%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:22:10 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 06:05:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f199,lemma,(
% 0.12/0.41 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> ( subset(relation_dom(C),A)& subset(relation_rng(C),B) ) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f210,lemma,(
% 0.12/0.41 (! [A,B,C,D] :( relation_of2_as_subset(D,C,A)=> ( subset(relation_rng(D),B)=> relation_of2_as_subset(D,C,B) ) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f214,conjecture,(
% 0.12/0.41 (! [A,B,C,D] :( relation_of2_as_subset(D,C,A)=> ( subset(A,B)=> relation_of2_as_subset(D,C,B) ) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f215,negated_conjecture,(
% 0.12/0.41 ~((! [A,B,C,D] :( relation_of2_as_subset(D,C,A)=> ( subset(A,B)=> relation_of2_as_subset(D,C,B) ) ) ))),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f214])).
% 0.12/0.41 fof(f226,lemma,(
% 0.12/0.41 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1106,plain,(
% 0.12/0.41 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|(subset(relation_dom(C),A)&subset(relation_rng(C),B)))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f199])).
% 0.12/0.41 fof(f1108,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|subset(relation_rng(X0),X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1106])).
% 0.12/0.41 fof(f1146,plain,(
% 0.12/0.41 ![A,B,C,D]: (~relation_of2_as_subset(D,C,A)|(~subset(relation_rng(D),B)|relation_of2_as_subset(D,C,B)))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f210])).
% 0.12/0.41 fof(f1147,plain,(
% 0.12/0.41 ![C,D]: ((![A]: ~relation_of2_as_subset(D,C,A))|(![B]: (~subset(relation_rng(D),B)|relation_of2_as_subset(D,C,B))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f1146])).
% 0.12/0.41 fof(f1148,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~relation_of2_as_subset(X0,X1,X2)|~subset(relation_rng(X0),X3)|relation_of2_as_subset(X0,X1,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1147])).
% 0.12/0.41 fof(f1162,plain,(
% 0.12/0.41 (?[A,B,C,D]: (relation_of2_as_subset(D,C,A)&(subset(A,B)&~relation_of2_as_subset(D,C,B))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f215])).
% 0.12/0.41 fof(f1163,plain,(
% 0.12/0.41 ?[A,C,D]: (relation_of2_as_subset(D,C,A)&(?[B]: (subset(A,B)&~relation_of2_as_subset(D,C,B))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f1162])).
% 0.12/0.41 fof(f1164,plain,(
% 0.12/0.41 (relation_of2_as_subset(sK110_skl,sK109_skl,sK108_skl)&(subset(sK108_skl,sK111_skl)&~relation_of2_as_subset(sK110_skl,sK109_skl,sK111_skl)))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK108_skl,sK109_skl,sK110_skl,sK111_skl]),skolemize(A,sK108_skl),skolemize(C,sK109_skl),skolemize(D,sK110_skl),skolemize(B,sK111_skl)],[f1163])).
% 0.12/0.41 fof(f1165,plain,(
% 0.12/0.41 relation_of2_as_subset(sK110_skl,sK109_skl,sK108_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1164])).
% 0.12/0.41 fof(f1166,plain,(
% 0.12/0.41 subset(sK108_skl,sK111_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1164])).
% 0.12/0.41 fof(f1167,plain,(
% 0.12/0.41 ~relation_of2_as_subset(sK110_skl,sK109_skl,sK111_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1164])).
% 0.12/0.41 fof(f1196,plain,(
% 0.12/0.41 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f226])).
% 0.12/0.41 fof(f1197,plain,(
% 0.12/0.41 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f1196])).
% 0.12/0.41 fof(f1198,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1197])).
% 0.12/0.41 fof(f1678,plain,(
% 0.12/0.41 ![X0]: (~relation_of2_as_subset(sK110_skl,sK109_skl,X0)|~subset(relation_rng(sK110_skl),sK111_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f1148,f1167])).
% 0.12/0.41 fof(f1692,plain,(
% 0.12/0.41 ![X0,X1]: (~relation_of2_as_subset(sK110_skl,sK109_skl,X0)|~subset(relation_rng(sK110_skl),X1)|~subset(X1,sK111_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f1678,f1198])).
% 0.12/0.41 fof(f1730,plain,(
% 0.12/0.41 ![X0]: (~subset(relation_rng(sK110_skl),X0)|~subset(X0,sK111_skl))),
% 0.12/0.41 inference(resolution,[status(thm)],[f1692,f1165])).
% 0.12/0.41 fof(f1734,plain,(
% 0.12/0.41 ![X0,X1]: (~subset(X0,sK111_skl)|~relation_of2_as_subset(sK110_skl,X1,X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f1730,f1108])).
% 0.12/0.41 fof(f1785,plain,(
% 0.12/0.41 ~subset(sK108_skl,sK111_skl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f1734,f1165])).
% 0.12/0.41 fof(f1787,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1785,f1166])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.090190 seconds
% 0.12/0.44 % CPU time: 0.240580 seconds
% 0.12/0.44 % Total memory used: 134.406 MB
% 0.12/0.44 % Net memory used: 133.902 MB
%------------------------------------------------------------------------------