%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET578+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:12:12 PM UTC 2026
% Result : Theorem 0.15s 10.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET578+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n005.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 05:26:59 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.40 % Drodi V4.1.1
% 0.15/10.91 % Refutation found
% 0.15/10.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.91 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.91 fof(f1,axiom,(
% 0.15/10.91 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.15/10.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.91 fof(f2,axiom,(
% 0.15/10.91 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.15/10.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.91 fof(f3,axiom,(
% 0.15/10.91 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.15/10.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.91 fof(f4,axiom,(
% 0.15/10.91 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.15/10.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.91 fof(f6,axiom,(
% 0.15/10.91 (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 0.15/10.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.91 fof(f7,conjecture,(
% 0.15/10.91 (! [B,C,D] :( (! [E] :( member(E,B)<=> ( member(E,C)& member(E,D) ) ))=> B = intersection(C,D) ) )),
% 0.15/10.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.91 fof(f8,negated_conjecture,(
% 0.15/10.91 ~((! [B,C,D] :( (! [E] :( member(E,B)<=> ( member(E,C)& member(E,D) ) ))=> B = intersection(C,D) ) ))),
% 0.15/10.91 inference(negated_conjecture,[status(cth)],[f7])).
% 0.15/10.91 fof(f9,plain,(
% 0.15/10.91 ![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))))),
% 0.15/10.91 inference(NNF_transformation,[status(thm)],[f1])).
% 0.15/10.91 fof(f10,plain,(
% 0.15/10.91 (![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))))),
% 0.15/10.91 inference(miniscoping,[status(thm)],[f9])).
% 0.15/10.91 fof(f11,plain,(
% 0.15/10.91 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.91 fof(f12,plain,(
% 0.15/10.91 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.91 fof(f13,plain,(
% 0.15/10.91 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.91 fof(f14,plain,(
% 0.15/10.91 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.15/10.91 inference(NNF_transformation,[status(thm)],[f2])).
% 0.15/10.91 fof(f15,plain,(
% 0.15/10.91 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.15/10.91 inference(miniscoping,[status(thm)],[f14])).
% 0.15/10.91 fof(f18,plain,(
% 0.15/10.91 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/10.91 fof(f19,plain,(
% 0.15/10.91 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.91 fof(f20,plain,(
% 0.15/10.91 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.15/10.91 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/10.91 fof(f21,plain,(
% 0.15/10.91 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.15/10.91 inference(NNF_transformation,[status(thm)],[f20])).
% 0.15/10.91 fof(f22,plain,(
% 0.15/10.91 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.15/10.91 inference(miniscoping,[status(thm)],[f21])).
% 0.15/10.91 fof(f23,plain,(
% 0.15/10.91 (![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))))),
% 0.15/10.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f22])).
% 0.15/10.91 fof(f25,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/10.91 fof(f26,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/10.91 fof(f28,plain,(
% 0.15/10.91 ![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))))))),
% 0.15/10.91 inference(NNF_transformation,[status(thm)],[f6])).
% 0.15/10.91 fof(f29,plain,(
% 0.15/10.91 (![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))))))),
% 0.15/10.91 inference(miniscoping,[status(thm)],[f28])).
% 0.15/10.91 fof(f30,plain,(
% 0.15/10.91 (![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)))))),
% 0.15/10.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f29])).
% 0.15/10.91 fof(f33,plain,(
% 0.15/10.91 ![X0,X1]: (X0=X1|~member(sK1_skl(X1,X0),X0)|~member(sK1_skl(X1,X0),X1))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/10.91 fof(f34,plain,(
% 0.15/10.91 ![X0,X1]: (X0=X1|member(sK1_skl(X1,X0),X0)|member(sK1_skl(X1,X0),X1))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/10.91 fof(f35,plain,(
% 0.15/10.91 (?[B,C,D]: ((![E]: (member(E,B)<=>(member(E,C)&member(E,D))))&~B=intersection(C,D)))),
% 0.15/10.91 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/10.91 fof(f36,plain,(
% 0.15/10.91 ?[B,C,D]: ((![E]: ((~member(E,B)|(member(E,C)&member(E,D)))&(member(E,B)|(~member(E,C)|~member(E,D)))))&~B=intersection(C,D))),
% 0.15/10.91 inference(NNF_transformation,[status(thm)],[f35])).
% 0.15/10.91 fof(f37,plain,(
% 0.15/10.91 ?[B,C,D]: (((![E]: (~member(E,B)|(member(E,C)&member(E,D))))&(![E]: (member(E,B)|(~member(E,C)|~member(E,D)))))&~B=intersection(C,D))),
% 0.15/10.91 inference(miniscoping,[status(thm)],[f36])).
% 0.15/10.91 fof(f38,plain,(
% 0.15/10.91 (((![E]: (~member(E,sK2_skl)|(member(E,sK3_skl)&member(E,sK4_skl))))&(![E]: (member(E,sK2_skl)|(~member(E,sK3_skl)|~member(E,sK4_skl)))))&~sK2_skl=intersection(sK3_skl,sK4_skl))),
% 0.15/10.91 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f37])).
% 0.15/10.91 fof(f39,plain,(
% 0.15/10.91 ![X0]: (~member(X0,sK2_skl)|member(X0,sK3_skl))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/10.91 fof(f40,plain,(
% 0.15/10.91 ![X0]: (~member(X0,sK2_skl)|member(X0,sK4_skl))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/10.91 fof(f41,plain,(
% 0.15/10.91 ![X0]: (member(X0,sK2_skl)|~member(X0,sK3_skl)|~member(X0,sK4_skl))),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/10.91 fof(f42,plain,(
% 0.15/10.91 ~sK2_skl=intersection(sK3_skl,sK4_skl)),
% 0.15/10.91 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/10.91 fof(f56,plain,(
% 0.15/10.91 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X1))),
% 0.15/10.91 inference(resolution,[status(thm)],[f25,f12])).
% 0.15/10.91 fof(f57,plain,(
% 0.15/10.91 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X0))),
% 0.15/10.91 inference(resolution,[status(thm)],[f25,f11])).
% 0.15/10.91 fof(f59,plain,(
% 0.15/10.91 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),sK4_skl))),
% 0.15/10.91 inference(resolution,[status(thm)],[f25,f40])).
% 0.15/10.91 fof(f60,plain,(
% 0.15/10.91 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),sK3_skl))),
% 0.15/10.91 inference(resolution,[status(thm)],[f25,f39])).
% 0.15/10.91 fof(f61,plain,(
% 0.15/10.91 ![X0,X1,X2]: (subset(X0,X1)|member(sK0_skl(X1,X0),intersection(X2,X0))|~member(sK0_skl(X1,X0),X2))),
% 0.15/10.91 inference(resolution,[status(thm)],[f25,f13])).
% 0.15/10.91 fof(f62,plain,(
% 0.15/10.91 ![X0,X1]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(X1,sK4_skl))|~member(sK0_skl(X0,sK2_skl),X1))),
% 0.15/10.91 inference(resolution,[status(thm)],[f59,f13])).
% 0.15/10.91 fof(f79,plain,(
% 0.15/10.91 ![X0,X1]: (subset(intersection(X0,X1),X0)|subset(intersection(X0,X1),X0))),
% 0.15/10.91 inference(resolution,[status(thm)],[f26,f57])).
% 0.15/10.91 fof(f80,plain,(
% 0.15/10.91 ![X0,X1]: (subset(intersection(X0,X1),X1)|subset(intersection(X0,X1),X1))),
% 0.15/10.91 inference(resolution,[status(thm)],[f26,f56])).
% 0.15/10.91 fof(f83,plain,(
% 0.15/10.91 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f79])).
% 0.15/10.91 fof(f84,plain,(
% 0.15/10.91 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f80])).
% 0.15/10.91 fof(f88,plain,(
% 0.15/10.91 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,intersection(X0,X1)))),
% 0.15/10.91 inference(resolution,[status(thm)],[f83,f18])).
% 0.15/10.91 fof(f91,plain,(
% 0.15/10.91 ![X0,X1]: (X0=intersection(X1,X0)|~subset(X0,intersection(X1,X0)))),
% 0.15/10.91 inference(resolution,[status(thm)],[f84,f18])).
% 0.15/10.91 fof(f98,plain,(
% 0.15/10.91 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,intersection(X1,X0)))),
% 0.15/10.91 inference(paramodulation,[status(thm)],[f19,f88])).
% 0.15/10.91 fof(f100,plain,(
% 0.15/10.91 ![X0,X1]: (X0=intersection(X1,X0)|~subset(X0,intersection(X0,X1)))),
% 0.15/10.91 inference(paramodulation,[status(thm)],[f19,f91])).
% 0.15/10.91 fof(f117,plain,(
% 0.15/10.91 ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sK1_skl(X2,intersection(X0,X1)),X2)|member(sK1_skl(X2,intersection(X0,X1)),X0))),
% 0.15/10.91 inference(resolution,[status(thm)],[f34,f11])).
% 0.15/10.91 fof(f129,plain,(
% 0.15/10.91 ![X0,X1,X2]: (X0=intersection(X1,X2)|member(sK1_skl(intersection(X1,X2),X0),X0)|member(sK1_skl(intersection(X1,X2),X0),X2))),
% 0.15/10.91 inference(resolution,[status(thm)],[f34,f12])).
% 0.15/10.91 fof(f130,plain,(
% 0.15/10.91 ![X0,X1,X2]: (X0=intersection(X1,X2)|member(sK1_skl(intersection(X1,X2),X0),X0)|member(sK1_skl(intersection(X1,X2),X0),X1))),
% 0.15/10.91 inference(resolution,[status(thm)],[f34,f11])).
% 0.15/10.91 fof(f180,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,intersection(X1,X0))|~member(sK0_skl(intersection(X1,X0),X0),X1)|subset(X0,intersection(X1,X0)))),
% 0.15/10.91 inference(resolution,[status(thm)],[f61,f26])).
% 0.15/10.91 fof(f187,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,intersection(X1,X0))|~member(sK0_skl(intersection(X1,X0),X0),X1))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f180])).
% 0.15/10.91 fof(f229,plain,(
% 0.15/10.91 ![X0,X1]: (subset(intersection(X0,X1),intersection(X0,intersection(X0,X1)))|subset(intersection(X0,X1),intersection(X0,intersection(X0,X1))))),
% 0.15/10.91 inference(resolution,[status(thm)],[f187,f57])).
% 0.15/10.91 fof(f233,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,intersection(intersection(X1,X0),X0))|subset(X0,intersection(intersection(X1,X0),X0))|~member(sK0_skl(intersection(intersection(X1,X0),X0),X0),X1))),
% 0.15/10.91 inference(resolution,[status(thm)],[f187,f61])).
% 0.15/10.91 fof(f238,plain,(
% 0.15/10.91 ![X0,X1]: (subset(intersection(X0,X1),intersection(X0,intersection(X0,X1))))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f229])).
% 0.15/10.91 fof(f242,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,intersection(intersection(X1,X0),X0))|~member(sK0_skl(intersection(intersection(X1,X0),X0),X0),X1))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f233])).
% 0.15/10.91 fof(f445,plain,(
% 0.15/10.91 ![X0,X1]: (intersection(X0,X1)=intersection(intersection(X0,X1),X0))),
% 0.15/10.91 inference(resolution,[status(thm)],[f238,f98])).
% 0.15/10.91 fof(f513,plain,(
% 0.15/10.91 ![X0,X1]: (intersection(X0,X1)=X0|intersection(X0,X1)=X0|~member(sK1_skl(X0,intersection(X0,X1)),intersection(X0,X1)))),
% 0.15/10.91 inference(resolution,[status(thm)],[f117,f33])).
% 0.15/10.91 fof(f551,plain,(
% 0.15/10.91 ![X0,X1]: (intersection(X0,X1)=X0|~member(sK1_skl(X0,intersection(X0,X1)),intersection(X0,X1)))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f513])).
% 0.15/10.91 fof(f637,plain,(
% 0.15/10.91 ![X0,X1]: (intersection(X0,X1)=intersection(intersection(X1,X0),X0))),
% 0.15/10.91 inference(paramodulation,[status(thm)],[f19,f445])).
% 0.15/10.91 fof(f670,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,intersection(intersection(X1,X0),X0))|~member(sK0_skl(intersection(X0,X1),X0),X1))),
% 0.15/10.91 inference(backward_demodulation,[status(thm)],[f637,f242])).
% 0.15/10.91 fof(f691,plain,(
% 0.15/10.91 ![X0,X1]: (subset(X0,intersection(X0,X1))|~member(sK0_skl(intersection(X0,X1),X0),X1))),
% 0.15/10.91 inference(forward_demodulation,[status(thm)],[f637,f670])).
% 0.15/10.91 fof(f2900,plain,(
% 0.15/10.91 ![X0,X1]: (intersection(X0,X1)=X0|~member(sK1_skl(X0,intersection(X1,X0)),intersection(X0,X1)))),
% 0.15/10.91 inference(paramodulation,[status(thm)],[f19,f551])).
% 0.15/10.91 fof(f3095,plain,(
% 0.15/10.91 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(sK3_skl,sK4_skl))|subset(sK2_skl,X0))),
% 0.15/10.91 inference(resolution,[status(thm)],[f62,f60])).
% 0.15/10.91 fof(f3100,plain,(
% 0.15/10.91 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(sK3_skl,sK4_skl)))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f3095])).
% 0.15/10.91 fof(f3564,plain,(
% 0.15/10.91 subset(sK2_skl,intersection(sK2_skl,intersection(sK3_skl,sK4_skl)))|subset(sK2_skl,intersection(sK2_skl,intersection(sK3_skl,sK4_skl)))),
% 0.15/10.91 inference(resolution,[status(thm)],[f3100,f691])).
% 0.15/10.91 fof(f3575,plain,(
% 0.15/10.91 subset(sK2_skl,intersection(sK2_skl,intersection(sK3_skl,sK4_skl)))),
% 0.15/10.91 inference(duplicate_literals_removal,[status(thm)],[f3564])).
% 0.15/10.91 fof(f3763,plain,(
% 0.15/10.91 sK2_skl=intersection(intersection(sK3_skl,sK4_skl),sK2_skl)),
% 0.15/10.91 inference(resolution,[status(thm)],[f3575,f100])).
% 0.15/10.91 fof(f3764,plain,(
% 0.15/10.91 sK2_skl=intersection(sK2_skl,intersection(sK3_skl,sK4_skl))),
% 0.15/10.91 inference(resolution,[status(thm)],[f3575,f88])).
% 0.15/10.91 fof(f3791,plain,(
% 0.15/10.91 intersection(intersection(sK3_skl,sK4_skl),sK2_skl)=intersection(sK3_skl,sK4_skl)|~member(sK1_skl(intersection(sK3_skl,sK4_skl),intersection(sK2_skl,intersection(sK3_skl,sK4_skl))),sK2_skl)),
% 0.15/10.91 inference(paramodulation,[status(thm)],[f3763,f2900])).
% 0.15/10.92 fof(f3854,plain,(
% 0.15/10.92 sK2_skl=intersection(sK3_skl,sK4_skl)|~member(sK1_skl(intersection(sK3_skl,sK4_skl),intersection(sK2_skl,intersection(sK3_skl,sK4_skl))),sK2_skl)),
% 0.15/10.92 inference(forward_demodulation,[status(thm)],[f3763,f3791])).
% 0.15/10.92 fof(f3855,plain,(
% 0.15/10.92 sK2_skl=intersection(sK3_skl,sK4_skl)|~member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK2_skl)),
% 0.15/10.92 inference(forward_demodulation,[status(thm)],[f3764,f3854])).
% 0.15/10.92 fof(f3856,plain,(
% 0.15/10.92 ~member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK2_skl)),
% 0.15/10.92 inference(forward_subsumption_resolution,[status(thm)],[f3855,f42])).
% 0.15/10.92 fof(f5040,plain,(
% 0.15/10.92 sK2_skl=intersection(sK3_skl,sK4_skl)|member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK3_skl)),
% 0.15/10.92 inference(resolution,[status(thm)],[f3856,f130])).
% 0.15/10.92 fof(f5041,plain,(
% 0.15/10.92 sK2_skl=intersection(sK3_skl,sK4_skl)|member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK4_skl)),
% 0.15/10.92 inference(resolution,[status(thm)],[f3856,f129])).
% 0.15/10.92 fof(f5046,plain,(
% 0.15/10.92 member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK3_skl)),
% 0.15/10.92 inference(forward_subsumption_resolution,[status(thm)],[f5040,f42])).
% 0.15/10.92 fof(f5047,plain,(
% 0.15/10.92 member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK4_skl)),
% 0.15/10.92 inference(forward_subsumption_resolution,[status(thm)],[f5041,f42])).
% 0.15/10.92 fof(f5321,plain,(
% 0.15/10.92 member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK2_skl)|~member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK4_skl)),
% 0.15/10.92 inference(resolution,[status(thm)],[f5046,f41])).
% 0.15/10.92 fof(f5329,plain,(
% 0.15/10.92 ~member(sK1_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK4_skl)),
% 0.15/10.92 inference(forward_subsumption_resolution,[status(thm)],[f5321,f3856])).
% 0.15/10.92 fof(f5330,plain,(
% 0.15/10.92 $false),
% 0.15/10.92 inference(backward_subsumption_resolution,[status(thm)],[f5047,f5329])).
% 0.15/10.92 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.93 % Elapsed time: 0.527178 seconds
% 0.15/10.93 % CPU time: 3.956768 seconds
% 0.15/10.93 % Total memory used: 151.428 MB
% 0.15/10.93 % Net memory used: 144.558 MB
%------------------------------------------------------------------------------