%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET201+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:11:46 PM UTC 2026
% Result : Theorem 180.20s 23.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET201+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 05:03:20 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 180.20/23.34 % Refutation found
% 180.20/23.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 180.20/23.34 % SZS output start CNFRefutation for theBenchmark
% 180.20/23.34 fof(f1,axiom,(
% 180.20/23.34 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 180.20/23.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.20/23.34 fof(f2,axiom,(
% 180.20/23.34 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 180.20/23.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.20/23.34 fof(f3,axiom,(
% 180.20/23.34 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 180.20/23.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.20/23.34 fof(f5,axiom,(
% 180.20/23.34 (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 180.20/23.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.20/23.34 fof(f6,conjecture,(
% 180.20/23.34 (! [B,C,D,E] :( ( subset(B,C)& subset(D,E) )=> subset(intersection(B,D),intersection(C,E)) ) )),
% 180.20/23.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.20/23.34 fof(f7,negated_conjecture,(
% 180.20/23.34 ~((! [B,C,D,E] :( ( subset(B,C)& subset(D,E) )=> subset(intersection(B,D),intersection(C,E)) ) ))),
% 180.20/23.34 inference(negated_conjecture,[status(cth)],[f6])).
% 180.20/23.34 fof(f8,plain,(
% 180.20/23.34 ![B,C,D]: ((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&(member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 180.20/23.34 inference(NNF_transformation,[status(thm)],[f1])).
% 180.20/23.34 fof(f9,plain,(
% 180.20/23.34 (![B,C,D]: (~member(D,intersection(B,C))|(member(D,B)&member(D,C))))&(![B,C,D]: (member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 180.20/23.34 inference(miniscoping,[status(thm)],[f8])).
% 180.20/23.34 fof(f10,plain,(
% 180.20/23.34 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f9])).
% 180.20/23.34 fof(f11,plain,(
% 180.20/23.34 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f9])).
% 180.20/23.34 fof(f12,plain,(
% 180.20/23.34 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f9])).
% 180.20/23.34 fof(f13,plain,(
% 180.20/23.34 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 180.20/23.34 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 180.20/23.34 fof(f14,plain,(
% 180.20/23.34 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 180.20/23.34 inference(NNF_transformation,[status(thm)],[f13])).
% 180.20/23.34 fof(f15,plain,(
% 180.20/23.34 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 180.20/23.34 inference(miniscoping,[status(thm)],[f14])).
% 180.20/23.34 fof(f16,plain,(
% 180.20/23.34 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK0_skl(C,B),B)&~member(sK0_skl(C,B),C))))),
% 180.20/23.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f15])).
% 180.20/23.34 fof(f17,plain,(
% 180.20/23.34 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f16])).
% 180.20/23.34 fof(f18,plain,(
% 180.20/23.34 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f16])).
% 180.20/23.34 fof(f19,plain,(
% 180.20/23.34 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f16])).
% 180.20/23.34 fof(f20,plain,(
% 180.20/23.34 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f3])).
% 180.20/23.34 fof(f22,plain,(
% 180.20/23.34 ![B,C]: ((~B=C|(![D]: ((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C)))))&(B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 180.20/23.34 inference(NNF_transformation,[status(thm)],[f5])).
% 180.20/23.34 fof(f23,plain,(
% 180.20/23.34 (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 180.20/23.34 inference(miniscoping,[status(thm)],[f22])).
% 180.20/23.34 fof(f24,plain,(
% 180.20/23.34 (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|((~member(sK1_skl(C,B),B)|~member(sK1_skl(C,B),C))&(member(sK1_skl(C,B),B)|member(sK1_skl(C,B),C)))))),
% 180.20/23.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f23])).
% 180.20/23.34 fof(f27,plain,(
% 180.20/23.34 ![X0,X1]: (X0=X1|~member(sK1_skl(X1,X0),X0)|~member(sK1_skl(X1,X0),X1))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f24])).
% 180.20/23.34 fof(f28,plain,(
% 180.20/23.34 ![X0,X1]: (X0=X1|member(sK1_skl(X1,X0),X0)|member(sK1_skl(X1,X0),X1))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f24])).
% 180.20/23.34 fof(f29,plain,(
% 180.20/23.34 (?[B,C,D,E]: ((subset(B,C)&subset(D,E))&~subset(intersection(B,D),intersection(C,E))))),
% 180.20/23.34 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 180.20/23.34 fof(f30,plain,(
% 180.20/23.34 ((subset(sK2_skl,sK3_skl)&subset(sK4_skl,sK5_skl))&~subset(intersection(sK2_skl,sK4_skl),intersection(sK3_skl,sK5_skl)))),
% 180.20/23.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl),skolemize(E,sK5_skl)],[f29])).
% 180.20/23.34 fof(f31,plain,(
% 180.20/23.34 subset(sK2_skl,sK3_skl)),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f30])).
% 180.20/23.34 fof(f32,plain,(
% 180.20/23.34 subset(sK4_skl,sK5_skl)),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f30])).
% 180.20/23.34 fof(f33,plain,(
% 180.20/23.34 ~subset(intersection(sK2_skl,sK4_skl),intersection(sK3_skl,sK5_skl))),
% 180.20/23.34 inference(cnf_transformation,[status(thm)],[f30])).
% 180.20/23.34 fof(f42,plain,(
% 180.20/23.34 ![X0]: (~member(X0,sK4_skl)|member(X0,sK5_skl))),
% 180.20/23.34 inference(resolution,[status(thm)],[f17,f32])).
% 180.20/23.34 fof(f43,plain,(
% 180.20/23.34 ![X0]: (~member(X0,sK2_skl)|member(X0,sK3_skl))),
% 180.20/23.34 inference(resolution,[status(thm)],[f17,f31])).
% 180.20/23.34 fof(f47,plain,(
% 180.20/23.34 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X1))),
% 180.20/23.34 inference(resolution,[status(thm)],[f18,f11])).
% 180.20/23.34 fof(f48,plain,(
% 180.20/23.34 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X0))),
% 180.20/23.34 inference(resolution,[status(thm)],[f18,f10])).
% 180.20/23.34 fof(f56,plain,(
% 180.20/23.34 ![X0,X1,X2,X3]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),intersection(X1,X3))|~member(sK0_skl(X2,intersection(X0,X1)),X3))),
% 180.20/23.34 inference(resolution,[status(thm)],[f47,f12])).
% 180.20/23.34 fof(f61,plain,(
% 180.20/23.34 ![X0,X1,X2,X3]: (subset(intersection(intersection(X0,X1),X2),X3)|member(sK0_skl(X3,intersection(intersection(X0,X1),X2)),X1))),
% 180.20/23.34 inference(resolution,[status(thm)],[f48,f11])).
% 180.20/23.34 fof(f159,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2)|member(sK1_skl(X2,intersection(X0,X1)),X1))),
% 180.20/23.34 inference(resolution,[status(thm)],[f28,f11])).
% 180.20/23.34 fof(f161,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2)|member(sK1_skl(X2,intersection(X0,X1)),X0))),
% 180.20/23.34 inference(resolution,[status(thm)],[f28,f10])).
% 180.20/23.34 fof(f165,plain,(
% 180.20/23.34 ![X0,X1,X2]: (X0=X1|member(sK1_skl(X1,X0),X1)|member(sK1_skl(X1,X0),intersection(X0,X2))|~member(sK1_skl(X1,X0),X2))),
% 180.20/23.34 inference(resolution,[status(thm)],[f28,f12])).
% 180.20/23.34 fof(f171,plain,(
% 180.20/23.34 ![X0,X1,X2]: (X0=intersection(X1,X2)|member(sK1_skl(intersection(X1,X2),X0),X0)|member(sK1_skl(intersection(X1,X2),X0),X2))),
% 180.20/23.34 inference(resolution,[status(thm)],[f28,f11])).
% 180.20/23.34 fof(f172,plain,(
% 180.20/23.34 ![X0,X1,X2]: (X0=intersection(X1,X2)|member(sK1_skl(intersection(X1,X2),X0),X0)|member(sK1_skl(intersection(X1,X2),X0),X1))),
% 180.20/23.34 inference(resolution,[status(thm)],[f28,f10])).
% 180.20/23.34 fof(f185,plain,(
% 180.20/23.34 ![X0,X1,X2,X3]: (intersection(X0,X1)=intersection(X2,X3)|member(sK1_skl(intersection(X2,X3),intersection(X0,X1)),X1)|member(sK1_skl(intersection(X2,X3),intersection(X0,X1)),X3))),
% 180.20/23.34 inference(resolution,[status(thm)],[f159,f11])).
% 180.20/23.34 fof(f192,plain,(
% 180.20/23.34 ![X0,X1]: (intersection(X0,sK2_skl)=X1|member(sK1_skl(X1,intersection(X0,sK2_skl)),X1)|member(sK1_skl(X1,intersection(X0,sK2_skl)),sK3_skl))),
% 180.20/23.34 inference(resolution,[status(thm)],[f159,f43])).
% 180.20/23.34 fof(f234,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2)|member(sK1_skl(X2,intersection(X0,X1)),intersection(intersection(X0,X1),X0))|intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2))),
% 180.20/23.34 inference(resolution,[status(thm)],[f165,f161])).
% 180.20/23.34 fof(f248,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2)|member(sK1_skl(X2,intersection(X0,X1)),intersection(X0,intersection(X0,X1)))|intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f234])).
% 180.20/23.34 fof(f249,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2)|member(sK1_skl(X2,intersection(X0,X1)),intersection(X0,intersection(X0,X1))))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f248])).
% 180.20/23.34 fof(f422,plain,(
% 180.20/23.34 ![X0,X1]: (X0=intersection(X1,X0)|X0=intersection(X1,X0)|~member(sK1_skl(intersection(X1,X0),X0),intersection(X1,X0)))),
% 180.20/23.34 inference(resolution,[status(thm)],[f171,f27])).
% 180.20/23.34 fof(f469,plain,(
% 180.20/23.34 ![X0,X1]: (X0=intersection(X1,X0)|~member(sK1_skl(intersection(X1,X0),X0),intersection(X1,X0)))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f422])).
% 180.20/23.34 fof(f475,plain,(
% 180.20/23.34 ![X0,X1]: (X0=intersection(X0,X1)|X0=intersection(X0,X1)|~member(sK1_skl(intersection(X0,X1),X0),intersection(X0,X1)))),
% 180.20/23.34 inference(resolution,[status(thm)],[f172,f27])).
% 180.20/23.34 fof(f499,plain,(
% 180.20/23.34 ![X0,X1,X2]: (X0=intersection(X0,X1)|member(sK1_skl(intersection(X0,X1),X0),intersection(X0,X2))|~member(sK1_skl(intersection(X0,X1),X0),X2))),
% 180.20/23.34 inference(resolution,[status(thm)],[f172,f12])).
% 180.20/23.34 fof(f522,plain,(
% 180.20/23.34 ![X0,X1]: (X0=intersection(X0,X1)|~member(sK1_skl(intersection(X0,X1),X0),intersection(X0,X1)))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f475])).
% 180.20/23.34 fof(f1052,plain,(
% 180.20/23.34 ![X0,X1,X2,X3]: (subset(intersection(intersection(X0,X1),X2),X3)|subset(intersection(intersection(X0,X1),X2),X3)|member(sK0_skl(X3,intersection(intersection(X0,X1),X2)),intersection(X2,X1)))),
% 180.20/23.34 inference(resolution,[status(thm)],[f61,f56])).
% 180.20/23.34 fof(f1073,plain,(
% 180.20/23.34 ![X0,X1,X2,X3]: (subset(intersection(intersection(X0,X1),X2),X3)|member(sK0_skl(X3,intersection(intersection(X0,X1),X2)),intersection(X2,X1)))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f1052])).
% 180.20/23.34 fof(f1841,plain,(
% 180.20/23.34 ![X0,X1]: (X0=intersection(X0,X1)|~member(sK1_skl(intersection(X1,X0),X0),intersection(X0,X1)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f20,f522])).
% 180.20/23.34 fof(f2005,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,sK2_skl)=intersection(X1,X2)|member(sK1_skl(intersection(X1,X2),intersection(X0,sK2_skl)),sK3_skl)|member(sK1_skl(intersection(X1,X2),intersection(X0,sK2_skl)),X2))),
% 180.20/23.34 inference(resolution,[status(thm)],[f192,f11])).
% 180.20/23.34 fof(f2074,plain,(
% 180.20/23.34 ![X0,X1]: (X0=intersection(X0,X1)|~member(sK1_skl(intersection(X1,X0),X0),intersection(X1,X0)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f20,f1841])).
% 180.20/23.34 fof(f2139,plain,(
% 180.20/23.34 ![X0,X1,X2]: (intersection(X0,sK4_skl)=intersection(X1,X2)|member(sK1_skl(intersection(X1,X2),intersection(X0,sK4_skl)),X2)|member(sK1_skl(intersection(X1,X2),intersection(X0,sK4_skl)),sK5_skl))),
% 180.20/23.34 inference(resolution,[status(thm)],[f185,f42])).
% 180.20/23.34 fof(f7534,plain,(
% 180.20/23.34 ![X0,X1]: (intersection(X0,X1)=intersection(X0,intersection(X0,X1))|intersection(X0,X1)=intersection(intersection(X0,X1),X0))),
% 180.20/23.34 inference(resolution,[status(thm)],[f249,f2074])).
% 180.20/23.34 fof(f7630,plain,(
% 180.20/23.34 ![X0,X1]: (intersection(X0,X1)=intersection(X0,intersection(X0,X1))|intersection(X0,X1)=intersection(X0,intersection(X0,X1)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f7534])).
% 180.20/23.34 fof(f7631,plain,(
% 180.20/23.34 ![X0,X1]: (intersection(X0,X1)=intersection(X0,intersection(X0,X1)))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f7630])).
% 180.20/23.34 fof(f7949,plain,(
% 180.20/23.34 ![X0,X1]: (intersection(X0,X1)=intersection(X0,intersection(X1,X0)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f20,f7631])).
% 180.20/23.34 fof(f39170,plain,(
% 180.20/23.34 ![X0,X1,X2]: (subset(intersection(intersection(X0,X1),X2),intersection(X2,X1))|subset(intersection(intersection(X0,X1),X2),intersection(X2,X1)))),
% 180.20/23.34 inference(resolution,[status(thm)],[f1073,f19])).
% 180.20/23.34 fof(f39267,plain,(
% 180.20/23.34 ![X0,X1,X2]: (subset(intersection(intersection(X0,X1),X2),intersection(X2,X1)))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f39170])).
% 180.20/23.34 fof(f39667,plain,(
% 180.20/23.34 ![X0,X1,X2]: (subset(intersection(X0,intersection(X1,X2)),intersection(X0,X2)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f20,f39267])).
% 180.20/23.34 fof(f39730,plain,(
% 180.20/23.34 ![X0,X1,X2]: (subset(intersection(X0,intersection(X1,X2)),intersection(X0,X1)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f20,f39667])).
% 180.20/23.34 fof(f68188,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(intersection(X0,sK2_skl),sK3_skl)|intersection(X0,sK2_skl)=intersection(intersection(X0,sK2_skl),sK3_skl)|member(sK1_skl(intersection(intersection(X0,sK2_skl),sK3_skl),intersection(X0,sK2_skl)),intersection(intersection(X0,sK2_skl),sK3_skl)))),
% 180.20/23.34 inference(resolution,[status(thm)],[f2005,f499])).
% 180.20/23.34 fof(f68339,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|intersection(X0,sK2_skl)=intersection(intersection(X0,sK2_skl),sK3_skl)|member(sK1_skl(intersection(intersection(X0,sK2_skl),sK3_skl),intersection(X0,sK2_skl)),intersection(intersection(X0,sK2_skl),sK3_skl)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f68188])).
% 180.20/23.34 fof(f68340,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|member(sK1_skl(intersection(intersection(X0,sK2_skl),sK3_skl),intersection(X0,sK2_skl)),intersection(intersection(X0,sK2_skl),sK3_skl)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f68339])).
% 180.20/23.34 fof(f68341,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|member(sK1_skl(intersection(sK3_skl,intersection(X0,sK2_skl)),intersection(X0,sK2_skl)),intersection(intersection(X0,sK2_skl),sK3_skl)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f68340])).
% 180.20/23.34 fof(f68342,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|member(sK1_skl(intersection(sK3_skl,intersection(X0,sK2_skl)),intersection(X0,sK2_skl)),intersection(sK3_skl,intersection(X0,sK2_skl))))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f68341])).
% 180.20/23.34 fof(f68343,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl))|member(sK1_skl(intersection(sK3_skl,intersection(X0,sK2_skl)),intersection(X0,sK2_skl)),intersection(sK3_skl,intersection(X0,sK2_skl))))),
% 180.20/23.34 inference(duplicate_literals_removal,[status(thm)],[f68342])).
% 180.20/23.34 fof(f68344,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(X0,sK2_skl)))),
% 180.20/23.34 inference(forward_subsumption_resolution,[status(thm)],[f68343,f469])).
% 180.20/23.34 fof(f68784,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK2_skl)=intersection(sK3_skl,intersection(sK2_skl,X0)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f20,f68344])).
% 180.20/23.34 fof(f70981,plain,(
% 180.20/23.34 ![X0]: (intersection(intersection(X0,sK2_skl),sK2_skl)=intersection(sK3_skl,intersection(sK2_skl,X0)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f7949,f68784])).
% 180.20/23.34 fof(f71689,plain,(
% 180.20/23.34 ![X0]: (intersection(sK2_skl,intersection(X0,sK2_skl))=intersection(sK3_skl,intersection(sK2_skl,X0)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f70981])).
% 180.20/23.34 fof(f71690,plain,(
% 180.20/23.34 ![X0]: (intersection(sK2_skl,X0)=intersection(sK3_skl,intersection(sK2_skl,X0)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f7949,f71689])).
% 180.20/23.34 fof(f73570,plain,(
% 180.20/23.34 ![X0,X1]: (subset(intersection(X0,intersection(sK2_skl,X1)),intersection(X0,sK3_skl)))),
% 180.20/23.34 inference(paramodulation,[status(thm)],[f71690,f39730])).
% 180.20/23.34 fof(f90927,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK4_skl)=intersection(intersection(X0,sK4_skl),sK5_skl)|intersection(X0,sK4_skl)=intersection(intersection(X0,sK4_skl),sK5_skl)|member(sK1_skl(intersection(intersection(X0,sK4_skl),sK5_skl),intersection(X0,sK4_skl)),intersection(intersection(X0,sK4_skl),sK5_skl)))),
% 180.20/23.34 inference(resolution,[status(thm)],[f2139,f499])).
% 180.20/23.34 fof(f91098,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|intersection(X0,sK4_skl)=intersection(intersection(X0,sK4_skl),sK5_skl)|member(sK1_skl(intersection(intersection(X0,sK4_skl),sK5_skl),intersection(X0,sK4_skl)),intersection(intersection(X0,sK4_skl),sK5_skl)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f90927])).
% 180.20/23.34 fof(f91099,plain,(
% 180.20/23.34 ![X0]: (intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|member(sK1_skl(intersection(intersection(X0,sK4_skl),sK5_skl),intersection(X0,sK4_skl)),intersection(intersection(X0,sK4_skl),sK5_skl)))),
% 180.20/23.34 inference(forward_demodulation,[status(thm)],[f20,f91098])).
% 180.93/23.42 fof(f91100,plain,(
% 180.93/23.42 ![X0]: (intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|member(sK1_skl(intersection(sK5_skl,intersection(X0,sK4_skl)),intersection(X0,sK4_skl)),intersection(intersection(X0,sK4_skl),sK5_skl)))),
% 180.93/23.42 inference(forward_demodulation,[status(thm)],[f20,f91099])).
% 180.93/23.42 fof(f91101,plain,(
% 180.93/23.42 ![X0]: (intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|member(sK1_skl(intersection(sK5_skl,intersection(X0,sK4_skl)),intersection(X0,sK4_skl)),intersection(sK5_skl,intersection(X0,sK4_skl))))),
% 180.93/23.42 inference(forward_demodulation,[status(thm)],[f20,f91100])).
% 180.93/23.42 fof(f91102,plain,(
% 180.93/23.42 ![X0]: (intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl))|member(sK1_skl(intersection(sK5_skl,intersection(X0,sK4_skl)),intersection(X0,sK4_skl)),intersection(sK5_skl,intersection(X0,sK4_skl))))),
% 180.93/23.42 inference(duplicate_literals_removal,[status(thm)],[f91101])).
% 180.93/23.42 fof(f91103,plain,(
% 180.93/23.42 ![X0]: (intersection(X0,sK4_skl)=intersection(sK5_skl,intersection(X0,sK4_skl)))),
% 180.93/23.42 inference(forward_subsumption_resolution,[status(thm)],[f91102,f469])).
% 180.93/23.42 fof(f91316,plain,(
% 180.93/23.42 subset(intersection(sK2_skl,sK4_skl),intersection(sK5_skl,sK3_skl))),
% 180.93/23.42 inference(paramodulation,[status(thm)],[f91103,f73570])).
% 180.93/23.42 fof(f92097,plain,(
% 180.93/23.42 subset(intersection(sK2_skl,sK4_skl),intersection(sK3_skl,sK5_skl))),
% 180.93/23.42 inference(forward_demodulation,[status(thm)],[f20,f91316])).
% 180.93/23.42 fof(f92098,plain,(
% 180.93/23.42 $false),
% 180.93/23.42 inference(forward_subsumption_resolution,[status(thm)],[f92097,f33])).
% 180.93/23.42 % SZS output end CNFRefutation for theBenchmark.p
% 67.70/23.47 % Elapsed time: 23.010995 seconds
% 67.70/23.47 % CPU time: 181.719105 seconds
% 67.70/23.47 % Total memory used: 720.337 MB
% 67.70/23.47 % Net memory used: 665.033 MB
%------------------------------------------------------------------------------