%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET951+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:12:54 PM UTC 2026
% Result : Theorem 10.28s 16.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET951+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n012.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Mon Sep 21 05:44:53 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.39 % Drodi V4.1.1
% 10.28/16.75 % Refutation found
% 10.28/16.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.28/16.75 % SZS output start CNFRefutation for theBenchmark
% 10.28/16.75 fof(f4,axiom,(
% 10.28/16.75 (! [A,B,C] :( C = cartesian_product2(A,B)<=> (! [D] :( in(D,C)<=> (? [E,F] :( in(E,A)& in(F,B)& D = ordered_pair(E,F) ) )) )) )),
% 10.28/16.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.28/16.75 fof(f5,axiom,(
% 10.28/16.75 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 10.28/16.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.28/16.75 fof(f11,conjecture,(
% 10.28/16.75 (! [A,B,C,D,E] :~ ( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))& (! [F,G] :~ ( A = ordered_pair(F,G)& in(F,set_intersection2(B,D))& in(G,set_intersection2(C,E)) ) )) )),
% 10.28/16.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.28/16.75 fof(f12,negated_conjecture,(
% 10.28/16.75 ~((! [A,B,C,D,E] :~ ( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))& (! [F,G] :~ ( A = ordered_pair(F,G)& in(F,set_intersection2(B,D))& in(G,set_intersection2(C,E)) ) )) ))),
% 10.28/16.75 inference(negated_conjecture,[status(cth)],[f11])).
% 10.28/16.75 fof(f13,axiom,(
% 10.28/16.75 (! [A,B,C,D] :( ordered_pair(A,B) = ordered_pair(C,D)=> ( A = C& B = D ) ) )),
% 10.28/16.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.28/16.75 fof(f18,definition,(
% 10.28/16.75 ![A,B,D,E,F]: (sP0_prd(F,E,D,B,A)<=>((in(E,A)&in(F,B))&D=ordered_pair(E,F)))),
% 10.28/16.75 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 10.28/16.75 fof(f19,plain,(
% 10.28/16.75 ![A,B,C]: (C=cartesian_product2(A,B)<=>(![D]: (in(D,C)<=>(?[E,F]: sP0_prd(F,E,D,B,A)))))),
% 10.28/16.75 inference(formula_renaming,[status(thm)],[f4,f18])).
% 10.28/16.75 fof(f20,plain,(
% 10.28/16.75 ![A,B,C]: ((~C=cartesian_product2(A,B)|(![D]: ((~in(D,C)|(?[E,F]: sP0_prd(F,E,D,B,A)))&(in(D,C)|(![E,F]: ~sP0_prd(F,E,D,B,A))))))&(C=cartesian_product2(A,B)|(?[D]: ((~in(D,C)|(![E,F]: ~sP0_prd(F,E,D,B,A)))&(in(D,C)|(?[E,F]: sP0_prd(F,E,D,B,A)))))))),
% 10.28/16.75 inference(NNF_transformation,[status(thm)],[f19])).
% 10.28/16.75 fof(f21,plain,(
% 10.28/16.75 (![A,B,C]: (~C=cartesian_product2(A,B)|((![D]: (~in(D,C)|(?[E,F]: sP0_prd(F,E,D,B,A))))&(![D]: (in(D,C)|(![E,F]: ~sP0_prd(F,E,D,B,A)))))))&(![A,B,C]: (C=cartesian_product2(A,B)|(?[D]: ((~in(D,C)|(![E,F]: ~sP0_prd(F,E,D,B,A)))&(in(D,C)|(?[E,F]: sP0_prd(F,E,D,B,A)))))))),
% 10.28/16.75 inference(miniscoping,[status(thm)],[f20])).
% 10.28/16.75 fof(f22,plain,(
% 10.28/16.75 (![A,B,C]: (~C=cartesian_product2(A,B)|((![D]: (~in(D,C)|sP0_prd(sK1_skl(D,C,B,A),sK0_skl(D,C,B,A),D,B,A)))&(![D]: (in(D,C)|(![E,F]: ~sP0_prd(F,E,D,B,A)))))))&(![A,B,C]: (C=cartesian_product2(A,B)|((~in(sK2_skl(C,B,A),C)|(![E,F]: ~sP0_prd(F,E,sK2_skl(C,B,A),B,A)))&(in(sK2_skl(C,B,A),C)|sP0_prd(sK4_skl(C,B,A),sK3_skl(C,B,A),sK2_skl(C,B,A),B,A)))))),
% 10.28/16.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(E,sK0_skl(D,C,B,A)),skolemize(F,sK1_skl(D,C,B,A)),skolemize(D,sK2_skl(C,B,A)),skolemize(E,sK3_skl(C,B,A)),skolemize(F,sK4_skl(C,B,A))],[f21])).
% 10.28/16.75 fof(f23,plain,(
% 10.28/16.75 ![X0,X1,X2,X3]: (~X0=cartesian_product2(X1,X2)|~in(X3,X0)|sP0_prd(sK1_skl(X3,X0,X2,X1),sK0_skl(X3,X0,X2,X1),X3,X2,X1))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f22])).
% 10.28/16.75 fof(f27,plain,(
% 10.28/16.75 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 10.28/16.75 inference(NNF_transformation,[status(thm)],[f5])).
% 10.28/16.75 fof(f28,plain,(
% 10.28/16.75 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 10.28/16.75 inference(miniscoping,[status(thm)],[f27])).
% 10.28/16.75 fof(f29,plain,(
% 10.28/16.75 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sK5_skl(C,B,A),C)|(~in(sK5_skl(C,B,A),A)|~in(sK5_skl(C,B,A),B)))&(in(sK5_skl(C,B,A),C)|(in(sK5_skl(C,B,A),A)&in(sK5_skl(C,B,A),B))))))),
% 10.28/16.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B,A))],[f28])).
% 10.28/16.75 fof(f30,plain,(
% 10.28/16.75 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f29])).
% 10.28/16.75 fof(f31,plain,(
% 10.28/16.75 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X2))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f29])).
% 10.28/16.75 fof(f32,plain,(
% 10.28/16.75 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f29])).
% 10.28/16.75 fof(f44,plain,(
% 10.28/16.75 (?[A,B,C,D,E]: (in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))&(![F,G]: ((~A=ordered_pair(F,G)|~in(F,set_intersection2(B,D)))|~in(G,set_intersection2(C,E))))))),
% 10.28/16.75 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 10.28/16.75 fof(f45,plain,(
% 10.28/16.75 ?[A,B,C,D,E]: (in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))&(![G]: ((![F]: (~A=ordered_pair(F,G)|~in(F,set_intersection2(B,D))))|~in(G,set_intersection2(C,E)))))),
% 10.28/16.75 inference(miniscoping,[status(thm)],[f44])).
% 10.28/16.75 fof(f46,plain,(
% 10.28/16.75 (in(sK8_skl,set_intersection2(cartesian_product2(sK9_skl,sK10_skl),cartesian_product2(sK11_skl,sK12_skl)))&(![G]: ((![F]: (~sK8_skl=ordered_pair(F,G)|~in(F,set_intersection2(sK9_skl,sK11_skl))))|~in(G,set_intersection2(sK10_skl,sK12_skl)))))),
% 10.28/16.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl),skolemize(C,sK10_skl),skolemize(D,sK11_skl),skolemize(E,sK12_skl)],[f45])).
% 10.28/16.75 fof(f47,plain,(
% 10.28/16.75 in(sK8_skl,set_intersection2(cartesian_product2(sK9_skl,sK10_skl),cartesian_product2(sK11_skl,sK12_skl)))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f46])).
% 10.28/16.75 fof(f48,plain,(
% 10.28/16.75 ![X0,X1]: (~sK8_skl=ordered_pair(X0,X1)|~in(X0,set_intersection2(sK9_skl,sK11_skl))|~in(X1,set_intersection2(sK10_skl,sK12_skl)))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f46])).
% 10.28/16.75 fof(f49,plain,(
% 10.28/16.75 ![A,B,C,D]: (~ordered_pair(A,B)=ordered_pair(C,D)|(A=C&B=D))),
% 10.28/16.75 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 10.28/16.75 fof(f50,plain,(
% 10.28/16.75 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|X0=X2)),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f49])).
% 10.28/16.75 fof(f51,plain,(
% 10.28/16.75 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|X1=X3)),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f49])).
% 10.28/16.75 fof(f52,plain,(
% 10.28/16.75 ![A,B,D,E,F]: ((~sP0_prd(F,E,D,B,A)|((in(E,A)&in(F,B))&D=ordered_pair(E,F)))&(sP0_prd(F,E,D,B,A)|((~in(E,A)|~in(F,B))|~D=ordered_pair(E,F))))),
% 10.28/16.75 inference(NNF_transformation,[status(thm)],[f18])).
% 10.28/16.75 fof(f53,plain,(
% 10.28/16.75 (![A,B,D,E,F]: (~sP0_prd(F,E,D,B,A)|((in(E,A)&in(F,B))&D=ordered_pair(E,F))))&(![A,B,D,E,F]: (sP0_prd(F,E,D,B,A)|((~in(E,A)|~in(F,B))|~D=ordered_pair(E,F))))),
% 10.28/16.75 inference(miniscoping,[status(thm)],[f52])).
% 10.28/16.75 fof(f54,plain,(
% 10.28/16.75 ![X0,X1,X2,X3,X4]: (~sP0_prd(X0,X1,X2,X3,X4)|in(X1,X4))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f53])).
% 10.28/16.75 fof(f55,plain,(
% 10.28/16.75 ![X0,X1,X2,X3,X4]: (~sP0_prd(X0,X1,X2,X3,X4)|in(X0,X3))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f53])).
% 10.28/16.75 fof(f56,plain,(
% 10.28/16.75 ![X0,X1,X2,X3,X4]: (~sP0_prd(X0,X1,X2,X3,X4)|X2=ordered_pair(X1,X0))),
% 10.28/16.75 inference(cnf_transformation,[status(thm)],[f53])).
% 10.28/16.75 fof(f58,plain,(
% 10.28/16.75 ![X0,X1,X2]: (~in(X0,cartesian_product2(X1,X2))|sP0_prd(sK1_skl(X0,cartesian_product2(X1,X2),X2,X1),sK0_skl(X0,cartesian_product2(X1,X2),X2,X1),X0,X2,X1))),
% 10.28/16.75 inference(destructive_equality_resolution,[status(thm)],[f23])).
% 10.28/16.75 fof(f60,plain,(
% 10.28/16.75 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X1))),
% 10.28/16.75 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 10.28/16.75 fof(f61,plain,(
% 10.28/16.75 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X2))),
% 10.28/16.75 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 10.28/16.75 fof(f62,plain,(
% 10.28/16.75 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 10.28/16.75 inference(destructive_equality_resolution,[status(thm)],[f32])).
% 10.28/16.75 fof(f71,plain,(
% 10.28/16.75 in(sK8_skl,cartesian_product2(sK9_skl,sK10_skl))),
% 10.28/16.75 inference(resolution,[status(thm)],[f60,f47])).
% 10.28/16.75 fof(f76,plain,(
% 10.28/16.75 in(sK8_skl,cartesian_product2(sK11_skl,sK12_skl))),
% 10.28/16.75 inference(resolution,[status(thm)],[f61,f47])).
% 10.28/16.75 fof(f85,plain,(
% 10.28/16.75 sP0_prd(sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),sK8_skl,sK12_skl,sK11_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f58,f76])).
% 10.28/16.75 fof(f86,plain,(
% 10.28/16.75 sP0_prd(sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),sK8_skl,sK10_skl,sK9_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f58,f71])).
% 10.28/16.75 fof(f90,plain,(
% 10.28/16.75 in(sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),sK12_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f85,f55])).
% 10.28/16.75 fof(f91,plain,(
% 10.28/16.75 in(sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),sK11_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f85,f54])).
% 10.28/16.75 fof(f94,plain,(
% 10.28/16.75 in(sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),sK10_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f86,f55])).
% 10.28/16.75 fof(f95,plain,(
% 10.28/16.75 in(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),sK9_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f86,f54])).
% 10.28/16.75 fof(f97,plain,(
% 10.28/16.75 ![X0]: (in(sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),set_intersection2(X0,sK12_skl))|~in(sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),X0))),
% 10.28/16.75 inference(resolution,[status(thm)],[f62,f90])).
% 10.28/16.75 fof(f101,plain,(
% 10.28/16.75 ![X0]: (in(sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),set_intersection2(X0,sK11_skl))|~in(sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),X0))),
% 10.28/16.75 inference(resolution,[status(thm)],[f91,f62])).
% 10.28/16.75 fof(f127,plain,(
% 10.28/16.75 sK8_skl=ordered_pair(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl))),
% 10.28/16.75 inference(resolution,[status(thm)],[f56,f86])).
% 10.28/16.75 fof(f128,plain,(
% 10.28/16.75 sK8_skl=ordered_pair(sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl))),
% 10.28/16.75 inference(resolution,[status(thm)],[f56,f85])).
% 10.28/16.75 fof(f2971,plain,(
% 10.28/16.75 ![X0,X1]: (~ordered_pair(X0,X1)=sK8_skl|X1=sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl))),
% 10.28/16.75 inference(paramodulation,[status(thm)],[f127,f51])).
% 10.28/16.75 fof(f2973,plain,(
% 10.28/16.75 ![X0,X1]: (~ordered_pair(X0,X1)=sK8_skl|X0=sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl))),
% 10.28/16.75 inference(paramodulation,[status(thm)],[f127,f50])).
% 10.28/16.75 fof(f4396,plain,(
% 10.28/16.75 sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl)=sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f128,f2973])).
% 10.28/16.75 fof(f4397,plain,(
% 10.28/16.75 sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl)=sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl)),
% 10.28/16.75 inference(resolution,[status(thm)],[f128,f2971])).
% 10.28/16.75 fof(f6583,plain,(
% 10.28/16.75 ![X0]: (in(sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),set_intersection2(X0,sK12_skl))|~in(sK1_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),X0))),
% 10.28/16.75 inference(forward_demodulation,[status(thm)],[f4397,f97])).
% 10.28/16.75 fof(f6584,plain,(
% 10.28/16.75 ![X0]: (in(sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),set_intersection2(X0,sK12_skl))|~in(sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),X0))),
% 10.28/16.75 inference(forward_demodulation,[status(thm)],[f4397,f6583])).
% 10.28/16.75 fof(f6586,plain,(
% 10.28/16.75 in(sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),set_intersection2(sK10_skl,sK12_skl))),
% 10.28/16.75 inference(resolution,[status(thm)],[f6584,f94])).
% 10.28/16.75 fof(f6646,plain,(
% 10.28/16.75 ![X0]: (~sK8_skl=ordered_pair(X0,sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl))|~in(X0,set_intersection2(sK9_skl,sK11_skl)))),
% 10.28/16.75 inference(resolution,[status(thm)],[f6586,f48])).
% 10.28/16.75 fof(f6968,plain,(
% 10.28/16.75 ![X0]: (in(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),set_intersection2(X0,sK11_skl))|~in(sK0_skl(sK8_skl,cartesian_product2(sK11_skl,sK12_skl),sK12_skl,sK11_skl),X0))),
% 10.28/16.75 inference(forward_demodulation,[status(thm)],[f4396,f101])).
% 10.28/16.75 fof(f6969,plain,(
% 10.28/16.75 ![X0]: (in(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),set_intersection2(X0,sK11_skl))|~in(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),X0))),
% 10.28/16.77 inference(forward_demodulation,[status(thm)],[f4396,f6968])).
% 10.28/16.77 fof(f6971,plain,(
% 10.28/16.77 in(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),set_intersection2(sK9_skl,sK11_skl))),
% 10.28/16.77 inference(resolution,[status(thm)],[f6969,f95])).
% 10.28/16.77 fof(f6974,plain,(
% 10.28/16.77 ~sK8_skl=ordered_pair(sK0_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl),sK1_skl(sK8_skl,cartesian_product2(sK9_skl,sK10_skl),sK10_skl,sK9_skl))),
% 10.28/16.77 inference(resolution,[status(thm)],[f6971,f6646])).
% 10.28/16.77 fof(f6985,plain,(
% 10.28/16.77 ~sK8_skl=sK8_skl),
% 10.28/16.77 inference(forward_demodulation,[status(thm)],[f127,f6974])).
% 10.28/16.77 fof(f6986,plain,(
% 10.28/16.77 $false),
% 10.28/16.77 inference(trivial_equality_resolution,[status(thm)],[f6985])).
% 10.28/16.77 % SZS output end CNFRefutation for theBenchmark.p
% 10.28/16.79 % Elapsed time: 1.397982 seconds
% 10.28/16.79 % CPU time: 10.777467 seconds
% 10.28/16.79 % Total memory used: 205.053 MB
% 10.28/16.79 % Net memory used: 195.388 MB
%------------------------------------------------------------------------------