%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET199+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 : n008.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 02:11:45 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET199+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
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 05:00:54 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,conjecture,(
% 0.12/0.41 (! [B,C,D] :( ( subset(B,C)& subset(B,D) )=> subset(B,intersection(C,D)) ) )),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,negated_conjecture,(
% 0.12/0.41 ~((! [B,C,D] :( ( subset(B,C)& subset(B,D) )=> subset(B,intersection(C,D)) ) ))),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f6])).
% 0.12/0.41 fof(f8,plain,(
% 0.12/0.41 ![B,C,D]: ((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&(member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f9,plain,(
% 0.12/0.41 (![B,C,D]: (~member(D,intersection(B,C))|(member(D,B)&member(D,C))))&(![B,C,D]: (member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.41 fof(f12,plain,(
% 0.12/0.41 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.41 fof(f13,plain,(
% 0.12/0.41 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f14,plain,(
% 0.12/0.41 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f13])).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.41 fof(f16,plain,(
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f15])).
% 0.12/0.41 fof(f17,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.41 fof(f18,plain,(
% 0.12/0.41 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.41 fof(f19,plain,(
% 0.12/0.41 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.41 fof(f29,plain,(
% 0.12/0.41 (?[B,C,D]: ((subset(B,C)&subset(B,D))&~subset(B,intersection(C,D))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ((subset(sK2_skl,sK3_skl)&subset(sK2_skl,sK4_skl))&~subset(sK2_skl,intersection(sK3_skl,sK4_skl)))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f29])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 subset(sK2_skl,sK3_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 subset(sK2_skl,sK4_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.41 fof(f33,plain,(
% 0.12/0.41 ~subset(sK2_skl,intersection(sK3_skl,sK4_skl))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.41 fof(f45,plain,(
% 0.12/0.41 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sK0_skl(X1,X0),X2))),
% 0.12/0.41 inference(resolution,[status(thm)],[f18,f17])).
% 0.12/0.41 fof(f48,plain,(
% 0.12/0.41 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),sK4_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f45,f32])).
% 0.12/0.41 fof(f49,plain,(
% 0.12/0.41 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),sK3_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f45,f31])).
% 0.12/0.41 fof(f53,plain,(
% 0.12/0.41 ![X0,X1]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(X1,sK4_skl))|~member(sK0_skl(X0,sK2_skl),X1))),
% 0.12/0.41 inference(resolution,[status(thm)],[f48,f12])).
% 0.12/0.41 fof(f61,plain,(
% 0.12/0.41 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(sK3_skl,sK4_skl))|subset(sK2_skl,X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f53,f49])).
% 0.12/0.41 fof(f64,plain,(
% 0.12/0.41 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(sK3_skl,sK4_skl)))),
% 0.12/0.41 inference(duplicate_literals_removal,[status(thm)],[f61])).
% 0.12/0.41 fof(f69,plain,(
% 0.12/0.41 subset(sK2_skl,intersection(sK3_skl,sK4_skl))|subset(sK2_skl,intersection(sK3_skl,sK4_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f64,f19])).
% 0.12/0.41 fof(f76,plain,(
% 0.12/0.41 subset(sK2_skl,intersection(sK3_skl,sK4_skl))),
% 0.12/0.41 inference(duplicate_literals_removal,[status(thm)],[f69])).
% 0.12/0.41 fof(f77,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f76,f33])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.067567 seconds
% 0.12/0.42 % CPU time: 0.247513 seconds
% 0.12/0.42 % Total memory used: 96.912 MB
% 0.12/0.42 % Net memory used: 96.283 MB
%------------------------------------------------------------------------------