Drodi-SAT---4.1.1.THM-Ass.s

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN917+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 : n007.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 03:21:32 PM UTC 2026

% Result   : Theorem 0.09s 0.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN917+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
% 0.09/0.36  % Computer : n007.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 11:27:35 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.45  % Refutation found
% 0.09/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.45  fof(f1,conjecture,(
% 0.09/0.45    ( ( ( (! [X] :( ( ( f(X)& g(X) )=> h(X) )=> (? [Y] :( f(Y)& ~ g(Y) ) )))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) )& ( ( (! [X,Y] :( r(X,Y)=> r(Y,X) ))& (! [X,Y,Z] :( ( r(X,Y)& r(Y,Z) )=> r(X,Z) ) ))=> (! [X,Y] :( r(X,Y)=> r(X,X) ) ))& ( ( ( (! [X] :( ( f(X)& g(X) )=> h(X) ))=> (? [X] :( f(X)& ~ g(X) ) ))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) )& (? [X] :(! [Y] :( ( p(Y)=> q(X) )=> ( p(X)=> q(X) ) )))& ( (! [X] :( p(X)& q(X) ))<=> ( (! [X] : p(X))& (! [X] : q(X) )) )& ( ( (! [X] : p(X))| (! [X] : q(X) ))=> (! [X] :( p(X)| q(X) ) ))& ( (? [X] :( p(X)| q(X) ))<=> ( (? [X] : p(X))| (? [X] : q(X) )) )& (? [Y] :( p(Y)=> (! [X] : p(X) )))& ( (? [X] :( p(X)& q(X) ))=> ( (? [X] : p(X))& (? [X] : q(X) )) )& (! [Y] :( (! [X] : p(X))=> p(Y) ))& ( (! [X] : p(X))=> (? [X] : p(X) ))& ( ~ (? [Y] : p(Y))=> (! [Y] :( (? [X] : p(X))=> p(Y) ) ))& ( (! [X] :( p(X)| c ))<=> ( (! [X] : p(X))| c ) )& ( (? [X] :( p(X)& c ))<=> ( (? [X] : p(X))& c ) )& ( (? [X] : c)<=> c )& ( (! [X] : c)<=> c )& ( (? [X] :( c=> p(X) ))<=> ( c=> (? [X] : p(X) )) )& ( (? [X] :( p(X)=> c ))<=> ( (! [X] : p(X))=> c ) )& ( (! [X] :( c=> p(X) ))<=> ( c=> (! [X] : p(X) )) )& ( (! [X] :( p(X)=> c ))<=> ( (? [X] : p(X))=> c ) ) ) ),
% 0.09/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.45  fof(f2,negated_conjecture,(
% 0.09/0.45    ~(( ( ( (! [X] :( ( ( f(X)& g(X) )=> h(X) )=> (? [Y] :( f(Y)& ~ g(Y) ) )))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) )& ( ( (! [X,Y] :( r(X,Y)=> r(Y,X) ))& (! [X,Y,Z] :( ( r(X,Y)& r(Y,Z) )=> r(X,Z) ) ))=> (! [X,Y] :( r(X,Y)=> r(X,X) ) ))& ( ( ( (! [X] :( ( f(X)& g(X) )=> h(X) ))=> (? [X] :( f(X)& ~ g(X) ) ))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) )& (? [X] :(! [Y] :( ( p(Y)=> q(X) )=> ( p(X)=> q(X) ) )))& ( (! [X] :( p(X)& q(X) ))<=> ( (! [X] : p(X))& (! [X] : q(X) )) )& ( ( (! [X] : p(X))| (! [X] : q(X) ))=> (! [X] :( p(X)| q(X) ) ))& ( (? [X] :( p(X)| q(X) ))<=> ( (? [X] : p(X))| (? [X] : q(X) )) )& (? [Y] :( p(Y)=> (! [X] : p(X) )))& ( (? [X] :( p(X)& q(X) ))=> ( (? [X] : p(X))& (? [X] : q(X) )) )& (! [Y] :( (! [X] : p(X))=> p(Y) ))& ( (! [X] : p(X))=> (? [X] : p(X) ))& ( ~ (? [Y] : p(Y))=> (! [Y] :( (? [X] : p(X))=> p(Y) ) ))& ( (! [X] :( p(X)| c ))<=> ( (! [X] : p(X))| c ) )& ( (? [X] :( p(X)& c ))<=> ( (? [X] : p(X))& c ) )& ( (? [X] : c)<=> c )& ( (! [X] : c)<=> c )& ( (? [X] :( c=> p(X) ))<=> ( c=> (? [X] : p(X) )) )& ( (? [X] :( p(X)=> c ))<=> ( (! [X] : p(X))=> c ) )& ( (! [X] :( c=> p(X) ))<=> ( c=> (! [X] : p(X) )) )& ( (! [X] :( p(X)=> c ))<=> ( (? [X] : p(X))=> c ) ) ) )),
% 0.09/0.45    inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.45  fof(f3,plain,(
% 0.09/0.45    ((((((((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))|((?[X]: c)<~>c))|((![X]: c)<~>c))|((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X)))))|((?[X]: (~p(X)|c))<~>((?[X]: ~p(X))|c)))|((![X]: (~c|p(X)))<~>(~c|(![X]: p(X)))))|((![X]: (~p(X)|c))<~>((![X]: ~p(X))|c)))),
% 0.09/0.45    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.45  fof(f4,definition,(
% 0.09/0.45    sP0_prd<=>(((((((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))|((?[X]: c)<~>c))|((![X]: c)<~>c))|((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X)))))|((?[X]: (~p(X)|c))<~>((?[X]: ~p(X))|c)))|((![X]: (~c|p(X)))<~>(~c|(![X]: p(X)))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.45  fof(f5,plain,(
% 0.09/0.45    sP0_prd|((![X]: (~p(X)|c))<~>((![X]: ~p(X))|c))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.09/0.45  fof(f6,plain,(
% 0.09/0.45    sP0_prd|(((![X]: (~p(X)|c))|((![X]: ~p(X))|c))&((?[X]: (p(X)&~c))|((?[X]: p(X))&~c)))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f5])).
% 0.09/0.45  fof(f7,plain,(
% 0.09/0.45    sP0_prd|((((![X]: ~p(X))|c)|((![X]: ~p(X))|c))&(((?[X]: p(X))&~c)|((?[X]: p(X))&~c)))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.45  fof(f8,plain,(
% 0.09/0.45    sP0_prd|((((![X]: ~p(X))|c)|((![X]: ~p(X))|c))&((p(sK0_skl)&~c)|(p(sK1_skl)&~c)))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f7])).
% 0.09/0.45  fof(f9,plain,(
% 0.09/0.45    ![X0,X1]: (sP0_prd|~p(X0)|c|~p(X1)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.45  fof(f10,plain,(
% 0.09/0.45    sP0_prd|p(sK0_skl)|p(sK1_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.45  fof(f13,plain,(
% 0.09/0.45    sP0_prd|~c|~c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.45  fof(f14,definition,(
% 0.09/0.45    sP1_prd<=>((((((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))|((?[X]: c)<~>c))|((![X]: c)<~>c))|((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X)))))|((?[X]: (~p(X)|c))<~>((?[X]: ~p(X))|c)))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.09/0.45  fof(f15,plain,(
% 0.09/0.45    sP0_prd<=>(sP1_prd|((![X]: (~c|p(X)))<~>(~c|(![X]: p(X)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f4,f14])).
% 0.09/0.45  fof(f16,definition,(
% 0.09/0.45    ![X]: (sP2_prd(X)<=>(~c|p(X)))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.09/0.45  fof(f17,plain,(
% 0.09/0.45    sP0_prd<=>(sP1_prd|((![X]: sP2_prd(X))<~>(~c|(![X]: p(X)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f15,f16])).
% 0.09/0.45  fof(f18,plain,(
% 0.09/0.45    (~sP0_prd|(sP1_prd|(((![X]: sP2_prd(X))|(~c|(![X]: p(X))))&((?[X]: ~sP2_prd(X))|(c&(?[X]: ~p(X)))))))&(sP0_prd|(~sP1_prd&(((?[X]: ~sP2_prd(X))|(~c|(![X]: p(X))))&((![X]: sP2_prd(X))|(c&(?[X]: ~p(X)))))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f17])).
% 0.09/0.45  fof(f19,plain,(
% 0.09/0.45    (~sP0_prd|(sP1_prd|(((![X]: sP2_prd(X))|(~c|(![X]: p(X))))&(~sP2_prd(sK2_skl)|(c&~p(sK3_skl))))))&(sP0_prd|(~sP1_prd&((~sP2_prd(sK4_skl)|(~c|(![X]: p(X))))&((![X]: sP2_prd(X))|(c&~p(sK5_skl))))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(X,sK4_skl),skolemize(X,sK5_skl)],[f18])).
% 0.09/0.45  fof(f20,plain,(
% 0.09/0.45    ![X0,X1]: (~sP0_prd|sP1_prd|sP2_prd(X0)|~c|p(X1))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.45  fof(f21,plain,(
% 0.09/0.45    ~sP0_prd|sP1_prd|~sP2_prd(sK2_skl)|c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.45  fof(f22,plain,(
% 0.09/0.45    ~sP0_prd|sP1_prd|~sP2_prd(sK2_skl)|~p(sK3_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.45  fof(f23,plain,(
% 0.09/0.45    sP0_prd|~sP1_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.45  fof(f27,definition,(
% 0.09/0.45    sP3_prd<=>(((((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))|((?[X]: c)<~>c))|((![X]: c)<~>c))|((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X)))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.09/0.45  fof(f28,plain,(
% 0.09/0.45    sP1_prd<=>(sP3_prd|((?[X]: (~p(X)|c))<~>((?[X]: ~p(X))|c)))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f14,f27])).
% 0.09/0.45  fof(f29,definition,(
% 0.09/0.45    ![X]: (sP4_prd(X)<=>(~p(X)|c))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.09/0.45  fof(f30,plain,(
% 0.09/0.45    sP1_prd<=>(sP3_prd|((?[X]: sP4_prd(X))<~>((?[X]: ~p(X))|c)))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f28,f29])).
% 0.09/0.45  fof(f31,plain,(
% 0.09/0.45    (~sP1_prd|(sP3_prd|(((?[X]: sP4_prd(X))|((?[X]: ~p(X))|c))&((![X]: ~sP4_prd(X))|((![X]: p(X))&~c)))))&(sP1_prd|(~sP3_prd&(((![X]: ~sP4_prd(X))|((?[X]: ~p(X))|c))&((?[X]: sP4_prd(X))|((![X]: p(X))&~c)))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f30])).
% 0.09/0.45  fof(f32,plain,(
% 0.09/0.45    (~sP1_prd|(sP3_prd|((sP4_prd(sK6_skl)|(~p(sK7_skl)|c))&((![X]: ~sP4_prd(X))|((![X]: p(X))&~c)))))&(sP1_prd|(~sP3_prd&(((![X]: ~sP4_prd(X))|(~p(sK8_skl)|c))&(sP4_prd(sK9_skl)|((![X]: p(X))&~c)))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK6_skl),skolemize(X,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl)],[f31])).
% 0.09/0.45  fof(f33,plain,(
% 0.09/0.45    ~sP1_prd|sP3_prd|sP4_prd(sK6_skl)|~p(sK7_skl)|c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.45  fof(f34,plain,(
% 0.09/0.45    ![X0,X1]: (~sP1_prd|sP3_prd|~sP4_prd(X0)|p(X1))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.45  fof(f35,plain,(
% 0.09/0.45    ![X0]: (~sP1_prd|sP3_prd|~sP4_prd(X0)|~c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.45  fof(f36,plain,(
% 0.09/0.45    sP1_prd|~sP3_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.45  fof(f38,plain,(
% 0.09/0.45    ![X0]: (sP1_prd|sP4_prd(sK9_skl)|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.45  fof(f40,plain,(
% 0.09/0.45    ![X]: ((~sP2_prd(X)|(~c|p(X)))&(sP2_prd(X)|(c&~p(X))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f16])).
% 0.09/0.45  fof(f41,plain,(
% 0.09/0.45    (![X]: (~sP2_prd(X)|(~c|p(X))))&(![X]: (sP2_prd(X)|(c&~p(X))))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f40])).
% 0.09/0.45  fof(f42,plain,(
% 0.09/0.45    ![X0]: (~sP2_prd(X0)|~c|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.45  fof(f43,plain,(
% 0.09/0.45    ![X0]: (sP2_prd(X0)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.45  fof(f44,plain,(
% 0.09/0.45    ![X0]: (sP2_prd(X0)|~p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.45  fof(f45,definition,(
% 0.09/0.45    sP5_prd<=>((((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))|((?[X]: c)<~>c))|((![X]: c)<~>c))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.09/0.45  fof(f46,plain,(
% 0.09/0.45    sP3_prd<=>(sP5_prd|((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f27,f45])).
% 0.09/0.45  fof(f47,definition,(
% 0.09/0.45    ![X]: (sP6_prd(X)<=>(~c|p(X)))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.09/0.45  fof(f48,plain,(
% 0.09/0.45    sP3_prd<=>(sP5_prd|((?[X]: sP6_prd(X))<~>(~c|(?[X]: p(X)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f46,f47])).
% 0.09/0.45  fof(f49,plain,(
% 0.09/0.45    (~sP3_prd|(sP5_prd|(((?[X]: sP6_prd(X))|(~c|(?[X]: p(X))))&((![X]: ~sP6_prd(X))|(c&(![X]: ~p(X)))))))&(sP3_prd|(~sP5_prd&(((![X]: ~sP6_prd(X))|(~c|(?[X]: p(X))))&((?[X]: sP6_prd(X))|(c&(![X]: ~p(X)))))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f48])).
% 0.09/0.45  fof(f50,plain,(
% 0.09/0.45    (~sP3_prd|(sP5_prd|((sP6_prd(sK10_skl)|(~c|p(sK11_skl)))&((![X]: ~sP6_prd(X))|(c&(![X]: ~p(X)))))))&(sP3_prd|(~sP5_prd&(((![X]: ~sP6_prd(X))|(~c|p(sK12_skl)))&(sP6_prd(sK13_skl)|(c&(![X]: ~p(X)))))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(X,sK10_skl),skolemize(X,sK11_skl),skolemize(X,sK12_skl),skolemize(X,sK13_skl)],[f49])).
% 0.09/0.45  fof(f51,plain,(
% 0.09/0.45    ~sP3_prd|sP5_prd|sP6_prd(sK10_skl)|~c|p(sK11_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.45  fof(f52,plain,(
% 0.09/0.45    ![X0]: (~sP3_prd|sP5_prd|~sP6_prd(X0)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.45  fof(f53,plain,(
% 0.09/0.45    ![X0,X1]: (~sP3_prd|sP5_prd|~sP6_prd(X0)|~p(X1))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.45  fof(f54,plain,(
% 0.09/0.45    sP3_prd|~sP5_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.45  fof(f57,plain,(
% 0.09/0.45    ![X0]: (sP3_prd|sP6_prd(sK13_skl)|~p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.45  fof(f58,plain,(
% 0.09/0.45    ![X]: ((~sP4_prd(X)|(~p(X)|c))&(sP4_prd(X)|(p(X)&~c)))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f29])).
% 0.09/0.45  fof(f59,plain,(
% 0.09/0.45    (![X]: (~sP4_prd(X)|(~p(X)|c)))&(![X]: (sP4_prd(X)|(p(X)&~c)))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f58])).
% 0.09/0.45  fof(f60,plain,(
% 0.09/0.45    ![X0]: (~sP4_prd(X0)|~p(X0)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.45  fof(f61,plain,(
% 0.09/0.45    ![X0]: (sP4_prd(X0)|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.45  fof(f62,plain,(
% 0.09/0.45    ![X0]: (sP4_prd(X0)|~c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.45  fof(f63,definition,(
% 0.09/0.45    sP7_prd<=>(((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))|((?[X]: c)<~>c))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.09/0.45  fof(f64,plain,(
% 0.09/0.45    sP5_prd<=>(sP7_prd|((![X]: c)<~>c))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f45,f63])).
% 0.09/0.45  fof(f65,plain,(
% 0.09/0.45    (~sP5_prd|(sP7_prd|(((![X]: c)|c)&((?[X]: ~c)|~c))))&(sP5_prd|(~sP7_prd&(((?[X]: ~c)|c)&((![X]: c)|~c))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f64])).
% 0.09/0.45  fof(f66,plain,(
% 0.09/0.45    ~sP5_prd|sP7_prd|c|c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.45  fof(f67,plain,(
% 0.09/0.45    ~sP5_prd|sP7_prd|~c|~c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.45  fof(f68,plain,(
% 0.09/0.45    sP5_prd|~sP7_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.45  fof(f71,plain,(
% 0.09/0.45    ![X]: ((~sP6_prd(X)|(~c|p(X)))&(sP6_prd(X)|(c&~p(X))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f47])).
% 0.09/0.45  fof(f72,plain,(
% 0.09/0.45    (![X]: (~sP6_prd(X)|(~c|p(X))))&(![X]: (sP6_prd(X)|(c&~p(X))))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f71])).
% 0.09/0.45  fof(f73,plain,(
% 0.09/0.45    ![X0]: (~sP6_prd(X0)|~c|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f72])).
% 0.09/0.45  fof(f74,plain,(
% 0.09/0.45    ![X0]: (sP6_prd(X0)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f72])).
% 0.09/0.45  fof(f75,plain,(
% 0.09/0.45    ![X0]: (sP6_prd(X0)|~p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f72])).
% 0.09/0.45  fof(f76,definition,(
% 0.09/0.45    sP8_prd<=>((((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.09/0.45  fof(f77,plain,(
% 0.09/0.45    sP7_prd<=>(sP8_prd|((?[X]: c)<~>c))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f63,f76])).
% 0.09/0.45  fof(f78,plain,(
% 0.09/0.45    (~sP7_prd|(sP8_prd|(((?[X]: c)|c)&((![X]: ~c)|~c))))&(sP7_prd|(~sP8_prd&(((![X]: ~c)|c)&((?[X]: c)|~c))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f77])).
% 0.09/0.45  fof(f79,plain,(
% 0.09/0.45    ~sP7_prd|sP8_prd|c|c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f78])).
% 0.09/0.45  fof(f80,plain,(
% 0.09/0.45    ~sP7_prd|sP8_prd|~c|~c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f78])).
% 0.09/0.45  fof(f81,plain,(
% 0.09/0.45    sP7_prd|~sP8_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f78])).
% 0.09/0.45  fof(f84,definition,(
% 0.09/0.45    sP9_prd<=>(((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.09/0.45  fof(f85,plain,(
% 0.09/0.45    sP8_prd<=>(sP9_prd|((?[X]: (p(X)&c))<~>((?[X]: p(X))&c)))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f76,f84])).
% 0.09/0.45  fof(f86,definition,(
% 0.09/0.45    ![X]: (sP10_prd(X)<=>(p(X)&c))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.09/0.45  fof(f87,plain,(
% 0.09/0.45    sP8_prd<=>(sP9_prd|((?[X]: sP10_prd(X))<~>((?[X]: p(X))&c)))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f85,f86])).
% 0.09/0.45  fof(f88,plain,(
% 0.09/0.45    (~sP8_prd|(sP9_prd|(((?[X]: sP10_prd(X))|((?[X]: p(X))&c))&((![X]: ~sP10_prd(X))|((![X]: ~p(X))|~c)))))&(sP8_prd|(~sP9_prd&(((![X]: ~sP10_prd(X))|((?[X]: p(X))&c))&((?[X]: sP10_prd(X))|((![X]: ~p(X))|~c)))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f87])).
% 0.09/0.45  fof(f89,plain,(
% 0.09/0.45    (~sP8_prd|(sP9_prd|((sP10_prd(sK14_skl)|(p(sK15_skl)&c))&((![X]: ~sP10_prd(X))|((![X]: ~p(X))|~c)))))&(sP8_prd|(~sP9_prd&(((![X]: ~sP10_prd(X))|(p(sK16_skl)&c))&(sP10_prd(sK17_skl)|((![X]: ~p(X))|~c)))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl,sK17_skl]),skolemize(X,sK14_skl),skolemize(X,sK15_skl),skolemize(X,sK16_skl),skolemize(X,sK17_skl)],[f88])).
% 0.09/0.45  fof(f90,plain,(
% 0.09/0.45    ~sP8_prd|sP9_prd|sP10_prd(sK14_skl)|p(sK15_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.45  fof(f91,plain,(
% 0.09/0.45    ~sP8_prd|sP9_prd|sP10_prd(sK14_skl)|c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.45  fof(f92,plain,(
% 0.09/0.45    ![X0,X1]: (~sP8_prd|sP9_prd|~sP10_prd(X0)|~p(X1)|~c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.45  fof(f93,plain,(
% 0.09/0.45    sP8_prd|~sP9_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.45  fof(f97,definition,(
% 0.09/0.45    sP11_prd<=>((((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.09/0.45  fof(f98,plain,(
% 0.09/0.45    sP9_prd<=>(sP11_prd|((![X]: (p(X)|c))<~>((![X]: p(X))|c)))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f84,f97])).
% 0.09/0.45  fof(f99,definition,(
% 0.09/0.45    ![X]: (sP12_prd(X)<=>(p(X)|c))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.09/0.45  fof(f100,plain,(
% 0.09/0.45    sP9_prd<=>(sP11_prd|((![X]: sP12_prd(X))<~>((![X]: p(X))|c)))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f98,f99])).
% 0.09/0.45  fof(f101,plain,(
% 0.09/0.45    (~sP9_prd|(sP11_prd|(((![X]: sP12_prd(X))|((![X]: p(X))|c))&((?[X]: ~sP12_prd(X))|((?[X]: ~p(X))&~c)))))&(sP9_prd|(~sP11_prd&(((?[X]: ~sP12_prd(X))|((![X]: p(X))|c))&((![X]: sP12_prd(X))|((?[X]: ~p(X))&~c)))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f100])).
% 0.09/0.45  fof(f102,plain,(
% 0.09/0.45    (~sP9_prd|(sP11_prd|(((![X]: sP12_prd(X))|((![X]: p(X))|c))&(~sP12_prd(sK18_skl)|(~p(sK19_skl)&~c)))))&(sP9_prd|(~sP11_prd&((~sP12_prd(sK20_skl)|((![X]: p(X))|c))&((![X]: sP12_prd(X))|(~p(sK21_skl)&~c)))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl,sK21_skl]),skolemize(X,sK18_skl),skolemize(X,sK19_skl),skolemize(X,sK20_skl),skolemize(X,sK21_skl)],[f101])).
% 0.09/0.45  fof(f103,plain,(
% 0.09/0.45    ![X0,X1]: (~sP9_prd|sP11_prd|sP12_prd(X0)|p(X1)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.45  fof(f104,plain,(
% 0.09/0.45    ~sP9_prd|sP11_prd|~sP12_prd(sK18_skl)|~p(sK19_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.45  fof(f105,plain,(
% 0.09/0.45    ~sP9_prd|sP11_prd|~sP12_prd(sK18_skl)|~c),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.45  fof(f106,plain,(
% 0.09/0.45    sP9_prd|~sP11_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.45  fof(f110,plain,(
% 0.09/0.45    ![X]: ((~sP10_prd(X)|(p(X)&c))&(sP10_prd(X)|(~p(X)|~c)))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f86])).
% 0.09/0.45  fof(f111,plain,(
% 0.09/0.45    (![X]: (~sP10_prd(X)|(p(X)&c)))&(![X]: (sP10_prd(X)|(~p(X)|~c)))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f110])).
% 0.09/0.45  fof(f112,plain,(
% 0.09/0.45    ![X0]: (~sP10_prd(X0)|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f111])).
% 0.09/0.45  fof(f113,plain,(
% 0.09/0.45    ![X0]: (~sP10_prd(X0)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f111])).
% 0.09/0.45  fof(f114,plain,(
% 0.09/0.45    ![X0]: (sP10_prd(X0)|~p(X0)|~c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f111])).
% 0.09/0.45  fof(f115,definition,(
% 0.09/0.45    sP13_prd<=>(((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))|((![X]: p(X))&(![X]: ~p(X))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.09/0.45  fof(f116,plain,(
% 0.09/0.45    sP11_prd<=>(sP13_prd|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f97,f115])).
% 0.09/0.45  fof(f117,plain,(
% 0.09/0.45    (~sP11_prd|(sP13_prd|((![Y]: ~p(Y))&(?[Y]: ((?[X]: p(X))&~p(Y))))))&(sP11_prd|(~sP13_prd&((?[Y]: p(Y))|(![Y]: ((![X]: ~p(X))|p(Y))))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f116])).
% 0.09/0.45  fof(f118,plain,(
% 0.09/0.45    (~sP11_prd|(sP13_prd|((![Y]: ~p(Y))&((?[X]: p(X))&(?[Y]: ~p(Y))))))&(sP11_prd|(~sP13_prd&((?[Y]: p(Y))|((![X]: ~p(X))|(![Y]: p(Y))))))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f117])).
% 0.09/0.45  fof(f119,plain,(
% 0.09/0.45    (~sP11_prd|(sP13_prd|((![Y]: ~p(Y))&(p(sK22_skl)&~p(sK23_skl)))))&(sP11_prd|(~sP13_prd&(p(sK24_skl)|((![X]: ~p(X))|(![Y]: p(Y))))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl]),skolemize(X,sK22_skl),skolemize(Y,sK23_skl),skolemize(Y,sK24_skl)],[f118])).
% 0.09/0.45  fof(f120,plain,(
% 0.09/0.45    ![X0]: (~sP11_prd|sP13_prd|~p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.45  fof(f121,plain,(
% 0.09/0.45    ~sP11_prd|sP13_prd|p(sK22_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.45  fof(f123,plain,(
% 0.09/0.45    sP11_prd|~sP13_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.45  fof(f124,plain,(
% 0.09/0.45    ![X0,X1]: (sP11_prd|p(sK24_skl)|~p(X0)|p(X1))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.45  fof(f125,plain,(
% 0.09/0.45    ![X]: ((~sP12_prd(X)|(p(X)|c))&(sP12_prd(X)|(~p(X)&~c)))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f99])).
% 0.09/0.45  fof(f126,plain,(
% 0.09/0.45    (![X]: (~sP12_prd(X)|(p(X)|c)))&(![X]: (sP12_prd(X)|(~p(X)&~c)))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f125])).
% 0.09/0.45  fof(f127,plain,(
% 0.09/0.45    ![X0]: (~sP12_prd(X0)|p(X0)|c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f126])).
% 0.09/0.45  fof(f128,plain,(
% 0.09/0.45    ![X0]: (sP12_prd(X0)|~p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f126])).
% 0.09/0.45  fof(f129,plain,(
% 0.09/0.45    ![X0]: (sP12_prd(X0)|~c)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f126])).
% 0.09/0.45  fof(f130,definition,(
% 0.09/0.45    sP14_prd<=>((((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))|(?[Y]: ((![X]: p(X))&~p(Y))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.09/0.45  fof(f131,plain,(
% 0.09/0.45    sP13_prd<=>(sP14_prd|((![X]: p(X))&(![X]: ~p(X))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f115,f130])).
% 0.09/0.45  fof(f132,plain,(
% 0.09/0.45    (~sP13_prd|(sP14_prd|((![X]: p(X))&(![X]: ~p(X)))))&(sP13_prd|(~sP14_prd&((?[X]: ~p(X))|(?[X]: p(X)))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f131])).
% 0.09/0.45  fof(f133,plain,(
% 0.09/0.45    (~sP13_prd|(sP14_prd|((![X]: p(X))&(![X]: ~p(X)))))&(sP13_prd|(~sP14_prd&(~p(sK25_skl)|p(sK26_skl))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl,sK26_skl]),skolemize(X,sK25_skl),skolemize(X,sK26_skl)],[f132])).
% 0.09/0.45  fof(f134,plain,(
% 0.09/0.45    ![X0]: (~sP13_prd|sP14_prd|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f133])).
% 0.09/0.45  fof(f135,plain,(
% 0.09/0.45    ![X0]: (~sP13_prd|sP14_prd|~p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f133])).
% 0.09/0.45  fof(f136,plain,(
% 0.09/0.45    sP13_prd|~sP14_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f133])).
% 0.09/0.45  fof(f137,plain,(
% 0.09/0.45    sP13_prd|~p(sK25_skl)|p(sK26_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f133])).
% 0.09/0.45  fof(f138,definition,(
% 0.09/0.45    sP15_prd<=>(((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.09/0.45  fof(f139,plain,(
% 0.09/0.45    sP14_prd<=>(sP15_prd|(?[Y]: ((![X]: p(X))&~p(Y))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f130,f138])).
% 0.09/0.45  fof(f140,plain,(
% 0.09/0.45    (~sP14_prd|(sP15_prd|(?[Y]: ((![X]: p(X))&~p(Y)))))&(sP14_prd|(~sP15_prd&(![Y]: ((?[X]: ~p(X))|p(Y)))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f139])).
% 0.09/0.45  fof(f141,plain,(
% 0.09/0.45    (~sP14_prd|(sP15_prd|((![X]: p(X))&(?[Y]: ~p(Y)))))&(sP14_prd|(~sP15_prd&((?[X]: ~p(X))|(![Y]: p(Y)))))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f140])).
% 0.09/0.45  fof(f142,plain,(
% 0.09/0.45    (~sP14_prd|(sP15_prd|((![X]: p(X))&~p(sK27_skl))))&(sP14_prd|(~sP15_prd&(~p(sK28_skl)|(![Y]: p(Y)))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl,sK28_skl]),skolemize(Y,sK27_skl),skolemize(X,sK28_skl)],[f141])).
% 0.09/0.45  fof(f143,plain,(
% 0.09/0.45    ![X0]: (~sP14_prd|sP15_prd|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f142])).
% 0.09/0.45  fof(f144,plain,(
% 0.09/0.45    ~sP14_prd|sP15_prd|~p(sK27_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f142])).
% 0.09/0.45  fof(f145,plain,(
% 0.09/0.45    sP14_prd|~sP15_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f142])).
% 0.09/0.45  fof(f146,plain,(
% 0.09/0.45    ![X0]: (sP14_prd|~p(sK28_skl)|p(X0))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f142])).
% 0.09/0.45  fof(f147,definition,(
% 0.09/0.45    sP16_prd<=>((((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))|(![Y]: (p(Y)&(?[X]: ~p(X)))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.09/0.45  fof(f148,plain,(
% 0.09/0.45    sP15_prd<=>(sP16_prd|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f138,f147])).
% 0.09/0.45  fof(f149,plain,(
% 0.09/0.45    (~sP15_prd|(sP16_prd|((?[X]: (p(X)&q(X)))&((![X]: ~p(X))|(![X]: ~q(X))))))&(sP15_prd|(~sP16_prd&((![X]: (~p(X)|~q(X)))|((?[X]: p(X))&(?[X]: q(X))))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f148])).
% 0.09/0.45  fof(f150,plain,(
% 0.09/0.45    (~sP15_prd|(sP16_prd|((p(sK29_skl)&q(sK29_skl))&((![X]: ~p(X))|(![X]: ~q(X))))))&(sP15_prd|(~sP16_prd&((![X]: (~p(X)|~q(X)))|(p(sK30_skl)&q(sK31_skl)))))),
% 0.09/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl,sK31_skl]),skolemize(X,sK29_skl),skolemize(X,sK30_skl),skolemize(X,sK31_skl)],[f149])).
% 0.09/0.45  fof(f151,plain,(
% 0.09/0.45    ~sP15_prd|sP16_prd|p(sK29_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f150])).
% 0.09/0.45  fof(f152,plain,(
% 0.09/0.45    ~sP15_prd|sP16_prd|q(sK29_skl)),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f150])).
% 0.09/0.45  fof(f153,plain,(
% 0.09/0.45    ![X0,X1]: (~sP15_prd|sP16_prd|~p(X0)|~q(X1))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f150])).
% 0.09/0.45  fof(f154,plain,(
% 0.09/0.45    sP15_prd|~sP16_prd),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f150])).
% 0.09/0.45  fof(f155,plain,(
% 0.09/0.45    ![X0]: (sP15_prd|~p(X0)|~q(X0)|p(sK30_skl))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f150])).
% 0.09/0.45  fof(f156,plain,(
% 0.09/0.45    ![X0]: (sP15_prd|~p(X0)|~q(X0)|q(sK31_skl))),
% 0.09/0.45    inference(cnf_transformation,[status(thm)],[f150])).
% 0.09/0.45  fof(f157,definition,(
% 0.09/0.45    sP17_prd<=>(((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))),
% 0.09/0.45    introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.09/0.45  fof(f158,plain,(
% 0.09/0.45    sP16_prd<=>(sP17_prd|(![Y]: (p(Y)&(?[X]: ~p(X)))))),
% 0.09/0.45    inference(formula_renaming,[status(thm)],[f147,f157])).
% 0.09/0.45  fof(f159,plain,(
% 0.09/0.45    (~sP16_prd|(sP17_prd|(![Y]: (p(Y)&(?[X]: ~p(X))))))&(sP16_prd|(~sP17_prd&(?[Y]: (~p(Y)|(![X]: p(X))))))),
% 0.09/0.45    inference(NNF_transformation,[status(thm)],[f158])).
% 0.09/0.45  fof(f160,plain,(
% 0.09/0.45    (~sP16_prd|(sP17_prd|((![Y]: p(Y))&(?[X]: ~p(X)))))&(sP16_prd|(~sP17_prd&((?[Y]: ~p(Y))|(![X]: p(X)))))),
% 0.09/0.45    inference(miniscoping,[status(thm)],[f159])).
% 0.09/0.45  fof(f161,plain,(
% 0.09/0.45    (~sP16_prd|(sP17_prd|((![Y]: p(Y))&~p(sK32_skl))))&(sP16_prd|(~sP17_prd&(~p(sK33_skl)|(![X]: p(X)))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl,sK33_skl]),skolemize(X,sK32_skl),skolemize(Y,sK33_skl)],[f160])).
% 0.09/0.46  fof(f162,plain,(
% 0.09/0.46    ![X0]: (~sP16_prd|sP17_prd|p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f161])).
% 0.09/0.46  fof(f163,plain,(
% 0.09/0.46    ~sP16_prd|sP17_prd|~p(sK32_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f161])).
% 0.09/0.46  fof(f164,plain,(
% 0.09/0.46    sP16_prd|~sP17_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f161])).
% 0.09/0.46  fof(f165,plain,(
% 0.09/0.46    ![X0]: (sP16_prd|~p(sK33_skl)|p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f161])).
% 0.09/0.46  fof(f166,definition,(
% 0.09/0.46    sP18_prd<=>((((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.09/0.46  fof(f167,plain,(
% 0.09/0.46    sP17_prd<=>(sP18_prd|((?[X]: (p(X)|q(X)))<~>((?[X]: p(X))|(?[X]: q(X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f157,f166])).
% 0.09/0.46  fof(f168,definition,(
% 0.09/0.46    ![X]: (sP19_prd(X)<=>(p(X)|q(X)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.09/0.46  fof(f169,plain,(
% 0.09/0.46    sP17_prd<=>(sP18_prd|((?[X]: sP19_prd(X))<~>((?[X]: p(X))|(?[X]: q(X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f167,f168])).
% 0.09/0.46  fof(f170,plain,(
% 0.09/0.46    (~sP17_prd|(sP18_prd|(((?[X]: sP19_prd(X))|((?[X]: p(X))|(?[X]: q(X))))&((![X]: ~sP19_prd(X))|((![X]: ~p(X))&(![X]: ~q(X)))))))&(sP17_prd|(~sP18_prd&(((![X]: ~sP19_prd(X))|((?[X]: p(X))|(?[X]: q(X))))&((?[X]: sP19_prd(X))|((![X]: ~p(X))&(![X]: ~q(X)))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f169])).
% 0.09/0.46  fof(f171,plain,(
% 0.09/0.46    (~sP17_prd|(sP18_prd|((sP19_prd(sK34_skl)|(p(sK35_skl)|q(sK36_skl)))&((![X]: ~sP19_prd(X))|((![X]: ~p(X))&(![X]: ~q(X)))))))&(sP17_prd|(~sP18_prd&(((![X]: ~sP19_prd(X))|(p(sK37_skl)|q(sK38_skl)))&(sP19_prd(sK39_skl)|((![X]: ~p(X))&(![X]: ~q(X)))))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl]),skolemize(X,sK34_skl),skolemize(X,sK35_skl),skolemize(X,sK36_skl),skolemize(X,sK37_skl),skolemize(X,sK38_skl),skolemize(X,sK39_skl)],[f170])).
% 0.09/0.46  fof(f172,plain,(
% 0.09/0.46    ~sP17_prd|sP18_prd|sP19_prd(sK34_skl)|p(sK35_skl)|q(sK36_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f171])).
% 0.09/0.46  fof(f173,plain,(
% 0.09/0.46    ![X0,X1]: (~sP17_prd|sP18_prd|~sP19_prd(X0)|~p(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f171])).
% 0.09/0.46  fof(f174,plain,(
% 0.09/0.46    ![X0,X1]: (~sP17_prd|sP18_prd|~sP19_prd(X0)|~q(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f171])).
% 0.09/0.46  fof(f175,plain,(
% 0.09/0.46    sP17_prd|~sP18_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f171])).
% 0.09/0.46  fof(f176,plain,(
% 0.09/0.46    ![X0]: (sP17_prd|~sP19_prd(X0)|p(sK37_skl)|q(sK38_skl))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f171])).
% 0.09/0.46  fof(f177,plain,(
% 0.09/0.46    ![X0]: (sP17_prd|sP19_prd(sK39_skl)|~p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f171])).
% 0.09/0.46  fof(f179,definition,(
% 0.09/0.46    sP20_prd<=>(((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.09/0.46  fof(f180,plain,(
% 0.09/0.46    sP18_prd<=>(sP20_prd|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f166,f179])).
% 0.09/0.46  fof(f181,plain,(
% 0.09/0.46    (~sP18_prd|(sP20_prd|(((![X]: p(X))|(![X]: q(X)))&(?[X]: (~p(X)&~q(X))))))&(sP18_prd|(~sP20_prd&(((?[X]: ~p(X))&(?[X]: ~q(X)))|(![X]: (p(X)|q(X))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f180])).
% 0.09/0.46  fof(f182,plain,(
% 0.09/0.46    (~sP18_prd|(sP20_prd|(((![X]: p(X))|(![X]: q(X)))&(~p(sK40_skl)&~q(sK40_skl)))))&(sP18_prd|(~sP20_prd&((~p(sK41_skl)&~q(sK42_skl))|(![X]: (p(X)|q(X))))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl,sK41_skl,sK42_skl]),skolemize(X,sK40_skl),skolemize(X,sK41_skl),skolemize(X,sK42_skl)],[f181])).
% 0.09/0.46  fof(f183,plain,(
% 0.09/0.46    ![X0,X1]: (~sP18_prd|sP20_prd|p(X0)|q(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.46  fof(f184,plain,(
% 0.09/0.46    ~sP18_prd|sP20_prd|~p(sK40_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.46  fof(f185,plain,(
% 0.09/0.46    ~sP18_prd|sP20_prd|~q(sK40_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.46  fof(f186,plain,(
% 0.09/0.46    sP18_prd|~sP20_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.46  fof(f187,plain,(
% 0.09/0.46    ![X0]: (sP18_prd|~p(sK41_skl)|p(X0)|q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.46  fof(f189,plain,(
% 0.09/0.46    ![X]: ((~sP19_prd(X)|(p(X)|q(X)))&(sP19_prd(X)|(~p(X)&~q(X))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f168])).
% 0.09/0.46  fof(f190,plain,(
% 0.09/0.46    (![X]: (~sP19_prd(X)|(p(X)|q(X))))&(![X]: (sP19_prd(X)|(~p(X)&~q(X))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f189])).
% 0.09/0.46  fof(f191,plain,(
% 0.09/0.46    ![X0]: (~sP19_prd(X0)|p(X0)|q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.46  fof(f192,plain,(
% 0.09/0.46    ![X0]: (sP19_prd(X0)|~p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.46  fof(f193,plain,(
% 0.09/0.46    ![X0]: (sP19_prd(X0)|~q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.46  fof(f194,definition,(
% 0.09/0.46    sP21_prd<=>((((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.09/0.46  fof(f195,plain,(
% 0.09/0.46    sP20_prd<=>(sP21_prd|((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f179,f194])).
% 0.09/0.46  fof(f196,definition,(
% 0.09/0.46    ![X]: (sP22_prd(X)<=>(p(X)&q(X)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.09/0.46  fof(f197,plain,(
% 0.09/0.46    sP20_prd<=>(sP21_prd|((![X]: sP22_prd(X))<~>((![X]: p(X))&(![X]: q(X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f195,f196])).
% 0.09/0.46  fof(f198,plain,(
% 0.09/0.46    (~sP20_prd|(sP21_prd|(((![X]: sP22_prd(X))|((![X]: p(X))&(![X]: q(X))))&((?[X]: ~sP22_prd(X))|((?[X]: ~p(X))|(?[X]: ~q(X)))))))&(sP20_prd|(~sP21_prd&(((?[X]: ~sP22_prd(X))|((![X]: p(X))&(![X]: q(X))))&((![X]: sP22_prd(X))|((?[X]: ~p(X))|(?[X]: ~q(X)))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f197])).
% 0.09/0.46  fof(f199,plain,(
% 0.09/0.46    (~sP20_prd|(sP21_prd|(((![X]: sP22_prd(X))|((![X]: p(X))&(![X]: q(X))))&(~sP22_prd(sK43_skl)|(~p(sK44_skl)|~q(sK45_skl))))))&(sP20_prd|(~sP21_prd&((~sP22_prd(sK46_skl)|((![X]: p(X))&(![X]: q(X))))&((![X]: sP22_prd(X))|(~p(sK47_skl)|~q(sK48_skl))))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl,sK48_skl]),skolemize(X,sK43_skl),skolemize(X,sK44_skl),skolemize(X,sK45_skl),skolemize(X,sK46_skl),skolemize(X,sK47_skl),skolemize(X,sK48_skl)],[f198])).
% 0.09/0.46  fof(f200,plain,(
% 0.09/0.46    ![X0,X1]: (~sP20_prd|sP21_prd|sP22_prd(X0)|p(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f201,plain,(
% 0.09/0.46    ![X0,X1]: (~sP20_prd|sP21_prd|sP22_prd(X0)|q(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f202,plain,(
% 0.09/0.46    ~sP20_prd|sP21_prd|~sP22_prd(sK43_skl)|~p(sK44_skl)|~q(sK45_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f203,plain,(
% 0.09/0.46    sP20_prd|~sP21_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f204,plain,(
% 0.09/0.46    ![X0]: (sP20_prd|~sP22_prd(sK46_skl)|p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f205,plain,(
% 0.09/0.46    ![X0]: (sP20_prd|~sP22_prd(sK46_skl)|q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f206,plain,(
% 0.09/0.46    ![X0]: (sP20_prd|sP22_prd(X0)|~p(sK47_skl)|~q(sK48_skl))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f199])).
% 0.09/0.46  fof(f207,definition,(
% 0.09/0.46    sP23_prd<=>(((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.09/0.46  fof(f208,plain,(
% 0.09/0.46    sP21_prd<=>(sP23_prd|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f194,f207])).
% 0.09/0.46  fof(f209,plain,(
% 0.09/0.46    (~sP21_prd|(sP23_prd|(![X]: ?[Y]: ((~p(Y)|q(X))&(p(X)&~q(X))))))&(sP21_prd|(~sP23_prd&(?[X]: ![Y]: ((p(Y)&~q(X))|(~p(X)|q(X))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f208])).
% 0.09/0.46  fof(f210,plain,(
% 0.09/0.46    (~sP21_prd|(sP23_prd|(((?[Y]: ~p(Y))|(![X]: q(X)))&((![X]: p(X))&(![X]: ~q(X))))))&(sP21_prd|(~sP23_prd&(((![Y]: p(Y))&(?[X]: ~q(X)))|((?[X]: ~p(X))|(?[X]: q(X))))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f209])).
% 0.09/0.46  fof(f211,plain,(
% 0.09/0.46    (~sP21_prd|(sP23_prd|((~p(sK49_skl)|(![X]: q(X)))&((![X]: p(X))&(![X]: ~q(X))))))&(sP21_prd|(~sP23_prd&(((![Y]: p(Y))&~q(sK50_skl))|(~p(sK51_skl)|q(sK52_skl)))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(Y,sK49_skl),skolemize(X,sK50_skl),skolemize(X,sK51_skl),skolemize(X,sK52_skl)],[f210])).
% 0.09/0.46  fof(f212,plain,(
% 0.09/0.46    ![X0]: (~sP21_prd|sP23_prd|~p(sK49_skl)|q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f211])).
% 0.09/0.46  fof(f213,plain,(
% 0.09/0.46    ![X0]: (~sP21_prd|sP23_prd|p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f211])).
% 0.09/0.46  fof(f214,plain,(
% 0.09/0.46    ![X0]: (~sP21_prd|sP23_prd|~q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f211])).
% 0.09/0.46  fof(f215,plain,(
% 0.09/0.46    sP21_prd|~sP23_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f211])).
% 0.09/0.46  fof(f217,plain,(
% 0.09/0.46    sP21_prd|~q(sK50_skl)|~p(sK51_skl)|q(sK52_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f211])).
% 0.09/0.46  fof(f218,plain,(
% 0.09/0.46    ![X]: ((~sP22_prd(X)|(p(X)&q(X)))&(sP22_prd(X)|(~p(X)|~q(X))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f196])).
% 0.09/0.46  fof(f219,plain,(
% 0.09/0.46    (![X]: (~sP22_prd(X)|(p(X)&q(X))))&(![X]: (sP22_prd(X)|(~p(X)|~q(X))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f218])).
% 0.09/0.46  fof(f220,plain,(
% 0.09/0.46    ![X0]: (~sP22_prd(X0)|p(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f219])).
% 0.09/0.46  fof(f221,plain,(
% 0.09/0.46    ![X0]: (~sP22_prd(X0)|q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f219])).
% 0.09/0.46  fof(f222,plain,(
% 0.09/0.46    ![X0]: (sP22_prd(X0)|~p(X0)|~q(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f219])).
% 0.09/0.46  fof(f223,definition,(
% 0.09/0.46    sP24_prd<=>((((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.09/0.46  fof(f224,plain,(
% 0.09/0.46    sP23_prd<=>(sP24_prd|((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f207,f223])).
% 0.09/0.46  fof(f225,definition,(
% 0.09/0.46    sP25_prd<=>(((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.09/0.46  fof(f226,plain,(
% 0.09/0.46    sP23_prd<=>(sP24_prd|(sP25_prd&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f224,f225])).
% 0.09/0.46  fof(f227,definition,(
% 0.09/0.46    ![R]: (sP26_prd(R)<=>((~f(R)|~h(R))|g(R)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.09/0.46  fof(f228,plain,(
% 0.09/0.46    sP23_prd<=>(sP24_prd|(sP25_prd&((![R]: sP26_prd(R))&(![V]: ((~f(V)|~g(V))|h(V))))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f226,f227])).
% 0.09/0.46  fof(f229,plain,(
% 0.09/0.46    (~sP23_prd|(sP24_prd|(sP25_prd&((![R]: sP26_prd(R))&(![V]: ((~f(V)|~g(V))|h(V)))))))&(sP23_prd|(~sP24_prd&(~sP25_prd|((?[R]: ~sP26_prd(R))|(?[V]: ((f(V)&g(V))&~h(V)))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f228])).
% 0.09/0.46  fof(f230,plain,(
% 0.09/0.46    (~sP23_prd|(sP24_prd|(sP25_prd&((![R]: sP26_prd(R))&(![V]: ((~f(V)|~g(V))|h(V)))))))&(sP23_prd|(~sP24_prd&(~sP25_prd|(~sP26_prd(sK53_skl)|((f(sK54_skl)&g(sK54_skl))&~h(sK54_skl))))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl]),skolemize(R,sK53_skl),skolemize(V,sK54_skl)],[f229])).
% 0.09/0.46  fof(f231,plain,(
% 0.09/0.46    ~sP23_prd|sP24_prd|sP25_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f230])).
% 0.09/0.46  fof(f232,plain,(
% 0.09/0.46    ![X0]: (~sP23_prd|sP24_prd|sP26_prd(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f230])).
% 0.09/0.46  fof(f233,plain,(
% 0.09/0.46    ![X0]: (~sP23_prd|sP24_prd|~f(X0)|~g(X0)|h(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f230])).
% 0.09/0.46  fof(f234,plain,(
% 0.09/0.46    sP23_prd|~sP24_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f230])).
% 0.09/0.46  fof(f238,definition,(
% 0.09/0.46    sP27_prd<=>(((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.09/0.46  fof(f239,plain,(
% 0.09/0.46    sP24_prd<=>(sP27_prd|(((![X,Y]: (~r(X,Y)|r(Y,X)))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f223,f238])).
% 0.09/0.46  fof(f240,definition,(
% 0.09/0.46    ![X,Y]: (sP28_prd(Y,X)<=>(~r(X,Y)|r(Y,X)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.09/0.46  fof(f241,plain,(
% 0.09/0.46    sP24_prd<=>(sP27_prd|(((![X,Y]: sP28_prd(Y,X))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f239,f240])).
% 0.09/0.46  fof(f242,plain,(
% 0.09/0.46    (~sP24_prd|(sP27_prd|(((![X,Y]: sP28_prd(Y,X))&(![X,Y,Z]: ((~r(X,Y)|~r(Y,Z))|r(X,Z))))&(?[X,Y]: (r(X,Y)&~r(X,X))))))&(sP24_prd|(~sP27_prd&(((?[X,Y]: ~sP28_prd(Y,X))|(?[X,Y,Z]: ((r(X,Y)&r(Y,Z))&~r(X,Z))))|(![X,Y]: (~r(X,Y)|r(X,X))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f241])).
% 0.09/0.46  fof(f243,plain,(
% 0.09/0.46    (~sP24_prd|(sP27_prd|(((![X,Y]: sP28_prd(Y,X))&(![X,Z]: ((![Y]: (~r(X,Y)|~r(Y,Z)))|r(X,Z))))&(?[X]: ((?[Y]: r(X,Y))&~r(X,X))))))&(sP24_prd|(~sP27_prd&(((?[X,Y]: ~sP28_prd(Y,X))|(?[X,Z]: ((?[Y]: (r(X,Y)&r(Y,Z)))&~r(X,Z))))|(![X]: ((![Y]: ~r(X,Y))|r(X,X))))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f242])).
% 0.09/0.46  fof(f244,plain,(
% 0.09/0.46    (~sP24_prd|(sP27_prd|(((![X,Y]: sP28_prd(Y,X))&(![X,Z]: ((![Y]: (~r(X,Y)|~r(Y,Z)))|r(X,Z))))&(r(sK55_skl,sK56_skl)&~r(sK55_skl,sK55_skl)))))&(sP24_prd|(~sP27_prd&((~sP28_prd(sK58_skl,sK57_skl)|((r(sK59_skl,sK61_skl)&r(sK61_skl,sK60_skl))&~r(sK59_skl,sK60_skl)))|(![X]: ((![Y]: ~r(X,Y))|r(X,X))))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK55_skl,sK56_skl,sK57_skl,sK58_skl,sK59_skl,sK60_skl,sK61_skl]),skolemize(X,sK55_skl),skolemize(Y,sK56_skl),skolemize(X,sK57_skl),skolemize(Y,sK58_skl),skolemize(X,sK59_skl),skolemize(Z,sK60_skl),skolemize(Y,sK61_skl)],[f243])).
% 0.09/0.46  fof(f245,plain,(
% 0.09/0.46    ![X0,X1]: (~sP24_prd|sP27_prd|sP28_prd(X0,X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f244])).
% 0.09/0.46  fof(f246,plain,(
% 0.09/0.46    ![X0,X1,X2]: (~sP24_prd|sP27_prd|~r(X0,X1)|~r(X1,X2)|r(X0,X2))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f244])).
% 0.09/0.46  fof(f247,plain,(
% 0.09/0.46    ~sP24_prd|sP27_prd|r(sK55_skl,sK56_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f244])).
% 0.09/0.46  fof(f248,plain,(
% 0.09/0.46    ~sP24_prd|sP27_prd|~r(sK55_skl,sK55_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f244])).
% 0.09/0.46  fof(f249,plain,(
% 0.09/0.46    sP24_prd|~sP27_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f244])).
% 0.09/0.46  fof(f253,definition,(
% 0.09/0.46    sP29_prd<=>((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.09/0.46  fof(f254,plain,(
% 0.09/0.46    sP25_prd<=>(sP29_prd&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f225,f253])).
% 0.09/0.46  fof(f255,plain,(
% 0.09/0.46    (~sP25_prd|(sP29_prd&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z))))))&(sP25_prd|(~sP29_prd|((?[W]: (f(W)&~g(W)))&(?[Z]: (f(Z)&~h(Z))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f254])).
% 0.09/0.46  fof(f256,plain,(
% 0.09/0.46    (~sP25_prd|(sP29_prd&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z))))))&(sP25_prd|(~sP29_prd|((f(sK62_skl)&~g(sK62_skl))&(f(sK63_skl)&~h(sK63_skl)))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl,sK63_skl]),skolemize(W,sK62_skl),skolemize(Z,sK63_skl)],[f255])).
% 0.09/0.46  fof(f257,plain,(
% 0.09/0.46    ~sP25_prd|sP29_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f256])).
% 0.09/0.46  fof(f258,plain,(
% 0.09/0.46    ![X0,X1]: (~sP25_prd|~f(X0)|g(X0)|~f(X1)|h(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f256])).
% 0.09/0.46  fof(f263,plain,(
% 0.09/0.46    ![R]: ((~sP26_prd(R)|((~f(R)|~h(R))|g(R)))&(sP26_prd(R)|((f(R)&h(R))&~g(R))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f227])).
% 0.09/0.46  fof(f264,plain,(
% 0.09/0.46    (![R]: (~sP26_prd(R)|((~f(R)|~h(R))|g(R))))&(![R]: (sP26_prd(R)|((f(R)&h(R))&~g(R))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f263])).
% 0.09/0.46  fof(f265,plain,(
% 0.09/0.46    ![X0]: (~sP26_prd(X0)|~f(X0)|~h(X0)|g(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f264])).
% 0.09/0.46  fof(f269,definition,(
% 0.09/0.46    sP30_prd<=>((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.09/0.46  fof(f270,plain,(
% 0.09/0.46    sP27_prd<=>(sP30_prd&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f238,f269])).
% 0.09/0.46  fof(f271,definition,(
% 0.09/0.46    ![R]: (sP31_prd(R)<=>((~f(R)|~h(R))|g(R)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.09/0.46  fof(f272,plain,(
% 0.09/0.46    sP27_prd<=>(sP30_prd&((![R]: sP31_prd(R))&(![V]: ((~f(V)|~g(V))|h(V)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f270,f271])).
% 0.09/0.46  fof(f273,plain,(
% 0.09/0.46    (~sP27_prd|(sP30_prd&((![R]: sP31_prd(R))&(![V]: ((~f(V)|~g(V))|h(V))))))&(sP27_prd|(~sP30_prd|((?[R]: ~sP31_prd(R))|(?[V]: ((f(V)&g(V))&~h(V))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f272])).
% 0.09/0.46  fof(f274,plain,(
% 0.09/0.46    (~sP27_prd|(sP30_prd&((![R]: sP31_prd(R))&(![V]: ((~f(V)|~g(V))|h(V))))))&(sP27_prd|(~sP30_prd|(~sP31_prd(sK64_skl)|((f(sK65_skl)&g(sK65_skl))&~h(sK65_skl)))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK64_skl,sK65_skl]),skolemize(R,sK64_skl),skolemize(V,sK65_skl)],[f273])).
% 0.09/0.46  fof(f275,plain,(
% 0.09/0.46    ~sP27_prd|sP30_prd),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f274])).
% 0.09/0.46  fof(f276,plain,(
% 0.09/0.46    ![X0]: (~sP27_prd|sP31_prd(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f274])).
% 0.09/0.46  fof(f277,plain,(
% 0.09/0.46    ![X0]: (~sP27_prd|~f(X0)|~g(X0)|h(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f274])).
% 0.09/0.46  fof(f281,plain,(
% 0.09/0.46    ![X,Y]: ((~sP28_prd(Y,X)|(~r(X,Y)|r(Y,X)))&(sP28_prd(Y,X)|(r(X,Y)&~r(Y,X))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f240])).
% 0.09/0.46  fof(f282,plain,(
% 0.09/0.46    (![X,Y]: (~sP28_prd(Y,X)|(~r(X,Y)|r(Y,X))))&(![X,Y]: (sP28_prd(Y,X)|(r(X,Y)&~r(Y,X))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f281])).
% 0.09/0.46  fof(f283,plain,(
% 0.09/0.46    ![X0,X1]: (~sP28_prd(X0,X1)|~r(X1,X0)|r(X0,X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f282])).
% 0.09/0.46  fof(f286,definition,(
% 0.09/0.46    ![X]: (sP32_prd(X)<=>((f(X)&g(X))&~h(X)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.09/0.46  fof(f287,plain,(
% 0.09/0.46    sP29_prd<=>((?[X]: sP32_prd(X))|(?[X]: (f(X)&~g(X))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f253,f286])).
% 0.09/0.46  fof(f288,plain,(
% 0.09/0.46    (~sP29_prd|((?[X]: sP32_prd(X))|(?[X]: (f(X)&~g(X)))))&(sP29_prd|((![X]: ~sP32_prd(X))&(![X]: (~f(X)|g(X)))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f287])).
% 0.09/0.46  fof(f289,plain,(
% 0.09/0.46    (~sP29_prd|(sP32_prd(sK66_skl)|(f(sK67_skl)&~g(sK67_skl))))&(sP29_prd|((![X]: ~sP32_prd(X))&(![X]: (~f(X)|g(X)))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK66_skl,sK67_skl]),skolemize(X,sK66_skl),skolemize(X,sK67_skl)],[f288])).
% 0.09/0.46  fof(f290,plain,(
% 0.09/0.46    ~sP29_prd|sP32_prd(sK66_skl)|f(sK67_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f289])).
% 0.09/0.46  fof(f291,plain,(
% 0.09/0.46    ~sP29_prd|sP32_prd(sK66_skl)|~g(sK67_skl)),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f289])).
% 0.09/0.46  fof(f294,definition,(
% 0.09/0.46    ![X]: (sP33_prd(X)<=>(((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.09/0.46  fof(f295,plain,(
% 0.09/0.46    sP30_prd<=>((![X]: sP33_prd(X))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f269,f294])).
% 0.09/0.46  fof(f296,plain,(
% 0.09/0.46    (~sP30_prd|((![X]: sP33_prd(X))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z))))))&(sP30_prd|((?[X]: ~sP33_prd(X))|((?[W]: (f(W)&~g(W)))&(?[Z]: (f(Z)&~h(Z))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f295])).
% 0.09/0.46  fof(f297,plain,(
% 0.09/0.46    (~sP30_prd|((![X]: sP33_prd(X))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z))))))&(sP30_prd|(~sP33_prd(sK68_skl)|((f(sK69_skl)&~g(sK69_skl))&(f(sK70_skl)&~h(sK70_skl)))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK68_skl,sK69_skl,sK70_skl]),skolemize(X,sK68_skl),skolemize(W,sK69_skl),skolemize(Z,sK70_skl)],[f296])).
% 0.09/0.46  fof(f298,plain,(
% 0.09/0.46    ![X0]: (~sP30_prd|sP33_prd(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f297])).
% 0.09/0.46  fof(f299,plain,(
% 0.09/0.46    ![X0,X1]: (~sP30_prd|~f(X0)|g(X0)|~f(X1)|h(X1))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f297])).
% 0.09/0.46  fof(f304,plain,(
% 0.09/0.46    ![R]: ((~sP31_prd(R)|((~f(R)|~h(R))|g(R)))&(sP31_prd(R)|((f(R)&h(R))&~g(R))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f271])).
% 0.09/0.46  fof(f305,plain,(
% 0.09/0.46    (![R]: (~sP31_prd(R)|((~f(R)|~h(R))|g(R))))&(![R]: (sP31_prd(R)|((f(R)&h(R))&~g(R))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f304])).
% 0.09/0.46  fof(f306,plain,(
% 0.09/0.46    ![X0]: (~sP31_prd(X0)|~f(X0)|~h(X0)|g(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f305])).
% 0.09/0.46  fof(f310,plain,(
% 0.09/0.46    ![X]: ((~sP32_prd(X)|((f(X)&g(X))&~h(X)))&(sP32_prd(X)|((~f(X)|~g(X))|h(X))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f286])).
% 0.09/0.46  fof(f311,plain,(
% 0.09/0.46    (![X]: (~sP32_prd(X)|((f(X)&g(X))&~h(X))))&(![X]: (sP32_prd(X)|((~f(X)|~g(X))|h(X))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f310])).
% 0.09/0.46  fof(f312,plain,(
% 0.09/0.46    ![X0]: (~sP32_prd(X0)|f(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f311])).
% 0.09/0.46  fof(f314,plain,(
% 0.09/0.46    ![X0]: (~sP32_prd(X0)|~h(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f311])).
% 0.09/0.46  fof(f316,definition,(
% 0.09/0.46    ![X]: (sP34_prd(X)<=>((f(X)&g(X))&~h(X)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.09/0.46  fof(f317,plain,(
% 0.09/0.46    ![X]: (sP33_prd(X)<=>(sP34_prd(X)|(?[Y]: (f(Y)&~g(Y)))))),
% 0.09/0.46    inference(formula_renaming,[status(thm)],[f294,f316])).
% 0.09/0.46  fof(f318,plain,(
% 0.09/0.46    ![X]: ((~sP33_prd(X)|(sP34_prd(X)|(?[Y]: (f(Y)&~g(Y)))))&(sP33_prd(X)|(~sP34_prd(X)&(![Y]: (~f(Y)|g(Y))))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f317])).
% 0.09/0.46  fof(f319,plain,(
% 0.09/0.46    (![X]: (~sP33_prd(X)|(sP34_prd(X)|(?[Y]: (f(Y)&~g(Y))))))&(![X]: (sP33_prd(X)|(~sP34_prd(X)&(![Y]: (~f(Y)|g(Y))))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f318])).
% 0.09/0.46  fof(f320,plain,(
% 0.09/0.46    (![X]: (~sP33_prd(X)|(sP34_prd(X)|(f(sK71_skl(X))&~g(sK71_skl(X))))))&(![X]: (sP33_prd(X)|(~sP34_prd(X)&(![Y]: (~f(Y)|g(Y))))))),
% 0.09/0.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK71_skl]),skolemize(Y,sK71_skl(X))],[f319])).
% 0.09/0.46  fof(f321,plain,(
% 0.09/0.46    ![X0]: (~sP33_prd(X0)|sP34_prd(X0)|f(sK71_skl(X0)))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f320])).
% 0.09/0.46  fof(f322,plain,(
% 0.09/0.46    ![X0]: (~sP33_prd(X0)|sP34_prd(X0)|~g(sK71_skl(X0)))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f320])).
% 0.09/0.46  fof(f325,plain,(
% 0.09/0.46    ![X]: ((~sP34_prd(X)|((f(X)&g(X))&~h(X)))&(sP34_prd(X)|((~f(X)|~g(X))|h(X))))),
% 0.09/0.46    inference(NNF_transformation,[status(thm)],[f316])).
% 0.09/0.46  fof(f326,plain,(
% 0.09/0.46    (![X]: (~sP34_prd(X)|((f(X)&g(X))&~h(X))))&(![X]: (sP34_prd(X)|((~f(X)|~g(X))|h(X))))),
% 0.09/0.46    inference(miniscoping,[status(thm)],[f325])).
% 0.09/0.46  fof(f327,plain,(
% 0.09/0.46    ![X0]: (~sP34_prd(X0)|f(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f326])).
% 0.09/0.46  fof(f329,plain,(
% 0.09/0.46    ![X0]: (~sP34_prd(X0)|~h(X0))),
% 0.09/0.46    inference(cnf_transformation,[status(thm)],[f326])).
% 0.09/0.46  fof(f331,definition,(
% 0.09/0.46    sQ0_spl <=> (sP0_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f334,definition,(
% 0.09/0.46    ![X0]: (sQ1_spl <=> (~p(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f335,plain,(
% 0.09/0.46    ![X0]: (~p(X0)|~sQ1_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f334])).
% 0.09/0.46  fof(f337,definition,(
% 0.09/0.46    sQ2_spl <=> (c)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f340,plain,(
% 0.09/0.46    sQ0_spl|sQ1_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f9,f331,f334,f337])).
% 0.09/0.46  fof(f341,definition,(
% 0.09/0.46    sQ3_spl <=> (p(sK0_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f342,plain,(
% 0.09/0.46    p(sK0_skl)|~sQ3_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f341])).
% 0.09/0.46  fof(f344,definition,(
% 0.09/0.46    sQ4_spl <=> (p(sK1_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f345,plain,(
% 0.09/0.46    p(sK1_skl)|~sQ4_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f344])).
% 0.09/0.46  fof(f347,plain,(
% 0.09/0.46    sQ0_spl|sQ3_spl|sQ4_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f10,f331,f341,f344])).
% 0.09/0.46  fof(f350,plain,(
% 0.09/0.46    sQ0_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f13,f331,f337])).
% 0.09/0.46  fof(f351,definition,(
% 0.09/0.46    sQ5_spl <=> (sP1_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f354,definition,(
% 0.09/0.46    ![X0]: (sQ6_spl <=> (sP2_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f355,plain,(
% 0.09/0.46    ![X0]: (sP2_prd(X0)|~sQ6_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f354])).
% 0.09/0.46  fof(f357,definition,(
% 0.09/0.46    ![X1]: (sQ7_spl <=> (p(X1)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f358,plain,(
% 0.09/0.46    ![X0]: (p(X0)|~sQ7_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f357])).
% 0.09/0.46  fof(f360,plain,(
% 0.09/0.46    ~sQ0_spl|sQ5_spl|sQ6_spl|~sQ2_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f20,f331,f351,f354,f337,f357])).
% 0.09/0.46  fof(f361,definition,(
% 0.09/0.46    sQ8_spl <=> (sP2_prd(sK2_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f363,plain,(
% 0.09/0.46    ~sP2_prd(sK2_skl)|sQ8_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f361])).
% 0.09/0.46  fof(f364,plain,(
% 0.09/0.46    ~sQ0_spl|sQ5_spl|~sQ8_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f21,f331,f351,f361,f337])).
% 0.09/0.46  fof(f365,definition,(
% 0.09/0.46    sQ9_spl <=> (p(sK3_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f366,plain,(
% 0.09/0.46    p(sK3_skl)|~sQ9_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f365])).
% 0.09/0.46  fof(f367,plain,(
% 0.09/0.46    ~p(sK3_skl)|sQ9_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f365])).
% 0.09/0.46  fof(f368,plain,(
% 0.09/0.46    ~sQ0_spl|sQ5_spl|~sQ8_spl|~sQ9_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f22,f331,f351,f361,f365])).
% 0.09/0.46  fof(f369,plain,(
% 0.09/0.46    sQ0_spl|~sQ5_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f23,f331,f351])).
% 0.09/0.46  fof(f375,definition,(
% 0.09/0.46    sQ11_spl <=> (p(sK5_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f377,plain,(
% 0.09/0.46    ~p(sK5_skl)|sQ11_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f375])).
% 0.09/0.46  fof(f379,definition,(
% 0.09/0.46    sQ12_spl <=> (sP3_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f382,definition,(
% 0.09/0.46    sQ13_spl <=> (sP4_prd(sK6_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f383,plain,(
% 0.09/0.46    sP4_prd(sK6_skl)|~sQ13_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f382])).
% 0.09/0.46  fof(f385,definition,(
% 0.09/0.46    sQ14_spl <=> (p(sK7_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f386,plain,(
% 0.09/0.46    p(sK7_skl)|~sQ14_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f385])).
% 0.09/0.46  fof(f387,plain,(
% 0.09/0.46    ~p(sK7_skl)|sQ14_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f385])).
% 0.09/0.46  fof(f388,plain,(
% 0.09/0.46    ~sQ5_spl|sQ12_spl|sQ13_spl|~sQ14_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f33,f351,f379,f382,f385,f337])).
% 0.09/0.46  fof(f389,definition,(
% 0.09/0.46    ![X0]: (sQ15_spl <=> (~sP4_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f390,plain,(
% 0.09/0.46    ![X0]: (~sP4_prd(X0)|~sQ15_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f389])).
% 0.09/0.46  fof(f392,plain,(
% 0.09/0.46    ~sQ5_spl|sQ12_spl|sQ15_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f34,f351,f379,f389,f357])).
% 0.09/0.46  fof(f393,plain,(
% 0.09/0.46    ~sQ5_spl|sQ12_spl|sQ15_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f35,f351,f379,f389,f337])).
% 0.09/0.46  fof(f394,plain,(
% 0.09/0.46    sQ5_spl|~sQ12_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f36,f351,f379])).
% 0.09/0.46  fof(f395,definition,(
% 0.09/0.46    sQ16_spl <=> (p(sK8_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f397,plain,(
% 0.09/0.46    ~p(sK8_skl)|sQ16_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f395])).
% 0.09/0.46  fof(f399,definition,(
% 0.09/0.46    sQ17_spl <=> (sP4_prd(sK9_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f400,plain,(
% 0.09/0.46    sP4_prd(sK9_skl)|~sQ17_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f399])).
% 0.09/0.46  fof(f402,plain,(
% 0.09/0.46    sQ5_spl|sQ17_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f38,f351,f399,f357])).
% 0.09/0.46  fof(f404,definition,(
% 0.09/0.46    ![X0]: (sQ18_spl <=> (~sP2_prd(X0)|p(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f405,plain,(
% 0.09/0.46    ![X0]: (~sP2_prd(X0)|p(X0)|~sQ18_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f404])).
% 0.09/0.46  fof(f407,plain,(
% 0.09/0.46    sQ18_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f42,f404,f337])).
% 0.09/0.46  fof(f408,plain,(
% 0.09/0.46    sQ6_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f43,f354,f337])).
% 0.09/0.46  fof(f409,definition,(
% 0.09/0.46    sQ19_spl <=> (sP5_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f412,definition,(
% 0.09/0.46    sQ20_spl <=> (sP6_prd(sK10_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f413,plain,(
% 0.09/0.46    sP6_prd(sK10_skl)|~sQ20_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f412])).
% 0.09/0.46  fof(f415,definition,(
% 0.09/0.46    sQ21_spl <=> (p(sK11_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f416,plain,(
% 0.09/0.46    p(sK11_skl)|~sQ21_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f415])).
% 0.09/0.46  fof(f418,plain,(
% 0.09/0.46    ~sQ12_spl|sQ19_spl|sQ20_spl|~sQ2_spl|sQ21_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f51,f379,f409,f412,f337,f415])).
% 0.09/0.46  fof(f419,definition,(
% 0.09/0.46    ![X0]: (sQ22_spl <=> (~sP6_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f420,plain,(
% 0.09/0.46    ![X0]: (~sP6_prd(X0)|~sQ22_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f419])).
% 0.09/0.46  fof(f422,plain,(
% 0.09/0.46    ~sQ12_spl|sQ19_spl|sQ22_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f52,f379,f409,f419,f337])).
% 0.09/0.46  fof(f423,plain,(
% 0.09/0.46    ~sQ12_spl|sQ19_spl|sQ22_spl|sQ1_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f53,f379,f409,f419,f334])).
% 0.09/0.46  fof(f424,plain,(
% 0.09/0.46    sQ12_spl|~sQ19_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f54,f379,f409])).
% 0.09/0.46  fof(f425,definition,(
% 0.09/0.46    sQ23_spl <=> (p(sK12_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f426,plain,(
% 0.09/0.46    p(sK12_skl)|~sQ23_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f425])).
% 0.09/0.46  fof(f429,definition,(
% 0.09/0.46    sQ24_spl <=> (sP6_prd(sK13_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f430,plain,(
% 0.09/0.46    sP6_prd(sK13_skl)|~sQ24_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f429])).
% 0.09/0.46  fof(f433,plain,(
% 0.09/0.46    sQ12_spl|sQ24_spl|sQ1_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f57,f379,f429,f334])).
% 0.09/0.46  fof(f434,definition,(
% 0.09/0.46    ![X0]: (sQ25_spl <=> (~sP4_prd(X0)|~p(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f435,plain,(
% 0.09/0.46    ![X0]: (~sP4_prd(X0)|~p(X0)|~sQ25_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f434])).
% 0.09/0.46  fof(f437,plain,(
% 0.09/0.46    sQ25_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f60,f434,f337])).
% 0.09/0.46  fof(f438,definition,(
% 0.09/0.46    ![X0]: (sQ26_spl <=> (sP4_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f439,plain,(
% 0.09/0.46    ![X0]: (sP4_prd(X0)|~sQ26_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f438])).
% 0.09/0.46  fof(f441,plain,(
% 0.09/0.46    sQ26_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f62,f438,f337])).
% 0.09/0.46  fof(f442,definition,(
% 0.09/0.46    sQ27_spl <=> (sP7_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f445,plain,(
% 0.09/0.46    ~sQ19_spl|sQ27_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f66,f409,f442,f337])).
% 0.09/0.46  fof(f446,plain,(
% 0.09/0.46    ~sQ19_spl|sQ27_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f67,f409,f442,f337])).
% 0.09/0.46  fof(f447,plain,(
% 0.09/0.46    sQ19_spl|~sQ27_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f68,f409,f442])).
% 0.09/0.46  fof(f450,definition,(
% 0.09/0.46    ![X0]: (sQ28_spl <=> (~sP6_prd(X0)|p(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f451,plain,(
% 0.09/0.46    ![X0]: (~sP6_prd(X0)|p(X0)|~sQ28_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f450])).
% 0.09/0.46  fof(f453,plain,(
% 0.09/0.46    sQ28_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f73,f450,f337])).
% 0.09/0.46  fof(f454,definition,(
% 0.09/0.46    ![X0]: (sQ29_spl <=> (sP6_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f455,plain,(
% 0.09/0.46    ![X0]: (sP6_prd(X0)|~sQ29_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f454])).
% 0.09/0.46  fof(f457,plain,(
% 0.09/0.46    sQ29_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f74,f454,f337])).
% 0.09/0.46  fof(f458,definition,(
% 0.09/0.46    sQ30_spl <=> (sP8_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f461,plain,(
% 0.09/0.46    ~sQ27_spl|sQ30_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f79,f442,f458,f337])).
% 0.09/0.46  fof(f462,plain,(
% 0.09/0.46    ~sQ27_spl|sQ30_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f80,f442,f458,f337])).
% 0.09/0.46  fof(f463,plain,(
% 0.09/0.46    sQ27_spl|~sQ30_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f81,f442,f458])).
% 0.09/0.46  fof(f466,definition,(
% 0.09/0.46    sQ31_spl <=> (sP9_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f469,definition,(
% 0.09/0.46    sQ32_spl <=> (sP10_prd(sK14_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f470,plain,(
% 0.09/0.46    sP10_prd(sK14_skl)|~sQ32_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f469])).
% 0.09/0.46  fof(f472,definition,(
% 0.09/0.46    sQ33_spl <=> (p(sK15_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f473,plain,(
% 0.09/0.46    p(sK15_skl)|~sQ33_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f472])).
% 0.09/0.46  fof(f475,plain,(
% 0.09/0.46    ~sQ30_spl|sQ31_spl|sQ32_spl|sQ33_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f90,f458,f466,f469,f472])).
% 0.09/0.46  fof(f476,plain,(
% 0.09/0.46    ~sQ30_spl|sQ31_spl|sQ32_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f91,f458,f466,f469,f337])).
% 0.09/0.46  fof(f477,definition,(
% 0.09/0.46    ![X0]: (sQ34_spl <=> (~sP10_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f478,plain,(
% 0.09/0.46    ![X0]: (~sP10_prd(X0)|~sQ34_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f477])).
% 0.09/0.46  fof(f480,plain,(
% 0.09/0.46    ~sQ30_spl|sQ31_spl|sQ34_spl|sQ1_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f92,f458,f466,f477,f334,f337])).
% 0.09/0.46  fof(f481,plain,(
% 0.09/0.46    sQ30_spl|~sQ31_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f93,f458,f466])).
% 0.09/0.46  fof(f482,definition,(
% 0.09/0.46    sQ35_spl <=> (p(sK16_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f483,plain,(
% 0.09/0.46    p(sK16_skl)|~sQ35_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f482])).
% 0.09/0.46  fof(f487,definition,(
% 0.09/0.46    sQ36_spl <=> (sP10_prd(sK17_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f488,plain,(
% 0.09/0.46    sP10_prd(sK17_skl)|~sQ36_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f487])).
% 0.09/0.46  fof(f491,definition,(
% 0.09/0.46    sQ37_spl <=> (sP11_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f494,definition,(
% 0.09/0.46    ![X0]: (sQ38_spl <=> (sP12_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f495,plain,(
% 0.09/0.46    ![X0]: (sP12_prd(X0)|~sQ38_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f494])).
% 0.09/0.46  fof(f497,plain,(
% 0.09/0.46    ~sQ31_spl|sQ37_spl|sQ38_spl|sQ7_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f103,f466,f491,f494,f357,f337])).
% 0.09/0.46  fof(f498,definition,(
% 0.09/0.46    sQ39_spl <=> (sP12_prd(sK18_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f500,plain,(
% 0.09/0.46    ~sP12_prd(sK18_skl)|sQ39_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f498])).
% 0.09/0.46  fof(f501,definition,(
% 0.09/0.46    sQ40_spl <=> (p(sK19_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f503,plain,(
% 0.09/0.46    ~p(sK19_skl)|sQ40_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f501])).
% 0.09/0.46  fof(f504,plain,(
% 0.09/0.46    ~sQ31_spl|sQ37_spl|~sQ39_spl|~sQ40_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f104,f466,f491,f498,f501])).
% 0.09/0.46  fof(f505,plain,(
% 0.09/0.46    ~sQ31_spl|sQ37_spl|~sQ39_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f105,f466,f491,f498,f337])).
% 0.09/0.46  fof(f506,plain,(
% 0.09/0.46    sQ31_spl|~sQ37_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f106,f466,f491])).
% 0.09/0.46  fof(f507,definition,(
% 0.09/0.46    sQ41_spl <=> (sP12_prd(sK20_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f509,plain,(
% 0.09/0.46    ~sP12_prd(sK20_skl)|sQ41_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f507])).
% 0.09/0.46  fof(f511,definition,(
% 0.09/0.46    sQ42_spl <=> (p(sK21_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f513,plain,(
% 0.09/0.46    ~p(sK21_skl)|sQ42_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f511])).
% 0.09/0.46  fof(f516,plain,(
% 0.09/0.46    sQ34_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f113,f477,f337])).
% 0.09/0.46  fof(f517,definition,(
% 0.09/0.46    ![X0]: (sQ43_spl <=> (sP10_prd(X0)|~p(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f518,plain,(
% 0.09/0.46    ![X0]: (sP10_prd(X0)|~p(X0)|~sQ43_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f517])).
% 0.09/0.46  fof(f520,plain,(
% 0.09/0.46    sQ43_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f114,f517,f337])).
% 0.09/0.46  fof(f521,definition,(
% 0.09/0.46    sQ44_spl <=> (sP13_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f524,plain,(
% 0.09/0.46    ~sQ37_spl|sQ44_spl|sQ1_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f120,f491,f521,f334])).
% 0.09/0.46  fof(f525,definition,(
% 0.09/0.46    sQ45_spl <=> (p(sK22_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f526,plain,(
% 0.09/0.46    p(sK22_skl)|~sQ45_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f525])).
% 0.09/0.46  fof(f528,plain,(
% 0.09/0.46    ~sQ37_spl|sQ44_spl|sQ45_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f121,f491,f521,f525])).
% 0.09/0.46  fof(f529,definition,(
% 0.09/0.46    sQ46_spl <=> (p(sK23_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f531,plain,(
% 0.09/0.46    ~p(sK23_skl)|sQ46_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f529])).
% 0.09/0.46  fof(f533,plain,(
% 0.09/0.46    sQ37_spl|~sQ44_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f123,f491,f521])).
% 0.09/0.46  fof(f534,definition,(
% 0.09/0.46    sQ47_spl <=> (p(sK24_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f535,plain,(
% 0.09/0.46    p(sK24_skl)|~sQ47_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f534])).
% 0.09/0.46  fof(f537,plain,(
% 0.09/0.46    sQ37_spl|sQ47_spl|sQ1_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f124,f491,f534,f334,f357])).
% 0.09/0.46  fof(f538,definition,(
% 0.09/0.46    ![X0]: (sQ48_spl <=> (~sP12_prd(X0)|p(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f539,plain,(
% 0.09/0.46    ![X0]: (~sP12_prd(X0)|p(X0)|~sQ48_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f538])).
% 0.09/0.46  fof(f541,plain,(
% 0.09/0.46    sQ48_spl|sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f127,f538,f337])).
% 0.09/0.46  fof(f542,plain,(
% 0.09/0.46    sQ38_spl|~sQ2_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f129,f494,f337])).
% 0.09/0.46  fof(f543,definition,(
% 0.09/0.46    sQ49_spl <=> (sP14_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f546,plain,(
% 0.09/0.46    ~sQ44_spl|sQ49_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f134,f521,f543,f357])).
% 0.09/0.46  fof(f547,plain,(
% 0.09/0.46    ~sQ44_spl|sQ49_spl|sQ1_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f135,f521,f543,f334])).
% 0.09/0.46  fof(f548,plain,(
% 0.09/0.46    sQ44_spl|~sQ49_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f136,f521,f543])).
% 0.09/0.46  fof(f549,definition,(
% 0.09/0.46    sQ50_spl <=> (p(sK25_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f551,plain,(
% 0.09/0.46    ~p(sK25_skl)|sQ50_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f549])).
% 0.09/0.46  fof(f552,definition,(
% 0.09/0.46    sQ51_spl <=> (p(sK26_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f553,plain,(
% 0.09/0.46    p(sK26_skl)|~sQ51_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f552])).
% 0.09/0.46  fof(f555,plain,(
% 0.09/0.46    sQ44_spl|~sQ50_spl|sQ51_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f137,f521,f549,f552])).
% 0.09/0.46  fof(f556,definition,(
% 0.09/0.46    sQ52_spl <=> (sP15_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f559,plain,(
% 0.09/0.46    ~sQ49_spl|sQ52_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f143,f543,f556,f357])).
% 0.09/0.46  fof(f560,definition,(
% 0.09/0.46    sQ53_spl <=> (p(sK27_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f561,plain,(
% 0.09/0.46    p(sK27_skl)|~sQ53_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f560])).
% 0.09/0.46  fof(f562,plain,(
% 0.09/0.46    ~p(sK27_skl)|sQ53_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f560])).
% 0.09/0.46  fof(f563,plain,(
% 0.09/0.46    ~sQ49_spl|sQ52_spl|~sQ53_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f144,f543,f556,f560])).
% 0.09/0.46  fof(f564,plain,(
% 0.09/0.46    sQ49_spl|~sQ52_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f145,f543,f556])).
% 0.09/0.46  fof(f565,definition,(
% 0.09/0.46    sQ54_spl <=> (p(sK28_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f567,plain,(
% 0.09/0.46    ~p(sK28_skl)|sQ54_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f565])).
% 0.09/0.46  fof(f568,plain,(
% 0.09/0.46    sQ49_spl|~sQ54_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f146,f543,f565,f357])).
% 0.09/0.46  fof(f569,definition,(
% 0.09/0.46    sQ55_spl <=> (sP16_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f572,definition,(
% 0.09/0.46    sQ56_spl <=> (p(sK29_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f573,plain,(
% 0.09/0.46    p(sK29_skl)|~sQ56_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f572])).
% 0.09/0.46  fof(f575,plain,(
% 0.09/0.46    ~sQ52_spl|sQ55_spl|sQ56_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f151,f556,f569,f572])).
% 0.09/0.46  fof(f576,definition,(
% 0.09/0.46    sQ57_spl <=> (q(sK29_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f577,plain,(
% 0.09/0.46    q(sK29_skl)|~sQ57_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f576])).
% 0.09/0.46  fof(f579,plain,(
% 0.09/0.46    ~sQ52_spl|sQ55_spl|sQ57_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f152,f556,f569,f576])).
% 0.09/0.46  fof(f580,definition,(
% 0.09/0.46    ![X1]: (sQ58_spl <=> (~q(X1)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f581,plain,(
% 0.09/0.46    ![X0]: (~q(X0)|~sQ58_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f580])).
% 0.09/0.46  fof(f583,plain,(
% 0.09/0.46    ~sQ52_spl|sQ55_spl|sQ1_spl|sQ58_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f153,f556,f569,f334,f580])).
% 0.09/0.46  fof(f584,plain,(
% 0.09/0.46    sQ52_spl|~sQ55_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f154,f556,f569])).
% 0.09/0.46  fof(f585,definition,(
% 0.09/0.46    ![X0]: (sQ59_spl <=> (~p(X0)|~q(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f586,plain,(
% 0.09/0.46    ![X0]: (~p(X0)|~q(X0)|~sQ59_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f585])).
% 0.09/0.46  fof(f588,definition,(
% 0.09/0.46    sQ60_spl <=> (p(sK30_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f589,plain,(
% 0.09/0.46    p(sK30_skl)|~sQ60_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f588])).
% 0.09/0.46  fof(f591,plain,(
% 0.09/0.46    sQ52_spl|sQ59_spl|sQ60_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f155,f556,f585,f588])).
% 0.09/0.46  fof(f592,definition,(
% 0.09/0.46    sQ61_spl <=> (q(sK31_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f593,plain,(
% 0.09/0.46    q(sK31_skl)|~sQ61_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f592])).
% 0.09/0.46  fof(f595,plain,(
% 0.09/0.46    sQ52_spl|sQ59_spl|sQ61_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f156,f556,f585,f592])).
% 0.09/0.46  fof(f596,definition,(
% 0.09/0.46    sQ62_spl <=> (sP17_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f599,plain,(
% 0.09/0.46    ~sQ55_spl|sQ62_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f162,f569,f596,f357])).
% 0.09/0.46  fof(f600,definition,(
% 0.09/0.46    sQ63_spl <=> (p(sK32_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f602,plain,(
% 0.09/0.46    ~p(sK32_skl)|sQ63_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f600])).
% 0.09/0.46  fof(f603,plain,(
% 0.09/0.46    ~sQ55_spl|sQ62_spl|~sQ63_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f163,f569,f596,f600])).
% 0.09/0.46  fof(f604,plain,(
% 0.09/0.46    sQ55_spl|~sQ62_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f164,f569,f596])).
% 0.09/0.46  fof(f605,definition,(
% 0.09/0.46    sQ64_spl <=> (p(sK33_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f607,plain,(
% 0.09/0.46    ~p(sK33_skl)|sQ64_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f605])).
% 0.09/0.46  fof(f608,plain,(
% 0.09/0.46    sQ55_spl|~sQ64_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f165,f569,f605,f357])).
% 0.09/0.46  fof(f609,definition,(
% 0.09/0.46    sQ65_spl <=> (sP18_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f612,definition,(
% 0.09/0.46    sQ66_spl <=> (sP19_prd(sK34_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f613,plain,(
% 0.09/0.46    sP19_prd(sK34_skl)|~sQ66_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f612])).
% 0.09/0.46  fof(f614,plain,(
% 0.09/0.46    ~sP19_prd(sK34_skl)|sQ66_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f612])).
% 0.09/0.46  fof(f615,definition,(
% 0.09/0.46    sQ67_spl <=> (p(sK35_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f616,plain,(
% 0.09/0.46    p(sK35_skl)|~sQ67_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f615])).
% 0.09/0.46  fof(f618,definition,(
% 0.09/0.46    sQ68_spl <=> (q(sK36_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f619,plain,(
% 0.09/0.46    q(sK36_skl)|~sQ68_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f618])).
% 0.09/0.46  fof(f621,plain,(
% 0.09/0.46    ~sQ62_spl|sQ65_spl|sQ66_spl|sQ67_spl|sQ68_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f172,f596,f609,f612,f615,f618])).
% 0.09/0.46  fof(f622,definition,(
% 0.09/0.46    ![X0]: (sQ69_spl <=> (~sP19_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f623,plain,(
% 0.09/0.46    ![X0]: (~sP19_prd(X0)|~sQ69_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f622])).
% 0.09/0.46  fof(f625,plain,(
% 0.09/0.46    ~sQ62_spl|sQ65_spl|sQ69_spl|sQ1_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f173,f596,f609,f622,f334])).
% 0.09/0.46  fof(f626,plain,(
% 0.09/0.46    ~sQ62_spl|sQ65_spl|sQ69_spl|sQ58_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f174,f596,f609,f622,f580])).
% 0.09/0.46  fof(f627,plain,(
% 0.09/0.46    sQ62_spl|~sQ65_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f175,f596,f609])).
% 0.09/0.46  fof(f628,definition,(
% 0.09/0.46    sQ70_spl <=> (p(sK37_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f629,plain,(
% 0.09/0.46    p(sK37_skl)|~sQ70_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f628])).
% 0.09/0.46  fof(f631,definition,(
% 0.09/0.46    sQ71_spl <=> (q(sK38_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f632,plain,(
% 0.09/0.46    q(sK38_skl)|~sQ71_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f631])).
% 0.09/0.46  fof(f634,plain,(
% 0.09/0.46    sQ62_spl|sQ69_spl|sQ70_spl|sQ71_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f176,f596,f622,f628,f631])).
% 0.09/0.46  fof(f635,definition,(
% 0.09/0.46    sQ72_spl <=> (sP19_prd(sK39_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f636,plain,(
% 0.09/0.46    sP19_prd(sK39_skl)|~sQ72_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f635])).
% 0.09/0.46  fof(f638,plain,(
% 0.09/0.46    sQ62_spl|sQ72_spl|sQ1_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f177,f596,f635,f334])).
% 0.09/0.46  fof(f640,definition,(
% 0.09/0.46    sQ73_spl <=> (sP20_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f643,definition,(
% 0.09/0.46    ![X1]: (sQ74_spl <=> (q(X1)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f644,plain,(
% 0.09/0.46    ![X0]: (q(X0)|~sQ74_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f643])).
% 0.09/0.46  fof(f646,plain,(
% 0.09/0.46    ~sQ65_spl|sQ73_spl|sQ7_spl|sQ74_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f183,f609,f640,f357,f643])).
% 0.09/0.46  fof(f647,definition,(
% 0.09/0.46    sQ75_spl <=> (p(sK40_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f649,plain,(
% 0.09/0.46    ~p(sK40_skl)|sQ75_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f647])).
% 0.09/0.46  fof(f650,plain,(
% 0.09/0.46    ~sQ65_spl|sQ73_spl|~sQ75_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f184,f609,f640,f647])).
% 0.09/0.46  fof(f651,definition,(
% 0.09/0.46    sQ76_spl <=> (q(sK40_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f653,plain,(
% 0.09/0.46    ~q(sK40_skl)|sQ76_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f651])).
% 0.09/0.46  fof(f654,plain,(
% 0.09/0.46    ~sQ65_spl|sQ73_spl|~sQ76_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f185,f609,f640,f651])).
% 0.09/0.46  fof(f655,plain,(
% 0.09/0.46    sQ65_spl|~sQ73_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f186,f609,f640])).
% 0.09/0.46  fof(f656,definition,(
% 0.09/0.46    sQ77_spl <=> (p(sK41_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f658,plain,(
% 0.09/0.46    ~p(sK41_skl)|sQ77_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f656])).
% 0.09/0.46  fof(f659,definition,(
% 0.09/0.46    ![X0]: (sQ78_spl <=> (p(X0)|q(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f660,plain,(
% 0.09/0.46    ![X0]: (p(X0)|q(X0)|~sQ78_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f659])).
% 0.09/0.46  fof(f662,plain,(
% 0.09/0.46    sQ65_spl|~sQ77_spl|sQ78_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f187,f609,f656,f659])).
% 0.09/0.46  fof(f663,definition,(
% 0.09/0.46    sQ79_spl <=> (q(sK42_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f665,plain,(
% 0.09/0.46    ~q(sK42_skl)|sQ79_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f663])).
% 0.09/0.46  fof(f667,definition,(
% 0.09/0.46    sQ80_spl <=> (sP21_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f670,definition,(
% 0.09/0.46    ![X0]: (sQ81_spl <=> (sP22_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f671,plain,(
% 0.09/0.46    ![X0]: (sP22_prd(X0)|~sQ81_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f670])).
% 0.09/0.46  fof(f673,plain,(
% 0.09/0.46    ~sQ73_spl|sQ80_spl|sQ81_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f200,f640,f667,f670,f357])).
% 0.09/0.46  fof(f674,plain,(
% 0.09/0.46    ~sQ73_spl|sQ80_spl|sQ81_spl|sQ74_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f201,f640,f667,f670,f643])).
% 0.09/0.46  fof(f675,definition,(
% 0.09/0.46    sQ82_spl <=> (sP22_prd(sK43_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f676,plain,(
% 0.09/0.46    sP22_prd(sK43_skl)|~sQ82_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f675])).
% 0.09/0.46  fof(f677,plain,(
% 0.09/0.46    ~sP22_prd(sK43_skl)|sQ82_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f675])).
% 0.09/0.46  fof(f678,definition,(
% 0.09/0.46    sQ83_spl <=> (p(sK44_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f680,plain,(
% 0.09/0.46    ~p(sK44_skl)|sQ83_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f678])).
% 0.09/0.46  fof(f681,definition,(
% 0.09/0.46    sQ84_spl <=> (q(sK45_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f683,plain,(
% 0.09/0.46    ~q(sK45_skl)|sQ84_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f681])).
% 0.09/0.46  fof(f684,plain,(
% 0.09/0.46    ~sQ73_spl|sQ80_spl|~sQ82_spl|~sQ83_spl|~sQ84_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f202,f640,f667,f675,f678,f681])).
% 0.09/0.46  fof(f685,plain,(
% 0.09/0.46    sQ73_spl|~sQ80_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f203,f640,f667])).
% 0.09/0.46  fof(f686,definition,(
% 0.09/0.46    sQ85_spl <=> (sP22_prd(sK46_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f688,plain,(
% 0.09/0.46    ~sP22_prd(sK46_skl)|sQ85_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f686])).
% 0.09/0.46  fof(f689,plain,(
% 0.09/0.46    sQ73_spl|~sQ85_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f204,f640,f686,f357])).
% 0.09/0.46  fof(f690,plain,(
% 0.09/0.46    sQ73_spl|~sQ85_spl|sQ74_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f205,f640,f686,f643])).
% 0.09/0.46  fof(f691,definition,(
% 0.09/0.46    sQ86_spl <=> (p(sK47_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f693,plain,(
% 0.09/0.46    ~p(sK47_skl)|sQ86_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f691])).
% 0.09/0.46  fof(f694,definition,(
% 0.09/0.46    sQ87_spl <=> (q(sK48_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f696,plain,(
% 0.09/0.46    ~q(sK48_skl)|sQ87_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f694])).
% 0.09/0.46  fof(f697,plain,(
% 0.09/0.46    sQ73_spl|sQ81_spl|~sQ86_spl|~sQ87_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f206,f640,f670,f691,f694])).
% 0.09/0.46  fof(f698,definition,(
% 0.09/0.46    sQ88_spl <=> (sP23_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f701,definition,(
% 0.09/0.46    sQ89_spl <=> (p(sK49_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f703,plain,(
% 0.09/0.46    ~p(sK49_skl)|sQ89_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f701])).
% 0.09/0.46  fof(f704,plain,(
% 0.09/0.46    ~sQ80_spl|sQ88_spl|~sQ89_spl|sQ74_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f212,f667,f698,f701,f643])).
% 0.09/0.46  fof(f705,plain,(
% 0.09/0.46    ~sQ80_spl|sQ88_spl|sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f213,f667,f698,f357])).
% 0.09/0.46  fof(f706,plain,(
% 0.09/0.46    ~sQ80_spl|sQ88_spl|sQ58_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f214,f667,f698,f580])).
% 0.09/0.46  fof(f707,plain,(
% 0.09/0.46    sQ80_spl|~sQ88_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f215,f667,f698])).
% 0.09/0.46  fof(f708,definition,(
% 0.09/0.46    sQ90_spl <=> (p(sK51_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f710,plain,(
% 0.09/0.46    ~p(sK51_skl)|sQ90_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f708])).
% 0.09/0.46  fof(f711,definition,(
% 0.09/0.46    sQ91_spl <=> (q(sK52_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f712,plain,(
% 0.09/0.46    q(sK52_skl)|~sQ91_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f711])).
% 0.09/0.46  fof(f715,definition,(
% 0.09/0.46    sQ92_spl <=> (q(sK50_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f717,plain,(
% 0.09/0.46    ~q(sK50_skl)|sQ92_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f715])).
% 0.09/0.46  fof(f718,plain,(
% 0.09/0.46    sQ80_spl|~sQ92_spl|~sQ90_spl|sQ91_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f217,f667,f715,f708,f711])).
% 0.09/0.46  fof(f719,definition,(
% 0.09/0.46    sQ93_spl <=> (sP24_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f722,definition,(
% 0.09/0.46    sQ94_spl <=> (sP25_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f725,plain,(
% 0.09/0.46    ~sQ88_spl|sQ93_spl|sQ94_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f231,f698,f719,f722])).
% 0.09/0.46  fof(f726,definition,(
% 0.09/0.46    ![X0]: (sQ95_spl <=> (sP26_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f727,plain,(
% 0.09/0.46    ![X0]: (sP26_prd(X0)|~sQ95_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f726])).
% 0.09/0.46  fof(f729,plain,(
% 0.09/0.46    ~sQ88_spl|sQ93_spl|sQ95_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f232,f698,f719,f726])).
% 0.09/0.46  fof(f730,definition,(
% 0.09/0.46    ![X0]: (sQ96_spl <=> (~f(X0)|~g(X0)|h(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f731,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|~g(X0)|h(X0)|~sQ96_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f730])).
% 0.09/0.46  fof(f733,plain,(
% 0.09/0.46    ~sQ88_spl|sQ93_spl|sQ96_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f233,f698,f719,f730])).
% 0.09/0.46  fof(f734,plain,(
% 0.09/0.46    sQ88_spl|~sQ93_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f234,f698,f719])).
% 0.09/0.46  fof(f735,definition,(
% 0.09/0.46    sQ97_spl <=> (sP26_prd(sK53_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f737,plain,(
% 0.09/0.46    ~sP26_prd(sK53_skl)|sQ97_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f735])).
% 0.09/0.46  fof(f750,definition,(
% 0.09/0.46    sQ101_spl <=> (sP27_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f753,definition,(
% 0.09/0.46    ![X0,X1]: (sQ102_spl <=> (sP28_prd(X0,X1)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f754,plain,(
% 0.09/0.46    ![X0,X1]: (sP28_prd(X0,X1)|~sQ102_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f753])).
% 0.09/0.46  fof(f756,plain,(
% 0.09/0.46    ~sQ93_spl|sQ101_spl|sQ102_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f245,f719,f750,f753])).
% 0.09/0.46  fof(f757,definition,(
% 0.09/0.46    ![X0,X1,X2]: (sQ103_spl <=> (~r(X0,X1)|~r(X1,X2)|r(X0,X2)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f758,plain,(
% 0.09/0.46    ![X0,X1,X2]: (~r(X0,X1)|~r(X1,X2)|r(X0,X2)|~sQ103_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f757])).
% 0.09/0.46  fof(f760,plain,(
% 0.09/0.46    ~sQ93_spl|sQ101_spl|sQ103_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f246,f719,f750,f757])).
% 0.09/0.46  fof(f761,definition,(
% 0.09/0.46    sQ104_spl <=> (r(sK55_skl,sK56_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f762,plain,(
% 0.09/0.46    r(sK55_skl,sK56_skl)|~sQ104_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f761])).
% 0.09/0.46  fof(f764,plain,(
% 0.09/0.46    ~sQ93_spl|sQ101_spl|sQ104_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f247,f719,f750,f761])).
% 0.09/0.46  fof(f765,definition,(
% 0.09/0.46    sQ105_spl <=> (r(sK55_skl,sK55_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f767,plain,(
% 0.09/0.46    ~r(sK55_skl,sK55_skl)|sQ105_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f765])).
% 0.09/0.46  fof(f768,plain,(
% 0.09/0.46    ~sQ93_spl|sQ101_spl|~sQ105_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f248,f719,f750,f765])).
% 0.09/0.46  fof(f769,plain,(
% 0.09/0.46    sQ93_spl|~sQ101_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f249,f719,f750])).
% 0.09/0.46  fof(f788,definition,(
% 0.09/0.46    sQ111_spl <=> (sP29_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f791,plain,(
% 0.09/0.46    ~sQ94_spl|sQ111_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f257,f722,f788])).
% 0.09/0.46  fof(f792,definition,(
% 0.09/0.46    ![X0]: (sQ112_spl <=> (~f(X0)|g(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f793,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|g(X0)|~sQ112_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f792])).
% 0.09/0.46  fof(f795,definition,(
% 0.09/0.46    ![X1]: (sQ113_spl <=> (~f(X1)|h(X1)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f796,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|h(X0)|~sQ113_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f795])).
% 0.09/0.46  fof(f798,plain,(
% 0.09/0.46    ~sQ94_spl|sQ112_spl|sQ113_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f258,f722,f792,f795])).
% 0.09/0.46  fof(f815,definition,(
% 0.09/0.46    sQ118_spl <=> (sP30_prd)),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f818,plain,(
% 0.09/0.46    ~sQ101_spl|sQ118_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f275,f750,f815])).
% 0.09/0.46  fof(f819,definition,(
% 0.09/0.46    ![X0]: (sQ119_spl <=> (sP31_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f820,plain,(
% 0.09/0.46    ![X0]: (sP31_prd(X0)|~sQ119_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f819])).
% 0.09/0.46  fof(f822,plain,(
% 0.09/0.46    ~sQ101_spl|sQ119_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f276,f750,f819])).
% 0.09/0.46  fof(f823,plain,(
% 0.09/0.46    ~sQ101_spl|sQ96_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f277,f750,f730])).
% 0.09/0.46  fof(f839,definition,(
% 0.09/0.46    sQ124_spl <=> (sP32_prd(sK66_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f840,plain,(
% 0.09/0.46    sP32_prd(sK66_skl)|~sQ124_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f839])).
% 0.09/0.46  fof(f842,definition,(
% 0.09/0.46    sQ125_spl <=> (f(sK67_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f843,plain,(
% 0.09/0.46    f(sK67_skl)|~sQ125_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f842])).
% 0.09/0.46  fof(f845,plain,(
% 0.09/0.46    ~sQ111_spl|sQ124_spl|sQ125_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f290,f788,f839,f842])).
% 0.09/0.46  fof(f846,definition,(
% 0.09/0.46    sQ126_spl <=> (g(sK67_skl))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f848,plain,(
% 0.09/0.46    ~g(sK67_skl)|sQ126_spl),
% 0.09/0.46    inference(component_clause,[status(thm)],[f846])).
% 0.09/0.46  fof(f849,plain,(
% 0.09/0.46    ~sQ111_spl|sQ124_spl|~sQ126_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f291,f788,f839,f846])).
% 0.09/0.46  fof(f855,definition,(
% 0.09/0.46    ![X0]: (sQ128_spl <=> (sP33_prd(X0)))),
% 0.09/0.46    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.09/0.46  fof(f856,plain,(
% 0.09/0.46    ![X0]: (sP33_prd(X0)|~sQ128_spl)),
% 0.09/0.46    inference(component_clause,[status(thm)],[f855])).
% 0.09/0.46  fof(f858,plain,(
% 0.09/0.46    ~sQ118_spl|sQ128_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f298,f815,f855])).
% 0.09/0.46  fof(f859,plain,(
% 0.09/0.46    ~sQ118_spl|sQ112_spl|sQ113_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f299,f815,f792,f795])).
% 0.09/0.46  fof(f880,plain,(
% 0.09/0.46    ![X0]: (sP22_prd(X0)|~q(X0)|~sQ7_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f222,f358])).
% 0.09/0.46  fof(f881,plain,(
% 0.09/0.46    ![X0]: (sP19_prd(X0)|~sQ7_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f192,f358])).
% 0.09/0.46  fof(f882,plain,(
% 0.09/0.46    ![X0]: (sP12_prd(X0)|~sQ7_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f128,f358])).
% 0.09/0.46  fof(f883,plain,(
% 0.09/0.46    ![X0]: (sP6_prd(X0)|~sQ7_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f75,f358])).
% 0.09/0.46  fof(f884,plain,(
% 0.09/0.46    ![X0]: (sP2_prd(X0)|~sQ7_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f44,f358])).
% 0.09/0.46  fof(f885,plain,(
% 0.09/0.46    $false|~sQ7_spl|~sQ1_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f335,f358])).
% 0.09/0.46  fof(f886,plain,(
% 0.09/0.46    ~sQ7_spl|~sQ1_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f885])).
% 0.09/0.46  fof(f890,plain,(
% 0.09/0.46    $false|~sQ58_spl|~sQ74_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f644,f581])).
% 0.09/0.46  fof(f891,plain,(
% 0.09/0.46    ~sQ58_spl|~sQ74_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f890])).
% 0.09/0.46  fof(f892,plain,(
% 0.09/0.46    ![X0]: (sP34_prd(X0)|~g(sK71_skl(X0))|~sQ128_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f322,f856])).
% 0.09/0.46  fof(f893,plain,(
% 0.09/0.46    ![X0]: (sP34_prd(X0)|f(sK71_skl(X0))|~sQ128_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f321,f856])).
% 0.09/0.46  fof(f894,plain,(
% 0.09/0.46    ![X0]: (~p(X0)|~sQ34_spl|~sQ43_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f518,f478])).
% 0.09/0.46  fof(f895,plain,(
% 0.09/0.46    ![X0]: (~sP6_prd(X0)|~sQ34_spl|~sQ43_spl|~sQ28_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f451,f894])).
% 0.09/0.46  fof(f897,plain,(
% 0.09/0.46    ![X0]: (p(X0)|~sQ6_spl|~sQ18_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f405,f355])).
% 0.09/0.46  fof(f898,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|h(X0)|~sQ112_spl|~sQ96_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f731,f793])).
% 0.09/0.46  fof(f899,plain,(
% 0.09/0.46    $false|~sQ34_spl|~sQ43_spl|~sQ28_spl|~sQ29_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f455,f895])).
% 0.09/0.46  fof(f900,plain,(
% 0.09/0.46    ~sQ34_spl|~sQ43_spl|~sQ28_spl|~sQ29_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f899])).
% 0.09/0.46  fof(f901,plain,(
% 0.09/0.46    ![X0]: (~q(X0)|~sQ69_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f193,f623])).
% 0.09/0.46  fof(f903,plain,(
% 0.09/0.46    $false|~sQ26_spl|~sQ25_spl|~sQ6_spl|~sQ18_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f897,f904])).
% 0.09/0.46  fof(f904,plain,(
% 0.09/0.46    ![X0]: (~p(X0)|~sQ26_spl|~sQ25_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f435,f439])).
% 0.09/0.46  fof(f905,plain,(
% 0.09/0.46    ~sQ26_spl|~sQ25_spl|~sQ6_spl|~sQ18_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f903])).
% 0.09/0.46  fof(f906,plain,(
% 0.09/0.46    ![X0]: (~p(X0)|~sQ69_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f192,f623])).
% 0.09/0.46  fof(f909,plain,(
% 0.09/0.46    ![X0]: (p(X0)|~sQ38_spl|~sQ48_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f539,f495])).
% 0.09/0.46  fof(f911,plain,(
% 0.09/0.46    ![X0]: (~sP4_prd(X0)|~sQ38_spl|~sQ48_spl|~sQ25_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f435,f909])).
% 0.09/0.46  fof(f915,plain,(
% 0.09/0.46    ~h(sK66_skl)|~sQ124_spl),
% 0.09/0.46    inference(resolution,[status(thm)],[f840,f314])).
% 0.09/0.46  fof(f917,plain,(
% 0.09/0.46    f(sK66_skl)|~sQ124_spl),
% 0.09/0.46    inference(resolution,[status(thm)],[f840,f312])).
% 0.09/0.46  fof(f924,plain,(
% 0.09/0.46    ![X0]: (sP34_prd(X0)|g(sK71_skl(X0))|~sQ128_spl|~sQ112_spl)),
% 0.09/0.46    inference(resolution,[status(thm)],[f893,f793])).
% 0.09/0.46  fof(f925,plain,(
% 0.09/0.46    ![X0]: (~h(X0)|~sQ128_spl|~sQ112_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f329,f928])).
% 0.09/0.46  fof(f927,plain,(
% 0.09/0.46    ![X0]: (f(X0)|~sQ128_spl|~sQ112_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f327,f928])).
% 0.09/0.46  fof(f928,plain,(
% 0.09/0.46    ![X0]: (sP34_prd(X0)|~sQ128_spl|~sQ112_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f924,f892])).
% 0.09/0.46  fof(f929,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|~sQ128_spl|~sQ112_spl|~sQ96_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f898,f925])).
% 0.09/0.46  fof(f932,plain,(
% 0.09/0.46    $false|~sQ128_spl|~sQ112_spl|~sQ96_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f929,f927])).
% 0.09/0.46  fof(f933,plain,(
% 0.09/0.46    ~sQ128_spl|~sQ112_spl|~sQ96_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f932])).
% 0.09/0.46  fof(f934,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|~h(X0)|g(X0)|~sQ119_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f306,f820])).
% 0.09/0.46  fof(f939,plain,(
% 0.09/0.46    $false|~sQ29_spl|~sQ22_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f420,f455])).
% 0.09/0.46  fof(f940,plain,(
% 0.09/0.46    ~sQ29_spl|~sQ22_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f939])).
% 0.09/0.46  fof(f941,plain,(
% 0.09/0.46    ![X0]: (q(X0)|~sQ81_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f221,f671])).
% 0.09/0.46  fof(f942,plain,(
% 0.09/0.46    $false|~sQ81_spl|sQ85_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f688,f671])).
% 0.09/0.46  fof(f943,plain,(
% 0.09/0.46    ~sQ81_spl|sQ85_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f942])).
% 0.09/0.46  fof(f944,plain,(
% 0.09/0.46    $false|~sQ38_spl|~sQ48_spl|sQ90_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f710,f909])).
% 0.09/0.46  fof(f945,plain,(
% 0.09/0.46    ~sQ38_spl|~sQ48_spl|sQ90_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f944])).
% 0.09/0.46  fof(f946,plain,(
% 0.09/0.46    sQ6_spl|~sQ7_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f884,f354,f357])).
% 0.09/0.46  fof(f947,plain,(
% 0.09/0.46    $false|~sQ7_spl|sQ50_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f551,f358])).
% 0.09/0.46  fof(f948,plain,(
% 0.09/0.46    ![X0]: (~q(X0)|~sQ7_spl|~sQ59_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f586,f358])).
% 0.09/0.46  fof(f952,plain,(
% 0.09/0.46    ![X0]: (sP22_prd(X0)|~sQ74_spl|~sQ7_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f880,f644])).
% 0.09/0.46  fof(f953,plain,(
% 0.09/0.46    $false|~sQ7_spl|sQ86_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f693,f358])).
% 0.09/0.46  fof(f954,plain,(
% 0.09/0.46    ~sQ7_spl|sQ86_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f953])).
% 0.09/0.46  fof(f956,plain,(
% 0.09/0.46    $false|~sQ1_spl|~sQ70_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f629,f335])).
% 0.09/0.46  fof(f957,plain,(
% 0.09/0.46    ![X0]: (q(X0)|~sQ1_spl|~sQ78_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f660,f335])).
% 0.09/0.46  fof(f958,plain,(
% 0.09/0.46    ![X0]: (~sP6_prd(X0)|~sQ1_spl|~sQ28_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f451,f335])).
% 0.09/0.46  fof(f961,plain,(
% 0.09/0.46    ![X0]: (~sP10_prd(X0)|~sQ1_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f112,f335])).
% 0.09/0.46  fof(f962,plain,(
% 0.09/0.46    $false|~sQ58_spl|~sQ91_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f712,f581])).
% 0.09/0.46  fof(f963,plain,(
% 0.09/0.46    ~sQ1_spl|~sQ70_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f956])).
% 0.09/0.46  fof(f964,plain,(
% 0.09/0.46    $false|~sQ26_spl|~sQ15_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f390,f439])).
% 0.09/0.46  fof(f965,plain,(
% 0.09/0.46    ~sQ26_spl|~sQ15_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f964])).
% 0.09/0.46  fof(f966,plain,(
% 0.09/0.46    sQ74_spl|~sQ1_spl|~sQ78_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f957,f643,f334,f659])).
% 0.09/0.46  fof(f967,plain,(
% 0.09/0.46    $false|~sQ1_spl|~sQ3_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f342,f335])).
% 0.09/0.46  fof(f969,plain,(
% 0.09/0.46    ~sQ58_spl|~sQ91_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f962])).
% 0.09/0.46  fof(f970,plain,(
% 0.09/0.46    ![X0]: (~f(X0)|g(X0)|~sQ113_spl|~sQ119_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f934,f796])).
% 0.09/0.46  fof(f973,plain,(
% 0.09/0.46    sQ112_spl|~sQ113_spl|~sQ119_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f970,f792,f795,f819])).
% 0.09/0.46  fof(f976,plain,(
% 0.09/0.46    ![X0,X1]: (~r(X0,X1)|r(X1,X0)|~sQ102_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f283,f754])).
% 0.09/0.46  fof(f977,plain,(
% 0.09/0.46    ![X0]: (~sP26_prd(X0)|~f(X0)|g(X0)|~sQ113_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f265,f796])).
% 0.09/0.46  fof(f982,plain,(
% 0.09/0.46    sQ58_spl|~sQ7_spl|~sQ59_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f948,f580,f357,f585])).
% 0.09/0.46  fof(f983,plain,(
% 0.09/0.46    $false|~sQ38_spl|sQ39_spl),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f500,f495])).
% 0.09/0.46  fof(f984,plain,(
% 0.09/0.46    ~sQ38_spl|sQ39_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f983])).
% 0.09/0.46  fof(f985,plain,(
% 0.09/0.46    ~sQ7_spl|sQ50_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f947])).
% 0.09/0.46  fof(f986,plain,(
% 0.09/0.46    $false|~sQ74_spl|sQ87_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f696,f644])).
% 0.09/0.46  fof(f987,plain,(
% 0.09/0.46    $false|~sQ74_spl|sQ79_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f665,f644])).
% 0.09/0.46  fof(f993,plain,(
% 0.09/0.46    $false|~sQ1_spl|~sQ51_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f553,f335])).
% 0.09/0.46  fof(f994,plain,(
% 0.09/0.46    $false|~sQ1_spl|~sQ45_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f526,f335])).
% 0.09/0.46  fof(f995,plain,(
% 0.09/0.46    ![X0]: (sP4_prd(X0)|~sQ1_spl)),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f61,f335])).
% 0.09/0.46  fof(f998,plain,(
% 0.09/0.46    sQ58_spl|~sQ69_spl),
% 0.09/0.46    inference(split_clause,[status(thm)],[f901,f580,f622])).
% 0.09/0.46  fof(f1000,plain,(
% 0.09/0.46    ~sQ74_spl|sQ87_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f986])).
% 0.09/0.46  fof(f1001,plain,(
% 0.09/0.46    ![X0]: (~sP19_prd(X0)|p(X0)|~sQ58_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f191,f581])).
% 0.09/0.46  fof(f1006,plain,(
% 0.09/0.46    ![X0]: (~r(sK55_skl,X0)|~r(X0,sK55_skl)|sQ105_spl|~sQ103_spl)),
% 0.09/0.46    inference(resolution,[status(thm)],[f767,f758])).
% 0.09/0.46  fof(f1007,plain,(
% 0.09/0.46    ![X0]: (~r(X0,sK55_skl)|~sQ102_spl|sQ105_spl|~sQ103_spl)),
% 0.09/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1006,f976])).
% 0.09/0.46  fof(f1010,plain,(
% 0.09/0.46    ![X0]: (~r(sK55_skl,X0)|~sQ102_spl|sQ105_spl|~sQ103_spl)),
% 0.09/0.46    inference(resolution,[status(thm)],[f976,f1007])).
% 0.09/0.46  fof(f1012,plain,(
% 0.09/0.46    $false|~sQ102_spl|sQ105_spl|~sQ103_spl|~sQ104_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f762,f1010])).
% 0.09/0.46  fof(f1013,plain,(
% 0.09/0.46    ~sQ102_spl|sQ105_spl|~sQ103_spl|~sQ104_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f1012])).
% 0.09/0.46  fof(f1014,plain,(
% 0.09/0.46    ~sQ74_spl|sQ79_spl),
% 0.09/0.46    inference(contradiction_clause,[status(thm)],[f987])).
% 0.09/0.46  fof(f1015,plain,(
% 0.09/0.46    $false|~sQ95_spl|sQ97_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f737,f727])).
% 0.09/0.46  fof(f1016,plain,(
% 0.09/0.46    $false|~sQ6_spl|sQ8_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f363,f355])).
% 0.09/0.46  fof(f1017,plain,(
% 0.09/0.46    $false|~sQ34_spl|~sQ36_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f488,f478])).
% 0.09/0.46  fof(f1018,plain,(
% 0.09/0.46    $false|~sQ34_spl|~sQ32_spl),
% 0.09/0.46    inference(backward_subsumption_resolution,[status(thm)],[f470,f478])).
% 0.09/0.47  fof(f1019,plain,(
% 0.09/0.47    $false|~sQ15_spl|~sQ13_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f383,f390])).
% 0.09/0.47  fof(f1020,plain,(
% 0.09/0.47    $false|~sQ15_spl|~sQ17_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f400,f390])).
% 0.09/0.47  fof(f1024,plain,(
% 0.09/0.47    $false|~sQ15_spl|sQ14_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f387,f1039])).
% 0.09/0.47  fof(f1039,plain,(
% 0.09/0.47    ![X0]: (p(X0)|~sQ15_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f61,f390])).
% 0.09/0.47  fof(f1040,plain,(
% 0.09/0.47    ![X0]: (~f(X0)|g(X0)|~sQ95_spl|~sQ113_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f977,f727])).
% 0.09/0.47  fof(f1041,plain,(
% 0.09/0.47    ~sQ95_spl|sQ97_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1015])).
% 0.09/0.47  fof(f1042,plain,(
% 0.09/0.47    ~sQ6_spl|sQ8_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1016])).
% 0.09/0.47  fof(f1043,plain,(
% 0.09/0.47    ~sQ34_spl|~sQ36_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1017])).
% 0.09/0.47  fof(f1044,plain,(
% 0.09/0.47    $false|~sQ38_spl|sQ41_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f509,f495])).
% 0.09/0.47  fof(f1046,plain,(
% 0.09/0.47    $false|~sQ22_spl|~sQ4_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f345,f1060])).
% 0.09/0.47  fof(f1049,plain,(
% 0.09/0.47    $false|~sQ22_spl|~sQ60_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f589,f1060])).
% 0.09/0.47  fof(f1054,plain,(
% 0.09/0.47    $false|~sQ22_spl|~sQ47_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f535,f1060])).
% 0.09/0.47  fof(f1060,plain,(
% 0.09/0.47    ![X0]: (~p(X0)|~sQ22_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f75,f420])).
% 0.09/0.47  fof(f1061,plain,(
% 0.09/0.47    $false|~sQ22_spl|~sQ20_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f413,f420])).
% 0.09/0.47  fof(f1062,plain,(
% 0.09/0.47    ~sQ22_spl|~sQ20_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1061])).
% 0.09/0.47  fof(f1063,plain,(
% 0.09/0.47    sQ38_spl|~sQ7_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f882,f494,f357])).
% 0.09/0.47  fof(f1064,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ57_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f577,f581])).
% 0.09/0.47  fof(f1065,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ68_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f619,f581])).
% 0.09/0.47  fof(f1066,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ61_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f593,f581])).
% 0.09/0.47  fof(f1067,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ71_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f632,f581])).
% 0.09/0.47  fof(f1068,plain,(
% 0.09/0.47    ![X0]: (~sP22_prd(X0)|~sQ58_spl)),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f221,f581])).
% 0.09/0.47  fof(f1069,plain,(
% 0.09/0.47    ~sQ34_spl|~sQ32_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1018])).
% 0.09/0.47  fof(f1070,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ63_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f602,f358])).
% 0.09/0.47  fof(f1071,plain,(
% 0.09/0.47    ~sQ7_spl|sQ63_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1070])).
% 0.09/0.47  fof(f1073,plain,(
% 0.09/0.47    $false|~sQ74_spl|sQ92_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f717,f644])).
% 0.09/0.47  fof(f1074,plain,(
% 0.09/0.47    $false|~sQ74_spl|sQ84_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f683,f644])).
% 0.09/0.47  fof(f1075,plain,(
% 0.09/0.47    $false|~sQ74_spl|sQ76_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f653,f644])).
% 0.09/0.47  fof(f1094,plain,(
% 0.09/0.47    sQ26_spl|~sQ1_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f995,f438,f334])).
% 0.09/0.47  fof(f1095,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ51_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f993])).
% 0.09/0.47  fof(f1096,plain,(
% 0.09/0.47    ~sQ74_spl|sQ92_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1073])).
% 0.09/0.47  fof(f1097,plain,(
% 0.09/0.47    ~sQ15_spl|~sQ13_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1019])).
% 0.09/0.47  fof(f1099,plain,(
% 0.09/0.47    sQ29_spl|~sQ7_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f883,f454,f357])).
% 0.09/0.47  fof(f1100,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ77_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f658,f358])).
% 0.09/0.47  fof(f1101,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ64_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f607,f358])).
% 0.09/0.47  fof(f1102,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ54_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f567,f358])).
% 0.09/0.47  fof(f1103,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ46_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f531,f358])).
% 0.09/0.47  fof(f1104,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ42_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f513,f358])).
% 0.09/0.47  fof(f1105,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ16_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f397,f358])).
% 0.09/0.47  fof(f1106,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ89_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f703,f358])).
% 0.09/0.47  fof(f1107,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ83_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f680,f358])).
% 0.09/0.47  fof(f1108,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ75_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f649,f358])).
% 0.09/0.47  fof(f1109,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ53_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f562,f358])).
% 0.09/0.47  fof(f1110,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ40_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f503,f358])).
% 0.09/0.47  fof(f1117,plain,(
% 0.09/0.47    $false|~sQ74_spl|~sQ7_spl|sQ82_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f677,f952])).
% 0.09/0.47  fof(f1119,plain,(
% 0.09/0.47    ~sQ38_spl|sQ41_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1044])).
% 0.09/0.47  fof(f1120,plain,(
% 0.09/0.47    ~sQ74_spl|sQ84_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1074])).
% 0.09/0.47  fof(f1123,plain,(
% 0.09/0.47    sQ112_spl|~sQ95_spl|~sQ113_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f1040,f792,f726,f795])).
% 0.09/0.47  fof(f1126,plain,(
% 0.09/0.47    ~sQ7_spl|sQ77_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1100])).
% 0.09/0.47  fof(f1127,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ45_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f994])).
% 0.09/0.47  fof(f1128,plain,(
% 0.09/0.47    sQ22_spl|~sQ34_spl|~sQ43_spl|~sQ28_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f895,f419,f477,f517,f450])).
% 0.09/0.47  fof(f1129,plain,(
% 0.09/0.47    $false|~sQ34_spl|~sQ43_spl|~sQ21_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f416,f1143])).
% 0.09/0.47  fof(f1130,plain,(
% 0.09/0.47    $false|~sQ34_spl|~sQ43_spl|~sQ33_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f473,f1143])).
% 0.09/0.47  fof(f1143,plain,(
% 0.09/0.47    ![X0]: (~p(X0)|~sQ34_spl|~sQ43_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f518,f478])).
% 0.09/0.47  fof(f1145,plain,(
% 0.09/0.47    ~sQ34_spl|~sQ43_spl|~sQ21_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1129])).
% 0.09/0.47  fof(f1146,plain,(
% 0.09/0.47    sQ34_spl|~sQ1_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f961,f477,f334])).
% 0.09/0.47  fof(f1147,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ3_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f967])).
% 0.09/0.47  fof(f1150,plain,(
% 0.09/0.47    ~sQ22_spl|~sQ4_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1046])).
% 0.09/0.47  fof(f1151,plain,(
% 0.09/0.47    ![X0]: (~f(X0)|h(X0)|~sQ112_spl|~sQ96_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f731,f793])).
% 0.09/0.47  fof(f1168,plain,(
% 0.09/0.47    g(sK67_skl)|~sQ112_spl|~sQ125_spl),
% 0.09/0.47    inference(resolution,[status(thm)],[f793,f843])).
% 0.09/0.47  fof(f1171,plain,(
% 0.09/0.47    $false|sQ126_spl|~sQ112_spl|~sQ125_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f1168,f848])).
% 0.09/0.47  fof(f1172,plain,(
% 0.09/0.47    sQ126_spl|~sQ112_spl|~sQ125_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1171])).
% 0.09/0.47  fof(f1184,plain,(
% 0.09/0.47    p(sK34_skl)|q(sK34_skl)|~sQ66_spl),
% 0.09/0.47    inference(resolution,[status(thm)],[f191,f613])).
% 0.09/0.47  fof(f1185,plain,(
% 0.09/0.47    p(sK39_skl)|q(sK39_skl)|~sQ72_spl),
% 0.09/0.47    inference(resolution,[status(thm)],[f191,f636])).
% 0.09/0.47  fof(f1188,definition,(
% 0.09/0.47    sQ136_spl <=> (p(sK34_skl))),
% 0.09/0.47    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 0.09/0.47  fof(f1189,plain,(
% 0.09/0.47    p(sK34_skl)|~sQ136_spl),
% 0.09/0.47    inference(component_clause,[status(thm)],[f1188])).
% 0.09/0.47  fof(f1191,definition,(
% 0.09/0.47    sQ137_spl <=> (q(sK34_skl))),
% 0.09/0.47    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 0.09/0.47  fof(f1192,plain,(
% 0.09/0.47    q(sK34_skl)|~sQ137_spl),
% 0.09/0.47    inference(component_clause,[status(thm)],[f1191])).
% 0.09/0.47  fof(f1194,plain,(
% 0.09/0.47    sQ136_spl|sQ137_spl|~sQ66_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f1184,f1188,f1191,f612])).
% 0.09/0.47  fof(f1195,definition,(
% 0.09/0.47    sQ138_spl <=> (p(sK39_skl))),
% 0.09/0.47    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 0.09/0.47  fof(f1196,plain,(
% 0.09/0.47    p(sK39_skl)|~sQ138_spl),
% 0.09/0.47    inference(component_clause,[status(thm)],[f1195])).
% 0.09/0.47  fof(f1198,definition,(
% 0.09/0.47    sQ139_spl <=> (q(sK39_skl))),
% 0.09/0.47    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 0.09/0.47  fof(f1199,plain,(
% 0.09/0.47    q(sK39_skl)|~sQ139_spl),
% 0.09/0.47    inference(component_clause,[status(thm)],[f1198])).
% 0.09/0.47  fof(f1201,plain,(
% 0.09/0.47    sQ138_spl|sQ139_spl|~sQ72_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f1185,f1195,f1198,f635])).
% 0.09/0.47  fof(f1202,plain,(
% 0.09/0.47    h(sK66_skl)|~sQ112_spl|~sQ96_spl|~sQ124_spl),
% 0.09/0.47    inference(resolution,[status(thm)],[f1151,f917])).
% 0.09/0.47  fof(f1207,plain,(
% 0.09/0.47    $false|~sQ112_spl|~sQ96_spl|~sQ124_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f1202,f915])).
% 0.09/0.47  fof(f1208,plain,(
% 0.09/0.47    ~sQ112_spl|~sQ96_spl|~sQ124_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1207])).
% 0.09/0.47  fof(f1209,plain,(
% 0.09/0.47    sQ74_spl|~sQ81_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f941,f643,f670])).
% 0.09/0.47  fof(f1210,plain,(
% 0.09/0.47    $false|~sQ81_spl|sQ82_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f677,f671])).
% 0.09/0.47  fof(f1211,plain,(
% 0.09/0.47    ![X0]: (p(X0)|~sQ81_spl)),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f220,f671])).
% 0.09/0.47  fof(f1213,plain,(
% 0.09/0.47    ~sQ81_spl|sQ82_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1210])).
% 0.09/0.47  fof(f1214,plain,(
% 0.09/0.47    ~sQ74_spl|sQ76_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1075])).
% 0.09/0.47  fof(f1215,plain,(
% 0.09/0.47    ~sQ7_spl|sQ64_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1101])).
% 0.09/0.47  fof(f1216,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ57_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1064])).
% 0.09/0.47  fof(f1217,plain,(
% 0.09/0.47    ~sQ7_spl|sQ54_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1102])).
% 0.09/0.47  fof(f1221,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ23_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f426,f335])).
% 0.09/0.47  fof(f1222,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ35_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f483,f335])).
% 0.09/0.47  fof(f1223,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ67_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f616,f335])).
% 0.09/0.47  fof(f1224,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ56_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f573,f335])).
% 0.09/0.47  fof(f1227,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ136_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f1189,f335])).
% 0.09/0.47  fof(f1228,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ138_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f1196,f335])).
% 0.09/0.47  fof(f1229,plain,(
% 0.09/0.47    ![X0]: (sP4_prd(X0)|~sQ1_spl)),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f61,f335])).
% 0.09/0.47  fof(f1230,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ28_spl|~sQ24_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f430,f958])).
% 0.09/0.47  fof(f1231,plain,(
% 0.09/0.47    ~sQ34_spl|~sQ43_spl|~sQ33_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1130])).
% 0.09/0.47  fof(f1232,plain,(
% 0.09/0.47    ~sQ22_spl|~sQ60_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1049])).
% 0.09/0.47  fof(f1233,plain,(
% 0.09/0.47    sQ7_spl|~sQ81_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f1211,f357,f670])).
% 0.09/0.47  fof(f1238,plain,(
% 0.09/0.47    ~sQ7_spl|sQ46_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1103])).
% 0.09/0.47  fof(f1239,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ68_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1065])).
% 0.09/0.47  fof(f1240,plain,(
% 0.09/0.47    ~sQ7_spl|sQ42_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1104])).
% 0.09/0.47  fof(f1241,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ23_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1221])).
% 0.09/0.47  fof(f1242,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ61_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1066])).
% 0.09/0.47  fof(f1243,plain,(
% 0.09/0.47    ~sQ7_spl|sQ16_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1105])).
% 0.09/0.47  fof(f1244,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ35_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1222])).
% 0.09/0.47  fof(f1245,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ71_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1067])).
% 0.09/0.47  fof(f1246,plain,(
% 0.09/0.47    ~sQ7_spl|sQ89_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1106])).
% 0.09/0.47  fof(f1247,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ67_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1223])).
% 0.09/0.47  fof(f1248,plain,(
% 0.09/0.47    ~sQ7_spl|sQ83_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1107])).
% 0.09/0.47  fof(f1250,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ56_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1224])).
% 0.09/0.47  fof(f1251,plain,(
% 0.09/0.47    $false|~sQ29_spl|~sQ28_spl|sQ90_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f710,f1261])).
% 0.09/0.47  fof(f1252,plain,(
% 0.09/0.47    $false|~sQ29_spl|~sQ28_spl|sQ9_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f367,f1261])).
% 0.09/0.47  fof(f1253,plain,(
% 0.09/0.47    $false|~sQ29_spl|~sQ28_spl|sQ11_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f377,f1261])).
% 0.09/0.47  fof(f1254,plain,(
% 0.09/0.47    $false|~sQ29_spl|~sQ28_spl|sQ14_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f387,f1261])).
% 0.09/0.47  fof(f1261,plain,(
% 0.09/0.47    ![X0]: (p(X0)|~sQ29_spl|~sQ28_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f451,f455])).
% 0.09/0.47  fof(f1262,plain,(
% 0.09/0.47    ~sQ7_spl|sQ75_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1108])).
% 0.09/0.47  fof(f1269,plain,(
% 0.09/0.47    ![X0]: (~p(X0)|~sQ26_spl|~sQ25_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f435,f439])).
% 0.09/0.47  fof(f1270,plain,(
% 0.09/0.47    sQ1_spl|~sQ26_spl|~sQ25_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f904,f334,f438,f434])).
% 0.09/0.47  fof(f1271,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ139_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f1199,f581])).
% 0.09/0.47  fof(f1272,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ137_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f1192,f581])).
% 0.09/0.47  fof(f1273,plain,(
% 0.09/0.47    ![X0]: (~sP19_prd(X0)|~sQ26_spl|~sQ25_spl|~sQ58_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f1001,f1269])).
% 0.09/0.47  fof(f1274,plain,(
% 0.09/0.47    $false|~sQ26_spl|~sQ25_spl|~sQ58_spl|~sQ66_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f613,f1273])).
% 0.09/0.47  fof(f1275,plain,(
% 0.09/0.47    ~sQ26_spl|~sQ25_spl|~sQ58_spl|~sQ66_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1274])).
% 0.09/0.47  fof(f1285,plain,(
% 0.09/0.47    ~sQ29_spl|~sQ28_spl|sQ90_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1251])).
% 0.09/0.47  fof(f1286,plain,(
% 0.09/0.47    ~sQ29_spl|~sQ28_spl|sQ9_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1252])).
% 0.09/0.47  fof(f1287,plain,(
% 0.09/0.47    ~sQ29_spl|~sQ28_spl|sQ11_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1253])).
% 0.09/0.47  fof(f1288,plain,(
% 0.09/0.47    ~sQ29_spl|~sQ28_spl|sQ14_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1254])).
% 0.09/0.47  fof(f1293,plain,(
% 0.09/0.47    ~sQ74_spl|~sQ7_spl|sQ82_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1117])).
% 0.09/0.47  fof(f1294,plain,(
% 0.09/0.47    sQ15_spl|~sQ38_spl|~sQ48_spl|~sQ25_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f911,f389,f494,f538,f434])).
% 0.09/0.47  fof(f1304,plain,(
% 0.09/0.47    sQ7_spl|~sQ38_spl|~sQ48_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f909,f357,f494,f538])).
% 0.09/0.47  fof(f1308,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ136_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1227])).
% 0.09/0.47  fof(f1309,plain,(
% 0.09/0.47    $false|~sQ58_spl|~sQ82_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f676,f1068])).
% 0.09/0.47  fof(f1311,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ139_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1271])).
% 0.09/0.47  fof(f1312,plain,(
% 0.09/0.47    ~sQ22_spl|~sQ47_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1054])).
% 0.09/0.47  fof(f1318,plain,(
% 0.09/0.47    ~sQ15_spl|~sQ17_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1020])).
% 0.09/0.47  fof(f1319,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ28_spl|~sQ24_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1230])).
% 0.09/0.47  fof(f1322,plain,(
% 0.09/0.47    ~sQ15_spl|sQ14_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1024])).
% 0.09/0.47  fof(f1329,plain,(
% 0.09/0.47    ![X0]: (p(X0)|~sQ6_spl|~sQ18_spl)),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f405,f355])).
% 0.09/0.47  fof(f1330,plain,(
% 0.09/0.47    sQ7_spl|~sQ6_spl|~sQ18_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f897,f357,f354,f404])).
% 0.09/0.47  fof(f1331,plain,(
% 0.09/0.47    $false|~sQ6_spl|~sQ18_spl|sQ9_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f367,f1329])).
% 0.09/0.47  fof(f1332,plain,(
% 0.09/0.47    ~sQ6_spl|~sQ18_spl|sQ9_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1331])).
% 0.09/0.47  fof(f1337,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ137_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1272])).
% 0.09/0.47  fof(f1338,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ138_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1228])).
% 0.09/0.47  fof(f1345,plain,(
% 0.09/0.47    ~sQ58_spl|~sQ82_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1309])).
% 0.09/0.47  fof(f1346,plain,(
% 0.09/0.47    $false|~sQ7_spl|sQ66_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f614,f881])).
% 0.09/0.47  fof(f1347,plain,(
% 0.09/0.47    ~sQ7_spl|sQ66_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1346])).
% 0.09/0.47  fof(f1348,plain,(
% 0.09/0.47    ![X0]: (~p(X0)|~sQ1_spl|~sQ25_spl)),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f435,f1229])).
% 0.09/0.47  fof(f1350,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ9_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f366,f335])).
% 0.09/0.47  fof(f1351,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ9_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1350])).
% 0.09/0.47  fof(f1357,plain,(
% 0.09/0.47    sQ1_spl|~sQ69_spl),
% 0.09/0.47    inference(split_clause,[status(thm)],[f906,f334,f622])).
% 0.09/0.47  fof(f1370,plain,(
% 0.09/0.47    ~sQ7_spl|sQ40_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1110])).
% 0.09/0.47  fof(f1371,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ25_spl|~sQ14_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f386,f1348])).
% 0.09/0.47  fof(f1372,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ25_spl|~sQ14_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1371])).
% 0.09/0.47  fof(f1379,plain,(
% 0.09/0.47    ~sQ7_spl|sQ53_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1109])).
% 0.09/0.47  fof(f1380,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ25_spl|~sQ4_spl),
% 0.09/0.47    inference(backward_subsumption_resolution,[status(thm)],[f345,f1348])).
% 0.09/0.47  fof(f1384,plain,(
% 0.09/0.47    $false|~sQ1_spl|~sQ25_spl|~sQ53_spl),
% 0.09/0.47    inference(forward_subsumption_resolution,[status(thm)],[f561,f1348])).
% 0.09/0.47  fof(f1385,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ25_spl|~sQ53_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1384])).
% 0.09/0.47  fof(f1386,plain,(
% 0.09/0.47    ~sQ1_spl|~sQ25_spl|~sQ4_spl),
% 0.09/0.47    inference(contradiction_clause,[status(thm)],[f1380])).
% 0.09/0.47  fof(f1387,plain,(
% 0.09/0.47    $false),
% 0.09/0.47    inference(sat_refutation,[status(thm)],[f340,f347,f350,f360,f364,f368,f369,f388,f392,f393,f394,f402,f407,f408,f418,f422,f423,f424,f433,f437,f441,f445,f446,f447,f453,f457,f461,f462,f463,f475,f476,f480,f481,f497,f504,f505,f506,f516,f520,f524,f528,f533,f537,f541,f542,f546,f547,f548,f555,f559,f563,f564,f568,f575,f579,f583,f584,f591,f595,f599,f603,f604,f608,f621,f625,f626,f627,f634,f638,f646,f650,f654,f655,f662,f673,f674,f684,f685,f689,f690,f697,f704,f705,f706,f707,f718,f725,f729,f733,f734,f756,f760,f764,f768,f769,f791,f798,f818,f822,f823,f845,f849,f858,f859,f886,f891,f900,f905,f933,f940,f943,f945,f946,f954,f963,f965,f966,f969,f973,f982,f984,f985,f998,f1000,f1013,f1014,f1041,f1042,f1043,f1062,f1063,f1069,f1071,f1094,f1095,f1096,f1097,f1099,f1119,f1120,f1123,f1126,f1127,f1128,f1145,f1146,f1147,f1150,f1172,f1194,f1201,f1208,f1209,f1213,f1214,f1215,f1216,f1217,f1231,f1232,f1233,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1250,f1262,f1270,f1275,f1285,f1286,f1287,f1288,f1293,f1294,f1304,f1308,f1311,f1312,f1318,f1319,f1322,f1330,f1332,f1337,f1338,f1345,f1347,f1351,f1357,f1370,f1372,f1379,f1385,f1386])).
% 0.09/0.47  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.47  % Elapsed time: 0.103424 seconds
% 0.09/0.47  % CPU time: 0.555840 seconds
% 0.09/0.47  % Total memory used: 29.229 MB
% 0.09/0.47  % Net memory used: 28.951 MB
%------------------------------------------------------------------------------