%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU198+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 : n010.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 02:21:58 PM UTC 2026
% Result : Theorem 134.05s 17.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU198+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
% 0.07/0.34 % Computer : n010.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 05:57:10 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 134.05/17.44 % Refutation found
% 134.05/17.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 134.05/17.44 % SZS output start CNFRefutation for theBenchmark
% 134.05/17.44 fof(f22,axiom,(
% 134.05/17.44 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 134.05/17.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 134.05/17.44 fof(f112,lemma,(
% 134.05/17.44 (! [A,B,C] :( relation(C)=> ( in(A,relation_rng(relation_rng_restriction(B,C)))<=> ( in(A,B)& in(A,relation_rng(C)) ) ) ) )),
% 134.05/17.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 134.05/17.44 fof(f113,conjecture,(
% 134.05/17.44 (! [A,B] :( relation(B)=> subset(relation_rng(relation_rng_restriction(A,B)),A) ) )),
% 134.05/17.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 134.05/17.44 fof(f114,negated_conjecture,(
% 134.05/17.44 ~((! [A,B] :( relation(B)=> subset(relation_rng(relation_rng_restriction(A,B)),A) ) ))),
% 134.05/17.44 inference(negated_conjecture,[status(cth)],[f113])).
% 134.05/17.44 fof(f323,plain,(
% 134.05/17.44 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 134.05/17.44 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 134.05/17.44 fof(f324,plain,(
% 134.05/17.44 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 134.05/17.44 inference(NNF_transformation,[status(thm)],[f323])).
% 134.05/17.44 fof(f325,plain,(
% 134.05/17.44 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 134.05/17.44 inference(miniscoping,[status(thm)],[f324])).
% 134.05/17.44 fof(f326,plain,(
% 134.05/17.44 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK26_skl(B,A),A)&~in(sK26_skl(B,A),B))))),
% 134.05/17.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(C,sK26_skl(B,A))],[f325])).
% 134.05/17.44 fof(f328,plain,(
% 134.05/17.44 ![X0,X1]: (subset(X0,X1)|in(sK26_skl(X1,X0),X0))),
% 134.05/17.44 inference(cnf_transformation,[status(thm)],[f326])).
% 134.05/17.44 fof(f329,plain,(
% 134.05/17.44 ![X0,X1]: (subset(X0,X1)|~in(sK26_skl(X1,X0),X1))),
% 134.05/17.44 inference(cnf_transformation,[status(thm)],[f326])).
% 134.05/17.44 fof(f556,plain,(
% 134.05/17.44 ![A,B,C]: (~relation(C)|(in(A,relation_rng(relation_rng_restriction(B,C)))<=>(in(A,B)&in(A,relation_rng(C)))))),
% 134.05/17.44 inference(pre_NNF_transformation,[status(thm)],[f112])).
% 134.05/17.44 fof(f557,plain,(
% 134.05/17.44 ![A,B,C]: (~relation(C)|((~in(A,relation_rng(relation_rng_restriction(B,C)))|(in(A,B)&in(A,relation_rng(C))))&(in(A,relation_rng(relation_rng_restriction(B,C)))|(~in(A,B)|~in(A,relation_rng(C))))))),
% 134.05/17.44 inference(NNF_transformation,[status(thm)],[f556])).
% 134.05/17.44 fof(f558,plain,(
% 134.05/17.44 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_rng(relation_rng_restriction(B,C)))|(in(A,B)&in(A,relation_rng(C)))))&(![A,B]: (in(A,relation_rng(relation_rng_restriction(B,C)))|(~in(A,B)|~in(A,relation_rng(C)))))))),
% 134.05/17.44 inference(miniscoping,[status(thm)],[f557])).
% 134.05/17.44 fof(f559,plain,(
% 134.05/17.44 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_rng(relation_rng_restriction(X2,X0)))|in(X1,X2))),
% 134.05/17.44 inference(cnf_transformation,[status(thm)],[f558])).
% 134.05/17.44 fof(f562,plain,(
% 134.05/17.44 (?[A,B]: (relation(B)&~subset(relation_rng(relation_rng_restriction(A,B)),A)))),
% 134.05/17.44 inference(pre_NNF_transformation,[status(thm)],[f114])).
% 134.05/17.44 fof(f563,plain,(
% 134.05/17.44 ?[B]: (relation(B)&(?[A]: ~subset(relation_rng(relation_rng_restriction(A,B)),A)))),
% 134.05/17.44 inference(miniscoping,[status(thm)],[f562])).
% 134.05/17.44 fof(f564,plain,(
% 134.05/17.44 (relation(sK53_skl)&~subset(relation_rng(relation_rng_restriction(sK54_skl,sK53_skl)),sK54_skl))),
% 135.08/17.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl]),skolemize(B,sK53_skl),skolemize(A,sK54_skl)],[f563])).
% 135.08/17.44 fof(f565,plain,(
% 135.08/17.44 relation(sK53_skl)),
% 135.08/17.44 inference(cnf_transformation,[status(thm)],[f564])).
% 135.08/17.44 fof(f566,plain,(
% 135.08/17.44 ~subset(relation_rng(relation_rng_restriction(sK54_skl,sK53_skl)),sK54_skl)),
% 135.08/17.44 inference(cnf_transformation,[status(thm)],[f564])).
% 135.08/17.44 fof(f1033,plain,(
% 135.08/17.44 ![X0,X1]: (~in(X0,relation_rng(relation_rng_restriction(X1,sK53_skl)))|in(X0,X1))),
% 135.08/17.44 inference(resolution,[status(thm)],[f559,f565])).
% 135.08/17.44 fof(f1091,plain,(
% 135.08/17.44 ![X0,X1]: (in(sK26_skl(X0,relation_rng(relation_rng_restriction(X1,sK53_skl))),X1)|subset(relation_rng(relation_rng_restriction(X1,sK53_skl)),X0))),
% 135.08/17.44 inference(resolution,[status(thm)],[f1033,f328])).
% 135.08/17.44 fof(f18312,plain,(
% 135.08/17.44 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sK53_skl)),X0)|subset(relation_rng(relation_rng_restriction(X0,sK53_skl)),X0))),
% 135.08/17.44 inference(resolution,[status(thm)],[f329,f1091])).
% 135.08/17.49 fof(f18377,plain,(
% 135.08/17.49 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sK53_skl)),X0))),
% 135.08/17.49 inference(duplicate_literals_removal,[status(thm)],[f18312])).
% 135.08/17.49 fof(f18381,plain,(
% 135.08/17.49 $false),
% 135.08/17.49 inference(backward_subsumption_resolution,[status(thm)],[f566,f18377])).
% 135.08/17.49 % SZS output end CNFRefutation for theBenchmark.p
% 13.29/17.63 % Elapsed time: 17.263785 seconds
% 13.29/17.63 % CPU time: 136.192373 seconds
% 13.29/17.63 % Total memory used: 815.785 MB
% 13.29/17.63 % Net memory used: 721.829 MB
%------------------------------------------------------------------------------