%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET027+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 : n017.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 02:11:16 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 : SET027+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
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:39:41 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(f1,axiom,(
% 0.10/0.40 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,conjecture,(
% 0.10/0.40 (! [B,C,D] :( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ~((! [B,C,D] :( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f3])).
% 0.10/0.40 fof(f5,plain,(
% 0.10/0.40 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f6,plain,(
% 0.10/0.40 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f7,plain,(
% 0.10/0.40 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 (![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))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f7])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f10,plain,(
% 0.10/0.40 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 (?[B,C,D]: ((subset(B,C)&subset(C,D))&~subset(B,D)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 ?[B,D]: ((?[C]: (subset(B,C)&subset(C,D)))&~subset(B,D))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.10/0.40 fof(f15,plain,(
% 0.10/0.40 ((subset(sK1_skl,sK3_skl)&subset(sK3_skl,sK2_skl))&~subset(sK1_skl,sK2_skl))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK1_skl),skolemize(D,sK2_skl),skolemize(C,sK3_skl)],[f14])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 subset(sK1_skl,sK3_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f17,plain,(
% 0.10/0.40 subset(sK3_skl,sK2_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 ~subset(sK1_skl,sK2_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f21,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~member(sK0_skl(X1,X2),X0)|subset(X2,X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f9,f11])).
% 0.10/0.40 fof(f23,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~subset(X0,X1)|subset(X2,X1)|~subset(X3,X0)|~member(sK0_skl(X1,X2),X3))),
% 0.10/0.40 inference(resolution,[status(thm)],[f21,f9])).
% 0.10/0.40 fof(f24,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~subset(X0,X1)|subset(X2,X1)|~subset(X2,X0)|subset(X2,X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f23,f10])).
% 0.10/0.40 fof(f26,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~subset(X0,X1)|subset(X2,X1)|~subset(X2,X0))),
% 0.10/0.40 inference(duplicate_literals_removal,[status(thm)],[f24])).
% 0.10/0.40 fof(f27,plain,(
% 0.10/0.40 ![X0]: (~subset(X0,sK2_skl)|~subset(sK1_skl,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f26,f18])).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ~subset(sK3_skl,sK2_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f27,f16])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f28,f17])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.037227 seconds
% 0.10/0.41 % CPU time: 0.090161 seconds
% 0.10/0.41 % Total memory used: 12.952 MB
% 0.10/0.41 % Net memory used: 12.560 MB
%------------------------------------------------------------------------------