%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET626+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 : n015.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 02:12:20 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET626+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
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:33:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (! [B,C] :( intersect(B,C)=> intersect(C,B) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,conjecture,(
% 0.09/0.40 (! [B,C,D] :( intersect(B,intersection(C,D))=> intersect(B,C) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,negated_conjecture,(
% 0.09/0.40 ~((! [B,C,D] :( intersect(B,intersection(C,D))=> intersect(B,C) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f6])).
% 0.09/0.40 fof(f8,plain,(
% 0.09/0.40 ![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))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f9,plain,(
% 0.09/0.40 (![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))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 (![B,C]: (~intersect(B,C)|(member(sK0_skl(C,B),B)&member(sK0_skl(C,B),C))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f14])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![X0,X1]: (~intersect(X0,X1)|member(sK0_skl(X1,X0),X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ![B,C]: (~intersect(B,C)|intersect(C,B))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1]: (~intersect(X0,X1)|intersect(X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 (?[B,C,D]: (intersect(B,intersection(C,D))&~intersect(B,C)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ?[B,C]: ((?[D]: intersect(B,intersection(C,D)))&~intersect(B,C))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f29])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 (intersect(sK2_skl,intersection(sK3_skl,sK4_skl))&~intersect(sK2_skl,sK3_skl))),
% 0.09/0.40 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)],[f30])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 intersect(sK2_skl,intersection(sK3_skl,sK4_skl))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 ~intersect(sK2_skl,sK3_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 ~intersect(sK3_skl,sK2_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f21,f33])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 member(sK0_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK2_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f16,f32])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 member(sK0_skl(intersection(sK3_skl,sK4_skl),sK2_skl),intersection(sK3_skl,sK4_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f17,f32])).
% 0.09/0.40 fof(f52,plain,(
% 0.09/0.40 ![X0]: (intersect(X0,sK2_skl)|~member(sK0_skl(intersection(sK3_skl,sK4_skl),sK2_skl),X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f44,f18])).
% 0.09/0.40 fof(f73,plain,(
% 0.09/0.40 member(sK0_skl(intersection(sK3_skl,sK4_skl),sK2_skl),sK3_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f46,f10])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 intersect(sK3_skl,sK2_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f52,f73])).
% 0.09/0.40 fof(f92,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f88,f40])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.053365 seconds
% 0.09/0.42 % CPU time: 0.160207 seconds
% 0.09/0.42 % Total memory used: 92.307 MB
% 0.09/0.42 % Net memory used: 91.904 MB
%------------------------------------------------------------------------------