%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET196+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:11:45 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET196+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n016.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 05:04:37 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,axiom,(
% 0.14/0.44 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,axiom,(
% 0.14/0.44 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f3,axiom,(
% 0.14/0.44 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f6,conjecture,(
% 0.14/0.44 (! [B,C] : subset(intersection(B,C),B) )),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f7,negated_conjecture,(
% 0.14/0.44 ~((! [B,C] : subset(intersection(B,C),B) ))),
% 0.14/0.44 inference(negated_conjecture,[status(cth)],[f6])).
% 0.14/0.44 fof(f8,plain,(
% 0.14/0.44 ![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))))),
% 0.14/0.44 inference(NNF_transformation,[status(thm)],[f1])).
% 0.14/0.44 fof(f9,plain,(
% 0.14/0.44 (![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))))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.44 fof(f11,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.44 fof(f13,plain,(
% 0.14/0.44 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.14/0.44 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f14,plain,(
% 0.14/0.44 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.14/0.44 inference(NNF_transformation,[status(thm)],[f13])).
% 0.14/0.44 fof(f15,plain,(
% 0.14/0.44 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.44 fof(f16,plain,(
% 0.14/0.44 (![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))))),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f15])).
% 0.14/0.44 fof(f18,plain,(
% 0.14/0.44 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.44 fof(f19,plain,(
% 0.14/0.44 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.44 fof(f20,plain,(
% 0.14/0.44 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.44 fof(f29,plain,(
% 0.14/0.44 (?[B,C]: ~subset(intersection(B,C),B))),
% 0.14/0.44 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/0.44 fof(f30,plain,(
% 0.14/0.44 ~subset(intersection(sK2_skl,sK3_skl),sK2_skl)),
% 0.14/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f29])).
% 0.14/0.44 fof(f31,plain,(
% 0.14/0.44 ~subset(intersection(sK2_skl,sK3_skl),sK2_skl)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.44 fof(f40,plain,(
% 0.14/0.44 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sK0_skl(X2,intersection(X0,X1)),X1))),
% 0.14/0.44 inference(resolution,[status(thm)],[f18,f11])).
% 0.14/0.44 fof(f50,plain,(
% 0.14/0.44 ![X0,X1]: (subset(intersection(X0,X1),X1)|subset(intersection(X0,X1),X1))),
% 0.14/0.44 inference(resolution,[status(thm)],[f19,f40])).
% 0.14/0.44 fof(f52,plain,(
% 0.14/0.44 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 0.14/0.44 inference(duplicate_literals_removal,[status(thm)],[f50])).
% 0.14/0.44 fof(f54,plain,(
% 0.14/0.44 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f20,f52])).
% 0.14/0.44 fof(f57,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f31,f54])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.47 % Elapsed time: 0.053564 seconds
% 0.22/0.47 % CPU time: 0.096616 seconds
% 0.22/0.47 % Total memory used: 44.394 MB
% 0.22/0.47 % Net memory used: 44.197 MB
%------------------------------------------------------------------------------