%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU172+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:21:53 PM UTC 2026
% Result : Theorem 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU172+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:57:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f17,axiom,(
% 0.14/0.48 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f18,axiom,(
% 0.14/0.48 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f96,conjecture,(
% 0.14/0.48 (! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) )),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f97,negated_conjecture,(
% 0.14/0.48 ~((! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) ))),
% 0.14/0.48 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.48 fof(f204,plain,(
% 0.14/0.48 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.14/0.48 inference(NNF_transformation,[status(thm)],[f17])).
% 0.14/0.48 fof(f205,plain,(
% 0.14/0.48 (![A,B,C]: (~C=set_difference(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_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f204])).
% 0.14/0.48 fof(f206,plain,(
% 0.14/0.48 (![A,B,C]: (~C=set_difference(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_difference(A,B)|((~in(sK15_skl(C,B,A),C)|(~in(sK15_skl(C,B,A),A)|in(sK15_skl(C,B,A),B)))&(in(sK15_skl(C,B,A),C)|(in(sK15_skl(C,B,A),A)&~in(sK15_skl(C,B,A),B))))))),
% 0.14/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(D,sK15_skl(C,B,A))],[f205])).
% 0.14/0.48 fof(f208,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f206])).
% 0.14/0.48 fof(f213,plain,(
% 0.14/0.48 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 0.14/0.48 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.14/0.48 fof(f214,plain,(
% 0.14/0.48 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f213])).
% 0.14/0.48 fof(f389,plain,(
% 0.14/0.48 (?[A,B,C]: (element(C,powerset(A))&(in(B,subset_complement(A,C))&in(B,C))))),
% 0.14/0.48 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.48 fof(f390,plain,(
% 0.14/0.48 ?[A,C]: (element(C,powerset(A))&(?[B]: (in(B,subset_complement(A,C))&in(B,C))))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f389])).
% 0.14/0.48 fof(f391,plain,(
% 0.14/0.48 (element(sK26_skl,powerset(sK25_skl))&(in(sK27_skl,subset_complement(sK25_skl,sK26_skl))&in(sK27_skl,sK26_skl)))),
% 0.14/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl,sK26_skl,sK27_skl]),skolemize(A,sK25_skl),skolemize(C,sK26_skl),skolemize(B,sK27_skl)],[f390])).
% 0.14/0.48 fof(f392,plain,(
% 0.14/0.48 element(sK26_skl,powerset(sK25_skl))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f391])).
% 0.14/0.48 fof(f393,plain,(
% 0.14/0.48 in(sK27_skl,subset_complement(sK25_skl,sK26_skl))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f391])).
% 0.14/0.48 fof(f394,plain,(
% 0.14/0.48 in(sK27_skl,sK26_skl)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f391])).
% 0.14/0.48 fof(f467,plain,(
% 0.14/0.48 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 0.14/0.48 inference(destructive_equality_resolution,[status(thm)],[f208])).
% 0.14/0.48 fof(f500,plain,(
% 0.14/0.48 subset_complement(sK25_skl,sK26_skl)=set_difference(sK25_skl,sK26_skl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f214,f392])).
% 0.14/0.48 fof(f522,plain,(
% 0.14/0.48 in(sK27_skl,set_difference(sK25_skl,sK26_skl))),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f500,f393])).
% 0.14/0.48 fof(f1189,plain,(
% 0.14/0.48 ~in(sK27_skl,sK26_skl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f467,f522])).
% 0.14/0.48 fof(f1191,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1189,f394])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.124846 seconds
% 0.14/0.49 % CPU time: 0.714559 seconds
% 0.14/0.49 % Total memory used: 116.214 MB
% 0.14/0.49 % Net memory used: 115.215 MB
%------------------------------------------------------------------------------