%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET602+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 : n016.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 02:12:16 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET602+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:33:22 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (! [B,C] :( difference(B,C) = empty_set<=> subset(B,C) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,axiom,(
% 0.08/0.38 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f8,conjecture,(
% 0.08/0.38 (! [B] : difference(B,B) = empty_set )),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f9,negated_conjecture,(
% 0.08/0.38 ~((! [B] : difference(B,B) = empty_set ))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f8])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ![B,C]: ((~difference(B,C)=empty_set|subset(B,C))&(difference(B,C)=empty_set|~subset(B,C)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f1])).
% 0.08/0.38 fof(f11,plain,(
% 0.08/0.38 (![B,C]: (~difference(B,C)=empty_set|subset(B,C)))&(![B,C]: (difference(B,C)=empty_set|~subset(B,C)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f10])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 ![X0,X1]: (difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.38 fof(f20,plain,(
% 0.08/0.38 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.08/0.38 fof(f21,plain,(
% 0.08/0.38 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f20])).
% 0.08/0.38 fof(f22,plain,(
% 0.08/0.38 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.38 fof(f38,plain,(
% 0.08/0.38 (?[B]: ~difference(B,B)=empty_set)),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.08/0.38 fof(f39,plain,(
% 0.08/0.38 ~difference(sK2_skl,sK2_skl)=empty_set),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(B,sK2_skl)],[f38])).
% 0.08/0.38 fof(f40,plain,(
% 0.08/0.38 ~difference(sK2_skl,sK2_skl)=empty_set),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f39])).
% 0.08/0.38 fof(f41,plain,(
% 0.08/0.38 ![X0]: (subset(X0,X0))),
% 0.08/0.38 inference(destructive_equality_resolution,[status(thm)],[f22])).
% 0.08/0.38 fof(f43,plain,(
% 0.08/0.38 ![X0]: (difference(X0,X0)=empty_set)),
% 0.08/0.38 inference(resolution,[status(thm)],[f41,f13])).
% 0.08/0.38 fof(f44,plain,(
% 0.08/0.38 ~empty_set=empty_set),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f43,f40])).
% 0.08/0.38 fof(f49,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(trivial_equality_resolution,[status(thm)],[f44])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.060944 seconds
% 0.15/0.42 % CPU time: 0.181893 seconds
% 0.15/0.42 % Total memory used: 79.942 MB
% 0.15/0.42 % Net memory used: 79.498 MB
%------------------------------------------------------------------------------