%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET586+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 : n005.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 02:12:14 PM UTC 2026
% Result : Theorem 8.77s 1.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET586+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
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:27:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 8.77/1.54 % Refutation found
% 8.77/1.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.77/1.54 % SZS output start CNFRefutation for theBenchmark
% 8.77/1.54 fof(f1,axiom,(
% 8.77/1.54 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 8.77/1.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.77/1.54 fof(f2,axiom,(
% 8.77/1.54 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 8.77/1.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.77/1.54 fof(f3,axiom,(
% 8.77/1.54 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 8.77/1.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.77/1.54 fof(f6,conjecture,(
% 8.77/1.54 (! [B,C,D] :( subset(B,C)=> subset(intersection(B,D),intersection(C,D)) ) )),
% 8.77/1.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.77/1.54 fof(f7,negated_conjecture,(
% 8.77/1.54 ~((! [B,C,D] :( subset(B,C)=> subset(intersection(B,D),intersection(C,D)) ) ))),
% 8.77/1.54 inference(negated_conjecture,[status(cth)],[f6])).
% 8.77/1.54 fof(f8,plain,(
% 8.77/1.54 ![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))))),
% 8.77/1.54 inference(NNF_transformation,[status(thm)],[f1])).
% 8.77/1.54 fof(f9,plain,(
% 8.77/1.54 (![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))))),
% 8.77/1.54 inference(miniscoping,[status(thm)],[f8])).
% 8.77/1.54 fof(f10,plain,(
% 8.77/1.54 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f9])).
% 8.77/1.54 fof(f11,plain,(
% 8.77/1.54 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f9])).
% 8.77/1.54 fof(f12,plain,(
% 8.77/1.54 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f9])).
% 8.77/1.54 fof(f13,plain,(
% 8.77/1.54 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 8.77/1.54 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 8.77/1.54 fof(f14,plain,(
% 8.77/1.54 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 8.77/1.54 inference(NNF_transformation,[status(thm)],[f13])).
% 8.77/1.54 fof(f15,plain,(
% 8.77/1.54 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 8.77/1.54 inference(miniscoping,[status(thm)],[f14])).
% 8.77/1.54 fof(f16,plain,(
% 8.77/1.54 (![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))))),
% 8.77/1.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f15])).
% 8.77/1.54 fof(f17,plain,(
% 8.77/1.54 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f16])).
% 8.77/1.54 fof(f18,plain,(
% 8.77/1.54 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f16])).
% 8.77/1.54 fof(f19,plain,(
% 8.77/1.54 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f16])).
% 8.77/1.54 fof(f20,plain,(
% 8.77/1.54 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f3])).
% 8.77/1.54 fof(f29,plain,(
% 8.77/1.54 (?[B,C,D]: (subset(B,C)&~subset(intersection(B,D),intersection(C,D))))),
% 8.77/1.54 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 8.77/1.54 fof(f30,plain,(
% 8.77/1.54 ?[B,C]: (subset(B,C)&(?[D]: ~subset(intersection(B,D),intersection(C,D))))),
% 8.77/1.54 inference(miniscoping,[status(thm)],[f29])).
% 8.77/1.54 fof(f31,plain,(
% 8.77/1.54 (subset(sK2_skl,sK3_skl)&~subset(intersection(sK2_skl,sK4_skl),intersection(sK3_skl,sK4_skl)))),
% 8.77/1.54 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])).
% 8.77/1.54 fof(f32,plain,(
% 8.77/1.54 subset(sK2_skl,sK3_skl)),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f31])).
% 8.77/1.54 fof(f33,plain,(
% 8.77/1.54 ~subset(intersection(sK2_skl,sK4_skl),intersection(sK3_skl,sK4_skl))),
% 8.77/1.54 inference(cnf_transformation,[status(thm)],[f31])).
% 8.77/1.54 fof(f42,plain,(
% 8.77/1.54 ![X0]: (~member(X0,sK2_skl)|member(X0,sK3_skl))),
% 8.77/1.54 inference(resolution,[status(thm)],[f17,f32])).
% 8.77/1.54 fof(f45,plain,(
% 8.77/1.54 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X1))),
% 8.77/1.54 inference(resolution,[status(thm)],[f18,f11])).
% 8.77/1.54 fof(f46,plain,(
% 8.77/1.54 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X0))),
% 8.77/1.58 inference(resolution,[status(thm)],[f18,f10])).
% 8.77/1.58 fof(f52,plain,(
% 8.77/1.58 ![X0,X1,X2,X3]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),intersection(X1,X3))|~member(sK0_skl(X2,intersection(X0,X1)),X3))),
% 8.77/1.58 inference(resolution,[status(thm)],[f45,f12])).
% 8.77/1.58 fof(f55,plain,(
% 8.77/1.58 ![X0,X1]: (subset(intersection(sK2_skl,X0),X1)|member(sK0_skl(X1,intersection(sK2_skl,X0)),sK3_skl))),
% 8.77/1.58 inference(resolution,[status(thm)],[f46,f42])).
% 8.77/1.58 fof(f845,plain,(
% 8.77/1.58 ![X0,X1]: (subset(intersection(sK2_skl,X0),X1)|member(sK0_skl(X1,intersection(sK2_skl,X0)),intersection(X0,sK3_skl))|subset(intersection(sK2_skl,X0),X1))),
% 8.77/1.58 inference(resolution,[status(thm)],[f52,f55])).
% 8.77/1.58 fof(f858,plain,(
% 8.77/1.58 ![X0,X1]: (subset(intersection(sK2_skl,X0),X1)|member(sK0_skl(X1,intersection(sK2_skl,X0)),intersection(X0,sK3_skl)))),
% 8.77/1.58 inference(duplicate_literals_removal,[status(thm)],[f845])).
% 8.77/1.58 fof(f4513,plain,(
% 8.77/1.58 ![X0]: (subset(intersection(sK2_skl,X0),intersection(X0,sK3_skl))|subset(intersection(sK2_skl,X0),intersection(X0,sK3_skl)))),
% 8.77/1.58 inference(resolution,[status(thm)],[f858,f19])).
% 8.77/1.58 fof(f4534,plain,(
% 8.77/1.58 ![X0]: (subset(intersection(sK2_skl,X0),intersection(X0,sK3_skl)))),
% 8.77/1.58 inference(duplicate_literals_removal,[status(thm)],[f4513])).
% 8.77/1.58 fof(f4596,plain,(
% 8.77/1.58 ![X0]: (subset(intersection(sK2_skl,X0),intersection(sK3_skl,X0)))),
% 8.77/1.58 inference(paramodulation,[status(thm)],[f20,f4534])).
% 8.77/1.58 fof(f4607,plain,(
% 8.77/1.58 $false),
% 8.77/1.58 inference(backward_subsumption_resolution,[status(thm)],[f33,f4596])).
% 8.77/1.58 % SZS output end CNFRefutation for theBenchmark.p
% 8.77/1.58 % Elapsed time: 1.193995 seconds
% 8.77/1.58 % CPU time: 9.253608 seconds
% 8.77/1.58 % Total memory used: 189.453 MB
% 8.77/1.58 % Net memory used: 177.924 MB
%------------------------------------------------------------------------------