%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU172+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:21:53 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU172+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:57:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f20,axiom,(
% 0.10/0.40 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,conjecture,(
% 0.10/0.40 (! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f22,negated_conjecture,(
% 0.10/0.40 ~((! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f21])).
% 0.10/0.40 fof(f23,axiom,(
% 0.10/0.40 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f55])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 (?[A,B,C]: (element(C,powerset(A))&(in(B,subset_complement(A,C))&in(B,C))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 ?[A,C]: (element(C,powerset(A))&(?[B]: (in(B,subset_complement(A,C))&in(B,C))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f57])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 (element(sK6_skl,powerset(sK5_skl))&(in(sK7_skl,subset_complement(sK5_skl,sK6_skl))&in(sK7_skl,sK6_skl)))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(A,sK5_skl),skolemize(C,sK6_skl),skolemize(B,sK7_skl)],[f58])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 element(sK6_skl,powerset(sK5_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 in(sK7_skl,subset_complement(sK5_skl,sK6_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 in(sK7_skl,sK6_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 ![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)))))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f23])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 (![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)))))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f63])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 (![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(sK8_skl(C,B,A),C)|(~in(sK8_skl(C,B,A),A)|in(sK8_skl(C,B,A),B)))&(in(sK8_skl(C,B,A),C)|(in(sK8_skl(C,B,A),A)&~in(sK8_skl(C,B,A),B))))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(D,sK8_skl(C,B,A))],[f64])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f65])).
% 0.10/0.40 fof(f73,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f67])).
% 0.10/0.40 fof(f91,plain,(
% 0.10/0.40 subset_complement(sK5_skl,sK6_skl)=set_difference(sK5_skl,sK6_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f56,f60])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.40 in(sK7_skl,set_difference(sK5_skl,sK6_skl))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f91,f61])).
% 0.10/0.40 fof(f136,plain,(
% 0.10/0.40 ![X0]: (~in(sK7_skl,set_difference(X0,sK6_skl)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f73,f62])).
% 0.10/0.40 fof(f138,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f94,f136])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.055218 seconds
% 0.10/0.44 % CPU time: 0.159111 seconds
% 0.10/0.44 % Total memory used: 102.154 MB
% 0.10/0.44 % Net memory used: 101.756 MB
%------------------------------------------------------------------------------