%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET185+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 02:11:44 PM UTC 2026
% Result : Theorem 0.20s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET185+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 04:54:56 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.20/0.62 % Refutation found
% 0.20/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.62 fof(f1,axiom,(
% 0.20/0.62 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 0.20/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f2,axiom,(
% 0.20/0.62 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.20/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f3,axiom,(
% 0.20/0.62 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.20/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f7,conjecture,(
% 0.20/0.62 (! [B,C] :( subset(B,C)=> union(B,C) = C ) )),
% 0.20/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f8,negated_conjecture,(
% 0.20/0.62 ~((! [B,C] :( subset(B,C)=> union(B,C) = C ) ))),
% 0.20/0.62 inference(negated_conjecture,[status(cth)],[f7])).
% 0.20/0.62 fof(f9,plain,(
% 0.20/0.62 ![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))))),
% 0.20/0.62 inference(NNF_transformation,[status(thm)],[f1])).
% 0.20/0.62 fof(f10,plain,(
% 0.20/0.62 (![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))))),
% 0.20/0.62 inference(miniscoping,[status(thm)],[f9])).
% 0.20/0.62 fof(f11,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f10])).
% 0.20/0.62 fof(f13,plain,(
% 0.20/0.62 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f10])).
% 0.20/0.62 fof(f14,plain,(
% 0.20/0.62 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.20/0.62 fof(f15,plain,(
% 0.20/0.62 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.20/0.62 inference(NNF_transformation,[status(thm)],[f14])).
% 0.20/0.62 fof(f16,plain,(
% 0.20/0.62 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.20/0.62 inference(miniscoping,[status(thm)],[f15])).
% 0.20/0.62 fof(f17,plain,(
% 0.20/0.62 (![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))))),
% 0.20/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f16])).
% 0.20/0.62 fof(f18,plain,(
% 0.20/0.62 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f17])).
% 0.20/0.62 fof(f19,plain,(
% 0.20/0.62 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f17])).
% 0.20/0.62 fof(f20,plain,(
% 0.20/0.62 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f17])).
% 0.20/0.62 fof(f21,plain,(
% 0.20/0.62 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.20/0.62 inference(NNF_transformation,[status(thm)],[f3])).
% 0.20/0.62 fof(f22,plain,(
% 0.20/0.62 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.20/0.62 inference(miniscoping,[status(thm)],[f21])).
% 0.20/0.62 fof(f25,plain,(
% 0.20/0.62 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f22])).
% 0.20/0.62 fof(f35,plain,(
% 0.20/0.62 (?[B,C]: (subset(B,C)&~union(B,C)=C))),
% 0.20/0.62 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.20/0.62 fof(f36,plain,(
% 0.20/0.62 (subset(sK2_skl,sK3_skl)&~union(sK2_skl,sK3_skl)=sK3_skl)),
% 0.20/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f35])).
% 0.20/0.62 fof(f37,plain,(
% 0.20/0.62 subset(sK2_skl,sK3_skl)),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f36])).
% 0.20/0.62 fof(f38,plain,(
% 0.20/0.62 ~union(sK2_skl,sK3_skl)=sK3_skl),
% 0.20/0.62 inference(cnf_transformation,[status(thm)],[f36])).
% 0.20/0.62 fof(f41,plain,(
% 0.20/0.62 ![X0]: (~member(X0,sK2_skl)|member(X0,sK3_skl))),
% 0.20/0.62 inference(resolution,[status(thm)],[f18,f37])).
% 0.20/0.62 fof(f56,plain,(
% 0.20/0.62 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sK0_skl(X2,union(X0,X1)),X0)|member(sK0_skl(X2,union(X0,X1)),X1))),
% 0.20/0.62 inference(resolution,[status(thm)],[f19,f11])).
% 0.20/0.62 fof(f58,plain,(
% 0.20/0.62 ![X0,X1,X2]: (subset(X0,X1)|member(sK0_skl(X1,X0),union(X2,X0)))),
% 0.20/0.62 inference(resolution,[status(thm)],[f19,f13])).
% 0.20/0.62 fof(f132,plain,(
% 0.20/0.62 ![X0,X1]: (subset(X0,union(X1,X0))|subset(X0,union(X1,X0)))),
% 0.20/0.62 inference(resolution,[status(thm)],[f58,f20])).
% 0.20/0.63 fof(f139,plain,(
% 0.20/0.63 ![X0,X1]: (subset(X0,union(X1,X0)))),
% 0.20/0.63 inference(duplicate_literals_removal,[status(thm)],[f132])).
% 0.20/0.63 fof(f148,plain,(
% 0.20/0.63 ![X0,X1]: (subset(union(sK2_skl,X0),X1)|member(sK0_skl(X1,union(sK2_skl,X0)),X0)|member(sK0_skl(X1,union(sK2_skl,X0)),sK3_skl))),
% 0.20/0.63 inference(resolution,[status(thm)],[f56,f41])).
% 0.20/0.63 fof(f375,plain,(
% 0.20/0.63 subset(union(sK2_skl,sK3_skl),sK3_skl)|subset(union(sK2_skl,sK3_skl),sK3_skl)),
% 0.20/0.63 inference(resolution,[status(thm)],[f148,f20])).
% 0.20/0.63 fof(f394,plain,(
% 0.20/0.63 subset(union(sK2_skl,sK3_skl),sK3_skl)),
% 0.20/0.63 inference(duplicate_literals_removal,[status(thm)],[f375])).
% 0.20/0.63 fof(f515,plain,(
% 0.20/0.63 sK3_skl=union(sK2_skl,sK3_skl)|~subset(sK3_skl,union(sK2_skl,sK3_skl))),
% 0.20/0.63 inference(resolution,[status(thm)],[f394,f25])).
% 0.20/0.63 fof(f518,plain,(
% 0.20/0.63 ~subset(sK3_skl,union(sK2_skl,sK3_skl))),
% 0.20/0.63 inference(forward_subsumption_resolution,[status(thm)],[f515,f38])).
% 0.20/0.63 fof(f681,plain,(
% 0.20/0.63 $false),
% 0.20/0.63 inference(forward_subsumption_resolution,[status(thm)],[f518,f139])).
% 0.20/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.65 % Elapsed time: 0.191201 seconds
% 0.20/0.65 % CPU time: 1.117827 seconds
% 0.20/0.65 % Total memory used: 113.508 MB
% 0.20/0.65 % Net memory used: 111.232 MB
%------------------------------------------------------------------------------