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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 02:49:59 PM UTC 2026

% Result   : Theorem 0.96s 0.62s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 08:27:05 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.96/0.62  % Refutation found
% 0.96/0.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.96/0.62  % SZS output start CNFRefutation for theBenchmark
% 0.96/0.62  fof(f3,axiom,(
% 0.96/0.62    (! [X] : ~ gt(X,X) )),
% 0.96/0.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.62  fof(f5,axiom,(
% 0.96/0.62    (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 0.96/0.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.62  fof(f10,axiom,(
% 0.96/0.62    (! [X,Y] :( leq(X,pred(Y))<=> gt(Y,X) ) )),
% 0.96/0.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.62  fof(f39,axiom,(
% 0.96/0.62    (! [X] : minus(X,n1) = pred(X) )),
% 0.96/0.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.62  fof(f53,conjecture,(
% 0.96/0.62    ( ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [A,B] :( ( leq(n0,A)& leq(A,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,A,B)) = n1 ) ))=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [C,D] :( ( leq(n0,C)& leq(C,minus(n0,n1)) )=> a_select3(q,pv10,C) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))) ))& (! [E,F] :( ( leq(n0,E)& leq(E,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,E,F)) = n1 ) )) ) ),
% 0.96/0.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.96/0.62  fof(f54,negated_conjecture,(
% 0.96/0.62    ~(( ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [A,B] :( ( leq(n0,A)& leq(A,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,A,B)) = n1 ) ))=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [C,D] :( ( leq(n0,C)& leq(C,minus(n0,n1)) )=> a_select3(q,pv10,C) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))) ))& (! [E,F] :( ( leq(n0,E)& leq(E,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,E,F)) = n1 ) )) ) )),
% 0.96/0.62    inference(negated_conjecture,[status(cth)],[f53])).
% 0.96/0.62  fof(f98,plain,(
% 0.96/0.62    ![X0]: (~gt(X0,X0))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f3])).
% 0.96/0.62  fof(f100,plain,(
% 0.96/0.62    ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 0.96/0.62    inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.96/0.62  fof(f101,plain,(
% 0.96/0.62    ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 0.96/0.62    inference(miniscoping,[status(thm)],[f100])).
% 0.96/0.62  fof(f102,plain,(
% 0.96/0.62    ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f101])).
% 0.96/0.62  fof(f115,plain,(
% 0.96/0.62    ![X,Y]: ((~leq(X,pred(Y))|gt(Y,X))&(leq(X,pred(Y))|~gt(Y,X)))),
% 0.96/0.62    inference(NNF_transformation,[status(thm)],[f10])).
% 0.96/0.62  fof(f116,plain,(
% 0.96/0.62    (![X,Y]: (~leq(X,pred(Y))|gt(Y,X)))&(![X,Y]: (leq(X,pred(Y))|~gt(Y,X)))),
% 0.96/0.62    inference(miniscoping,[status(thm)],[f115])).
% 0.96/0.62  fof(f117,plain,(
% 0.96/0.62    ![X0,X1]: (~leq(X0,pred(X1))|gt(X1,X0))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f116])).
% 0.96/0.62  fof(f118,plain,(
% 0.96/0.62    ![X0,X1]: (leq(X0,pred(X1))|~gt(X1,X0))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f116])).
% 0.96/0.62  fof(f217,plain,(
% 0.96/0.62    ![X0]: (minus(X0,n1)=pred(X0))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f39])).
% 0.96/0.62  fof(f251,plain,(
% 0.96/0.62    (((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A,B]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|sum(n0,minus(n5,n1),a_select3(q,A,B))=n1)))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|(?[C,D]: ((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))))))|(?[E,F]: ((leq(n0,E)&leq(E,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,E,F))=n1))))),
% 0.96/0.62    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.96/0.62  fof(f252,definition,(
% 0.96/0.62    ![C,D]: (sP3_prd(D,C)<=>((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10))))))))),
% 0.96/0.62    introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.96/0.62  fof(f253,plain,(
% 0.96/0.62    ((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A,B]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|sum(n0,minus(n5,n1),a_select3(q,A,B))=n1)))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|(?[C,D]: sP3_prd(D,C)))|(?[E,F]: ((leq(n0,E)&leq(E,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,E,F))=n1)))),
% 0.96/0.62    inference(formula_renaming,[status(thm)],[f251,f252])).
% 0.96/0.62  fof(f254,plain,(
% 0.96/0.62    ((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|(![B]: sum(n0,minus(n5,n1),a_select3(q,A,B))=n1))))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|(?[C,D]: sP3_prd(D,C)))|(?[E]: ((leq(n0,E)&leq(E,minus(pv10,n1)))&(?[F]: ~sum(n0,minus(n5,n1),a_select3(q,E,F))=n1))))),
% 0.96/0.62    inference(miniscoping,[status(thm)],[f253])).
% 0.96/0.62  fof(f255,plain,(
% 0.96/0.62    ((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|(![B]: sum(n0,minus(n5,n1),a_select3(q,A,B))=n1))))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|sP3_prd(sK24_skl,sK23_skl))|((leq(n0,sK25_skl)&leq(sK25_skl,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,sK25_skl,sK26_skl))=n1))),
% 0.96/0.62    inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(C,sK23_skl),skolemize(D,sK24_skl),skolemize(E,sK25_skl),skolemize(F,sK26_skl)],[f254])).
% 0.96/0.62  fof(f256,plain,(
% 0.96/0.62    leq(n0,pv10)),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f255])).
% 0.96/0.62  fof(f257,plain,(
% 0.96/0.62    leq(pv10,minus(n135300,n1))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f255])).
% 0.96/0.62  fof(f258,plain,(
% 0.96/0.62    ![X0,X1]: (~leq(n0,X0)|~leq(X0,minus(pv10,n1))|sum(n0,minus(n5,n1),a_select3(q,X0,X1))=n1)),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f255])).
% 0.96/0.62  fof(f259,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))|sP3_prd(sK24_skl,sK23_skl)|leq(n0,sK25_skl)),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f255])).
% 0.96/0.62  fof(f260,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))|sP3_prd(sK24_skl,sK23_skl)|leq(sK25_skl,minus(pv10,n1))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f255])).
% 0.96/0.62  fof(f261,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))|sP3_prd(sK24_skl,sK23_skl)|~sum(n0,minus(n5,n1),a_select3(q,sK25_skl,sK26_skl))=n1),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f255])).
% 0.96/0.62  fof(f335,plain,(
% 0.96/0.62    ![C,D]: ((~sP3_prd(D,C)|((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10))))))))&(sP3_prd(D,C)|((~leq(n0,C)|~leq(C,minus(n0,n1)))|a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))))))),
% 0.96/0.62    inference(NNF_transformation,[status(thm)],[f252])).
% 0.96/0.62  fof(f336,plain,(
% 0.96/0.62    (![C,D]: (~sP3_prd(D,C)|((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))))))&(![C,D]: (sP3_prd(D,C)|((~leq(n0,C)|~leq(C,minus(n0,n1)))|a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))))))),
% 0.96/0.62    inference(miniscoping,[status(thm)],[f335])).
% 0.96/0.62  fof(f337,plain,(
% 0.96/0.62    ![X0,X1]: (~sP3_prd(X0,X1)|leq(n0,X1))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f336])).
% 0.96/0.62  fof(f338,plain,(
% 0.96/0.62    ![X0,X1]: (~sP3_prd(X0,X1)|leq(X1,minus(n0,n1)))),
% 0.96/0.62    inference(cnf_transformation,[status(thm)],[f336])).
% 0.96/0.62  fof(f358,plain,(
% 0.96/0.62    leq(pv10,pred(n135300))),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f257])).
% 0.96/0.62  fof(f359,plain,(
% 0.96/0.62    ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,minus(n5,n1),a_select3(q,X0,X1))=n1)),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f258])).
% 0.96/0.62  fof(f360,plain,(
% 0.96/0.62    ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,pred(n5),a_select3(q,X0,X1))=n1)),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f359])).
% 0.96/0.62  fof(f361,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|leq(n0,sK25_skl)),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f259])).
% 0.96/0.62  fof(f362,plain,(
% 0.96/0.62    ~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|leq(n0,sK25_skl)),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f361,f256])).
% 0.96/0.62  fof(f363,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|leq(sK25_skl,minus(pv10,n1))),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f260])).
% 0.96/0.62  fof(f364,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|leq(sK25_skl,pred(pv10))),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f363])).
% 0.96/0.62  fof(f365,plain,(
% 0.96/0.62    ~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|leq(sK25_skl,pred(pv10))),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f364,f256])).
% 0.96/0.62  fof(f366,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|~sum(n0,minus(n5,n1),a_select3(q,sK25_skl,sK26_skl))=n1),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f261])).
% 0.96/0.62  fof(f367,plain,(
% 0.96/0.62    ~leq(n0,pv10)|~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|~sum(n0,pred(n5),a_select3(q,sK25_skl,sK26_skl))=n1),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f366])).
% 0.96/0.62  fof(f368,plain,(
% 0.96/0.62    ~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|~sum(n0,pred(n5),a_select3(q,sK25_skl,sK26_skl))=n1),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f367,f256])).
% 0.96/0.62  fof(f376,plain,(
% 0.96/0.62    ![X0,X1]: (~sP3_prd(X0,X1)|leq(X1,pred(n0)))),
% 0.96/0.62    inference(forward_demodulation,[status(thm)],[f217,f338])).
% 0.96/0.62  fof(f387,plain,(
% 0.96/0.62    sP3_prd(sK24_skl,sK23_skl)|leq(n0,sK25_skl)),
% 0.96/0.62    inference(resolution,[status(thm)],[f362,f358])).
% 0.96/0.62  fof(f393,plain,(
% 0.96/0.62    leq(n0,sK25_skl)|leq(n0,sK23_skl)),
% 0.96/0.62    inference(resolution,[status(thm)],[f387,f337])).
% 0.96/0.62  fof(f394,plain,(
% 0.96/0.62    ![X0]: (~leq(pv10,pred(n135300))|sP3_prd(sK24_skl,sK23_skl)|~leq(n0,sK25_skl)|sum(n0,pred(n5),a_select3(q,sK25_skl,X0))=n1)),
% 0.96/0.62    inference(resolution,[status(thm)],[f365,f360])).
% 0.96/0.62  fof(f395,plain,(
% 0.96/0.62    ![X0]: (sP3_prd(sK24_skl,sK23_skl)|~leq(n0,sK25_skl)|sum(n0,pred(n5),a_select3(q,sK25_skl,X0))=n1)),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f394,f358])).
% 0.96/0.62  fof(f396,plain,(
% 0.96/0.62    sP3_prd(sK24_skl,sK23_skl)|~sum(n0,pred(n5),a_select3(q,sK25_skl,sK26_skl))=n1),
% 0.96/0.62    inference(resolution,[status(thm)],[f368,f358])).
% 0.96/0.62  fof(f414,plain,(
% 0.96/0.62    ![X0,X1]: (gt(n0,X0)|~sP3_prd(X1,X0))),
% 0.96/0.62    inference(resolution,[status(thm)],[f117,f376])).
% 0.96/0.62  fof(f416,plain,(
% 0.96/0.62    ![X0,X1,X2]: (gt(X0,X1)|~leq(X1,X2)|~leq(X2,pred(X0)))),
% 0.96/0.62    inference(resolution,[status(thm)],[f117,f102])).
% 0.96/0.62  fof(f423,plain,(
% 0.96/0.62    gt(n0,sK23_skl)|leq(n0,sK25_skl)),
% 0.96/0.62    inference(resolution,[status(thm)],[f414,f387])).
% 0.96/0.62  fof(f518,plain,(
% 0.96/0.62    ![X0,X1,X2]: (gt(X0,X1)|~leq(X1,X2)|~gt(X0,X2))),
% 0.96/0.62    inference(resolution,[status(thm)],[f416,f118])).
% 0.96/0.62  fof(f601,plain,(
% 0.96/0.62    ![X0]: (~leq(n0,sK25_skl)|sum(n0,pred(n5),a_select3(q,sK25_skl,X0))=n1|gt(n0,sK23_skl))),
% 0.96/0.62    inference(resolution,[status(thm)],[f395,f414])).
% 0.96/0.62  fof(f602,plain,(
% 0.96/0.62    ![X0]: (~leq(n0,sK25_skl)|sum(n0,pred(n5),a_select3(q,sK25_skl,X0))=n1|leq(n0,sK23_skl))),
% 0.96/0.62    inference(resolution,[status(thm)],[f395,f337])).
% 0.96/0.62  fof(f604,plain,(
% 0.96/0.62    ![X0]: (sum(n0,pred(n5),a_select3(q,sK25_skl,X0))=n1|gt(n0,sK23_skl))),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f601,f423])).
% 0.96/0.62  fof(f605,plain,(
% 0.96/0.62    ![X0]: (sum(n0,pred(n5),a_select3(q,sK25_skl,X0))=n1|leq(n0,sK23_skl))),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f602,f393])).
% 0.96/0.62  fof(f625,plain,(
% 0.96/0.62    ![X0,X1]: (~leq(X0,X1)|~gt(X0,X1))),
% 0.96/0.62    inference(resolution,[status(thm)],[f518,f98])).
% 0.96/0.62  fof(f635,plain,(
% 0.96/0.62    ~sum(n0,pred(n5),a_select3(q,sK25_skl,sK26_skl))=n1|gt(n0,sK23_skl)),
% 0.96/0.62    inference(resolution,[status(thm)],[f396,f414])).
% 0.96/0.62  fof(f636,plain,(
% 0.96/0.62    ~sum(n0,pred(n5),a_select3(q,sK25_skl,sK26_skl))=n1|leq(n0,sK23_skl)),
% 0.96/0.62    inference(resolution,[status(thm)],[f396,f337])).
% 0.96/0.62  fof(f638,plain,(
% 0.96/0.62    gt(n0,sK23_skl)),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f635,f604])).
% 0.96/0.62  fof(f639,plain,(
% 0.96/0.62    leq(n0,sK23_skl)),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f636,f605])).
% 0.96/0.62  fof(f644,plain,(
% 0.96/0.62    ~gt(n0,sK23_skl)),
% 0.96/0.62    inference(resolution,[status(thm)],[f625,f639])).
% 0.96/0.62  fof(f656,plain,(
% 0.96/0.62    $false),
% 0.96/0.62    inference(forward_subsumption_resolution,[status(thm)],[f644,f638])).
% 0.96/0.62  % SZS output end CNFRefutation for theBenchmark.p
% 0.96/0.65  % Elapsed time: 0.279566 seconds
% 0.96/0.65  % CPU time: 1.896446 seconds
% 0.96/0.65  % Total memory used: 131.045 MB
% 0.96/0.65  % Net memory used: 127.641 MB
%------------------------------------------------------------------------------