% Mizar ND problem: t1_bvfunc24,bvfunc24,34,19 fof(dh_c1_1__bvfunc24,definition, ( ( ~ v1_xboole_0(c1_1__bvfunc24) => ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_1__bvfunc24) => ( A = k5_enumset1(B,C,D,E,F,G,H) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = D | C = E | C = F | C = G | C = H | D = E | D = F | D = G | D = H | E = F | E = G | E = H | F = G | F = H | G = H | k5_bvfunc_2(c1_1__bvfunc24,B,A) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,C,D),E),F),G),H) ) ) ) ) ) ) ) ) ) ) ) => ! [I] : ( ~ v1_xboole_0(I) => ! [J] : ( m1_subset_1(J,k1_zfmisc_1(k1_bvfunc_2(I))) => ! [K] : ( m1_eqrel_1(K,I) => ! [L] : ( m1_eqrel_1(L,I) => ! [M] : ( m1_eqrel_1(M,I) => ! [N] : ( m1_eqrel_1(N,I) => ! [O] : ( m1_eqrel_1(O,I) => ! [P] : ( m1_eqrel_1(P,I) => ! [Q] : ( m1_eqrel_1(Q,I) => ( J = k5_enumset1(K,L,M,N,O,P,Q) => ( K = L | K = M | K = N | K = O | K = P | K = Q | L = M | L = N | L = O | L = P | L = Q | M = N | M = O | M = P | M = Q | N = O | N = P | N = Q | O = P | O = Q | P = Q | k5_bvfunc_2(I,K,J) = k2_partit1(I,k2_partit1(I,k2_partit1(I,k2_partit1(I,k2_partit1(I,L,M),N),O),P),Q) ) ) ) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c1_1__bvfunc24),file(bvfunc24,c1_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c1_1__bvfunc24)]). fof(dh_c2_1__bvfunc24,definition, ( ( m1_subset_1(c2_1__bvfunc24,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(A,B,C,D,E,F,G) => ( A = B | A = C | A = D | A = E | A = F | A = G | B = C | B = D | B = E | B = F | B = G | C = D | C = E | C = F | C = G | D = E | D = F | D = G | E = F | E = G | F = G | k5_bvfunc_2(c1_1__bvfunc24,A,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,B,C),D),E),F),G) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) => ! [I] : ( m1_eqrel_1(I,c1_1__bvfunc24) => ! [J] : ( m1_eqrel_1(J,c1_1__bvfunc24) => ! [K] : ( m1_eqrel_1(K,c1_1__bvfunc24) => ! [L] : ( m1_eqrel_1(L,c1_1__bvfunc24) => ! [M] : ( m1_eqrel_1(M,c1_1__bvfunc24) => ! [N] : ( m1_eqrel_1(N,c1_1__bvfunc24) => ! [O] : ( m1_eqrel_1(O,c1_1__bvfunc24) => ( H = k5_enumset1(I,J,K,L,M,N,O) => ( I = J | I = K | I = L | I = M | I = N | I = O | J = K | J = L | J = M | J = N | J = O | K = L | K = M | K = N | K = O | L = M | L = N | L = O | M = N | M = O | N = O | k5_bvfunc_2(c1_1__bvfunc24,I,H) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,J,K),L),M),N),O) ) ) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c2_1__bvfunc24),file(bvfunc24,c2_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c2_1__bvfunc24)]). fof(dh_c3_1__bvfunc24,definition, ( ( m1_eqrel_1(c3_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,A,B,C,D,E,F) => ( c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c3_1__bvfunc24 = F | A = B | A = C | A = D | A = E | A = F | B = C | B = D | B = E | B = F | C = D | C = E | C = F | D = E | D = F | E = F | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,A,B),C),D),E),F) ) ) ) ) ) ) ) ) ) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_1__bvfunc24) => ! [I] : ( m1_eqrel_1(I,c1_1__bvfunc24) => ! [J] : ( m1_eqrel_1(J,c1_1__bvfunc24) => ! [K] : ( m1_eqrel_1(K,c1_1__bvfunc24) => ! [L] : ( m1_eqrel_1(L,c1_1__bvfunc24) => ! [M] : ( m1_eqrel_1(M,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(G,H,I,J,K,L,M) => ( G = H | G = I | G = J | G = K | G = L | G = M | H = I | H = J | H = K | H = L | H = M | I = J | I = K | I = L | I = M | J = K | J = L | J = M | K = L | K = M | L = M | k5_bvfunc_2(c1_1__bvfunc24,G,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,H,I),J),K),L),M) ) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c3_1__bvfunc24),file(bvfunc24,c3_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c3_1__bvfunc24)]). fof(dh_c4_1__bvfunc24,definition, ( ( m1_eqrel_1(c4_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,A,B,C,D,E) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c4_1__bvfunc24 = E | A = B | A = C | A = D | A = E | B = C | B = D | B = E | C = D | C = E | D = E | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,A),B),C),D),E) ) ) ) ) ) ) ) ) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_1__bvfunc24) => ! [I] : ( m1_eqrel_1(I,c1_1__bvfunc24) => ! [J] : ( m1_eqrel_1(J,c1_1__bvfunc24) => ! [K] : ( m1_eqrel_1(K,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,F,G,H,I,J,K) => ( c3_1__bvfunc24 = F | c3_1__bvfunc24 = G | c3_1__bvfunc24 = H | c3_1__bvfunc24 = I | c3_1__bvfunc24 = J | c3_1__bvfunc24 = K | F = G | F = H | F = I | F = J | F = K | G = H | G = I | G = J | G = K | H = I | H = J | H = K | I = J | I = K | J = K | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,F,G),H),I),J),K) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c4_1__bvfunc24),file(bvfunc24,c4_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c4_1__bvfunc24)]). fof(dh_c5_1__bvfunc24,definition, ( ( m1_eqrel_1(c5_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,A,B,C,D) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c5_1__bvfunc24 = D | A = B | A = C | A = D | B = C | B = D | C = D | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),A),B),C),D) ) ) ) ) ) ) ) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_1__bvfunc24) => ! [I] : ( m1_eqrel_1(I,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,E,F,G,H,I) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = E | c3_1__bvfunc24 = F | c3_1__bvfunc24 = G | c3_1__bvfunc24 = H | c3_1__bvfunc24 = I | c4_1__bvfunc24 = E | c4_1__bvfunc24 = F | c4_1__bvfunc24 = G | c4_1__bvfunc24 = H | c4_1__bvfunc24 = I | E = F | E = G | E = H | E = I | F = G | F = H | F = I | G = H | G = I | H = I | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,E),F),G),H),I) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c5_1__bvfunc24),file(bvfunc24,c5_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c5_1__bvfunc24)]). fof(dh_c6_1__bvfunc24,definition, ( ( m1_eqrel_1(c6_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,A,B,C) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c6_1__bvfunc24 = A | c6_1__bvfunc24 = B | c6_1__bvfunc24 = C | A = B | A = C | B = C | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),A),B),C) ) ) ) ) ) ) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,D,E,F,G) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c3_1__bvfunc24 = F | c3_1__bvfunc24 = G | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = D | c4_1__bvfunc24 = E | c4_1__bvfunc24 = F | c4_1__bvfunc24 = G | c5_1__bvfunc24 = D | c5_1__bvfunc24 = E | c5_1__bvfunc24 = F | c5_1__bvfunc24 = G | D = E | D = F | D = G | E = F | E = G | F = G | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),D),E),F),G) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c6_1__bvfunc24),file(bvfunc24,c6_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c6_1__bvfunc24)]). fof(dh_c7_1__bvfunc24,definition, ( ( m1_eqrel_1(c7_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,A,B) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = A | c6_1__bvfunc24 = B | c7_1__bvfunc24 = A | c7_1__bvfunc24 = B | A = B | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),A),B) ) ) ) ) ) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,C,D,E) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c4_1__bvfunc24 = E | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = C | c5_1__bvfunc24 = D | c5_1__bvfunc24 = E | c6_1__bvfunc24 = C | c6_1__bvfunc24 = D | c6_1__bvfunc24 = E | C = D | C = E | D = E | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),C),D),E) ) ) ) ) ) ), introduced(definition,[new_symbol(c7_1__bvfunc24),file(bvfunc24,c7_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c7_1__bvfunc24)]). fof(dh_c8_1__bvfunc24,definition, ( ( m1_eqrel_1(c8_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,A) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = A | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = A | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = A | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = A | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = A | c8_1__bvfunc24 = A | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),A) ) ) ) ) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,B,C) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = B | c6_1__bvfunc24 = C | c7_1__bvfunc24 = B | c7_1__bvfunc24 = C | B = C | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),B),C) ) ) ) ) ), introduced(definition,[new_symbol(c8_1__bvfunc24),file(bvfunc24,c8_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c8_1__bvfunc24)]). fof(dh_c9_1__bvfunc24,definition, ( ( m1_eqrel_1(c9_1__bvfunc24,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = c9_1__bvfunc24 | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = c9_1__bvfunc24 | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = c9_1__bvfunc24 | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = c9_1__bvfunc24 | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = c9_1__bvfunc24 | c8_1__bvfunc24 = c9_1__bvfunc24 | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24) ) ) ) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,A) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = A | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = A | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = A | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = A | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = A | c8_1__bvfunc24 = A | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),A) ) ) ) ), introduced(definition,[new_symbol(c9_1__bvfunc24),file(bvfunc24,c9_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c9_1__bvfunc24)]). fof(e1_1__bvfunc24,assumption, ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) & c3_1__bvfunc24 != c4_1__bvfunc24 & c3_1__bvfunc24 != c5_1__bvfunc24 & c3_1__bvfunc24 != c6_1__bvfunc24 & c3_1__bvfunc24 != c7_1__bvfunc24 & c3_1__bvfunc24 != c8_1__bvfunc24 & c3_1__bvfunc24 != c9_1__bvfunc24 & c4_1__bvfunc24 != c5_1__bvfunc24 & c4_1__bvfunc24 != c6_1__bvfunc24 & c4_1__bvfunc24 != c7_1__bvfunc24 & c4_1__bvfunc24 != c8_1__bvfunc24 & c4_1__bvfunc24 != c9_1__bvfunc24 & c5_1__bvfunc24 != c6_1__bvfunc24 & c5_1__bvfunc24 != c7_1__bvfunc24 & c5_1__bvfunc24 != c8_1__bvfunc24 & c5_1__bvfunc24 != c9_1__bvfunc24 & c6_1__bvfunc24 != c7_1__bvfunc24 & c6_1__bvfunc24 != c8_1__bvfunc24 & c6_1__bvfunc24 != c9_1__bvfunc24 & c7_1__bvfunc24 != c8_1__bvfunc24 & c7_1__bvfunc24 != c9_1__bvfunc24 & c8_1__bvfunc24 != c9_1__bvfunc24 ), introduced(assumption,[file(bvfunc24,e1_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,e1_1__bvfunc24)]). fof(antisymmetry_r2_hidden,theorem,( ! [A,B] : ( r2_hidden(A,B) => ~ r2_hidden(B,A) ) ), file(hidden,r2_hidden), [interesting(0.9),axiom,file(hidden,r2_hidden)]). fof(dt_k1_xboole_0,axiom,( $true ), file(xboole_0,k1_xboole_0), [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]). fof(fc1_xboole_0,theorem,( v1_xboole_0(k1_xboole_0) ), file(xboole_0,fc1_xboole_0), [interesting(0.9),axiom,file(xboole_0,fc1_xboole_0)]). fof(t1_subset,theorem,( ! [A,B] : ( r2_hidden(A,B) => m1_subset_1(A,B) ) ), file(subset,t1_subset), [interesting(0.9),axiom,file(subset,t1_subset)]). fof(t3_boole,theorem,( ! [A] : k4_xboole_0(A,k1_xboole_0) = A ), file(boole,t3_boole), [interesting(0.9),axiom,file(boole,t3_boole)]). fof(t4_boole,theorem,( ! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0 ), file(boole,t4_boole), [interesting(0.9),axiom,file(boole,t4_boole)]). fof(t4_subset,theorem,( ! [A,B,C] : ( ( r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) ) => m1_subset_1(A,C) ) ), file(subset,t4_subset), [interesting(0.9),axiom,file(subset,t4_subset)]). fof(t5_subset,theorem,( ! [A,B,C] : ~ ( r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C) ) ), file(subset,t5_subset), [interesting(0.9),axiom,file(subset,t5_subset)]). fof(existence_m1_eqrel_1,axiom,( ! [A] : ? [B] : m1_eqrel_1(B,A) ), file(eqrel_1,m1_eqrel_1), [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_1)]). fof(existence_m1_subset_1,axiom,( ! [A] : ? [B] : m1_subset_1(B,A) ), file(subset_1,m1_subset_1), [interesting(0.9),axiom,file(subset_1,m1_subset_1)]). fof(existence_m1_t_1topsp,axiom,( ! [A] : ? [B] : m1_t_1topsp(B,A) ), file(t_1topsp,m1_t_1topsp), [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]). fof(dt_k1_partit1,axiom,( $true ), file(partit1,k1_partit1), [interesting(0.9),axiom,file(partit1,k1_partit1)]). fof(dt_k1_tarski,axiom,( $true ), file(tarski,k1_tarski), [interesting(0.9),axiom,file(tarski,k1_tarski)]). fof(dt_k1_zfmisc_1,axiom,( $true ), file(zfmisc_1,k1_zfmisc_1), [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]). fof(dt_k4_xboole_0,axiom,( $true ), file(xboole_0,k4_xboole_0), [interesting(0.9),axiom,file(xboole_0,k4_xboole_0)]). fof(dt_m1_eqrel_1,axiom,( ! [A,B] : ( m1_eqrel_1(B,A) => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ), file(eqrel_1,m1_eqrel_1), [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_1)]). fof(dt_m1_subset_1,axiom,( $true ), file(subset_1,m1_subset_1), [interesting(0.9),axiom,file(subset_1,m1_subset_1)]). fof(dt_m1_t_1topsp,axiom,( $true ), file(t_1topsp,m1_t_1topsp), [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]). fof(cc1_eqrel_1,theorem,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ~ v1_xboole_0(B) ) ) ), file(eqrel_1,cc1_eqrel_1), [interesting(0.9),axiom,file(eqrel_1,cc1_eqrel_1)]). fof(cc2_eqrel_1,theorem,( ! [A,B] : ( m1_eqrel_1(B,A) => v1_setfam_1(B) ) ), file(eqrel_1,cc2_eqrel_1), [interesting(0.9),axiom,file(eqrel_1,cc2_eqrel_1)]). fof(fc1_subset_1,theorem,( ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ), file(subset_1,fc1_subset_1), [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]). fof(fc2_subset_1,theorem,( ! [A] : ~ v1_xboole_0(k1_tarski(A)) ), file(subset_1,fc2_subset_1), [interesting(0.9),axiom,file(subset_1,fc2_subset_1)]). fof(rc1_subset_1,theorem,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) ) ) ), file(subset_1,rc1_subset_1), [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]). fof(rc1_xboole_0,theorem,( ? [A] : v1_xboole_0(A) ), file(xboole_0,rc1_xboole_0), [interesting(0.9),axiom,file(xboole_0,rc1_xboole_0)]). fof(rc2_subset_1,theorem,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B) ) ), file(subset_1,rc2_subset_1), [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]). fof(rc2_xboole_0,theorem,( ? [A] : ~ v1_xboole_0(A) ), file(xboole_0,rc2_xboole_0), [interesting(0.9),axiom,file(xboole_0,rc2_xboole_0)]). fof(t2_subset,theorem,( ! [A,B] : ( m1_subset_1(A,B) => ( v1_xboole_0(B) | r2_hidden(A,B) ) ) ), file(subset,t2_subset), [interesting(0.9),axiom,file(subset,t2_subset)]). fof(t6_boole,theorem,( ! [A] : ( v1_xboole_0(A) => A = k1_xboole_0 ) ), file(boole,t6_boole), [interesting(0.9),axiom,file(boole,t6_boole)]). fof(t7_boole,theorem,( ! [A,B] : ~ ( r2_hidden(A,B) & v1_xboole_0(B) ) ), file(boole,t7_boole), [interesting(0.9),axiom,file(boole,t7_boole)]). fof(t8_boole,theorem,( ! [A,B] : ~ ( v1_xboole_0(A) & A != B & v1_xboole_0(B) ) ), file(boole,t8_boole), [interesting(0.9),axiom,file(boole,t8_boole)]). fof(commutativity_k2_partit1,theorem,( ! [A,B,C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => k2_partit1(A,B,C) = k2_partit1(A,C,B) ) ), file(partit1,k2_partit1), [interesting(0.9),axiom,file(partit1,k2_partit1)]). fof(reflexivity_r1_tarski,theorem,( ! [A,B] : r1_tarski(A,A) ), file(tarski,r1_tarski), [interesting(0.9),axiom,file(tarski,r1_tarski)]). fof(redefinition_k1_bvfunc_2,definition,( ! [A] : k1_bvfunc_2(A) = k1_partit1(A) ), file(bvfunc_2,k1_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,k1_bvfunc_2)]). fof(redefinition_k4_bvfunc_2,definition,( ! [A,B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => k4_bvfunc_2(A,B) = k1_tarski(B) ) ), file(bvfunc_2,k4_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,k4_bvfunc_2)]). fof(redefinition_k6_subset_1,definition,( ! [A,B,C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => k6_subset_1(A,B,C) = k4_xboole_0(B,C) ) ), file(subset_1,k6_subset_1), [interesting(0.9),axiom,file(subset_1,k6_subset_1)]). fof(dt_k1_bvfunc_2,axiom,( ! [A] : ( v1_t_1topsp(k1_bvfunc_2(A),A) & m1_t_1topsp(k1_bvfunc_2(A),A) ) ), file(bvfunc_2,k1_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,k1_bvfunc_2)]). fof(dt_k2_bvfunc_2,axiom,( ! [A,B] : ( ( ~ v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) ) => m1_eqrel_1(k2_bvfunc_2(A,B),A) ) ), file(bvfunc_2,k2_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,k2_bvfunc_2)]). fof(dt_k2_partit1,axiom,( ! [A,B,C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_eqrel_1(C,A) ) => m1_eqrel_1(k2_partit1(A,B,C),A) ) ), file(partit1,k2_partit1), [interesting(0.9),axiom,file(partit1,k2_partit1)]). fof(dt_k4_bvfunc_2,axiom,( ! [A,B] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) ) => m1_subset_1(k4_bvfunc_2(A,B),k1_zfmisc_1(k1_bvfunc_2(A))) ) ), file(bvfunc_2,k4_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,k4_bvfunc_2)]). fof(dt_k5_bvfunc_2,axiom,( ! [A,B,C] : ( ( ~ v1_xboole_0(A) & m1_eqrel_1(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) ) => m1_eqrel_1(k5_bvfunc_2(A,B,C),A) ) ), file(bvfunc_2,k5_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,k5_bvfunc_2)]). fof(dt_k6_subset_1,axiom,( ! [A,B,C] : ( ( m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) ) => m1_subset_1(k6_subset_1(A,B,C),k1_zfmisc_1(A)) ) ), file(subset_1,k6_subset_1), [interesting(0.9),axiom,file(subset_1,k6_subset_1)]). fof(dt_c1_1__bvfunc24,assumption,( ~ v1_xboole_0(c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c1_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c1_1__bvfunc24)]). fof(dt_c2_1__bvfunc24,assumption,( m1_subset_1(c2_1__bvfunc24,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) ), introduced(assumption,[file(bvfunc24,c2_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c2_1__bvfunc24)]). fof(dt_c3_1__bvfunc24,assumption,( m1_eqrel_1(c3_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c3_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c3_1__bvfunc24)]). fof(dt_c4_1__bvfunc24,assumption,( m1_eqrel_1(c4_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c4_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c4_1__bvfunc24)]). fof(dt_c5_1__bvfunc24,assumption,( m1_eqrel_1(c5_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c5_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c5_1__bvfunc24)]). fof(dt_c6_1__bvfunc24,assumption,( m1_eqrel_1(c6_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c6_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c6_1__bvfunc24)]). fof(dt_c7_1__bvfunc24,assumption,( m1_eqrel_1(c7_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c7_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c7_1__bvfunc24)]). fof(dt_c8_1__bvfunc24,assumption,( m1_eqrel_1(c8_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c8_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c8_1__bvfunc24)]). fof(dt_c9_1__bvfunc24,assumption,( m1_eqrel_1(c9_1__bvfunc24,c1_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,c9_1__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c9_1__bvfunc24)]). fof(t3_subset,theorem,( ! [A,B] : ( m1_subset_1(A,k1_zfmisc_1(B)) <=> r1_tarski(A,B) ) ), file(subset,t3_subset), [interesting(0.9),axiom,file(subset,t3_subset)]). fof(dt_c1_1_4__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_4__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c1_1_4__bvfunc24)]). fof(d3_tarski,definition,( ! [A,B] : ( r1_tarski(A,B) <=> ! [C] : ( r2_hidden(C,A) => r2_hidden(C,B) ) ) ), file(tarski,d3_tarski), [interesting(0.9),axiom,file(tarski,d3_tarski)]). fof(dh_c1_1_4__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_4__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) & ~ r2_hidden(c1_1_4__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ) => ! [A] : ~ ( r2_hidden(A,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) & ~ r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ) ), introduced(definition,[new_symbol(c1_1_4__bvfunc24),file(bvfunc24,c1_1_4__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c1_1_4__bvfunc24)]). fof(e1_1_4__bvfunc24,assumption,( r2_hidden(c1_1_4__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ), introduced(assumption,[file(bvfunc24,e1_1_4__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,e1_1_4__bvfunc24)]). fof(commutativity_k3_setfam_1,theorem,( ! [A,B] : k3_setfam_1(A,B) = k3_setfam_1(B,A) ), file(setfam_1,k3_setfam_1), [interesting(0.9),axiom,file(setfam_1,k3_setfam_1)]). fof(dt_k3_setfam_1,axiom,( $true ), file(setfam_1,k3_setfam_1), [interesting(0.9),axiom,file(setfam_1,k3_setfam_1)]). fof(t2_boole,theorem,( ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ), file(boole,t2_boole), [interesting(0.9),axiom,file(boole,t2_boole)]). fof(commutativity_k3_xboole_0,theorem,( ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ), file(xboole_0,k3_xboole_0), [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]). fof(idempotence_k3_xboole_0,theorem,( ! [A,B] : k3_xboole_0(A,A) = A ), file(xboole_0,k3_xboole_0), [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]). fof(dt_k1_funct_1,axiom,( $true ), file(funct_1,k1_funct_1), [interesting(0.9),axiom,file(funct_1,k1_funct_1)]). fof(dt_k3_xboole_0,axiom,( $true ), file(xboole_0,k3_xboole_0), [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]). fof(dh_c2_1_4__bvfunc24,definition, ( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) & k1_relat_1(A) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) & k2_relat_1(A) = B & ! [C] : ( r2_hidden(C,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(A,C),C) ) & c1_1_4__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,B) & c1_1_4__bvfunc24 != k1_xboole_0 ) ) => ( v1_relat_1(c2_1_4__bvfunc24) & v1_funct_1(c2_1_4__bvfunc24) & ? [D] : ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) & k1_relat_1(c2_1_4__bvfunc24) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) & k2_relat_1(c2_1_4__bvfunc24) = D & ! [E] : ( r2_hidden(E,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(c2_1_4__bvfunc24,E),E) ) & c1_1_4__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,D) & c1_1_4__bvfunc24 != k1_xboole_0 ) ) ), introduced(definition,[new_symbol(c2_1_4__bvfunc24),file(bvfunc24,c2_1_4__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c2_1_4__bvfunc24)]). fof(dt_k1_relat_1,axiom,( $true ), file(relat_1,k1_relat_1), [interesting(0.9),axiom,file(relat_1,k1_relat_1)]). fof(dt_k2_relat_1,axiom,( $true ), file(relat_1,k2_relat_1), [interesting(0.9),axiom,file(relat_1,k2_relat_1)]). fof(dt_k8_setfam_1,axiom,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ) ), file(setfam_1,k8_setfam_1), [interesting(0.9),axiom,file(setfam_1,k8_setfam_1)]). fof(d1_bvfunc_2,definition,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ( C = k2_bvfunc_2(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E] : ( v1_relat_1(E) & v1_funct_1(E) & ? [F] : ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A))) & k1_relat_1(E) = B & k2_relat_1(E) = F & ! [G] : ( r2_hidden(G,B) => r2_hidden(k1_funct_1(E,G),G) ) & D = k8_setfam_1(A,F) & D != k1_xboole_0 ) ) ) ) ) ) ) ), file(bvfunc_2,d1_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,d1_bvfunc_2)]). fof(e2_1_4__bvfunc24,plain,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ? [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) & k1_relat_1(A) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) & k2_relat_1(A) = B & ! [C] : ( r2_hidden(C,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(A,C),C) ) & c1_1_4__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,B) & c1_1_4__bvfunc24 != k1_xboole_0 ) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k4_xboole_0,dt_m1_t_1topsp,fc2_subset_1,t3_boole,t4_boole,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_bvfunc_2,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,e1_1_4__bvfunc24,d1_bvfunc_2]), [interesting(0.65),file(bvfunc24,e2_1_4__bvfunc24),[file(bvfunc24,e2_1_4__bvfunc24)]]). fof(dt_c2_1_4__bvfunc24,plain, ( v1_relat_1(c2_1_4__bvfunc24) & v1_funct_1(c2_1_4__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[dh_c2_1_4__bvfunc24,e2_1_4__bvfunc24]), [interesting(0.65),file(bvfunc24,c2_1_4__bvfunc24),[file(bvfunc24,c2_1_4__bvfunc24)]]). fof(dh_c3_1_4__bvfunc24,definition, ( ? [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) & k1_relat_1(c2_1_4__bvfunc24) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) & k2_relat_1(c2_1_4__bvfunc24) = A & ! [B] : ( r2_hidden(B,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(c2_1_4__bvfunc24,B),B) ) & c1_1_4__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,A) & c1_1_4__bvfunc24 != k1_xboole_0 ) => ( m1_subset_1(c3_1_4__bvfunc24,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) & k1_relat_1(c2_1_4__bvfunc24) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) & k2_relat_1(c2_1_4__bvfunc24) = c3_1_4__bvfunc24 & ! [C] : ( r2_hidden(C,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(c2_1_4__bvfunc24,C),C) ) & c1_1_4__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,c3_1_4__bvfunc24) & c1_1_4__bvfunc24 != k1_xboole_0 ) ), introduced(definition,[new_symbol(c3_1_4__bvfunc24),file(bvfunc24,c3_1_4__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c3_1_4__bvfunc24)]). fof(dt_c3_1_4__bvfunc24,plain,( m1_subset_1(c3_1_4__bvfunc24,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[dh_c2_1_4__bvfunc24,dh_c3_1_4__bvfunc24,e2_1_4__bvfunc24]), [interesting(0.65),file(bvfunc24,c3_1_4__bvfunc24),[file(bvfunc24,c3_1_4__bvfunc24)]]). fof(fc2_xboole_0,theorem,( ! [A,B] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_xboole_0(A,B)) ) ), file(xboole_0,fc2_xboole_0), [interesting(0.9),axiom,file(xboole_0,fc2_xboole_0)]). fof(fc3_xboole_0,theorem,( ! [A,B] : ( ~ v1_xboole_0(A) => ~ v1_xboole_0(k2_xboole_0(B,A)) ) ), file(xboole_0,fc3_xboole_0), [interesting(0.9),axiom,file(xboole_0,fc3_xboole_0)]). fof(commutativity_k2_xboole_0,theorem,( ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ), file(xboole_0,k2_xboole_0), [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]). fof(idempotence_k2_xboole_0,theorem,( ! [A,B] : k2_xboole_0(A,A) = A ), file(xboole_0,k2_xboole_0), [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]). fof(dt_k2_xboole_0,axiom,( $true ), file(xboole_0,k2_xboole_0), [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]). fof(dt_k4_enumset1,axiom,( $true ), file(enumset1,k4_enumset1), [interesting(0.9),axiom,file(enumset1,k4_enumset1)]). fof(t1_boole,theorem,( ! [A] : k2_xboole_0(A,k1_xboole_0) = A ), file(boole,t1_boole), [interesting(0.9),axiom,file(boole,t1_boole)]). fof(commutativity_k2_tarski,theorem,( ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ), file(tarski,k2_tarski), [interesting(0.9),axiom,file(tarski,k2_tarski)]). fof(dt_k2_enumset1,axiom,( $true ), file(enumset1,k2_enumset1), [interesting(0.9),axiom,file(enumset1,k2_enumset1)]). fof(dt_k2_tarski,axiom,( $true ), file(tarski,k2_tarski), [interesting(0.9),axiom,file(tarski,k2_tarski)]). fof(dt_k3_enumset1,axiom,( $true ), file(enumset1,k3_enumset1), [interesting(0.9),axiom,file(enumset1,k3_enumset1)]). fof(fc3_subset_1,theorem,( ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ), file(subset_1,fc3_subset_1), [interesting(0.9),axiom,file(subset_1,fc3_subset_1)]). fof(t51_enumset1,theorem,( ! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F)) ), file(enumset1,t51_enumset1), [interesting(0.9),axiom,file(enumset1,t51_enumset1)]). fof(e1_1_1__bvfunc24,plain,( k4_xboole_0(k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t51_enumset1]), [interesting(0.65),file(bvfunc24,e1_1_1__bvfunc24),[file(bvfunc24,e1_1_1__bvfunc24)]]). fof(t42_xboole_1,theorem,( ! [A,B,C] : k4_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,C),k4_xboole_0(B,C)) ), file(xboole_1,t42_xboole_1), [interesting(0.9),axiom,file(xboole_1,t42_xboole_1)]). fof(e2_1_1__bvfunc24,plain,( k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t42_xboole_1]), [interesting(0.65),file(bvfunc24,e2_1_1__bvfunc24),[file(bvfunc24,e2_1_1__bvfunc24)]]). fof(dt_k5_enumset1,axiom,( $true ), file(enumset1,k5_enumset1), [interesting(0.9),axiom,file(enumset1,k5_enumset1)]). fof(d1_tarski,definition,( ! [A,B] : ( B = k1_tarski(A) <=> ! [C] : ( r2_hidden(C,B) <=> C = A ) ) ), file(tarski,d1_tarski), [interesting(0.9),axiom,file(tarski,d1_tarski)]). fof(e4_1__bvfunc24,plain,( ~ r2_hidden(c4_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k5_enumset1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc24,d1_tarski]), [interesting(0.8),file(bvfunc24,e4_1__bvfunc24),[file(bvfunc24,e4_1__bvfunc24)]]). fof(t67_zfmisc_1,theorem,( ! [A,B] : ( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A) <=> ~ r2_hidden(A,B) ) ), file(zfmisc_1,t67_zfmisc_1), [interesting(0.9),axiom,file(zfmisc_1,t67_zfmisc_1)]). fof(e3_1_1__bvfunc24,plain,( k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k4_xboole_0(k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e4_1__bvfunc24,t67_zfmisc_1]), [interesting(0.65),file(bvfunc24,e3_1_1__bvfunc24),[file(bvfunc24,e3_1_1__bvfunc24)]]). fof(t47_enumset1,theorem,( ! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)) ), file(enumset1,t47_enumset1), [interesting(0.9),axiom,file(enumset1,t47_enumset1)]). fof(e4_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k4_xboole_0(k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k2_enumset1(c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t47_enumset1]), [interesting(0.65),file(bvfunc24,e4_1_1__bvfunc24),[file(bvfunc24,e4_1_1__bvfunc24)]]). fof(e5_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k2_enumset1(c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k2_enumset1(c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_enumset1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t42_xboole_1]), [interesting(0.65),file(bvfunc24,e5_1_1__bvfunc24),[file(bvfunc24,e5_1_1__bvfunc24)]]). fof(t45_enumset1,theorem,( ! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D)) ), file(enumset1,t45_enumset1), [interesting(0.9),axiom,file(enumset1,t45_enumset1)]). fof(e6_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k2_enumset1(c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k2_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc3_subset_1,t45_enumset1]), [interesting(0.65),file(bvfunc24,e6_1_1__bvfunc24),[file(bvfunc24,e6_1_1__bvfunc24)]]). fof(e7_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k2_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k2_xboole_0(k4_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc3_subset_1,t42_xboole_1]), [interesting(0.65),file(bvfunc24,e7_1_1__bvfunc24),[file(bvfunc24,e7_1_1__bvfunc24)]]). fof(e8_1__bvfunc24,plain,( ~ r2_hidden(c8_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k5_enumset1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc24,d1_tarski]), [interesting(0.8),file(bvfunc24,e8_1__bvfunc24),[file(bvfunc24,e8_1__bvfunc24)]]). fof(e9_1__bvfunc24,plain,( ~ r2_hidden(c9_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k5_enumset1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc24,d1_tarski]), [interesting(0.8),file(bvfunc24,e9_1__bvfunc24),[file(bvfunc24,e9_1__bvfunc24)]]). fof(e6_1__bvfunc24,plain,( ~ r2_hidden(c6_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k5_enumset1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc24,d1_tarski]), [interesting(0.8),file(bvfunc24,e6_1__bvfunc24),[file(bvfunc24,e6_1__bvfunc24)]]). fof(e7_1__bvfunc24,plain,( ~ r2_hidden(c7_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k5_enumset1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc24,d1_tarski]), [interesting(0.8),file(bvfunc24,e7_1__bvfunc24),[file(bvfunc24,e7_1__bvfunc24)]]). fof(t72_zfmisc_1,theorem,( ! [A,B,C] : ( k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B) <=> ( ~ r2_hidden(A,C) & ~ r2_hidden(B,C) ) ) ), file(zfmisc_1,t72_zfmisc_1), [interesting(0.9),axiom,file(zfmisc_1,t72_zfmisc_1)]). fof(e10_1__bvfunc24,plain,( k4_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_tarski,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k2_tarski,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,fc3_subset_1,t1_subset,t7_boole,e6_1__bvfunc24,e7_1__bvfunc24,t72_zfmisc_1]), [interesting(0.8),file(bvfunc24,e10_1__bvfunc24),[file(bvfunc24,e10_1__bvfunc24)]]). fof(e8_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k2_xboole_0(k4_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_xboole_0(k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k2_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc3_subset_1,t1_subset,t7_boole,e8_1__bvfunc24,e9_1__bvfunc24,e10_1__bvfunc24,t72_zfmisc_1]), [interesting(0.65),file(bvfunc24,e8_1_1__bvfunc24),[file(bvfunc24,e8_1_1__bvfunc24)]]). fof(e5_1__bvfunc24,plain,( ~ r2_hidden(c5_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k5_enumset1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc24,d1_tarski]), [interesting(0.8),file(bvfunc24,e5_1__bvfunc24),[file(bvfunc24,e5_1__bvfunc24)]]). fof(e9_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k2_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k2_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,fc3_subset_1,t1_subset,t7_boole,e5_1__bvfunc24,t67_zfmisc_1]), [interesting(0.65),file(bvfunc24,e9_1_1__bvfunc24),[file(bvfunc24,e9_1_1__bvfunc24)]]). fof(e10_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k2_xboole_0(k2_tarski(c6_1__bvfunc24,c7_1__bvfunc24),k2_tarski(c8_1__bvfunc24,c9_1__bvfunc24)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k2_enumset1(c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc3_subset_1,t45_enumset1]), [interesting(0.65),file(bvfunc24,e10_1_1__bvfunc24),[file(bvfunc24,e10_1_1__bvfunc24)]]). fof(e11_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c5_1__bvfunc24),k2_enumset1(c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t47_enumset1]), [interesting(0.65),file(bvfunc24,e11_1_1__bvfunc24),[file(bvfunc24,e11_1_1__bvfunc24)]]). fof(e12_1_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c4_1__bvfunc24),k3_enumset1(c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)) = k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t51_enumset1]), [interesting(0.65),file(bvfunc24,e12_1_1__bvfunc24),[file(bvfunc24,e12_1_1__bvfunc24)]]). fof(e11_1__bvfunc24,plain,( k4_xboole_0(k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) ), inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc3_subset_1,e1_1_1__bvfunc24,e2_1_1__bvfunc24,e3_1_1__bvfunc24,e4_1_1__bvfunc24,e5_1_1__bvfunc24,e6_1_1__bvfunc24,e7_1_1__bvfunc24,e8_1_1__bvfunc24,e9_1_1__bvfunc24,e10_1_1__bvfunc24,e11_1_1__bvfunc24,e12_1_1__bvfunc24]), [interesting(0.8),file(bvfunc24,e11_1__bvfunc24),[file(bvfunc24,e11_1__bvfunc24)]]). fof(t56_enumset1,theorem,( ! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_tarski(A),k4_enumset1(B,C,D,E,F,G)) ), file(enumset1,t56_enumset1), [interesting(0.9),axiom,file(enumset1,t56_enumset1)]). fof(e3_1__bvfunc24,plain,( k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24),k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k4_xboole_0,dt_k5_enumset1,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,e1_1__bvfunc24,t56_enumset1]), [interesting(0.8),file(bvfunc24,e3_1__bvfunc24),[file(bvfunc24,e3_1__bvfunc24)]]). fof(e1_1_2__bvfunc24,plain,( k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e11_1__bvfunc24,e3_1__bvfunc24,t42_xboole_1]), [interesting(0.65),file(bvfunc24,e1_1_2__bvfunc24),[file(bvfunc24,e1_1_2__bvfunc24)]]). fof(t37_xboole_1,theorem,( ! [A,B] : ( k4_xboole_0(A,B) = k1_xboole_0 <=> r1_tarski(A,B) ) ), file(xboole_1,t37_xboole_1), [interesting(0.9),axiom,file(xboole_1,t37_xboole_1)]). fof(e2_1_2__bvfunc24,plain,( k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24),k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)),k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)) = k2_xboole_0(k1_xboole_0,k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[antisymmetry_r2_hidden,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,reflexivity_r1_tarski,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_xboole_0,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_boole,t3_boole,t3_subset,t4_boole,t6_boole,t37_xboole_1]), [interesting(0.65),file(bvfunc24,e2_1_2__bvfunc24),[file(bvfunc24,e2_1_2__bvfunc24)]]). fof(e12_1__bvfunc24,plain,( k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) = k2_xboole_0(k1_xboole_0,k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24)) ), inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[e1_1_2__bvfunc24,e2_1_2__bvfunc24]), [interesting(0.8),file(bvfunc24,e12_1__bvfunc24),[file(bvfunc24,e12_1__bvfunc24)]]). fof(d4_enumset1,definition,( ! [A,B,C,D,E,F,G] : ( G = k4_enumset1(A,B,C,D,E,F) <=> ! [H] : ( r2_hidden(H,G) <=> ~ ( H != A & H != B & H != C & H != D & H != E & H != F ) ) ) ), file(enumset1,d4_enumset1), [interesting(0.9),axiom,file(enumset1,d4_enumset1)]). fof(e4_1_4__bvfunc24,plain, ( r2_hidden(c4_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) & r2_hidden(c5_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) & r2_hidden(c6_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) & r2_hidden(c7_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) & r2_hidden(c8_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) & r2_hidden(c9_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_xboole_0,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_boole,t1_subset,t6_boole,t7_boole,e12_1__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e4_1_4__bvfunc24),[file(bvfunc24,e4_1_4__bvfunc24)]]). fof(e3_1_4__bvfunc24,plain, ( k1_relat_1(c2_1_4__bvfunc24) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)) & k2_relat_1(c2_1_4__bvfunc24) = c3_1_4__bvfunc24 & ! [A] : ( r2_hidden(A,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(c2_1_4__bvfunc24,A),A) ) & c1_1_4__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,c3_1_4__bvfunc24) & c1_1_4__bvfunc24 != k1_xboole_0 ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[dh_c2_1_4__bvfunc24,dh_c3_1_4__bvfunc24,e2_1_4__bvfunc24]), [interesting(0.65),file(bvfunc24,e3_1_4__bvfunc24),[file(bvfunc24,e3_1_4__bvfunc24)]]). fof(e5_1_4__bvfunc24,plain, ( r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),c4_1__bvfunc24) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),c5_1__bvfunc24) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),c6_1__bvfunc24) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),c7_1__bvfunc24) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),c8_1__bvfunc24) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24),c9_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e4_1_4__bvfunc24,e3_1_4__bvfunc24]), [interesting(0.65),file(bvfunc24,e5_1_4__bvfunc24),[file(bvfunc24,e5_1_4__bvfunc24)]]). fof(d5_setfam_1,definition,( ! [A,B,C] : ( C = k3_setfam_1(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ? [E,F] : ( r2_hidden(E,A) & r2_hidden(F,B) & D = k3_xboole_0(E,F) ) ) ) ), file(setfam_1,d5_setfam_1), [interesting(0.9),axiom,file(setfam_1,d5_setfam_1)]). fof(e20_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k3_setfam_1(c4_1__bvfunc24,c5_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e5_1_4__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e20_1_4__bvfunc24),[file(bvfunc24,e20_1_4__bvfunc24)]]). fof(dt_c1_1_4_1__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_4_1__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_4_1__bvfunc24)]). fof(dh_c1_1_4_1__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) & ~ r2_hidden(c1_1_4_1__bvfunc24,c1_1_4__bvfunc24) ) => ! [A] : ~ ( r2_hidden(A,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) & ~ r2_hidden(A,c1_1_4__bvfunc24) ) ), introduced(definition,[new_symbol(c1_1_4_1__bvfunc24),file(bvfunc24,c1_1_4_1__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_4_1__bvfunc24)]). fof(e1_1_4_1__bvfunc24,assumption,( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), introduced(assumption,[file(bvfunc24,e1_1_4_1__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_4_1__bvfunc24)]). fof(dt_k1_setfam_1,axiom,( $true ), file(setfam_1,k1_setfam_1), [interesting(0.9),axiom,file(setfam_1,k1_setfam_1)]). fof(dt_c1_1_4_1_1__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_4_1_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,c1_1_4_1_1__bvfunc24)]). fof(dh_c1_1_4_1_1__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_4_1_1__bvfunc24,k2_relat_1(c2_1_4__bvfunc24)) & ~ r2_hidden(c1_1_4_1_1__bvfunc24,k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) => ! [A] : ~ ( r2_hidden(A,k2_relat_1(c2_1_4__bvfunc24)) & ~ r2_hidden(A,k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) ), introduced(definition,[new_symbol(c1_1_4_1_1__bvfunc24),file(bvfunc24,c1_1_4_1_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,c1_1_4_1_1__bvfunc24)]). fof(e1_1_4_1_1__bvfunc24,assumption,( r2_hidden(c1_1_4_1_1__bvfunc24,k2_relat_1(c2_1_4__bvfunc24)) ), introduced(assumption,[file(bvfunc24,e1_1_4_1_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,e1_1_4_1_1__bvfunc24)]). fof(dh_c2_1_4_1_1__bvfunc24,definition, ( ? [A] : ( r2_hidden(A,k1_relat_1(c2_1_4__bvfunc24)) & c1_1_4_1_1__bvfunc24 = k1_funct_1(c2_1_4__bvfunc24,A) ) => ( r2_hidden(c2_1_4_1_1__bvfunc24,k1_relat_1(c2_1_4__bvfunc24)) & c1_1_4_1_1__bvfunc24 = k1_funct_1(c2_1_4__bvfunc24,c2_1_4_1_1__bvfunc24) ) ), introduced(definition,[new_symbol(c2_1_4_1_1__bvfunc24),file(bvfunc24,c2_1_4_1_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,c2_1_4_1_1__bvfunc24)]). fof(d5_funct_1,definition,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( B = k2_relat_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ? [D] : ( r2_hidden(D,k1_relat_1(A)) & C = k1_funct_1(A,D) ) ) ) ) ), file(funct_1,d5_funct_1), [interesting(0.9),axiom,file(funct_1,d5_funct_1)]). fof(e2_1_4_1_1__bvfunc24,plain,( ? [A] : ( r2_hidden(A,k1_relat_1(c2_1_4__bvfunc24)) & c1_1_4_1_1__bvfunc24 = k1_funct_1(c2_1_4__bvfunc24,A) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,e1_1_4_1_1__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k2_relat_1,dt_c1_1_4_1_1__bvfunc24,dt_c2_1_4__bvfunc24,t1_subset,t7_boole,e1_1_4_1_1__bvfunc24,d5_funct_1]), [interesting(0.35),file(bvfunc24,e2_1_4_1_1__bvfunc24),[file(bvfunc24,e2_1_4_1_1__bvfunc24)]]). fof(dt_c2_1_4_1_1__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,e1_1_4_1_1__bvfunc24])],[dh_c2_1_4_1_1__bvfunc24,e2_1_4_1_1__bvfunc24]), [interesting(0.35),file(bvfunc24,c2_1_4_1_1__bvfunc24),[file(bvfunc24,c2_1_4_1_1__bvfunc24)]]). fof(e3_1_4_1_1__bvfunc24,plain, ( r2_hidden(c2_1_4_1_1__bvfunc24,k1_relat_1(c2_1_4__bvfunc24)) & c1_1_4_1_1__bvfunc24 = k1_funct_1(c2_1_4__bvfunc24,c2_1_4_1_1__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,e1_1_4_1_1__bvfunc24])],[dh_c2_1_4_1_1__bvfunc24,e2_1_4_1_1__bvfunc24]), [interesting(0.35),file(bvfunc24,e3_1_4_1_1__bvfunc24),[file(bvfunc24,e3_1_4_1_1__bvfunc24)]]). fof(e4_1_4_1_1__bvfunc24,plain,( ~ ( c2_1_4_1_1__bvfunc24 != c4_1__bvfunc24 & c2_1_4_1_1__bvfunc24 != c5_1__bvfunc24 & c2_1_4_1_1__bvfunc24 != c6_1__bvfunc24 & c2_1_4_1_1__bvfunc24 != c7_1__bvfunc24 & c2_1_4_1_1__bvfunc24 != c8_1__bvfunc24 & c2_1_4_1_1__bvfunc24 != c9_1__bvfunc24 ) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,e1_1_4_1_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c1_1_4_1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c2_1_4_1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_boole,t1_subset,t6_boole,t7_boole,e12_1__bvfunc24,e3_1_4__bvfunc24,e3_1_4_1_1__bvfunc24,d4_enumset1]), [interesting(0.35),file(bvfunc24,e4_1_4_1_1__bvfunc24),[file(bvfunc24,e4_1_4_1_1__bvfunc24)]]). fof(e5_1_4_1_1__bvfunc24,plain,( r2_hidden(c1_1_4_1_1__bvfunc24,k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,e1_1_4_1_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k4_enumset1,dt_c1_1_4_1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c2_1_4_1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e4_1_4_1_1__bvfunc24,e3_1_4_1_1__bvfunc24,d4_enumset1]), [interesting(0.35),file(bvfunc24,e5_1_4_1_1__bvfunc24),[file(bvfunc24,e5_1_4_1_1__bvfunc24)]]). fof(i3_1_4_1_1__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_4_1_1__bvfunc24)]), [interesting(0.35),trivial,file(bvfunc24,i3_1_4_1_1__bvfunc24)]). fof(i2_1_4_1_1__bvfunc24,plain,( r2_hidden(c1_1_4_1_1__bvfunc24,k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), inference(conclusion,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,e1_1_4_1_1__bvfunc24])],[e5_1_4_1_1__bvfunc24,i3_1_4_1_1__bvfunc24]), [interesting(0.35),file(bvfunc24,i2_1_4_1_1__bvfunc24),[file(bvfunc24,i2_1_4_1_1__bvfunc24)]]). fof(i1_1_4_1_1__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4_1_1__bvfunc24,k2_relat_1(c2_1_4__bvfunc24)) & ~ r2_hidden(c1_1_4_1_1__bvfunc24,k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) ), inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1_4_1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24]),discharge_asm(discharge,[e1_1_4_1_1__bvfunc24])],[e1_1_4_1_1__bvfunc24,i2_1_4_1_1__bvfunc24]), [interesting(0.35),file(bvfunc24,i1_1_4_1_1__bvfunc24),[file(bvfunc24,i1_1_4_1_1__bvfunc24)]]). fof(i1_1_4_1_1_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4_1_1__bvfunc24,k2_relat_1(c2_1_4__bvfunc24)) & ~ r2_hidden(c1_1_4_1_1__bvfunc24,k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) ), inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24]),discharge_asm(discharge,[dt_c1_1_4_1_1__bvfunc24])],[dt_c1_1_4_1_1__bvfunc24,i1_1_4_1_1__bvfunc24]), [interesting(0.5),e7_1_4_1__bvfunc24]). fof(e7_1_4_1__bvfunc24,plain,( r1_tarski(k2_relat_1(c2_1_4__bvfunc24),k4_enumset1(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), inference(let,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[i1_1_4_1_1_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_relat_1,dt_k4_enumset1,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,d3_tarski,dh_c1_1_4_1_1__bvfunc24]), [interesting(0.5),file(bvfunc24,e7_1_4_1__bvfunc24),[file(bvfunc24,e7_1_4_1__bvfunc24)]]). fof(d3_xboole_0,definition,( ! [A,B,C] : ( C = k3_xboole_0(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,A) & r2_hidden(D,B) ) ) ) ), file(xboole_0,d3_xboole_0), [interesting(0.9),axiom,file(xboole_0,d3_xboole_0)]). fof(e2_1_4_1__bvfunc24,plain, ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24))) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_4_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e1_1_4_1__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e2_1_4_1__bvfunc24),[file(bvfunc24,e2_1_4_1__bvfunc24)]]). fof(e3_1_4_1__bvfunc24,plain, ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24))) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_4_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e2_1_4_1__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e3_1_4_1__bvfunc24),[file(bvfunc24,e3_1_4_1__bvfunc24)]]). fof(e4_1_4_1__bvfunc24,plain, ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24))) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_4_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,t1_subset,t7_boole,e3_1_4_1__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e4_1_4_1__bvfunc24),[file(bvfunc24,e4_1_4_1__bvfunc24)]]). fof(e5_1_4_1__bvfunc24,plain, ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24))) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_4_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,t1_subset,t7_boole,e4_1_4_1__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e5_1_4_1__bvfunc24),[file(bvfunc24,e5_1_4_1__bvfunc24)]]). fof(e6_1_4_1__bvfunc24,plain, ( r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24)) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)) & r2_hidden(c1_1_4_1__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_4_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e5_1_4_1__bvfunc24,e1_1_4_1__bvfunc24,e3_1_4_1__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e6_1_4_1__bvfunc24),[file(bvfunc24,e6_1_4_1__bvfunc24)]]). fof(e8_1_4_1__bvfunc24,plain,( ! [A] : ( r2_hidden(A,k2_relat_1(c2_1_4__bvfunc24)) => r2_hidden(c1_1_4_1__bvfunc24,A) ) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c1_1_4_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_4_1__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t4_subset,t5_subset,t6_boole,t8_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_relat_1,dt_k4_enumset1,dt_c1_1_4_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t3_subset,t7_boole,e7_1_4_1__bvfunc24,e6_1_4_1__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e8_1_4_1__bvfunc24),[file(bvfunc24,e8_1_4_1__bvfunc24)]]). fof(e6_1_4__bvfunc24,plain, ( r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k2_relat_1(c2_1_4__bvfunc24)) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24),k2_relat_1(c2_1_4__bvfunc24)) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24),k2_relat_1(c2_1_4__bvfunc24)) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24),k2_relat_1(c2_1_4__bvfunc24)) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24),k2_relat_1(c2_1_4__bvfunc24)) & r2_hidden(k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24),k2_relat_1(c2_1_4__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc24,e1_1_4__bvfunc24,dt_c2_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_1_4__bvfunc24,e4_1_4__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e6_1_4__bvfunc24),[file(bvfunc24,e6_1_4__bvfunc24)]]). fof(redefinition_k6_setfam_1,definition,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k6_setfam_1(A,B) = k1_setfam_1(B) ) ), file(setfam_1,k6_setfam_1), [interesting(0.9),axiom,file(setfam_1,k6_setfam_1)]). fof(dt_k6_setfam_1,axiom,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)) ) ), file(setfam_1,k6_setfam_1), [interesting(0.9),axiom,file(setfam_1,k6_setfam_1)]). fof(d10_setfam_1,definition,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( B != k1_xboole_0 => k8_setfam_1(A,B) = k6_setfam_1(A,B) ) & ( B = k1_xboole_0 => k8_setfam_1(A,B) = A ) ) ) ), file(setfam_1,d10_setfam_1), [interesting(0.9),axiom,file(setfam_1,d10_setfam_1)]). fof(e7_1_4__bvfunc24,plain,( k8_setfam_1(c1_1__bvfunc24,c3_1_4__bvfunc24) = k1_setfam_1(k2_relat_1(c2_1_4__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t5_subset,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_setfam_1,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_setfam_1,dt_k6_subset_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e6_1_4__bvfunc24,e3_1_4__bvfunc24,d10_setfam_1]), [interesting(0.65),file(bvfunc24,e7_1_4__bvfunc24),[file(bvfunc24,e7_1_4__bvfunc24)]]). fof(d1_setfam_1,definition,( ! [A,B] : ( ( A != k1_xboole_0 => ( B = k1_setfam_1(A) <=> ! [C] : ( r2_hidden(C,B) <=> ! [D] : ( r2_hidden(D,A) => r2_hidden(C,D) ) ) ) ) & ( A = k1_xboole_0 => ( B = k1_setfam_1(A) <=> B = k1_xboole_0 ) ) ) ), file(setfam_1,d1_setfam_1), [interesting(0.9),axiom,file(setfam_1,d1_setfam_1)]). fof(e9_1_4_1__bvfunc24,plain,( r2_hidden(c1_1_4_1__bvfunc24,c1_1_4__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,e1_1_4_1__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c1_1_4_1__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e8_1_4_1__bvfunc24,e3_1_4__bvfunc24,e6_1_4__bvfunc24,e7_1_4__bvfunc24,d1_setfam_1]), [interesting(0.5),file(bvfunc24,e9_1_4_1__bvfunc24),[file(bvfunc24,e9_1_4_1__bvfunc24)]]). fof(i3_1_4_1__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_4_1__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_4_1__bvfunc24)]). fof(i2_1_4_1__bvfunc24,plain,( r2_hidden(c1_1_4_1__bvfunc24,c1_1_4__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,e1_1_4_1__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[e9_1_4_1__bvfunc24,i3_1_4_1__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_4_1__bvfunc24),[file(bvfunc24,i2_1_4_1__bvfunc24)]]). fof(i1_1_4_1__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) & ~ r2_hidden(c1_1_4_1__bvfunc24,c1_1_4__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24]),discharge_asm(discharge,[e1_1_4_1__bvfunc24])],[e1_1_4_1__bvfunc24,i2_1_4_1__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_4_1__bvfunc24),[file(bvfunc24,i1_1_4_1__bvfunc24)]]). fof(i1_1_4_1_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4_1__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) & ~ r2_hidden(c1_1_4_1__bvfunc24,c1_1_4__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24]),discharge_asm(discharge,[dt_c1_1_4_1__bvfunc24])],[dt_c1_1_4_1__bvfunc24,i1_1_4_1__bvfunc24]), [interesting(0.65),e9_1_4__bvfunc24]). fof(e9_1_4__bvfunc24,plain,( r1_tarski(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24)),c1_1_4__bvfunc24) ), inference(let,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[i1_1_4_1_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,d3_tarski,dh_c1_1_4_1__bvfunc24]), [interesting(0.65),file(bvfunc24,e9_1_4__bvfunc24),[file(bvfunc24,e9_1_4__bvfunc24)]]). fof(dt_c1_1_4_2__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_4_2__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_4_2__bvfunc24)]). fof(dh_c1_1_4_2__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_4_2__bvfunc24,c1_1_4__bvfunc24) & ~ r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) => ! [A] : ~ ( r2_hidden(A,c1_1_4__bvfunc24) & ~ r2_hidden(A,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) ), introduced(definition,[new_symbol(c1_1_4_2__bvfunc24),file(bvfunc24,c1_1_4_2__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_4_2__bvfunc24)]). fof(e1_1_4_2__bvfunc24,assumption,( r2_hidden(c1_1_4_2__bvfunc24,c1_1_4__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_4_2__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_4_2__bvfunc24)]). fof(e2_1_4_2__bvfunc24,plain, ( r2_hidden(c1_1_4_2__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24)) & r2_hidden(c1_1_4_2__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)) & r2_hidden(c1_1_4_2__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)) & r2_hidden(c1_1_4_2__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)) & r2_hidden(c1_1_4_2__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)) & r2_hidden(c1_1_4_2__bvfunc24,k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c1_1_4_2__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e1_1_4_2__bvfunc24,e3_1_4__bvfunc24,e6_1_4__bvfunc24,e7_1_4__bvfunc24,d1_setfam_1]), [interesting(0.5),file(bvfunc24,e2_1_4_2__bvfunc24),[file(bvfunc24,e2_1_4_2__bvfunc24)]]). fof(e3_1_4_2__bvfunc24,plain,( r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_2__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e2_1_4_2__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e3_1_4_2__bvfunc24),[file(bvfunc24,e3_1_4_2__bvfunc24)]]). fof(e4_1_4_2__bvfunc24,plain,( r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_2__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e3_1_4_2__bvfunc24,e2_1_4_2__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e4_1_4_2__bvfunc24),[file(bvfunc24,e4_1_4_2__bvfunc24)]]). fof(e5_1_4_2__bvfunc24,plain,( r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_2__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e4_1_4_2__bvfunc24,e2_1_4_2__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e5_1_4_2__bvfunc24),[file(bvfunc24,e5_1_4_2__bvfunc24)]]). fof(e6_1_4_2__bvfunc24,plain,( r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_2__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e5_1_4_2__bvfunc24,e2_1_4_2__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e6_1_4_2__bvfunc24),[file(bvfunc24,e6_1_4_2__bvfunc24)]]). fof(e7_1_4_2__bvfunc24,plain,( r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4_2__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e6_1_4_2__bvfunc24,e2_1_4_2__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e7_1_4_2__bvfunc24),[file(bvfunc24,e7_1_4_2__bvfunc24)]]). fof(i3_1_4_2__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_4_2__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_4_2__bvfunc24)]). fof(i2_1_4_2__bvfunc24,plain,( r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[e7_1_4_2__bvfunc24,i3_1_4_2__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_4_2__bvfunc24),[file(bvfunc24,i2_1_4_2__bvfunc24)]]). fof(i1_1_4_2__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4_2__bvfunc24,c1_1_4__bvfunc24) & ~ r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_2__bvfunc24,e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24]),discharge_asm(discharge,[e1_1_4_2__bvfunc24])],[e1_1_4_2__bvfunc24,i2_1_4_2__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_4_2__bvfunc24),[file(bvfunc24,i1_1_4_2__bvfunc24)]]). fof(i1_1_4_2_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4_2__bvfunc24,c1_1_4__bvfunc24) & ~ r2_hidden(c1_1_4_2__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ) ), inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24]),discharge_asm(discharge,[dt_c1_1_4_2__bvfunc24])],[dt_c1_1_4_2__bvfunc24,i1_1_4_2__bvfunc24]), [interesting(0.65),e10_1_4__bvfunc24]). fof(e10_1_4__bvfunc24,plain,( r1_tarski(c1_1_4__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24))) ), inference(let,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[i1_1_4_2_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,d3_tarski,dh_c1_1_4_2__bvfunc24]), [interesting(0.65),file(bvfunc24,e10_1_4__bvfunc24),[file(bvfunc24,e10_1_4__bvfunc24)]]). fof(d10_xboole_0,definition,( ! [A,B] : ( A = B <=> ( r1_tarski(A,B) & r1_tarski(B,A) ) ) ), file(xboole_0,d10_xboole_0), [interesting(0.9),axiom,file(xboole_0,d10_xboole_0)]). fof(e18_1_4__bvfunc24,plain,( k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)) != k1_xboole_0 ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc24,e9_1_4__bvfunc24,e10_1_4__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e18_1_4__bvfunc24),[file(bvfunc24,e18_1_4__bvfunc24)]]). fof(e19_1_4__bvfunc24,plain,( ~ r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_xboole_0,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e18_1_4__bvfunc24,d1_tarski]), [interesting(0.65),file(bvfunc24,e19_1_4__bvfunc24),[file(bvfunc24,e19_1_4__bvfunc24)]]). fof(d4_xboole_0,definition,( ! [A,B,C] : ( C = k4_xboole_0(A,B) <=> ! [D] : ( r2_hidden(D,C) <=> ( r2_hidden(D,A) & ~ r2_hidden(D,B) ) ) ) ), file(xboole_0,d4_xboole_0), [interesting(0.9),axiom,file(xboole_0,d4_xboole_0)]). fof(e21_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k4_xboole_0(k3_setfam_1(c4_1__bvfunc24,c5_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e20_1_4__bvfunc24,e19_1_4__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e21_1_4__bvfunc24),[file(bvfunc24,e21_1_4__bvfunc24)]]). fof(d4_partit1,definition,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_eqrel_1(C,A) => k2_partit1(A,B,C) = k4_xboole_0(k3_setfam_1(B,C),k1_tarski(k1_xboole_0)) ) ) ) ), file(partit1,d4_partit1), [interesting(0.9),axiom,file(partit1,d4_partit1)]). fof(e22_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e21_1_4__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e22_1_4__bvfunc24),[file(bvfunc24,e22_1_4__bvfunc24)]]). fof(e23_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k3_setfam_1(k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e22_1_4__bvfunc24,e5_1_4__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e23_1_4__bvfunc24),[file(bvfunc24,e23_1_4__bvfunc24)]]). fof(e16_1_4__bvfunc24,plain,( k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)) != k1_xboole_0 ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc24,e9_1_4__bvfunc24,e10_1_4__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e16_1_4__bvfunc24),[file(bvfunc24,e16_1_4__bvfunc24)]]). fof(e17_1_4__bvfunc24,plain,( ~ r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_xboole_0,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e16_1_4__bvfunc24,d1_tarski]), [interesting(0.65),file(bvfunc24,e17_1_4__bvfunc24),[file(bvfunc24,e17_1_4__bvfunc24)]]). fof(e24_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e23_1_4__bvfunc24,e17_1_4__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e24_1_4__bvfunc24),[file(bvfunc24,e24_1_4__bvfunc24)]]). fof(e25_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e24_1_4__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e25_1_4__bvfunc24),[file(bvfunc24,e25_1_4__bvfunc24)]]). fof(e26_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e25_1_4__bvfunc24,e5_1_4__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e26_1_4__bvfunc24),[file(bvfunc24,e26_1_4__bvfunc24)]]). fof(e14_1_4__bvfunc24,plain,( k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)) != k1_xboole_0 ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc24,e9_1_4__bvfunc24,e10_1_4__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e14_1_4__bvfunc24),[file(bvfunc24,e14_1_4__bvfunc24)]]). fof(e15_1_4__bvfunc24,plain,( ~ r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_xboole_0,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e14_1_4__bvfunc24,d1_tarski]), [interesting(0.65),file(bvfunc24,e15_1_4__bvfunc24),[file(bvfunc24,e15_1_4__bvfunc24)]]). fof(e27_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e26_1_4__bvfunc24,e15_1_4__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e27_1_4__bvfunc24),[file(bvfunc24,e27_1_4__bvfunc24)]]). fof(e28_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e27_1_4__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e28_1_4__bvfunc24),[file(bvfunc24,e28_1_4__bvfunc24)]]). fof(e29_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e28_1_4__bvfunc24,e5_1_4__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e29_1_4__bvfunc24),[file(bvfunc24,e29_1_4__bvfunc24)]]). fof(e12_1_4__bvfunc24,plain,( k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)) != k1_xboole_0 ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc24,e9_1_4__bvfunc24,e10_1_4__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e12_1_4__bvfunc24),[file(bvfunc24,e12_1_4__bvfunc24)]]). fof(e13_1_4__bvfunc24,plain,( ~ r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_xboole_0,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e12_1_4__bvfunc24,d1_tarski]), [interesting(0.65),file(bvfunc24,e13_1_4__bvfunc24),[file(bvfunc24,e13_1_4__bvfunc24)]]). fof(e30_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e29_1_4__bvfunc24,e13_1_4__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e30_1_4__bvfunc24),[file(bvfunc24,e30_1_4__bvfunc24)]]). fof(e31_1_4__bvfunc24,plain,( r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e30_1_4__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e31_1_4__bvfunc24),[file(bvfunc24,e31_1_4__bvfunc24)]]). fof(e11_1_4__bvfunc24,plain,( k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc24,c4_1__bvfunc24),k1_funct_1(c2_1_4__bvfunc24,c5_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c6_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c7_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c8_1__bvfunc24)),k1_funct_1(c2_1_4__bvfunc24,c9_1__bvfunc24)) = c1_1_4__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t2_boole,t4_subset,t5_subset,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_1_4__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t3_subset,e10_1_4__bvfunc24,e9_1_4__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e11_1_4__bvfunc24),[file(bvfunc24,e11_1_4__bvfunc24)]]). fof(e32_1_4__bvfunc24,plain,( r2_hidden(c1_1_4__bvfunc24,k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t1_subset,t7_boole,e31_1_4__bvfunc24,e5_1_4__bvfunc24,e11_1_4__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e32_1_4__bvfunc24),[file(bvfunc24,e32_1_4__bvfunc24)]]). fof(e8_1_4__bvfunc24,plain,( ~ r2_hidden(c1_1_4__bvfunc24,k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_4__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_4__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t6_boole,t7_boole,e3_1_4__bvfunc24,d1_tarski]), [interesting(0.65),file(bvfunc24,e8_1_4__bvfunc24),[file(bvfunc24,e8_1_4__bvfunc24)]]). fof(e33_1_4__bvfunc24,plain,( r2_hidden(c1_1_4__bvfunc24,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e32_1_4__bvfunc24,e8_1_4__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e33_1_4__bvfunc24),[file(bvfunc24,e33_1_4__bvfunc24)]]). fof(e34_1_4__bvfunc24,plain,( r2_hidden(c1_1_4__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e33_1_4__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e34_1_4__bvfunc24),[file(bvfunc24,e34_1_4__bvfunc24)]]). fof(i3_1_4__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_4__bvfunc24)]), [interesting(0.65),trivial,file(bvfunc24,i3_1_4__bvfunc24)]). fof(i2_1_4__bvfunc24,plain,( r2_hidden(c1_1_4__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ), inference(conclusion,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1_4__bvfunc24])],[e34_1_4__bvfunc24,i3_1_4__bvfunc24]), [interesting(0.65),file(bvfunc24,i2_1_4__bvfunc24),[file(bvfunc24,i2_1_4__bvfunc24)]]). fof(i1_1_4__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) & ~ r2_hidden(c1_1_4__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ) ), inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_4__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24]),discharge_asm(discharge,[e1_1_4__bvfunc24])],[e1_1_4__bvfunc24,i2_1_4__bvfunc24]), [interesting(0.65),file(bvfunc24,i1_1_4__bvfunc24),[file(bvfunc24,i1_1_4__bvfunc24)]]). fof(i1_1_4_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_4__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) & ~ r2_hidden(c1_1_4__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ) ), inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24]),discharge_asm(discharge,[dt_c1_1_4__bvfunc24])],[dt_c1_1_4__bvfunc24,i1_1_4__bvfunc24]), [interesting(0.8),e14_1__bvfunc24]). fof(e14_1__bvfunc24,plain,( r1_tarski(k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))),k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ), inference(let,[status(thm),assumptions([e1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24])],[i1_1_4_tmp__bvfunc24,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_partit1,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_bvfunc_2,dt_k2_partit1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,d3_tarski,dh_c1_1_4__bvfunc24]), [interesting(0.8),file(bvfunc24,e14_1__bvfunc24),[file(bvfunc24,e14_1__bvfunc24)]]). fof(d7_bvfunc_2,definition,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_eqrel_1(B,A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) => k5_bvfunc_2(A,B,C) = k2_bvfunc_2(A,k6_subset_1(k1_bvfunc_2(A),C,k4_bvfunc_2(A,B))) ) ) ) ), file(bvfunc_2,d7_bvfunc_2), [interesting(0.9),axiom,file(bvfunc_2,d7_bvfunc_2)]). fof(e2_1__bvfunc24,plain,( k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_xboole_0,dt_k4_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_k2_bvfunc_2,dt_k4_bvfunc_2,dt_k5_bvfunc_2,dt_k6_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,d7_bvfunc_2]), [interesting(0.8),file(bvfunc24,e2_1__bvfunc24),[file(bvfunc24,e2_1__bvfunc24)]]). fof(dt_c1_1_3__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c1_1_3__bvfunc24)]). fof(dh_c1_1_3__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) & ~ r2_hidden(c1_1_3__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ) => ! [A] : ~ ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) & ~ r2_hidden(A,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ) ), introduced(definition,[new_symbol(c1_1_3__bvfunc24),file(bvfunc24,c1_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c1_1_3__bvfunc24)]). fof(e1_1_3__bvfunc24,assumption,( r2_hidden(c1_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) ), introduced(assumption,[file(bvfunc24,e1_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,e1_1_3__bvfunc24)]). fof(idempotence_k1_funct_4,theorem,( ! [A,B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => k1_funct_4(A,A) = A ) ), file(funct_4,k1_funct_4), [interesting(0.9),axiom,file(funct_4,k1_funct_4)]). fof(dt_k1_funct_4,axiom,( ! [A,B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)) ) ) ), file(funct_4,k1_funct_4), [interesting(0.9),axiom,file(funct_4,k1_funct_4)]). fof(dt_k3_cqc_lang,axiom,( $true ), file(cqc_lang,k3_cqc_lang), [interesting(0.9),axiom,file(cqc_lang,k3_cqc_lang)]). fof(dh_c10_1_3__bvfunc24,definition, ( ? [A,B] : ( r2_hidden(A,c4_1__bvfunc24) & r2_hidden(B,c5_1__bvfunc24) & c8_1_3__bvfunc24 = k3_xboole_0(A,B) ) => ? [C] : ( r2_hidden(c10_1_3__bvfunc24,c4_1__bvfunc24) & r2_hidden(C,c5_1__bvfunc24) & c8_1_3__bvfunc24 = k3_xboole_0(c10_1_3__bvfunc24,C) ) ), introduced(definition,[new_symbol(c10_1_3__bvfunc24),file(bvfunc24,c10_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c10_1_3__bvfunc24)]). fof(dh_c8_1_3__bvfunc24,definition, ( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) & r2_hidden(B,c6_1__bvfunc24) & c6_1_3__bvfunc24 = k3_xboole_0(A,B) ) => ? [C] : ( r2_hidden(c8_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) & r2_hidden(C,c6_1__bvfunc24) & c6_1_3__bvfunc24 = k3_xboole_0(c8_1_3__bvfunc24,C) ) ), introduced(definition,[new_symbol(c8_1_3__bvfunc24),file(bvfunc24,c8_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c8_1_3__bvfunc24)]). fof(dh_c6_1_3__bvfunc24,definition, ( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & r2_hidden(B,c7_1__bvfunc24) & c4_1_3__bvfunc24 = k3_xboole_0(A,B) ) => ? [C] : ( r2_hidden(c6_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & r2_hidden(C,c7_1__bvfunc24) & c4_1_3__bvfunc24 = k3_xboole_0(c6_1_3__bvfunc24,C) ) ), introduced(definition,[new_symbol(c6_1_3__bvfunc24),file(bvfunc24,c6_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c6_1_3__bvfunc24)]). fof(dh_c4_1_3__bvfunc24,definition, ( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & r2_hidden(B,c8_1__bvfunc24) & c2_1_3__bvfunc24 = k3_xboole_0(A,B) ) => ? [C] : ( r2_hidden(c4_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & r2_hidden(C,c8_1__bvfunc24) & c2_1_3__bvfunc24 = k3_xboole_0(c4_1_3__bvfunc24,C) ) ), introduced(definition,[new_symbol(c4_1_3__bvfunc24),file(bvfunc24,c4_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c4_1_3__bvfunc24)]). fof(dh_c2_1_3__bvfunc24,definition, ( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & r2_hidden(B,c9_1__bvfunc24) & c1_1_3__bvfunc24 = k3_xboole_0(A,B) ) => ? [C] : ( r2_hidden(c2_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & r2_hidden(C,c9_1__bvfunc24) & c1_1_3__bvfunc24 = k3_xboole_0(c2_1_3__bvfunc24,C) ) ), introduced(definition,[new_symbol(c2_1_3__bvfunc24),file(bvfunc24,c2_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c2_1_3__bvfunc24)]). fof(e2_1_3__bvfunc24,plain,( r2_hidden(c1_1_3__bvfunc24,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e1_1_3__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e2_1_3__bvfunc24),[file(bvfunc24,e2_1_3__bvfunc24)]]). fof(e3_1_3__bvfunc24,plain, ( r2_hidden(c1_1_3__bvfunc24,k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) & ~ r2_hidden(c1_1_3__bvfunc24,k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e2_1_3__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e3_1_3__bvfunc24),[file(bvfunc24,e3_1_3__bvfunc24)]]). fof(e4_1_3__bvfunc24,plain,( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & r2_hidden(B,c9_1__bvfunc24) & c1_1_3__bvfunc24 = k3_xboole_0(A,B) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e3_1_3__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e4_1_3__bvfunc24),[file(bvfunc24,e4_1_3__bvfunc24)]]). fof(dt_c2_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c2_1_3__bvfunc24,e4_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c2_1_3__bvfunc24),[file(bvfunc24,c2_1_3__bvfunc24)]]). fof(dh_c3_1_3__bvfunc24,definition, ( ? [A] : ( r2_hidden(c2_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & r2_hidden(A,c9_1__bvfunc24) & c1_1_3__bvfunc24 = k3_xboole_0(c2_1_3__bvfunc24,A) ) => ( r2_hidden(c2_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & r2_hidden(c3_1_3__bvfunc24,c9_1__bvfunc24) & c1_1_3__bvfunc24 = k3_xboole_0(c2_1_3__bvfunc24,c3_1_3__bvfunc24) ) ), introduced(definition,[new_symbol(c3_1_3__bvfunc24),file(bvfunc24,c3_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c3_1_3__bvfunc24)]). fof(dt_c3_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c2_1_3__bvfunc24,dh_c3_1_3__bvfunc24,e4_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c3_1_3__bvfunc24),[file(bvfunc24,c3_1_3__bvfunc24)]]). fof(e5_1_3__bvfunc24,plain, ( r2_hidden(c2_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & r2_hidden(c3_1_3__bvfunc24,c9_1__bvfunc24) & c1_1_3__bvfunc24 = k3_xboole_0(c2_1_3__bvfunc24,c3_1_3__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c2_1_3__bvfunc24,dh_c3_1_3__bvfunc24,e4_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e5_1_3__bvfunc24),[file(bvfunc24,e5_1_3__bvfunc24)]]). fof(e6_1_3__bvfunc24,plain,( r2_hidden(c2_1_3__bvfunc24,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e5_1_3__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e6_1_3__bvfunc24),[file(bvfunc24,e6_1_3__bvfunc24)]]). fof(e7_1_3__bvfunc24,plain, ( r2_hidden(c2_1_3__bvfunc24,k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24)) & ~ r2_hidden(c2_1_3__bvfunc24,k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e6_1_3__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e7_1_3__bvfunc24),[file(bvfunc24,e7_1_3__bvfunc24)]]). fof(e8_1_3__bvfunc24,plain,( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & r2_hidden(B,c8_1__bvfunc24) & c2_1_3__bvfunc24 = k3_xboole_0(A,B) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c2_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e7_1_3__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e8_1_3__bvfunc24),[file(bvfunc24,e8_1_3__bvfunc24)]]). fof(dt_c4_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c4_1_3__bvfunc24,e8_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c4_1_3__bvfunc24),[file(bvfunc24,c4_1_3__bvfunc24)]]). fof(dh_c5_1_3__bvfunc24,definition, ( ? [A] : ( r2_hidden(c4_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & r2_hidden(A,c8_1__bvfunc24) & c2_1_3__bvfunc24 = k3_xboole_0(c4_1_3__bvfunc24,A) ) => ( r2_hidden(c4_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & r2_hidden(c5_1_3__bvfunc24,c8_1__bvfunc24) & c2_1_3__bvfunc24 = k3_xboole_0(c4_1_3__bvfunc24,c5_1_3__bvfunc24) ) ), introduced(definition,[new_symbol(c5_1_3__bvfunc24),file(bvfunc24,c5_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c5_1_3__bvfunc24)]). fof(dt_c5_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c4_1_3__bvfunc24,dh_c5_1_3__bvfunc24,e8_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c5_1_3__bvfunc24),[file(bvfunc24,c5_1_3__bvfunc24)]]). fof(e9_1_3__bvfunc24,plain, ( r2_hidden(c4_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & r2_hidden(c5_1_3__bvfunc24,c8_1__bvfunc24) & c2_1_3__bvfunc24 = k3_xboole_0(c4_1_3__bvfunc24,c5_1_3__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c4_1_3__bvfunc24,dh_c5_1_3__bvfunc24,e8_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e9_1_3__bvfunc24),[file(bvfunc24,e9_1_3__bvfunc24)]]). fof(e10_1_3__bvfunc24,plain,( r2_hidden(c4_1_3__bvfunc24,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c2_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e9_1_3__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e10_1_3__bvfunc24),[file(bvfunc24,e10_1_3__bvfunc24)]]). fof(e11_1_3__bvfunc24,plain, ( r2_hidden(c4_1_3__bvfunc24,k3_setfam_1(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24)) & ~ r2_hidden(c4_1_3__bvfunc24,k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e10_1_3__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e11_1_3__bvfunc24),[file(bvfunc24,e11_1_3__bvfunc24)]]). fof(e12_1_3__bvfunc24,plain,( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & r2_hidden(B,c7_1__bvfunc24) & c4_1_3__bvfunc24 = k3_xboole_0(A,B) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e11_1_3__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e12_1_3__bvfunc24),[file(bvfunc24,e12_1_3__bvfunc24)]]). fof(dt_c6_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c6_1_3__bvfunc24,e12_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c6_1_3__bvfunc24),[file(bvfunc24,c6_1_3__bvfunc24)]]). fof(dh_c7_1_3__bvfunc24,definition, ( ? [A] : ( r2_hidden(c6_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & r2_hidden(A,c7_1__bvfunc24) & c4_1_3__bvfunc24 = k3_xboole_0(c6_1_3__bvfunc24,A) ) => ( r2_hidden(c6_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & r2_hidden(c7_1_3__bvfunc24,c7_1__bvfunc24) & c4_1_3__bvfunc24 = k3_xboole_0(c6_1_3__bvfunc24,c7_1_3__bvfunc24) ) ), introduced(definition,[new_symbol(c7_1_3__bvfunc24),file(bvfunc24,c7_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c7_1_3__bvfunc24)]). fof(dt_c7_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c6_1_3__bvfunc24,dh_c7_1_3__bvfunc24,e12_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c7_1_3__bvfunc24),[file(bvfunc24,c7_1_3__bvfunc24)]]). fof(e13_1_3__bvfunc24,plain, ( r2_hidden(c6_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & r2_hidden(c7_1_3__bvfunc24,c7_1__bvfunc24) & c4_1_3__bvfunc24 = k3_xboole_0(c6_1_3__bvfunc24,c7_1_3__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c6_1_3__bvfunc24,dh_c7_1_3__bvfunc24,e12_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e13_1_3__bvfunc24),[file(bvfunc24,e13_1_3__bvfunc24)]]). fof(e14_1_3__bvfunc24,plain,( r2_hidden(c6_1_3__bvfunc24,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e13_1_3__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e14_1_3__bvfunc24),[file(bvfunc24,e14_1_3__bvfunc24)]]). fof(e15_1_3__bvfunc24,plain, ( r2_hidden(c6_1_3__bvfunc24,k3_setfam_1(k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24)) & ~ r2_hidden(c6_1_3__bvfunc24,k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e14_1_3__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e15_1_3__bvfunc24),[file(bvfunc24,e15_1_3__bvfunc24)]]). fof(e16_1_3__bvfunc24,plain,( ? [A,B] : ( r2_hidden(A,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) & r2_hidden(B,c6_1__bvfunc24) & c6_1_3__bvfunc24 = k3_xboole_0(A,B) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e15_1_3__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e16_1_3__bvfunc24),[file(bvfunc24,e16_1_3__bvfunc24)]]). fof(dt_c8_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c8_1_3__bvfunc24,e16_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c8_1_3__bvfunc24),[file(bvfunc24,c8_1_3__bvfunc24)]]). fof(dh_c9_1_3__bvfunc24,definition, ( ? [A] : ( r2_hidden(c8_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) & r2_hidden(A,c6_1__bvfunc24) & c6_1_3__bvfunc24 = k3_xboole_0(c8_1_3__bvfunc24,A) ) => ( r2_hidden(c8_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) & r2_hidden(c9_1_3__bvfunc24,c6_1__bvfunc24) & c6_1_3__bvfunc24 = k3_xboole_0(c8_1_3__bvfunc24,c9_1_3__bvfunc24) ) ), introduced(definition,[new_symbol(c9_1_3__bvfunc24),file(bvfunc24,c9_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c9_1_3__bvfunc24)]). fof(dt_c9_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c8_1_3__bvfunc24,dh_c9_1_3__bvfunc24,e16_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c9_1_3__bvfunc24),[file(bvfunc24,c9_1_3__bvfunc24)]]). fof(e17_1_3__bvfunc24,plain, ( r2_hidden(c8_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24)) & r2_hidden(c9_1_3__bvfunc24,c6_1__bvfunc24) & c6_1_3__bvfunc24 = k3_xboole_0(c8_1_3__bvfunc24,c9_1_3__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c8_1_3__bvfunc24,dh_c9_1_3__bvfunc24,e16_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e17_1_3__bvfunc24),[file(bvfunc24,e17_1_3__bvfunc24)]]). fof(e18_1_3__bvfunc24,plain,( r2_hidden(c8_1_3__bvfunc24,k4_xboole_0(k3_setfam_1(c4_1__bvfunc24,c5_1__bvfunc24),k1_tarski(k1_xboole_0))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1_3__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e17_1_3__bvfunc24,d4_partit1]), [interesting(0.65),file(bvfunc24,e18_1_3__bvfunc24),[file(bvfunc24,e18_1_3__bvfunc24)]]). fof(e19_1_3__bvfunc24,plain, ( r2_hidden(c8_1_3__bvfunc24,k3_setfam_1(c4_1__bvfunc24,c5_1__bvfunc24)) & ~ r2_hidden(c8_1_3__bvfunc24,k1_tarski(k1_xboole_0)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k3_setfam_1,dt_k4_xboole_0,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c8_1_3__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e18_1_3__bvfunc24,d4_xboole_0]), [interesting(0.65),file(bvfunc24,e19_1_3__bvfunc24),[file(bvfunc24,e19_1_3__bvfunc24)]]). fof(e20_1_3__bvfunc24,plain,( ? [A,B] : ( r2_hidden(A,c4_1__bvfunc24) & r2_hidden(B,c5_1__bvfunc24) & c8_1_3__bvfunc24 = k3_xboole_0(A,B) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k3_setfam_1,dt_k3_xboole_0,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c8_1_3__bvfunc24,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e19_1_3__bvfunc24,d5_setfam_1]), [interesting(0.65),file(bvfunc24,e20_1_3__bvfunc24),[file(bvfunc24,e20_1_3__bvfunc24)]]). fof(dt_c10_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c10_1_3__bvfunc24,e20_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c10_1_3__bvfunc24),[file(bvfunc24,c10_1_3__bvfunc24)]]). fof(dh_c11_1_3__bvfunc24,definition, ( ? [A] : ( r2_hidden(c10_1_3__bvfunc24,c4_1__bvfunc24) & r2_hidden(A,c5_1__bvfunc24) & c8_1_3__bvfunc24 = k3_xboole_0(c10_1_3__bvfunc24,A) ) => ( r2_hidden(c10_1_3__bvfunc24,c4_1__bvfunc24) & r2_hidden(c11_1_3__bvfunc24,c5_1__bvfunc24) & c8_1_3__bvfunc24 = k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24) ) ), introduced(definition,[new_symbol(c11_1_3__bvfunc24),file(bvfunc24,c11_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c11_1_3__bvfunc24)]). fof(dt_c11_1_3__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c10_1_3__bvfunc24,dh_c11_1_3__bvfunc24,e20_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c11_1_3__bvfunc24),[file(bvfunc24,c11_1_3__bvfunc24)]]). fof(fc1_cqc_lang,theorem,( ! [A,B] : ( v1_relat_1(k3_cqc_lang(A,B)) & v1_funct_1(k3_cqc_lang(A,B)) ) ), file(cqc_lang,fc1_cqc_lang), [interesting(0.9),axiom,file(cqc_lang,fc1_cqc_lang)]). fof(de_c13_1_3__bvfunc24,definition,( c13_1_3__bvfunc24 = k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) ), introduced(definition,[new_symbol(c13_1_3__bvfunc24),file(bvfunc24,c13_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c13_1_3__bvfunc24)]). fof(dt_c1_1_3_6__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_6__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_6__bvfunc24)]). fof(dh_c1_1_3_6__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_3_6__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(c1_1_3_6__bvfunc24,k1_zfmisc_1(c1_1__bvfunc24)) ) => ! [A] : ~ ( r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(A,k1_zfmisc_1(c1_1__bvfunc24)) ) ), introduced(definition,[new_symbol(c1_1_3_6__bvfunc24),file(bvfunc24,c1_1_3_6__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_6__bvfunc24)]). fof(e1_1_3_6__bvfunc24,assumption,( r2_hidden(c1_1_3_6__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), introduced(assumption,[file(bvfunc24,e1_1_3_6__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_3_6__bvfunc24)]). fof(dt_c1_1_3_4__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_4__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_4__bvfunc24)]). fof(dh_c1_1_3_4__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_3_4__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(c1_1_3_4__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ) => ! [A] : ~ ( r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(A,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ) ), introduced(definition,[new_symbol(c1_1_3_4__bvfunc24),file(bvfunc24,c1_1_3_4__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_4__bvfunc24)]). fof(e1_1_3_4__bvfunc24,assumption,( r2_hidden(c1_1_3_4__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), introduced(assumption,[file(bvfunc24,e1_1_3_4__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_3_4__bvfunc24)]). fof(dh_c2_1_3_4__bvfunc24,definition, ( ? [A] : ( r2_hidden(A,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & c1_1_3_4__bvfunc24 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),A) ) => ( r2_hidden(c2_1_3_4__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & c1_1_3_4__bvfunc24 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c2_1_3_4__bvfunc24) ) ), introduced(definition,[new_symbol(c2_1_3_4__bvfunc24),file(bvfunc24,c2_1_3_4__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c2_1_3_4__bvfunc24)]). fof(e2_1_3_4__bvfunc24,plain,( ? [A] : ( r2_hidden(A,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & c1_1_3_4__bvfunc24 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),A) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_4__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4__bvfunc24,d5_funct_1]), [interesting(0.5),file(bvfunc24,e2_1_3_4__bvfunc24),[file(bvfunc24,e2_1_3_4__bvfunc24)]]). fof(dt_c2_1_3_4__bvfunc24,plain,( $true ), inference(consider,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_4__bvfunc24])],[dh_c2_1_3_4__bvfunc24,e2_1_3_4__bvfunc24]), [interesting(0.5),file(bvfunc24,c2_1_3_4__bvfunc24),[file(bvfunc24,c2_1_3_4__bvfunc24)]]). fof(t8_bvfunc23,theorem,( ! [A,B,C,D,E,F,G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H,I,J,K,L,M] : ( G = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,I),k3_cqc_lang(C,J)),k3_cqc_lang(D,K)),k3_cqc_lang(E,L)),k3_cqc_lang(F,M)),k3_cqc_lang(A,H)) => k1_relat_1(G) = k4_enumset1(A,B,C,D,E,F) ) ) ), file(bvfunc23,t8_bvfunc23), [interesting(0.9),axiom,file(bvfunc23,t8_bvfunc23)]). fof(e1_1_3_2__bvfunc24,plain,( k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) = k4_enumset1(c9_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t8_bvfunc23]), [interesting(0.5),file(bvfunc24,e1_1_3_2__bvfunc24),[file(bvfunc24,e1_1_3_2__bvfunc24)]]). fof(e2_1_3_2__bvfunc24,plain,( k4_enumset1(c9_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c9_1__bvfunc24),k3_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t51_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_2__bvfunc24),[file(bvfunc24,e2_1_3_2__bvfunc24)]]). fof(t55_enumset1,theorem,( ! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)) ), file(enumset1,t55_enumset1), [interesting(0.9),axiom,file(enumset1,t55_enumset1)]). fof(e3_1_3_2__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c9_1__bvfunc24),k3_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24)) = k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t55_enumset1]), [interesting(0.5),file(bvfunc24,e3_1_3_2__bvfunc24),[file(bvfunc24,e3_1_3_2__bvfunc24)]]). fof(e23_1_3__bvfunc24,plain,( k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) = k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) ), inference(iterative_eq,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[e1_1_3_2__bvfunc24,e2_1_3_2__bvfunc24,e3_1_3_2__bvfunc24]), [interesting(0.65),file(bvfunc24,e23_1_3__bvfunc24),[file(bvfunc24,e23_1_3__bvfunc24)]]). fof(e3_1_3_4__bvfunc24,plain, ( r2_hidden(c2_1_3_4__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & c1_1_3_4__bvfunc24 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c2_1_3_4__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_4__bvfunc24])],[dh_c2_1_3_4__bvfunc24,e2_1_3_4__bvfunc24]), [interesting(0.5),file(bvfunc24,e3_1_3_4__bvfunc24),[file(bvfunc24,e3_1_3_4__bvfunc24)]]). fof(e4_1_3_4__bvfunc24,plain,( ~ ( c2_1_3_4__bvfunc24 != c4_1__bvfunc24 & c2_1_3_4__bvfunc24 != c5_1__bvfunc24 & c2_1_3_4__bvfunc24 != c6_1__bvfunc24 & c2_1_3_4__bvfunc24 != c7_1__bvfunc24 & c2_1_3_4__bvfunc24 != c8_1__bvfunc24 & c2_1_3_4__bvfunc24 != c9_1__bvfunc24 ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_4__bvfunc24,dt_c2_1_3_4__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,e3_1_3_4__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e4_1_3_4__bvfunc24),[file(bvfunc24,e4_1_3_4__bvfunc24)]]). fof(e5_1_3_4__bvfunc24,plain,( r2_hidden(c1_1_3_4__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_4__bvfunc24,dt_c2_1_3_4__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e4_1_3_4__bvfunc24,e3_1_3_4__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e5_1_3_4__bvfunc24),[file(bvfunc24,e5_1_3_4__bvfunc24)]]). fof(i3_1_3_4__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_4__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_3_4__bvfunc24)]). fof(i2_1_3_4__bvfunc24,plain,( r2_hidden(c1_1_3_4__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_4__bvfunc24])],[e5_1_3_4__bvfunc24,i3_1_3_4__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_3_4__bvfunc24),[file(bvfunc24,i2_1_3_4__bvfunc24)]]). fof(i1_1_3_4__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_4__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(c1_1_3_4__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[e1_1_3_4__bvfunc24])],[e1_1_3_4__bvfunc24,i2_1_3_4__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_3_4__bvfunc24),[file(bvfunc24,i1_1_3_4__bvfunc24)]]). fof(i1_1_3_4_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_4__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(c1_1_3_4__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_4__bvfunc24])],[dt_c1_1_3_4__bvfunc24,i1_1_3_4__bvfunc24]), [interesting(0.65),e43_1_3__bvfunc24]). fof(e43_1_3__bvfunc24,plain,( r1_tarski(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))),k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ), inference(let,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[i1_1_3_4_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,d3_tarski,dh_c1_1_3_4__bvfunc24]), [interesting(0.65),file(bvfunc24,e43_1_3__bvfunc24),[file(bvfunc24,e43_1_3__bvfunc24)]]). fof(e2_1_3_6__bvfunc24,plain,( ~ ( c1_1_3_6__bvfunc24 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24) & c1_1_3_6__bvfunc24 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24) & c1_1_3_6__bvfunc24 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24) & c1_1_3_6__bvfunc24 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24) & c1_1_3_6__bvfunc24 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24) & c1_1_3_6__bvfunc24 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24) ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc24,e1_1_3_6__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_6__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t3_subset,t7_boole,e1_1_3_6__bvfunc24,e43_1_3__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_6__bvfunc24),[file(bvfunc24,e2_1_3_6__bvfunc24)]]). fof(e21_1_3__bvfunc24,plain, ( r2_hidden(c10_1_3__bvfunc24,c4_1__bvfunc24) & r2_hidden(c11_1_3__bvfunc24,c5_1__bvfunc24) & c8_1_3__bvfunc24 = k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24) ), inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[dh_c10_1_3__bvfunc24,dh_c11_1_3__bvfunc24,e20_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e21_1_3__bvfunc24),[file(bvfunc24,e21_1_3__bvfunc24)]]). fof(t7_bvfunc23,theorem,( ! [A,B,C,D,E,F,G] : ( ( v1_relat_1(G) & v1_funct_1(G) ) => ! [H,I,J,K,L,M] : ( G = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,I),k3_cqc_lang(C,J)),k3_cqc_lang(D,K)),k3_cqc_lang(E,L)),k3_cqc_lang(F,M)),k3_cqc_lang(A,H)) => ( A = B | A = C | A = D | A = E | A = F | B = C | B = D | B = E | B = F | C = D | C = E | C = F | D = E | D = F | E = F | ( k1_funct_1(G,A) = H & k1_funct_1(G,B) = I & k1_funct_1(G,C) = J & k1_funct_1(G,D) = K & k1_funct_1(G,E) = L & k1_funct_1(G,F) = M ) ) ) ) ), file(bvfunc23,t7_bvfunc23), [interesting(0.9),axiom,file(bvfunc23,t7_bvfunc23)]). fof(e24_1_3__bvfunc24,plain,( k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24) = c9_1_3__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,e1_1__bvfunc24,t7_bvfunc23]), [interesting(0.65),file(bvfunc24,e24_1_3__bvfunc24),[file(bvfunc24,e24_1_3__bvfunc24)]]). fof(e25_1_3__bvfunc24,plain,( k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24) = c10_1_3__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,e1_1__bvfunc24,t7_bvfunc23]), [interesting(0.65),file(bvfunc24,e25_1_3__bvfunc24),[file(bvfunc24,e25_1_3__bvfunc24)]]). fof(e26_1_3__bvfunc24,plain,( k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24) = c11_1_3__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,e1_1__bvfunc24,t7_bvfunc23]), [interesting(0.65),file(bvfunc24,e26_1_3__bvfunc24),[file(bvfunc24,e26_1_3__bvfunc24)]]). fof(e27_1_3__bvfunc24,plain,( k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24) = c7_1_3__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,e1_1__bvfunc24,t7_bvfunc23]), [interesting(0.65),file(bvfunc24,e27_1_3__bvfunc24),[file(bvfunc24,e27_1_3__bvfunc24)]]). fof(e28_1_3__bvfunc24,plain,( k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24) = c5_1_3__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,e1_1__bvfunc24,t7_bvfunc23]), [interesting(0.65),file(bvfunc24,e28_1_3__bvfunc24),[file(bvfunc24,e28_1_3__bvfunc24)]]). fof(e29_1_3__bvfunc24,plain,( k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24) = c3_1_3__bvfunc24 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,e1_1__bvfunc24,t7_bvfunc23]), [interesting(0.65),file(bvfunc24,e29_1_3__bvfunc24),[file(bvfunc24,e29_1_3__bvfunc24)]]). fof(e3_1_3_6__bvfunc24,plain,( r2_hidden(c1_1_3_6__bvfunc24,k1_zfmisc_1(c1_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc24,e1_1_3_6__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_6__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e2_1_3_6__bvfunc24,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e24_1_3__bvfunc24,e25_1_3__bvfunc24,e26_1_3__bvfunc24,e27_1_3__bvfunc24,e28_1_3__bvfunc24,e29_1_3__bvfunc24]), [interesting(0.5),file(bvfunc24,e3_1_3_6__bvfunc24),[file(bvfunc24,e3_1_3_6__bvfunc24)]]). fof(i3_1_3_6__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_6__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_3_6__bvfunc24)]). fof(i2_1_3_6__bvfunc24,plain,( r2_hidden(c1_1_3_6__bvfunc24,k1_zfmisc_1(c1_1__bvfunc24)) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc24,e1_1_3_6__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[e3_1_3_6__bvfunc24,i3_1_3_6__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_3_6__bvfunc24),[file(bvfunc24,i2_1_3_6__bvfunc24)]]). fof(i1_1_3_6__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_6__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(c1_1_3_6__bvfunc24,k1_zfmisc_1(c1_1__bvfunc24)) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_6__bvfunc24])],[e1_1_3_6__bvfunc24,i2_1_3_6__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_3_6__bvfunc24),[file(bvfunc24,i1_1_3_6__bvfunc24)]]). fof(i1_1_3_6_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_6__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) & ~ r2_hidden(c1_1_3_6__bvfunc24,k1_zfmisc_1(c1_1__bvfunc24)) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_6__bvfunc24])],[dt_c1_1_3_6__bvfunc24,i1_1_3_6__bvfunc24]), [interesting(0.65),e46_1_3__bvfunc24]). fof(e46_1_3__bvfunc24,plain,( r1_tarski(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))),k1_zfmisc_1(c1_1__bvfunc24)) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[i1_1_3_6_tmp__bvfunc24,dt_m1_subset_1,rc1_subset_1,rc2_subset_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,d3_tarski,dh_c1_1_3_6__bvfunc24]), [interesting(0.65),file(bvfunc24,e46_1_3__bvfunc24),[file(bvfunc24,e46_1_3__bvfunc24)]]). fof(e47_1_3__bvfunc24,plain,( m1_subset_1(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))),k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,idempotence_k1_funct_4,reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,t3_subset,e46_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e47_1_3__bvfunc24),[file(bvfunc24,e47_1_3__bvfunc24)]]). fof(dt_c13_1_3__bvfunc24,plain,( m1_subset_1(c13_1_3__bvfunc24,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,idempotence_k1_funct_4,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,t3_subset,de_c13_1_3__bvfunc24,e47_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c13_1_3__bvfunc24),[file(bvfunc24,c13_1_3__bvfunc24)]]). fof(dt_k3_tarski,axiom,( $true ), file(tarski,k3_tarski), [interesting(0.9),axiom,file(tarski,k3_tarski)]). fof(symmetry_r1_xboole_0,theorem,( ! [A,B] : ( r1_xboole_0(A,B) => r1_xboole_0(B,A) ) ), file(xboole_0,r1_xboole_0), [interesting(0.9),axiom,file(xboole_0,r1_xboole_0)]). fof(redefinition_k5_setfam_1,definition,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => k5_setfam_1(A,B) = k3_tarski(B) ) ), file(setfam_1,k5_setfam_1), [interesting(0.9),axiom,file(setfam_1,k5_setfam_1)]). fof(dt_k5_setfam_1,axiom,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) ), file(setfam_1,k5_setfam_1), [interesting(0.9),axiom,file(setfam_1,k5_setfam_1)]). fof(d6_eqrel_1,definition,( ! [A,B] : ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) => ( ( A != k1_xboole_0 => ( m1_eqrel_1(B,A) <=> ( k5_setfam_1(A,B) = A & ! [C] : ( m1_subset_1(C,k1_zfmisc_1(A)) => ( r2_hidden(C,B) => ( C != k1_xboole_0 & ! [D] : ( m1_subset_1(D,k1_zfmisc_1(A)) => ~ ( r2_hidden(D,B) & C != D & ~ r1_xboole_0(C,D) ) ) ) ) ) ) ) ) & ( A = k1_xboole_0 => ( m1_eqrel_1(B,A) <=> B = k1_xboole_0 ) ) ) ) ), file(eqrel_1,d6_eqrel_1), [interesting(0.9),axiom,file(eqrel_1,d6_eqrel_1)]). fof(e53_1_3__bvfunc24,plain,( c1_1_3__bvfunc24 != k1_xboole_0 ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k3_tarski,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,commutativity_k2_partit1,symmetry_r1_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k5_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_partit1,dt_k5_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e1_1_3__bvfunc24,d6_eqrel_1]), [interesting(0.65),file(bvfunc24,e53_1_3__bvfunc24),[file(bvfunc24,e53_1_3__bvfunc24)]]). fof(e1_1_3_1__bvfunc24,plain,( k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) = k4_enumset1(c9_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t8_bvfunc23]), [interesting(0.5),file(bvfunc24,e1_1_3_1__bvfunc24),[file(bvfunc24,e1_1_3_1__bvfunc24)]]). fof(e2_1_3_1__bvfunc24,plain,( k4_enumset1(c9_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c9_1__bvfunc24),k3_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t51_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_1__bvfunc24),[file(bvfunc24,e2_1_3_1__bvfunc24)]]). fof(e3_1_3_1__bvfunc24,plain,( k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc24,c9_1__bvfunc24),k3_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24)) = k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc2_subset_1,t55_enumset1]), [interesting(0.5),file(bvfunc24,e3_1_3_1__bvfunc24),[file(bvfunc24,e3_1_3_1__bvfunc24)]]). fof(e22_1_3__bvfunc24,plain,( k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) = k4_enumset1(c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) ), inference(iterative_eq,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[e1_1_3_1__bvfunc24,e2_1_3_1__bvfunc24,e3_1_3_1__bvfunc24]), [interesting(0.65),file(bvfunc24,e22_1_3__bvfunc24),[file(bvfunc24,e22_1_3__bvfunc24)]]). fof(dh_c1_1_3_3__bvfunc24,definition, ( ( r2_hidden(c1_1_3_3__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c1_1_3_3__bvfunc24),c1_1_3_3__bvfunc24) ) => ! [A] : ( r2_hidden(A,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),A),A) ) ), introduced(definition,[new_symbol(c1_1_3_3__bvfunc24),file(bvfunc24,c1_1_3_3__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_3__bvfunc24)]). fof(e1_1_3_3__bvfunc24,assumption,( r2_hidden(c1_1_3_3__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) ), introduced(assumption,[file(bvfunc24,e1_1_3_3__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_3_3__bvfunc24)]). fof(dt_c1_1_3_3__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_3__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_3__bvfunc24)]). fof(e2_1_3_3__bvfunc24,plain,( ~ ( c1_1_3_3__bvfunc24 != c4_1__bvfunc24 & c1_1_3_3__bvfunc24 != c5_1__bvfunc24 & c1_1_3_3__bvfunc24 != c6_1__bvfunc24 & c1_1_3_3__bvfunc24 != c7_1__bvfunc24 & c1_1_3_3__bvfunc24 != c8_1__bvfunc24 & c1_1_3_3__bvfunc24 != c9_1__bvfunc24 ) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_3__bvfunc24,e1_1_3_3__bvfunc24,dt_c2_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_xboole_0,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c1_1_3_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,fc1_xboole_0,t1_boole,t1_subset,t6_boole,t7_boole,e1_1_3_3__bvfunc24,e12_1__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_3__bvfunc24),[file(bvfunc24,e2_1_3_3__bvfunc24)]]). fof(e3_1_3_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c1_1_3_3__bvfunc24),c1_1_3_3__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_3__bvfunc24,e1_1_3_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_k5_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_3__bvfunc24,dt_c2_1__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e2_1_3_3__bvfunc24,e1_1__bvfunc24,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,t7_bvfunc23]), [interesting(0.5),file(bvfunc24,e3_1_3_3__bvfunc24),[file(bvfunc24,e3_1_3_3__bvfunc24)]]). fof(i3_1_3_3__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_3__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_3_3__bvfunc24)]). fof(i2_1_3_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c1_1_3_3__bvfunc24),c1_1_3_3__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_3__bvfunc24,e1_1_3_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[e3_1_3_3__bvfunc24,i3_1_3_3__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_3_3__bvfunc24),[file(bvfunc24,i2_1_3_3__bvfunc24)]]). fof(i1_1_3_3__bvfunc24,plain, ( r2_hidden(c1_1_3_3__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c1_1_3_3__bvfunc24),c1_1_3_3__bvfunc24) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[e1_1_3_3__bvfunc24])],[e1_1_3_3__bvfunc24,i2_1_3_3__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_3_3__bvfunc24),[file(bvfunc24,i1_1_3_3__bvfunc24)]]). fof(i1_1_3_3_tmp__bvfunc24,plain, ( r2_hidden(c1_1_3_3__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c1_1_3_3__bvfunc24),c1_1_3_3__bvfunc24) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_3__bvfunc24])],[dt_c1_1_3_3__bvfunc24,i1_1_3_3__bvfunc24]), [interesting(0.65),e30_1_3__bvfunc24]). fof(e30_1_3__bvfunc24,plain,( ! [A] : ( r2_hidden(A,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24))) => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),A),A) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[i1_1_3_3_tmp__bvfunc24,dh_c1_1_3_3__bvfunc24]), [interesting(0.65),file(bvfunc24,e30_1_3__bvfunc24),[file(bvfunc24,e30_1_3__bvfunc24)]]). fof(dt_c1_1_3_8__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_8__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_8__bvfunc24)]). fof(dh_c1_1_3_8__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_3_8__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) & ~ r2_hidden(c1_1_3_8__bvfunc24,c1_1_3__bvfunc24) ) => ! [A] : ~ ( r2_hidden(A,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) & ~ r2_hidden(A,c1_1_3__bvfunc24) ) ), introduced(definition,[new_symbol(c1_1_3_8__bvfunc24),file(bvfunc24,c1_1_3_8__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_8__bvfunc24)]). fof(e1_1_3_8__bvfunc24,assumption,( r2_hidden(c1_1_3_8__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ), introduced(assumption,[file(bvfunc24,e1_1_3_8__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_3_8__bvfunc24)]). fof(de_c14_1_3__bvfunc24,definition,( c14_1_3__bvfunc24 = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)) ), introduced(definition,[new_symbol(c14_1_3__bvfunc24),file(bvfunc24,c14_1_3__bvfunc24)]), [interesting(0.65),axiom,file(bvfunc24,c14_1_3__bvfunc24)]). fof(e48_1_3__bvfunc24,plain, ( v1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) & v1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_funct_4,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang]), [interesting(0.65),file(bvfunc24,e48_1_3__bvfunc24),[file(bvfunc24,e48_1_3__bvfunc24)]]). fof(dt_c14_1_3__bvfunc24,plain, ( v1_relat_1(c14_1_3__bvfunc24) & v1_funct_1(c14_1_3__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_funct_4,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,de_c14_1_3__bvfunc24,e48_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,c14_1_3__bvfunc24),[file(bvfunc24,c14_1_3__bvfunc24)]]). fof(dt_c1_1_3_5__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_5__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_5__bvfunc24)]). fof(dh_c1_1_3_5__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_3_5__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) & ~ r2_hidden(c1_1_3_5__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ) => ! [A] : ~ ( r2_hidden(A,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) & ~ r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ) ), introduced(definition,[new_symbol(c1_1_3_5__bvfunc24),file(bvfunc24,c1_1_3_5__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_5__bvfunc24)]). fof(e1_1_3_5__bvfunc24,assumption,( r2_hidden(c1_1_3_5__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) ), introduced(assumption,[file(bvfunc24,e1_1_3_5__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_3_5__bvfunc24)]). fof(e31_1_3__bvfunc24,plain,( r2_hidden(c6_1__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e31_1_3__bvfunc24),[file(bvfunc24,e31_1_3__bvfunc24)]]). fof(e32_1_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e31_1_3__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e32_1_3__bvfunc24),[file(bvfunc24,e32_1_3__bvfunc24)]]). fof(e33_1_3__bvfunc24,plain,( r2_hidden(c4_1__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e33_1_3__bvfunc24),[file(bvfunc24,e33_1_3__bvfunc24)]]). fof(e34_1_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e33_1_3__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e34_1_3__bvfunc24),[file(bvfunc24,e34_1_3__bvfunc24)]]). fof(e35_1_3__bvfunc24,plain,( r2_hidden(c5_1__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e35_1_3__bvfunc24),[file(bvfunc24,e35_1_3__bvfunc24)]]). fof(e36_1_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e35_1_3__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e36_1_3__bvfunc24),[file(bvfunc24,e36_1_3__bvfunc24)]]). fof(e37_1_3__bvfunc24,plain,( r2_hidden(c7_1__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e37_1_3__bvfunc24),[file(bvfunc24,e37_1_3__bvfunc24)]]). fof(e38_1_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e37_1_3__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e38_1_3__bvfunc24),[file(bvfunc24,e38_1_3__bvfunc24)]]). fof(e39_1_3__bvfunc24,plain,( r2_hidden(c8_1__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e39_1_3__bvfunc24),[file(bvfunc24,e39_1_3__bvfunc24)]]). fof(e40_1_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e39_1_3__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e40_1_3__bvfunc24),[file(bvfunc24,e40_1_3__bvfunc24)]]). fof(e41_1_3__bvfunc24,plain,( r2_hidden(c9_1__bvfunc24,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e23_1_3__bvfunc24,d4_enumset1]), [interesting(0.65),file(bvfunc24,e41_1_3__bvfunc24),[file(bvfunc24,e41_1_3__bvfunc24)]]). fof(e42_1_3__bvfunc24,plain,( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e41_1_3__bvfunc24,d5_funct_1]), [interesting(0.65),file(bvfunc24,e42_1_3__bvfunc24),[file(bvfunc24,e42_1_3__bvfunc24)]]). fof(e2_1_3_5__bvfunc24,plain,( r2_hidden(c1_1_3_5__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc24,e1_1_3_5__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_5__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_5__bvfunc24,e32_1_3__bvfunc24,e34_1_3__bvfunc24,e36_1_3__bvfunc24,e38_1_3__bvfunc24,e40_1_3__bvfunc24,e42_1_3__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_5__bvfunc24),[file(bvfunc24,e2_1_3_5__bvfunc24)]]). fof(i3_1_3_5__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_5__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_3_5__bvfunc24)]). fof(i2_1_3_5__bvfunc24,plain,( r2_hidden(c1_1_3_5__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_5__bvfunc24,e1_1_3_5__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[e2_1_3_5__bvfunc24,i3_1_3_5__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_3_5__bvfunc24),[file(bvfunc24,i2_1_3_5__bvfunc24)]]). fof(i1_1_3_5__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_5__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) & ~ r2_hidden(c1_1_3_5__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_5__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_5__bvfunc24])],[e1_1_3_5__bvfunc24,i2_1_3_5__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_3_5__bvfunc24),[file(bvfunc24,i1_1_3_5__bvfunc24)]]). fof(i1_1_3_5_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_5__bvfunc24,k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24))) & ~ r2_hidden(c1_1_3_5__bvfunc24,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_5__bvfunc24])],[dt_c1_1_3_5__bvfunc24,i1_1_3_5__bvfunc24]), [interesting(0.65),e44_1_3__bvfunc24]). fof(e44_1_3__bvfunc24,plain,( r1_tarski(k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24)),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)))) ), inference(let,[status(thm),assumptions([dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[i1_1_3_5_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_1__bvfunc24,cc2_eqrel_1,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,d3_tarski,dh_c1_1_3_5__bvfunc24]), [interesting(0.65),file(bvfunc24,e44_1_3__bvfunc24),[file(bvfunc24,e44_1_3__bvfunc24)]]). fof(e45_1_3__bvfunc24,plain,( k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24))) = k4_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c4_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c5_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c6_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c7_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c8_1__bvfunc24),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc24,c10_1_3__bvfunc24),k3_cqc_lang(c5_1__bvfunc24,c11_1_3__bvfunc24)),k3_cqc_lang(c6_1__bvfunc24,c9_1_3__bvfunc24)),k3_cqc_lang(c7_1__bvfunc24,c7_1_3__bvfunc24)),k3_cqc_lang(c8_1__bvfunc24,c5_1_3__bvfunc24)),k3_cqc_lang(c9_1__bvfunc24,c3_1_3__bvfunc24)),c9_1__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc2_eqrel_1,fc1_subset_1,idempotence_k1_funct_4,reflexivity_r1_tarski,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,t3_subset,e44_1_3__bvfunc24,e43_1_3__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e45_1_3__bvfunc24),[file(bvfunc24,e45_1_3__bvfunc24)]]). fof(e2_1_3_8__bvfunc24,plain, ( r2_hidden(k1_funct_1(c14_1_3__bvfunc24,c4_1__bvfunc24),k2_relat_1(c14_1_3__bvfunc24)) & r2_hidden(k1_funct_1(c14_1_3__bvfunc24,c5_1__bvfunc24),k2_relat_1(c14_1_3__bvfunc24)) & r2_hidden(k1_funct_1(c14_1_3__bvfunc24,c6_1__bvfunc24),k2_relat_1(c14_1_3__bvfunc24)) & r2_hidden(k1_funct_1(c14_1_3__bvfunc24,c7_1__bvfunc24),k2_relat_1(c14_1_3__bvfunc24)) & r2_hidden(k1_funct_1(c14_1_3__bvfunc24,c8_1__bvfunc24),k2_relat_1(c14_1_3__bvfunc24)) & r2_hidden(k1_funct_1(c14_1_3__bvfunc24,c9_1__bvfunc24),k2_relat_1(c14_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e45_1_3__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_8__bvfunc24),[file(bvfunc24,e2_1_3_8__bvfunc24)]]). fof(e49_1_3__bvfunc24,plain,( k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24) = k1_setfam_1(k2_relat_1(c14_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k6_setfam_1,dt_k1_funct_1,dt_k1_funct_4,dt_k1_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c13_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c13_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e32_1_3__bvfunc24,d10_setfam_1]), [interesting(0.65),file(bvfunc24,e49_1_3__bvfunc24),[file(bvfunc24,e49_1_3__bvfunc24)]]). fof(e3_1_3_8__bvfunc24,plain, ( r2_hidden(c1_1_3_8__bvfunc24,c10_1_3__bvfunc24) & r2_hidden(c1_1_3_8__bvfunc24,c11_1_3__bvfunc24) & r2_hidden(c1_1_3_8__bvfunc24,c9_1_3__bvfunc24) & r2_hidden(c1_1_3_8__bvfunc24,c7_1_3__bvfunc24) & r2_hidden(c1_1_3_8__bvfunc24,c5_1_3__bvfunc24) & r2_hidden(c1_1_3_8__bvfunc24,c3_1_3__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_cqc_lang,dt_k8_setfam_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c13_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3_8__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c13_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e2_1_3_8__bvfunc24,e24_1_3__bvfunc24,e25_1_3__bvfunc24,e26_1_3__bvfunc24,e27_1_3__bvfunc24,e28_1_3__bvfunc24,e29_1_3__bvfunc24,e49_1_3__bvfunc24,e1_1_3_8__bvfunc24,d1_setfam_1]), [interesting(0.5),file(bvfunc24,e3_1_3_8__bvfunc24),[file(bvfunc24,e3_1_3_8__bvfunc24)]]). fof(e4_1_3_8__bvfunc24,plain,( r2_hidden(c1_1_3_8__bvfunc24,k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_8__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e3_1_3_8__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e4_1_3_8__bvfunc24),[file(bvfunc24,e4_1_3_8__bvfunc24)]]). fof(e5_1_3_8__bvfunc24,plain,( r2_hidden(c1_1_3_8__bvfunc24,k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_8__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e4_1_3_8__bvfunc24,e3_1_3_8__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e5_1_3_8__bvfunc24),[file(bvfunc24,e5_1_3_8__bvfunc24)]]). fof(e6_1_3_8__bvfunc24,plain,( r2_hidden(c1_1_3_8__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),c7_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_8__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3_8__bvfunc24,e3_1_3_8__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e6_1_3_8__bvfunc24),[file(bvfunc24,e6_1_3_8__bvfunc24)]]). fof(e7_1_3_8__bvfunc24,plain,( r2_hidden(c1_1_3_8__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),c7_1_3__bvfunc24),c5_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_8__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e6_1_3_8__bvfunc24,e3_1_3_8__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e7_1_3_8__bvfunc24),[file(bvfunc24,e7_1_3_8__bvfunc24)]]). fof(e8_1_3_8__bvfunc24,plain,( r2_hidden(c1_1_3_8__bvfunc24,c1_1_3__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_8__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e7_1_3_8__bvfunc24,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e3_1_3_8__bvfunc24,d3_xboole_0]), [interesting(0.5),file(bvfunc24,e8_1_3_8__bvfunc24),[file(bvfunc24,e8_1_3_8__bvfunc24)]]). fof(i3_1_3_8__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_8__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_3_8__bvfunc24)]). fof(i2_1_3_8__bvfunc24,plain,( r2_hidden(c1_1_3_8__bvfunc24,c1_1_3__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3_8__bvfunc24])],[e8_1_3_8__bvfunc24,i3_1_3_8__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_3_8__bvfunc24),[file(bvfunc24,i2_1_3_8__bvfunc24)]]). fof(i1_1_3_8__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_8__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) & ~ r2_hidden(c1_1_3_8__bvfunc24,c1_1_3__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_8__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_8__bvfunc24])],[e1_1_3_8__bvfunc24,i2_1_3_8__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_3_8__bvfunc24),[file(bvfunc24,i1_1_3_8__bvfunc24)]]). fof(i1_1_3_8_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_8__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) & ~ r2_hidden(c1_1_3_8__bvfunc24,c1_1_3__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_8__bvfunc24])],[dt_c1_1_3_8__bvfunc24,i1_1_3_8__bvfunc24]), [interesting(0.65),e51_1_3__bvfunc24]). fof(e51_1_3__bvfunc24,plain,( r1_tarski(k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24),c1_1_3__bvfunc24) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3__bvfunc24,e1_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[i1_1_3_8_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k8_setfam_1,dt_c13_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,d3_tarski,dh_c1_1_3_8__bvfunc24]), [interesting(0.65),file(bvfunc24,e51_1_3__bvfunc24),[file(bvfunc24,e51_1_3__bvfunc24)]]). fof(dt_c1_1_3_7__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_7__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_7__bvfunc24)]). fof(dh_c1_1_3_7__bvfunc24,definition, ( ~ ( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3__bvfunc24) & ~ r2_hidden(c1_1_3_7__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ) => ! [A] : ~ ( r2_hidden(A,c1_1_3__bvfunc24) & ~ r2_hidden(A,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ) ), introduced(definition,[new_symbol(c1_1_3_7__bvfunc24),file(bvfunc24,c1_1_3_7__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,c1_1_3_7__bvfunc24)]). fof(e1_1_3_7__bvfunc24,assumption,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7__bvfunc24)]), [interesting(0.5),axiom,file(bvfunc24,e1_1_3_7__bvfunc24)]). fof(dh_c1_1_3_7_1__bvfunc24,definition, ( ( r2_hidden(c1_1_3_7_1__bvfunc24,c13_1_3__bvfunc24) => r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) => ! [A] : ( r2_hidden(A,c13_1_3__bvfunc24) => r2_hidden(c1_1_3_7__bvfunc24,A) ) ), introduced(definition,[new_symbol(c1_1_3_7_1__bvfunc24),file(bvfunc24,c1_1_3_7_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,c1_1_3_7_1__bvfunc24)]). fof(e1_1_3_7_1__bvfunc24,assumption,( r2_hidden(c1_1_3_7_1__bvfunc24,c13_1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,e1_1_3_7_1__bvfunc24)]). fof(dt_c1_1_3_7_1__bvfunc24,assumption,( $true ), introduced(assumption,[file(bvfunc24,c1_1_3_7_1__bvfunc24)]), [interesting(0.35),axiom,file(bvfunc24,c1_1_3_7_1__bvfunc24)]). fof(e1_1_3_7_1_1_1_1__bvfunc24,assumption,( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c6_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1_1_1_1__bvfunc24)]), [interesting(0.02),axiom,file(bvfunc24,e1_1_3_7_1_1_1_1__bvfunc24)]). fof(t16_xboole_1,theorem,( ! [A,B,C] : k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C)) ), file(xboole_1,t16_xboole_1), [interesting(0.9),axiom,file(xboole_1,t16_xboole_1)]). fof(e2_1_3_7_1_1_1_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c7_1_3__bvfunc24)),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e1_1_3_7__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e2_1_3_7_1_1_1_1__bvfunc24),[file(bvfunc24,e2_1_3_7_1_1_1_1__bvfunc24)]]). fof(e3_1_3_7_1_1_1_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c7_1_3__bvfunc24),c5_1_3__bvfunc24)),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e2_1_3_7_1_1_1_1__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e3_1_3_7_1_1_1_1__bvfunc24),[file(bvfunc24,e3_1_3_7_1_1_1_1__bvfunc24)]]). fof(e4_1_3_7_1_1_1_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(c9_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c7_1_3__bvfunc24),c5_1_3__bvfunc24),c3_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e3_1_3_7_1_1_1_1__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e4_1_3_7_1_1_1_1__bvfunc24),[file(bvfunc24,e4_1_3_7_1_1_1_1__bvfunc24)]]). fof(e5_1_3_7_1_1_1_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e4_1_3_7_1_1_1_1__bvfunc24,e24_1_3__bvfunc24,e1_1_3_7_1_1_1_1__bvfunc24,d3_xboole_0]), [interesting(0.02),file(bvfunc24,e5_1_3_7_1_1_1_1__bvfunc24),[file(bvfunc24,e5_1_3_7_1_1_1_1__bvfunc24)]]). fof(i2_1_3_7_1_1_1_1__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i2_1_3_7_1_1_1_1__bvfunc24)]), [interesting(0.02),trivial,file(bvfunc24,i2_1_3_7_1_1_1_1__bvfunc24)]). fof(i1_1_3_7_1_1_1_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_1__bvfunc24])],[e5_1_3_7_1_1_1_1__bvfunc24,i2_1_3_7_1_1_1_1__bvfunc24]), [interesting(0.02),file(bvfunc24,i1_1_3_7_1_1_1_1__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1_1__bvfunc24)]]). fof(i1_1_3_7_1_1_1__bvfunc24,plain, ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c6_1__bvfunc24) => ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c6_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1_1_1_1__bvfunc24])],[e1_1_3_7_1_1_1_1__bvfunc24,i1_1_3_7_1_1_1_1__bvfunc24]), [interesting(0.05),file(bvfunc24,i1_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1__bvfunc24)]]). fof(e1_1_3_7_1_1_1_2__bvfunc24,assumption,( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c4_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1_1_1_2__bvfunc24)]), [interesting(0.02),axiom,file(bvfunc24,e1_1_3_7_1_1_1_2__bvfunc24)]). fof(e2_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(c9_1_3__bvfunc24,c10_1_3__bvfunc24)),c7_1_3__bvfunc24),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e1_1_3_7__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e2_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e2_1_3_7_1_1_1_2__bvfunc24)]]). fof(e3_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c10_1_3__bvfunc24),c7_1_3__bvfunc24)),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e2_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e3_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e3_1_3_7_1_1_1_2__bvfunc24)]]). fof(e4_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),c10_1_3__bvfunc24)),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e3_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e4_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e4_1_3_7_1_1_1_2__bvfunc24)]]). fof(e5_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),c10_1_3__bvfunc24),c5_1_3__bvfunc24)),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e4_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e5_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e5_1_3_7_1_1_1_2__bvfunc24)]]). fof(e6_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),c10_1_3__bvfunc24),c5_1_3__bvfunc24),c3_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e6_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e6_1_3_7_1_1_1_2__bvfunc24)]]). fof(e7_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),k3_xboole_0(c5_1_3__bvfunc24,c10_1_3__bvfunc24)),c3_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e6_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e7_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e7_1_3_7_1_1_1_2__bvfunc24)]]). fof(e8_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),k3_xboole_0(k3_xboole_0(c5_1_3__bvfunc24,c10_1_3__bvfunc24),c3_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e7_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e8_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e8_1_3_7_1_1_1_2__bvfunc24)]]). fof(e9_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),k3_xboole_0(c5_1_3__bvfunc24,k3_xboole_0(c3_1_3__bvfunc24,c10_1_3__bvfunc24))))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e8_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e9_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e9_1_3_7_1_1_1_2__bvfunc24)]]). fof(e10_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24)),k3_xboole_0(c5_1_3__bvfunc24,k3_xboole_0(c3_1_3__bvfunc24,c10_1_3__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e9_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e10_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e10_1_3_7_1_1_1_2__bvfunc24)]]). fof(e11_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24)),c5_1_3__bvfunc24),k3_xboole_0(c3_1_3__bvfunc24,c10_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e10_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e11_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e11_1_3_7_1_1_1_2__bvfunc24)]]). fof(e12_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24)),c5_1_3__bvfunc24),c3_1_3__bvfunc24),c10_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e11_1_3_7_1_1_1_2__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e12_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e12_1_3_7_1_1_1_2__bvfunc24)]]). fof(e13_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_2__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e12_1_3_7_1_1_1_2__bvfunc24,e25_1_3__bvfunc24,e1_1_3_7_1_1_1_2__bvfunc24,d3_xboole_0]), [interesting(0.02),file(bvfunc24,e13_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,e13_1_3_7_1_1_1_2__bvfunc24)]]). fof(i2_1_3_7_1_1_1_2__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i2_1_3_7_1_1_1_2__bvfunc24)]), [interesting(0.02),trivial,file(bvfunc24,i2_1_3_7_1_1_1_2__bvfunc24)]). fof(i1_1_3_7_1_1_1_2__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_2__bvfunc24])],[e13_1_3_7_1_1_1_2__bvfunc24,i2_1_3_7_1_1_1_2__bvfunc24]), [interesting(0.02),file(bvfunc24,i1_1_3_7_1_1_1_2__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1_2__bvfunc24)]]). fof(i2_1_3_7_1_1_1__bvfunc24,plain, ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c4_1__bvfunc24) => ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c4_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1_1_1_2__bvfunc24])],[e1_1_3_7_1_1_1_2__bvfunc24,i1_1_3_7_1_1_1_2__bvfunc24]), [interesting(0.05),file(bvfunc24,i2_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,i2_1_3_7_1_1_1__bvfunc24)]]). fof(e1_1_3_7_1_1_1_3__bvfunc24,assumption,( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c5_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1_1_1_3__bvfunc24)]), [interesting(0.02),axiom,file(bvfunc24,e1_1_3_7_1_1_1_3__bvfunc24)]). fof(e2_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(c9_1_3__bvfunc24,c10_1_3__bvfunc24)),c7_1_3__bvfunc24),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e1_1_3_7__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e2_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,e2_1_3_7_1_1_1_3__bvfunc24)]]). fof(e3_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c10_1_3__bvfunc24),c7_1_3__bvfunc24)),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e2_1_3_7_1_1_1_3__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e3_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,e3_1_3_7_1_1_1_3__bvfunc24)]]). fof(e4_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),c10_1_3__bvfunc24)),c5_1_3__bvfunc24),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e3_1_3_7_1_1_1_3__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e4_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,e4_1_3_7_1_1_1_3__bvfunc24)]]). fof(e5_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),c10_1_3__bvfunc24),c5_1_3__bvfunc24)),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e4_1_3_7_1_1_1_3__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e5_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,e5_1_3_7_1_1_1_3__bvfunc24)]]). fof(e6_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(c11_1_3__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc24,c7_1_3__bvfunc24),c10_1_3__bvfunc24),c5_1_3__bvfunc24),c3_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3_7_1_1_1_3__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e6_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,e6_1_3_7_1_1_1_3__bvfunc24)]]). fof(e7_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_3__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e6_1_3_7_1_1_1_3__bvfunc24,e26_1_3__bvfunc24,e1_1_3_7_1_1_1_3__bvfunc24,d3_xboole_0]), [interesting(0.02),file(bvfunc24,e7_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,e7_1_3_7_1_1_1_3__bvfunc24)]]). fof(i2_1_3_7_1_1_1_3__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i2_1_3_7_1_1_1_3__bvfunc24)]), [interesting(0.02),trivial,file(bvfunc24,i2_1_3_7_1_1_1_3__bvfunc24)]). fof(i1_1_3_7_1_1_1_3__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_3__bvfunc24])],[e7_1_3_7_1_1_1_3__bvfunc24,i2_1_3_7_1_1_1_3__bvfunc24]), [interesting(0.02),file(bvfunc24,i1_1_3_7_1_1_1_3__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1_3__bvfunc24)]]). fof(i3_1_3_7_1_1_1__bvfunc24,plain, ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c5_1__bvfunc24) => ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c5_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1_1_1_3__bvfunc24])],[e1_1_3_7_1_1_1_3__bvfunc24,i1_1_3_7_1_1_1_3__bvfunc24]), [interesting(0.05),file(bvfunc24,i3_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,i3_1_3_7_1_1_1__bvfunc24)]]). fof(e1_1_3_7_1_1_1_4__bvfunc24,assumption,( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c7_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1_1_1_4__bvfunc24)]), [interesting(0.02),axiom,file(bvfunc24,e1_1_3_7_1_1_1_4__bvfunc24)]). fof(e2_1_3_7_1_1_1_4__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),k3_xboole_0(c5_1_3__bvfunc24,c7_1_3__bvfunc24)),c3_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e1_1_3_7__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e2_1_3_7_1_1_1_4__bvfunc24),[file(bvfunc24,e2_1_3_7_1_1_1_4__bvfunc24)]]). fof(e3_1_3_7_1_1_1_4__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),k3_xboole_0(k3_xboole_0(c5_1_3__bvfunc24,c7_1_3__bvfunc24),c3_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e2_1_3_7_1_1_1_4__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e3_1_3_7_1_1_1_4__bvfunc24),[file(bvfunc24,e3_1_3_7_1_1_1_4__bvfunc24)]]). fof(e4_1_3_7_1_1_1_4__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),k3_xboole_0(k3_xboole_0(c5_1_3__bvfunc24,c3_1_3__bvfunc24),c7_1_3__bvfunc24))) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e3_1_3_7_1_1_1_4__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e4_1_3_7_1_1_1_4__bvfunc24),[file(bvfunc24,e4_1_3_7_1_1_1_4__bvfunc24)]]). fof(e5_1_3_7_1_1_1_4__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),k3_xboole_0(c5_1_3__bvfunc24,c3_1_3__bvfunc24)),c7_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e4_1_3_7_1_1_1_4__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e5_1_3_7_1_1_1_4__bvfunc24),[file(bvfunc24,e5_1_3_7_1_1_1_4__bvfunc24)]]). fof(e6_1_3_7_1_1_1_4__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_4__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e5_1_3_7_1_1_1_4__bvfunc24,e27_1_3__bvfunc24,e1_1_3_7_1_1_1_4__bvfunc24,d3_xboole_0]), [interesting(0.02),file(bvfunc24,e6_1_3_7_1_1_1_4__bvfunc24),[file(bvfunc24,e6_1_3_7_1_1_1_4__bvfunc24)]]). fof(i2_1_3_7_1_1_1_4__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i2_1_3_7_1_1_1_4__bvfunc24)]), [interesting(0.02),trivial,file(bvfunc24,i2_1_3_7_1_1_1_4__bvfunc24)]). fof(i1_1_3_7_1_1_1_4__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_4__bvfunc24])],[e6_1_3_7_1_1_1_4__bvfunc24,i2_1_3_7_1_1_1_4__bvfunc24]), [interesting(0.02),file(bvfunc24,i1_1_3_7_1_1_1_4__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1_4__bvfunc24)]]). fof(i4_1_3_7_1_1_1__bvfunc24,plain, ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c7_1__bvfunc24) => ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c7_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1_1_1_4__bvfunc24])],[e1_1_3_7_1_1_1_4__bvfunc24,i1_1_3_7_1_1_1_4__bvfunc24]), [interesting(0.05),file(bvfunc24,i4_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,i4_1_3_7_1_1_1__bvfunc24)]]). fof(e1_1_3_7_1_1_1_5__bvfunc24,assumption,( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c8_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1_1_1_5__bvfunc24)]), [interesting(0.02),axiom,file(bvfunc24,e1_1_3_7_1_1_1_5__bvfunc24)]). fof(e2_1_3_7_1_1_1_5__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c10_1_3__bvfunc24,c11_1_3__bvfunc24),c9_1_3__bvfunc24),c7_1_3__bvfunc24),c3_1_3__bvfunc24),c5_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c4_1_3__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c6_1_3__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c8_1_3__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,t1_subset,t7_boole,e5_1_3__bvfunc24,e9_1_3__bvfunc24,e13_1_3__bvfunc24,e17_1_3__bvfunc24,e21_1_3__bvfunc24,e1_1_3_7__bvfunc24,t16_xboole_1]), [interesting(0.02),file(bvfunc24,e2_1_3_7_1_1_1_5__bvfunc24),[file(bvfunc24,e2_1_3_7_1_1_1_5__bvfunc24)]]). fof(e3_1_3_7_1_1_1_5__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_5__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e2_1_3_7_1_1_1_5__bvfunc24,e28_1_3__bvfunc24,e1_1_3_7_1_1_1_5__bvfunc24,d3_xboole_0]), [interesting(0.02),file(bvfunc24,e3_1_3_7_1_1_1_5__bvfunc24),[file(bvfunc24,e3_1_3_7_1_1_1_5__bvfunc24)]]). fof(i2_1_3_7_1_1_1_5__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i2_1_3_7_1_1_1_5__bvfunc24)]), [interesting(0.02),trivial,file(bvfunc24,i2_1_3_7_1_1_1_5__bvfunc24)]). fof(i1_1_3_7_1_1_1_5__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7_1_1_1_5__bvfunc24])],[e3_1_3_7_1_1_1_5__bvfunc24,i2_1_3_7_1_1_1_5__bvfunc24]), [interesting(0.02),file(bvfunc24,i1_1_3_7_1_1_1_5__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1_5__bvfunc24)]]). fof(i5_1_3_7_1_1_1__bvfunc24,plain, ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c8_1__bvfunc24) => ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c8_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7_1__bvfunc24,dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1_1_1_5__bvfunc24])],[e1_1_3_7_1_1_1_5__bvfunc24,i1_1_3_7_1_1_1_5__bvfunc24]), [interesting(0.05),file(bvfunc24,i5_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,i5_1_3_7_1_1_1__bvfunc24)]]). fof(e1_1_3_7_1_1_1_6__bvfunc24,assumption,( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c9_1__bvfunc24) ), introduced(assumption,[file(bvfunc24,e1_1_3_7_1_1_1_6__bvfunc24)]), [interesting(0.02),axiom,file(bvfunc24,e1_1_3_7_1_1_1_6__bvfunc24)]). fof(e2_1_3_7_1_1_1_6__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,e1_1_3_7_1_1_1_6__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c2_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_7_1_1_1_6__bvfunc24,e5_1_3__bvfunc24,e29_1_3__bvfunc24,e1_1_3_7__bvfunc24,d3_xboole_0]), [interesting(0.02),file(bvfunc24,e2_1_3_7_1_1_1_6__bvfunc24),[file(bvfunc24,e2_1_3_7_1_1_1_6__bvfunc24)]]). fof(i2_1_3_7_1_1_1_6__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i2_1_3_7_1_1_1_6__bvfunc24)]), [interesting(0.02),trivial,file(bvfunc24,i2_1_3_7_1_1_1_6__bvfunc24)]). fof(i1_1_3_7_1_1_1_6__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,e1_1_3_7_1_1_1_6__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7__bvfunc24])],[e2_1_3_7_1_1_1_6__bvfunc24,i2_1_3_7_1_1_1_6__bvfunc24]), [interesting(0.02),file(bvfunc24,i1_1_3_7_1_1_1_6__bvfunc24),[file(bvfunc24,i1_1_3_7_1_1_1_6__bvfunc24)]]). fof(i6_1_3_7_1_1_1__bvfunc24,plain, ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c9_1__bvfunc24) => ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c9_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1__bvfunc24,e1_1_3_7__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1_1_1_6__bvfunc24])],[e1_1_3_7_1_1_1_6__bvfunc24,i1_1_3_7_1_1_1_6__bvfunc24]), [interesting(0.05),file(bvfunc24,i6_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,i6_1_3_7_1_1_1__bvfunc24)]]). fof(e1_1_3_7_1_1_1__bvfunc24,plain,( ~ ( c1_1_3_7_1__bvfunc24 != k1_funct_1(c14_1_3__bvfunc24,c6_1__bvfunc24) & c1_1_3_7_1__bvfunc24 != k1_funct_1(c14_1_3__bvfunc24,c4_1__bvfunc24) & c1_1_3_7_1__bvfunc24 != k1_funct_1(c14_1_3__bvfunc24,c5_1__bvfunc24) & c1_1_3_7_1__bvfunc24 != k1_funct_1(c14_1_3__bvfunc24,c7_1__bvfunc24) & c1_1_3_7_1__bvfunc24 != k1_funct_1(c14_1_3__bvfunc24,c8_1__bvfunc24) & c1_1_3_7_1__bvfunc24 != k1_funct_1(c14_1_3__bvfunc24,c9_1__bvfunc24) ) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7_1__bvfunc24])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c13_1_3__bvfunc24,dt_c14_1_3__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c13_1_3__bvfunc24,de_c14_1_3__bvfunc24,fc1_cqc_lang,t1_subset,t3_subset,t7_boole,e43_1_3__bvfunc24,e1_1_3_7_1__bvfunc24,d4_enumset1]), [interesting(0.05),file(bvfunc24,e1_1_3_7_1_1_1__bvfunc24),[file(bvfunc24,e1_1_3_7_1_1_1__bvfunc24)]]). fof(e2_1_3_7_1__bvfunc24,plain,( ~ ( ~ ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c6_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) & ~ ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c4_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) & ~ ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c5_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) & ~ ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c7_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) & ~ ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c8_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) & ~ ( c1_1_3_7_1__bvfunc24 = k1_funct_1(c14_1_3__bvfunc24,c9_1__bvfunc24) & r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ) ) ), inference(percases,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7_1__bvfunc24])],[i1_1_3_7_1_1_1__bvfunc24,i2_1_3_7_1_1_1__bvfunc24,i3_1_3_7_1_1_1__bvfunc24,i4_1_3_7_1_1_1__bvfunc24,i5_1_3_7_1_1_1__bvfunc24,i6_1_3_7_1_1_1__bvfunc24,e1_1_3_7_1_1_1__bvfunc24]), [interesting(0.35),file(bvfunc24,e2_1_3_7_1__bvfunc24),[file(bvfunc24,e2_1_3_7_1__bvfunc24)]]). fof(e3_1_3_7_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7_1__bvfunc24])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,idempotence_k1_funct_4,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_m1_eqrel_1,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c5_1_3__bvfunc24,dt_c7_1_3__bvfunc24,dt_c9_1_3__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_cqc_lang,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_c14_1_3__bvfunc24,dt_c1_1_3_7__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,de_c14_1_3__bvfunc24,t1_subset,t7_boole,e2_1_3_7_1__bvfunc24]), [interesting(0.35),file(bvfunc24,e3_1_3_7_1__bvfunc24),[file(bvfunc24,e3_1_3_7_1__bvfunc24)]]). fof(i3_1_3_7_1__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_7_1__bvfunc24)]), [interesting(0.35),trivial,file(bvfunc24,i3_1_3_7_1__bvfunc24)]). fof(i2_1_3_7_1__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24,e1_1_3_7_1__bvfunc24])],[e3_1_3_7_1__bvfunc24,i3_1_3_7_1__bvfunc24]), [interesting(0.35),file(bvfunc24,i2_1_3_7_1__bvfunc24),[file(bvfunc24,i2_1_3_7_1__bvfunc24)]]). fof(i1_1_3_7_1__bvfunc24,plain, ( r2_hidden(c1_1_3_7_1__bvfunc24,c13_1_3__bvfunc24) => r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1_3_7_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[e1_1_3_7_1__bvfunc24])],[e1_1_3_7_1__bvfunc24,i2_1_3_7_1__bvfunc24]), [interesting(0.35),file(bvfunc24,i1_1_3_7_1__bvfunc24),[file(bvfunc24,i1_1_3_7_1__bvfunc24)]]). fof(i1_1_3_7_1_tmp__bvfunc24,plain, ( r2_hidden(c1_1_3_7_1__bvfunc24,c13_1_3__bvfunc24) => r2_hidden(c1_1_3_7__bvfunc24,c1_1_3_7_1__bvfunc24) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_7_1__bvfunc24])],[dt_c1_1_3_7_1__bvfunc24,i1_1_3_7_1__bvfunc24]), [interesting(0.5),e3_1_3_7__bvfunc24]). fof(e3_1_3_7__bvfunc24,plain,( ! [A] : ( r2_hidden(A,c13_1_3__bvfunc24) => r2_hidden(c1_1_3_7__bvfunc24,A) ) ), inference(let,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[i1_1_3_7_1_tmp__bvfunc24,dh_c1_1_3_7_1__bvfunc24]), [interesting(0.5),file(bvfunc24,e3_1_3_7__bvfunc24),[file(bvfunc24,e3_1_3_7__bvfunc24)]]). fof(e2_1_3_7__bvfunc24,plain,( c13_1_3__bvfunc24 != k1_xboole_0 ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_cqc_lang,dt_k4_enumset1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c13_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c13_1_3__bvfunc24,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e45_1_3__bvfunc24,d4_enumset1]), [interesting(0.5),file(bvfunc24,e2_1_3_7__bvfunc24),[file(bvfunc24,e2_1_3_7__bvfunc24)]]). fof(e4_1_3_7__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k6_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,idempotence_k1_funct_4,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k6_setfam_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k6_setfam_1,dt_c13_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3_7__bvfunc24,de_c13_1_3__bvfunc24,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_1_3_7__bvfunc24,e2_1_3_7__bvfunc24,d1_setfam_1]), [interesting(0.5),file(bvfunc24,e4_1_3_7__bvfunc24),[file(bvfunc24,e4_1_3_7__bvfunc24)]]). fof(e5_1_3_7__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,idempotence_k1_funct_4,reflexivity_r1_tarski,dt_k1_funct_4,dt_k1_setfam_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k6_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c13_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3_7__bvfunc24,de_c13_1_3__bvfunc24,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e4_1_3_7__bvfunc24,e2_1_3_7__bvfunc24,d10_setfam_1]), [interesting(0.5),file(bvfunc24,e5_1_3_7__bvfunc24),[file(bvfunc24,e5_1_3_7__bvfunc24)]]). fof(i3_1_3_7__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3_7__bvfunc24)]), [interesting(0.5),trivial,file(bvfunc24,i3_1_3_7__bvfunc24)]). fof(i2_1_3_7__bvfunc24,plain,( r2_hidden(c1_1_3_7__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ), inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,e1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[e5_1_3_7__bvfunc24,i3_1_3_7__bvfunc24]), [interesting(0.5),file(bvfunc24,i2_1_3_7__bvfunc24),[file(bvfunc24,i2_1_3_7__bvfunc24)]]). fof(i1_1_3_7__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3__bvfunc24) & ~ r2_hidden(c1_1_3_7__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[e1_1_3_7__bvfunc24])],[e1_1_3_7__bvfunc24,i2_1_3_7__bvfunc24]), [interesting(0.5),file(bvfunc24,i1_1_3_7__bvfunc24),[file(bvfunc24,i1_1_3_7__bvfunc24)]]). fof(i1_1_3_7_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3_7__bvfunc24,c1_1_3__bvfunc24) & ~ r2_hidden(c1_1_3_7__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3_7__bvfunc24])],[dt_c1_1_3_7__bvfunc24,i1_1_3_7__bvfunc24]), [interesting(0.65),e50_1_3__bvfunc24]). fof(e50_1_3__bvfunc24,plain,( r1_tarski(c1_1_3__bvfunc24,k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24)) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[i1_1_3_7_tmp__bvfunc24,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k8_setfam_1,dt_c13_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,d3_tarski,dh_c1_1_3_7__bvfunc24]), [interesting(0.65),file(bvfunc24,e50_1_3__bvfunc24),[file(bvfunc24,e50_1_3__bvfunc24)]]). fof(e52_1_3__bvfunc24,plain,( c1_1_3__bvfunc24 = k8_setfam_1(c1_1__bvfunc24,c13_1_3__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_xboole_0,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,t1_subset,t4_subset,t5_subset,idempotence_k1_funct_4,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,fc1_cqc_lang,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,reflexivity_r1_tarski,dt_k8_setfam_1,dt_c13_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,de_c13_1_3__bvfunc24,t3_subset,e51_1_3__bvfunc24,e50_1_3__bvfunc24,d10_xboole_0]), [interesting(0.65),file(bvfunc24,e52_1_3__bvfunc24),[file(bvfunc24,e52_1_3__bvfunc24)]]). fof(e54_1_3__bvfunc24,plain,( r2_hidden(c1_1_3__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k4_xboole_0,dt_m1_t_1topsp,fc2_subset_1,t3_boole,t4_boole,idempotence_k1_funct_4,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_bvfunc_2,dt_k2_relat_1,dt_k2_xboole_0,dt_k3_cqc_lang,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k6_subset_1,dt_k8_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c10_1_3__bvfunc24,dt_c11_1_3__bvfunc24,dt_c13_1_3__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c3_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c5_1_3__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c7_1_3__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,dt_c9_1_3__bvfunc24,de_c13_1_3__bvfunc24,cc1_eqrel_1,cc2_eqrel_1,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t1_boole,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,e53_1_3__bvfunc24,e12_1__bvfunc24,e22_1_3__bvfunc24,e30_1_3__bvfunc24,e52_1_3__bvfunc24,d1_bvfunc_2]), [interesting(0.65),file(bvfunc24,e54_1_3__bvfunc24),[file(bvfunc24,e54_1_3__bvfunc24)]]). fof(i3_1_3__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i3_1_3__bvfunc24)]), [interesting(0.65),trivial,file(bvfunc24,i3_1_3__bvfunc24)]). fof(i2_1_3__bvfunc24,plain,( r2_hidden(c1_1_3__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ), inference(conclusion,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,e1_1_3__bvfunc24])],[e54_1_3__bvfunc24,i3_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,i2_1_3__bvfunc24),[file(bvfunc24,i2_1_3__bvfunc24)]]). fof(i1_1_3__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) & ~ r2_hidden(c1_1_3__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c1_1_3__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[e1_1_3__bvfunc24])],[e1_1_3__bvfunc24,i2_1_3__bvfunc24]), [interesting(0.65),file(bvfunc24,i1_1_3__bvfunc24),[file(bvfunc24,i1_1_3__bvfunc24)]]). fof(i1_1_3_tmp__bvfunc24,plain,( ~ ( r2_hidden(c1_1_3__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24)) & ~ r2_hidden(c1_1_3__bvfunc24,k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[dt_c1_1_3__bvfunc24])],[dt_c1_1_3__bvfunc24,i1_1_3__bvfunc24]), [interesting(0.8),e13_1__bvfunc24]). fof(e13_1__bvfunc24,plain,( r1_tarski(k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24),k2_bvfunc_2(c1_1__bvfunc24,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc24),c2_1__bvfunc24,k4_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24)))) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[i1_1_3_tmp__bvfunc24,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_partit1,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_bvfunc_2,dt_k2_partit1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,d3_tarski,dh_c1_1_3__bvfunc24]), [interesting(0.8),file(bvfunc24,e13_1__bvfunc24),[file(bvfunc24,e13_1__bvfunc24)]]). fof(e15_1__bvfunc24,plain,( k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_partit1,reflexivity_r1_tarski,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_bvfunc_2,dt_k2_partit1,dt_k4_bvfunc_2,dt_k5_bvfunc_2,dt_k6_subset_1,dt_c1_1__bvfunc24,dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24,t3_subset,e14_1__bvfunc24,e2_1__bvfunc24,e13_1__bvfunc24,d10_xboole_0]), [interesting(0.8),file(bvfunc24,e15_1__bvfunc24),[file(bvfunc24,e15_1__bvfunc24)]]). fof(i11_1__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i11_1__bvfunc24)]), [interesting(0.8),trivial,file(bvfunc24,i11_1__bvfunc24)]). fof(i10_1__bvfunc24,plain,( k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24) ), inference(conclusion,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,e1_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24])],[e15_1__bvfunc24,i11_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i10_1__bvfunc24),[file(bvfunc24,i10_1__bvfunc24)]]). fof(i9_1__bvfunc24,plain, ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = c9_1__bvfunc24 | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = c9_1__bvfunc24 | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = c9_1__bvfunc24 | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = c9_1__bvfunc24 | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = c9_1__bvfunc24 | c8_1__bvfunc24 = c9_1__bvfunc24 | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24,dt_c9_1__bvfunc24]),discharge_asm(discharge,[e1_1__bvfunc24])],[e1_1__bvfunc24,i10_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i9_1__bvfunc24),[file(bvfunc24,i9_1__bvfunc24)]]). fof(i9_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c9_1__bvfunc24,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,c9_1__bvfunc24) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = c9_1__bvfunc24 | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = c9_1__bvfunc24 | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = c9_1__bvfunc24 | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = c9_1__bvfunc24 | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = c9_1__bvfunc24 | c8_1__bvfunc24 = c9_1__bvfunc24 | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),c9_1__bvfunc24) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24]),discharge_asm(discharge,[dt_c9_1__bvfunc24])],[dt_c9_1__bvfunc24,i9_1__bvfunc24]), [interesting(0.8),i8_1__bvfunc24]). fof(i8_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,A) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = A | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = A | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = A | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = A | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = A | c8_1__bvfunc24 = A | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),A) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24,dt_c8_1__bvfunc24])],[i9_1_tmp__bvfunc24,dh_c9_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i8_1__bvfunc24),[file(bvfunc24,i8_1__bvfunc24)]]). fof(i8_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c8_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,c8_1__bvfunc24,A) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = c8_1__bvfunc24 | c3_1__bvfunc24 = A | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = c8_1__bvfunc24 | c4_1__bvfunc24 = A | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = c8_1__bvfunc24 | c5_1__bvfunc24 = A | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = c8_1__bvfunc24 | c6_1__bvfunc24 = A | c7_1__bvfunc24 = c8_1__bvfunc24 | c7_1__bvfunc24 = A | c8_1__bvfunc24 = A | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),c8_1__bvfunc24),A) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24]),discharge_asm(discharge,[dt_c8_1__bvfunc24])],[dt_c8_1__bvfunc24,i8_1__bvfunc24]), [interesting(0.8),i7_1__bvfunc24]). fof(i7_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,A,B) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = A | c6_1__bvfunc24 = B | c7_1__bvfunc24 = A | c7_1__bvfunc24 = B | A = B | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),A),B) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24,dt_c7_1__bvfunc24])],[i8_1_tmp__bvfunc24,dh_c8_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i7_1__bvfunc24),[file(bvfunc24,i7_1__bvfunc24)]]). fof(i7_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c7_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,c7_1__bvfunc24,A,B) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = c7_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = c7_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = c7_1__bvfunc24 | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c6_1__bvfunc24 = c7_1__bvfunc24 | c6_1__bvfunc24 = A | c6_1__bvfunc24 = B | c7_1__bvfunc24 = A | c7_1__bvfunc24 = B | A = B | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),c7_1__bvfunc24),A),B) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24]),discharge_asm(discharge,[dt_c7_1__bvfunc24])],[dt_c7_1__bvfunc24,i7_1__bvfunc24]), [interesting(0.8),i6_1__bvfunc24]). fof(i6_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,A,B,C) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c6_1__bvfunc24 = A | c6_1__bvfunc24 = B | c6_1__bvfunc24 = C | A = B | A = C | B = C | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),A),B),C) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24,dt_c6_1__bvfunc24])],[i7_1_tmp__bvfunc24,dh_c7_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i6_1__bvfunc24),[file(bvfunc24,i6_1__bvfunc24)]]). fof(i6_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c6_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,c6_1__bvfunc24,A,B,C) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = c6_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = c6_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c5_1__bvfunc24 = c6_1__bvfunc24 | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c6_1__bvfunc24 = A | c6_1__bvfunc24 = B | c6_1__bvfunc24 = C | A = B | A = C | B = C | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),c6_1__bvfunc24),A),B),C) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24]),discharge_asm(discharge,[dt_c6_1__bvfunc24])],[dt_c6_1__bvfunc24,i6_1__bvfunc24]), [interesting(0.8),i5_1__bvfunc24]). fof(i5_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,A,B,C,D) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c5_1__bvfunc24 = D | A = B | A = C | A = D | B = C | B = D | C = D | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),A),B),C),D) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24,dt_c5_1__bvfunc24])],[i6_1_tmp__bvfunc24,dh_c6_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i5_1__bvfunc24),[file(bvfunc24,i5_1__bvfunc24)]]). fof(i5_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c5_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24,A,B,C,D) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = c5_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c4_1__bvfunc24 = c5_1__bvfunc24 | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c5_1__bvfunc24 = A | c5_1__bvfunc24 = B | c5_1__bvfunc24 = C | c5_1__bvfunc24 = D | A = B | A = C | A = D | B = C | B = D | C = D | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,c5_1__bvfunc24),A),B),C),D) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24]),discharge_asm(discharge,[dt_c5_1__bvfunc24])],[dt_c5_1__bvfunc24,i5_1__bvfunc24]), [interesting(0.8),i4_1__bvfunc24]). fof(i4_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,A,B,C,D,E) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c4_1__bvfunc24 = E | A = B | A = C | A = D | A = E | B = C | B = D | B = E | C = D | C = E | D = E | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,A),B),C),D),E) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24,dt_c4_1__bvfunc24])],[i5_1_tmp__bvfunc24,dh_c5_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i4_1__bvfunc24),[file(bvfunc24,i4_1__bvfunc24)]]). fof(i4_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c4_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,c4_1__bvfunc24,A,B,C,D,E) => ( c3_1__bvfunc24 = c4_1__bvfunc24 | c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c4_1__bvfunc24 = A | c4_1__bvfunc24 = B | c4_1__bvfunc24 = C | c4_1__bvfunc24 = D | c4_1__bvfunc24 = E | A = B | A = C | A = D | A = E | B = C | B = D | B = E | C = D | C = E | D = E | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,c4_1__bvfunc24,A),B),C),D),E) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24]),discharge_asm(discharge,[dt_c4_1__bvfunc24])],[dt_c4_1__bvfunc24,i4_1__bvfunc24]), [interesting(0.8),i3_1__bvfunc24]). fof(i3_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,A,B,C,D,E,F) => ( c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c3_1__bvfunc24 = F | A = B | A = C | A = D | A = E | A = F | B = C | B = D | B = E | B = F | C = D | C = E | C = F | D = E | D = F | E = F | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,A,B),C),D),E),F) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c3_1__bvfunc24,dt_c1_1__bvfunc24])],[i4_1_tmp__bvfunc24,dh_c4_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i3_1__bvfunc24),[file(bvfunc24,i3_1__bvfunc24)]]). fof(i3_1_tmp__bvfunc24,plain, ( m1_eqrel_1(c3_1__bvfunc24,c1_1__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(c3_1__bvfunc24,A,B,C,D,E,F) => ( c3_1__bvfunc24 = A | c3_1__bvfunc24 = B | c3_1__bvfunc24 = C | c3_1__bvfunc24 = D | c3_1__bvfunc24 = E | c3_1__bvfunc24 = F | A = B | A = C | A = D | A = E | A = F | B = C | B = D | B = E | B = F | C = D | C = E | C = F | D = E | D = F | E = F | k5_bvfunc_2(c1_1__bvfunc24,c3_1__bvfunc24,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,A,B),C),D),E),F) ) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c1_1__bvfunc24]),discharge_asm(discharge,[dt_c3_1__bvfunc24])],[dt_c3_1__bvfunc24,i3_1__bvfunc24]), [interesting(0.8),i2_1__bvfunc24]). fof(i2_1__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(A,B,C,D,E,F,G) => ( A = B | A = C | A = D | A = E | A = F | A = G | B = C | B = D | B = E | B = F | B = G | C = D | C = E | C = F | C = G | D = E | D = F | D = G | E = F | E = G | F = G | k5_bvfunc_2(c1_1__bvfunc24,A,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,B,C),D),E),F),G) ) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_1__bvfunc24,dt_c1_1__bvfunc24])],[i3_1_tmp__bvfunc24,dh_c3_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i2_1__bvfunc24),[file(bvfunc24,i2_1__bvfunc24)]]). fof(i2_1_tmp__bvfunc24,plain, ( m1_subset_1(c2_1__bvfunc24,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) => ! [A] : ( m1_eqrel_1(A,c1_1__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ( c2_1__bvfunc24 = k5_enumset1(A,B,C,D,E,F,G) => ( A = B | A = C | A = D | A = E | A = F | A = G | B = C | B = D | B = E | B = F | B = G | C = D | C = E | C = F | C = G | D = E | D = F | D = G | E = F | E = G | F = G | k5_bvfunc_2(c1_1__bvfunc24,A,c2_1__bvfunc24) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,B,C),D),E),F),G) ) ) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc24]),discharge_asm(discharge,[dt_c2_1__bvfunc24])],[dt_c2_1__bvfunc24,i2_1__bvfunc24]), [interesting(0.8),i1_1__bvfunc24]). fof(i1_1__bvfunc24,plain,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_1__bvfunc24) => ( A = k5_enumset1(B,C,D,E,F,G,H) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = D | C = E | C = F | C = G | C = H | D = E | D = F | D = G | D = H | E = F | E = G | E = H | F = G | F = H | G = H | k5_bvfunc_2(c1_1__bvfunc24,B,A) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,C,D),E),F),G),H) ) ) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c1_1__bvfunc24])],[i2_1_tmp__bvfunc24,dh_c2_1__bvfunc24]), [interesting(0.8),file(bvfunc24,i1_1__bvfunc24),[file(bvfunc24,i1_1__bvfunc24)]]). fof(i1_1_tmp__bvfunc24,plain, ( ~ v1_xboole_0(c1_1__bvfunc24) => ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc24))) => ! [B] : ( m1_eqrel_1(B,c1_1__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_1__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_1__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_1__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_1__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_1__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_1__bvfunc24) => ( A = k5_enumset1(B,C,D,E,F,G,H) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = D | C = E | C = F | C = G | C = H | D = E | D = F | D = G | D = H | E = F | E = G | E = H | F = G | F = H | G = H | k5_bvfunc_2(c1_1__bvfunc24,B,A) = k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,k2_partit1(c1_1__bvfunc24,C,D),E),F),G),H) ) ) ) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_1__bvfunc24])],[dt_c1_1__bvfunc24,i1_1__bvfunc24]), [interesting(1),t1_bvfunc24]). fof(t1_bvfunc24,theorem,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) => ! [C] : ( m1_eqrel_1(C,A) => ! [D] : ( m1_eqrel_1(D,A) => ! [E] : ( m1_eqrel_1(E,A) => ! [F] : ( m1_eqrel_1(F,A) => ! [G] : ( m1_eqrel_1(G,A) => ! [H] : ( m1_eqrel_1(H,A) => ! [I] : ( m1_eqrel_1(I,A) => ( B = k5_enumset1(C,D,E,F,G,H,I) => ( C = D | C = E | C = F | C = G | C = H | C = I | D = E | D = F | D = G | D = H | D = I | E = F | E = G | E = H | E = I | F = G | F = H | F = I | G = H | G = I | H = I | k5_bvfunc_2(A,C,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,D,E),F),G),H),I) ) ) ) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([])],[i1_1_tmp__bvfunc24,dh_c1_1__bvfunc24]), [interesting(1),file(bvfunc24,t1_bvfunc24),[file(bvfunc24,t1_bvfunc24)]]).