% Mizar ND problem: t3_bvfunc24,bvfunc24,356,19 fof(dh_c1_3__bvfunc24,definition, ( ( ~ v1_xboole_0(c1_3__bvfunc24) => ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_3__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_3__bvfunc24,D,A) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,B,C),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,M,J) = k2_partit1(I,k2_partit1(I,k2_partit1(I,k2_partit1(I,k2_partit1(I,K,L),N),O),P),Q) ) ) ) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c1_3__bvfunc24),file(bvfunc24,c1_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c1_3__bvfunc24)]). fof(dh_c2_3__bvfunc24,definition, ( ( m1_subset_1(c2_3__bvfunc24,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ( c2_3__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_3__bvfunc24,C,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,A,B),D),E),F),G) ) ) ) ) ) ) ) ) ) ) => ! [H] : ( m1_subset_1(H,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) => ! [I] : ( m1_eqrel_1(I,c1_3__bvfunc24) => ! [J] : ( m1_eqrel_1(J,c1_3__bvfunc24) => ! [K] : ( m1_eqrel_1(K,c1_3__bvfunc24) => ! [L] : ( m1_eqrel_1(L,c1_3__bvfunc24) => ! [M] : ( m1_eqrel_1(M,c1_3__bvfunc24) => ! [N] : ( m1_eqrel_1(N,c1_3__bvfunc24) => ! [O] : ( m1_eqrel_1(O,c1_3__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_3__bvfunc24,K,H) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,I,J),L),M),N),O) ) ) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c2_3__bvfunc24),file(bvfunc24,c2_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c2_3__bvfunc24)]). fof(dh_c3_3__bvfunc24,definition, ( ( m1_eqrel_1(c3_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,A,B,C,D,E,F) => ( c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c3_3__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_3__bvfunc24,B,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,A),C),D),E),F) ) ) ) ) ) ) ) ) ) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_3__bvfunc24) => ! [I] : ( m1_eqrel_1(I,c1_3__bvfunc24) => ! [J] : ( m1_eqrel_1(J,c1_3__bvfunc24) => ! [K] : ( m1_eqrel_1(K,c1_3__bvfunc24) => ! [L] : ( m1_eqrel_1(L,c1_3__bvfunc24) => ! [M] : ( m1_eqrel_1(M,c1_3__bvfunc24) => ( c2_3__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_3__bvfunc24,I,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,G,H),J),K),L),M) ) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c3_3__bvfunc24),file(bvfunc24,c3_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c3_3__bvfunc24)]). fof(dh_c4_3__bvfunc24,definition, ( ( m1_eqrel_1(c4_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,A,B,C,D,E) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c4_3__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_3__bvfunc24,A,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),B),C),D),E) ) ) ) ) ) ) ) ) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_3__bvfunc24) => ! [I] : ( m1_eqrel_1(I,c1_3__bvfunc24) => ! [J] : ( m1_eqrel_1(J,c1_3__bvfunc24) => ! [K] : ( m1_eqrel_1(K,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,F,G,H,I,J,K) => ( c3_3__bvfunc24 = F | c3_3__bvfunc24 = G | c3_3__bvfunc24 = H | c3_3__bvfunc24 = I | c3_3__bvfunc24 = J | c3_3__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_3__bvfunc24,G,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,F),H),I),J),K) ) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c4_3__bvfunc24),file(bvfunc24,c4_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c4_3__bvfunc24)]). fof(dh_c5_3__bvfunc24,definition, ( ( m1_eqrel_1(c5_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,A,B,C,D) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c5_3__bvfunc24 = D | A = B | A = C | A = D | B = C | B = D | C = D | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),A),B),C),D) ) ) ) ) ) ) ) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_3__bvfunc24) => ! [I] : ( m1_eqrel_1(I,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,E,F,G,H,I) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = E | c3_3__bvfunc24 = F | c3_3__bvfunc24 = G | c3_3__bvfunc24 = H | c3_3__bvfunc24 = I | c4_3__bvfunc24 = E | c4_3__bvfunc24 = F | c4_3__bvfunc24 = G | c4_3__bvfunc24 = H | c4_3__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_3__bvfunc24,E,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),F),G),H),I) ) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c5_3__bvfunc24),file(bvfunc24,c5_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c5_3__bvfunc24)]). fof(dh_c6_3__bvfunc24,definition, ( ( m1_eqrel_1(c6_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,A,B,C) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c6_3__bvfunc24 = A | c6_3__bvfunc24 = B | c6_3__bvfunc24 = C | A = B | A = C | B = C | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),A),B),C) ) ) ) ) ) ) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,D,E,F,G) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c3_3__bvfunc24 = F | c3_3__bvfunc24 = G | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = D | c4_3__bvfunc24 = E | c4_3__bvfunc24 = F | c4_3__bvfunc24 = G | c5_3__bvfunc24 = D | c5_3__bvfunc24 = E | c5_3__bvfunc24 = F | c5_3__bvfunc24 = G | D = E | D = F | D = G | E = F | E = G | F = G | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),D),E),F),G) ) ) ) ) ) ) ), introduced(definition,[new_symbol(c6_3__bvfunc24),file(bvfunc24,c6_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c6_3__bvfunc24)]). fof(dh_c7_3__bvfunc24,definition, ( ( m1_eqrel_1(c7_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,A,B) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = A | c6_3__bvfunc24 = B | c7_3__bvfunc24 = A | c7_3__bvfunc24 = B | A = B | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),A),B) ) ) ) ) ) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,C,D,E) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c4_3__bvfunc24 = E | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = C | c5_3__bvfunc24 = D | c5_3__bvfunc24 = E | c6_3__bvfunc24 = C | c6_3__bvfunc24 = D | c6_3__bvfunc24 = E | C = D | C = E | D = E | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),C),D),E) ) ) ) ) ) ), introduced(definition,[new_symbol(c7_3__bvfunc24),file(bvfunc24,c7_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c7_3__bvfunc24)]). fof(dh_c8_3__bvfunc24,definition, ( ( m1_eqrel_1(c8_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,A) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = A | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = A | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = A | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = A | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = A | c8_3__bvfunc24 = A | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),A) ) ) ) ) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,B,C) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = B | c6_3__bvfunc24 = C | c7_3__bvfunc24 = B | c7_3__bvfunc24 = C | B = C | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),B),C) ) ) ) ) ), introduced(definition,[new_symbol(c8_3__bvfunc24),file(bvfunc24,c8_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c8_3__bvfunc24)]). fof(dh_c9_3__bvfunc24,definition, ( ( m1_eqrel_1(c9_3__bvfunc24,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = c9_3__bvfunc24 | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = c9_3__bvfunc24 | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = c9_3__bvfunc24 | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = c9_3__bvfunc24 | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = c9_3__bvfunc24 | c8_3__bvfunc24 = c9_3__bvfunc24 | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),c9_3__bvfunc24) ) ) ) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,A) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = A | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = A | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = A | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = A | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = A | c8_3__bvfunc24 = A | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),A) ) ) ) ), introduced(definition,[new_symbol(c9_3__bvfunc24),file(bvfunc24,c9_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c9_3__bvfunc24)]). fof(reflexivity_r1_tarski,theorem,( ! [A,B] : r1_tarski(A,A) ), file(tarski,r1_tarski), [interesting(0.9),axiom,file(tarski,r1_tarski)]). 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(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_xboole_0,axiom,( $true ), file(xboole_0,k1_xboole_0), [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]). fof(dt_m1_t_1topsp,axiom,( $true ), file(t_1topsp,m1_t_1topsp), [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]). 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(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(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(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(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(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_k1_zfmisc_1,axiom,( $true ), file(zfmisc_1,k1_zfmisc_1), [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]). 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_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_k5_enumset1,axiom,( $true ), file(enumset1,k5_enumset1), [interesting(0.9),axiom,file(enumset1,k5_enumset1)]). 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_c1_3__bvfunc24,assumption,( ~ v1_xboole_0(c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c1_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c1_3__bvfunc24)]). fof(dt_c2_3__bvfunc24,assumption,( m1_subset_1(c2_3__bvfunc24,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) ), introduced(assumption,[file(bvfunc24,c2_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c2_3__bvfunc24)]). fof(dt_c3_3__bvfunc24,assumption,( m1_eqrel_1(c3_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c3_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c3_3__bvfunc24)]). fof(dt_c4_3__bvfunc24,assumption,( m1_eqrel_1(c4_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c4_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c4_3__bvfunc24)]). fof(dt_c5_3__bvfunc24,assumption,( m1_eqrel_1(c5_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c5_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c5_3__bvfunc24)]). fof(dt_c6_3__bvfunc24,assumption,( m1_eqrel_1(c6_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c6_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c6_3__bvfunc24)]). fof(dt_c7_3__bvfunc24,assumption,( m1_eqrel_1(c7_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c7_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c7_3__bvfunc24)]). fof(dt_c8_3__bvfunc24,assumption,( m1_eqrel_1(c8_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c8_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c8_3__bvfunc24)]). fof(dt_c9_3__bvfunc24,assumption,( m1_eqrel_1(c9_3__bvfunc24,c1_3__bvfunc24) ), introduced(assumption,[file(bvfunc24,c9_3__bvfunc24)]), [interesting(0.8),axiom,file(bvfunc24,c9_3__bvfunc24)]). 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(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(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(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(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(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_k1_enumset1,axiom,( $true ), file(enumset1,k1_enumset1), [interesting(0.9),axiom,file(enumset1,k1_enumset1)]). fof(dt_k2_enumset1,axiom,( $true ), file(enumset1,k2_enumset1), [interesting(0.9),axiom,file(enumset1,k2_enumset1)]). fof(dt_k2_xboole_0,axiom,( $true ), file(xboole_0,k2_xboole_0), [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]). fof(t58_enumset1,theorem,( ! [A,B,C,D,E,F,G] : k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G)) ), file(enumset1,t58_enumset1), [interesting(0.9),axiom,file(enumset1,t58_enumset1)]). fof(e1_3_1__bvfunc24,plain,( k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) = k2_xboole_0(k1_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_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,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_3__bvfunc24,cc2_eqrel_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_enumset1,dt_k2_enumset1,dt_k2_xboole_0,dt_k5_enumset1,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24,t58_enumset1]), [interesting(0.65),file(bvfunc24,e1_3_1__bvfunc24),[file(bvfunc24,e1_3_1__bvfunc24)]]). 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(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(dt_k1_tarski,axiom,( $true ), file(tarski,k1_tarski), [interesting(0.9),axiom,file(tarski,k1_tarski)]). fof(dt_k2_tarski,axiom,( $true ), file(tarski,k2_tarski), [interesting(0.9),axiom,file(tarski,k2_tarski)]). 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(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(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(t42_enumset1,theorem,( ! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k1_tarski(A),k2_tarski(B,C)) ), file(enumset1,t42_enumset1), [interesting(0.9),axiom,file(enumset1,t42_enumset1)]). fof(e2_3_1__bvfunc24,plain,( k2_xboole_0(k1_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) = k2_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_3__bvfunc24,c3_3__bvfunc24),k2_tarski(c4_3__bvfunc24,c5_3__bvfunc24)),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__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_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24,fc2_subset_1,fc3_subset_1,t42_enumset1]), [interesting(0.65),file(bvfunc24,e2_3_1__bvfunc24),[file(bvfunc24,e2_3_1__bvfunc24)]]). fof(e3_3_1__bvfunc24,plain,( k2_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_3__bvfunc24,c3_3__bvfunc24),k2_tarski(c4_3__bvfunc24,c5_3__bvfunc24)),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) = k2_xboole_0(k1_enumset1(c3_3__bvfunc24,c5_3__bvfunc24,c4_3__bvfunc24),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__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_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24,fc2_subset_1,fc3_subset_1,t42_enumset1]), [interesting(0.65),file(bvfunc24,e3_3_1__bvfunc24),[file(bvfunc24,e3_3_1__bvfunc24)]]). fof(t43_enumset1,theorem,( ! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k2_tarski(A,B),k1_tarski(C)) ), file(enumset1,t43_enumset1), [interesting(0.9),axiom,file(enumset1,t43_enumset1)]). fof(e4_3_1__bvfunc24,plain,( k2_xboole_0(k1_enumset1(c3_3__bvfunc24,c5_3__bvfunc24,c4_3__bvfunc24),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) = k2_xboole_0(k2_xboole_0(k2_tarski(c3_3__bvfunc24,c5_3__bvfunc24),k4_bvfunc_2(c1_3__bvfunc24,c4_3__bvfunc24)),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__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_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24,fc2_subset_1,fc3_subset_1,t43_enumset1]), [interesting(0.65),file(bvfunc24,e4_3_1__bvfunc24),[file(bvfunc24,e4_3_1__bvfunc24)]]). fof(e5_3_1__bvfunc24,plain,( k2_xboole_0(k2_xboole_0(k2_tarski(c3_3__bvfunc24,c5_3__bvfunc24),k4_bvfunc_2(c1_3__bvfunc24,c4_3__bvfunc24)),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) = k2_xboole_0(k1_enumset1(c5_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) ), inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__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_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24,fc2_subset_1,fc3_subset_1,t43_enumset1]), [interesting(0.65),file(bvfunc24,e5_3_1__bvfunc24),[file(bvfunc24,e5_3_1__bvfunc24)]]). fof(e6_3_1__bvfunc24,plain,( k2_xboole_0(k1_enumset1(c5_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),k2_enumset1(c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24)) = k5_enumset1(c5_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) ), inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_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,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_3__bvfunc24,cc2_eqrel_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_enumset1,dt_k2_enumset1,dt_k2_xboole_0,dt_k5_enumset1,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24,t58_enumset1]), [interesting(0.65),file(bvfunc24,e6_3_1__bvfunc24),[file(bvfunc24,e6_3_1__bvfunc24)]]). fof(e1_3__bvfunc24,plain,( k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) = k5_enumset1(c5_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) ), inference(iterative_eq,[status(thm),assumptions([dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24])],[e1_3_1__bvfunc24,e2_3_1__bvfunc24,e3_3_1__bvfunc24,e4_3_1__bvfunc24,e5_3_1__bvfunc24,e6_3_1__bvfunc24]), [interesting(0.8),file(bvfunc24,e1_3__bvfunc24),[file(bvfunc24,e1_3__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) ) ) ) ) ) ) ) ) ) ) ) ), file(bvfunc24,t1_bvfunc24), [interesting(0.9),axiom,file(bvfunc24,t1_bvfunc24)]). fof(e2_3__bvfunc24,plain, ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = c9_3__bvfunc24 | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = c9_3__bvfunc24 | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = c9_3__bvfunc24 | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = c9_3__bvfunc24 | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = c9_3__bvfunc24 | c8_3__bvfunc24 = c9_3__bvfunc24 | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),c9_3__bvfunc24) ) ), inference(mizar_by,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__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_subset,t4_subset,t5_subset,commutativity_k2_partit1,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_k2_partit1,dt_k5_bvfunc_2,dt_k5_enumset1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_3__bvfunc24,dt_c2_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__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,e1_3__bvfunc24,t1_bvfunc24]), [interesting(0.8),file(bvfunc24,e2_3__bvfunc24),[file(bvfunc24,e2_3__bvfunc24)]]). fof(i10_3__bvfunc24,theorem,( $true ), introduced(tautology,[file(bvfunc24,i10_3__bvfunc24)]), [interesting(0.8),trivial,file(bvfunc24,i10_3__bvfunc24)]). fof(i9_3__bvfunc24,plain, ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = c9_3__bvfunc24 | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = c9_3__bvfunc24 | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = c9_3__bvfunc24 | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = c9_3__bvfunc24 | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = c9_3__bvfunc24 | c8_3__bvfunc24 = c9_3__bvfunc24 | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),c9_3__bvfunc24) ) ), inference(conclusion,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24,dt_c9_3__bvfunc24])],[e2_3__bvfunc24,i10_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i9_3__bvfunc24),[file(bvfunc24,i9_3__bvfunc24)]]). fof(i9_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c9_3__bvfunc24,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,c9_3__bvfunc24) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = c9_3__bvfunc24 | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = c9_3__bvfunc24 | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = c9_3__bvfunc24 | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = c9_3__bvfunc24 | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = c9_3__bvfunc24 | c8_3__bvfunc24 = c9_3__bvfunc24 | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),c9_3__bvfunc24) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24]),discharge_asm(discharge,[dt_c9_3__bvfunc24])],[dt_c9_3__bvfunc24,i9_3__bvfunc24]), [interesting(0.8),i8_3__bvfunc24]). fof(i8_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,A) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = A | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = A | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = A | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = A | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = A | c8_3__bvfunc24 = A | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),A) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24,dt_c8_3__bvfunc24])],[i9_3_tmp__bvfunc24,dh_c9_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i8_3__bvfunc24),[file(bvfunc24,i8_3__bvfunc24)]]). fof(i8_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c8_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,c8_3__bvfunc24,A) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = c8_3__bvfunc24 | c3_3__bvfunc24 = A | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = c8_3__bvfunc24 | c4_3__bvfunc24 = A | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = c8_3__bvfunc24 | c5_3__bvfunc24 = A | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = c8_3__bvfunc24 | c6_3__bvfunc24 = A | c7_3__bvfunc24 = c8_3__bvfunc24 | c7_3__bvfunc24 = A | c8_3__bvfunc24 = A | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),c8_3__bvfunc24),A) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24]),discharge_asm(discharge,[dt_c8_3__bvfunc24])],[dt_c8_3__bvfunc24,i8_3__bvfunc24]), [interesting(0.8),i7_3__bvfunc24]). fof(i7_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,A,B) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = A | c6_3__bvfunc24 = B | c7_3__bvfunc24 = A | c7_3__bvfunc24 = B | A = B | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),A),B) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24,dt_c7_3__bvfunc24])],[i8_3_tmp__bvfunc24,dh_c8_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i7_3__bvfunc24),[file(bvfunc24,i7_3__bvfunc24)]]). fof(i7_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c7_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,c7_3__bvfunc24,A,B) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = c7_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = c7_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = c7_3__bvfunc24 | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c6_3__bvfunc24 = c7_3__bvfunc24 | c6_3__bvfunc24 = A | c6_3__bvfunc24 = B | c7_3__bvfunc24 = A | c7_3__bvfunc24 = B | A = B | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),c7_3__bvfunc24),A),B) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24]),discharge_asm(discharge,[dt_c7_3__bvfunc24])],[dt_c7_3__bvfunc24,i7_3__bvfunc24]), [interesting(0.8),i6_3__bvfunc24]). fof(i6_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,A,B,C) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c6_3__bvfunc24 = A | c6_3__bvfunc24 = B | c6_3__bvfunc24 = C | A = B | A = C | B = C | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),A),B),C) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24,dt_c6_3__bvfunc24])],[i7_3_tmp__bvfunc24,dh_c7_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i6_3__bvfunc24),[file(bvfunc24,i6_3__bvfunc24)]]). fof(i6_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c6_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,c6_3__bvfunc24,A,B,C) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = c6_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = c6_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c5_3__bvfunc24 = c6_3__bvfunc24 | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c6_3__bvfunc24 = A | c6_3__bvfunc24 = B | c6_3__bvfunc24 = C | A = B | A = C | B = C | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),c6_3__bvfunc24),A),B),C) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24]),discharge_asm(discharge,[dt_c6_3__bvfunc24])],[dt_c6_3__bvfunc24,i6_3__bvfunc24]), [interesting(0.8),i5_3__bvfunc24]). fof(i5_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,A,B,C,D) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c5_3__bvfunc24 = D | A = B | A = C | A = D | B = C | B = D | C = D | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),A),B),C),D) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24,dt_c5_3__bvfunc24])],[i6_3_tmp__bvfunc24,dh_c6_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i5_3__bvfunc24),[file(bvfunc24,i5_3__bvfunc24)]]). fof(i5_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c5_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,c5_3__bvfunc24,A,B,C,D) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = c5_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c4_3__bvfunc24 = c5_3__bvfunc24 | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c5_3__bvfunc24 = A | c5_3__bvfunc24 = B | c5_3__bvfunc24 = C | c5_3__bvfunc24 = D | A = B | A = C | A = D | B = C | B = D | C = D | k5_bvfunc_2(c1_3__bvfunc24,c5_3__bvfunc24,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),A),B),C),D) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24]),discharge_asm(discharge,[dt_c5_3__bvfunc24])],[dt_c5_3__bvfunc24,i5_3__bvfunc24]), [interesting(0.8),i4_3__bvfunc24]). fof(i4_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,A,B,C,D,E) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c4_3__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_3__bvfunc24,A,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),B),C),D),E) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24,dt_c4_3__bvfunc24])],[i5_3_tmp__bvfunc24,dh_c5_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i4_3__bvfunc24),[file(bvfunc24,i4_3__bvfunc24)]]). fof(i4_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c4_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,c4_3__bvfunc24,A,B,C,D,E) => ( c3_3__bvfunc24 = c4_3__bvfunc24 | c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c4_3__bvfunc24 = A | c4_3__bvfunc24 = B | c4_3__bvfunc24 = C | c4_3__bvfunc24 = D | c4_3__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_3__bvfunc24,A,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,c4_3__bvfunc24),B),C),D),E) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24]),discharge_asm(discharge,[dt_c4_3__bvfunc24])],[dt_c4_3__bvfunc24,i4_3__bvfunc24]), [interesting(0.8),i3_3__bvfunc24]). fof(i3_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,A,B,C,D,E,F) => ( c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c3_3__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_3__bvfunc24,B,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,A),C),D),E),F) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24,dt_c3_3__bvfunc24])],[i4_3_tmp__bvfunc24,dh_c4_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i3_3__bvfunc24),[file(bvfunc24,i3_3__bvfunc24)]]). fof(i3_3_tmp__bvfunc24,plain, ( m1_eqrel_1(c3_3__bvfunc24,c1_3__bvfunc24) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ( c2_3__bvfunc24 = k5_enumset1(c3_3__bvfunc24,A,B,C,D,E,F) => ( c3_3__bvfunc24 = A | c3_3__bvfunc24 = B | c3_3__bvfunc24 = C | c3_3__bvfunc24 = D | c3_3__bvfunc24 = E | c3_3__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_3__bvfunc24,B,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,c3_3__bvfunc24,A),C),D),E),F) ) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24]),discharge_asm(discharge,[dt_c3_3__bvfunc24])],[dt_c3_3__bvfunc24,i3_3__bvfunc24]), [interesting(0.8),i2_3__bvfunc24]). fof(i2_3__bvfunc24,plain,( ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ( c2_3__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_3__bvfunc24,C,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,A,B),D),E),F),G) ) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c2_3__bvfunc24,dt_c1_3__bvfunc24])],[i3_3_tmp__bvfunc24,dh_c3_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i2_3__bvfunc24),[file(bvfunc24,i2_3__bvfunc24)]]). fof(i2_3_tmp__bvfunc24,plain, ( m1_subset_1(c2_3__bvfunc24,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) => ! [A] : ( m1_eqrel_1(A,c1_3__bvfunc24) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ( c2_3__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_3__bvfunc24,C,c2_3__bvfunc24) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,A,B),D),E),F),G) ) ) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([dt_c1_3__bvfunc24]),discharge_asm(discharge,[dt_c2_3__bvfunc24])],[dt_c2_3__bvfunc24,i2_3__bvfunc24]), [interesting(0.8),i1_3__bvfunc24]). fof(i1_3__bvfunc24,plain,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_3__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_3__bvfunc24,D,A) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,B,C),E),F),G),H) ) ) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([dt_c1_3__bvfunc24])],[i2_3_tmp__bvfunc24,dh_c2_3__bvfunc24]), [interesting(0.8),file(bvfunc24,i1_3__bvfunc24),[file(bvfunc24,i1_3__bvfunc24)]]). fof(i1_3_tmp__bvfunc24,plain, ( ~ v1_xboole_0(c1_3__bvfunc24) => ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc24))) => ! [B] : ( m1_eqrel_1(B,c1_3__bvfunc24) => ! [C] : ( m1_eqrel_1(C,c1_3__bvfunc24) => ! [D] : ( m1_eqrel_1(D,c1_3__bvfunc24) => ! [E] : ( m1_eqrel_1(E,c1_3__bvfunc24) => ! [F] : ( m1_eqrel_1(F,c1_3__bvfunc24) => ! [G] : ( m1_eqrel_1(G,c1_3__bvfunc24) => ! [H] : ( m1_eqrel_1(H,c1_3__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_3__bvfunc24,D,A) = k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,k2_partit1(c1_3__bvfunc24,B,C),E),F),G),H) ) ) ) ) ) ) ) ) ) ) ), inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_3__bvfunc24])],[dt_c1_3__bvfunc24,i1_3__bvfunc24]), [interesting(1),t3_bvfunc24]). fof(t3_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,E,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,C,D),F),G),H),I) ) ) ) ) ) ) ) ) ) ) ) ), inference(let,[status(thm),assumptions([])],[i1_3_tmp__bvfunc24,dh_c1_3__bvfunc24]), [interesting(1),file(bvfunc24,t3_bvfunc24),[file(bvfunc24,t3_bvfunc24)]]).