%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET183+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 : n011.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 02:11:43 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET183+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
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:59:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (! [B,C] : subset(intersection(B,C),B) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,conjecture,(
% 0.14/0.40 (! [B,C] :( subset(B,C)=> intersection(B,C) = B ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ~((! [B,C] :( subset(B,C)=> intersection(B,C) = B ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f8])).
% 0.14/0.40 fof(f10,plain,(
% 0.14/0.40 ![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))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 (![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))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 (![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))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f18])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f23,plain,(
% 0.14/0.40 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f24,plain,(
% 0.14/0.40 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f23])).
% 0.14/0.40 fof(f27,plain,(
% 0.14/0.40 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 (?[B,C]: (subset(B,C)&~intersection(B,C)=B))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 (subset(sK2_skl,sK3_skl)&~intersection(sK2_skl,sK3_skl)=sK2_skl)),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f37])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 subset(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 ~intersection(sK2_skl,sK3_skl)=sK2_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,intersection(X0,X1)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f27,f15])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 ![X0,X1,X2]: (subset(X0,X1)|member(sK0_skl(X1,X0),intersection(X2,X0))|~member(sK0_skl(X1,X0),X2))),
% 0.14/0.40 inference(resolution,[status(thm)],[f21,f14])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~subset(X0,X1)|member(sK0_skl(X2,X0),X1)|subset(X0,X2))),
% 0.14/0.40 inference(resolution,[status(thm)],[f20,f21])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,intersection(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f28,f56])).
% 0.14/0.40 fof(f99,plain,(
% 0.14/0.40 ![X0]: (member(sK0_skl(X0,sK2_skl),sK3_skl)|subset(sK2_skl,X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f64,f39])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(sK3_skl,sK2_skl))|subset(sK2_skl,X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f61,f99])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 ![X0]: (subset(sK2_skl,X0)|member(sK0_skl(X0,sK2_skl),intersection(sK3_skl,sK2_skl)))),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f120])).
% 0.14/0.40 fof(f281,plain,(
% 0.14/0.40 subset(sK2_skl,intersection(sK3_skl,sK2_skl))|subset(sK2_skl,intersection(sK3_skl,sK2_skl))),
% 0.14/0.40 inference(resolution,[status(thm)],[f125,f22])).
% 0.14/0.40 fof(f289,plain,(
% 0.14/0.40 subset(sK2_skl,intersection(sK3_skl,sK2_skl))),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f281])).
% 0.14/0.40 fof(f312,plain,(
% 0.14/0.40 sK2_skl=intersection(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f289,f83])).
% 0.14/0.40 fof(f319,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f312,f40])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.056277 seconds
% 0.14/0.42 % CPU time: 0.214473 seconds
% 0.14/0.42 % Total memory used: 68.900 MB
% 0.14/0.42 % Net memory used: 68.372 MB
%------------------------------------------------------------------------------