%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET014+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 : 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 02:11:10 PM UTC 2026
% Result : Theorem 4.83s 1.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET014+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
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:44:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 4.83/1.10 % Refutation found
% 4.83/1.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.83/1.10 % SZS output start CNFRefutation for theBenchmark
% 4.83/1.10 fof(f1,axiom,(
% 4.83/1.10 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 4.83/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.83/1.10 fof(f2,axiom,(
% 4.83/1.10 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 4.83/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.83/1.10 fof(f6,conjecture,(
% 4.83/1.10 (! [B,C,D] :( ( subset(B,C)& subset(D,C) )=> subset(union(B,D),C) ) )),
% 4.83/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.83/1.10 fof(f7,negated_conjecture,(
% 4.83/1.10 ~((! [B,C,D] :( ( subset(B,C)& subset(D,C) )=> subset(union(B,D),C) ) ))),
% 4.83/1.10 inference(negated_conjecture,[status(cth)],[f6])).
% 4.83/1.10 fof(f8,plain,(
% 4.83/1.10 ![B,C,D]: ((~member(D,union(B,C))|(member(D,B)|member(D,C)))&(member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 4.83/1.10 inference(NNF_transformation,[status(thm)],[f1])).
% 4.83/1.10 fof(f9,plain,(
% 4.83/1.10 (![B,C,D]: (~member(D,union(B,C))|(member(D,B)|member(D,C))))&(![B,C,D]: (member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 4.83/1.10 inference(miniscoping,[status(thm)],[f8])).
% 4.83/1.10 fof(f10,plain,(
% 4.83/1.10 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f9])).
% 4.83/1.10 fof(f13,plain,(
% 4.83/1.10 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 4.83/1.10 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 4.83/1.10 fof(f14,plain,(
% 4.83/1.10 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 4.83/1.10 inference(NNF_transformation,[status(thm)],[f13])).
% 4.83/1.10 fof(f15,plain,(
% 4.83/1.10 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 4.83/1.10 inference(miniscoping,[status(thm)],[f14])).
% 4.83/1.10 fof(f16,plain,(
% 4.83/1.10 (![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))))),
% 4.83/1.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f15])).
% 4.83/1.10 fof(f17,plain,(
% 4.83/1.10 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f16])).
% 4.83/1.10 fof(f18,plain,(
% 4.83/1.10 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f16])).
% 4.83/1.10 fof(f19,plain,(
% 4.83/1.10 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f16])).
% 4.83/1.10 fof(f29,plain,(
% 4.83/1.10 (?[B,C,D]: ((subset(B,C)&subset(D,C))&~subset(union(B,D),C)))),
% 4.83/1.10 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 4.83/1.10 fof(f30,plain,(
% 4.83/1.10 ((subset(sK2_skl,sK3_skl)&subset(sK4_skl,sK3_skl))&~subset(union(sK2_skl,sK4_skl),sK3_skl))),
% 4.83/1.10 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])).
% 4.83/1.10 fof(f31,plain,(
% 4.83/1.10 subset(sK2_skl,sK3_skl)),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f30])).
% 4.83/1.10 fof(f32,plain,(
% 4.83/1.10 subset(sK4_skl,sK3_skl)),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f30])).
% 4.83/1.10 fof(f33,plain,(
% 4.83/1.10 ~subset(union(sK2_skl,sK4_skl),sK3_skl)),
% 4.83/1.10 inference(cnf_transformation,[status(thm)],[f30])).
% 4.83/1.10 fof(f43,plain,(
% 4.83/1.10 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sK0_skl(X2,union(X0,X1)),X0)|member(sK0_skl(X2,union(X0,X1)),X1))),
% 4.83/1.10 inference(resolution,[status(thm)],[f18,f10])).
% 4.83/1.10 fof(f47,plain,(
% 4.83/1.10 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(sK0_skl(X1,X0),X2))),
% 4.83/1.10 inference(resolution,[status(thm)],[f19,f17])).
% 4.83/1.10 fof(f243,plain,(
% 4.83/1.10 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK4_skl))),
% 4.83/1.10 inference(resolution,[status(thm)],[f47,f32])).
% 4.83/1.10 fof(f244,plain,(
% 4.83/1.10 ![X0]: (subset(X0,sK3_skl)|~member(sK0_skl(sK3_skl,X0),sK2_skl))),
% 4.83/1.10 inference(resolution,[status(thm)],[f47,f31])).
% 4.83/1.10 fof(f2662,plain,(
% 4.83/1.10 ![X0]: (subset(union(sK2_skl,X0),sK3_skl)|subset(union(sK2_skl,X0),sK3_skl)|member(sK0_skl(sK3_skl,union(sK2_skl,X0)),X0))),
% 4.83/1.10 inference(resolution,[status(thm)],[f244,f43])).
% 4.83/1.10 fof(f2701,plain,(
% 4.83/1.10 ![X0]: (subset(union(sK2_skl,X0),sK3_skl)|member(sK0_skl(sK3_skl,union(sK2_skl,X0)),X0))),
% 4.83/1.10 inference(duplicate_literals_removal,[status(thm)],[f2662])).
% 4.83/1.10 fof(f6045,plain,(
% 3.79/1.11 subset(union(sK2_skl,sK4_skl),sK3_skl)|subset(union(sK2_skl,sK4_skl),sK3_skl)),
% 3.79/1.11 inference(resolution,[status(thm)],[f2701,f243])).
% 3.79/1.11 fof(f6062,plain,(
% 3.79/1.11 subset(union(sK2_skl,sK4_skl),sK3_skl)),
% 3.79/1.11 inference(duplicate_literals_removal,[status(thm)],[f6045])).
% 3.79/1.11 fof(f6063,plain,(
% 3.79/1.11 $false),
% 3.79/1.11 inference(forward_subsumption_resolution,[status(thm)],[f6062,f33])).
% 3.79/1.11 % SZS output end CNFRefutation for theBenchmark.p
% 3.79/1.12 % Elapsed time: 0.751809 seconds
% 3.79/1.12 % CPU time: 5.685991 seconds
% 3.79/1.12 % Total memory used: 160.919 MB
% 3.79/1.12 % Net memory used: 149.756 MB
%------------------------------------------------------------------------------