%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN938+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:21:34 PM UTC 2026
% Result : Theorem 1.22s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN938+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:33:07 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 1.22/0.68 % Refutation found
% 1.22/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.22/0.68 % SZS output start CNFRefutation for theBenchmark
% 1.22/0.68 fof(f1,conjecture,(
% 1.22/0.68 ( (! [C,B] :( (! [Z] : q1(f(Z)))=> (? [X,Y] :( ( p1(f(Y))=> p1(X) )& ( r1(Y)=> ( r1(B)& r1(C) ) )& q1(X) ) )))& (! [B,C] :( (! [Z] : q1(f(Z)))=> (? [X,Y] :( ( p1(f(Y))=> ( p1(X)& ( r1(Y)=> ( r1(B)& r1(C) ) ) ) )& q1(X) ) )))& (! [B,C] :( q1(f(B))=> (? [X,Y] :( ( p1(f(Y))=> ( p1(X)& ( r1(Y)=> ( r1(B)& r1(C) ) ) ) )& q1(X) ) )))& ( ( (! [X] :( a1(X)=> ( b(X)| c(X) ) ))& ~ (! [X] :( a1(X)=> b(X) ) ))=> (? [X] :( a1(X)& c(X) ) ))& (! [A] :(? [X,X2,X3,X4,Y] :( ( p1(A)& e(A)& ( e(X)=> ( g(X)| s(X,f(X)) ) )& ( e(X2)=> ( g(X2)| c(f(X2)) ) )& ( s(A,Y)=> p1(Y) ) )=> ( ( p1(X3)& g(X3) )| ( p1(X4)& c(X4) ) ) )))& (! [A,B,C] :( ( s1(A)& s1(B)& r(B,C)& (! [X] :( s1(X)=> p1(X) ))& (! [X,Y] :( r(X,Y)=> q(X,Y) ) ))=> (? [X,Y] :( p1(X)& q(X,Y) ) )))& ( (! [X] : p1(X))=> (! [A,B] :( p1(A)& p1(B) ) ))& ( ( (! [X] : p1(X))& (? [Y] : q1(Y) ))=> (? [Z] :(! [Y] :( p1(Y)| r1(Z) ) )))& ( (! [X] :(? [Y] :( p1(X)& q1(Y) )))=> (? [Z] :(! [Y] :( p1(Y)| r1(Z) ) )))& ( (! [X] :(? [Y] :( a(X,Y)& a(Y,Y) )))=> (? [Z] : a(Z,Z) ))& (! [A,B,C] :( ( s1(A)& s1(B)& r(B,C)& (! [X] :( s1(X)=> p1(X) ))& (! [X,Y] :( r(X,Y)=> q(X,Y) ) ))=> (? [X,Y] :( p1(X)& q(X,Y) ) )))& (! [A,B] :( (! [Y] :( q1(Y)=> p1(Y) ))=> (? [X] :( ( p1(X)=> p1(A) )& ( q1(X)=> p1(B) ) ) )))& ( (? [X] : p1(X))=> ( (? [X] : p1(X))& ( a0=> ( ( b0| ~ b0 )& ( q0=> q0 ) ) ) ) )& ( (! [X] : p1(X))=> (? [Y] : p1(Y) ))& ( (! [X] :( p1(X)=> q1(X) ))=> ( (! [X] : p1(X))=> (! [X] : q1(X) )) )& (! [A,B] :( (! [Z] :( q1(Z)=> p1(Z) ))=> (? [X] :( ( p1(X)=> p1(A) )& ( q1(X)=> p1(B) ) ) )))& ( (! [X] :( a1(X)=> b(X) ))=> ( (? [X] : a1(X))=> (? [X] : b(X) )) )& ( (? [X] :( a1(X)=> b(X) ))=> ( (! [X] : a1(X))=> (? [X] : b(X) )) )& ~ (? [Y] :(! [X] :( a(X,Y)<=> ~ a(X,X) )))& ( ( (? [X] : a1(X))& (! [X] : b(X) ))=> (? [X] :( a1(X)& b(X) ) ))& ( (? [X] : b(X))=> (? [X] :( a1(X)| b(X) ) ))& ( (? [X,Y] : a(X,Y))<=> (? [Y,X] : a(X,Y) ))& (! [A,B] :( (! [X] : p1(X))=> ( p1(A)& p1(B) ) ))& ( (! [X] : p1(X))=> ( (! [X] : p1(X))& (! [Y] : p1(Y) )) )& ( (? [X] : p1(X))<=> (? [Y] : p1(Y) ))& ( (? [X] : p1(X))=> (? [Z] : p1(Z) ))& (? [Z] :(! [X] :(? [Y] :( ( p(Y,X)=> (? [W] : p(W,Y) ))& ( ( p(Z,Y)& p(Y,Z) )=> p(Y,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) ) ))& (! [A,B] :( (! [Y] :( q1(Y)=> p1(Y) ))=> (? [X] :( ( p1(X)=> p1(A) )& ( q1(X)=> p1(B) ) ) )))& (? [X] :(! [Y] :( p1(X)=> p1(Y) )))& (! [B] :( ( (! [X] :( p1(X)=> q1(X) ))& r1(B) )=> ( (! [Y] :( r1(Y)=> p1(Y) ))=> q1(B) ) ))& (! [A,B] :(? [X,Y] :( ( p1(X)=> r1(Y) )=> ( p1(A)=> r1(B) ) )))& (? [Y] :( (? [X] : p1(X))=> p1(Y) ))& ( (? [X] :(! [Y] : p(X,Y)))=> (! [Y] :(? [X] : p(X,Y) )))& ( p1(z)=> p1(z) )& ( (? [X] : p1(X))=> (? [Y] : p1(Y) ))& ( (! [X,Y] : p(X,Y))=> (! [X] : p(X,X) ))& (! [A] :( ( ( f0| g0 )& (! [X] :( p1(X)& q1(X) ) ))=> q1(A) ))& ( ( a0<=> b0 )| a0| b0 )& ( ( a0& b0 )=> ( a0<=> b0 ) )& (! [A,B] :(? [X,Y] :( ( ( q1(X)=> p(X,A) )& q1(A)& q1(B)& ( r1(Y)=> p(B,Y) )& r1(A)& r1(B)& ( s1(A)=> p(X,Y) )& s1(A) )=> p(A,B) )))& (! [B] :( (! [Y] :( ( r1(B)=> r1(Y) )=> p(f(Y),Y) ))=> (? [X,Y] :( p(X,Y)& ( q(f(B),B)=> q(X,Y) ) ) )))& ( ( (! [X] :( p1(X)=> q1(X) ))& (? [Y] :( q1(Y)=> r1(Y) ) ))=> (? [Z] :( p1(Z)=> r1(Z) ) )) ) ),
% 1.22/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.68 fof(f2,negated_conjecture,(
% 1.22/0.68 ~(( (! [C,B] :( (! [Z] : q1(f(Z)))=> (? [X,Y] :( ( p1(f(Y))=> p1(X) )& ( r1(Y)=> ( r1(B)& r1(C) ) )& q1(X) ) )))& (! [B,C] :( (! [Z] : q1(f(Z)))=> (? [X,Y] :( ( p1(f(Y))=> ( p1(X)& ( r1(Y)=> ( r1(B)& r1(C) ) ) ) )& q1(X) ) )))& (! [B,C] :( q1(f(B))=> (? [X,Y] :( ( p1(f(Y))=> ( p1(X)& ( r1(Y)=> ( r1(B)& r1(C) ) ) ) )& q1(X) ) )))& ( ( (! [X] :( a1(X)=> ( b(X)| c(X) ) ))& ~ (! [X] :( a1(X)=> b(X) ) ))=> (? [X] :( a1(X)& c(X) ) ))& (! [A] :(? [X,X2,X3,X4,Y] :( ( p1(A)& e(A)& ( e(X)=> ( g(X)| s(X,f(X)) ) )& ( e(X2)=> ( g(X2)| c(f(X2)) ) )& ( s(A,Y)=> p1(Y) ) )=> ( ( p1(X3)& g(X3) )| ( p1(X4)& c(X4) ) ) )))& (! [A,B,C] :( ( s1(A)& s1(B)& r(B,C)& (! [X] :( s1(X)=> p1(X) ))& (! [X,Y] :( r(X,Y)=> q(X,Y) ) ))=> (? [X,Y] :( p1(X)& q(X,Y) ) )))& ( (! [X] : p1(X))=> (! [A,B] :( p1(A)& p1(B) ) ))& ( ( (! [X] : p1(X))& (? [Y] : q1(Y) ))=> (? [Z] :(! [Y] :( p1(Y)| r1(Z) ) )))& ( (! [X] :(? [Y] :( p1(X)& q1(Y) )))=> (? [Z] :(! [Y] :( p1(Y)| r1(Z) ) )))& ( (! [X] :(? [Y] :( a(X,Y)& a(Y,Y) )))=> (? [Z] : a(Z,Z) ))& (! [A,B,C] :( ( s1(A)& s1(B)& r(B,C)& (! [X] :( s1(X)=> p1(X) ))& (! [X,Y] :( r(X,Y)=> q(X,Y) ) ))=> (? [X,Y] :( p1(X)& q(X,Y) ) )))& (! [A,B] :( (! [Y] :( q1(Y)=> p1(Y) ))=> (? [X] :( ( p1(X)=> p1(A) )& ( q1(X)=> p1(B) ) ) )))& ( (? [X] : p1(X))=> ( (? [X] : p1(X))& ( a0=> ( ( b0| ~ b0 )& ( q0=> q0 ) ) ) ) )& ( (! [X] : p1(X))=> (? [Y] : p1(Y) ))& ( (! [X] :( p1(X)=> q1(X) ))=> ( (! [X] : p1(X))=> (! [X] : q1(X) )) )& (! [A,B] :( (! [Z] :( q1(Z)=> p1(Z) ))=> (? [X] :( ( p1(X)=> p1(A) )& ( q1(X)=> p1(B) ) ) )))& ( (! [X] :( a1(X)=> b(X) ))=> ( (? [X] : a1(X))=> (? [X] : b(X) )) )& ( (? [X] :( a1(X)=> b(X) ))=> ( (! [X] : a1(X))=> (? [X] : b(X) )) )& ~ (? [Y] :(! [X] :( a(X,Y)<=> ~ a(X,X) )))& ( ( (? [X] : a1(X))& (! [X] : b(X) ))=> (? [X] :( a1(X)& b(X) ) ))& ( (? [X] : b(X))=> (? [X] :( a1(X)| b(X) ) ))& ( (? [X,Y] : a(X,Y))<=> (? [Y,X] : a(X,Y) ))& (! [A,B] :( (! [X] : p1(X))=> ( p1(A)& p1(B) ) ))& ( (! [X] : p1(X))=> ( (! [X] : p1(X))& (! [Y] : p1(Y) )) )& ( (? [X] : p1(X))<=> (? [Y] : p1(Y) ))& ( (? [X] : p1(X))=> (? [Z] : p1(Z) ))& (? [Z] :(! [X] :(? [Y] :( ( p(Y,X)=> (? [W] : p(W,Y) ))& ( ( p(Z,Y)& p(Y,Z) )=> p(Y,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) ) ))& (! [A,B] :( (! [Y] :( q1(Y)=> p1(Y) ))=> (? [X] :( ( p1(X)=> p1(A) )& ( q1(X)=> p1(B) ) ) )))& (? [X] :(! [Y] :( p1(X)=> p1(Y) )))& (! [B] :( ( (! [X] :( p1(X)=> q1(X) ))& r1(B) )=> ( (! [Y] :( r1(Y)=> p1(Y) ))=> q1(B) ) ))& (! [A,B] :(? [X,Y] :( ( p1(X)=> r1(Y) )=> ( p1(A)=> r1(B) ) )))& (? [Y] :( (? [X] : p1(X))=> p1(Y) ))& ( (? [X] :(! [Y] : p(X,Y)))=> (! [Y] :(? [X] : p(X,Y) )))& ( p1(z)=> p1(z) )& ( (? [X] : p1(X))=> (? [Y] : p1(Y) ))& ( (! [X,Y] : p(X,Y))=> (! [X] : p(X,X) ))& (! [A] :( ( ( f0| g0 )& (! [X] :( p1(X)& q1(X) ) ))=> q1(A) ))& ( ( a0<=> b0 )| a0| b0 )& ( ( a0& b0 )=> ( a0<=> b0 ) )& (! [A,B] :(? [X,Y] :( ( ( q1(X)=> p(X,A) )& q1(A)& q1(B)& ( r1(Y)=> p(B,Y) )& r1(A)& r1(B)& ( s1(A)=> p(X,Y) )& s1(A) )=> p(A,B) )))& (! [B] :( (! [Y] :( ( r1(B)=> r1(Y) )=> p(f(Y),Y) ))=> (? [X,Y] :( p(X,Y)& ( q(f(B),B)=> q(X,Y) ) ) )))& ( ( (! [X] :( p1(X)=> q1(X) ))& (? [Y] :( q1(Y)=> r1(Y) ) ))=> (? [Z] :( p1(Z)=> r1(Z) ) )) ) )),
% 1.22/0.68 inference(negated_conjecture,[status(cth)],[f1])).
% 1.22/0.68 fof(f3,plain,(
% 1.22/0.68 (((((((((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))|(((a0<~>b0)&~a0)&~b0))|((a0&b0)&(a0<~>b0)))|(?[A,B]: ![X,Y]: (((((((((~q1(X)|p(X,A))&q1(A))&q1(B))&(~r1(Y)|p(B,Y)))&r1(A))&r1(B))&(~s1(A)|p(X,Y)))&s1(A))&~p(A,B))))|(?[B]: ((![Y]: ((r1(B)&~r1(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(B),B)&~q(X,Y)))))))|(((![X]: (~p1(X)|q1(X)))&(?[Y]: (~q1(Y)|r1(Y))))&(![Z]: (p1(Z)&~r1(Z)))))),
% 1.22/0.68 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.22/0.68 fof(f4,definition,(
% 1.22/0.68 sP0_prd<=>((((((((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))|(((a0<~>b0)&~a0)&~b0))|((a0&b0)&(a0<~>b0)))|(?[A,B]: ![X,Y]: (((((((((~q1(X)|p(X,A))&q1(A))&q1(B))&(~r1(Y)|p(B,Y)))&r1(A))&r1(B))&(~s1(A)|p(X,Y)))&s1(A))&~p(A,B))))|(?[B]: ((![Y]: ((r1(B)&~r1(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(B),B)&~q(X,Y)))))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 1.22/0.68 fof(f5,plain,(
% 1.22/0.68 sP0_prd|(((![X]: (~p1(X)|q1(X)))&(?[Y]: (~q1(Y)|r1(Y))))&(![Z]: (p1(Z)&~r1(Z))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f3,f4])).
% 1.22/0.68 fof(f6,plain,(
% 1.22/0.68 sP0_prd|(((![X]: (~p1(X)|q1(X)))&((?[Y]: ~q1(Y))|(?[Y]: r1(Y))))&((![Z]: p1(Z))&(![Z]: ~r1(Z))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f5])).
% 1.22/0.68 fof(f7,plain,(
% 1.22/0.68 sP0_prd|(((![X]: (~p1(X)|q1(X)))&(~q1(sK0_skl)|r1(sK1_skl)))&((![Z]: p1(Z))&(![Z]: ~r1(Z))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(Y,sK1_skl)],[f6])).
% 1.22/0.68 fof(f8,plain,(
% 1.22/0.68 ![X0]: (sP0_prd|~p1(X0)|q1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f7])).
% 1.22/0.68 fof(f9,plain,(
% 1.22/0.68 sP0_prd|~q1(sK0_skl)|r1(sK1_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f7])).
% 1.22/0.68 fof(f10,plain,(
% 1.22/0.68 ![X0]: (sP0_prd|p1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f7])).
% 1.22/0.68 fof(f11,plain,(
% 1.22/0.68 ![X0]: (sP0_prd|~r1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f7])).
% 1.22/0.68 fof(f12,definition,(
% 1.22/0.68 sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))|(((a0<~>b0)&~a0)&~b0))|((a0&b0)&(a0<~>b0)))|(?[A,B]: ![X,Y]: (((((((((~q1(X)|p(X,A))&q1(A))&q1(B))&(~r1(Y)|p(B,Y)))&r1(A))&r1(B))&(~s1(A)|p(X,Y)))&s1(A))&~p(A,B))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 1.22/0.68 fof(f13,plain,(
% 1.22/0.68 sP0_prd<=>(sP1_prd|(?[B]: ((![Y]: ((r1(B)&~r1(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(B),B)&~q(X,Y)))))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f4,f12])).
% 1.22/0.68 fof(f14,plain,(
% 1.22/0.68 (~sP0_prd|(sP1_prd|(?[B]: ((![Y]: ((r1(B)&~r1(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(B),B)&~q(X,Y))))))))&(sP0_prd|(~sP1_prd&(![B]: ((?[Y]: ((~r1(B)|r1(Y))&~p(f(Y),Y)))|(?[X,Y]: (p(X,Y)&(~q(f(B),B)|q(X,Y))))))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f13])).
% 1.22/0.68 fof(f15,plain,(
% 1.22/0.68 (~sP0_prd|(sP1_prd|((![Y]: ((r1(sK2_skl)&~r1(Y))|p(f(Y),Y)))&(![X,Y]: (~p(X,Y)|(q(f(sK2_skl),sK2_skl)&~q(X,Y)))))))&(sP0_prd|(~sP1_prd&(![B]: (((~r1(B)|r1(sK3_skl(B)))&~p(f(sK3_skl(B)),sK3_skl(B)))|(p(sK4_skl(B),sK5_skl(B))&(~q(f(B),B)|q(sK4_skl(B),sK5_skl(B))))))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK2_skl),skolemize(Y,sK3_skl(B)),skolemize(X,sK4_skl(B)),skolemize(Y,sK5_skl(B))],[f14])).
% 1.22/0.68 fof(f16,plain,(
% 1.22/0.68 ![X0]: (~sP0_prd|sP1_prd|r1(sK2_skl)|p(f(X0),X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f15])).
% 1.22/0.68 fof(f17,plain,(
% 1.22/0.68 ![X0]: (~sP0_prd|sP1_prd|~r1(X0)|p(f(X0),X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f15])).
% 1.22/0.68 fof(f18,plain,(
% 1.22/0.68 ![X0,X1]: (~sP0_prd|sP1_prd|~p(X0,X1)|q(f(sK2_skl),sK2_skl))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f15])).
% 1.22/0.68 fof(f19,plain,(
% 1.22/0.68 ![X0,X1]: (~sP0_prd|sP1_prd|~p(X0,X1)|~q(X0,X1))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f15])).
% 1.22/0.68 fof(f25,definition,(
% 1.22/0.68 sP2_prd<=>((((((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))|(((a0<~>b0)&~a0)&~b0))|((a0&b0)&(a0<~>b0)))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 1.22/0.68 fof(f26,plain,(
% 1.22/0.68 sP1_prd<=>(sP2_prd|(?[A,B]: ![X,Y]: (((((((((~q1(X)|p(X,A))&q1(A))&q1(B))&(~r1(Y)|p(B,Y)))&r1(A))&r1(B))&(~s1(A)|p(X,Y)))&s1(A))&~p(A,B))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f12,f25])).
% 1.22/0.68 fof(f27,definition,(
% 1.22/0.68 ![A,B,X,Y]: (sP3_prd(Y,X,B,A)<=>((((((~q1(X)|p(X,A))&q1(A))&q1(B))&(~r1(Y)|p(B,Y)))&r1(A))&r1(B)))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 1.22/0.68 fof(f28,plain,(
% 1.22/0.68 sP1_prd<=>(sP2_prd|(?[A,B]: ![X,Y]: (((sP3_prd(Y,X,B,A)&(~s1(A)|p(X,Y)))&s1(A))&~p(A,B))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f26,f27])).
% 1.22/0.68 fof(f29,plain,(
% 1.22/0.68 (~sP1_prd|(sP2_prd|(?[A,B]: ![X,Y]: (((sP3_prd(Y,X,B,A)&(~s1(A)|p(X,Y)))&s1(A))&~p(A,B)))))&(sP1_prd|(~sP2_prd&(![A,B]: ?[X,Y]: (((~sP3_prd(Y,X,B,A)|(s1(A)&~p(X,Y)))|~s1(A))|p(A,B)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f28])).
% 1.22/0.68 fof(f30,plain,(
% 1.22/0.68 (~sP1_prd|(sP2_prd|(?[A,B]: ((((![X,Y]: sP3_prd(Y,X,B,A))&(~s1(A)|(![X,Y]: p(X,Y))))&s1(A))&~p(A,B)))))&(sP1_prd|(~sP2_prd&(![A,B]: ((((?[X,Y]: ~sP3_prd(Y,X,B,A))|(s1(A)&(?[X,Y]: ~p(X,Y))))|~s1(A))|p(A,B)))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f29])).
% 1.22/0.68 fof(f31,plain,(
% 1.22/0.68 (~sP1_prd|(sP2_prd|((((![X,Y]: sP3_prd(Y,X,sK7_skl,sK6_skl))&(~s1(sK6_skl)|(![X,Y]: p(X,Y))))&s1(sK6_skl))&~p(sK6_skl,sK7_skl))))&(sP1_prd|(~sP2_prd&(![A,B]: (((~sP3_prd(sK9_skl(B,A),sK8_skl(B,A),B,A)|(s1(A)&~p(sK10_skl(B,A),sK11_skl(B,A))))|~s1(A))|p(A,B)))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl),skolemize(X,sK8_skl(B,A)),skolemize(Y,sK9_skl(B,A)),skolemize(X,sK10_skl(B,A)),skolemize(Y,sK11_skl(B,A))],[f30])).
% 1.22/0.68 fof(f33,plain,(
% 1.22/0.68 ![X0,X1]: (~sP1_prd|sP2_prd|~s1(sK6_skl)|p(X0,X1))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f31])).
% 1.22/0.68 fof(f34,plain,(
% 1.22/0.68 ~sP1_prd|sP2_prd|s1(sK6_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f31])).
% 1.22/0.68 fof(f35,plain,(
% 1.22/0.68 ~sP1_prd|sP2_prd|~p(sK6_skl,sK7_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f31])).
% 1.22/0.68 fof(f39,definition,(
% 1.22/0.68 sP4_prd<=>(((((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))|(((a0<~>b0)&~a0)&~b0))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 1.22/0.68 fof(f40,plain,(
% 1.22/0.68 sP2_prd<=>(sP4_prd|((a0&b0)&(a0<~>b0)))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f25,f39])).
% 1.22/0.68 fof(f41,plain,(
% 1.22/0.68 (~sP2_prd|(sP4_prd|((a0&b0)&((a0|b0)&(~a0|~b0)))))&(sP2_prd|(~sP4_prd&((~a0|~b0)|((~a0|b0)&(a0|~b0)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f40])).
% 1.22/0.68 fof(f42,plain,(
% 1.22/0.68 ~sP2_prd|sP4_prd|a0),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f41])).
% 1.22/0.68 fof(f43,plain,(
% 1.22/0.68 ~sP2_prd|sP4_prd|b0),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f41])).
% 1.22/0.68 fof(f45,plain,(
% 1.22/0.68 ~sP2_prd|sP4_prd|~a0|~b0),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f41])).
% 1.22/0.68 fof(f59,definition,(
% 1.22/0.68 sP6_prd<=>((((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 1.22/0.68 fof(f60,plain,(
% 1.22/0.68 sP4_prd<=>(sP6_prd|(((a0<~>b0)&~a0)&~b0))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f39,f59])).
% 1.22/0.68 fof(f61,plain,(
% 1.22/0.68 (~sP4_prd|(sP6_prd|((((a0|b0)&(~a0|~b0))&~a0)&~b0)))&(sP4_prd|(~sP6_prd&((((~a0|b0)&(a0|~b0))|a0)|b0)))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f60])).
% 1.22/0.68 fof(f62,plain,(
% 1.22/0.68 ~sP4_prd|sP6_prd|a0|b0),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f61])).
% 1.22/0.68 fof(f64,plain,(
% 1.22/0.68 ~sP4_prd|sP6_prd|~a0),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f61])).
% 1.22/0.68 fof(f65,plain,(
% 1.22/0.68 ~sP4_prd|sP6_prd|~b0),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f61])).
% 1.22/0.68 fof(f76,definition,(
% 1.22/0.68 sP7_prd<=>(((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 1.22/0.68 fof(f77,plain,(
% 1.22/0.68 sP6_prd<=>(sP7_prd|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f59,f76])).
% 1.22/0.68 fof(f78,plain,(
% 1.22/0.68 (~sP6_prd|(sP7_prd|(?[A]: (((f0|g0)&(![X]: (p1(X)&q1(X))))&~q1(A)))))&(sP6_prd|(~sP7_prd&(![A]: (((~f0&~g0)|(?[X]: (~p1(X)|~q1(X))))|q1(A)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f77])).
% 1.22/0.68 fof(f79,plain,(
% 1.22/0.68 (~sP6_prd|(sP7_prd|(((f0|g0)&((![X]: p1(X))&(![X]: q1(X))))&(?[A]: ~q1(A)))))&(sP6_prd|(~sP7_prd&(((~f0&~g0)|((?[X]: ~p1(X))|(?[X]: ~q1(X))))|(![A]: q1(A)))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f78])).
% 1.22/0.68 fof(f80,plain,(
% 1.22/0.68 (~sP6_prd|(sP7_prd|(((f0|g0)&((![X]: p1(X))&(![X]: q1(X))))&~q1(sK12_skl))))&(sP6_prd|(~sP7_prd&(((~f0&~g0)|(~p1(sK13_skl)|~q1(sK14_skl)))|(![A]: q1(A)))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(A,sK12_skl),skolemize(X,sK13_skl),skolemize(X,sK14_skl)],[f79])).
% 1.22/0.68 fof(f83,plain,(
% 1.22/0.68 ![X0]: (~sP6_prd|sP7_prd|q1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f80])).
% 1.22/0.68 fof(f84,plain,(
% 1.22/0.68 ~sP6_prd|sP7_prd|~q1(sK12_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f80])).
% 1.22/0.68 fof(f88,definition,(
% 1.22/0.68 sP8_prd<=>((((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))|((?[X]: p1(X))&(![Y]: ~p1(Y))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 1.22/0.68 fof(f89,plain,(
% 1.22/0.68 sP7_prd<=>(sP8_prd|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f76,f88])).
% 1.22/0.68 fof(f90,plain,(
% 1.22/0.68 (~sP7_prd|(sP8_prd|((![X,Y]: p(X,Y))&(?[X]: ~p(X,X)))))&(sP7_prd|(~sP8_prd&((?[X,Y]: ~p(X,Y))|(![X]: p(X,X)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f89])).
% 1.22/0.68 fof(f91,plain,(
% 1.22/0.68 (~sP7_prd|(sP8_prd|((![X,Y]: p(X,Y))&~p(sK15_skl,sK15_skl))))&(sP7_prd|(~sP8_prd&(~p(sK16_skl,sK17_skl)|(![X]: p(X,X)))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl]),skolemize(X,sK15_skl),skolemize(X,sK16_skl),skolemize(Y,sK17_skl)],[f90])).
% 1.22/0.68 fof(f92,plain,(
% 1.22/0.68 ![X0,X1]: (~sP7_prd|sP8_prd|p(X0,X1))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f91])).
% 1.22/0.68 fof(f93,plain,(
% 1.22/0.68 ~sP7_prd|sP8_prd|~p(sK15_skl,sK15_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f91])).
% 1.22/0.68 fof(f96,definition,(
% 1.22/0.68 sP9_prd<=>(((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))|(p1(z)&~p1(z)))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 1.22/0.68 fof(f97,plain,(
% 1.22/0.68 sP8_prd<=>(sP9_prd|((?[X]: p1(X))&(![Y]: ~p1(Y))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f88,f96])).
% 1.22/0.68 fof(f98,plain,(
% 1.22/0.68 (~sP8_prd|(sP9_prd|((?[X]: p1(X))&(![Y]: ~p1(Y)))))&(sP8_prd|(~sP9_prd&((![X]: ~p1(X))|(?[Y]: p1(Y)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f97])).
% 1.22/0.68 fof(f99,plain,(
% 1.22/0.68 (~sP8_prd|(sP9_prd|(p1(sK18_skl)&(![Y]: ~p1(Y)))))&(sP8_prd|(~sP9_prd&((![X]: ~p1(X))|p1(sK19_skl))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl]),skolemize(X,sK18_skl),skolemize(Y,sK19_skl)],[f98])).
% 1.22/0.68 fof(f100,plain,(
% 1.22/0.68 ~sP8_prd|sP9_prd|p1(sK18_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f99])).
% 1.22/0.68 fof(f101,plain,(
% 1.22/0.68 ![X0]: (~sP8_prd|sP9_prd|~p1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f99])).
% 1.22/0.68 fof(f104,definition,(
% 1.22/0.68 sP10_prd<=>((((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 1.22/0.68 fof(f105,plain,(
% 1.22/0.68 sP9_prd<=>(sP10_prd|(p1(z)&~p1(z)))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f96,f104])).
% 1.22/0.68 fof(f106,plain,(
% 1.22/0.68 (~sP9_prd|(sP10_prd|(p1(z)&~p1(z))))&(sP9_prd|(~sP10_prd&(~p1(z)|p1(z))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f105])).
% 1.22/0.68 fof(f107,plain,(
% 1.22/0.68 ~sP9_prd|sP10_prd|p1(z)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f106])).
% 1.22/0.68 fof(f108,plain,(
% 1.22/0.68 ~sP9_prd|sP10_prd|~p1(z)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f106])).
% 1.22/0.68 fof(f111,definition,(
% 1.22/0.68 sP11_prd<=>(((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))|(![Y]: ((?[X]: p1(X))&~p1(Y))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 1.22/0.68 fof(f112,plain,(
% 1.22/0.68 sP10_prd<=>(sP11_prd|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f104,f111])).
% 1.22/0.68 fof(f113,plain,(
% 1.22/0.68 (~sP10_prd|(sP11_prd|((?[X]: ![Y]: p(X,Y))&(?[Y]: ![X]: ~p(X,Y)))))&(sP10_prd|(~sP11_prd&((![X]: ?[Y]: ~p(X,Y))|(![Y]: ?[X]: p(X,Y)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f112])).
% 1.22/0.68 fof(f114,plain,(
% 1.22/0.68 (~sP10_prd|(sP11_prd|(![Y]: p(sK20_skl,Y)&![X]: ~p(X,sK21_skl))))&(sP10_prd|(~sP11_prd&((![X]: ~p(X,sK22_skl(X)))|(![Y]: p(sK23_skl(Y),Y)))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl]),skolemize(X,sK20_skl),skolemize(Y,sK21_skl),skolemize(Y,sK22_skl(X)),skolemize(X,sK23_skl(Y))],[f113])).
% 1.22/0.68 fof(f115,plain,(
% 1.22/0.68 ![X0]: (~sP10_prd|sP11_prd|p(sK20_skl,X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f114])).
% 1.22/0.68 fof(f116,plain,(
% 1.22/0.68 ![X0]: (~sP10_prd|sP11_prd|~p(X0,sK21_skl))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f114])).
% 1.22/0.68 fof(f119,definition,(
% 1.22/0.68 sP12_prd<=>((((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 1.22/0.68 fof(f120,plain,(
% 1.22/0.68 sP11_prd<=>(sP12_prd|(![Y]: ((?[X]: p1(X))&~p1(Y))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f111,f119])).
% 1.22/0.68 fof(f121,plain,(
% 1.22/0.68 (~sP11_prd|(sP12_prd|(![Y]: ((?[X]: p1(X))&~p1(Y)))))&(sP11_prd|(~sP12_prd&(?[Y]: ((![X]: ~p1(X))|p1(Y)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f120])).
% 1.22/0.68 fof(f122,plain,(
% 1.22/0.68 (~sP11_prd|(sP12_prd|((?[X]: p1(X))&(![Y]: ~p1(Y)))))&(sP11_prd|(~sP12_prd&((![X]: ~p1(X))|(?[Y]: p1(Y)))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f121])).
% 1.22/0.68 fof(f123,plain,(
% 1.22/0.68 (~sP11_prd|(sP12_prd|(p1(sK24_skl)&(![Y]: ~p1(Y)))))&(sP11_prd|(~sP12_prd&((![X]: ~p1(X))|p1(sK25_skl))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl]),skolemize(X,sK24_skl),skolemize(Y,sK25_skl)],[f122])).
% 1.22/0.68 fof(f124,plain,(
% 1.22/0.68 ~sP11_prd|sP12_prd|p1(sK24_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f123])).
% 1.22/0.68 fof(f125,plain,(
% 1.22/0.68 ![X0]: (~sP11_prd|sP12_prd|~p1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f123])).
% 1.22/0.68 fof(f128,definition,(
% 1.22/0.68 sP13_prd<=>(((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 1.22/0.68 fof(f129,plain,(
% 1.22/0.68 sP12_prd<=>(sP13_prd|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B)))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f119,f128])).
% 1.22/0.68 fof(f130,plain,(
% 1.22/0.68 (~sP12_prd|(sP13_prd|(?[A,B]: ![X,Y]: ((~p1(X)|r1(Y))&(p1(A)&~r1(B))))))&(sP12_prd|(~sP13_prd&(![A,B]: ?[X,Y]: ((p1(X)&~r1(Y))|(~p1(A)|r1(B))))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f129])).
% 1.22/0.68 fof(f131,plain,(
% 1.22/0.68 (~sP12_prd|(sP13_prd|(((![X]: ~p1(X))|(![Y]: r1(Y)))&((?[A]: p1(A))&(?[B]: ~r1(B))))))&(sP12_prd|(~sP13_prd&(((?[X]: p1(X))&(?[Y]: ~r1(Y)))|((![A]: ~p1(A))|(![B]: r1(B))))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f130])).
% 1.22/0.68 fof(f132,plain,(
% 1.22/0.68 (~sP12_prd|(sP13_prd|(((![X]: ~p1(X))|(![Y]: r1(Y)))&(p1(sK26_skl)&~r1(sK27_skl)))))&(sP12_prd|(~sP13_prd&((p1(sK28_skl)&~r1(sK29_skl))|((![A]: ~p1(A))|(![B]: r1(B))))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl,sK29_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(X,sK28_skl),skolemize(Y,sK29_skl)],[f131])).
% 1.22/0.68 fof(f133,plain,(
% 1.22/0.68 ![X0,X1]: (~sP12_prd|sP13_prd|~p1(X0)|r1(X1))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f132])).
% 1.22/0.68 fof(f134,plain,(
% 1.22/0.68 ~sP12_prd|sP13_prd|p1(sK26_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f132])).
% 1.22/0.68 fof(f135,plain,(
% 1.22/0.68 ~sP12_prd|sP13_prd|~r1(sK27_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f132])).
% 1.22/0.68 fof(f139,definition,(
% 1.22/0.68 sP14_prd<=>((((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|(![X]: ?[Y]: (p1(X)&~p1(Y))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 1.22/0.68 fof(f140,plain,(
% 1.22/0.68 sP13_prd<=>(sP14_prd|(?[B]: (((![X]: (~p1(X)|q1(X)))&r1(B))&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f128,f139])).
% 1.22/0.68 fof(f141,definition,(
% 1.22/0.68 ![B]: (sP15_prd(B)<=>((![X]: (~p1(X)|q1(X)))&r1(B)))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 1.22/0.68 fof(f142,plain,(
% 1.22/0.68 sP13_prd<=>(sP14_prd|(?[B]: (sP15_prd(B)&((![Y]: (~r1(Y)|p1(Y)))&~q1(B)))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f140,f141])).
% 1.22/0.68 fof(f143,plain,(
% 1.22/0.68 (~sP13_prd|(sP14_prd|(?[B]: (sP15_prd(B)&((![Y]: (~r1(Y)|p1(Y)))&~q1(B))))))&(sP13_prd|(~sP14_prd&(![B]: (~sP15_prd(B)|((?[Y]: (r1(Y)&~p1(Y)))|q1(B))))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f142])).
% 1.22/0.68 fof(f144,plain,(
% 1.22/0.68 (~sP13_prd|(sP14_prd|(sP15_prd(sK30_skl)&((![Y]: (~r1(Y)|p1(Y)))&~q1(sK30_skl)))))&(sP13_prd|(~sP14_prd&(![B]: (~sP15_prd(B)|((r1(sK31_skl(B))&~p1(sK31_skl(B)))|q1(B))))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(B,sK30_skl),skolemize(Y,sK31_skl(B))],[f143])).
% 1.22/0.68 fof(f145,plain,(
% 1.22/0.68 ~sP13_prd|sP14_prd|sP15_prd(sK30_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f144])).
% 1.22/0.68 fof(f146,plain,(
% 1.22/0.68 ![X0]: (~sP13_prd|sP14_prd|~r1(X0)|p1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f144])).
% 1.22/0.68 fof(f147,plain,(
% 1.22/0.68 ~sP13_prd|sP14_prd|~q1(sK30_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f144])).
% 1.22/0.68 fof(f151,definition,(
% 1.22/0.68 sP16_prd<=>(((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 1.22/0.68 fof(f152,plain,(
% 1.22/0.68 sP14_prd<=>(sP16_prd|(![X]: ?[Y]: (p1(X)&~p1(Y))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f139,f151])).
% 1.22/0.68 fof(f153,plain,(
% 1.22/0.68 (~sP14_prd|(sP16_prd|(![X]: ?[Y]: (p1(X)&~p1(Y)))))&(sP14_prd|(~sP16_prd&(?[X]: ![Y]: (~p1(X)|p1(Y)))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f152])).
% 1.22/0.68 fof(f154,plain,(
% 1.22/0.68 (~sP14_prd|(sP16_prd|((![X]: p1(X))&(?[Y]: ~p1(Y)))))&(sP14_prd|(~sP16_prd&((?[X]: ~p1(X))|(![Y]: p1(Y)))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f153])).
% 1.22/0.68 fof(f155,plain,(
% 1.22/0.68 (~sP14_prd|(sP16_prd|((![X]: p1(X))&~p1(sK32_skl))))&(sP14_prd|(~sP16_prd&(~p1(sK33_skl)|(![Y]: p1(Y)))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl,sK33_skl]),skolemize(Y,sK32_skl),skolemize(X,sK33_skl)],[f154])).
% 1.22/0.68 fof(f156,plain,(
% 1.22/0.68 ![X0]: (~sP14_prd|sP16_prd|p1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f155])).
% 1.22/0.68 fof(f157,plain,(
% 1.22/0.68 ~sP14_prd|sP16_prd|~p1(sK32_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f155])).
% 1.22/0.68 fof(f160,plain,(
% 1.22/0.68 ![B]: ((~sP15_prd(B)|((![X]: (~p1(X)|q1(X)))&r1(B)))&(sP15_prd(B)|((?[X]: (p1(X)&~q1(X)))|~r1(B))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f141])).
% 1.22/0.68 fof(f161,plain,(
% 1.22/0.68 (![B]: (~sP15_prd(B)|((![X]: (~p1(X)|q1(X)))&r1(B))))&(![B]: (sP15_prd(B)|((?[X]: (p1(X)&~q1(X)))|~r1(B))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f160])).
% 1.22/0.68 fof(f162,plain,(
% 1.22/0.68 (![B]: (~sP15_prd(B)|((![X]: (~p1(X)|q1(X)))&r1(B))))&(![B]: (sP15_prd(B)|((p1(sK34_skl(B))&~q1(sK34_skl(B)))|~r1(B))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl]),skolemize(X,sK34_skl(B))],[f161])).
% 1.22/0.68 fof(f163,plain,(
% 1.22/0.68 ![X0,X1]: (~sP15_prd(X0)|~p1(X1)|q1(X1))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f162])).
% 1.22/0.68 fof(f164,plain,(
% 1.22/0.68 ![X0]: (~sP15_prd(X0)|r1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f162])).
% 1.22/0.68 fof(f167,definition,(
% 1.22/0.68 sP17_prd<=>((((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,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)))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 1.22/0.68 fof(f168,plain,(
% 1.22/0.68 sP16_prd<=>(sP17_prd|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f151,f167])).
% 1.22/0.68 fof(f169,plain,(
% 1.22/0.68 (~sP16_prd|(sP17_prd|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B))))))))&(sP16_prd|(~sP17_prd&(![A,B]: ((?[Y]: (q1(Y)&~p1(Y)))|(?[X]: ((~p1(X)|p1(A))&(~q1(X)|p1(B))))))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f168])).
% 1.22/0.68 fof(f170,plain,(
% 1.22/0.68 (~sP16_prd|(sP17_prd|((![Y]: (~q1(Y)|p1(Y)))&(?[A,B]: ![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))&(sP16_prd|(~sP17_prd&((?[Y]: (q1(Y)&~p1(Y)))|(![A,B]: ?[X]: ((~p1(X)|p1(A))&(~q1(X)|p1(B)))))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f169])).
% 1.22/0.68 fof(f171,plain,(
% 1.22/0.68 (~sP16_prd|(sP17_prd|((![Y]: (~q1(Y)|p1(Y)))&![X]: ((p1(X)&~p1(sK35_skl))|(q1(X)&~p1(sK36_skl))))))&(sP16_prd|(~sP17_prd&((q1(sK37_skl)&~p1(sK37_skl))|(![A,B]: ((~p1(sK38_skl(B,A))|p1(A))&(~q1(sK38_skl(B,A))|p1(B)))))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK35_skl,sK36_skl,sK37_skl,sK38_skl]),skolemize(A,sK35_skl),skolemize(B,sK36_skl),skolemize(Y,sK37_skl),skolemize(X,sK38_skl(B,A))],[f170])).
% 1.22/0.68 fof(f172,plain,(
% 1.22/0.68 ![X0]: (~sP16_prd|sP17_prd|~q1(X0)|p1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f171])).
% 1.22/0.68 fof(f173,plain,(
% 1.22/0.68 ![X0]: (~sP16_prd|sP17_prd|p1(X0)|q1(X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f171])).
% 1.22/0.68 fof(f176,plain,(
% 1.22/0.68 ~sP16_prd|sP17_prd|~p1(sK35_skl)|~p1(sK36_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f171])).
% 1.22/0.68 fof(f182,definition,(
% 1.22/0.68 sP18_prd<=>(((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,X)))))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 1.22/0.68 fof(f183,plain,(
% 1.22/0.68 sP17_prd<=>(sP18_prd|((![X,Y]: (eq(X,Y)<=>(![Z]: (a_member_of(Z,X)<=>a_member_of(Z,Y)))))&(?[A,B]: (eq(A,B)&~eq(B,A)))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f167,f182])).
% 1.22/0.68 fof(f184,definition,(
% 1.22/0.68 ![X,Y,Z]: (sP19_prd(Z,Y,X)<=>(a_member_of(Z,X)<=>a_member_of(Z,Y)))),
% 1.22/0.68 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 1.22/0.68 fof(f185,plain,(
% 1.22/0.68 sP17_prd<=>(sP18_prd|((![X,Y]: (eq(X,Y)<=>(![Z]: sP19_prd(Z,Y,X))))&(?[A,B]: (eq(A,B)&~eq(B,A)))))),
% 1.22/0.68 inference(formula_renaming,[status(thm)],[f183,f184])).
% 1.22/0.68 fof(f186,plain,(
% 1.22/0.68 (~sP17_prd|(sP18_prd|((![X,Y]: ((~eq(X,Y)|(![Z]: sP19_prd(Z,Y,X)))&(eq(X,Y)|(?[Z]: ~sP19_prd(Z,Y,X)))))&(?[A,B]: (eq(A,B)&~eq(B,A))))))&(sP17_prd|(~sP18_prd&((?[X,Y]: ((~eq(X,Y)|(?[Z]: ~sP19_prd(Z,Y,X)))&(eq(X,Y)|(![Z]: sP19_prd(Z,Y,X)))))|(![A,B]: (~eq(A,B)|eq(B,A))))))),
% 1.22/0.68 inference(NNF_transformation,[status(thm)],[f185])).
% 1.22/0.68 fof(f187,plain,(
% 1.22/0.68 (~sP17_prd|(sP18_prd|(((![X,Y]: (~eq(X,Y)|(![Z]: sP19_prd(Z,Y,X))))&(![X,Y]: (eq(X,Y)|(?[Z]: ~sP19_prd(Z,Y,X)))))&(?[A,B]: (eq(A,B)&~eq(B,A))))))&(sP17_prd|(~sP18_prd&((?[X,Y]: ((~eq(X,Y)|(?[Z]: ~sP19_prd(Z,Y,X)))&(eq(X,Y)|(![Z]: sP19_prd(Z,Y,X)))))|(![A,B]: (~eq(A,B)|eq(B,A))))))),
% 1.22/0.68 inference(miniscoping,[status(thm)],[f186])).
% 1.22/0.68 fof(f188,plain,(
% 1.22/0.68 (~sP17_prd|(sP18_prd|(((![X,Y]: (~eq(X,Y)|(![Z]: sP19_prd(Z,Y,X))))&(![X,Y]: (eq(X,Y)|~sP19_prd(sK39_skl(Y,X),Y,X))))&(eq(sK40_skl,sK41_skl)&~eq(sK41_skl,sK40_skl)))))&(sP17_prd|(~sP18_prd&(((~eq(sK42_skl,sK43_skl)|~sP19_prd(sK44_skl,sK43_skl,sK42_skl))&(eq(sK42_skl,sK43_skl)|(![Z]: sP19_prd(Z,sK43_skl,sK42_skl))))|(![A,B]: (~eq(A,B)|eq(B,A))))))),
% 1.22/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK39_skl,sK40_skl,sK41_skl,sK42_skl,sK43_skl,sK44_skl]),skolemize(Z,sK39_skl(Y,X)),skolemize(A,sK40_skl),skolemize(B,sK41_skl),skolemize(X,sK42_skl),skolemize(Y,sK43_skl),skolemize(Z,sK44_skl)],[f187])).
% 1.22/0.68 fof(f189,plain,(
% 1.22/0.68 ![X0,X1,X2]: (~sP17_prd|sP18_prd|~eq(X0,X1)|sP19_prd(X2,X1,X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f188])).
% 1.22/0.68 fof(f190,plain,(
% 1.22/0.68 ![X0,X1]: (~sP17_prd|sP18_prd|eq(X0,X1)|~sP19_prd(sK39_skl(X1,X0),X1,X0))),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f188])).
% 1.22/0.68 fof(f191,plain,(
% 1.22/0.68 ~sP17_prd|sP18_prd|eq(sK40_skl,sK41_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f188])).
% 1.22/0.68 fof(f192,plain,(
% 1.22/0.68 ~sP17_prd|sP18_prd|~eq(sK41_skl,sK40_skl)),
% 1.22/0.68 inference(cnf_transformation,[status(thm)],[f188])).
% 1.22/0.68 fof(f196,definition,(
% 1.22/0.68 sP20_prd<=>((((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))|((?[X]: p1(X))&(![Z]: ~p1(Z))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 1.22/0.69 fof(f197,plain,(
% 1.22/0.69 sP18_prd<=>(sP20_prd|(![Z]: ?[X]: ![Y]: ((p(Y,X)&(![W]: ~p(W,Y)))|((p(Z,Y)&p(Y,Z))&~p(Y,X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f182,f196])).
% 1.22/0.69 fof(f198,definition,(
% 1.22/0.69 ![X,Y]: (sP21_prd(Y,X)<=>(p(Y,X)&(![W]: ~p(W,Y))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 1.22/0.69 fof(f199,plain,(
% 1.22/0.69 sP18_prd<=>(sP20_prd|(![Z]: ?[X]: ![Y]: (sP21_prd(Y,X)|((p(Z,Y)&p(Y,Z))&~p(Y,X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f197,f198])).
% 1.22/0.69 fof(f200,plain,(
% 1.22/0.69 (~sP18_prd|(sP20_prd|(![Z]: ?[X]: ![Y]: (sP21_prd(Y,X)|((p(Z,Y)&p(Y,Z))&~p(Y,X))))))&(sP18_prd|(~sP20_prd&(?[Z]: ![X]: ?[Y]: (~sP21_prd(Y,X)&((~p(Z,Y)|~p(Y,Z))|p(Y,X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f199])).
% 1.22/0.69 fof(f201,plain,(
% 1.22/0.69 (~sP18_prd|(sP20_prd|(![Z]: ![Y]: (sP21_prd(Y,sK45_skl(Z))|((p(Z,Y)&p(Y,Z))&~p(Y,sK45_skl(Z)))))))&(sP18_prd|(~sP20_prd&![X]: (~sP21_prd(sK47_skl(X),X)&((~p(sK46_skl,sK47_skl(X))|~p(sK47_skl(X),sK46_skl))|p(sK47_skl(X),X)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl,sK46_skl,sK47_skl]),skolemize(X,sK45_skl(Z)),skolemize(Z,sK46_skl),skolemize(Y,sK47_skl(X))],[f200])).
% 1.22/0.69 fof(f202,plain,(
% 1.22/0.69 ![X0,X1]: (~sP18_prd|sP20_prd|sP21_prd(X0,sK45_skl(X1))|p(X1,X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f201])).
% 1.22/0.69 fof(f203,plain,(
% 1.22/0.69 ![X0,X1]: (~sP18_prd|sP20_prd|sP21_prd(X0,sK45_skl(X1))|p(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f201])).
% 1.22/0.69 fof(f204,plain,(
% 1.22/0.69 ![X0,X1]: (~sP18_prd|sP20_prd|sP21_prd(X0,sK45_skl(X1))|~p(X0,sK45_skl(X1)))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f201])).
% 1.22/0.69 fof(f208,plain,(
% 1.22/0.69 ![X,Y,Z]: ((~sP19_prd(Z,Y,X)|((~a_member_of(Z,X)|a_member_of(Z,Y))&(a_member_of(Z,X)|~a_member_of(Z,Y))))&(sP19_prd(Z,Y,X)|((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y)))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f184])).
% 1.22/0.69 fof(f209,plain,(
% 1.22/0.69 (![X,Y,Z]: (~sP19_prd(Z,Y,X)|((~a_member_of(Z,X)|a_member_of(Z,Y))&(a_member_of(Z,X)|~a_member_of(Z,Y)))))&(![X,Y,Z]: (sP19_prd(Z,Y,X)|((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y)))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f208])).
% 1.22/0.69 fof(f210,plain,(
% 1.22/0.69 ![X0,X1,X2]: (~sP19_prd(X0,X1,X2)|~a_member_of(X0,X2)|a_member_of(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f209])).
% 1.22/0.69 fof(f211,plain,(
% 1.22/0.69 ![X0,X1,X2]: (~sP19_prd(X0,X1,X2)|a_member_of(X0,X2)|~a_member_of(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f209])).
% 1.22/0.69 fof(f212,plain,(
% 1.22/0.69 ![X0,X1,X2]: (sP19_prd(X0,X1,X2)|~a_member_of(X0,X2)|~a_member_of(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f209])).
% 1.22/0.69 fof(f213,plain,(
% 1.22/0.69 ![X0,X1,X2]: (sP19_prd(X0,X1,X2)|a_member_of(X0,X2)|a_member_of(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f209])).
% 1.22/0.69 fof(f214,definition,(
% 1.22/0.69 sP22_prd<=>(((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))|((?[X]: p1(X))<~>(?[Y]: p1(Y))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 1.22/0.69 fof(f215,plain,(
% 1.22/0.69 sP20_prd<=>(sP22_prd|((?[X]: p1(X))&(![Z]: ~p1(Z))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f196,f214])).
% 1.22/0.69 fof(f216,plain,(
% 1.22/0.69 (~sP20_prd|(sP22_prd|((?[X]: p1(X))&(![Z]: ~p1(Z)))))&(sP20_prd|(~sP22_prd&((![X]: ~p1(X))|(?[Z]: p1(Z)))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f215])).
% 1.22/0.69 fof(f217,plain,(
% 1.22/0.69 (~sP20_prd|(sP22_prd|(p1(sK48_skl)&(![Z]: ~p1(Z)))))&(sP20_prd|(~sP22_prd&((![X]: ~p1(X))|p1(sK49_skl))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(X,sK48_skl),skolemize(Z,sK49_skl)],[f216])).
% 1.22/0.69 fof(f218,plain,(
% 1.22/0.69 ~sP20_prd|sP22_prd|p1(sK48_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f217])).
% 1.22/0.69 fof(f219,plain,(
% 1.22/0.69 ![X0]: (~sP20_prd|sP22_prd|~p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f217])).
% 1.22/0.69 fof(f222,plain,(
% 1.22/0.69 ![X,Y]: ((~sP21_prd(Y,X)|(p(Y,X)&(![W]: ~p(W,Y))))&(sP21_prd(Y,X)|(~p(Y,X)|(?[W]: p(W,Y)))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f198])).
% 1.22/0.69 fof(f223,plain,(
% 1.22/0.69 (![X,Y]: (~sP21_prd(Y,X)|(p(Y,X)&(![W]: ~p(W,Y)))))&(![X,Y]: (sP21_prd(Y,X)|(~p(Y,X)|(?[W]: p(W,Y)))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f222])).
% 1.22/0.69 fof(f224,plain,(
% 1.22/0.69 (![X,Y]: (~sP21_prd(Y,X)|(p(Y,X)&(![W]: ~p(W,Y)))))&(![X,Y]: (sP21_prd(Y,X)|(~p(Y,X)|p(sK50_skl(Y,X),Y))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK50_skl]),skolemize(W,sK50_skl(Y,X))],[f223])).
% 1.22/0.69 fof(f225,plain,(
% 1.22/0.69 ![X0,X1]: (~sP21_prd(X0,X1)|p(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f224])).
% 1.22/0.69 fof(f226,plain,(
% 1.22/0.69 ![X0,X1,X2]: (~sP21_prd(X0,X1)|~p(X2,X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f224])).
% 1.22/0.69 fof(f228,definition,(
% 1.22/0.69 sP23_prd<=>((((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 1.22/0.69 fof(f229,plain,(
% 1.22/0.69 sP22_prd<=>(sP23_prd|((?[X]: p1(X))<~>(?[Y]: p1(Y))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f214,f228])).
% 1.22/0.69 fof(f230,plain,(
% 1.22/0.69 (~sP22_prd|(sP23_prd|(((?[X]: p1(X))|(?[Y]: p1(Y)))&((![X]: ~p1(X))|(![Y]: ~p1(Y))))))&(sP22_prd|(~sP23_prd&(((![X]: ~p1(X))|(?[Y]: p1(Y)))&((?[X]: p1(X))|(![Y]: ~p1(Y))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f229])).
% 1.22/0.69 fof(f231,plain,(
% 1.22/0.69 (~sP22_prd|(sP23_prd|((p1(sK51_skl)|p1(sK52_skl))&((![X]: ~p1(X))|(![Y]: ~p1(Y))))))&(sP22_prd|(~sP23_prd&(((![X]: ~p1(X))|p1(sK53_skl))&(p1(sK54_skl)|(![Y]: ~p1(Y))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl,sK52_skl,sK53_skl,sK54_skl]),skolemize(X,sK51_skl),skolemize(Y,sK52_skl),skolemize(Y,sK53_skl),skolemize(X,sK54_skl)],[f230])).
% 1.22/0.69 fof(f232,plain,(
% 1.22/0.69 ~sP22_prd|sP23_prd|p1(sK51_skl)|p1(sK52_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f231])).
% 1.22/0.69 fof(f233,plain,(
% 1.22/0.69 ![X0,X1]: (~sP22_prd|sP23_prd|~p1(X0)|~p1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f231])).
% 1.22/0.69 fof(f237,definition,(
% 1.22/0.69 sP24_prd<=>(((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 1.22/0.69 fof(f238,plain,(
% 1.22/0.69 sP23_prd<=>(sP24_prd|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f228,f237])).
% 1.22/0.69 fof(f239,plain,(
% 1.22/0.69 (~sP23_prd|(sP24_prd|((![X]: p1(X))&((?[X]: ~p1(X))|(?[Y]: ~p1(Y))))))&(sP23_prd|(~sP24_prd&((?[X]: ~p1(X))|((![X]: p1(X))&(![Y]: p1(Y))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f238])).
% 1.22/0.69 fof(f240,plain,(
% 1.22/0.69 (~sP23_prd|(sP24_prd|((![X]: p1(X))&(~p1(sK55_skl)|~p1(sK56_skl)))))&(sP23_prd|(~sP24_prd&(~p1(sK57_skl)|((![X]: p1(X))&(![Y]: p1(Y))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK55_skl,sK56_skl,sK57_skl]),skolemize(X,sK55_skl),skolemize(Y,sK56_skl),skolemize(X,sK57_skl)],[f239])).
% 1.22/0.69 fof(f241,plain,(
% 1.22/0.69 ![X0]: (~sP23_prd|sP24_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f240])).
% 1.22/0.69 fof(f242,plain,(
% 1.22/0.69 ~sP23_prd|sP24_prd|~p1(sK55_skl)|~p1(sK56_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f240])).
% 1.22/0.69 fof(f246,definition,(
% 1.22/0.69 sP25_prd<=>((((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 1.22/0.69 fof(f247,plain,(
% 1.22/0.69 sP24_prd<=>(sP25_prd|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f237,f246])).
% 1.22/0.69 fof(f248,plain,(
% 1.22/0.69 (~sP24_prd|(sP25_prd|(?[A,B]: ((![X]: p1(X))&(~p1(A)|~p1(B))))))&(sP24_prd|(~sP25_prd&(![A,B]: ((?[X]: ~p1(X))|(p1(A)&p1(B))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f247])).
% 1.22/0.69 fof(f249,plain,(
% 1.22/0.69 (~sP24_prd|(sP25_prd|((![X]: p1(X))&((?[A]: ~p1(A))|(?[B]: ~p1(B))))))&(sP24_prd|(~sP25_prd&((?[X]: ~p1(X))|((![A]: p1(A))&(![B]: p1(B))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f248])).
% 1.22/0.69 fof(f250,plain,(
% 1.22/0.69 (~sP24_prd|(sP25_prd|((![X]: p1(X))&(~p1(sK58_skl)|~p1(sK59_skl)))))&(sP24_prd|(~sP25_prd&(~p1(sK60_skl)|((![A]: p1(A))&(![B]: p1(B))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK58_skl,sK59_skl,sK60_skl]),skolemize(A,sK58_skl),skolemize(B,sK59_skl),skolemize(X,sK60_skl)],[f249])).
% 1.22/0.69 fof(f251,plain,(
% 1.22/0.69 ![X0]: (~sP24_prd|sP25_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f250])).
% 1.22/0.69 fof(f252,plain,(
% 1.22/0.69 ~sP24_prd|sP25_prd|~p1(sK58_skl)|~p1(sK59_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f250])).
% 1.22/0.69 fof(f256,definition,(
% 1.22/0.69 sP26_prd<=>(((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 1.22/0.69 fof(f257,plain,(
% 1.22/0.69 sP25_prd<=>(sP26_prd|((?[X,Y]: a(X,Y))<~>(?[Y,X]: a(X,Y))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f246,f256])).
% 1.22/0.69 fof(f258,plain,(
% 1.22/0.69 (~sP25_prd|(sP26_prd|(((?[X,Y]: a(X,Y))|(?[Y,X]: a(X,Y)))&((![X,Y]: ~a(X,Y))|(![Y,X]: ~a(X,Y))))))&(sP25_prd|(~sP26_prd&(((![X,Y]: ~a(X,Y))|(?[Y,X]: a(X,Y)))&((?[X,Y]: a(X,Y))|(![Y,X]: ~a(X,Y))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f257])).
% 1.22/0.69 fof(f259,plain,(
% 1.22/0.69 (~sP25_prd|(sP26_prd|((a(sK61_skl,sK62_skl)|a(sK64_skl,sK63_skl))&((![X,Y]: ~a(X,Y))|(![Y,X]: ~a(X,Y))))))&(sP25_prd|(~sP26_prd&(((![X,Y]: ~a(X,Y))|a(sK66_skl,sK65_skl))&(a(sK67_skl,sK68_skl)|(![Y,X]: ~a(X,Y))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK61_skl,sK62_skl,sK63_skl,sK64_skl,sK65_skl,sK66_skl,sK67_skl,sK68_skl]),skolemize(X,sK61_skl),skolemize(Y,sK62_skl),skolemize(Y,sK63_skl),skolemize(X,sK64_skl),skolemize(Y,sK65_skl),skolemize(X,sK66_skl),skolemize(X,sK67_skl),skolemize(Y,sK68_skl)],[f258])).
% 1.22/0.69 fof(f260,plain,(
% 1.22/0.69 ~sP25_prd|sP26_prd|a(sK61_skl,sK62_skl)|a(sK64_skl,sK63_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f259])).
% 1.22/0.69 fof(f261,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP25_prd|sP26_prd|~a(X0,X1)|~a(X2,X3))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f259])).
% 1.22/0.69 fof(f265,definition,(
% 1.22/0.69 sP27_prd<=>((((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 1.22/0.69 fof(f266,plain,(
% 1.22/0.69 sP26_prd<=>(sP27_prd|((?[X]: b(X))&(![X]: (~a1(X)&~b(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f256,f265])).
% 1.22/0.69 fof(f267,plain,(
% 1.22/0.69 (~sP26_prd|(sP27_prd|((?[X]: b(X))&(![X]: (~a1(X)&~b(X))))))&(sP26_prd|(~sP27_prd&((![X]: ~b(X))|(?[X]: (a1(X)|b(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f266])).
% 1.22/0.69 fof(f268,plain,(
% 1.22/0.69 (~sP26_prd|(sP27_prd|((?[X]: b(X))&((![X]: ~a1(X))&(![X]: ~b(X))))))&(sP26_prd|(~sP27_prd&((![X]: ~b(X))|((?[X]: a1(X))|(?[X]: b(X))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f267])).
% 1.22/0.69 fof(f269,plain,(
% 1.22/0.69 (~sP26_prd|(sP27_prd|(b(sK69_skl)&((![X]: ~a1(X))&(![X]: ~b(X))))))&(sP26_prd|(~sP27_prd&((![X]: ~b(X))|(a1(sK70_skl)|b(sK71_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK69_skl,sK70_skl,sK71_skl]),skolemize(X,sK69_skl),skolemize(X,sK70_skl),skolemize(X,sK71_skl)],[f268])).
% 1.22/0.69 fof(f270,plain,(
% 1.22/0.69 ~sP26_prd|sP27_prd|b(sK69_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f269])).
% 1.22/0.69 fof(f272,plain,(
% 1.22/0.69 ![X0]: (~sP26_prd|sP27_prd|~b(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f269])).
% 1.22/0.69 fof(f275,definition,(
% 1.22/0.69 sP28_prd<=>(((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 1.22/0.69 fof(f276,plain,(
% 1.22/0.69 sP27_prd<=>(sP28_prd|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f265,f275])).
% 1.22/0.69 fof(f277,plain,(
% 1.22/0.69 (~sP27_prd|(sP28_prd|(((?[X]: a1(X))&(![X]: b(X)))&(![X]: (~a1(X)|~b(X))))))&(sP27_prd|(~sP28_prd&(((![X]: ~a1(X))|(?[X]: ~b(X)))|(?[X]: (a1(X)&b(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f276])).
% 1.22/0.69 fof(f278,plain,(
% 1.22/0.69 (~sP27_prd|(sP28_prd|((a1(sK72_skl)&(![X]: b(X)))&(![X]: (~a1(X)|~b(X))))))&(sP27_prd|(~sP28_prd&(((![X]: ~a1(X))|~b(sK73_skl))|(a1(sK74_skl)&b(sK74_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK72_skl,sK73_skl,sK74_skl]),skolemize(X,sK72_skl),skolemize(X,sK73_skl),skolemize(X,sK74_skl)],[f277])).
% 1.22/0.69 fof(f279,plain,(
% 1.22/0.69 ~sP27_prd|sP28_prd|a1(sK72_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f278])).
% 1.22/0.69 fof(f280,plain,(
% 1.22/0.69 ![X0]: (~sP27_prd|sP28_prd|b(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f278])).
% 1.22/0.69 fof(f281,plain,(
% 1.22/0.69 ![X0]: (~sP27_prd|sP28_prd|~a1(X0)|~b(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f278])).
% 1.22/0.69 fof(f285,definition,(
% 1.22/0.69 sP29_prd<=>((((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 1.22/0.69 fof(f286,plain,(
% 1.22/0.69 sP28_prd<=>(sP29_prd|(?[Y]: ![X]: (a(X,Y)<=>~a(X,X))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f275,f285])).
% 1.22/0.69 fof(f287,plain,(
% 1.22/0.69 (~sP28_prd|(sP29_prd|(?[Y]: ![X]: ((~a(X,Y)|~a(X,X))&(a(X,Y)|a(X,X))))))&(sP28_prd|(~sP29_prd&(![Y]: ?[X]: ((~a(X,Y)|a(X,X))&(a(X,Y)|~a(X,X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f286])).
% 1.22/0.69 fof(f288,plain,(
% 1.22/0.69 (~sP28_prd|(sP29_prd|(?[Y]: ((![X]: (~a(X,Y)|~a(X,X)))&(![X]: (a(X,Y)|a(X,X)))))))&(sP28_prd|(~sP29_prd&(![Y]: ?[X]: ((~a(X,Y)|a(X,X))&(a(X,Y)|~a(X,X))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f287])).
% 1.22/0.69 fof(f289,plain,(
% 1.22/0.69 (~sP28_prd|(sP29_prd|((![X]: (~a(X,sK75_skl)|~a(X,X)))&(![X]: (a(X,sK75_skl)|a(X,X))))))&(sP28_prd|(~sP29_prd&(![Y]: ((~a(sK76_skl(Y),Y)|a(sK76_skl(Y),sK76_skl(Y)))&(a(sK76_skl(Y),Y)|~a(sK76_skl(Y),sK76_skl(Y)))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK75_skl,sK76_skl]),skolemize(Y,sK75_skl),skolemize(X,sK76_skl(Y))],[f288])).
% 1.22/0.69 fof(f290,plain,(
% 1.22/0.69 ![X0]: (~sP28_prd|sP29_prd|~a(X0,sK75_skl)|~a(X0,X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f289])).
% 1.22/0.69 fof(f291,plain,(
% 1.22/0.69 ![X0]: (~sP28_prd|sP29_prd|a(X0,sK75_skl)|a(X0,X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f289])).
% 1.22/0.69 fof(f295,definition,(
% 1.22/0.69 sP30_prd<=>(((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 1.22/0.69 fof(f296,plain,(
% 1.22/0.69 sP29_prd<=>(sP30_prd|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f285,f295])).
% 1.22/0.69 fof(f297,plain,(
% 1.22/0.69 (~sP29_prd|(sP30_prd|((?[X]: (~a1(X)|b(X)))&((![X]: a1(X))&(![X]: ~b(X))))))&(sP29_prd|(~sP30_prd&((![X]: (a1(X)&~b(X)))|((?[X]: ~a1(X))|(?[X]: b(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f296])).
% 1.22/0.69 fof(f298,plain,(
% 1.22/0.69 (~sP29_prd|(sP30_prd|(((?[X]: ~a1(X))|(?[X]: b(X)))&((![X]: a1(X))&(![X]: ~b(X))))))&(sP29_prd|(~sP30_prd&(((![X]: a1(X))&(![X]: ~b(X)))|((?[X]: ~a1(X))|(?[X]: b(X))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f297])).
% 1.22/0.69 fof(f299,plain,(
% 1.22/0.69 (~sP29_prd|(sP30_prd|((~a1(sK77_skl)|b(sK78_skl))&((![X]: a1(X))&(![X]: ~b(X))))))&(sP29_prd|(~sP30_prd&(((![X]: a1(X))&(![X]: ~b(X)))|(~a1(sK79_skl)|b(sK80_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK77_skl,sK78_skl,sK79_skl,sK80_skl]),skolemize(X,sK77_skl),skolemize(X,sK78_skl),skolemize(X,sK79_skl),skolemize(X,sK80_skl)],[f298])).
% 1.22/0.69 fof(f300,plain,(
% 1.22/0.69 ~sP29_prd|sP30_prd|~a1(sK77_skl)|b(sK78_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f299])).
% 1.22/0.69 fof(f301,plain,(
% 1.22/0.69 ![X0]: (~sP29_prd|sP30_prd|a1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f299])).
% 1.22/0.69 fof(f302,plain,(
% 1.22/0.69 ![X0]: (~sP29_prd|sP30_prd|~b(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f299])).
% 1.22/0.69 fof(f306,definition,(
% 1.22/0.69 sP31_prd<=>((((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 1.22/0.69 fof(f307,plain,(
% 1.22/0.69 sP30_prd<=>(sP31_prd|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f295,f306])).
% 1.22/0.69 fof(f308,plain,(
% 1.22/0.69 (~sP30_prd|(sP31_prd|((![X]: (~a1(X)|b(X)))&((?[X]: a1(X))&(![X]: ~b(X))))))&(sP30_prd|(~sP31_prd&((?[X]: (a1(X)&~b(X)))|((![X]: ~a1(X))|(?[X]: b(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f307])).
% 1.22/0.69 fof(f309,plain,(
% 1.22/0.69 (~sP30_prd|(sP31_prd|((![X]: (~a1(X)|b(X)))&(a1(sK81_skl)&(![X]: ~b(X))))))&(sP30_prd|(~sP31_prd&((a1(sK82_skl)&~b(sK82_skl))|((![X]: ~a1(X))|b(sK83_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK81_skl,sK82_skl,sK83_skl]),skolemize(X,sK81_skl),skolemize(X,sK82_skl),skolemize(X,sK83_skl)],[f308])).
% 1.22/0.69 fof(f310,plain,(
% 1.22/0.69 ![X0]: (~sP30_prd|sP31_prd|~a1(X0)|b(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f309])).
% 1.22/0.69 fof(f311,plain,(
% 1.22/0.69 ~sP30_prd|sP31_prd|a1(sK81_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f309])).
% 1.22/0.69 fof(f312,plain,(
% 1.22/0.69 ![X0]: (~sP30_prd|sP31_prd|~b(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f309])).
% 1.22/0.69 fof(f313,plain,(
% 1.22/0.69 sP30_prd|~sP31_prd),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f309])).
% 1.22/0.69 fof(f316,definition,(
% 1.22/0.69 sP32_prd<=>(((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 1.22/0.69 fof(f317,plain,(
% 1.22/0.69 sP31_prd<=>(sP32_prd|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f306,f316])).
% 1.22/0.69 fof(f318,plain,(
% 1.22/0.69 (~sP31_prd|(sP32_prd|(?[A,B]: ((![Z]: (~q1(Z)|p1(Z)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B))))))))&(sP31_prd|(~sP32_prd&(![A,B]: ((?[Z]: (q1(Z)&~p1(Z)))|(?[X]: ((~p1(X)|p1(A))&(~q1(X)|p1(B))))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f317])).
% 1.22/0.69 fof(f319,plain,(
% 1.22/0.69 (~sP31_prd|(sP32_prd|((![Z]: (~q1(Z)|p1(Z)))&(?[A,B]: ![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))&(sP31_prd|(~sP32_prd&((?[Z]: (q1(Z)&~p1(Z)))|(![A,B]: ?[X]: ((~p1(X)|p1(A))&(~q1(X)|p1(B)))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f318])).
% 1.22/0.69 fof(f320,plain,(
% 1.22/0.69 (~sP31_prd|(sP32_prd|((![Z]: (~q1(Z)|p1(Z)))&![X]: ((p1(X)&~p1(sK84_skl))|(q1(X)&~p1(sK85_skl))))))&(sP31_prd|(~sP32_prd&((q1(sK86_skl)&~p1(sK86_skl))|(![A,B]: ((~p1(sK87_skl(B,A))|p1(A))&(~q1(sK87_skl(B,A))|p1(B)))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK84_skl,sK85_skl,sK86_skl,sK87_skl]),skolemize(A,sK84_skl),skolemize(B,sK85_skl),skolemize(Z,sK86_skl),skolemize(X,sK87_skl(B,A))],[f319])).
% 1.22/0.69 fof(f321,plain,(
% 1.22/0.69 ![X0]: (~sP31_prd|sP32_prd|~q1(X0)|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f320])).
% 1.22/0.69 fof(f322,plain,(
% 1.22/0.69 ![X0]: (~sP31_prd|sP32_prd|p1(X0)|q1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f320])).
% 1.22/0.69 fof(f325,plain,(
% 1.22/0.69 ~sP31_prd|sP32_prd|~p1(sK84_skl)|~p1(sK85_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f320])).
% 1.22/0.69 fof(f331,definition,(
% 1.22/0.69 sP33_prd<=>((((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))|((![X]: p1(X))&(![Y]: ~p1(Y))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 1.22/0.69 fof(f332,plain,(
% 1.22/0.69 sP32_prd<=>(sP33_prd|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f316,f331])).
% 1.22/0.69 fof(f333,plain,(
% 1.22/0.69 (~sP32_prd|(sP33_prd|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&(?[X]: ~q1(X))))))&(sP32_prd|(~sP33_prd&((?[X]: (p1(X)&~q1(X)))|((?[X]: ~p1(X))|(![X]: q1(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f332])).
% 1.22/0.69 fof(f334,plain,(
% 1.22/0.69 (~sP32_prd|(sP33_prd|((![X]: (~p1(X)|q1(X)))&((![X]: p1(X))&~q1(sK88_skl)))))&(sP32_prd|(~sP33_prd&((p1(sK89_skl)&~q1(sK89_skl))|(~p1(sK90_skl)|(![X]: q1(X))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK88_skl,sK89_skl,sK90_skl]),skolemize(X,sK88_skl),skolemize(X,sK89_skl),skolemize(X,sK90_skl)],[f333])).
% 1.22/0.69 fof(f335,plain,(
% 1.22/0.69 ![X0]: (~sP32_prd|sP33_prd|~p1(X0)|q1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f334])).
% 1.22/0.69 fof(f336,plain,(
% 1.22/0.69 ![X0]: (~sP32_prd|sP33_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f334])).
% 1.22/0.69 fof(f337,plain,(
% 1.22/0.69 ~sP32_prd|sP33_prd|~q1(sK88_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f334])).
% 1.22/0.69 fof(f341,definition,(
% 1.22/0.69 sP34_prd<=>(((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 1.22/0.69 fof(f342,plain,(
% 1.22/0.69 sP33_prd<=>(sP34_prd|((![X]: p1(X))&(![Y]: ~p1(Y))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f331,f341])).
% 1.22/0.69 fof(f343,plain,(
% 1.22/0.69 (~sP33_prd|(sP34_prd|((![X]: p1(X))&(![Y]: ~p1(Y)))))&(sP33_prd|(~sP34_prd&((?[X]: ~p1(X))|(?[Y]: p1(Y)))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f342])).
% 1.22/0.69 fof(f344,plain,(
% 1.22/0.69 (~sP33_prd|(sP34_prd|((![X]: p1(X))&(![Y]: ~p1(Y)))))&(sP33_prd|(~sP34_prd&(~p1(sK91_skl)|p1(sK92_skl))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK91_skl,sK92_skl]),skolemize(X,sK91_skl),skolemize(Y,sK92_skl)],[f343])).
% 1.22/0.69 fof(f345,plain,(
% 1.22/0.69 ![X0]: (~sP33_prd|sP34_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f344])).
% 1.22/0.69 fof(f346,plain,(
% 1.22/0.69 ![X0]: (~sP33_prd|sP34_prd|~p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f344])).
% 1.22/0.69 fof(f349,definition,(
% 1.22/0.69 sP35_prd<=>((((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 1.22/0.69 fof(f350,plain,(
% 1.22/0.69 sP34_prd<=>(sP35_prd|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f341,f349])).
% 1.22/0.69 fof(f351,plain,(
% 1.22/0.69 (~sP34_prd|(sP35_prd|((?[X]: p1(X))&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0)))))))&(sP34_prd|(~sP35_prd&((![X]: ~p1(X))|((?[X]: p1(X))&(~a0|((b0|~b0)&(~q0|q0)))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f350])).
% 1.22/0.69 fof(f352,plain,(
% 1.22/0.69 (~sP34_prd|(sP35_prd|(p1(sK93_skl)&((![X]: ~p1(X))|(a0&((~b0&b0)|(q0&~q0)))))))&(sP34_prd|(~sP35_prd&((![X]: ~p1(X))|(p1(sK94_skl)&(~a0|((b0|~b0)&(~q0|q0)))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK93_skl,sK94_skl]),skolemize(X,sK93_skl),skolemize(X,sK94_skl)],[f351])).
% 1.22/0.69 fof(f353,plain,(
% 1.22/0.69 ~sP34_prd|sP35_prd|p1(sK93_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f352])).
% 1.22/0.69 fof(f355,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|~b0|q0)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f352])).
% 1.22/0.69 fof(f356,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|~b0|~q0)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f352])).
% 1.22/0.69 fof(f357,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|b0|q0)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f352])).
% 1.22/0.69 fof(f358,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|b0|~q0)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f352])).
% 1.22/0.69 fof(f363,definition,(
% 1.22/0.69 sP36_prd<=>(((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 1.22/0.69 fof(f364,plain,(
% 1.22/0.69 sP35_prd<=>(sP36_prd|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f349,f363])).
% 1.22/0.69 fof(f365,plain,(
% 1.22/0.69 (~sP35_prd|(sP36_prd|(?[A,B]: ((![Y]: (~q1(Y)|p1(Y)))&(![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B))))))))&(sP35_prd|(~sP36_prd&(![A,B]: ((?[Y]: (q1(Y)&~p1(Y)))|(?[X]: ((~p1(X)|p1(A))&(~q1(X)|p1(B))))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f364])).
% 1.22/0.69 fof(f366,plain,(
% 1.22/0.69 (~sP35_prd|(sP36_prd|((![Y]: (~q1(Y)|p1(Y)))&(?[A,B]: ![X]: ((p1(X)&~p1(A))|(q1(X)&~p1(B)))))))&(sP35_prd|(~sP36_prd&((?[Y]: (q1(Y)&~p1(Y)))|(![A,B]: ?[X]: ((~p1(X)|p1(A))&(~q1(X)|p1(B)))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f365])).
% 1.22/0.69 fof(f367,plain,(
% 1.22/0.69 (~sP35_prd|(sP36_prd|((![Y]: (~q1(Y)|p1(Y)))&![X]: ((p1(X)&~p1(sK95_skl))|(q1(X)&~p1(sK96_skl))))))&(sP35_prd|(~sP36_prd&((q1(sK97_skl)&~p1(sK97_skl))|(![A,B]: ((~p1(sK98_skl(B,A))|p1(A))&(~q1(sK98_skl(B,A))|p1(B)))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK95_skl,sK96_skl,sK97_skl,sK98_skl]),skolemize(A,sK95_skl),skolemize(B,sK96_skl),skolemize(Y,sK97_skl),skolemize(X,sK98_skl(B,A))],[f366])).
% 1.22/0.69 fof(f368,plain,(
% 1.22/0.69 ![X0]: (~sP35_prd|sP36_prd|~q1(X0)|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f367])).
% 1.22/0.69 fof(f369,plain,(
% 1.22/0.69 ![X0]: (~sP35_prd|sP36_prd|p1(X0)|q1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f367])).
% 1.22/0.69 fof(f372,plain,(
% 1.22/0.69 ~sP35_prd|sP36_prd|~p1(sK95_skl)|~p1(sK96_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f367])).
% 1.22/0.69 fof(f378,definition,(
% 1.22/0.69 sP37_prd<=>((((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 1.22/0.69 fof(f379,plain,(
% 1.22/0.69 sP36_prd<=>(sP37_prd|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f363,f378])).
% 1.22/0.69 fof(f380,definition,(
% 1.22/0.69 ![X]: (sP38_prd(X)<=>(~s1(X)|p1(X)))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 1.22/0.69 fof(f381,plain,(
% 1.22/0.69 sP36_prd<=>(sP37_prd|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: sP38_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f379,f380])).
% 1.22/0.69 fof(f382,plain,(
% 1.22/0.69 (~sP36_prd|(sP37_prd|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: sP38_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y)))))))&(sP36_prd|(~sP37_prd&(![A,B,C]: (((((~s1(A)|~s1(B))|~r(B,C))|(?[X]: ~sP38_prd(X)))|(?[X,Y]: (r(X,Y)&~q(X,Y))))|(?[X,Y]: (p1(X)&q(X,Y)))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f381])).
% 1.22/0.69 fof(f383,plain,(
% 1.22/0.69 (~sP36_prd|(sP37_prd|((((?[B]: (((?[A]: s1(A))&s1(B))&(?[C]: r(B,C))))&(![X]: sP38_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X]: (~p1(X)|(![Y]: ~q(X,Y)))))))&(sP36_prd|(~sP37_prd&((((![B]: (((![A]: ~s1(A))|~s1(B))|(![C]: ~r(B,C))))|(?[X]: ~sP38_prd(X)))|(?[X,Y]: (r(X,Y)&~q(X,Y))))|(?[X]: (p1(X)&(?[Y]: q(X,Y)))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f382])).
% 1.22/0.69 fof(f384,plain,(
% 1.22/0.69 (~sP36_prd|(sP37_prd|(((((s1(sK100_skl)&s1(sK99_skl))&r(sK99_skl,sK101_skl))&(![X]: sP38_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X]: (~p1(X)|(![Y]: ~q(X,Y)))))))&(sP36_prd|(~sP37_prd&((((![B]: (((![A]: ~s1(A))|~s1(B))|(![C]: ~r(B,C))))|~sP38_prd(sK102_skl))|(r(sK103_skl,sK104_skl)&~q(sK103_skl,sK104_skl)))|(p1(sK105_skl)&q(sK105_skl,sK106_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK99_skl,sK100_skl,sK101_skl,sK102_skl,sK103_skl,sK104_skl,sK105_skl,sK106_skl]),skolemize(B,sK99_skl),skolemize(A,sK100_skl),skolemize(C,sK101_skl),skolemize(X,sK102_skl),skolemize(X,sK103_skl),skolemize(Y,sK104_skl),skolemize(X,sK105_skl),skolemize(Y,sK106_skl)],[f383])).
% 1.22/0.69 fof(f386,plain,(
% 1.22/0.69 ~sP36_prd|sP37_prd|s1(sK99_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f384])).
% 1.22/0.69 fof(f387,plain,(
% 1.22/0.69 ~sP36_prd|sP37_prd|r(sK99_skl,sK101_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f384])).
% 1.22/0.69 fof(f388,plain,(
% 1.22/0.69 ![X0]: (~sP36_prd|sP37_prd|sP38_prd(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f384])).
% 1.22/0.69 fof(f389,plain,(
% 1.22/0.69 ![X0,X1]: (~sP36_prd|sP37_prd|~r(X0,X1)|q(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f384])).
% 1.22/0.69 fof(f390,plain,(
% 1.22/0.69 ![X0,X1]: (~sP36_prd|sP37_prd|~p1(X0)|~q(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f384])).
% 1.22/0.69 fof(f396,definition,(
% 1.22/0.69 sP39_prd<=>(((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 1.22/0.69 fof(f397,plain,(
% 1.22/0.69 sP37_prd<=>(sP39_prd|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f378,f396])).
% 1.22/0.69 fof(f398,plain,(
% 1.22/0.69 (~sP37_prd|(sP39_prd|((![X]: ?[Y]: (a(X,Y)&a(Y,Y)))&(![Z]: ~a(Z,Z)))))&(sP37_prd|(~sP39_prd&((?[X]: ![Y]: (~a(X,Y)|~a(Y,Y)))|(?[Z]: a(Z,Z)))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f397])).
% 1.22/0.69 fof(f399,plain,(
% 1.22/0.69 (~sP37_prd|(sP39_prd|((![X]: (a(X,sK107_skl(X))&a(sK107_skl(X),sK107_skl(X))))&(![Z]: ~a(Z,Z)))))&(sP37_prd|(~sP39_prd&(![Y]: (~a(sK108_skl,Y)|~a(Y,Y))|a(sK109_skl,sK109_skl))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK107_skl,sK108_skl,sK109_skl]),skolemize(Y,sK107_skl(X)),skolemize(X,sK108_skl),skolemize(Z,sK109_skl)],[f398])).
% 1.22/0.69 fof(f401,plain,(
% 1.22/0.69 ![X0]: (~sP37_prd|sP39_prd|a(sK107_skl(X0),sK107_skl(X0)))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f399])).
% 1.22/0.69 fof(f402,plain,(
% 1.22/0.69 ![X0]: (~sP37_prd|sP39_prd|~a(X0,X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f399])).
% 1.22/0.69 fof(f405,plain,(
% 1.22/0.69 ![X]: ((~sP38_prd(X)|(~s1(X)|p1(X)))&(sP38_prd(X)|(s1(X)&~p1(X))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f380])).
% 1.22/0.69 fof(f406,plain,(
% 1.22/0.69 (![X]: (~sP38_prd(X)|(~s1(X)|p1(X))))&(![X]: (sP38_prd(X)|(s1(X)&~p1(X))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f405])).
% 1.22/0.69 fof(f407,plain,(
% 1.22/0.69 ![X0]: (~sP38_prd(X0)|~s1(X0)|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f406])).
% 1.22/0.69 fof(f410,definition,(
% 1.22/0.69 sP40_prd<=>((((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 1.22/0.69 fof(f411,plain,(
% 1.22/0.69 sP39_prd<=>(sP40_prd|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f396,f410])).
% 1.22/0.69 fof(f412,plain,(
% 1.22/0.69 (~sP39_prd|(sP40_prd|((![X]: ?[Y]: (p1(X)&q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z))))))&(sP39_prd|(~sP40_prd&((?[X]: ![Y]: (~p1(X)|~q1(Y)))|(?[Z]: ![Y]: (p1(Y)|r1(Z))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f411])).
% 1.22/0.69 fof(f413,plain,(
% 1.22/0.69 (~sP39_prd|(sP40_prd|(((![X]: p1(X))&(?[Y]: q1(Y)))&((?[Y]: ~p1(Y))&(![Z]: ~r1(Z))))))&(sP39_prd|(~sP40_prd&(((?[X]: ~p1(X))|(![Y]: ~q1(Y)))|((![Y]: p1(Y))|(?[Z]: r1(Z))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f412])).
% 1.22/0.69 fof(f414,plain,(
% 1.22/0.69 (~sP39_prd|(sP40_prd|(((![X]: p1(X))&q1(sK110_skl))&(~p1(sK111_skl)&(![Z]: ~r1(Z))))))&(sP39_prd|(~sP40_prd&((~p1(sK112_skl)|(![Y]: ~q1(Y)))|((![Y]: p1(Y))|r1(sK113_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK110_skl,sK111_skl,sK112_skl,sK113_skl]),skolemize(Y,sK110_skl),skolemize(Y,sK111_skl),skolemize(X,sK112_skl),skolemize(Z,sK113_skl)],[f413])).
% 1.22/0.69 fof(f415,plain,(
% 1.22/0.69 ![X0]: (~sP39_prd|sP40_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f414])).
% 1.22/0.69 fof(f417,plain,(
% 1.22/0.69 ~sP39_prd|sP40_prd|~p1(sK111_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f414])).
% 1.22/0.69 fof(f421,definition,(
% 1.22/0.69 sP41_prd<=>(((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 1.22/0.69 fof(f422,plain,(
% 1.22/0.69 sP40_prd<=>(sP41_prd|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f410,f421])).
% 1.22/0.69 fof(f423,plain,(
% 1.22/0.69 (~sP40_prd|(sP41_prd|(((![X]: p1(X))&(?[Y]: q1(Y)))&(![Z]: ?[Y]: (~p1(Y)&~r1(Z))))))&(sP40_prd|(~sP41_prd&(((?[X]: ~p1(X))|(![Y]: ~q1(Y)))|(?[Z]: ![Y]: (p1(Y)|r1(Z))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f422])).
% 1.22/0.69 fof(f424,plain,(
% 1.22/0.69 (~sP40_prd|(sP41_prd|(((![X]: p1(X))&(?[Y]: q1(Y)))&((?[Y]: ~p1(Y))&(![Z]: ~r1(Z))))))&(sP40_prd|(~sP41_prd&(((?[X]: ~p1(X))|(![Y]: ~q1(Y)))|((![Y]: p1(Y))|(?[Z]: r1(Z))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f423])).
% 1.22/0.69 fof(f425,plain,(
% 1.22/0.69 (~sP40_prd|(sP41_prd|(((![X]: p1(X))&q1(sK114_skl))&(~p1(sK115_skl)&(![Z]: ~r1(Z))))))&(sP40_prd|(~sP41_prd&((~p1(sK116_skl)|(![Y]: ~q1(Y)))|((![Y]: p1(Y))|r1(sK117_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK114_skl,sK115_skl,sK116_skl,sK117_skl]),skolemize(Y,sK114_skl),skolemize(Y,sK115_skl),skolemize(X,sK116_skl),skolemize(Z,sK117_skl)],[f424])).
% 1.22/0.69 fof(f426,plain,(
% 1.22/0.69 ![X0]: (~sP40_prd|sP41_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f425])).
% 1.22/0.69 fof(f428,plain,(
% 1.22/0.69 ~sP40_prd|sP41_prd|~p1(sK115_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f425])).
% 1.22/0.69 fof(f432,definition,(
% 1.22/0.69 sP42_prd<=>((((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 1.22/0.69 fof(f433,plain,(
% 1.22/0.69 sP41_prd<=>(sP42_prd|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f421,f432])).
% 1.22/0.69 fof(f434,plain,(
% 1.22/0.69 (~sP41_prd|(sP42_prd|((![X]: p1(X))&(?[A,B]: (~p1(A)|~p1(B))))))&(sP41_prd|(~sP42_prd&((?[X]: ~p1(X))|(![A,B]: (p1(A)&p1(B))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f433])).
% 1.22/0.69 fof(f435,plain,(
% 1.22/0.69 (~sP41_prd|(sP42_prd|((![X]: p1(X))&((?[A]: ~p1(A))|(?[B]: ~p1(B))))))&(sP41_prd|(~sP42_prd&((?[X]: ~p1(X))|((![A]: p1(A))&(![B]: p1(B))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f434])).
% 1.22/0.69 fof(f436,plain,(
% 1.22/0.69 (~sP41_prd|(sP42_prd|((![X]: p1(X))&(~p1(sK118_skl)|~p1(sK119_skl)))))&(sP41_prd|(~sP42_prd&(~p1(sK120_skl)|((![A]: p1(A))&(![B]: p1(B))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK118_skl,sK119_skl,sK120_skl]),skolemize(A,sK118_skl),skolemize(B,sK119_skl),skolemize(X,sK120_skl)],[f435])).
% 1.22/0.69 fof(f437,plain,(
% 1.22/0.69 ![X0]: (~sP41_prd|sP42_prd|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f436])).
% 1.22/0.69 fof(f438,plain,(
% 1.22/0.69 ~sP41_prd|sP42_prd|~p1(sK118_skl)|~p1(sK119_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f436])).
% 1.22/0.69 fof(f442,definition,(
% 1.22/0.69 sP43_prd<=>(((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 1.22/0.69 fof(f443,plain,(
% 1.22/0.69 sP42_prd<=>(sP43_prd|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: (~s1(X)|p1(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f432,f442])).
% 1.22/0.69 fof(f444,definition,(
% 1.22/0.69 ![X]: (sP44_prd(X)<=>(~s1(X)|p1(X)))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 1.22/0.69 fof(f445,plain,(
% 1.22/0.69 sP42_prd<=>(sP43_prd|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: sP44_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f443,f444])).
% 1.22/0.69 fof(f446,plain,(
% 1.22/0.69 (~sP42_prd|(sP43_prd|(?[A,B,C]: (((((s1(A)&s1(B))&r(B,C))&(![X]: sP44_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p1(X)|~q(X,Y)))))))&(sP42_prd|(~sP43_prd&(![A,B,C]: (((((~s1(A)|~s1(B))|~r(B,C))|(?[X]: ~sP44_prd(X)))|(?[X,Y]: (r(X,Y)&~q(X,Y))))|(?[X,Y]: (p1(X)&q(X,Y)))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f445])).
% 1.22/0.69 fof(f447,plain,(
% 1.22/0.69 (~sP42_prd|(sP43_prd|((((?[B]: (((?[A]: s1(A))&s1(B))&(?[C]: r(B,C))))&(![X]: sP44_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X]: (~p1(X)|(![Y]: ~q(X,Y)))))))&(sP42_prd|(~sP43_prd&((((![B]: (((![A]: ~s1(A))|~s1(B))|(![C]: ~r(B,C))))|(?[X]: ~sP44_prd(X)))|(?[X,Y]: (r(X,Y)&~q(X,Y))))|(?[X]: (p1(X)&(?[Y]: q(X,Y)))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f446])).
% 1.22/0.69 fof(f448,plain,(
% 1.22/0.69 (~sP42_prd|(sP43_prd|(((((s1(sK122_skl)&s1(sK121_skl))&r(sK121_skl,sK123_skl))&(![X]: sP44_prd(X)))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X]: (~p1(X)|(![Y]: ~q(X,Y)))))))&(sP42_prd|(~sP43_prd&((((![B]: (((![A]: ~s1(A))|~s1(B))|(![C]: ~r(B,C))))|~sP44_prd(sK124_skl))|(r(sK125_skl,sK126_skl)&~q(sK125_skl,sK126_skl)))|(p1(sK127_skl)&q(sK127_skl,sK128_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK121_skl,sK122_skl,sK123_skl,sK124_skl,sK125_skl,sK126_skl,sK127_skl,sK128_skl]),skolemize(B,sK121_skl),skolemize(A,sK122_skl),skolemize(C,sK123_skl),skolemize(X,sK124_skl),skolemize(X,sK125_skl),skolemize(Y,sK126_skl),skolemize(X,sK127_skl),skolemize(Y,sK128_skl)],[f447])).
% 1.22/0.69 fof(f450,plain,(
% 1.22/0.69 ~sP42_prd|sP43_prd|s1(sK121_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f448])).
% 1.22/0.69 fof(f451,plain,(
% 1.22/0.69 ~sP42_prd|sP43_prd|r(sK121_skl,sK123_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f448])).
% 1.22/0.69 fof(f452,plain,(
% 1.22/0.69 ![X0]: (~sP42_prd|sP43_prd|sP44_prd(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f448])).
% 1.22/0.69 fof(f453,plain,(
% 1.22/0.69 ![X0,X1]: (~sP42_prd|sP43_prd|~r(X0,X1)|q(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f448])).
% 1.22/0.69 fof(f454,plain,(
% 1.22/0.69 ![X0,X1]: (~sP42_prd|sP43_prd|~p1(X0)|~q(X0,X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f448])).
% 1.22/0.69 fof(f460,definition,(
% 1.22/0.69 sP45_prd<=>((((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 1.22/0.69 fof(f461,plain,(
% 1.22/0.69 sP43_prd<=>(sP45_prd|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&(~e(X)|(g(X)|s(X,f(X)))))&(~e(X2)|(g(X2)|c(f(X2)))))&(~s(A,Y)|p1(Y)))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f442,f460])).
% 1.22/0.69 fof(f462,definition,(
% 1.22/0.69 ![X]: (sP46_prd(X)<=>(~e(X)|(g(X)|s(X,f(X)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 1.22/0.69 fof(f463,definition,(
% 1.22/0.69 ![X2]: (sP47_prd(X2)<=>(~e(X2)|(g(X2)|c(f(X2)))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 1.22/0.69 fof(f464,definition,(
% 1.22/0.69 ![A,Y]: (sP48_prd(Y,A)<=>(~s(A,Y)|p1(Y)))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 1.22/0.69 fof(f465,plain,(
% 1.22/0.69 sP43_prd<=>(sP45_prd|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&sP46_prd(X))&sP47_prd(X2))&sP48_prd(Y,A))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f461,f464,f463,f462])).
% 1.22/0.69 fof(f466,plain,(
% 1.22/0.69 (~sP43_prd|(sP45_prd|(?[A]: ![X,X2,X3,X4,Y]: (((((p1(A)&e(A))&sP46_prd(X))&sP47_prd(X2))&sP48_prd(Y,A))&((~p1(X3)|~g(X3))&(~p1(X4)|~c(X4)))))))&(sP43_prd|(~sP45_prd&(![A]: ?[X,X2,X3,X4,Y]: (((((~p1(A)|~e(A))|~sP46_prd(X))|~sP47_prd(X2))|~sP48_prd(Y,A))|((p1(X3)&g(X3))|(p1(X4)&c(X4)))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f465])).
% 1.22/0.69 fof(f467,plain,(
% 1.22/0.69 (~sP43_prd|(sP45_prd|((?[A]: ((((p1(A)&e(A))&(![X]: sP46_prd(X)))&(![X2]: sP47_prd(X2)))&(![Y]: sP48_prd(Y,A))))&((![X3]: (~p1(X3)|~g(X3)))&(![X4]: (~p1(X4)|~c(X4)))))))&(sP43_prd|(~sP45_prd&((![A]: ((((~p1(A)|~e(A))|(?[X]: ~sP46_prd(X)))|(?[X2]: ~sP47_prd(X2)))|(?[Y]: ~sP48_prd(Y,A))))|((?[X3]: (p1(X3)&g(X3)))|(?[X4]: (p1(X4)&c(X4)))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f466])).
% 1.22/0.69 fof(f468,plain,(
% 1.22/0.69 (~sP43_prd|(sP45_prd|(((((p1(sK129_skl)&e(sK129_skl))&(![X]: sP46_prd(X)))&(![X2]: sP47_prd(X2)))&(![Y]: sP48_prd(Y,sK129_skl)))&((![X3]: (~p1(X3)|~g(X3)))&(![X4]: (~p1(X4)|~c(X4)))))))&(sP43_prd|(~sP45_prd&((![A]: ((((~p1(A)|~e(A))|~sP46_prd(sK130_skl(A)))|~sP47_prd(sK131_skl(A)))|~sP48_prd(sK132_skl(A),A)))|((p1(sK133_skl)&g(sK133_skl))|(p1(sK134_skl)&c(sK134_skl))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK129_skl,sK130_skl,sK131_skl,sK132_skl,sK133_skl,sK134_skl]),skolemize(A,sK129_skl),skolemize(X,sK130_skl(A)),skolemize(X2,sK131_skl(A)),skolemize(Y,sK132_skl(A)),skolemize(X3,sK133_skl),skolemize(X4,sK134_skl)],[f467])).
% 1.22/0.69 fof(f469,plain,(
% 1.22/0.69 ~sP43_prd|sP45_prd|p1(sK129_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f470,plain,(
% 1.22/0.69 ~sP43_prd|sP45_prd|e(sK129_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f471,plain,(
% 1.22/0.69 ![X0]: (~sP43_prd|sP45_prd|sP46_prd(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f472,plain,(
% 1.22/0.69 ![X0]: (~sP43_prd|sP45_prd|sP47_prd(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f473,plain,(
% 1.22/0.69 ![X0]: (~sP43_prd|sP45_prd|sP48_prd(X0,sK129_skl))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f474,plain,(
% 1.22/0.69 ![X0]: (~sP43_prd|sP45_prd|~p1(X0)|~g(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f475,plain,(
% 1.22/0.69 ![X0]: (~sP43_prd|sP45_prd|~p1(X0)|~c(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f468])).
% 1.22/0.69 fof(f481,plain,(
% 1.22/0.69 ![X]: ((~sP44_prd(X)|(~s1(X)|p1(X)))&(sP44_prd(X)|(s1(X)&~p1(X))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f444])).
% 1.22/0.69 fof(f482,plain,(
% 1.22/0.69 (![X]: (~sP44_prd(X)|(~s1(X)|p1(X))))&(![X]: (sP44_prd(X)|(s1(X)&~p1(X))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f481])).
% 1.22/0.69 fof(f483,plain,(
% 1.22/0.69 ![X0]: (~sP44_prd(X0)|~s1(X0)|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f482])).
% 1.22/0.69 fof(f486,definition,(
% 1.22/0.69 sP49_prd<=>(((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 1.22/0.69 fof(f487,plain,(
% 1.22/0.69 sP45_prd<=>(sP49_prd|(((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))&(![X]: (~a1(X)|~c(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f460,f486])).
% 1.22/0.69 fof(f488,definition,(
% 1.22/0.69 sP50_prd<=>((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 1.22/0.69 fof(f489,plain,(
% 1.22/0.69 sP45_prd<=>(sP49_prd|(sP50_prd&(![X]: (~a1(X)|~c(X)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f487,f488])).
% 1.22/0.69 fof(f490,plain,(
% 1.22/0.69 (~sP45_prd|(sP49_prd|(sP50_prd&(![X]: (~a1(X)|~c(X))))))&(sP45_prd|(~sP49_prd&(~sP50_prd|(?[X]: (a1(X)&c(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f489])).
% 1.22/0.69 fof(f491,plain,(
% 1.22/0.69 (~sP45_prd|(sP49_prd|(sP50_prd&(![X]: (~a1(X)|~c(X))))))&(sP45_prd|(~sP49_prd&(~sP50_prd|(a1(sK135_skl)&c(sK135_skl)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK135_skl]),skolemize(X,sK135_skl)],[f490])).
% 1.22/0.69 fof(f492,plain,(
% 1.22/0.69 ~sP45_prd|sP49_prd|sP50_prd),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f491])).
% 1.22/0.69 fof(f493,plain,(
% 1.22/0.69 ![X0]: (~sP45_prd|sP49_prd|~a1(X0)|~c(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f491])).
% 1.22/0.69 fof(f497,plain,(
% 1.22/0.69 ![X]: ((~sP46_prd(X)|(~e(X)|(g(X)|s(X,f(X)))))&(sP46_prd(X)|(e(X)&(~g(X)&~s(X,f(X))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f462])).
% 1.22/0.69 fof(f498,plain,(
% 1.22/0.69 (![X]: (~sP46_prd(X)|(~e(X)|(g(X)|s(X,f(X))))))&(![X]: (sP46_prd(X)|(e(X)&(~g(X)&~s(X,f(X))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f497])).
% 1.22/0.69 fof(f499,plain,(
% 1.22/0.69 ![X0]: (~sP46_prd(X0)|~e(X0)|g(X0)|s(X0,f(X0)))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f498])).
% 1.22/0.69 fof(f503,plain,(
% 1.22/0.69 ![X2]: ((~sP47_prd(X2)|(~e(X2)|(g(X2)|c(f(X2)))))&(sP47_prd(X2)|(e(X2)&(~g(X2)&~c(f(X2))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f463])).
% 1.22/0.69 fof(f504,plain,(
% 1.22/0.69 (![X2]: (~sP47_prd(X2)|(~e(X2)|(g(X2)|c(f(X2))))))&(![X2]: (sP47_prd(X2)|(e(X2)&(~g(X2)&~c(f(X2))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f503])).
% 1.22/0.69 fof(f505,plain,(
% 1.22/0.69 ![X0]: (~sP47_prd(X0)|~e(X0)|g(X0)|c(f(X0)))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f504])).
% 1.22/0.69 fof(f509,plain,(
% 1.22/0.69 ![A,Y]: ((~sP48_prd(Y,A)|(~s(A,Y)|p1(Y)))&(sP48_prd(Y,A)|(s(A,Y)&~p1(Y))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f464])).
% 1.22/0.69 fof(f510,plain,(
% 1.22/0.69 (![A,Y]: (~sP48_prd(Y,A)|(~s(A,Y)|p1(Y))))&(![A,Y]: (sP48_prd(Y,A)|(s(A,Y)&~p1(Y))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f509])).
% 1.22/0.69 fof(f511,plain,(
% 1.22/0.69 ![X0,X1]: (~sP48_prd(X0,X1)|~s(X1,X0)|p1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f510])).
% 1.22/0.69 fof(f514,definition,(
% 1.22/0.69 sP51_prd<=>((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: (((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 1.22/0.69 fof(f515,plain,(
% 1.22/0.69 sP49_prd<=>(sP51_prd|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f486,f514])).
% 1.22/0.69 fof(f516,plain,(
% 1.22/0.69 (~sP49_prd|(sP51_prd|(?[B,C]: (q1(f(B))&(![X,Y]: ((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X)))))))&(sP49_prd|(~sP51_prd&(![B,C]: (~q1(f(B))|(?[X,Y]: ((~p1(f(Y))|(p1(X)&(~r1(Y)|(r1(B)&r1(C)))))&q1(X)))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f515])).
% 1.22/0.69 fof(f517,plain,(
% 1.22/0.69 (~sP49_prd|(sP51_prd|(?[B]: (q1(f(B))&(?[C]: ![X]: (((![Y]: p1(f(Y)))&(~p1(X)|((![Y]: r1(Y))&(~r1(B)|~r1(C)))))|~q1(X)))))))&(sP49_prd|(~sP51_prd&(![B]: (~q1(f(B))|(![C]: ?[X]: (((?[Y]: ~p1(f(Y)))|(p1(X)&((?[Y]: ~r1(Y))|(r1(B)&r1(C)))))&q1(X)))))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f516])).
% 1.22/0.69 fof(f518,plain,(
% 1.22/0.69 (~sP49_prd|(sP51_prd|(q1(f(sK136_skl))&![X]: (((![Y]: p1(f(Y)))&(~p1(X)|((![Y]: r1(Y))&(~r1(sK136_skl)|~r1(sK137_skl)))))|~q1(X)))))&(sP49_prd|(~sP51_prd&(![B]: (~q1(f(B))|(![C]: ((~p1(f(sK139_skl(C,B)))|(p1(sK138_skl(C,B))&(~r1(sK140_skl(C,B))|(r1(B)&r1(C)))))&q1(sK138_skl(C,B))))))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK136_skl,sK137_skl,sK138_skl,sK139_skl,sK140_skl]),skolemize(B,sK136_skl),skolemize(C,sK137_skl),skolemize(X,sK138_skl(C,B)),skolemize(Y,sK139_skl(C,B)),skolemize(Y,sK140_skl(C,B))],[f517])).
% 1.22/0.69 fof(f519,plain,(
% 1.22/0.69 ~sP49_prd|sP51_prd|q1(f(sK136_skl))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f518])).
% 1.22/0.69 fof(f520,plain,(
% 1.22/0.69 ![X0,X1]: (~sP49_prd|sP51_prd|p1(f(X0))|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f518])).
% 1.22/0.69 fof(f521,plain,(
% 1.22/0.69 ![X0,X1]: (~sP49_prd|sP51_prd|~p1(X0)|r1(X1)|~q1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f518])).
% 1.22/0.69 fof(f522,plain,(
% 1.22/0.69 ![X0]: (~sP49_prd|sP51_prd|~p1(X0)|~r1(sK136_skl)|~r1(sK137_skl)|~q1(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f518])).
% 1.22/0.69 fof(f528,plain,(
% 1.22/0.69 (~sP50_prd|((![X]: (~a1(X)|(b(X)|c(X))))&(?[X]: (a1(X)&~b(X)))))&(sP50_prd|((?[X]: (a1(X)&(~b(X)&~c(X))))|(![X]: (~a1(X)|b(X)))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f488])).
% 1.22/0.69 fof(f529,plain,(
% 1.22/0.69 (~sP50_prd|((![X]: (~a1(X)|(b(X)|c(X))))&(a1(sK141_skl)&~b(sK141_skl))))&(sP50_prd|((a1(sK142_skl)&(~b(sK142_skl)&~c(sK142_skl)))|(![X]: (~a1(X)|b(X)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK141_skl,sK142_skl]),skolemize(X,sK141_skl),skolemize(X,sK142_skl)],[f528])).
% 1.22/0.69 fof(f530,plain,(
% 1.22/0.69 ![X0]: (~sP50_prd|~a1(X0)|b(X0)|c(X0))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f529])).
% 1.22/0.69 fof(f531,plain,(
% 1.22/0.69 ~sP50_prd|a1(sK141_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f529])).
% 1.22/0.69 fof(f532,plain,(
% 1.22/0.69 ~sP50_prd|~b(sK141_skl)),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f529])).
% 1.22/0.69 fof(f536,definition,(
% 1.22/0.69 ![C,B,X,Y]: (sP52_prd(Y,X,B,C)<=>(((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 1.22/0.69 fof(f537,definition,(
% 1.22/0.69 ![B,C,X,Y]: (sP53_prd(Y,X,C,B)<=>((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X)))),
% 1.22/0.69 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 1.22/0.69 fof(f538,plain,(
% 1.22/0.69 sP51_prd<=>((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: sP52_prd(Y,X,B,C))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: sP53_prd(Y,X,C,B)))))),
% 1.22/0.69 inference(formula_renaming,[status(thm)],[f514,f537,f536])).
% 1.22/0.69 fof(f539,plain,(
% 1.22/0.69 (~sP51_prd|((?[C,B]: ((![Z]: q1(f(Z)))&(![X,Y]: sP52_prd(Y,X,B,C))))|(?[B,C]: ((![Z]: q1(f(Z)))&(![X,Y]: sP53_prd(Y,X,C,B))))))&(sP51_prd|((![C,B]: ((?[Z]: ~q1(f(Z)))|(?[X,Y]: ~sP52_prd(Y,X,B,C))))&(![B,C]: ((?[Z]: ~q1(f(Z)))|(?[X,Y]: ~sP53_prd(Y,X,C,B))))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f538])).
% 1.22/0.69 fof(f540,plain,(
% 1.22/0.69 (~sP51_prd|(((![Z]: q1(f(Z)))&(?[C,B]: ![X,Y]: sP52_prd(Y,X,B,C)))|((![Z]: q1(f(Z)))&(?[B,C]: ![X,Y]: sP53_prd(Y,X,C,B)))))&(sP51_prd|(((?[Z]: ~q1(f(Z)))|(![C,B]: ?[X,Y]: ~sP52_prd(Y,X,B,C)))&((?[Z]: ~q1(f(Z)))|(![B,C]: ?[X,Y]: ~sP53_prd(Y,X,C,B)))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f539])).
% 1.22/0.69 fof(f541,plain,(
% 1.22/0.69 (~sP51_prd|(((![Z]: q1(f(Z)))&![X,Y]: sP52_prd(Y,X,sK144_skl,sK143_skl))|((![Z]: q1(f(Z)))&![X,Y]: sP53_prd(Y,X,sK146_skl,sK145_skl))))&(sP51_prd|((~q1(f(sK147_skl))|(![C,B]: ~sP52_prd(sK149_skl(B,C),sK148_skl(B,C),B,C)))&(~q1(f(sK150_skl))|(![B,C]: ~sP53_prd(sK152_skl(C,B),sK151_skl(C,B),C,B)))))),
% 1.22/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK143_skl,sK144_skl,sK145_skl,sK146_skl,sK147_skl,sK148_skl,sK149_skl,sK150_skl,sK151_skl,sK152_skl]),skolemize(C,sK143_skl),skolemize(B,sK144_skl),skolemize(B,sK145_skl),skolemize(C,sK146_skl),skolemize(Z,sK147_skl),skolemize(X,sK148_skl(B,C)),skolemize(Y,sK149_skl(B,C)),skolemize(Z,sK150_skl),skolemize(X,sK151_skl(C,B)),skolemize(Y,sK152_skl(C,B))],[f540])).
% 1.22/0.69 fof(f542,plain,(
% 1.22/0.69 ![X0,X1]: (~sP51_prd|q1(f(X0))|q1(f(X1)))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f541])).
% 1.22/0.69 fof(f545,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP51_prd|sP52_prd(X0,X1,sK144_skl,sK143_skl)|sP53_prd(X2,X3,sK146_skl,sK145_skl))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f541])).
% 1.22/0.69 fof(f548,plain,(
% 1.22/0.69 ![C,B,X,Y]: ((~sP52_prd(Y,X,B,C)|(((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X)))&(sP52_prd(Y,X,B,C)|(((~p1(f(Y))|p1(X))&(~r1(Y)|(r1(B)&r1(C))))&q1(X))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f536])).
% 1.22/0.69 fof(f549,plain,(
% 1.22/0.69 (![C,B,X,Y]: (~sP52_prd(Y,X,B,C)|(((p1(f(Y))&~p1(X))|(r1(Y)&(~r1(B)|~r1(C))))|~q1(X))))&(![C,B,X,Y]: (sP52_prd(Y,X,B,C)|(((~p1(f(Y))|p1(X))&(~r1(Y)|(r1(B)&r1(C))))&q1(X))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f548])).
% 1.22/0.69 fof(f550,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP52_prd(X0,X1,X2,X3)|p1(f(X0))|r1(X0)|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f549])).
% 1.22/0.69 fof(f551,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP52_prd(X0,X1,X2,X3)|p1(f(X0))|~r1(X2)|~r1(X3)|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f549])).
% 1.22/0.69 fof(f552,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP52_prd(X0,X1,X2,X3)|~p1(X1)|r1(X0)|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f549])).
% 1.22/0.69 fof(f553,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP52_prd(X0,X1,X2,X3)|~p1(X1)|~r1(X2)|~r1(X3)|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f549])).
% 1.22/0.69 fof(f558,plain,(
% 1.22/0.69 ![B,C,X,Y]: ((~sP53_prd(Y,X,C,B)|((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X)))&(sP53_prd(Y,X,C,B)|((~p1(f(Y))|(p1(X)&(~r1(Y)|(r1(B)&r1(C)))))&q1(X))))),
% 1.22/0.69 inference(NNF_transformation,[status(thm)],[f537])).
% 1.22/0.69 fof(f559,plain,(
% 1.22/0.69 (![B,C,X,Y]: (~sP53_prd(Y,X,C,B)|((p1(f(Y))&(~p1(X)|(r1(Y)&(~r1(B)|~r1(C)))))|~q1(X))))&(![B,C,X,Y]: (sP53_prd(Y,X,C,B)|((~p1(f(Y))|(p1(X)&(~r1(Y)|(r1(B)&r1(C)))))&q1(X))))),
% 1.22/0.69 inference(miniscoping,[status(thm)],[f558])).
% 1.22/0.69 fof(f560,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP53_prd(X0,X1,X2,X3)|p1(f(X0))|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f559])).
% 1.22/0.69 fof(f561,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP53_prd(X0,X1,X2,X3)|~p1(X1)|r1(X0)|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f559])).
% 1.22/0.69 fof(f562,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (~sP53_prd(X0,X1,X2,X3)|~p1(X1)|~r1(X3)|~r1(X2)|~q1(X1))),
% 1.22/0.69 inference(cnf_transformation,[status(thm)],[f559])).
% 1.22/0.69 fof(f567,plain,(
% 1.22/0.69 ![X0]: (sP0_prd|q1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f8,f10])).
% 1.22/0.69 fof(f568,plain,(
% 1.22/0.69 sP0_prd|~q1(sK0_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f9,f11])).
% 1.22/0.69 fof(f569,plain,(
% 1.22/0.69 ![X0]: (sP1_prd|~r1(X0)|p(f(X0),X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f17,f11])).
% 1.22/0.69 fof(f573,plain,(
% 1.22/0.69 ![X0,X1]: (~sP1_prd|sP2_prd|p(X0,X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f33,f34])).
% 1.22/0.69 fof(f575,plain,(
% 1.22/0.69 ~sP2_prd|sP4_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f43,f576])).
% 1.22/0.69 fof(f576,plain,(
% 1.22/0.69 ~sP2_prd|sP4_prd|~b0),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f45,f42])).
% 1.22/0.69 fof(f583,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1)|q(f(sK2_skl),sK2_skl))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f18,f586])).
% 1.22/0.69 fof(f584,plain,(
% 1.22/0.69 ![X0]: (sP1_prd|r1(sK2_skl)|p(f(X0),X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f16,f586])).
% 1.22/0.69 fof(f585,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1)|~q(X0,X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f19,f586])).
% 1.22/0.69 fof(f586,plain,(
% 1.22/0.69 sP0_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f568,f567])).
% 1.22/0.69 fof(f588,plain,(
% 1.22/0.69 ~sP4_prd|sP6_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f65,f589])).
% 1.22/0.69 fof(f589,plain,(
% 1.22/0.69 ~sP4_prd|sP6_prd|b0),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f62,f64])).
% 1.22/0.69 fof(f590,plain,(
% 1.22/0.69 ~sP6_prd|sP7_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f84,f83])).
% 1.22/0.69 fof(f591,plain,(
% 1.22/0.69 ~sP33_prd|sP34_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f346,f345])).
% 1.22/0.69 fof(f592,plain,(
% 1.22/0.69 ~sP7_prd|sP8_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f93,f92])).
% 1.22/0.69 fof(f593,plain,(
% 1.22/0.69 ~sP8_prd|sP9_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f100,f101])).
% 1.22/0.69 fof(f594,plain,(
% 1.22/0.69 ~sP9_prd|sP10_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f108,f107])).
% 1.22/0.69 fof(f595,plain,(
% 1.22/0.69 ~sP11_prd|sP12_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f124,f125])).
% 1.22/0.69 fof(f598,plain,(
% 1.22/0.69 ~sP14_prd|sP16_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f157,f156])).
% 1.22/0.69 fof(f599,plain,(
% 1.22/0.69 ~sP20_prd|sP22_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f218,f219])).
% 1.22/0.69 fof(f600,plain,(
% 1.22/0.69 ~sP26_prd|sP27_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f270,f272])).
% 1.22/0.69 fof(f602,plain,(
% 1.22/0.69 ~sP39_prd|sP40_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f417,f415])).
% 1.22/0.69 fof(f603,plain,(
% 1.22/0.69 ~sP40_prd|sP41_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f428,f426])).
% 1.22/0.69 fof(f612,plain,(
% 1.22/0.69 ~sP1_prd|sP2_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f35,f573])).
% 1.22/0.69 fof(f613,plain,(
% 1.22/0.69 ![X0]: (~sP16_prd|sP17_prd|p1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f173,f172])).
% 1.22/0.69 fof(f617,plain,(
% 1.22/0.69 ~sP16_prd|sP17_prd|~p1(sK36_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f176,f613])).
% 1.22/0.69 fof(f620,plain,(
% 1.22/0.69 ![X0]: (~sP17_prd|sP18_prd|~sP17_prd|sP18_prd|sP19_prd(X0,sK41_skl,sK40_skl))),
% 1.22/0.69 inference(resolution,[status(thm)],[f191,f189])).
% 1.22/0.69 fof(f621,plain,(
% 1.22/0.69 ![X0]: (~sP17_prd|sP18_prd|sP19_prd(X0,sK41_skl,sK40_skl))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f620])).
% 1.22/0.69 fof(f623,plain,(
% 1.22/0.69 ~sP27_prd|sP28_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f279,f624])).
% 1.22/0.69 fof(f624,plain,(
% 1.22/0.69 ![X0]: (~sP27_prd|sP28_prd|~a1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f281,f280])).
% 1.22/0.69 fof(f625,plain,(
% 1.22/0.69 ~sP30_prd|sP31_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f311,f626])).
% 1.22/0.69 fof(f626,plain,(
% 1.22/0.69 ![X0]: (~sP30_prd|sP31_prd|~a1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f310,f312])).
% 1.22/0.69 fof(f627,plain,(
% 1.22/0.69 ![X0]: (~sP31_prd|sP32_prd|p1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f322,f321])).
% 1.22/0.69 fof(f628,plain,(
% 1.22/0.69 ~sP32_prd|sP33_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f337,f629])).
% 1.22/0.69 fof(f629,plain,(
% 1.22/0.69 ![X0]: (~sP32_prd|sP33_prd|q1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f335,f336])).
% 1.22/0.69 fof(f630,plain,(
% 1.22/0.69 ![X0]: (~sP35_prd|sP36_prd|p1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f369,f368])).
% 1.22/0.69 fof(f635,plain,(
% 1.22/0.69 ![X0,X1]: (a_member_of(sK39_skl(X0,X1),X1)|a_member_of(sK39_skl(X0,X1),X0)|~sP17_prd|sP18_prd|eq(X1,X0))),
% 1.22/0.69 inference(resolution,[status(thm)],[f213,f190])).
% 1.22/0.69 fof(f637,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|~b0)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f356,f355])).
% 1.22/0.69 fof(f638,plain,(
% 1.22/0.69 ~sP23_prd|sP24_prd|~p1(sK56_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f242,f241])).
% 1.22/0.69 fof(f641,plain,(
% 1.22/0.69 ~sP24_prd|sP25_prd|~p1(sK59_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f252,f251])).
% 1.22/0.69 fof(f644,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|q0)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f357,f637])).
% 1.22/0.69 fof(f645,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f644,f646])).
% 1.22/0.69 fof(f646,plain,(
% 1.22/0.69 ![X0]: (~sP34_prd|sP35_prd|~p1(X0)|~q0)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f358,f637])).
% 1.22/0.69 fof(f647,plain,(
% 1.22/0.69 ~sP34_prd|sP35_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f353,f645])).
% 1.22/0.69 fof(f651,plain,(
% 1.22/0.69 ~sP29_prd|sP30_prd|b(sK78_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f300,f301])).
% 1.22/0.69 fof(f652,plain,(
% 1.22/0.69 ~sP29_prd|b(sK78_skl)|sP31_prd),
% 1.22/0.69 inference(resolution,[status(thm)],[f651,f625])).
% 1.22/0.69 fof(f657,plain,(
% 1.22/0.69 ~sP31_prd|sP32_prd|~p1(sK85_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f325,f627])).
% 1.22/0.69 fof(f658,plain,(
% 1.22/0.69 ~sP35_prd|sP36_prd|~p1(sK96_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f372,f630])).
% 1.22/0.69 fof(f664,plain,(
% 1.22/0.69 ~sP37_prd|sP39_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f401,f402])).
% 1.22/0.69 fof(f665,plain,(
% 1.22/0.69 ~sP41_prd|sP42_prd|~p1(sK119_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f438,f437])).
% 1.22/0.69 fof(f681,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1)|sP1_prd|~p(f(sK2_skl),sK2_skl))),
% 1.22/0.69 inference(resolution,[status(thm)],[f583,f585])).
% 1.22/0.69 fof(f682,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1)|~p(f(sK2_skl),sK2_skl))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f681])).
% 1.22/0.69 fof(f683,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1)|sP1_prd|r1(sK2_skl))),
% 1.22/0.69 inference(resolution,[status(thm)],[f682,f584])).
% 1.22/0.69 fof(f684,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1)|r1(sK2_skl))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f683])).
% 1.22/0.69 fof(f685,plain,(
% 1.22/0.69 sP1_prd|r1(sK2_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f584,f684])).
% 1.22/0.69 fof(f695,plain,(
% 1.22/0.69 sP1_prd|sP1_prd|p(f(sK2_skl),sK2_skl)),
% 1.22/0.69 inference(resolution,[status(thm)],[f685,f569])).
% 1.22/0.69 fof(f696,plain,(
% 1.22/0.69 sP1_prd|p(f(sK2_skl),sK2_skl)),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f695])).
% 1.22/0.69 fof(f698,plain,(
% 1.22/0.69 ![X0,X1]: (sP1_prd|~p(X0,X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f682,f696])).
% 1.22/0.69 fof(f701,plain,(
% 1.22/0.69 sP1_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f696,f698])).
% 1.22/0.69 fof(f704,plain,(
% 1.22/0.69 sP2_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f612,f701])).
% 1.22/0.69 fof(f707,plain,(
% 1.22/0.69 sP4_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f575,f704])).
% 1.22/0.69 fof(f709,plain,(
% 1.22/0.69 sP6_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f588,f707])).
% 1.22/0.69 fof(f710,plain,(
% 1.22/0.69 sP7_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f590,f709])).
% 1.22/0.69 fof(f711,plain,(
% 1.22/0.69 sP8_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f592,f710])).
% 1.22/0.69 fof(f712,plain,(
% 1.22/0.69 sP9_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f593,f711])).
% 1.22/0.69 fof(f713,plain,(
% 1.22/0.69 sP10_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f594,f712])).
% 1.22/0.69 fof(f714,plain,(
% 1.22/0.69 ![X0]: (sP11_prd|~p(X0,sK21_skl))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f116,f713])).
% 1.22/0.69 fof(f715,plain,(
% 1.22/0.69 ![X0]: (sP11_prd|p(sK20_skl,X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f115,f713])).
% 1.22/0.69 fof(f717,plain,(
% 1.22/0.69 sP11_prd|sP11_prd),
% 1.22/0.69 inference(resolution,[status(thm)],[f715,f714])).
% 1.22/0.69 fof(f718,plain,(
% 1.22/0.69 sP11_prd),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f717])).
% 1.22/0.69 fof(f719,plain,(
% 1.22/0.69 sP12_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f595,f718])).
% 1.22/0.69 fof(f720,plain,(
% 1.22/0.69 sP13_prd|~r1(sK27_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f135,f719])).
% 1.22/0.69 fof(f722,plain,(
% 1.22/0.69 ![X0,X1]: (sP13_prd|~p1(X0)|r1(X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f133,f719])).
% 1.22/0.69 fof(f723,plain,(
% 1.22/0.69 sP13_prd|p1(sK26_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f134,f719])).
% 1.22/0.69 fof(f736,plain,(
% 1.22/0.69 ![X0]: (sP13_prd|r1(X0)|sP13_prd)),
% 1.22/0.69 inference(resolution,[status(thm)],[f722,f723])).
% 1.22/0.69 fof(f737,plain,(
% 1.22/0.69 ![X0]: (sP13_prd|r1(X0))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f736])).
% 1.22/0.69 fof(f738,plain,(
% 1.22/0.69 sP13_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f720,f737])).
% 1.22/0.69 fof(f747,plain,(
% 1.22/0.69 ![X0]: (sP14_prd|~r1(X0)|p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f146,f738])).
% 1.22/0.69 fof(f748,plain,(
% 1.22/0.69 sP14_prd|~q1(sK30_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f147,f738])).
% 1.22/0.69 fof(f749,plain,(
% 1.22/0.69 sP14_prd|sP15_prd(sK30_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f145,f738])).
% 1.22/0.69 fof(f750,plain,(
% 1.22/0.69 sP14_prd|r1(sK30_skl)),
% 1.22/0.69 inference(resolution,[status(thm)],[f749,f164])).
% 1.22/0.69 fof(f757,plain,(
% 1.22/0.69 ![X0]: (~sP49_prd|sP51_prd|~p1(X0)|~r1(sK137_skl)|~q1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f522,f521])).
% 1.22/0.69 fof(f758,plain,(
% 1.22/0.69 sP14_prd|p1(sK30_skl)|sP14_prd),
% 1.22/0.69 inference(resolution,[status(thm)],[f747,f750])).
% 1.22/0.69 fof(f759,plain,(
% 1.22/0.69 sP14_prd|p1(sK30_skl)),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f758])).
% 1.22/0.69 fof(f766,plain,(
% 1.22/0.69 ![X0]: (sP14_prd|~sP15_prd(X0)|q1(sK30_skl))),
% 1.22/0.69 inference(resolution,[status(thm)],[f759,f163])).
% 1.22/0.69 fof(f770,plain,(
% 1.22/0.69 ![X0]: (sP14_prd|~sP15_prd(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f766,f748])).
% 1.22/0.69 fof(f771,plain,(
% 1.22/0.69 sP14_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f749,f770])).
% 1.22/0.69 fof(f772,plain,(
% 1.22/0.69 sP16_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f598,f771])).
% 1.22/0.69 fof(f773,plain,(
% 1.22/0.69 sP17_prd|~p1(sK36_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f617,f772])).
% 1.22/0.69 fof(f775,plain,(
% 1.22/0.69 ![X0]: (sP17_prd|p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f613,f772])).
% 1.22/0.69 fof(f828,plain,(
% 1.22/0.69 sP18_prd|~eq(sK41_skl,sK40_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f192,f833])).
% 1.22/0.69 fof(f830,plain,(
% 1.22/0.69 ![X0,X1]: (sP18_prd|eq(X0,X1)|~sP19_prd(sK39_skl(X1,X0),X1,X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f190,f833])).
% 1.22/0.69 fof(f832,plain,(
% 1.22/0.69 ![X0]: (sP18_prd|sP19_prd(X0,sK41_skl,sK40_skl))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f621,f833])).
% 1.22/0.69 fof(f833,plain,(
% 1.22/0.69 sP17_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f773,f775])).
% 1.22/0.69 fof(f839,plain,(
% 1.22/0.69 ![X0,X1]: (a_member_of(sK39_skl(X0,X1),X1)|a_member_of(sK39_skl(X0,X1),X0)|sP18_prd|eq(X1,X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f635,f833])).
% 1.22/0.69 fof(f843,plain,(
% 1.22/0.69 ![X0,X1,X2]: (a_member_of(sK39_skl(X0,X1),X0)|sP18_prd|eq(X1,X0)|~sP19_prd(sK39_skl(X0,X1),X1,X2)|a_member_of(sK39_skl(X0,X1),X2))),
% 1.22/0.69 inference(resolution,[status(thm)],[f839,f211])).
% 1.22/0.69 fof(f939,plain,(
% 1.22/0.69 ![X0]: (a_member_of(sK39_skl(X0,sK41_skl),X0)|sP18_prd|eq(sK41_skl,X0)|a_member_of(sK39_skl(X0,sK41_skl),sK40_skl)|sP18_prd)),
% 1.22/0.69 inference(resolution,[status(thm)],[f843,f832])).
% 1.22/0.69 fof(f942,plain,(
% 1.22/0.69 ![X0]: (a_member_of(sK39_skl(X0,sK41_skl),X0)|sP18_prd|eq(sK41_skl,X0)|a_member_of(sK39_skl(X0,sK41_skl),sK40_skl))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f939])).
% 1.22/0.69 fof(f979,plain,(
% 1.22/0.69 ![X0]: (sP18_prd|eq(sK41_skl,sK40_skl)|~sP19_prd(sK39_skl(sK40_skl,sK41_skl),X0,sK40_skl)|a_member_of(sK39_skl(sK40_skl,sK41_skl),X0))),
% 1.22/0.69 inference(resolution,[status(thm)],[f942,f210])).
% 1.22/0.69 fof(f986,plain,(
% 1.22/0.69 a_member_of(sK39_skl(sK40_skl,sK41_skl),sK40_skl)|sP18_prd|eq(sK41_skl,sK40_skl)),
% 1.22/0.69 inference(factoring,[status(thm)],[f942])).
% 1.22/0.69 fof(f994,plain,(
% 1.22/0.69 ![X0]: (sP18_prd|~sP19_prd(sK39_skl(sK40_skl,sK41_skl),X0,sK40_skl)|a_member_of(sK39_skl(sK40_skl,sK41_skl),X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f979,f828])).
% 1.22/0.69 fof(f997,plain,(
% 1.22/0.69 a_member_of(sK39_skl(sK40_skl,sK41_skl),sK40_skl)|sP18_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f986,f828])).
% 1.22/0.69 fof(f1015,plain,(
% 1.22/0.69 sP18_prd|a_member_of(sK39_skl(sK40_skl,sK41_skl),sK41_skl)|sP18_prd),
% 1.22/0.69 inference(resolution,[status(thm)],[f994,f832])).
% 1.22/0.69 fof(f1018,plain,(
% 1.22/0.69 sP18_prd|a_member_of(sK39_skl(sK40_skl,sK41_skl),sK41_skl)),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f1015])).
% 1.22/0.69 fof(f1023,plain,(
% 1.22/0.69 ![X0]: (sP18_prd|sP19_prd(sK39_skl(sK40_skl,sK41_skl),X0,sK41_skl)|~a_member_of(sK39_skl(sK40_skl,sK41_skl),X0))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1018,f212])).
% 1.22/0.69 fof(f1032,plain,(
% 1.22/0.69 sP18_prd|~a_member_of(sK39_skl(sK40_skl,sK41_skl),sK40_skl)|sP18_prd|eq(sK41_skl,sK40_skl)),
% 1.22/0.69 inference(resolution,[status(thm)],[f1023,f830])).
% 1.22/0.69 fof(f1035,plain,(
% 1.22/0.69 sP18_prd|~a_member_of(sK39_skl(sK40_skl,sK41_skl),sK40_skl)|eq(sK41_skl,sK40_skl)),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f1032])).
% 1.22/0.69 fof(f1036,plain,(
% 1.22/0.69 sP18_prd|eq(sK41_skl,sK40_skl)),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1035,f997])).
% 1.22/0.69 fof(f1037,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|sP21_prd(X0,sK45_skl(X1))|~p(X0,sK45_skl(X1)))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f204,f1040])).
% 1.22/0.69 fof(f1038,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|sP21_prd(X0,sK45_skl(X1))|p(X0,X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f203,f1040])).
% 1.22/0.69 fof(f1039,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|sP21_prd(X0,sK45_skl(X1))|p(X1,X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f202,f1040])).
% 1.22/0.69 fof(f1040,plain,(
% 1.22/0.69 sP18_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1036,f828])).
% 1.22/0.69 fof(f1041,plain,(
% 1.22/0.69 ![X0,X1,X2]: (sP20_prd|p(X0,X1)|~p(X2,X0))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1038,f226])).
% 1.22/0.69 fof(f1045,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|p(X0,X1)|p(X1,sK45_skl(X0)))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1039,f225])).
% 1.22/0.69 fof(f1056,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|sP21_prd(X0,sK45_skl(X1)))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f1037,f1057])).
% 1.22/0.69 fof(f1057,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|p(X0,sK45_skl(X1)))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1045,f1041])).
% 1.22/0.69 fof(f1064,plain,(
% 1.22/0.69 ![X0,X1]: (sP20_prd|~p(X0,X1))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1056,f226])).
% 1.22/0.69 fof(f1066,plain,(
% 1.22/0.69 sP20_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f1057,f1064])).
% 1.22/0.69 fof(f1068,plain,(
% 1.22/0.69 sP22_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f599,f1066])).
% 1.22/0.69 fof(f1069,plain,(
% 1.22/0.69 sP23_prd|p1(sK51_skl)|p1(sK52_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f232,f1068])).
% 1.22/0.69 fof(f1070,plain,(
% 1.22/0.69 ![X0,X1]: (sP23_prd|~p1(X0)|~p1(X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f233,f1068])).
% 1.22/0.69 fof(f1084,plain,(
% 1.22/0.69 ![X0]: (sP23_prd|~p1(X0)|sP23_prd|p1(sK51_skl))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1070,f1069])).
% 1.22/0.69 fof(f1087,plain,(
% 1.22/0.69 ![X0]: (sP23_prd|~p1(X0)|p1(sK51_skl))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f1084])).
% 1.22/0.69 fof(f1088,plain,(
% 1.22/0.69 ![X0]: (sP23_prd|~p1(X0))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1087,f1070])).
% 1.22/0.69 fof(f1090,plain,(
% 1.22/0.69 sP24_prd|~p1(sK56_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f638,f1088])).
% 1.22/0.69 fof(f1091,plain,(
% 1.22/0.69 sP23_prd|p1(sK52_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f1069,f1088])).
% 1.22/0.69 fof(f1094,plain,(
% 1.22/0.69 sP23_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1091,f1088])).
% 1.22/0.69 fof(f1095,plain,(
% 1.22/0.69 ![X0]: (sP24_prd|p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f241,f1094])).
% 1.22/0.69 fof(f1096,plain,(
% 1.22/0.69 ![X0]: (sP25_prd|p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f251,f1095])).
% 1.22/0.69 fof(f1166,plain,(
% 1.22/0.69 ~sP24_prd|sP25_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f641,f1096])).
% 1.22/0.69 fof(f1235,plain,(
% 1.22/0.69 sP24_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1090,f1095])).
% 1.22/0.69 fof(f1238,plain,(
% 1.22/0.69 sP26_prd|a(sK61_skl,sK62_skl)|a(sK64_skl,sK63_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f260,f1240])).
% 1.22/0.69 fof(f1239,plain,(
% 1.22/0.69 ![X0,X1,X2,X3]: (sP26_prd|~a(X0,X1)|~a(X2,X3))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f261,f1240])).
% 1.22/0.69 fof(f1240,plain,(
% 1.22/0.69 sP25_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1166,f1235])).
% 1.22/0.69 fof(f1241,plain,(
% 1.22/0.69 ![X0,X1]: (sP26_prd|~a(X0,X1)|sP26_prd|a(sK61_skl,sK62_skl))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1239,f1238])).
% 1.22/0.69 fof(f1244,plain,(
% 1.22/0.69 ![X0,X1]: (sP26_prd|~a(X0,X1)|a(sK61_skl,sK62_skl))),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f1241])).
% 1.22/0.69 fof(f1245,plain,(
% 1.22/0.69 ![X0,X1]: (sP26_prd|~a(X0,X1))),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1244,f1239])).
% 1.22/0.69 fof(f1246,plain,(
% 1.22/0.69 sP26_prd|a(sK64_skl,sK63_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f1238,f1245])).
% 1.22/0.69 fof(f1249,plain,(
% 1.22/0.69 sP26_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1246,f1245])).
% 1.22/0.69 fof(f1250,plain,(
% 1.22/0.69 sP27_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f600,f1249])).
% 1.22/0.69 fof(f1251,plain,(
% 1.22/0.69 sP28_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f623,f1250])).
% 1.22/0.69 fof(f1252,plain,(
% 1.22/0.69 ![X0]: (sP29_prd|a(X0,sK75_skl)|a(X0,X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f291,f1251])).
% 1.22/0.69 fof(f1253,plain,(
% 1.22/0.69 ![X0]: (sP29_prd|~a(X0,sK75_skl)|~a(X0,X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f290,f1251])).
% 1.22/0.69 fof(f1254,plain,(
% 1.22/0.69 sP29_prd|a(sK75_skl,sK75_skl)),
% 1.22/0.69 inference(factoring,[status(thm)],[f1252])).
% 1.22/0.69 fof(f1261,plain,(
% 1.22/0.69 sP29_prd|sP29_prd|~a(sK75_skl,sK75_skl)),
% 1.22/0.69 inference(resolution,[status(thm)],[f1254,f1253])).
% 1.22/0.69 fof(f1262,plain,(
% 1.22/0.69 sP29_prd|~a(sK75_skl,sK75_skl)),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f1261])).
% 1.22/0.69 fof(f1263,plain,(
% 1.22/0.69 sP29_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1262,f1254])).
% 1.22/0.69 fof(f1264,plain,(
% 1.22/0.69 b(sK78_skl)|sP31_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f652,f1263])).
% 1.22/0.69 fof(f1268,plain,(
% 1.22/0.69 ![X0]: (sP30_prd|~b(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f302,f1263])).
% 1.22/0.69 fof(f1272,plain,(
% 1.22/0.69 sP31_prd|sP30_prd),
% 1.22/0.69 inference(resolution,[status(thm)],[f1264,f1268])).
% 1.22/0.69 fof(f1273,plain,(
% 1.22/0.69 sP30_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1272,f313])).
% 1.22/0.69 fof(f1274,plain,(
% 1.22/0.69 sP31_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f625,f1273])).
% 1.22/0.69 fof(f1275,plain,(
% 1.22/0.69 sP32_prd|~p1(sK85_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f657,f1274])).
% 1.22/0.69 fof(f1277,plain,(
% 1.22/0.69 ![X0]: (sP32_prd|p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f627,f1274])).
% 1.22/0.69 fof(f1371,plain,(
% 1.22/0.69 sP33_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f628,f1372])).
% 1.22/0.69 fof(f1372,plain,(
% 1.22/0.69 sP32_prd),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1275,f1277])).
% 1.22/0.69 fof(f1373,plain,(
% 1.22/0.69 sP34_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f591,f1371])).
% 1.22/0.69 fof(f1374,plain,(
% 1.22/0.69 sP35_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f647,f1373])).
% 1.22/0.69 fof(f1378,plain,(
% 1.22/0.69 sP36_prd|~p1(sK96_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f658,f1374])).
% 1.22/0.69 fof(f1380,plain,(
% 1.22/0.69 ![X0]: (sP36_prd|p1(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f630,f1374])).
% 1.22/0.69 fof(f1401,plain,(
% 1.22/0.69 sP36_prd),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f1378,f1380])).
% 1.22/0.69 fof(f1464,plain,(
% 1.22/0.69 sP37_prd|r(sK99_skl,sK101_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f387,f1401])).
% 1.22/0.69 fof(f1465,plain,(
% 1.22/0.69 sP37_prd|s1(sK99_skl)),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f386,f1401])).
% 1.22/0.69 fof(f1467,plain,(
% 1.22/0.69 ![X0,X1]: (sP37_prd|~r(X0,X1)|q(X0,X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f389,f1401])).
% 1.22/0.69 fof(f1468,plain,(
% 1.22/0.69 ![X0,X1]: (sP37_prd|~p1(X0)|~q(X0,X1))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f390,f1401])).
% 1.22/0.69 fof(f1469,plain,(
% 1.22/0.69 ![X0]: (sP37_prd|sP38_prd(X0))),
% 1.22/0.69 inference(backward_subsumption_resolution,[status(thm)],[f388,f1401])).
% 1.22/0.69 fof(f1470,plain,(
% 1.22/0.69 ![X0]: (sP37_prd|~s1(X0)|p1(X0))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1469,f407])).
% 1.22/0.69 fof(f1478,plain,(
% 1.22/0.69 sP37_prd|p1(sK99_skl)|sP37_prd),
% 1.22/0.69 inference(resolution,[status(thm)],[f1470,f1465])).
% 1.22/0.69 fof(f1498,plain,(
% 1.22/0.69 sP37_prd|p1(sK99_skl)),
% 1.22/0.69 inference(duplicate_literals_removal,[status(thm)],[f1478])).
% 1.22/0.69 fof(f1513,plain,(
% 1.22/0.69 ![X0]: (sP37_prd|sP37_prd|~q(sK99_skl,X0))),
% 1.22/0.69 inference(resolution,[status(thm)],[f1498,f1468])).
% 1.22/0.70 fof(f1524,plain,(
% 1.22/0.70 ![X0]: (sP37_prd|~q(sK99_skl,X0))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1513])).
% 1.22/0.70 fof(f1527,plain,(
% 1.22/0.70 ![X0]: (sP37_prd|sP37_prd|~r(sK99_skl,X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1524,f1467])).
% 1.22/0.70 fof(f1528,plain,(
% 1.22/0.70 ![X0]: (sP37_prd|~r(sK99_skl,X0))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1527])).
% 1.22/0.70 fof(f1529,plain,(
% 1.22/0.70 sP37_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f1464,f1528])).
% 1.22/0.70 fof(f1530,plain,(
% 1.22/0.70 sP39_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f664,f1529])).
% 1.22/0.70 fof(f1531,plain,(
% 1.22/0.70 sP40_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f602,f1530])).
% 1.22/0.70 fof(f1532,plain,(
% 1.22/0.70 sP41_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f603,f1531])).
% 1.22/0.70 fof(f1562,plain,(
% 1.22/0.70 sP42_prd|~p1(sK119_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f665,f1532])).
% 1.22/0.70 fof(f1563,plain,(
% 1.22/0.70 ![X0]: (sP42_prd|p1(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f437,f1532])).
% 1.22/0.70 fof(f1585,plain,(
% 1.22/0.70 sP43_prd|r(sK121_skl,sK123_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f451,f1601])).
% 1.22/0.70 fof(f1586,plain,(
% 1.22/0.70 sP43_prd|s1(sK121_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f450,f1601])).
% 1.22/0.70 fof(f1594,plain,(
% 1.22/0.70 ![X0,X1]: (sP43_prd|~r(X0,X1)|q(X0,X1))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f453,f1601])).
% 1.22/0.70 fof(f1599,plain,(
% 1.22/0.70 ![X0,X1]: (sP43_prd|~p1(X0)|~q(X0,X1))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f454,f1601])).
% 1.22/0.70 fof(f1600,plain,(
% 1.22/0.70 ![X0]: (sP43_prd|sP44_prd(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f452,f1601])).
% 1.22/0.70 fof(f1601,plain,(
% 1.22/0.70 sP42_prd),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1562,f1563])).
% 1.22/0.70 fof(f1602,plain,(
% 1.22/0.70 ![X0]: (sP43_prd|~s1(X0)|p1(X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1600,f483])).
% 1.22/0.70 fof(f1604,plain,(
% 1.22/0.70 sP43_prd|p1(sK121_skl)|sP43_prd),
% 1.22/0.70 inference(resolution,[status(thm)],[f1602,f1586])).
% 1.22/0.70 fof(f1608,plain,(
% 1.22/0.70 sP43_prd|p1(sK121_skl)),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1604])).
% 1.22/0.70 fof(f1623,plain,(
% 1.22/0.70 ![X0]: (sP43_prd|sP43_prd|~q(sK121_skl,X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1608,f1599])).
% 1.22/0.70 fof(f1634,plain,(
% 1.22/0.70 ![X0]: (sP43_prd|~q(sK121_skl,X0))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1623])).
% 1.22/0.70 fof(f1637,plain,(
% 1.22/0.70 ![X0]: (sP43_prd|sP43_prd|~r(sK121_skl,X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1634,f1594])).
% 1.22/0.70 fof(f1638,plain,(
% 1.22/0.70 ![X0]: (sP43_prd|~r(sK121_skl,X0))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1637])).
% 1.22/0.70 fof(f1639,plain,(
% 1.22/0.70 sP43_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f1585,f1638])).
% 1.22/0.70 fof(f1640,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|~p1(X0)|~c(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f475,f1639])).
% 1.22/0.70 fof(f1641,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|~p1(X0)|~g(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f474,f1639])).
% 1.22/0.70 fof(f1642,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|sP48_prd(X0,sK129_skl))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f473,f1639])).
% 1.22/0.70 fof(f1643,plain,(
% 1.22/0.70 sP45_prd|e(sK129_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f470,f1639])).
% 1.22/0.70 fof(f1644,plain,(
% 1.22/0.70 sP45_prd|p1(sK129_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f469,f1639])).
% 1.22/0.70 fof(f1645,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|sP47_prd(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f472,f1639])).
% 1.22/0.70 fof(f1646,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|sP46_prd(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f471,f1639])).
% 1.22/0.70 fof(f1647,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|~e(X0)|g(X0)|c(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1645,f505])).
% 1.22/0.70 fof(f1648,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|~e(X0)|g(X0)|s(X0,f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1646,f499])).
% 1.22/0.70 fof(f1649,plain,(
% 1.22/0.70 sP45_prd|sP45_prd|~g(sK129_skl)),
% 1.22/0.70 inference(resolution,[status(thm)],[f1644,f1641])).
% 1.22/0.70 fof(f1659,plain,(
% 1.22/0.70 sP45_prd|~g(sK129_skl)),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1649])).
% 1.22/0.70 fof(f1665,plain,(
% 1.22/0.70 ![X0]: (sP45_prd|~e(X0)|g(X0)|~sP48_prd(f(X0),X0)|p1(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1648,f511])).
% 1.22/0.70 fof(f1667,plain,(
% 1.22/0.70 sP45_prd|~e(sK129_skl)|g(sK129_skl)|p1(f(sK129_skl))|sP45_prd),
% 1.22/0.70 inference(resolution,[status(thm)],[f1665,f1642])).
% 1.22/0.70 fof(f1668,plain,(
% 1.22/0.70 sP45_prd|~e(sK129_skl)|g(sK129_skl)|p1(f(sK129_skl))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1667])).
% 1.22/0.70 fof(f1669,plain,(
% 1.22/0.70 sP45_prd|g(sK129_skl)|p1(f(sK129_skl))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1668,f1643])).
% 1.22/0.70 fof(f1670,plain,(
% 1.22/0.70 sP45_prd|p1(f(sK129_skl))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1669,f1659])).
% 1.22/0.70 fof(f1676,plain,(
% 1.22/0.70 sP45_prd|sP45_prd|~c(f(sK129_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1670,f1640])).
% 1.22/0.70 fof(f1686,plain,(
% 1.22/0.70 sP45_prd|~c(f(sK129_skl))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1676])).
% 1.22/0.70 fof(f1687,plain,(
% 1.22/0.70 sP45_prd|sP45_prd|~e(sK129_skl)|g(sK129_skl)),
% 1.22/0.70 inference(resolution,[status(thm)],[f1686,f1647])).
% 1.22/0.70 fof(f1688,plain,(
% 1.22/0.70 sP45_prd|~e(sK129_skl)|g(sK129_skl)),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1687])).
% 1.22/0.70 fof(f1689,plain,(
% 1.22/0.70 sP45_prd|g(sK129_skl)),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1688,f1643])).
% 1.22/0.70 fof(f1690,plain,(
% 1.22/0.70 ![X0]: (sP49_prd|~a1(X0)|~c(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f493,f1692])).
% 1.22/0.70 fof(f1691,plain,(
% 1.22/0.70 sP49_prd|sP50_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f492,f1692])).
% 1.22/0.70 fof(f1692,plain,(
% 1.22/0.70 sP45_prd),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1689,f1659])).
% 1.22/0.70 fof(f1693,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|sP51_prd|~p1(X0)|r1(X1)|~q1(X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1691,f521])).
% 1.22/0.70 fof(f1694,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|sP51_prd|p1(f(X0))|~q1(X1))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1691,f520])).
% 1.22/0.70 fof(f1695,plain,(
% 1.22/0.70 sP50_prd|sP51_prd|q1(f(sK136_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1691,f519])).
% 1.22/0.70 fof(f1706,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|p1(f(X0))|sP50_prd|sP51_prd)),
% 1.22/0.70 inference(resolution,[status(thm)],[f1694,f1695])).
% 1.22/0.70 fof(f1707,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|p1(f(X0)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1706])).
% 1.22/0.70 fof(f1712,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|sP51_prd|sP50_prd|sP51_prd|r1(X0)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1707,f1693])).
% 1.22/0.70 fof(f1721,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|sP51_prd|r1(X0)|~q1(f(X1)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1712])).
% 1.22/0.70 fof(f1724,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|r1(X0)|sP50_prd|sP51_prd)),
% 1.22/0.70 inference(resolution,[status(thm)],[f1721,f1695])).
% 1.22/0.70 fof(f1725,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|r1(X0))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1724])).
% 1.22/0.70 fof(f1728,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|~sP49_prd|sP51_prd|~p1(X0)|~q1(X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1725,f757])).
% 1.22/0.70 fof(f1736,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|~sP49_prd|~p1(X0)|~q1(X0))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1728])).
% 1.22/0.70 fof(f1737,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|~p1(X0)|~q1(X0))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1736,f1691])).
% 1.22/0.70 fof(f1739,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|~q1(f(X0))|sP50_prd|sP51_prd)),
% 1.22/0.70 inference(resolution,[status(thm)],[f1737,f1707])).
% 1.22/0.70 fof(f1740,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|sP51_prd|~q1(f(X0)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1739])).
% 1.22/0.70 fof(f1741,plain,(
% 1.22/0.70 sP50_prd|sP51_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f1695,f1740])).
% 1.22/0.70 fof(f1742,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|sP52_prd(X0,X1,sK144_skl,sK143_skl)|sP53_prd(X2,X3,sK146_skl,sK145_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1741,f545])).
% 1.22/0.70 fof(f1745,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|q1(f(X0))|q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1741,f542])).
% 1.22/0.70 fof(f1759,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0))|~r1(X2)|~r1(X3))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1745,f551])).
% 1.22/0.70 fof(f1761,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0))|r1(X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1745,f550])).
% 1.22/0.70 fof(f1763,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|p1(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1745,f560])).
% 1.22/0.70 fof(f1783,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|q1(f(X0)))),
% 1.22/0.70 inference(factoring,[status(thm)],[f1745])).
% 1.22/0.70 fof(f1796,plain,(
% 1.22/0.70 ![X0,X1,X2]: (sP50_prd|p1(f(X0))|sP50_prd|sP52_prd(X1,X2,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1763,f1742])).
% 1.22/0.70 fof(f1798,plain,(
% 1.22/0.70 ![X0,X1,X2]: (sP50_prd|p1(f(X0))|sP52_prd(X1,X2,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1796])).
% 1.22/0.70 fof(f1826,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|p1(f(X0))|r1(X0)|sP50_prd|p1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1761,f1798])).
% 1.22/0.70 fof(f1832,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|p1(f(X0))|r1(X0)|p1(f(X1)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1826])).
% 1.22/0.70 fof(f1882,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|r1(X0)|~sP52_prd(X1,f(X0),X2,X3)|r1(X1)|~q1(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1832,f552])).
% 1.22/0.70 fof(f1911,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|r1(X0)|~sP52_prd(X1,f(X0),X2,X3)|r1(X1))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1882,f1783])).
% 1.22/0.70 fof(f1947,plain,(
% 1.22/0.70 ![X0,X1,X2]: (sP50_prd|r1(X0)|r1(X1)|sP50_prd|p1(f(X2)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f1911,f1798])).
% 1.22/0.70 fof(f1954,plain,(
% 1.22/0.70 ![X0,X1,X2]: (sP50_prd|r1(X0)|r1(X1)|p1(f(X2)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f1947])).
% 1.22/0.70 fof(f2102,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|r1(X0)|p1(f(X1)))),
% 1.22/0.70 inference(factoring,[status(thm)],[f1954])).
% 1.22/0.70 fof(f2117,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0))|~r1(X3))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f1759,f2102])).
% 1.22/0.70 fof(f2138,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0)))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2117,f2102])).
% 1.22/0.70 fof(f2195,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|p1(f(X0))|sP50_prd|p1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2138,f1798])).
% 1.22/0.70 fof(f2202,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|p1(f(X0))|p1(f(X1)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2195])).
% 1.22/0.70 fof(f2243,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|~r1(X3)|~r1(X2)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2202,f562])).
% 1.22/0.70 fof(f2245,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|r1(X0)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2202,f561])).
% 1.22/0.70 fof(f2247,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|~r1(X2)|~r1(X3)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2202,f553])).
% 1.22/0.70 fof(f2249,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|r1(X0)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2202,f552])).
% 1.22/0.70 fof(f2272,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|~r1(X3)|~r1(X2))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2243,f1783])).
% 1.22/0.70 fof(f2274,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|r1(X0))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2245,f1783])).
% 1.22/0.70 fof(f2275,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|~r1(X2)|~r1(X3))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2247,f1783])).
% 1.22/0.70 fof(f2277,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|r1(X0))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2249,f1783])).
% 1.22/0.70 fof(f2302,plain,(
% 1.22/0.70 ![X0,X1,X2]: (sP50_prd|r1(X0)|sP50_prd|sP52_prd(X1,X2,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2274,f1742])).
% 1.22/0.70 fof(f2305,plain,(
% 1.22/0.70 ![X0,X1,X2]: (sP50_prd|r1(X0)|sP52_prd(X1,X2,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2302])).
% 1.22/0.70 fof(f2320,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|r1(X0)|sP50_prd|r1(X1))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2305,f2277])).
% 1.22/0.70 fof(f2322,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|r1(X0)|r1(X1))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2320])).
% 1.22/0.70 fof(f2347,plain,(
% 1.22/0.70 ![X0]: (sP50_prd|r1(X0))),
% 1.22/0.70 inference(factoring,[status(thm)],[f2322])).
% 1.22/0.70 fof(f2372,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|~r1(X2))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2272,f2347])).
% 1.22/0.70 fof(f2373,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3)|sP50_prd)),
% 1.22/0.70 inference(resolution,[status(thm)],[f2372,f2347])).
% 1.22/0.70 fof(f2374,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP53_prd(X0,f(X1),X2,X3))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2373])).
% 1.22/0.70 fof(f2375,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|sP50_prd|sP52_prd(X0,X1,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2374,f1742])).
% 1.22/0.70 fof(f2378,plain,(
% 1.22/0.70 ![X0,X1]: (sP50_prd|sP52_prd(X0,X1,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2375])).
% 1.22/0.70 fof(f2380,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|~r1(X3))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2275,f2347])).
% 1.22/0.70 fof(f2381,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3)|sP50_prd)),
% 1.22/0.70 inference(resolution,[status(thm)],[f2380,f2347])).
% 1.22/0.70 fof(f2382,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP50_prd|~sP52_prd(X0,f(X1),X2,X3))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2381])).
% 1.22/0.70 fof(f2383,plain,(
% 1.22/0.70 sP50_prd|sP50_prd),
% 1.22/0.70 inference(resolution,[status(thm)],[f2382,f2378])).
% 1.22/0.70 fof(f2386,plain,(
% 1.22/0.70 sP50_prd),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2383])).
% 1.22/0.70 fof(f2388,plain,(
% 1.22/0.70 ~b(sK141_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f532,f2386])).
% 1.22/0.70 fof(f2389,plain,(
% 1.22/0.70 a1(sK141_skl)),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f531,f2386])).
% 1.22/0.70 fof(f2390,plain,(
% 1.22/0.70 ![X0]: (~a1(X0)|b(X0)|c(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f530,f2386])).
% 1.22/0.70 fof(f2391,plain,(
% 1.22/0.70 ~a1(sK141_skl)|c(sK141_skl)),
% 1.22/0.70 inference(resolution,[status(thm)],[f2390,f2388])).
% 1.22/0.70 fof(f2392,plain,(
% 1.22/0.70 c(sK141_skl)),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2391,f2389])).
% 1.22/0.70 fof(f2393,plain,(
% 1.22/0.70 sP49_prd|~a1(sK141_skl)),
% 1.22/0.70 inference(resolution,[status(thm)],[f2392,f1690])).
% 1.22/0.70 fof(f2394,plain,(
% 1.22/0.70 sP49_prd),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2393,f2389])).
% 1.22/0.70 fof(f2395,plain,(
% 1.22/0.70 ![X0]: (sP51_prd|~p1(X0)|~r1(sK137_skl)|~q1(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f757,f2394])).
% 1.22/0.70 fof(f2396,plain,(
% 1.22/0.70 ![X0,X1]: (sP51_prd|~p1(X0)|r1(X1)|~q1(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f521,f2394])).
% 1.22/0.70 fof(f2397,plain,(
% 1.22/0.70 ![X0,X1]: (sP51_prd|p1(f(X0))|~q1(X1))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f520,f2394])).
% 1.22/0.70 fof(f2398,plain,(
% 1.22/0.70 sP51_prd|q1(f(sK136_skl))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f519,f2394])).
% 1.22/0.70 fof(f2399,plain,(
% 1.22/0.70 ![X0]: (sP51_prd|~p1(X0)|~q1(X0))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f2395,f2396])).
% 1.22/0.70 fof(f2406,plain,(
% 1.22/0.70 ![X0]: (sP51_prd|p1(f(X0))|sP51_prd)),
% 1.22/0.70 inference(resolution,[status(thm)],[f2397,f2398])).
% 1.22/0.70 fof(f2407,plain,(
% 1.22/0.70 ![X0]: (sP51_prd|p1(f(X0)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2406])).
% 1.22/0.70 fof(f2412,plain,(
% 1.22/0.70 ![X0]: (sP51_prd|sP51_prd|~q1(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2407,f2399])).
% 1.22/0.70 fof(f2421,plain,(
% 1.22/0.70 ![X0]: (sP51_prd|~q1(f(X0)))),
% 1.22/0.70 inference(duplicate_literals_removal,[status(thm)],[f2412])).
% 1.22/0.70 fof(f2422,plain,(
% 1.22/0.70 sP51_prd),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f2398,f2421])).
% 1.22/0.70 fof(f2423,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (sP52_prd(X0,X1,sK144_skl,sK143_skl)|sP53_prd(X2,X3,sK146_skl,sK145_skl))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f545,f2422])).
% 1.22/0.70 fof(f2426,plain,(
% 1.22/0.70 ![X0,X1]: (q1(f(X0))|q1(f(X1)))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f542,f2422])).
% 1.22/0.70 fof(f2433,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0))|~r1(X2)|~r1(X3))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2426,f551])).
% 1.22/0.70 fof(f2435,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0))|r1(X0))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2426,f550])).
% 1.22/0.70 fof(f2437,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,f(X1),X2,X3)|p1(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2426,f560])).
% 1.22/0.70 fof(f2451,plain,(
% 1.22/0.70 ![X0]: (q1(f(X0)))),
% 1.22/0.70 inference(factoring,[status(thm)],[f2426])).
% 1.22/0.70 fof(f2458,plain,(
% 1.22/0.70 ![X0,X1,X2]: (p1(f(X0))|sP52_prd(X1,X2,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2437,f2423])).
% 1.22/0.70 fof(f2486,plain,(
% 1.22/0.70 ![X0,X1]: (p1(f(X0))|r1(X0)|p1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2435,f2458])).
% 1.22/0.70 fof(f2537,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (r1(X0)|~sP52_prd(X1,f(X0),X2,X3)|r1(X1)|~q1(f(X0)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2486,f552])).
% 1.22/0.70 fof(f2566,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (r1(X0)|~sP52_prd(X1,f(X0),X2,X3)|r1(X1))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2537,f2451])).
% 1.22/0.70 fof(f2599,plain,(
% 1.22/0.70 ![X0,X1,X2]: (r1(X0)|r1(X1)|p1(f(X2)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2566,f2458])).
% 1.22/0.70 fof(f2730,plain,(
% 1.22/0.70 ![X0,X1]: (r1(X0)|p1(f(X1)))),
% 1.22/0.70 inference(factoring,[status(thm)],[f2599])).
% 1.22/0.70 fof(f2742,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0))|~r1(X3))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f2433,f2730])).
% 1.22/0.70 fof(f2762,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|p1(f(X0)))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2742,f2730])).
% 1.22/0.70 fof(f2812,plain,(
% 1.22/0.70 ![X0,X1]: (p1(f(X0))|p1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2762,f2458])).
% 1.22/0.70 fof(f2848,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,f(X1),X2,X3)|r1(X0)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2812,f561])).
% 1.22/0.70 fof(f2852,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|r1(X0)|~q1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2812,f552])).
% 1.22/0.70 fof(f2872,plain,(
% 1.22/0.70 ![X0]: (p1(f(X0)))),
% 1.22/0.70 inference(factoring,[status(thm)],[f2812])).
% 1.22/0.70 fof(f2875,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,f(X1),X2,X3)|r1(X0))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2848,f2451])).
% 1.22/0.70 fof(f2878,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|r1(X0))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2852,f2451])).
% 1.22/0.70 fof(f2901,plain,(
% 1.22/0.70 ![X0,X1,X2]: (r1(X0)|sP52_prd(X1,X2,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2875,f2423])).
% 1.22/0.70 fof(f2915,plain,(
% 1.22/0.70 ![X0,X1]: (r1(X0)|r1(X1))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2901,f2878])).
% 1.22/0.70 fof(f2931,plain,(
% 1.22/0.70 ![X0]: (r1(X0))),
% 1.22/0.70 inference(factoring,[status(thm)],[f2915])).
% 1.22/0.70 fof(f2935,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,X1,X2,X3)|~p1(X1)|~r1(X3)|~q1(X1))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f562,f2931])).
% 1.22/0.70 fof(f2936,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,X1,X2,X3)|~p1(X1)|~r1(X2)|~q1(X1))),
% 1.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f553,f2931])).
% 1.22/0.70 fof(f2941,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,X1,X2,X3)|~p1(X1)|~q1(X1))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2935,f2931])).
% 1.22/0.70 fof(f2942,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,X1,X2,X3)|~p1(X1)|~q1(X1))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2936,f2931])).
% 1.22/0.70 fof(f2950,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,f(X1),X2,X3)|~p1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2941,f2451])).
% 1.22/0.70 fof(f2951,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP53_prd(X0,f(X1),X2,X3))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2950,f2872])).
% 1.22/0.70 fof(f2952,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3)|~p1(f(X1)))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2942,f2451])).
% 1.22/0.70 fof(f2953,plain,(
% 1.22/0.70 ![X0,X1,X2,X3]: (~sP52_prd(X0,f(X1),X2,X3))),
% 1.22/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2952,f2872])).
% 1.22/0.70 fof(f2954,plain,(
% 1.22/0.70 ![X0,X1]: (sP52_prd(X0,X1,sK144_skl,sK143_skl))),
% 1.22/0.70 inference(resolution,[status(thm)],[f2951,f2423])).
% 1.22/0.70 fof(f2961,plain,(
% 1.22/0.70 $false),
% 1.22/0.70 inference(resolution,[status(thm)],[f2954,f2953])).
% 1.22/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 1.22/0.70 % Elapsed time: 0.335977 seconds
% 1.22/0.70 % CPU time: 2.274497 seconds
% 1.22/0.70 % Total memory used: 58.543 MB
% 1.22/0.70 % Net memory used: 57.048 MB
%------------------------------------------------------------------------------