%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET579+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 : n009.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 02:12:13 PM UTC 2026
% Result : Theorem 0.11s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET579+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
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:27:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.52 % Refutation found
% 0.11/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.52 fof(f1,axiom,(
% 0.11/0.52 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.11/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.52 fof(f2,axiom,(
% 0.11/0.52 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.11/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.52 fof(f3,axiom,(
% 0.11/0.52 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.11/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.52 fof(f5,conjecture,(
% 0.11/0.52 (! [B,C,D] :( (! [E] :( member(E,B)<=> ( member(E,C)& ~ member(E,D) ) ))=> B = difference(C,D) ) )),
% 0.11/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.52 fof(f6,negated_conjecture,(
% 0.11/0.52 ~((! [B,C,D] :( (! [E] :( member(E,B)<=> ( member(E,C)& ~ member(E,D) ) ))=> B = difference(C,D) ) ))),
% 0.11/0.52 inference(negated_conjecture,[status(cth)],[f5])).
% 0.11/0.52 fof(f7,plain,(
% 0.11/0.52 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.11/0.52 inference(NNF_transformation,[status(thm)],[f1])).
% 0.11/0.52 fof(f8,plain,(
% 0.11/0.52 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.11/0.52 inference(miniscoping,[status(thm)],[f7])).
% 0.11/0.52 fof(f9,plain,(
% 0.11/0.52 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.52 fof(f10,plain,(
% 0.11/0.52 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.52 fof(f11,plain,(
% 0.11/0.52 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.52 fof(f12,plain,(
% 0.11/0.52 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.11/0.52 inference(NNF_transformation,[status(thm)],[f2])).
% 0.11/0.52 fof(f13,plain,(
% 0.11/0.52 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.11/0.52 inference(miniscoping,[status(thm)],[f12])).
% 0.11/0.52 fof(f16,plain,(
% 0.11/0.52 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.52 fof(f17,plain,(
% 0.11/0.52 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.11/0.52 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.11/0.52 fof(f18,plain,(
% 0.11/0.52 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.11/0.52 inference(NNF_transformation,[status(thm)],[f17])).
% 0.11/0.52 fof(f19,plain,(
% 0.11/0.52 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.11/0.52 inference(miniscoping,[status(thm)],[f18])).
% 0.11/0.52 fof(f20,plain,(
% 0.11/0.52 (![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))))),
% 0.11/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f19])).
% 0.11/0.52 fof(f22,plain,(
% 0.11/0.52 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.52 fof(f23,plain,(
% 0.11/0.52 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.52 fof(f25,plain,(
% 0.11/0.52 (?[B,C,D]: ((![E]: (member(E,B)<=>(member(E,C)&~member(E,D))))&~B=difference(C,D)))),
% 0.11/0.52 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/0.52 fof(f26,plain,(
% 0.11/0.52 ?[B,C,D]: ((![E]: ((~member(E,B)|(member(E,C)&~member(E,D)))&(member(E,B)|(~member(E,C)|member(E,D)))))&~B=difference(C,D))),
% 0.11/0.52 inference(NNF_transformation,[status(thm)],[f25])).
% 0.11/0.52 fof(f27,plain,(
% 0.11/0.52 ?[B,C,D]: (((![E]: (~member(E,B)|(member(E,C)&~member(E,D))))&(![E]: (member(E,B)|(~member(E,C)|member(E,D)))))&~B=difference(C,D))),
% 0.11/0.52 inference(miniscoping,[status(thm)],[f26])).
% 0.11/0.52 fof(f28,plain,(
% 0.11/0.52 (((![E]: (~member(E,sK1_skl)|(member(E,sK2_skl)&~member(E,sK3_skl))))&(![E]: (member(E,sK1_skl)|(~member(E,sK2_skl)|member(E,sK3_skl)))))&~sK1_skl=difference(sK2_skl,sK3_skl))),
% 0.11/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f27])).
% 0.11/0.52 fof(f29,plain,(
% 0.11/0.52 ![X0]: (~member(X0,sK1_skl)|member(X0,sK2_skl))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.52 fof(f30,plain,(
% 0.11/0.52 ![X0]: (~member(X0,sK1_skl)|~member(X0,sK3_skl))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.52 fof(f31,plain,(
% 0.11/0.52 ![X0]: (member(X0,sK1_skl)|~member(X0,sK2_skl)|member(X0,sK3_skl))),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.52 fof(f32,plain,(
% 0.11/0.52 ~sK1_skl=difference(sK2_skl,sK3_skl)),
% 0.11/0.52 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.52 fof(f41,plain,(
% 0.11/0.52 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~member(sK0_skl(X2,difference(X0,X1)),X1))),
% 0.11/0.52 inference(resolution,[status(thm)],[f22,f10])).
% 0.11/0.52 fof(f42,plain,(
% 0.11/0.52 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sK0_skl(X2,difference(X0,X1)),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f22,f9])).
% 0.11/0.52 fof(f44,plain,(
% 0.11/0.52 ![X0]: (subset(sK1_skl,X0)|member(sK0_skl(X0,sK1_skl),sK2_skl))),
% 0.11/0.52 inference(resolution,[status(thm)],[f22,f29])).
% 0.11/0.52 fof(f53,plain,(
% 0.11/0.52 ![X0,X1]: (subset(difference(X0,sK3_skl),X1)|member(sK0_skl(X1,difference(X0,sK3_skl)),sK1_skl)|~member(sK0_skl(X1,difference(X0,sK3_skl)),sK2_skl))),
% 0.11/0.52 inference(resolution,[status(thm)],[f41,f31])).
% 0.11/0.52 fof(f68,plain,(
% 0.11/0.52 ![X0,X1]: (subset(sK1_skl,X0)|member(sK0_skl(X0,sK1_skl),difference(sK2_skl,X1))|member(sK0_skl(X0,sK1_skl),X1))),
% 0.11/0.52 inference(resolution,[status(thm)],[f44,f11])).
% 0.11/0.52 fof(f98,plain,(
% 0.11/0.52 ![X0]: (subset(difference(sK2_skl,sK3_skl),X0)|member(sK0_skl(X0,difference(sK2_skl,sK3_skl)),sK1_skl)|subset(difference(sK2_skl,sK3_skl),X0))),
% 0.11/0.52 inference(resolution,[status(thm)],[f53,f42])).
% 0.11/0.52 fof(f99,plain,(
% 0.11/0.52 ![X0]: (subset(difference(sK2_skl,sK3_skl),X0)|member(sK0_skl(X0,difference(sK2_skl,sK3_skl)),sK1_skl))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(thm)],[f98])).
% 0.11/0.52 fof(f144,plain,(
% 0.11/0.52 ![X0]: (subset(sK1_skl,difference(sK2_skl,X0))|member(sK0_skl(difference(sK2_skl,X0),sK1_skl),X0)|subset(sK1_skl,difference(sK2_skl,X0)))),
% 0.11/0.52 inference(resolution,[status(thm)],[f68,f23])).
% 0.11/0.52 fof(f149,plain,(
% 0.11/0.52 ![X0]: (subset(sK1_skl,difference(sK2_skl,X0))|member(sK0_skl(difference(sK2_skl,X0),sK1_skl),X0))),
% 0.11/0.52 inference(duplicate_literals_removal,[status(thm)],[f144])).
% 0.11/0.52 fof(f231,plain,(
% 0.11/0.52 subset(difference(sK2_skl,sK3_skl),sK1_skl)|subset(difference(sK2_skl,sK3_skl),sK1_skl)),
% 0.11/0.52 inference(resolution,[status(thm)],[f99,f23])).
% 0.11/0.52 fof(f234,plain,(
% 0.11/0.52 subset(difference(sK2_skl,sK3_skl),sK1_skl)),
% 0.11/0.52 inference(duplicate_literals_removal,[status(thm)],[f231])).
% 0.11/0.52 fof(f744,plain,(
% 0.11/0.52 subset(sK1_skl,difference(sK2_skl,sK3_skl))|~member(sK0_skl(difference(sK2_skl,sK3_skl),sK1_skl),sK1_skl)),
% 0.11/0.52 inference(resolution,[status(thm)],[f149,f30])).
% 0.11/0.52 fof(f750,plain,(
% 0.11/0.52 subset(sK1_skl,difference(sK2_skl,sK3_skl))),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f744,f22])).
% 0.11/0.52 fof(f752,plain,(
% 0.11/0.52 sK1_skl=difference(sK2_skl,sK3_skl)|~subset(sK1_skl,difference(sK2_skl,sK3_skl))),
% 0.11/0.52 inference(resolution,[status(thm)],[f234,f16])).
% 0.11/0.52 fof(f753,plain,(
% 0.11/0.52 ~subset(sK1_skl,difference(sK2_skl,sK3_skl))),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f752,f32])).
% 0.11/0.52 fof(f1137,plain,(
% 0.11/0.52 $false),
% 0.11/0.52 inference(forward_subsumption_resolution,[status(thm)],[f753,f750])).
% 0.11/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.55 % Elapsed time: 0.161300 seconds
% 0.11/0.55 % CPU time: 0.919392 seconds
% 0.11/0.55 % Total memory used: 90.626 MB
% 0.11/0.55 % Net memory used: 89.309 MB
%------------------------------------------------------------------------------