%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET767+4 : 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 : n010.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 02:12:34 PM UTC 2026
% Result : Theorem 0.20s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n010.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 05:37:09 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f1,axiom,(
% 0.20/0.52 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f15,axiom,(
% 0.20/0.52 (! [R,E,A,X] :( member(X,equivalence_class(A,E,R))<=> ( member(X,E)& apply(R,A,X) ) ) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f17,conjecture,(
% 0.20/0.52 (! [E,R,A] :( equivalence(R,E)=> subset(equivalence_class(A,E,R),E) ) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f18,negated_conjecture,(
% 0.20/0.52 ~((! [E,R,A] :( equivalence(R,E)=> subset(equivalence_class(A,E,R),E) ) ))),
% 0.20/0.52 inference(negated_conjecture,[status(cth)],[f17])).
% 0.20/0.52 fof(f19,plain,(
% 0.20/0.52 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.20/0.52 fof(f20,plain,(
% 0.20/0.52 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.20/0.52 inference(NNF_transformation,[status(thm)],[f19])).
% 0.20/0.52 fof(f21,plain,(
% 0.20/0.52 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.20/0.52 inference(miniscoping,[status(thm)],[f20])).
% 0.20/0.52 fof(f22,plain,(
% 0.20/0.52 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 0.20/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f21])).
% 0.20/0.52 fof(f24,plain,(
% 0.20/0.52 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f22])).
% 0.20/0.52 fof(f25,plain,(
% 0.20/0.52 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f22])).
% 0.20/0.52 fof(f107,plain,(
% 0.20/0.52 ![R,E,A,X]: ((~member(X,equivalence_class(A,E,R))|(member(X,E)&apply(R,A,X)))&(member(X,equivalence_class(A,E,R))|(~member(X,E)|~apply(R,A,X))))),
% 0.20/0.52 inference(NNF_transformation,[status(thm)],[f15])).
% 0.20/0.52 fof(f108,plain,(
% 0.20/0.52 (![R,E,A,X]: (~member(X,equivalence_class(A,E,R))|(member(X,E)&apply(R,A,X))))&(![R,E,A,X]: (member(X,equivalence_class(A,E,R))|(~member(X,E)|~apply(R,A,X))))),
% 0.20/0.52 inference(miniscoping,[status(thm)],[f107])).
% 0.20/0.52 fof(f109,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~member(X0,equivalence_class(X1,X2,X3))|member(X0,X2))),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f108])).
% 0.20/0.52 fof(f126,plain,(
% 0.20/0.52 (?[E,R,A]: (equivalence(R,E)&~subset(equivalence_class(A,E,R),E)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.20/0.52 fof(f127,plain,(
% 0.20/0.52 ?[E,R]: (equivalence(R,E)&(?[A]: ~subset(equivalence_class(A,E,R),E)))),
% 0.20/0.52 inference(miniscoping,[status(thm)],[f126])).
% 0.20/0.52 fof(f128,plain,(
% 0.20/0.52 (equivalence(sK15_skl,sK14_skl)&~subset(equivalence_class(sK16_skl,sK14_skl,sK15_skl),sK14_skl))),
% 0.20/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(E,sK14_skl),skolemize(R,sK15_skl),skolemize(A,sK16_skl)],[f127])).
% 0.20/0.52 fof(f130,plain,(
% 0.20/0.52 ~subset(equivalence_class(sK16_skl,sK14_skl,sK15_skl),sK14_skl)),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f128])).
% 0.20/0.52 fof(f168,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (subset(equivalence_class(X0,X1,X2),X3)|member(sK0_skl(X3,equivalence_class(X0,X1,X2)),X1))),
% 0.20/0.52 inference(resolution,[status(thm)],[f24,f109])).
% 0.20/0.52 fof(f187,plain,(
% 0.20/0.52 ![X0,X1,X2]: (subset(equivalence_class(X0,X1,X2),X1)|subset(equivalence_class(X0,X1,X2),X1))),
% 0.20/0.52 inference(resolution,[status(thm)],[f168,f25])).
% 0.20/0.52 fof(f195,plain,(
% 0.20/0.52 ![X0,X1,X2]: (subset(equivalence_class(X0,X1,X2),X1))),
% 0.20/0.52 inference(duplicate_literals_removal,[status(thm)],[f187])).
% 0.20/0.52 fof(f197,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(backward_subsumption_resolution,[status(thm)],[f130,f195])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.55 % Elapsed time: 0.092463 seconds
% 0.20/0.55 % CPU time: 0.184623 seconds
% 0.20/0.55 % Total memory used: 31.734 MB
% 0.20/0.55 % Net memory used: 31.679 MB
%------------------------------------------------------------------------------