--------------------------------------------------------------------------- WATCH: 0.00 CPU 0.01 WC SZS status Theorem for /CW/home-0/sutcliff/CASC/23/Problems/FNE/FNE063.p SZS output start CNFRefutation for /CW/home-0/sutcliff/CASC/23/Problems/FNE/FNE063.p fof(prove_this, conjecture, (! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ((~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X))) & ! [B, C] : (q1(f(B)) => ? [X, Y] : ((p1(f(Y)) => ((r1(Y) => (r1(B) & r1(C))) & p1(X))) & q1(X))) & ! [C, B] : (! [Z] : q1(f(Z)) => ? [X, Y] : ((p1(f(Y)) => p1(X)) & (r1(Y) => (r1(B) & r1(C))) & q1(X))))). fof(subgoal_0, plain, (! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C)))))))), inference(strip, [], [prove_this])). fof(subgoal_1, plain, (! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) => ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X)))), inference(strip, [], [prove_this])). fof(subgoal_2, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [X] : ? [Y] : (p1(X) & q1(Y))) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))), inference(strip, [], [prove_this])). fof(subgoal_3, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & ! [X] : ? [Y] : (a(Y, Y) & a(X, Y))) => ? [Z] : a(Z, Z)), inference(strip, [], [prove_this])). fof(subgoal_4, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z))) => ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X)))), inference(strip, [], [prove_this])). fof(subgoal_5, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X)))) => ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B))))), inference(strip, [], [prove_this])). fof(subgoal_6, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B))))) => ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A))))), inference(strip, [], [prove_this])). fof(subgoal_7, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & ? [X] : (a1(X) => b(X)) & ! [X] : a1(X)) => ? [X] : b(X)), inference(strip, [], [prove_this])). fof(subgoal_8, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & ? [X] : b(X)) => ? [X] : (b(X) | a1(X))), inference(strip, [], [prove_this])). fof(subgoal_9, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & ? [Y, X] : a(X, Y)) => ? [X, Y] : a(X, Y)), inference(strip, [], [prove_this])). fof(subgoal_10, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & ? [X, Y] : a(X, Y)) => ? [Y, X] : a(X, Y)), inference(strip, [], [prove_this])). fof(subgoal_11, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & ? [Y] : p1(Y)) => ? [X] : p1(X)), inference(strip, [], [prove_this])). fof(subgoal_12, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & ? [X] : p1(X)) => ? [Y] : p1(Y)), inference(strip, [], [prove_this])). fof(subgoal_13, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X))) => ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y)))), inference(strip, [], [prove_this])). fof(subgoal_14, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y)))) => ? [X] : ! [Y] : (p1(X) => p1(Y))), inference(strip, [], [prove_this])). fof(subgoal_15, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y))) => ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B)))), inference(strip, [], [prove_this])). fof(subgoal_16, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & ? [X] : p1(X)) => ? [Y] : p1(Y)), inference(strip, [], [prove_this])). fof(subgoal_17, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & ! [X, Y] : p(X, Y)) => ! [X] : p(X, X)), inference(strip, [], [prove_this])). fof(subgoal_18, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & ~ a0 & ~ b0 & b0) => a0), inference(strip, [], [prove_this])). fof(subgoal_19, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & ~ a0 & ~ b0 & a0) => b0), inference(strip, [], [prove_this])). fof(subgoal_20, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))), inference(strip, [], [prove_this])). fof(subgoal_21, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z)))) => ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y))))), inference(strip, [], [prove_this])). fof(subgoal_22, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y))))) => ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B))), inference(strip, [], [prove_this])). fof(subgoal_23, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & (a0 & b0) & b0) => a0), inference(strip, [], [prove_this])). fof(subgoal_24, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & (a0 & b0) & a0) => b0), inference(strip, [], [prove_this])). fof(subgoal_25, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0))) => ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A))), inference(strip, [], [prove_this])). fof(subgoal_26, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & p1(z)) => p1(z)), inference(strip, [], [prove_this])). fof(subgoal_27, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & ? [X] : ! [Y] : p(X, Y)) => ! [Y] : ? [X] : p(X, Y)), inference(strip, [], [prove_this])). fof(subgoal_28, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y))) => ? [Y] : (? [X] : p1(X) => p1(Y))), inference(strip, [], [prove_this])). fof(subgoal_29, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y))) => ! [B] : (((r1(B) & ! [X] : (p1(X) => q1(X))) & ! [Y] : (r1(Y) => p1(Y))) => q1(B))), inference(strip, [], [prove_this])). fof(subgoal_30, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B)))) => ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A))))), inference(strip, [], [prove_this])). fof(subgoal_31, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & ! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y))) => ! [A, B] : (eq(A, B) => eq(B, A))), inference(strip, [], [prove_this])). fof(subgoal_32, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & ? [X] : p1(X)) => ? [Z] : p1(Z)), inference(strip, [], [prove_this])). fof(subgoal_33, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & ! [X] : p1(X)) => ! [Y] : p1(Y)), inference(strip, [], [prove_this])). fof(subgoal_34, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & ! [X] : p1(X) & ! [Y] : p1(Y)) => ! [X] : p1(X)), inference(strip, [], [prove_this])). fof(subgoal_35, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X)))) => ! [A, B] : (! [X] : p1(X) => p1(B))), inference(strip, [], [prove_this])). fof(subgoal_36, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X)))) => ! [A, B] : ((! [X] : p1(X) & p1(B)) => p1(A))), inference(strip, [], [prove_this])). fof(subgoal_37, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))), inference(strip, [], [prove_this])). fof(subgoal_38, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X)))) => ! [Y] : ~ ! [X] : (a(X, Y) <=> ~ a(X, X))), inference(strip, [], [prove_this])). fof(subgoal_39, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & ! [X] : (a1(X) => b(X)) & ? [X] : a1(X)) => ? [X] : b(X)), inference(strip, [], [prove_this])). fof(subgoal_40, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & ! [X] : (p1(X) => q1(X)) & ! [X] : p1(X)) => ! [X] : q1(X)), inference(strip, [], [prove_this])). fof(subgoal_41, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & ! [X] : p1(X)) => ? [Y] : p1(Y)), inference(strip, [], [prove_this])). fof(subgoal_42, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & ? [X] : p1(X) & a0 & ~ b0) => ~ b0), inference(strip, [], [prove_this])). fof(subgoal_43, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & ? [X] : p1(X) & a0 & (b0 | ~ b0) & q0) => q0), inference(strip, [], [prove_this])). fof(subgoal_44, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & ? [X] : p1(X) & (a0 => ((b0 | ~ b0) & (q0 => q0)))) => ? [X] : p1(X)), inference(strip, [], [prove_this])). fof(subgoal_45, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))), inference(strip, [], [prove_this])). fof(subgoal_46, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & ! [X] : p1(X)) => ! [A, B] : p1(A)), inference(strip, [], [prove_this])). fof(subgoal_47, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & ! [X] : p1(X)) => ! [A, B] : (p1(A) => p1(B))), inference(strip, [], [prove_this])). fof(subgoal_48, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B)))) => ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4))))), inference(strip, [], [prove_this])). fof(subgoal_49, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X))), inference(strip, [], [prove_this])). fof(subgoal_50, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ((~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X)))) => ! [B, C] : (q1(f(B)) => ? [X, Y] : ((p1(f(Y)) => ((r1(Y) => (r1(B) & r1(C))) & p1(X))) & q1(X)))), inference(strip, [], [prove_this])). fof(subgoal_51, plain, ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ((~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X))) & ! [B, C] : (q1(f(B)) => ? [X, Y] : ((p1(f(Y)) => ((r1(Y) => (r1(B) & r1(C))) & p1(X))) & q1(X)))) => ! [C, B] : (! [Z] : q1(f(Z)) => ? [X, Y] : ((p1(f(Y)) => p1(X)) & (r1(Y) => (r1(B) & r1(C))) & q1(X)))), inference(strip, [], [prove_this])). fof(negate_0_0, plain, (~ ! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C)))))))), inference(negate, [], [subgoal_0])). fof(normalize_0_0, plain, (? [B, C] : ! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(B) | ~ r1(C)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y)))) & ! [Z] : q1(f(Z))), inference(canonicalize, [], [negate_0_0])). fof(normalize_0_1, plain, (! [Z] : q1(f(Z))), inference(conjunct, [], [normalize_0_0])). fof(normalize_0_2, plain, (! [Z] : q1(f(Z))), inference(specialize, [], [normalize_0_1])). fof(normalize_0_3, plain, (? [B, C] : ! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(B) | ~ r1(C)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(conjunct, [], [normalize_0_0])). fof(normalize_0_4, plain, (! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(skolemFOFtoCNF_B) | ~ r1(skolemFOFtoCNF_C)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(skolemize, [], [normalize_0_3])). fof(normalize_0_5, plain, (! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(skolemFOFtoCNF_B) | ~ r1(skolemFOFtoCNF_C)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(specialize, [], [normalize_0_4])). fof(normalize_0_6, plain, (! [X, Y] : ((~ q1(X) | p1(f(Y))) & (~ p1(X) | ~ q1(X) | r1(Y)) & (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B) | ~ r1(skolemFOFtoCNF_C)))), inference(clausify, [], [normalize_0_5])). fof(normalize_0_7, plain, (! [X] : (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B) | ~ r1(skolemFOFtoCNF_C))), inference(conjunct, [], [normalize_0_6])). fof(normalize_0_8, plain, (! [X, Y] : (~ p1(X) | ~ q1(X) | r1(Y))), inference(conjunct, [], [normalize_0_6])). fof(normalize_0_9, plain, (! [X, Y] : (~ q1(X) | p1(f(Y)))), inference(conjunct, [], [normalize_0_6])). cnf(refute_0_0, plain, (q1(f(Z))), inference(canonicalize, [], [normalize_0_2])). cnf(refute_0_1, plain, (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B) | ~ r1(skolemFOFtoCNF_C)), inference(canonicalize, [], [normalize_0_7])). cnf(refute_0_2, plain, (~ p1(X) | ~ q1(X) | r1(Y)), inference(canonicalize, [], [normalize_0_8])). cnf(refute_0_3, plain, (~ p1(f(Z)) | ~ q1(f(Z)) | r1(X_5)), inference(subst, [], [refute_0_2 : [bind(X, $fot(f(Z))), bind(Y, $fot(X_5))]])). cnf(refute_0_4, plain, (~ p1(f(Z)) | r1(X_5)), inference(resolve, [$cnf(q1(f(Z)))], [refute_0_0, refute_0_3])). cnf(refute_0_5, plain, (~ q1(X) | p1(f(Y))), inference(canonicalize, [], [normalize_0_9])). cnf(refute_0_6, plain, (~ q1(f(Z)) | p1(f(X_2))), inference(subst, [], [refute_0_5 : [bind(X, $fot(f(Z))), bind(Y, $fot(X_2))]])). cnf(refute_0_7, plain, (p1(f(X_2))), inference(resolve, [$cnf(q1(f(Z)))], [refute_0_0, refute_0_6])). cnf(refute_0_8, plain, (p1(f(Z))), inference(subst, [], [refute_0_7 : [bind(X_2, $fot(Z))]])). cnf(refute_0_9, plain, (r1(X_5)), inference(resolve, [$cnf(p1(f(Z)))], [refute_0_8, refute_0_4])). cnf(refute_0_10, plain, (r1(skolemFOFtoCNF_B)), inference(subst, [], [refute_0_9 : [bind(X_5, $fot(skolemFOFtoCNF_B))]])). cnf(refute_0_11, plain, (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_C)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B))], [refute_0_10, refute_0_1])). cnf(refute_0_12, plain, (r1(skolemFOFtoCNF_C)), inference(subst, [], [refute_0_9 : [bind(X_5, $fot(skolemFOFtoCNF_C))]])). cnf(refute_0_13, plain, (~ p1(X) | ~ q1(X)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_C))], [refute_0_12, refute_0_11])). cnf(refute_0_14, plain, (~ p1(f(Z)) | ~ q1(f(Z))), inference(subst, [], [refute_0_13 : [bind(X, $fot(f(Z)))]])). cnf(refute_0_15, plain, (~ p1(f(Z))), inference(resolve, [$cnf(q1(f(Z)))], [refute_0_0, refute_0_14])). cnf(refute_0_16, plain, ($false), inference(resolve, [$cnf(p1(f(Z)))], [refute_0_8, refute_0_15])). fof(negate_1_0, plain, (~ (! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) => ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))))), inference(negate, [], [subgoal_1])). fof(normalize_1_0, plain, ((? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & ? [A, B] : (s1(A) & s1(B) & ? [C] : r(B, C) & ! [X] : (~ p1(X) | ! [Y] : ~ q(X, Y)) & ! [X] : (~ s1(X) | p1(X)) & ! [X, Y] : (~ r(X, Y) | q(X, Y)))), inference(canonicalize, [], [negate_1_0])). fof(normalize_1_1, plain, (? [A, B] : (s1(A) & s1(B) & ? [C] : r(B, C) & ! [X] : (~ p1(X) | ! [Y] : ~ q(X, Y)) & ! [X] : (~ s1(X) | p1(X)) & ! [X, Y] : (~ r(X, Y) | q(X, Y)))), inference(conjunct, [], [normalize_1_0])). fof(normalize_1_2, plain, (s1(skolemFOFtoCNF_A) & s1(skolemFOFtoCNF_B_1) & ? [C] : r(skolemFOFtoCNF_B_1, C) & ! [X] : (~ p1(X) | ! [Y] : ~ q(X, Y)) & ! [X] : (~ s1(X) | p1(X)) & ! [X, Y] : (~ r(X, Y) | q(X, Y))), inference(skolemize, [], [normalize_1_1])). fof(normalize_1_3, plain, (! [X] : (~ p1(X) | ! [Y] : ~ q(X, Y))), inference(conjunct, [], [normalize_1_2])). fof(normalize_1_4, plain, (! [X] : (~ p1(X) | ! [Y] : ~ q(X, Y))), inference(specialize, [], [normalize_1_3])). fof(normalize_1_5, plain, (! [X, Y] : (~ p1(X) | ~ q(X, Y))), inference(clausify, [], [normalize_1_4])). fof(normalize_1_6, plain, (? [C] : r(skolemFOFtoCNF_B_1, C)), inference(conjunct, [], [normalize_1_2])). fof(normalize_1_7, plain, (r(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1)), inference(skolemize, [], [normalize_1_6])). fof(normalize_1_8, plain, (! [X, Y] : (~ r(X, Y) | q(X, Y))), inference(conjunct, [], [normalize_1_2])). fof(normalize_1_9, plain, (! [X, Y] : (~ r(X, Y) | q(X, Y))), inference(specialize, [], [normalize_1_8])). fof(normalize_1_10, plain, (s1(skolemFOFtoCNF_B_1)), inference(conjunct, [], [normalize_1_2])). fof(normalize_1_11, plain, (! [X] : (~ s1(X) | p1(X))), inference(conjunct, [], [normalize_1_2])). fof(normalize_1_12, plain, (! [X] : (~ s1(X) | p1(X))), inference(specialize, [], [normalize_1_11])). cnf(refute_1_0, plain, (~ p1(X) | ~ q(X, Y)), inference(canonicalize, [], [normalize_1_5])). cnf(refute_1_1, plain, (~ p1(skolemFOFtoCNF_B_1) | ~ q(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1)), inference(subst, [], [refute_1_0 : [bind(X, $fot(skolemFOFtoCNF_B_1)), bind(Y, $fot(skolemFOFtoCNF_C_1))]])). cnf(refute_1_2, plain, (r(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1)), inference(canonicalize, [], [normalize_1_7])). cnf(refute_1_3, plain, (~ r(X, Y) | q(X, Y)), inference(canonicalize, [], [normalize_1_9])). cnf(refute_1_4, plain, (~ r(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1) | q(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1)), inference(subst, [], [refute_1_3 : [bind(X, $fot(skolemFOFtoCNF_B_1)), bind(Y, $fot(skolemFOFtoCNF_C_1))]])). cnf(refute_1_5, plain, (q(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1)), inference(resolve, [$cnf(r(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1))], [refute_1_2, refute_1_4])). cnf(refute_1_6, plain, (~ p1(skolemFOFtoCNF_B_1)), inference(resolve, [$cnf(q(skolemFOFtoCNF_B_1, skolemFOFtoCNF_C_1))], [refute_1_5, refute_1_1])). cnf(refute_1_7, plain, (s1(skolemFOFtoCNF_B_1)), inference(canonicalize, [], [normalize_1_10])). cnf(refute_1_8, plain, (~ s1(X) | p1(X)), inference(canonicalize, [], [normalize_1_12])). cnf(refute_1_9, plain, (~ s1(skolemFOFtoCNF_B_1) | p1(skolemFOFtoCNF_B_1)), inference(subst, [], [refute_1_8 : [bind(X, $fot(skolemFOFtoCNF_B_1))]])). cnf(refute_1_10, plain, (p1(skolemFOFtoCNF_B_1)), inference(resolve, [$cnf(s1(skolemFOFtoCNF_B_1))], [refute_1_7, refute_1_9])). cnf(refute_1_11, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_1))], [refute_1_10, refute_1_6])). fof(negate_2_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [X] : ? [Y] : (p1(X) & q1(Y))) => ? [Z] : ! [Y] : (r1(Z) | p1(Y)))), inference(negate, [], [subgoal_2])). fof(normalize_2_0, plain, ((? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & ? [Y] : ~ p1(Y) & ? [Y] : q1(Y) & ! [X] : p1(X) & ! [Z] : ~ r1(Z) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_2_0])). fof(normalize_2_1, plain, (? [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_2_0])). fof(normalize_2_2, plain, (~ p1(skolemFOFtoCNF_Y_4)), inference(skolemize, [], [normalize_2_1])). fof(normalize_2_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_2_0])). fof(normalize_2_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_2_3])). cnf(refute_2_0, plain, (~ p1(skolemFOFtoCNF_Y_4)), inference(canonicalize, [], [normalize_2_2])). cnf(refute_2_1, plain, (p1(X)), inference(canonicalize, [], [normalize_2_4])). cnf(refute_2_2, plain, (p1(skolemFOFtoCNF_Y_4)), inference(subst, [], [refute_2_1 : [bind(X, $fot(skolemFOFtoCNF_Y_4))]])). cnf(refute_2_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_Y_4))], [refute_2_2, refute_2_0])). fof(negate_3_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & ! [X] : ? [Y] : (a(Y, Y) & a(X, Y))) => ? [Z] : a(Z, Z))), inference(negate, [], [subgoal_3])). fof(normalize_3_0, plain, ((? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & ! [X] : ? [Y] : (a(X, Y) & a(Y, Y)) & ! [Z] : ~ a(Z, Z) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_3_0])). fof(normalize_3_1, plain, (! [X] : ? [Y] : (a(X, Y) & a(Y, Y))), inference(conjunct, [], [normalize_3_0])). fof(normalize_3_2, plain, (! [X] : ? [Y] : (a(X, Y) & a(Y, Y))), inference(specialize, [], [normalize_3_1])). fof(normalize_3_3, plain, (! [X] : (a(X, skolemFOFtoCNF_Y_10(X)) & a(skolemFOFtoCNF_Y_10(X), skolemFOFtoCNF_Y_10(X)))), inference(skolemize, [], [normalize_3_2])). fof(normalize_3_4, plain, (! [X] : a(skolemFOFtoCNF_Y_10(X), skolemFOFtoCNF_Y_10(X))), inference(conjunct, [], [normalize_3_3])). fof(normalize_3_5, plain, (! [Z] : ~ a(Z, Z)), inference(conjunct, [], [normalize_3_0])). fof(normalize_3_6, plain, (! [Z] : ~ a(Z, Z)), inference(specialize, [], [normalize_3_5])). cnf(refute_3_0, plain, (a(skolemFOFtoCNF_Y_10(X), skolemFOFtoCNF_Y_10(X))), inference(canonicalize, [], [normalize_3_4])). cnf(refute_3_1, plain, (~ a(Z, Z)), inference(canonicalize, [], [normalize_3_6])). cnf(refute_3_2, plain, (~ a(skolemFOFtoCNF_Y_10(X), skolemFOFtoCNF_Y_10(X))), inference(subst, [], [refute_3_1 : [bind(Z, $fot(skolemFOFtoCNF_Y_10(X)))]])). cnf(refute_3_3, plain, ($false), inference(resolve, [$cnf(a(skolemFOFtoCNF_Y_10(X), skolemFOFtoCNF_Y_10(X)))], [refute_3_0, refute_3_2])). fof(negate_4_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z))) => ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))))), inference(negate, [], [subgoal_4])). fof(normalize_4_0, plain, ($false), inference(canonicalize, [], [negate_4_0])). cnf(refute_4_0, plain, ($false), inference(canonicalize, [], [normalize_4_0])). fof(negate_5_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X)))) => ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))))), inference(negate, [], [subgoal_5])). fof(normalize_5_0, plain, ((? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & ? [A, B] : ! [X] : ((~ p1(A) & p1(X)) | (~ p1(B) & q1(X))) & ! [Y] : (~ q1(Y) | p1(Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_5_0])). fof(normalize_5_1, plain, (? [A, B] : ! [X] : ((~ p1(A) & p1(X)) | (~ p1(B) & q1(X)))), inference(conjunct, [], [normalize_5_0])). fof(normalize_5_2, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_1) & p1(X)) | (~ p1(skolemFOFtoCNF_B_2) & q1(X)))), inference(skolemize, [], [normalize_5_1])). fof(normalize_5_3, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_1) & p1(X)) | (~ p1(skolemFOFtoCNF_B_2) & q1(X)))), inference(specialize, [], [normalize_5_2])). fof(normalize_5_4, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_1) | ~ p1(skolemFOFtoCNF_B_2)) & (~ p1(skolemFOFtoCNF_A_1) | q1(X)) & (~ p1(skolemFOFtoCNF_B_2) | p1(X)) & (p1(X) | q1(X)))), inference(clausify, [], [normalize_5_3])). fof(normalize_5_5, plain, (~ p1(skolemFOFtoCNF_A_1) | ~ p1(skolemFOFtoCNF_B_2)), inference(conjunct, [], [normalize_5_4])). fof(normalize_5_6, plain, (! [X] : (p1(X) | q1(X))), inference(conjunct, [], [normalize_5_4])). fof(normalize_5_7, plain, (! [Y] : (~ q1(Y) | p1(Y))), inference(conjunct, [], [normalize_5_0])). fof(normalize_5_8, plain, (! [Y] : (~ q1(Y) | p1(Y))), inference(specialize, [], [normalize_5_7])). cnf(refute_5_0, plain, (~ p1(skolemFOFtoCNF_A_1) | ~ p1(skolemFOFtoCNF_B_2)), inference(canonicalize, [], [normalize_5_5])). cnf(refute_5_1, plain, (p1(X) | q1(X)), inference(canonicalize, [], [normalize_5_6])). cnf(refute_5_2, plain, (p1(X_16) | q1(X_16)), inference(subst, [], [refute_5_1 : [bind(X, $fot(X_16))]])). cnf(refute_5_3, plain, (~ q1(Y) | p1(Y)), inference(canonicalize, [], [normalize_5_8])). cnf(refute_5_4, plain, (~ q1(X_16) | p1(X_16)), inference(subst, [], [refute_5_3 : [bind(Y, $fot(X_16))]])). cnf(refute_5_5, plain, (p1(X_16)), inference(resolve, [$cnf(q1(X_16))], [refute_5_2, refute_5_4])). cnf(refute_5_6, plain, (p1(skolemFOFtoCNF_B_2)), inference(subst, [], [refute_5_5 : [bind(X_16, $fot(skolemFOFtoCNF_B_2))]])). cnf(refute_5_7, plain, (~ p1(skolemFOFtoCNF_A_1)), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_2))], [refute_5_6, refute_5_0])). cnf(refute_5_8, plain, (p1(skolemFOFtoCNF_A_1)), inference(subst, [], [refute_5_5 : [bind(X_16, $fot(skolemFOFtoCNF_A_1))]])). cnf(refute_5_9, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_1))], [refute_5_8, refute_5_7])). fof(negate_6_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B))))) => ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))))), inference(negate, [], [subgoal_6])). fof(normalize_6_0, plain, ((? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & ? [A, B] : ! [X] : ((~ p1(A) & p1(X)) | (~ p1(B) & q1(X))) & ! [Z] : (~ q1(Z) | p1(Z)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_6_0])). fof(normalize_6_1, plain, (? [A, B] : ! [X] : ((~ p1(A) & p1(X)) | (~ p1(B) & q1(X)))), inference(conjunct, [], [normalize_6_0])). fof(normalize_6_2, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_2) & p1(X)) | (~ p1(skolemFOFtoCNF_B_3) & q1(X)))), inference(skolemize, [], [normalize_6_1])). fof(normalize_6_3, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_2) & p1(X)) | (~ p1(skolemFOFtoCNF_B_3) & q1(X)))), inference(specialize, [], [normalize_6_2])). fof(normalize_6_4, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_2) | ~ p1(skolemFOFtoCNF_B_3)) & (~ p1(skolemFOFtoCNF_A_2) | q1(X)) & (~ p1(skolemFOFtoCNF_B_3) | p1(X)) & (p1(X) | q1(X)))), inference(clausify, [], [normalize_6_3])). fof(normalize_6_5, plain, (~ p1(skolemFOFtoCNF_A_2) | ~ p1(skolemFOFtoCNF_B_3)), inference(conjunct, [], [normalize_6_4])). fof(normalize_6_6, plain, (! [X] : (p1(X) | q1(X))), inference(conjunct, [], [normalize_6_4])). fof(normalize_6_7, plain, (! [Z] : (~ q1(Z) | p1(Z))), inference(conjunct, [], [normalize_6_0])). fof(normalize_6_8, plain, (! [Z] : (~ q1(Z) | p1(Z))), inference(specialize, [], [normalize_6_7])). cnf(refute_6_0, plain, (~ p1(skolemFOFtoCNF_A_2) | ~ p1(skolemFOFtoCNF_B_3)), inference(canonicalize, [], [normalize_6_5])). cnf(refute_6_1, plain, (p1(X) | q1(X)), inference(canonicalize, [], [normalize_6_6])). cnf(refute_6_2, plain, (p1(X_21) | q1(X_21)), inference(subst, [], [refute_6_1 : [bind(X, $fot(X_21))]])). cnf(refute_6_3, plain, (~ q1(Z) | p1(Z)), inference(canonicalize, [], [normalize_6_8])). cnf(refute_6_4, plain, (~ q1(X_21) | p1(X_21)), inference(subst, [], [refute_6_3 : [bind(Z, $fot(X_21))]])). cnf(refute_6_5, plain, (p1(X_21)), inference(resolve, [$cnf(q1(X_21))], [refute_6_2, refute_6_4])). cnf(refute_6_6, plain, (p1(skolemFOFtoCNF_B_3)), inference(subst, [], [refute_6_5 : [bind(X_21, $fot(skolemFOFtoCNF_B_3))]])). cnf(refute_6_7, plain, (~ p1(skolemFOFtoCNF_A_2)), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_3))], [refute_6_6, refute_6_0])). cnf(refute_6_8, plain, (p1(skolemFOFtoCNF_A_2)), inference(subst, [], [refute_6_5 : [bind(X_21, $fot(skolemFOFtoCNF_A_2))]])). cnf(refute_6_9, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_2))], [refute_6_8, refute_6_7])). fof(negate_7_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & ? [X] : (a1(X) => b(X)) & ! [X] : a1(X)) => ? [X] : b(X))), inference(negate, [], [subgoal_7])). fof(normalize_7_0, plain, ((? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & ! [X] : ~ b(X) & ! [X] : a1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_7_0])). fof(normalize_7_1, plain, (? [X] : ~ a1(X) | ? [X] : b(X)), inference(conjunct, [], [normalize_7_0])). fof(normalize_7_2, plain, (~ a1(skolemFOFtoCNF_X_22) | b(skolemFOFtoCNF_X_23)), inference(clausify, [], [normalize_7_1])). fof(normalize_7_3, plain, (! [X] : a1(X)), inference(conjunct, [], [normalize_7_0])). fof(normalize_7_4, plain, (! [X] : a1(X)), inference(specialize, [], [normalize_7_3])). fof(normalize_7_5, plain, (! [X] : ~ b(X)), inference(conjunct, [], [normalize_7_0])). fof(normalize_7_6, plain, (! [X] : ~ b(X)), inference(specialize, [], [normalize_7_5])). cnf(refute_7_0, plain, (~ a1(skolemFOFtoCNF_X_22) | b(skolemFOFtoCNF_X_23)), inference(canonicalize, [], [normalize_7_2])). cnf(refute_7_1, plain, (a1(X)), inference(canonicalize, [], [normalize_7_4])). cnf(refute_7_2, plain, (a1(skolemFOFtoCNF_X_22)), inference(subst, [], [refute_7_1 : [bind(X, $fot(skolemFOFtoCNF_X_22))]])). cnf(refute_7_3, plain, (b(skolemFOFtoCNF_X_23)), inference(resolve, [$cnf(a1(skolemFOFtoCNF_X_22))], [refute_7_2, refute_7_0])). cnf(refute_7_4, plain, (~ b(X)), inference(canonicalize, [], [normalize_7_6])). cnf(refute_7_5, plain, (~ b(skolemFOFtoCNF_X_23)), inference(subst, [], [refute_7_4 : [bind(X, $fot(skolemFOFtoCNF_X_23))]])). cnf(refute_7_6, plain, ($false), inference(resolve, [$cnf(b(skolemFOFtoCNF_X_23))], [refute_7_3, refute_7_5])). fof(negate_8_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & ? [X] : b(X)) => ? [X] : (b(X) | a1(X)))), inference(negate, [], [subgoal_8])). fof(normalize_8_0, plain, ($false), inference(canonicalize, [], [negate_8_0])). cnf(refute_8_0, plain, ($false), inference(canonicalize, [], [normalize_8_0])). fof(negate_9_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & ? [Y, X] : a(X, Y)) => ? [X, Y] : a(X, Y))), inference(negate, [], [subgoal_9])). fof(normalize_9_0, plain, ($false), inference(canonicalize, [], [negate_9_0])). cnf(refute_9_0, plain, ($false), inference(canonicalize, [], [normalize_9_0])). fof(negate_10_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & ? [X, Y] : a(X, Y)) => ? [Y, X] : a(X, Y))), inference(negate, [], [subgoal_10])). fof(normalize_10_0, plain, ($false), inference(canonicalize, [], [negate_10_0])). cnf(refute_10_0, plain, ($false), inference(canonicalize, [], [normalize_10_0])). fof(negate_11_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & ? [Y] : p1(Y)) => ? [X] : p1(X))), inference(negate, [], [subgoal_11])). fof(normalize_11_0, plain, ((? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & ? [Y] : p1(Y) & ! [X] : ~ p1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_11_0])). fof(normalize_11_1, plain, (? [Y] : p1(Y)), inference(conjunct, [], [normalize_11_0])). fof(normalize_11_2, plain, (p1(skolemFOFtoCNF_Y_30)), inference(skolemize, [], [normalize_11_1])). fof(normalize_11_3, plain, (! [X] : ~ p1(X)), inference(conjunct, [], [normalize_11_0])). fof(normalize_11_4, plain, (! [X] : ~ p1(X)), inference(specialize, [], [normalize_11_3])). cnf(refute_11_0, plain, (p1(skolemFOFtoCNF_Y_30)), inference(canonicalize, [], [normalize_11_2])). cnf(refute_11_1, plain, (~ p1(X)), inference(canonicalize, [], [normalize_11_4])). cnf(refute_11_2, plain, (~ p1(skolemFOFtoCNF_Y_30)), inference(subst, [], [refute_11_1 : [bind(X, $fot(skolemFOFtoCNF_Y_30))]])). cnf(refute_11_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_Y_30))], [refute_11_0, refute_11_2])). fof(negate_12_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & ? [X] : p1(X)) => ? [Y] : p1(Y))), inference(negate, [], [subgoal_12])). fof(normalize_12_0, plain, ((? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & ? [X] : p1(X) & ! [Y] : ~ p1(Y) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_12_0])). fof(normalize_12_1, plain, (? [X] : p1(X)), inference(conjunct, [], [normalize_12_0])). fof(normalize_12_2, plain, (p1(skolemFOFtoCNF_X_48)), inference(skolemize, [], [normalize_12_1])). fof(normalize_12_3, plain, (! [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_12_0])). fof(normalize_12_4, plain, (! [Y] : ~ p1(Y)), inference(specialize, [], [normalize_12_3])). cnf(refute_12_0, plain, (p1(skolemFOFtoCNF_X_48)), inference(canonicalize, [], [normalize_12_2])). cnf(refute_12_1, plain, (~ p1(Y)), inference(canonicalize, [], [normalize_12_4])). cnf(refute_12_2, plain, (~ p1(skolemFOFtoCNF_X_48)), inference(subst, [], [refute_12_1 : [bind(Y, $fot(skolemFOFtoCNF_X_48))]])). cnf(refute_12_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_X_48))], [refute_12_0, refute_12_2])). fof(negate_13_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X))) => ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))))), inference(negate, [], [subgoal_13])). fof(normalize_13_0, plain, ((? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ! [Z] : ? [X] : ! [Y] : ((p(Y, X) & ! [W] : ~ p(W, Y)) | (~ p(Y, X) & p(Y, Z) & p(Z, Y))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_13_0])). fof(normalize_13_1, plain, (! [Z] : ? [X] : ! [Y] : ((p(Y, X) & ! [W] : ~ p(W, Y)) | (~ p(Y, X) & p(Y, Z) & p(Z, Y)))), inference(conjunct, [], [normalize_13_0])). fof(normalize_13_2, plain, (! [Z] : ? [X] : ! [Y] : ((p(Y, X) & ! [W] : ~ p(W, Y)) | (~ p(Y, X) & p(Y, Z) & p(Z, Y)))), inference(specialize, [], [normalize_13_1])). fof(normalize_13_3, plain, (! [Z, Y] : ((p(Y, skolemFOFtoCNF_X_60(Z)) & ! [W] : ~ p(W, Y)) | (~ p(Y, skolemFOFtoCNF_X_60(Z)) & p(Y, Z) & p(Z, Y)))), inference(skolemize, [], [normalize_13_2])). fof(normalize_13_4, plain, (! [Y, Z] : ((p(Y, skolemFOFtoCNF_X_60(Z)) & ! [W] : ~ p(W, Y)) | (~ p(Y, skolemFOFtoCNF_X_60(Z)) & p(Y, Z) & p(Z, Y)))), inference(specialize, [], [normalize_13_3])). fof(normalize_13_5, plain, (! [W, Y, Z] : ((~ p(W, Y) | ~ p(Y, skolemFOFtoCNF_X_60(Z))) & (~ p(W, Y) | p(Y, Z)) & (~ p(W, Y) | p(Z, Y)) & (p(Y, Z) | p(Y, skolemFOFtoCNF_X_60(Z))) & (p(Y, skolemFOFtoCNF_X_60(Z)) | p(Z, Y)))), inference(clausify, [], [normalize_13_4])). fof(normalize_13_6, plain, (! [W, Y, Z] : (~ p(W, Y) | ~ p(Y, skolemFOFtoCNF_X_60(Z)))), inference(conjunct, [], [normalize_13_5])). fof(normalize_13_7, plain, (! [Y, Z] : (p(Y, Z) | p(Y, skolemFOFtoCNF_X_60(Z)))), inference(conjunct, [], [normalize_13_5])). fof(normalize_13_8, plain, (! [W, Y, Z] : (~ p(W, Y) | p(Y, Z))), inference(conjunct, [], [normalize_13_5])). cnf(refute_13_0, plain, (~ p(W, Y) | ~ p(Y, skolemFOFtoCNF_X_60(Z))), inference(canonicalize, [], [normalize_13_6])). cnf(refute_13_1, plain, (~ p(skolemFOFtoCNF_X_60(Z), skolemFOFtoCNF_X_60(Z))), inference(subst, [], [refute_13_0 : [bind(W, $fot(skolemFOFtoCNF_X_60(Z))), bind(Y, $fot(skolemFOFtoCNF_X_60(Z)))]])). cnf(refute_13_2, plain, (~ p(skolemFOFtoCNF_X_60(X_31), skolemFOFtoCNF_X_60(X_31))), inference(subst, [], [refute_13_0 : [bind(W, $fot(skolemFOFtoCNF_X_60(X_31))), bind(Y, $fot(skolemFOFtoCNF_X_60(X_31))), bind(Z, $fot(X_31))]])). cnf(refute_13_3, plain, (p(Y, Z) | p(Y, skolemFOFtoCNF_X_60(Z))), inference(canonicalize, [], [normalize_13_7])). cnf(refute_13_4, plain, (p(skolemFOFtoCNF_X_60(X_31), X_31) | p(skolemFOFtoCNF_X_60(X_31), skolemFOFtoCNF_X_60(X_31))), inference(subst, [], [refute_13_3 : [bind(Y, $fot(skolemFOFtoCNF_X_60(X_31))), bind(Z, $fot(X_31))]])). cnf(refute_13_5, plain, (p(skolemFOFtoCNF_X_60(X_31), X_31)), inference(resolve, [$cnf(p(skolemFOFtoCNF_X_60(X_31), skolemFOFtoCNF_X_60(X_31)))], [refute_13_4, refute_13_2])). cnf(refute_13_6, plain, (p(skolemFOFtoCNF_X_60(X_37), X_37)), inference(subst, [], [refute_13_5 : [bind(X_31, $fot(X_37))]])). cnf(refute_13_7, plain, (~ p(W, Y) | p(Y, Z)), inference(canonicalize, [], [normalize_13_8])). cnf(refute_13_8, plain, (~ p(skolemFOFtoCNF_X_60(X_37), X_37) | p(X_37, X_38)), inference(subst, [], [refute_13_7 : [bind(W, $fot(skolemFOFtoCNF_X_60(X_37))), bind(Y, $fot(X_37)), bind(Z, $fot(X_38))]])). cnf(refute_13_9, plain, (p(X_37, X_38)), inference(resolve, [$cnf(p(skolemFOFtoCNF_X_60(X_37), X_37))], [refute_13_6, refute_13_8])). cnf(refute_13_10, plain, (p(skolemFOFtoCNF_X_60(Z), skolemFOFtoCNF_X_60(Z))), inference(subst, [], [refute_13_9 : [bind(X_37, $fot(skolemFOFtoCNF_X_60(Z))), bind(X_38, $fot(skolemFOFtoCNF_X_60(Z)))]])). cnf(refute_13_11, plain, ($false), inference(resolve, [$cnf(p(skolemFOFtoCNF_X_60(Z), skolemFOFtoCNF_X_60(Z)))], [refute_13_10, refute_13_1])). fof(negate_14_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y)))) => ? [X] : ! [Y] : (p1(X) => p1(Y)))), inference(negate, [], [subgoal_14])). fof(normalize_14_0, plain, ((? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Y] : ~ p1(Y) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [X] : p1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_14_0])). fof(normalize_14_1, plain, (? [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_14_0])). fof(normalize_14_2, plain, (~ p1(skolemFOFtoCNF_Y_47)), inference(skolemize, [], [normalize_14_1])). fof(normalize_14_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_14_0])). fof(normalize_14_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_14_3])). cnf(refute_14_0, plain, (~ p1(skolemFOFtoCNF_Y_47)), inference(canonicalize, [], [normalize_14_2])). cnf(refute_14_1, plain, (p1(X)), inference(canonicalize, [], [normalize_14_4])). cnf(refute_14_2, plain, (p1(skolemFOFtoCNF_Y_47)), inference(subst, [], [refute_14_1 : [bind(X, $fot(skolemFOFtoCNF_Y_47))]])). cnf(refute_14_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_Y_47))], [refute_14_2, refute_14_0])). fof(negate_15_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y))) => ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))))), inference(negate, [], [subgoal_15])). fof(normalize_15_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (! [X] : ~ p1(X) | ! [Y] : r1(Y)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [A] : p1(A) & ? [B] : ~ r1(B) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_15_0])). fof(normalize_15_1, plain, (? [B] : ~ r1(B)), inference(conjunct, [], [normalize_15_0])). fof(normalize_15_2, plain, (~ r1(skolemFOFtoCNF_B_4)), inference(skolemize, [], [normalize_15_1])). fof(normalize_15_3, plain, (? [A] : p1(A)), inference(conjunct, [], [normalize_15_0])). fof(normalize_15_4, plain, (p1(skolemFOFtoCNF_A_3)), inference(skolemize, [], [normalize_15_3])). fof(normalize_15_5, plain, (! [X] : ~ p1(X) | ! [Y] : r1(Y)), inference(conjunct, [], [normalize_15_0])). fof(normalize_15_6, plain, (! [X, Y] : (~ p1(X) | r1(Y))), inference(clausify, [], [normalize_15_5])). cnf(refute_15_0, plain, (~ r1(skolemFOFtoCNF_B_4)), inference(canonicalize, [], [normalize_15_2])). cnf(refute_15_1, plain, (p1(skolemFOFtoCNF_A_3)), inference(canonicalize, [], [normalize_15_4])). cnf(refute_15_2, plain, (~ p1(X) | r1(Y)), inference(canonicalize, [], [normalize_15_6])). cnf(refute_15_3, plain, (~ p1(skolemFOFtoCNF_A_3) | r1(X_45)), inference(subst, [], [refute_15_2 : [bind(X, $fot(skolemFOFtoCNF_A_3)), bind(Y, $fot(X_45))]])). cnf(refute_15_4, plain, (r1(X_45)), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_3))], [refute_15_1, refute_15_3])). cnf(refute_15_5, plain, (r1(skolemFOFtoCNF_B_4)), inference(subst, [], [refute_15_4 : [bind(X_45, $fot(skolemFOFtoCNF_B_4))]])). cnf(refute_15_6, plain, ($false), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B_4))], [refute_15_5, refute_15_0])). fof(negate_16_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & ? [X] : p1(X)) => ? [Y] : p1(Y))), inference(negate, [], [subgoal_16])). fof(normalize_16_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : p1(X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [Y] : ~ p1(Y) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_16_0])). fof(normalize_16_1, plain, (? [X] : p1(X)), inference(conjunct, [], [normalize_16_0])). fof(normalize_16_2, plain, (p1(skolemFOFtoCNF_X_94)), inference(skolemize, [], [normalize_16_1])). fof(normalize_16_3, plain, (! [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_16_0])). fof(normalize_16_4, plain, (! [Y] : ~ p1(Y)), inference(specialize, [], [normalize_16_3])). cnf(refute_16_0, plain, (p1(skolemFOFtoCNF_X_94)), inference(canonicalize, [], [normalize_16_2])). cnf(refute_16_1, plain, (~ p1(Y)), inference(canonicalize, [], [normalize_16_4])). cnf(refute_16_2, plain, (~ p1(skolemFOFtoCNF_X_94)), inference(subst, [], [refute_16_1 : [bind(Y, $fot(skolemFOFtoCNF_X_94))]])). cnf(refute_16_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_X_94))], [refute_16_0, refute_16_2])). fof(negate_17_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & ! [X, Y] : p(X, Y)) => ! [X] : p(X, X))), inference(negate, [], [subgoal_17])). fof(normalize_17_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : ~ p(X, X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [X, Y] : p(X, Y)), inference(canonicalize, [], [negate_17_0])). fof(normalize_17_1, plain, (? [X] : ~ p(X, X)), inference(conjunct, [], [normalize_17_0])). fof(normalize_17_2, plain, (~ p(skolemFOFtoCNF_X_107, skolemFOFtoCNF_X_107)), inference(skolemize, [], [normalize_17_1])). fof(normalize_17_3, plain, (! [X, Y] : p(X, Y)), inference(conjunct, [], [normalize_17_0])). fof(normalize_17_4, plain, (! [X, Y] : p(X, Y)), inference(specialize, [], [normalize_17_3])). cnf(refute_17_0, plain, (~ p(skolemFOFtoCNF_X_107, skolemFOFtoCNF_X_107)), inference(canonicalize, [], [normalize_17_2])). cnf(refute_17_1, plain, (p(X, Y)), inference(canonicalize, [], [normalize_17_4])). cnf(refute_17_2, plain, (p(skolemFOFtoCNF_X_107, skolemFOFtoCNF_X_107)), inference(subst, [], [refute_17_1 : [bind(X, $fot(skolemFOFtoCNF_X_107)), bind(Y, $fot(skolemFOFtoCNF_X_107))]])). cnf(refute_17_3, plain, ($false), inference(resolve, [$cnf(p(skolemFOFtoCNF_X_107, skolemFOFtoCNF_X_107))], [refute_17_2, refute_17_0])). fof(negate_18_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & ~ a0 & ~ b0 & b0) => a0)), inference(negate, [], [subgoal_18])). fof(normalize_18_0, plain, ($false), inference(canonicalize, [], [negate_18_0])). cnf(refute_18_0, plain, ($false), inference(canonicalize, [], [normalize_18_0])). fof(negate_19_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & ~ a0 & ~ b0 & a0) => b0)), inference(negate, [], [subgoal_19])). fof(normalize_19_0, plain, ($false), inference(canonicalize, [], [negate_19_0])). cnf(refute_19_0, plain, ($false), inference(canonicalize, [], [normalize_19_0])). fof(negate_20_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z)))), inference(negate, [], [subgoal_20])). fof(normalize_20_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : ~ q1(Y) | ? [Y] : r1(Y)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [X] : (~ p1(X) | q1(X)) & ! [Z] : ~ r1(Z) & ! [Z] : p1(Z) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_20_0])). fof(normalize_20_1, plain, (? [Y] : ~ q1(Y) | ? [Y] : r1(Y)), inference(conjunct, [], [normalize_20_0])). fof(normalize_20_2, plain, (~ q1(skolemFOFtoCNF_Y_75) | r1(skolemFOFtoCNF_Y_76)), inference(clausify, [], [normalize_20_1])). fof(normalize_20_3, plain, (! [Z] : ~ r1(Z)), inference(conjunct, [], [normalize_20_0])). fof(normalize_20_4, plain, (! [Z] : ~ r1(Z)), inference(specialize, [], [normalize_20_3])). fof(normalize_20_5, plain, (! [X] : (~ p1(X) | q1(X))), inference(conjunct, [], [normalize_20_0])). fof(normalize_20_6, plain, (! [X] : (~ p1(X) | q1(X))), inference(specialize, [], [normalize_20_5])). fof(normalize_20_7, plain, (! [Z] : p1(Z)), inference(conjunct, [], [normalize_20_0])). fof(normalize_20_8, plain, (! [Z] : p1(Z)), inference(specialize, [], [normalize_20_7])). cnf(refute_20_0, plain, (~ q1(skolemFOFtoCNF_Y_75) | r1(skolemFOFtoCNF_Y_76)), inference(canonicalize, [], [normalize_20_2])). cnf(refute_20_1, plain, (~ r1(Z)), inference(canonicalize, [], [normalize_20_4])). cnf(refute_20_2, plain, (~ r1(skolemFOFtoCNF_Y_76)), inference(subst, [], [refute_20_1 : [bind(Z, $fot(skolemFOFtoCNF_Y_76))]])). cnf(refute_20_3, plain, (~ q1(skolemFOFtoCNF_Y_75)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_Y_76))], [refute_20_0, refute_20_2])). cnf(refute_20_4, plain, (~ p1(X) | q1(X)), inference(canonicalize, [], [normalize_20_6])). cnf(refute_20_5, plain, (p1(Z)), inference(canonicalize, [], [normalize_20_8])). cnf(refute_20_6, plain, (p1(X)), inference(subst, [], [refute_20_5 : [bind(Z, $fot(X))]])). cnf(refute_20_7, plain, (q1(X)), inference(resolve, [$cnf(p1(X))], [refute_20_6, refute_20_4])). cnf(refute_20_8, plain, (q1(skolemFOFtoCNF_Y_75)), inference(subst, [], [refute_20_7 : [bind(X, $fot(skolemFOFtoCNF_Y_75))]])). cnf(refute_20_9, plain, ($false), inference(resolve, [$cnf(q1(skolemFOFtoCNF_Y_75))], [refute_20_8, refute_20_3])). fof(negate_21_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z)))) => ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))))), inference(negate, [], [subgoal_21])). fof(normalize_21_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [B] : (! [Y] : (p(f(Y), Y) | (~ r1(Y) & r1(B))) & ! [X, Y] : (~ p(X, Y) | (~ q(X, Y) & q(f(B), B)))) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_21_0])). fof(normalize_21_1, plain, (? [B] : (! [Y] : (p(f(Y), Y) | (~ r1(Y) & r1(B))) & ! [X, Y] : (~ p(X, Y) | (~ q(X, Y) & q(f(B), B))))), inference(conjunct, [], [normalize_21_0])). fof(normalize_21_2, plain, (! [Y] : (p(f(Y), Y) | (~ r1(Y) & r1(skolemFOFtoCNF_B_5))) & ! [X, Y] : (~ p(X, Y) | (~ q(X, Y) & q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)))), inference(skolemize, [], [normalize_21_1])). fof(normalize_21_3, plain, (! [X, Y] : (~ p(X, Y) | (~ q(X, Y) & q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)))), inference(conjunct, [], [normalize_21_2])). fof(normalize_21_4, plain, (! [X, Y] : (~ p(X, Y) | (~ q(X, Y) & q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)))), inference(specialize, [], [normalize_21_3])). fof(normalize_21_5, plain, (! [X, Y] : ((~ p(X, Y) | ~ q(X, Y)) & (~ p(X, Y) | q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)))), inference(clausify, [], [normalize_21_4])). fof(normalize_21_6, plain, (! [X, Y] : (~ p(X, Y) | ~ q(X, Y))), inference(conjunct, [], [normalize_21_5])). fof(normalize_21_7, plain, (! [X, Y] : (~ p(X, Y) | q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5))), inference(conjunct, [], [normalize_21_5])). fof(normalize_21_8, plain, (! [Y] : (p(f(Y), Y) | (~ r1(Y) & r1(skolemFOFtoCNF_B_5)))), inference(conjunct, [], [normalize_21_2])). fof(normalize_21_9, plain, (! [Y] : (p(f(Y), Y) | (~ r1(Y) & r1(skolemFOFtoCNF_B_5)))), inference(specialize, [], [normalize_21_8])). fof(normalize_21_10, plain, (! [Y] : ((~ r1(Y) | p(f(Y), Y)) & (p(f(Y), Y) | r1(skolemFOFtoCNF_B_5)))), inference(clausify, [], [normalize_21_9])). fof(normalize_21_11, plain, (! [Y] : (~ r1(Y) | p(f(Y), Y))), inference(conjunct, [], [normalize_21_10])). fof(normalize_21_12, plain, (! [Y] : (p(f(Y), Y) | r1(skolemFOFtoCNF_B_5))), inference(conjunct, [], [normalize_21_10])). cnf(refute_21_0, plain, (~ p(X, Y) | ~ q(X, Y)), inference(canonicalize, [], [normalize_21_6])). cnf(refute_21_1, plain, (~ p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5) | ~ q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(subst, [], [refute_21_0 : [bind(X, $fot(f(skolemFOFtoCNF_B_5))), bind(Y, $fot(skolemFOFtoCNF_B_5))]])). cnf(refute_21_2, plain, (~ p(X, Y) | q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(canonicalize, [], [normalize_21_7])). cnf(refute_21_3, plain, (~ p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5) | q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(subst, [], [refute_21_2 : [bind(X, $fot(f(skolemFOFtoCNF_B_5))), bind(Y, $fot(skolemFOFtoCNF_B_5))]])). cnf(refute_21_4, plain, (~ r1(Y) | p(f(Y), Y)), inference(canonicalize, [], [normalize_21_11])). cnf(refute_21_5, plain, (~ r1(skolemFOFtoCNF_B_5) | p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(subst, [], [refute_21_4 : [bind(Y, $fot(skolemFOFtoCNF_B_5))]])). cnf(refute_21_6, plain, (p(f(Y), Y) | r1(skolemFOFtoCNF_B_5)), inference(canonicalize, [], [normalize_21_12])). cnf(refute_21_7, plain, (p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5) | r1(skolemFOFtoCNF_B_5)), inference(subst, [], [refute_21_6 : [bind(Y, $fot(skolemFOFtoCNF_B_5))]])). cnf(refute_21_8, plain, (p(f(X_64), X_64) | r1(skolemFOFtoCNF_B_5)), inference(subst, [], [refute_21_6 : [bind(Y, $fot(X_64))]])). cnf(refute_21_9, plain, (~ p(f(X_64), X_64) | q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(subst, [], [refute_21_2 : [bind(X, $fot(f(X_64))), bind(Y, $fot(X_64))]])). cnf(refute_21_10, plain, (q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5) | r1(skolemFOFtoCNF_B_5)), inference(resolve, [$cnf(p(f(X_64), X_64))], [refute_21_8, refute_21_9])). cnf(refute_21_11, plain, (~ p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5) | r1(skolemFOFtoCNF_B_5)), inference(resolve, [$cnf(q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5))], [refute_21_10, refute_21_1])). cnf(refute_21_12, plain, (r1(skolemFOFtoCNF_B_5)), inference(resolve, [$cnf(p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5))], [refute_21_7, refute_21_11])). cnf(refute_21_13, plain, (p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B_5))], [refute_21_12, refute_21_5])). cnf(refute_21_14, plain, (q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(resolve, [$cnf(p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5))], [refute_21_13, refute_21_3])). cnf(refute_21_15, plain, (~ p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5)), inference(resolve, [$cnf(q(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5))], [refute_21_14, refute_21_1])). cnf(refute_21_16, plain, ($false), inference(resolve, [$cnf(p(f(skolemFOFtoCNF_B_5), skolemFOFtoCNF_B_5))], [refute_21_13, refute_21_15])). fof(negate_22_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y))))) => ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)))), inference(negate, [], [subgoal_22])). fof(normalize_22_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ? [A, B] : (~ p(A, B) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (~ s1(A) | ! [X, Y] : p(X, Y)) & ! [X] : (~ q1(X) | p(X, A)) & ! [Y] : (~ r1(Y) | p(B, Y))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C))), inference(canonicalize, [], [negate_22_0])). fof(normalize_22_1, plain, (? [A, B] : (~ p(A, B) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (~ s1(A) | ! [X, Y] : p(X, Y)) & ! [X] : (~ q1(X) | p(X, A)) & ! [Y] : (~ r1(Y) | p(B, Y)))), inference(conjunct, [], [normalize_22_0])). fof(normalize_22_2, plain, (~ p(skolemFOFtoCNF_A_4, skolemFOFtoCNF_B_6) & q1(skolemFOFtoCNF_A_4) & q1(skolemFOFtoCNF_B_6) & r1(skolemFOFtoCNF_A_4) & r1(skolemFOFtoCNF_B_6) & s1(skolemFOFtoCNF_A_4) & (~ s1(skolemFOFtoCNF_A_4) | ! [X, Y] : p(X, Y)) & ! [X] : (~ q1(X) | p(X, skolemFOFtoCNF_A_4)) & ! [Y] : (~ r1(Y) | p(skolemFOFtoCNF_B_6, Y))), inference(skolemize, [], [normalize_22_1])). fof(normalize_22_3, plain, (~ p(skolemFOFtoCNF_A_4, skolemFOFtoCNF_B_6)), inference(conjunct, [], [normalize_22_2])). fof(normalize_22_4, plain, (~ s1(skolemFOFtoCNF_A_4) | ! [X, Y] : p(X, Y)), inference(conjunct, [], [normalize_22_2])). fof(normalize_22_5, plain, (s1(skolemFOFtoCNF_A_4)), inference(conjunct, [], [normalize_22_2])). fof(normalize_22_6, plain, (! [X, Y] : p(X, Y)), inference(simplify, [], [normalize_22_4, normalize_22_5])). fof(normalize_22_7, plain, (! [X, Y] : p(X, Y)), inference(specialize, [], [normalize_22_6])). cnf(refute_22_0, plain, (~ p(skolemFOFtoCNF_A_4, skolemFOFtoCNF_B_6)), inference(canonicalize, [], [normalize_22_3])). cnf(refute_22_1, plain, (p(X, Y)), inference(canonicalize, [], [normalize_22_7])). cnf(refute_22_2, plain, (p(skolemFOFtoCNF_A_4, skolemFOFtoCNF_B_6)), inference(subst, [], [refute_22_1 : [bind(X, $fot(skolemFOFtoCNF_A_4)), bind(Y, $fot(skolemFOFtoCNF_B_6))]])). cnf(refute_22_3, plain, ($false), inference(resolve, [$cnf(p(skolemFOFtoCNF_A_4, skolemFOFtoCNF_B_6))], [refute_22_2, refute_22_0])). fof(negate_23_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & (a0 & b0) & b0) => a0)), inference(negate, [], [subgoal_23])). fof(normalize_23_0, plain, ($false), inference(canonicalize, [], [negate_23_0])). cnf(refute_23_0, plain, ($false), inference(canonicalize, [], [normalize_23_0])). fof(negate_24_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & (a0 & b0) & a0) => b0)), inference(negate, [], [subgoal_24])). fof(normalize_24_0, plain, ($false), inference(canonicalize, [], [negate_24_0])). cnf(refute_24_0, plain, ($false), inference(canonicalize, [], [normalize_24_0])). fof(negate_25_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0))) => ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)))), inference(negate, [], [subgoal_25])). fof(normalize_25_0, plain, ((f0 | g0) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [A] : ~ q1(A) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [X] : p1(X) & ! [X] : q1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_25_0])). fof(normalize_25_1, plain, (? [A] : ~ q1(A)), inference(conjunct, [], [normalize_25_0])). fof(normalize_25_2, plain, (~ q1(skolemFOFtoCNF_A_5)), inference(skolemize, [], [normalize_25_1])). fof(normalize_25_3, plain, (! [X] : q1(X)), inference(conjunct, [], [normalize_25_0])). fof(normalize_25_4, plain, (! [X] : q1(X)), inference(specialize, [], [normalize_25_3])). cnf(refute_25_0, plain, (~ q1(skolemFOFtoCNF_A_5)), inference(canonicalize, [], [normalize_25_2])). cnf(refute_25_1, plain, (q1(X)), inference(canonicalize, [], [normalize_25_4])). cnf(refute_25_2, plain, (q1(skolemFOFtoCNF_A_5)), inference(subst, [], [refute_25_1 : [bind(X, $fot(skolemFOFtoCNF_A_5))]])). cnf(refute_25_3, plain, ($false), inference(resolve, [$cnf(q1(skolemFOFtoCNF_A_5))], [refute_25_2, refute_25_0])). fof(negate_26_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & p1(z)) => p1(z))), inference(negate, [], [subgoal_26])). fof(normalize_26_0, plain, ($false), inference(canonicalize, [], [negate_26_0])). cnf(refute_26_0, plain, ($false), inference(canonicalize, [], [normalize_26_0])). fof(negate_27_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & ? [X] : ! [Y] : p(X, Y)) => ! [Y] : ? [X] : p(X, Y))), inference(negate, [], [subgoal_27])). fof(normalize_27_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : ! [Y] : p(X, Y) & ? [Y] : ! [X] : ~ p(X, Y) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_27_0])). fof(normalize_27_1, plain, (? [Y] : ! [X] : ~ p(X, Y)), inference(conjunct, [], [normalize_27_0])). fof(normalize_27_2, plain, (! [X] : ~ p(X, skolemFOFtoCNF_Y_130)), inference(skolemize, [], [normalize_27_1])). fof(normalize_27_3, plain, (! [X] : ~ p(X, skolemFOFtoCNF_Y_130)), inference(specialize, [], [normalize_27_2])). fof(normalize_27_4, plain, (? [X] : ! [Y] : p(X, Y)), inference(conjunct, [], [normalize_27_0])). fof(normalize_27_5, plain, (! [Y] : p(skolemFOFtoCNF_X_182, Y)), inference(skolemize, [], [normalize_27_4])). fof(normalize_27_6, plain, (! [Y] : p(skolemFOFtoCNF_X_182, Y)), inference(specialize, [], [normalize_27_5])). cnf(refute_27_0, plain, (~ p(X, skolemFOFtoCNF_Y_130)), inference(canonicalize, [], [normalize_27_3])). cnf(refute_27_1, plain, (~ p(skolemFOFtoCNF_X_182, skolemFOFtoCNF_Y_130)), inference(subst, [], [refute_27_0 : [bind(X, $fot(skolemFOFtoCNF_X_182))]])). cnf(refute_27_2, plain, (p(skolemFOFtoCNF_X_182, Y)), inference(canonicalize, [], [normalize_27_6])). cnf(refute_27_3, plain, (p(skolemFOFtoCNF_X_182, skolemFOFtoCNF_Y_130)), inference(subst, [], [refute_27_2 : [bind(Y, $fot(skolemFOFtoCNF_Y_130))]])). cnf(refute_27_4, plain, ($false), inference(resolve, [$cnf(p(skolemFOFtoCNF_X_182, skolemFOFtoCNF_Y_130))], [refute_27_3, refute_27_1])). fof(negate_28_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y))) => ? [Y] : (? [X] : p1(X) => p1(Y)))), inference(negate, [], [subgoal_28])). fof(normalize_28_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : p1(X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [Y] : ~ p1(Y) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_28_0])). fof(normalize_28_1, plain, (? [X] : p1(X)), inference(conjunct, [], [normalize_28_0])). fof(normalize_28_2, plain, (p1(skolemFOFtoCNF_X_203)), inference(skolemize, [], [normalize_28_1])). fof(normalize_28_3, plain, (! [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_28_0])). fof(normalize_28_4, plain, (! [Y] : ~ p1(Y)), inference(specialize, [], [normalize_28_3])). cnf(refute_28_0, plain, (p1(skolemFOFtoCNF_X_203)), inference(canonicalize, [], [normalize_28_2])). cnf(refute_28_1, plain, (~ p1(Y)), inference(canonicalize, [], [normalize_28_4])). cnf(refute_28_2, plain, (~ p1(skolemFOFtoCNF_X_203)), inference(subst, [], [refute_28_1 : [bind(Y, $fot(skolemFOFtoCNF_X_203))]])). cnf(refute_28_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_X_203))], [refute_28_0, refute_28_2])). fof(negate_29_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y))) => ! [B] : (((r1(B) & ! [X] : (p1(X) => q1(X))) & ! [Y] : (r1(Y) => p1(Y))) => q1(B)))), inference(negate, [], [subgoal_29])). fof(normalize_29_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [B] : (~ q1(B) & r1(B) & ! [X] : (~ p1(X) | q1(X)) & ! [Y] : (~ r1(Y) | p1(Y))) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_29_0])). fof(normalize_29_1, plain, (? [B] : (~ q1(B) & r1(B) & ! [X] : (~ p1(X) | q1(X)) & ! [Y] : (~ r1(Y) | p1(Y)))), inference(conjunct, [], [normalize_29_0])). fof(normalize_29_2, plain, (~ q1(skolemFOFtoCNF_B_7) & r1(skolemFOFtoCNF_B_7) & ! [X] : (~ p1(X) | q1(X)) & ! [Y] : (~ r1(Y) | p1(Y))), inference(skolemize, [], [normalize_29_1])). fof(normalize_29_3, plain, (r1(skolemFOFtoCNF_B_7)), inference(conjunct, [], [normalize_29_2])). fof(normalize_29_4, plain, (! [Y] : (~ r1(Y) | p1(Y))), inference(conjunct, [], [normalize_29_2])). fof(normalize_29_5, plain, (! [Y] : (~ r1(Y) | p1(Y))), inference(specialize, [], [normalize_29_4])). fof(normalize_29_6, plain, (! [X] : (~ p1(X) | q1(X))), inference(conjunct, [], [normalize_29_2])). fof(normalize_29_7, plain, (! [X] : (~ p1(X) | q1(X))), inference(specialize, [], [normalize_29_6])). fof(normalize_29_8, plain, (~ q1(skolemFOFtoCNF_B_7)), inference(conjunct, [], [normalize_29_2])). cnf(refute_29_0, plain, (r1(skolemFOFtoCNF_B_7)), inference(canonicalize, [], [normalize_29_3])). cnf(refute_29_1, plain, (~ r1(Y) | p1(Y)), inference(canonicalize, [], [normalize_29_5])). cnf(refute_29_2, plain, (~ r1(skolemFOFtoCNF_B_7) | p1(skolemFOFtoCNF_B_7)), inference(subst, [], [refute_29_1 : [bind(Y, $fot(skolemFOFtoCNF_B_7))]])). cnf(refute_29_3, plain, (p1(skolemFOFtoCNF_B_7)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B_7))], [refute_29_0, refute_29_2])). cnf(refute_29_4, plain, (~ p1(X) | q1(X)), inference(canonicalize, [], [normalize_29_7])). cnf(refute_29_5, plain, (~ p1(skolemFOFtoCNF_B_7) | q1(skolemFOFtoCNF_B_7)), inference(subst, [], [refute_29_4 : [bind(X, $fot(skolemFOFtoCNF_B_7))]])). cnf(refute_29_6, plain, (q1(skolemFOFtoCNF_B_7)), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_7))], [refute_29_3, refute_29_5])). cnf(refute_29_7, plain, (~ q1(skolemFOFtoCNF_B_7)), inference(canonicalize, [], [normalize_29_8])). cnf(refute_29_8, plain, ($false), inference(resolve, [$cnf(q1(skolemFOFtoCNF_B_7))], [refute_29_6, refute_29_7])). fof(negate_30_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B)))) => ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))))), inference(negate, [], [subgoal_30])). fof(normalize_30_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ? [A, B] : ! [X] : ((~ p1(A) & p1(X)) | (~ p1(B) & q1(X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [Y] : (~ q1(Y) | p1(Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_30_0])). fof(normalize_30_1, plain, (? [A, B] : ! [X] : ((~ p1(A) & p1(X)) | (~ p1(B) & q1(X)))), inference(conjunct, [], [normalize_30_0])). fof(normalize_30_2, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_6) & p1(X)) | (~ p1(skolemFOFtoCNF_B_8) & q1(X)))), inference(skolemize, [], [normalize_30_1])). fof(normalize_30_3, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_6) & p1(X)) | (~ p1(skolemFOFtoCNF_B_8) & q1(X)))), inference(specialize, [], [normalize_30_2])). fof(normalize_30_4, plain, (! [X] : ((~ p1(skolemFOFtoCNF_A_6) | ~ p1(skolemFOFtoCNF_B_8)) & (~ p1(skolemFOFtoCNF_A_6) | q1(X)) & (~ p1(skolemFOFtoCNF_B_8) | p1(X)) & (p1(X) | q1(X)))), inference(clausify, [], [normalize_30_3])). fof(normalize_30_5, plain, (~ p1(skolemFOFtoCNF_A_6) | ~ p1(skolemFOFtoCNF_B_8)), inference(conjunct, [], [normalize_30_4])). fof(normalize_30_6, plain, (! [Y] : (~ q1(Y) | p1(Y))), inference(conjunct, [], [normalize_30_0])). fof(normalize_30_7, plain, (! [Y] : (~ q1(Y) | p1(Y))), inference(specialize, [], [normalize_30_6])). fof(normalize_30_8, plain, (! [X] : (p1(X) | q1(X))), inference(conjunct, [], [normalize_30_4])). cnf(refute_30_0, plain, (~ p1(skolemFOFtoCNF_A_6) | ~ p1(skolemFOFtoCNF_B_8)), inference(canonicalize, [], [normalize_30_5])). cnf(refute_30_1, plain, (~ q1(Y) | p1(Y)), inference(canonicalize, [], [normalize_30_7])). cnf(refute_30_2, plain, (~ q1(X_80) | p1(X_80)), inference(subst, [], [refute_30_1 : [bind(Y, $fot(X_80))]])). cnf(refute_30_3, plain, (p1(X) | q1(X)), inference(canonicalize, [], [normalize_30_8])). cnf(refute_30_4, plain, (p1(X_80) | q1(X_80)), inference(subst, [], [refute_30_3 : [bind(X, $fot(X_80))]])). cnf(refute_30_5, plain, (p1(X_80)), inference(resolve, [$cnf(q1(X_80))], [refute_30_4, refute_30_2])). cnf(refute_30_6, plain, (p1(skolemFOFtoCNF_B_8)), inference(subst, [], [refute_30_5 : [bind(X_80, $fot(skolemFOFtoCNF_B_8))]])). cnf(refute_30_7, plain, (~ p1(skolemFOFtoCNF_A_6)), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_8))], [refute_30_6, refute_30_0])). cnf(refute_30_8, plain, (p1(skolemFOFtoCNF_A_6)), inference(subst, [], [refute_30_5 : [bind(X_80, $fot(skolemFOFtoCNF_A_6))]])). cnf(refute_30_9, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_6))], [refute_30_8, refute_30_7])). fof(negate_31_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & ! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y))) => ! [A, B] : (eq(A, B) => eq(B, A)))), inference(negate, [], [subgoal_31])). fof(normalize_31_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ? [A, B] : (~ eq(B, A) & eq(A, B)) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y))) & ! [X, Y] : (~ eq(X, Y) <=> ? [Z] : (~ a_member_of(Z, X) <=> a_member_of(Z, Y)))), inference(canonicalize, [], [negate_31_0])). fof(normalize_31_1, plain, (! [X, Y] : (~ eq(X, Y) <=> ? [Z] : (~ a_member_of(Z, X) <=> a_member_of(Z, Y)))), inference(conjunct, [], [normalize_31_0])). fof(normalize_31_2, plain, (! [X, Y] : (~ eq(X, Y) <=> ? [Z] : (~ a_member_of(Z, X) <=> a_member_of(Z, Y)))), inference(specialize, [], [normalize_31_1])). fof(normalize_31_3, plain, (! [X, Y, Z] : ((~ a_member_of(Z, X) | ~ eq(X, Y) | a_member_of(Z, Y)) & (~ a_member_of(Z, Y) | ~ eq(X, Y) | a_member_of(Z, X)) & (~ a_member_of(skolemFOFtoCNF_Z_95(X, Y), X) | ~ a_member_of(skolemFOFtoCNF_Z_95(X, Y), Y) | eq(X, Y)) & (a_member_of(skolemFOFtoCNF_Z_95(X, Y), X) | a_member_of(skolemFOFtoCNF_Z_95(X, Y), Y) | eq(X, Y)))), inference(clausify, [], [normalize_31_2])). fof(normalize_31_4, plain, (! [X, Y] : (~ a_member_of(skolemFOFtoCNF_Z_95(X, Y), X) | ~ a_member_of(skolemFOFtoCNF_Z_95(X, Y), Y) | eq(X, Y))), inference(conjunct, [], [normalize_31_3])). fof(normalize_31_5, plain, (? [A, B] : (~ eq(B, A) & eq(A, B))), inference(conjunct, [], [normalize_31_0])). fof(normalize_31_6, plain, (~ eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7) & eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9)), inference(skolemize, [], [normalize_31_5])). fof(normalize_31_7, plain, (eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9)), inference(conjunct, [], [normalize_31_6])). fof(normalize_31_8, plain, (! [X, Y, Z] : (~ a_member_of(Z, X) | ~ eq(X, Y) | a_member_of(Z, Y))), inference(conjunct, [], [normalize_31_3])). fof(normalize_31_9, plain, (! [X, Y] : (a_member_of(skolemFOFtoCNF_Z_95(X, Y), X) | a_member_of(skolemFOFtoCNF_Z_95(X, Y), Y) | eq(X, Y))), inference(conjunct, [], [normalize_31_3])). fof(normalize_31_10, plain, (~ eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)), inference(conjunct, [], [normalize_31_6])). fof(normalize_31_11, plain, (! [X, Y, Z] : (~ a_member_of(Z, Y) | ~ eq(X, Y) | a_member_of(Z, X))), inference(conjunct, [], [normalize_31_3])). cnf(refute_31_0, plain, (~ a_member_of(skolemFOFtoCNF_Z_95(X, Y), X) | ~ a_member_of(skolemFOFtoCNF_Z_95(X, Y), Y) | eq(X, Y)), inference(canonicalize, [], [normalize_31_4])). cnf(refute_31_1, plain, (~ a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7) | ~ a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9) | eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)), inference(subst, [], [refute_31_0 : [bind(X, $fot(skolemFOFtoCNF_B_9)), bind(Y, $fot(skolemFOFtoCNF_A_7))]])). cnf(refute_31_2, plain, (eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9)), inference(canonicalize, [], [normalize_31_7])). cnf(refute_31_3, plain, (~ a_member_of(Z, X) | ~ eq(X, Y) | a_member_of(Z, Y)), inference(canonicalize, [], [normalize_31_8])). cnf(refute_31_4, plain, (~ a_member_of(X_137, skolemFOFtoCNF_A_7) | ~ eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9) | a_member_of(X_137, skolemFOFtoCNF_B_9)), inference(subst, [], [refute_31_3 : [bind(X, $fot(skolemFOFtoCNF_A_7)), bind(Y, $fot(skolemFOFtoCNF_B_9)), bind(Z, $fot(X_137))]])). cnf(refute_31_5, plain, (~ a_member_of(X_137, skolemFOFtoCNF_A_7) | a_member_of(X_137, skolemFOFtoCNF_B_9)), inference(resolve, [$cnf(eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9))], [refute_31_2, refute_31_4])). cnf(refute_31_6, plain, (~ a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7) | a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9)), inference(subst, [], [refute_31_5 : [bind(X_137, $fot(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7)))]])). cnf(refute_31_7, plain, (a_member_of(skolemFOFtoCNF_Z_95(X, Y), X) | a_member_of(skolemFOFtoCNF_Z_95(X, Y), Y) | eq(X, Y)), inference(canonicalize, [], [normalize_31_9])). cnf(refute_31_8, plain, (a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), X_146) | a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7) | eq(X_146, skolemFOFtoCNF_A_7)), inference(subst, [], [refute_31_7 : [bind(X, $fot(X_146)), bind(Y, $fot(skolemFOFtoCNF_A_7))]])). cnf(refute_31_9, plain, (a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), X_146) | a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9) | eq(X_146, skolemFOFtoCNF_A_7)), inference(resolve, [$cnf(a_member_of(skolemFOFtoCNF_Z_95(X_146, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7))], [refute_31_8, refute_31_6])). cnf(refute_31_10, plain, (a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9) | eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)), inference(subst, [], [refute_31_9 : [bind(X_146, $fot(skolemFOFtoCNF_B_9))]])). cnf(refute_31_11, plain, (~ eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)), inference(canonicalize, [], [normalize_31_10])). cnf(refute_31_12, plain, (a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9)), inference(resolve, [$cnf(eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7))], [refute_31_10, refute_31_11])). cnf(refute_31_13, plain, (~ a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7) | eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)), inference(resolve, [$cnf(a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9))], [refute_31_12, refute_31_1])). cnf(refute_31_14, plain, (~ a_member_of(Z, Y) | ~ eq(X, Y) | a_member_of(Z, X)), inference(canonicalize, [], [normalize_31_11])). cnf(refute_31_15, plain, (~ a_member_of(X_141, skolemFOFtoCNF_B_9) | ~ eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9) | a_member_of(X_141, skolemFOFtoCNF_A_7)), inference(subst, [], [refute_31_14 : [bind(X, $fot(skolemFOFtoCNF_A_7)), bind(Y, $fot(skolemFOFtoCNF_B_9)), bind(Z, $fot(X_141))]])). cnf(refute_31_16, plain, (~ a_member_of(X_141, skolemFOFtoCNF_B_9) | a_member_of(X_141, skolemFOFtoCNF_A_7)), inference(resolve, [$cnf(eq(skolemFOFtoCNF_A_7, skolemFOFtoCNF_B_9))], [refute_31_2, refute_31_15])). cnf(refute_31_17, plain, (~ a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9) | a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7)), inference(subst, [], [refute_31_16 : [bind(X_141, $fot(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)))]])). cnf(refute_31_18, plain, (a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7)), inference(resolve, [$cnf(a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_B_9))], [refute_31_12, refute_31_17])). cnf(refute_31_19, plain, (eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7)), inference(resolve, [$cnf(a_member_of(skolemFOFtoCNF_Z_95(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7), skolemFOFtoCNF_A_7))], [refute_31_18, refute_31_13])). cnf(refute_31_20, plain, ($false), inference(resolve, [$cnf(eq(skolemFOFtoCNF_B_9, skolemFOFtoCNF_A_7))], [refute_31_19, refute_31_11])). fof(negate_32_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & ? [X] : p1(X)) => ? [Z] : p1(Z))), inference(negate, [], [subgoal_32])). fof(normalize_32_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : p1(X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [Z] : ~ p1(Z) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_32_0])). fof(normalize_32_1, plain, (? [X] : p1(X)), inference(conjunct, [], [normalize_32_0])). fof(normalize_32_2, plain, (p1(skolemFOFtoCNF_X_287)), inference(skolemize, [], [normalize_32_1])). fof(normalize_32_3, plain, (! [Z] : ~ p1(Z)), inference(conjunct, [], [normalize_32_0])). fof(normalize_32_4, plain, (! [Z] : ~ p1(Z)), inference(specialize, [], [normalize_32_3])). cnf(refute_32_0, plain, (p1(skolemFOFtoCNF_X_287)), inference(canonicalize, [], [normalize_32_2])). cnf(refute_32_1, plain, (~ p1(Z)), inference(canonicalize, [], [normalize_32_4])). cnf(refute_32_2, plain, (~ p1(skolemFOFtoCNF_X_287)), inference(subst, [], [refute_32_1 : [bind(Z, $fot(skolemFOFtoCNF_X_287))]])). cnf(refute_32_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_X_287))], [refute_32_0, refute_32_2])). fof(negate_33_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & ! [X] : p1(X)) => ! [Y] : p1(Y))), inference(negate, [], [subgoal_33])). fof(normalize_33_0, plain, ((? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Y] : ~ p1(Y) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_33_0])). fof(normalize_33_1, plain, (? [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_33_0])). fof(normalize_33_2, plain, (~ p1(skolemFOFtoCNF_Y_226)), inference(skolemize, [], [normalize_33_1])). fof(normalize_33_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_33_0])). fof(normalize_33_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_33_3])). cnf(refute_33_0, plain, (~ p1(skolemFOFtoCNF_Y_226)), inference(canonicalize, [], [normalize_33_2])). cnf(refute_33_1, plain, (p1(X)), inference(canonicalize, [], [normalize_33_4])). cnf(refute_33_2, plain, (p1(skolemFOFtoCNF_Y_226)), inference(subst, [], [refute_33_1 : [bind(X, $fot(skolemFOFtoCNF_Y_226))]])). cnf(refute_33_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_Y_226))], [refute_33_2, refute_33_0])). fof(negate_34_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & ! [X] : p1(X) & ! [Y] : p1(Y)) => ! [X] : p1(X))), inference(negate, [], [subgoal_34])). fof(normalize_34_0, plain, ($false), inference(canonicalize, [], [negate_34_0])). cnf(refute_34_0, plain, ($false), inference(canonicalize, [], [normalize_34_0])). fof(negate_35_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X)))) => ! [A, B] : (! [X] : p1(X) => p1(B)))), inference(negate, [], [subgoal_35])). fof(normalize_35_0, plain, (((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [B] : ~ p1(B) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_35_0])). fof(normalize_35_1, plain, (? [B] : ~ p1(B)), inference(conjunct, [], [normalize_35_0])). fof(normalize_35_2, plain, (~ p1(skolemFOFtoCNF_B_10)), inference(skolemize, [], [normalize_35_1])). fof(normalize_35_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_35_0])). fof(normalize_35_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_35_3])). cnf(refute_35_0, plain, (~ p1(skolemFOFtoCNF_B_10)), inference(canonicalize, [], [normalize_35_2])). cnf(refute_35_1, plain, (p1(X)), inference(canonicalize, [], [normalize_35_4])). cnf(refute_35_2, plain, (p1(skolemFOFtoCNF_B_10)), inference(subst, [], [refute_35_1 : [bind(X, $fot(skolemFOFtoCNF_B_10))]])). cnf(refute_35_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_10))], [refute_35_2, refute_35_0])). fof(negate_36_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X)))) => ! [A, B] : ((! [X] : p1(X) & p1(B)) => p1(A)))), inference(negate, [], [subgoal_36])). fof(normalize_36_0, plain, (((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [A] : ~ p1(A) & ? [B] : p1(B) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_36_0])). fof(normalize_36_1, plain, (? [A] : ~ p1(A)), inference(conjunct, [], [normalize_36_0])). fof(normalize_36_2, plain, (~ p1(skolemFOFtoCNF_A_8)), inference(skolemize, [], [normalize_36_1])). fof(normalize_36_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_36_0])). fof(normalize_36_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_36_3])). cnf(refute_36_0, plain, (~ p1(skolemFOFtoCNF_A_8)), inference(canonicalize, [], [normalize_36_2])). cnf(refute_36_1, plain, (p1(X)), inference(canonicalize, [], [normalize_36_4])). cnf(refute_36_2, plain, (p1(skolemFOFtoCNF_A_8)), inference(subst, [], [refute_36_1 : [bind(X, $fot(skolemFOFtoCNF_A_8))]])). cnf(refute_36_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_8))], [refute_36_2, refute_36_0])). fof(negate_37_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X)))), inference(negate, [], [subgoal_37])). fof(normalize_37_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : a1(X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : b(X) & ! [X] : (~ a1(X) | ~ b(X)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_37_0])). fof(normalize_37_1, plain, (? [X] : a1(X)), inference(conjunct, [], [normalize_37_0])). fof(normalize_37_2, plain, (a1(skolemFOFtoCNF_X_377)), inference(skolemize, [], [normalize_37_1])). fof(normalize_37_3, plain, (! [X] : (~ a1(X) | ~ b(X))), inference(conjunct, [], [normalize_37_0])). fof(normalize_37_4, plain, (! [X] : b(X)), inference(conjunct, [], [normalize_37_0])). fof(normalize_37_5, plain, (! [X] : b(X)), inference(specialize, [], [normalize_37_4])). fof(normalize_37_6, plain, (! [X] : ~ a1(X)), inference(simplify, [], [normalize_37_3, normalize_37_5])). fof(normalize_37_7, plain, (! [X] : ~ a1(X)), inference(specialize, [], [normalize_37_6])). cnf(refute_37_0, plain, (a1(skolemFOFtoCNF_X_377)), inference(canonicalize, [], [normalize_37_2])). cnf(refute_37_1, plain, (~ a1(X)), inference(canonicalize, [], [normalize_37_7])). cnf(refute_37_2, plain, (~ a1(skolemFOFtoCNF_X_377)), inference(subst, [], [refute_37_1 : [bind(X, $fot(skolemFOFtoCNF_X_377))]])). cnf(refute_37_3, plain, ($false), inference(resolve, [$cnf(a1(skolemFOFtoCNF_X_377))], [refute_37_0, refute_37_2])). fof(negate_38_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X)))) => ! [Y] : ~ ! [X] : (a(X, Y) <=> ~ a(X, X)))), inference(negate, [], [subgoal_38])). fof(normalize_38_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Y] : ! [X] : (~ a(X, X) <=> a(X, Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_38_0])). fof(normalize_38_1, plain, (? [Y] : ! [X] : (~ a(X, X) <=> a(X, Y))), inference(conjunct, [], [normalize_38_0])). fof(normalize_38_2, plain, (! [X] : (~ a(X, X) <=> a(X, skolemFOFtoCNF_Y_295))), inference(skolemize, [], [normalize_38_1])). fof(normalize_38_3, plain, (! [X] : (~ a(X, X) <=> a(X, skolemFOFtoCNF_Y_295))), inference(specialize, [], [normalize_38_2])). fof(normalize_38_4, plain, (! [X] : ((~ a(X, X) | ~ a(X, skolemFOFtoCNF_Y_295)) & (a(X, X) | a(X, skolemFOFtoCNF_Y_295)))), inference(clausify, [], [normalize_38_3])). fof(normalize_38_5, plain, (! [X] : (a(X, X) | a(X, skolemFOFtoCNF_Y_295))), inference(conjunct, [], [normalize_38_4])). fof(normalize_38_6, plain, (! [X] : (~ a(X, X) | ~ a(X, skolemFOFtoCNF_Y_295))), inference(conjunct, [], [normalize_38_4])). cnf(refute_38_0, plain, (a(X, X) | a(X, skolemFOFtoCNF_Y_295)), inference(canonicalize, [], [normalize_38_5])). cnf(refute_38_1, plain, (a(skolemFOFtoCNF_Y_295, skolemFOFtoCNF_Y_295)), inference(subst, [], [refute_38_0 : [bind(X, $fot(skolemFOFtoCNF_Y_295))]])). cnf(refute_38_2, plain, (~ a(X, X) | ~ a(X, skolemFOFtoCNF_Y_295)), inference(canonicalize, [], [normalize_38_6])). cnf(refute_38_3, plain, (~ a(skolemFOFtoCNF_Y_295, skolemFOFtoCNF_Y_295)), inference(subst, [], [refute_38_2 : [bind(X, $fot(skolemFOFtoCNF_Y_295))]])). cnf(refute_38_4, plain, ($false), inference(resolve, [$cnf(a(skolemFOFtoCNF_Y_295, skolemFOFtoCNF_Y_295))], [refute_38_1, refute_38_3])). fof(negate_39_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & ! [X] : (a1(X) => b(X)) & ? [X] : a1(X)) => ? [X] : b(X))), inference(negate, [], [subgoal_39])). fof(normalize_39_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : a1(X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : ~ b(X) & ! [X] : (~ a1(X) | b(X)) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_39_0])). fof(normalize_39_1, plain, (? [X] : a1(X)), inference(conjunct, [], [normalize_39_0])). fof(normalize_39_2, plain, (a1(skolemFOFtoCNF_X_430)), inference(skolemize, [], [normalize_39_1])). fof(normalize_39_3, plain, (! [X] : (~ a1(X) | b(X))), inference(conjunct, [], [normalize_39_0])). fof(normalize_39_4, plain, (! [X] : ~ b(X)), inference(conjunct, [], [normalize_39_0])). fof(normalize_39_5, plain, (! [X] : ~ b(X)), inference(specialize, [], [normalize_39_4])). fof(normalize_39_6, plain, (! [X] : ~ a1(X)), inference(simplify, [], [normalize_39_3, normalize_39_5])). fof(normalize_39_7, plain, (! [X] : ~ a1(X)), inference(specialize, [], [normalize_39_6])). cnf(refute_39_0, plain, (a1(skolemFOFtoCNF_X_430)), inference(canonicalize, [], [normalize_39_2])). cnf(refute_39_1, plain, (~ a1(X)), inference(canonicalize, [], [normalize_39_7])). cnf(refute_39_2, plain, (~ a1(skolemFOFtoCNF_X_430)), inference(subst, [], [refute_39_1 : [bind(X, $fot(skolemFOFtoCNF_X_430))]])). cnf(refute_39_3, plain, ($false), inference(resolve, [$cnf(a1(skolemFOFtoCNF_X_430))], [refute_39_0, refute_39_2])). fof(negate_40_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & ! [X] : (p1(X) => q1(X)) & ! [X] : p1(X)) => ! [X] : q1(X))), inference(negate, [], [subgoal_40])). fof(normalize_40_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : ~ q1(X) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [X] : (~ p1(X) | q1(X)) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_40_0])). fof(normalize_40_1, plain, (? [X] : ~ q1(X)), inference(conjunct, [], [normalize_40_0])). fof(normalize_40_2, plain, (~ q1(skolemFOFtoCNF_X_460)), inference(skolemize, [], [normalize_40_1])). fof(normalize_40_3, plain, (! [X] : (~ p1(X) | q1(X))), inference(conjunct, [], [normalize_40_0])). fof(normalize_40_4, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_40_0])). fof(normalize_40_5, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_40_4])). fof(normalize_40_6, plain, (! [X] : q1(X)), inference(simplify, [], [normalize_40_3, normalize_40_5])). fof(normalize_40_7, plain, (! [X] : q1(X)), inference(specialize, [], [normalize_40_6])). cnf(refute_40_0, plain, (~ q1(skolemFOFtoCNF_X_460)), inference(canonicalize, [], [normalize_40_2])). cnf(refute_40_1, plain, (q1(X)), inference(canonicalize, [], [normalize_40_7])). cnf(refute_40_2, plain, (q1(skolemFOFtoCNF_X_460)), inference(subst, [], [refute_40_1 : [bind(X, $fot(skolemFOFtoCNF_X_460))]])). cnf(refute_40_3, plain, ($false), inference(resolve, [$cnf(q1(skolemFOFtoCNF_X_460))], [refute_40_2, refute_40_0])). fof(negate_41_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & ! [X] : p1(X)) => ? [Y] : p1(Y))), inference(negate, [], [subgoal_41])). fof(normalize_41_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [Y] : ~ p1(Y) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_41_0])). fof(normalize_41_1, plain, (! [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_41_0])). fof(normalize_41_2, plain, (! [Y] : ~ p1(Y)), inference(specialize, [], [normalize_41_1])). fof(normalize_41_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_41_0])). fof(normalize_41_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_41_3])). cnf(refute_41_0, plain, (~ p1(Y)), inference(canonicalize, [], [normalize_41_2])). cnf(refute_41_1, plain, (p1(X)), inference(canonicalize, [], [normalize_41_4])). cnf(refute_41_2, plain, (p1(Y)), inference(subst, [], [refute_41_1 : [bind(X, $fot(Y))]])). cnf(refute_41_3, plain, ($false), inference(resolve, [$cnf(p1(Y))], [refute_41_2, refute_41_0])). fof(negate_42_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & ? [X] : p1(X) & a0 & ~ b0) => ~ b0)), inference(negate, [], [subgoal_42])). fof(normalize_42_0, plain, ($false), inference(canonicalize, [], [negate_42_0])). cnf(refute_42_0, plain, ($false), inference(canonicalize, [], [normalize_42_0])). fof(negate_43_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & ? [X] : p1(X) & a0 & (b0 | ~ b0) & q0) => q0)), inference(negate, [], [subgoal_43])). fof(normalize_43_0, plain, ($false), inference(canonicalize, [], [negate_43_0])). cnf(refute_43_0, plain, ($false), inference(canonicalize, [], [normalize_43_0])). fof(negate_44_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & ? [X] : p1(X) & (a0 => ((b0 | ~ b0) & (q0 => q0)))) => ? [X] : p1(X))), inference(negate, [], [subgoal_44])). fof(normalize_44_0, plain, ($false), inference(canonicalize, [], [negate_44_0])). cnf(refute_44_0, plain, ($false), inference(canonicalize, [], [normalize_44_0])). fof(negate_45_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y)))), inference(negate, [], [subgoal_45])). fof(normalize_45_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Y] : ~ p1(Y) & ? [Y] : q1(Y) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [Z] : ~ r1(Z) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_45_0])). fof(normalize_45_1, plain, (? [Y] : ~ p1(Y)), inference(conjunct, [], [normalize_45_0])). fof(normalize_45_2, plain, (~ p1(skolemFOFtoCNF_Y_365)), inference(skolemize, [], [normalize_45_1])). fof(normalize_45_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_45_0])). fof(normalize_45_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_45_3])). cnf(refute_45_0, plain, (~ p1(skolemFOFtoCNF_Y_365)), inference(canonicalize, [], [normalize_45_2])). cnf(refute_45_1, plain, (p1(X)), inference(canonicalize, [], [normalize_45_4])). cnf(refute_45_2, plain, (p1(skolemFOFtoCNF_Y_365)), inference(subst, [], [refute_45_1 : [bind(X, $fot(skolemFOFtoCNF_Y_365))]])). cnf(refute_45_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_Y_365))], [refute_45_2, refute_45_0])). fof(negate_46_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & ! [X] : p1(X)) => ! [A, B] : p1(A))), inference(negate, [], [subgoal_46])). fof(normalize_46_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [A] : ~ p1(A) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_46_0])). fof(normalize_46_1, plain, (? [A] : ~ p1(A)), inference(conjunct, [], [normalize_46_0])). fof(normalize_46_2, plain, (~ p1(skolemFOFtoCNF_A_9)), inference(skolemize, [], [normalize_46_1])). fof(normalize_46_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_46_0])). fof(normalize_46_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_46_3])). cnf(refute_46_0, plain, (~ p1(skolemFOFtoCNF_A_9)), inference(canonicalize, [], [normalize_46_2])). cnf(refute_46_1, plain, (p1(X)), inference(canonicalize, [], [normalize_46_4])). cnf(refute_46_2, plain, (p1(skolemFOFtoCNF_A_9)), inference(subst, [], [refute_46_1 : [bind(X, $fot(skolemFOFtoCNF_A_9))]])). cnf(refute_46_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_9))], [refute_46_2, refute_46_0])). fof(negate_47_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & ! [X] : p1(X)) => ! [A, B] : (p1(A) => p1(B)))), inference(negate, [], [subgoal_47])). fof(normalize_47_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [A] : p1(A) & ? [B] : ~ p1(B) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : p1(X) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_47_0])). fof(normalize_47_1, plain, (? [B] : ~ p1(B)), inference(conjunct, [], [normalize_47_0])). fof(normalize_47_2, plain, (~ p1(skolemFOFtoCNF_B_12)), inference(skolemize, [], [normalize_47_1])). fof(normalize_47_3, plain, (! [X] : p1(X)), inference(conjunct, [], [normalize_47_0])). fof(normalize_47_4, plain, (! [X] : p1(X)), inference(specialize, [], [normalize_47_3])). cnf(refute_47_0, plain, (~ p1(skolemFOFtoCNF_B_12)), inference(canonicalize, [], [normalize_47_2])). cnf(refute_47_1, plain, (p1(X)), inference(canonicalize, [], [normalize_47_4])). cnf(refute_47_2, plain, (p1(skolemFOFtoCNF_B_12)), inference(subst, [], [refute_47_1 : [bind(X, $fot(skolemFOFtoCNF_B_12))]])). cnf(refute_47_3, plain, ($false), inference(resolve, [$cnf(p1(skolemFOFtoCNF_B_12))], [refute_47_2, refute_47_0])). fof(negate_48_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B)))) => ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))))), inference(negate, [], [subgoal_48])). fof(normalize_48_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [A] : (e(A) & p1(A) & ! [X] : (~ e(X) | g(X) | s(X, f(X))) & ! [X2] : (~ e(X2) | c(f(X2)) | g(X2)) & ! [X3] : (~ g(X3) | ~ p1(X3)) & ! [X4] : (~ c(X4) | ~ p1(X4)) & ! [Y] : (~ s(A, Y) | p1(Y))) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_48_0])). fof(normalize_48_1, plain, (? [A] : (e(A) & p1(A) & ! [X] : (~ e(X) | g(X) | s(X, f(X))) & ! [X2] : (~ e(X2) | c(f(X2)) | g(X2)) & ! [X3] : (~ g(X3) | ~ p1(X3)) & ! [X4] : (~ c(X4) | ~ p1(X4)) & ! [Y] : (~ s(A, Y) | p1(Y)))), inference(conjunct, [], [normalize_48_0])). fof(normalize_48_2, plain, (e(skolemFOFtoCNF_A_11) & p1(skolemFOFtoCNF_A_11) & ! [X] : (~ e(X) | g(X) | s(X, f(X))) & ! [X2] : (~ e(X2) | c(f(X2)) | g(X2)) & ! [X3] : (~ g(X3) | ~ p1(X3)) & ! [X4] : (~ c(X4) | ~ p1(X4)) & ! [Y] : (~ s(skolemFOFtoCNF_A_11, Y) | p1(Y))), inference(skolemize, [], [normalize_48_1])). fof(normalize_48_3, plain, (! [X4] : (~ c(X4) | ~ p1(X4))), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_4, plain, (! [X4] : (~ c(X4) | ~ p1(X4))), inference(specialize, [], [normalize_48_3])). fof(normalize_48_5, plain, (! [Y] : (~ s(skolemFOFtoCNF_A_11, Y) | p1(Y))), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_6, plain, (! [Y] : (~ s(skolemFOFtoCNF_A_11, Y) | p1(Y))), inference(specialize, [], [normalize_48_5])). fof(normalize_48_7, plain, (e(skolemFOFtoCNF_A_11)), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_8, plain, (! [X] : (~ e(X) | g(X) | s(X, f(X)))), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_9, plain, (! [X] : (~ e(X) | g(X) | s(X, f(X)))), inference(specialize, [], [normalize_48_8])). fof(normalize_48_10, plain, (p1(skolemFOFtoCNF_A_11)), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_11, plain, (! [X3] : (~ g(X3) | ~ p1(X3))), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_12, plain, (! [X3] : (~ g(X3) | ~ p1(X3))), inference(specialize, [], [normalize_48_11])). fof(normalize_48_13, plain, (! [X2] : (~ e(X2) | c(f(X2)) | g(X2))), inference(conjunct, [], [normalize_48_2])). fof(normalize_48_14, plain, (! [X2] : (~ e(X2) | c(f(X2)) | g(X2))), inference(specialize, [], [normalize_48_13])). cnf(refute_48_0, plain, (~ c(X4) | ~ p1(X4)), inference(canonicalize, [], [normalize_48_4])). cnf(refute_48_1, plain, (~ c(f(skolemFOFtoCNF_A_11)) | ~ p1(f(skolemFOFtoCNF_A_11))), inference(subst, [], [refute_48_0 : [bind(X4, $fot(f(skolemFOFtoCNF_A_11)))]])). cnf(refute_48_2, plain, (~ s(skolemFOFtoCNF_A_11, Y) | p1(Y)), inference(canonicalize, [], [normalize_48_6])). cnf(refute_48_3, plain, (~ s(skolemFOFtoCNF_A_11, f(skolemFOFtoCNF_A_11)) | p1(f(skolemFOFtoCNF_A_11))), inference(subst, [], [refute_48_2 : [bind(Y, $fot(f(skolemFOFtoCNF_A_11)))]])). cnf(refute_48_4, plain, (e(skolemFOFtoCNF_A_11)), inference(canonicalize, [], [normalize_48_7])). cnf(refute_48_5, plain, (~ e(X) | g(X) | s(X, f(X))), inference(canonicalize, [], [normalize_48_9])). cnf(refute_48_6, plain, (~ e(skolemFOFtoCNF_A_11) | g(skolemFOFtoCNF_A_11) | s(skolemFOFtoCNF_A_11, f(skolemFOFtoCNF_A_11))), inference(subst, [], [refute_48_5 : [bind(X, $fot(skolemFOFtoCNF_A_11))]])). cnf(refute_48_7, plain, (g(skolemFOFtoCNF_A_11) | s(skolemFOFtoCNF_A_11, f(skolemFOFtoCNF_A_11))), inference(resolve, [$cnf(e(skolemFOFtoCNF_A_11))], [refute_48_4, refute_48_6])). cnf(refute_48_8, plain, (p1(skolemFOFtoCNF_A_11)), inference(canonicalize, [], [normalize_48_10])). cnf(refute_48_9, plain, (~ g(X3) | ~ p1(X3)), inference(canonicalize, [], [normalize_48_12])). cnf(refute_48_10, plain, (~ g(skolemFOFtoCNF_A_11) | ~ p1(skolemFOFtoCNF_A_11)), inference(subst, [], [refute_48_9 : [bind(X3, $fot(skolemFOFtoCNF_A_11))]])). cnf(refute_48_11, plain, (~ g(skolemFOFtoCNF_A_11)), inference(resolve, [$cnf(p1(skolemFOFtoCNF_A_11))], [refute_48_8, refute_48_10])). cnf(refute_48_12, plain, (s(skolemFOFtoCNF_A_11, f(skolemFOFtoCNF_A_11))), inference(resolve, [$cnf(g(skolemFOFtoCNF_A_11))], [refute_48_7, refute_48_11])). cnf(refute_48_13, plain, (p1(f(skolemFOFtoCNF_A_11))), inference(resolve, [$cnf(s(skolemFOFtoCNF_A_11, f(skolemFOFtoCNF_A_11)))], [refute_48_12, refute_48_3])). cnf(refute_48_14, plain, (~ c(f(skolemFOFtoCNF_A_11))), inference(resolve, [$cnf(p1(f(skolemFOFtoCNF_A_11)))], [refute_48_13, refute_48_1])). cnf(refute_48_15, plain, (~ e(X2) | c(f(X2)) | g(X2)), inference(canonicalize, [], [normalize_48_14])). cnf(refute_48_16, plain, (~ e(skolemFOFtoCNF_A_11) | c(f(skolemFOFtoCNF_A_11)) | g(skolemFOFtoCNF_A_11)), inference(subst, [], [refute_48_15 : [bind(X2, $fot(skolemFOFtoCNF_A_11))]])). cnf(refute_48_17, plain, (c(f(skolemFOFtoCNF_A_11)) | g(skolemFOFtoCNF_A_11)), inference(resolve, [$cnf(e(skolemFOFtoCNF_A_11))], [refute_48_4, refute_48_16])). cnf(refute_48_18, plain, (c(f(skolemFOFtoCNF_A_11))), inference(resolve, [$cnf(g(skolemFOFtoCNF_A_11))], [refute_48_17, refute_48_11])). cnf(refute_48_19, plain, ($false), inference(resolve, [$cnf(c(f(skolemFOFtoCNF_A_11)))], [refute_48_18, refute_48_14])). fof(negate_49_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X)))), inference(negate, [], [subgoal_49])). fof(normalize_49_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [X] : (~ b(X) & a1(X)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [A] : (~ e(A) | ~ p1(A) | ? [X] : (~ g(X) & ~ s(X, f(X)) & e(X)) | ? [X2] : (~ c(f(X2)) & ~ g(X2) & e(X2)) | ? [X3] : (g(X3) & p1(X3)) | ? [X4] : (c(X4) & p1(X4)) | ? [Y] : (~ p1(Y) & s(A, Y))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [X] : (~ a1(X) | ~ c(X)) & ! [X] : (~ a1(X) | b(X) | c(X)) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_49_0])). fof(normalize_49_1, plain, (! [X] : (~ a1(X) | ~ c(X))), inference(conjunct, [], [normalize_49_0])). fof(normalize_49_2, plain, (! [X] : (~ a1(X) | ~ c(X))), inference(specialize, [], [normalize_49_1])). fof(normalize_49_3, plain, (? [X] : (~ b(X) & a1(X))), inference(conjunct, [], [normalize_49_0])). fof(normalize_49_4, plain, (~ b(skolemFOFtoCNF_X_647) & a1(skolemFOFtoCNF_X_647)), inference(skolemize, [], [normalize_49_3])). fof(normalize_49_5, plain, (a1(skolemFOFtoCNF_X_647)), inference(conjunct, [], [normalize_49_4])). fof(normalize_49_6, plain, (! [X] : (~ a1(X) | b(X) | c(X))), inference(conjunct, [], [normalize_49_0])). fof(normalize_49_7, plain, (! [X] : (~ a1(X) | b(X) | c(X))), inference(specialize, [], [normalize_49_6])). fof(normalize_49_8, plain, (~ b(skolemFOFtoCNF_X_647)), inference(conjunct, [], [normalize_49_4])). cnf(refute_49_0, plain, (~ a1(X) | ~ c(X)), inference(canonicalize, [], [normalize_49_2])). cnf(refute_49_1, plain, (~ a1(skolemFOFtoCNF_X_647) | ~ c(skolemFOFtoCNF_X_647)), inference(subst, [], [refute_49_0 : [bind(X, $fot(skolemFOFtoCNF_X_647))]])). cnf(refute_49_2, plain, (a1(skolemFOFtoCNF_X_647)), inference(canonicalize, [], [normalize_49_5])). cnf(refute_49_3, plain, (~ a1(X) | b(X) | c(X)), inference(canonicalize, [], [normalize_49_7])). cnf(refute_49_4, plain, (~ a1(skolemFOFtoCNF_X_647) | b(skolemFOFtoCNF_X_647) | c(skolemFOFtoCNF_X_647)), inference(subst, [], [refute_49_3 : [bind(X, $fot(skolemFOFtoCNF_X_647))]])). cnf(refute_49_5, plain, (b(skolemFOFtoCNF_X_647) | c(skolemFOFtoCNF_X_647)), inference(resolve, [$cnf(a1(skolemFOFtoCNF_X_647))], [refute_49_2, refute_49_4])). cnf(refute_49_6, plain, (~ b(skolemFOFtoCNF_X_647)), inference(canonicalize, [], [normalize_49_8])). cnf(refute_49_7, plain, (c(skolemFOFtoCNF_X_647)), inference(resolve, [$cnf(b(skolemFOFtoCNF_X_647))], [refute_49_5, refute_49_6])). cnf(refute_49_8, plain, (~ a1(skolemFOFtoCNF_X_647)), inference(resolve, [$cnf(c(skolemFOFtoCNF_X_647))], [refute_49_7, refute_49_1])). cnf(refute_49_9, plain, ($false), inference(resolve, [$cnf(a1(skolemFOFtoCNF_X_647))], [refute_49_2, refute_49_8])). fof(negate_50_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ((~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X)))) => ! [B, C] : (q1(f(B)) => ? [X, Y] : ((p1(f(Y)) => ((r1(Y) => (r1(B) & r1(C))) & p1(X))) & q1(X))))), inference(negate, [], [subgoal_50])). fof(normalize_50_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & (? [X] : (a1(X) & c(X)) | ? [X] : (~ b(X) & ~ c(X) & a1(X)) | ! [X] : (~ a1(X) | b(X))) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [B] : (q1(f(B)) & ? [C] : ! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(B) | ~ r1(C)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ! [A] : (~ e(A) | ~ p1(A) | ? [X] : (~ g(X) & ~ s(X, f(X)) & e(X)) | ? [X2] : (~ c(f(X2)) & ~ g(X2) & e(X2)) | ? [X3] : (g(X3) & p1(X3)) | ? [X4] : (c(X4) & p1(X4)) | ? [Y] : (~ p1(Y) & s(A, Y))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_50_0])). fof(normalize_50_1, plain, (? [B] : (q1(f(B)) & ? [C] : ! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(B) | ~ r1(C)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y)))))), inference(conjunct, [], [normalize_50_0])). fof(normalize_50_2, plain, (q1(f(skolemFOFtoCNF_B_13)) & ? [C] : ! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(C) | ~ r1(skolemFOFtoCNF_B_13)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(skolemize, [], [normalize_50_1])). fof(normalize_50_3, plain, (q1(f(skolemFOFtoCNF_B_13))), inference(conjunct, [], [normalize_50_2])). fof(normalize_50_4, plain, (? [C] : ! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(C) | ~ r1(skolemFOFtoCNF_B_13)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(conjunct, [], [normalize_50_2])). fof(normalize_50_5, plain, (! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(skolemFOFtoCNF_B_13) | ~ r1(skolemFOFtoCNF_C_2)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(skolemize, [], [normalize_50_4])). fof(normalize_50_6, plain, (! [X] : (~ q1(X) | ((~ p1(X) | ((~ r1(skolemFOFtoCNF_B_13) | ~ r1(skolemFOFtoCNF_C_2)) & ! [Y] : r1(Y))) & ! [Y] : p1(f(Y))))), inference(specialize, [], [normalize_50_5])). fof(normalize_50_7, plain, (! [X, Y] : ((~ q1(X) | p1(f(Y))) & (~ p1(X) | ~ q1(X) | r1(Y)) & (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B_13) | ~ r1(skolemFOFtoCNF_C_2)))), inference(clausify, [], [normalize_50_6])). fof(normalize_50_8, plain, (! [X] : (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B_13) | ~ r1(skolemFOFtoCNF_C_2))), inference(conjunct, [], [normalize_50_7])). fof(normalize_50_9, plain, (! [X, Y] : (~ p1(X) | ~ q1(X) | r1(Y))), inference(conjunct, [], [normalize_50_7])). fof(normalize_50_10, plain, (! [X, Y] : (~ q1(X) | p1(f(Y)))), inference(conjunct, [], [normalize_50_7])). cnf(refute_50_0, plain, (q1(f(skolemFOFtoCNF_B_13))), inference(canonicalize, [], [normalize_50_3])). cnf(refute_50_1, plain, (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B_13) | ~ r1(skolemFOFtoCNF_C_2)), inference(canonicalize, [], [normalize_50_8])). cnf(refute_50_2, plain, (~ p1(X) | ~ q1(X) | r1(Y)), inference(canonicalize, [], [normalize_50_9])). cnf(refute_50_3, plain, (~ p1(f(skolemFOFtoCNF_B_13)) | ~ q1(f(skolemFOFtoCNF_B_13)) | r1(X_223)), inference(subst, [], [refute_50_2 : [bind(X, $fot(f(skolemFOFtoCNF_B_13))), bind(Y, $fot(X_223))]])). cnf(refute_50_4, plain, (~ p1(f(skolemFOFtoCNF_B_13)) | r1(X_223)), inference(resolve, [$cnf(q1(f(skolemFOFtoCNF_B_13)))], [refute_50_0, refute_50_3])). cnf(refute_50_5, plain, (~ q1(X) | p1(f(Y))), inference(canonicalize, [], [normalize_50_10])). cnf(refute_50_6, plain, (~ q1(f(skolemFOFtoCNF_B_13)) | p1(f(X_197))), inference(subst, [], [refute_50_5 : [bind(X, $fot(f(skolemFOFtoCNF_B_13))), bind(Y, $fot(X_197))]])). cnf(refute_50_7, plain, (p1(f(X_197))), inference(resolve, [$cnf(q1(f(skolemFOFtoCNF_B_13)))], [refute_50_0, refute_50_6])). cnf(refute_50_8, plain, (p1(f(skolemFOFtoCNF_B_13))), inference(subst, [], [refute_50_7 : [bind(X_197, $fot(skolemFOFtoCNF_B_13))]])). cnf(refute_50_9, plain, (r1(X_223)), inference(resolve, [$cnf(p1(f(skolemFOFtoCNF_B_13)))], [refute_50_8, refute_50_4])). cnf(refute_50_10, plain, (r1(skolemFOFtoCNF_B_13)), inference(subst, [], [refute_50_9 : [bind(X_223, $fot(skolemFOFtoCNF_B_13))]])). cnf(refute_50_11, plain, (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_C_2)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B_13))], [refute_50_10, refute_50_1])). cnf(refute_50_12, plain, (r1(skolemFOFtoCNF_C_2)), inference(subst, [], [refute_50_9 : [bind(X_223, $fot(skolemFOFtoCNF_C_2))]])). cnf(refute_50_13, plain, (~ p1(X) | ~ q1(X)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_C_2))], [refute_50_12, refute_50_11])). cnf(refute_50_14, plain, (~ p1(f(skolemFOFtoCNF_B_13)) | ~ q1(f(skolemFOFtoCNF_B_13))), inference(subst, [], [refute_50_13 : [bind(X, $fot(f(skolemFOFtoCNF_B_13)))]])). cnf(refute_50_15, plain, (~ p1(f(skolemFOFtoCNF_B_13))), inference(resolve, [$cnf(q1(f(skolemFOFtoCNF_B_13)))], [refute_50_0, refute_50_14])). cnf(refute_50_16, plain, ($false), inference(resolve, [$cnf(p1(f(skolemFOFtoCNF_B_13)))], [refute_50_8, refute_50_15])). fof(negate_51_0, plain, (~ ((! [B, C] : (! [Z] : q1(f(Z)) => ? [X, Y] : (q1(X) & (p1(f(Y)) => (p1(X) & (r1(Y) => (r1(B) & r1(C))))))) & ! [A, B, C] : ((r(B, C) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & s1(B) & s1(A)) => ? [X, Y] : (q(X, Y) & p1(X))) & (! [X] : ? [Y] : (p1(X) & q1(Y)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : ? [Y] : (a(Y, Y) & a(X, Y)) => ? [Z] : a(Z, Z)) & ! [A, B, C] : ((s1(A) & ! [X] : (s1(X) => p1(X)) & ! [X, Y] : (r(X, Y) => q(X, Y)) & r(B, C) & s1(B)) => ? [X, Y] : (q(X, Y) & p1(X))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((p1(X) => p1(A)) & (q1(X) => p1(B)))) & ! [A, B] : (! [Z] : (q1(Z) => p1(Z)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (? [X] : (a1(X) => b(X)) => (! [X] : a1(X) => ? [X] : b(X))) & (? [X] : b(X) => ? [X] : (b(X) | a1(X))) & (? [Y, X] : a(X, Y) <=> ? [X, Y] : a(X, Y)) & (? [Y] : p1(Y) <=> ? [X] : p1(X)) & ? [Z] : ! [X] : ? [Y] : (((p(Z, Y) & p(Y, Z)) => p(Y, X)) & (p(Y, X) => ? [W] : p(W, Y))) & ? [X] : ! [Y] : (p1(X) => p1(Y)) & ! [A, B] : ? [X, Y] : ((p1(X) => r1(Y)) => (p1(A) => r1(B))) & (? [X] : p1(X) => ? [Y] : p1(Y)) & (! [X, Y] : p(X, Y) => ! [X] : p(X, X)) & (a0 | b0 | (b0 <=> a0)) & ((! [X] : (p1(X) => q1(X)) & ? [Y] : (q1(Y) => r1(Y))) => ? [Z] : (p1(Z) => r1(Z))) & ! [B] : (! [Y] : ((r1(B) => r1(Y)) => p(f(Y), Y)) => ? [X, Y] : (p(X, Y) & (q(f(B), B) => q(X, Y)))) & ! [A, B] : ? [X, Y] : (((q1(X) => p(X, A)) & q1(A) & q1(B) & r1(A) & r1(B) & s1(A) & (s1(A) => p(X, Y)) & (r1(Y) => p(B, Y))) => p(A, B)) & ((a0 & b0) => (b0 <=> a0)) & ! [A] : (((g0 | f0) & ! [X] : (p1(X) & q1(X))) => q1(A)) & (p1(z) => p1(z)) & (? [X] : ! [Y] : p(X, Y) => ! [Y] : ? [X] : p(X, Y)) & ? [Y] : (? [X] : p1(X) => p1(Y)) & ! [B] : ((r1(B) & ! [X] : (p1(X) => q1(X))) => (! [Y] : (r1(Y) => p1(Y)) => q1(B))) & ! [A, B] : (! [Y] : (q1(Y) => p1(Y)) => ? [X] : ((q1(X) => p1(B)) & (p1(X) => p1(A)))) & (! [X, Y] : (! [Z] : (a_member_of(Z, Y) <=> a_member_of(Z, X)) <=> eq(X, Y)) => ! [A, B] : (eq(A, B) => eq(B, A))) & (? [X] : p1(X) => ? [Z] : p1(Z)) & (! [X] : p1(X) => (! [Y] : p1(Y) & ! [X] : p1(X))) & ! [A, B] : (! [X] : p1(X) => (p1(B) & p1(A))) & ((? [X] : a1(X) & ! [X] : b(X)) => ? [X] : (b(X) & a1(X))) & ~ ? [Y] : ! [X] : (a(X, Y) <=> ~ a(X, X)) & (! [X] : (a1(X) => b(X)) => (? [X] : a1(X) => ? [X] : b(X))) & (! [X] : (p1(X) => q1(X)) => (! [X] : p1(X) => ! [X] : q1(X))) & (! [X] : p1(X) => ? [Y] : p1(Y)) & (? [X] : p1(X) => ((a0 => ((b0 | ~ b0) & (q0 => q0))) & ? [X] : p1(X))) & ((? [Y] : q1(Y) & ! [X] : p1(X)) => ? [Z] : ! [Y] : (r1(Z) | p1(Y))) & (! [X] : p1(X) => ! [A, B] : (p1(A) & p1(B))) & ! [A] : ? [X, X2, X3, X4, Y] : ((p1(A) & e(A) & (e(X) => (s(X, f(X)) | g(X))) & (e(X2) => (c(f(X2)) | g(X2))) & (s(A, Y) => p1(Y))) => ((p1(X3) & g(X3)) | (p1(X4) & c(X4)))) & ((~ ! [X] : (a1(X) => b(X)) & ! [X] : (a1(X) => (b(X) | c(X)))) => ? [X] : (c(X) & a1(X))) & ! [B, C] : (q1(f(B)) => ? [X, Y] : ((p1(f(Y)) => ((r1(Y) => (r1(B) & r1(C))) & p1(X))) & q1(X)))) => ! [C, B] : (! [Z] : q1(f(Z)) => ? [X, Y] : ((p1(f(Y)) => p1(X)) & (r1(Y) => (r1(B) & r1(C))) & q1(X))))), inference(negate, [], [subgoal_51])). fof(normalize_51_0, plain, (((! [A] : p1(A) & ! [B] : p1(B)) | ? [X] : ~ p1(X)) & ((! [X] : p1(X) & ! [Y] : p1(Y)) | ? [X] : ~ p1(X)) & (? [X] : ~ p1(X) | ? [Y] : p1(Y)) & (? [X] : ~ p1(X) | ! [Y] : p1(Y)) & (? [X] : ! [Y] : (~ a(X, Y) | ~ a(Y, Y)) | ? [Z] : a(Z, Z)) & (? [Y] : p1(Y) | ! [X] : ~ p1(X)) & (? [Y] : (~ p1(Y) & q1(Y)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [Z] : ~ q1(f(Z)) | ! [B, C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & (? [Z] : p1(Z) | ! [X] : ~ p1(X)) & (? [Z] : (~ p1(Z) & q1(Z)) | ! [A, B] : ? [X] : ((~ p1(X) | p1(A)) & (~ q1(X) | p1(B)))) & (? [X, Y] : ~ p(X, Y) | ! [X] : p(X, X)) & (? [X, Y] : (~ eq(X, Y) <=> ! [Z] : (~ a_member_of(Z, X) <=> ~ a_member_of(Z, Y))) | ! [A, B] : (~ eq(A, B) | eq(B, A))) & (! [X] : ? [Y] : ~ p(X, Y) | ! [Y] : ? [X] : p(X, Y)) & (~ a0 | ~ b0 | (~ a0 <=> ~ b0)) & (a0 | b0 | (~ a0 <=> ~ b0)) & ((? [X] : p1(X) & ? [Y] : ~ r1(Y)) | ! [A] : ~ p1(A) | ! [B] : r1(B)) & ((! [X] : ~ b(X) & ! [X] : a1(X)) | ? [X] : ~ a1(X) | ? [X] : b(X)) & (? [X] : ~ b(X) | ? [X] : (a1(X) & b(X)) | ! [X] : ~ a1(X)) & (? [X] : ~ p1(X) | ? [X] : (~ q1(X) & p1(X)) | ! [X] : q1(X)) & (? [X] : b(X) | ? [X] : (~ b(X) & a1(X)) | ! [X] : ~ a1(X)) & (? [X] : (a1(X) & c(X)) | ? [X] : (~ b(X) & ~ c(X) & a1(X)) | ! [X] : (~ a1(X) | b(X))) & ((~ f0 & ~ g0) | ? [X] : ~ p1(X) | ? [X] : ~ q1(X) | ! [A] : q1(A)) & ((! [Y] : ~ r1(Y) & ! [Y] : q1(Y)) | ? [X] : (~ q1(X) & p1(X)) | ? [Z] : ~ p1(Z) | ? [Z] : r1(Z)) & (? [X] : ~ p1(X) | ? [Z] : r1(Z) | ! [Y] : ~ q1(Y) | ! [Y] : p1(Y)) & (? [X] : p1(X) <=> ? [Y] : p1(Y)) & ? [Z] : ! [X] : ? [Y] : ((~ p(Y, X) | ? [W] : p(W, Y)) & (~ p(Y, Z) | ~ p(Z, Y) | p(Y, X))) & ? [B, C] : ! [X, Y] : (~ q1(X) | (~ p1(X) & p1(f(Y))) | (r1(Y) & (~ r1(B) | ~ r1(C)))) & ! [A] : (~ e(A) | ~ p1(A) | ? [X] : (~ g(X) & ~ s(X, f(X)) & e(X)) | ? [X2] : (~ c(f(X2)) & ~ g(X2) & e(X2)) | ? [X3] : (g(X3) & p1(X3)) | ? [X4] : (c(X4) & p1(X4)) | ? [Y] : (~ p1(Y) & s(A, Y))) & ! [B] : (~ q1(f(B)) | ! [C] : ? [X] : (q1(X) & ((p1(X) & ((r1(B) & r1(C)) | ? [Y] : ~ r1(Y))) | ? [Y] : ~ p1(f(Y))))) & ! [B] : (? [Y] : (~ p(f(Y), Y) & (~ r1(B) | r1(Y))) | ? [X, Y] : (p(X, Y) & (~ q(f(B), B) | q(X, Y)))) & ! [B] : (~ r1(B) | q1(B) | ? [X] : (~ q1(X) & p1(X)) | ? [Y] : (~ p1(Y) & r1(Y))) & ! [Y] : ? [X] : (~ a(X, X) <=> ~ a(X, Y)) & ! [Z] : q1(f(Z)) & ! [A, B] : (~ s1(A) | ~ s1(B) | ? [X] : (~ p1(X) & s1(X)) | ? [X] : (p1(X) & ? [Y] : q(X, Y)) | ? [X, Y] : (~ q(X, Y) & r(X, Y)) | ! [C] : ~ r(B, C)) & ! [A, B] : (~ q1(A) | ~ q1(B) | ~ r1(A) | ~ r1(B) | ~ s1(A) | p(A, B) | (s1(A) & ? [X, Y] : ~ p(X, Y)) | ? [X] : (~ p(X, A) & q1(X)) | ? [Y] : (~ p(B, Y) & r1(Y)))), inference(canonicalize, [], [negate_51_0])). fof(normalize_51_1, plain, (! [Z] : q1(f(Z))), inference(conjunct, [], [normalize_51_0])). fof(normalize_51_2, plain, (! [Z] : q1(f(Z))), inference(specialize, [], [normalize_51_1])). fof(normalize_51_3, plain, (? [B, C] : ! [X, Y] : (~ q1(X) | (~ p1(X) & p1(f(Y))) | (r1(Y) & (~ r1(B) | ~ r1(C))))), inference(conjunct, [], [normalize_51_0])). fof(normalize_51_4, plain, (! [X, Y] : (~ q1(X) | (~ p1(X) & p1(f(Y))) | (r1(Y) & (~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3))))), inference(skolemize, [], [normalize_51_3])). fof(normalize_51_5, plain, (! [X, Y] : (~ q1(X) | (~ p1(X) & p1(f(Y))) | (r1(Y) & (~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3))))), inference(specialize, [], [normalize_51_4])). fof(normalize_51_6, plain, (! [X, Y] : ((~ p1(X) | ~ q1(X) | r1(Y)) & (~ q1(X) | p1(f(Y)) | r1(Y)) & (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3)) & (~ q1(X) | ~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3) | p1(f(Y))))), inference(clausify, [], [normalize_51_5])). fof(normalize_51_7, plain, (! [X, Y] : (~ q1(X) | ~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3) | p1(f(Y)))), inference(conjunct, [], [normalize_51_6])). fof(normalize_51_8, plain, (! [X, Y] : (~ p1(X) | ~ q1(X) | r1(Y))), inference(conjunct, [], [normalize_51_6])). fof(normalize_51_9, plain, (! [X, Y] : (~ q1(X) | p1(f(Y)) | r1(Y))), inference(conjunct, [], [normalize_51_6])). fof(normalize_51_10, plain, (! [X] : (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3))), inference(conjunct, [], [normalize_51_6])). cnf(refute_51_0, plain, (q1(f(Z))), inference(canonicalize, [], [normalize_51_2])). cnf(refute_51_1, plain, (~ q1(X) | ~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3) | p1(f(Y))), inference(canonicalize, [], [normalize_51_7])). cnf(refute_51_2, plain, (~ p1(X) | ~ q1(X) | r1(Y)), inference(canonicalize, [], [normalize_51_8])). cnf(refute_51_3, plain, (~ p1(f(Z)) | ~ q1(f(Z)) | r1(X_273)), inference(subst, [], [refute_51_2 : [bind(X, $fot(f(Z))), bind(Y, $fot(X_273))]])). cnf(refute_51_4, plain, (~ p1(f(Z)) | r1(X_273)), inference(resolve, [$cnf(q1(f(Z)))], [refute_51_0, refute_51_3])). cnf(refute_51_5, plain, (~ p1(f(X_287)) | r1(X_273)), inference(subst, [], [refute_51_4 : [bind(Z, $fot(X_287))]])). cnf(refute_51_6, plain, (~ q1(X) | p1(f(Y)) | r1(Y)), inference(canonicalize, [], [normalize_51_9])). cnf(refute_51_7, plain, (~ q1(f(Z)) | p1(f(X_286)) | r1(X_286)), inference(subst, [], [refute_51_6 : [bind(X, $fot(f(Z))), bind(Y, $fot(X_286))]])). cnf(refute_51_8, plain, (p1(f(X_286)) | r1(X_286)), inference(resolve, [$cnf(q1(f(Z)))], [refute_51_0, refute_51_7])). cnf(refute_51_9, plain, (p1(f(X_287)) | r1(X_287)), inference(subst, [], [refute_51_8 : [bind(X_286, $fot(X_287))]])). cnf(refute_51_10, plain, (r1(X_273) | r1(X_287)), inference(resolve, [$cnf(p1(f(X_287)))], [refute_51_9, refute_51_5])). cnf(refute_51_11, plain, (r1(skolemFOFtoCNF_B_14)), inference(subst, [], [refute_51_10 : [bind(X_273, $fot(skolemFOFtoCNF_B_14)), bind(X_287, $fot(skolemFOFtoCNF_B_14))]])). cnf(refute_51_12, plain, (~ q1(X) | ~ r1(skolemFOFtoCNF_C_3) | p1(f(Y))), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B_14))], [refute_51_11, refute_51_1])). cnf(refute_51_13, plain, (r1(skolemFOFtoCNF_C_3)), inference(subst, [], [refute_51_10 : [bind(X_273, $fot(skolemFOFtoCNF_C_3)), bind(X_287, $fot(skolemFOFtoCNF_C_3))]])). cnf(refute_51_14, plain, (~ q1(X) | p1(f(Y))), inference(resolve, [$cnf(r1(skolemFOFtoCNF_C_3))], [refute_51_13, refute_51_12])). cnf(refute_51_15, plain, (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_B_14) | ~ r1(skolemFOFtoCNF_C_3)), inference(canonicalize, [], [normalize_51_10])). cnf(refute_51_16, plain, (~ p1(X) | ~ q1(X) | ~ r1(skolemFOFtoCNF_C_3)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_B_14))], [refute_51_11, refute_51_15])). cnf(refute_51_17, plain, (~ p1(X) | ~ q1(X)), inference(resolve, [$cnf(r1(skolemFOFtoCNF_C_3))], [refute_51_13, refute_51_16])). cnf(refute_51_18, plain, (~ p1(f(Z)) | ~ q1(f(Z))), inference(subst, [], [refute_51_17 : [bind(X, $fot(f(Z)))]])). cnf(refute_51_19, plain, (~ p1(f(Z))), inference(resolve, [$cnf(q1(f(Z)))], [refute_51_0, refute_51_18])). cnf(refute_51_20, plain, (~ p1(f(Y))), inference(subst, [], [refute_51_19 : [bind(Z, $fot(Y))]])). cnf(refute_51_21, plain, (~ q1(X)), inference(resolve, [$cnf(p1(f(Y)))], [refute_51_14, refute_51_20])). cnf(refute_51_22, plain, (~ q1(f(Z))), inference(subst, [], [refute_51_21 : [bind(X, $fot(f(Z)))]])). cnf(refute_51_23, plain, ($false), inference(resolve, [$cnf(q1(f(Z)))], [refute_51_0, refute_51_22])). SZS output end CNFRefutation for /CW/home-0/sutcliff/CASC/23/Problems/FNE/FNE063.p WATCH: 0.71 CPU 0.75 WC FINAL WATCH: 0.71 CPU 0.75 WC