%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU062+1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:21:38 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU062+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:53:07 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f25,axiom,(
% 0.14/0.39 (! [A,B] :( relation(B)=> ( in(A,relation_rng(B))<=> relation_inverse_image(B,singleton(A)) != empty_set ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f26,conjecture,(
% 0.14/0.39 (! [A,B] :( relation(B)=> ( (! [C] :~ ( in(C,A)& relation_inverse_image(B,singleton(C)) = empty_set ))=> subset(A,relation_rng(B)) ) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,negated_conjecture,(
% 0.14/0.39 ~((! [A,B] :( relation(B)=> ( (! [C] :~ ( in(C,A)& relation_inverse_image(B,singleton(C)) = empty_set ))=> subset(A,relation_rng(B)) ) ) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f26])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f46])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f47])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f48])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.39 fof(f101,plain,(
% 0.14/0.39 ![A,B]: (~relation(B)|(in(A,relation_rng(B))<=>~relation_inverse_image(B,singleton(A))=empty_set))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.14/0.39 fof(f102,plain,(
% 0.14/0.39 ![A,B]: (~relation(B)|((~in(A,relation_rng(B))|~relation_inverse_image(B,singleton(A))=empty_set)&(in(A,relation_rng(B))|relation_inverse_image(B,singleton(A))=empty_set)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f101])).
% 0.14/0.39 fof(f103,plain,(
% 0.14/0.39 ![B]: (~relation(B)|((![A]: (~in(A,relation_rng(B))|~relation_inverse_image(B,singleton(A))=empty_set))&(![A]: (in(A,relation_rng(B))|relation_inverse_image(B,singleton(A))=empty_set))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f102])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 ![X0,X1]: (~relation(X0)|in(X1,relation_rng(X0))|relation_inverse_image(X0,singleton(X1))=empty_set)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 (?[A,B]: (relation(B)&((![C]: (~in(C,A)|~relation_inverse_image(B,singleton(C))=empty_set))&~subset(A,relation_rng(B)))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 ?[B]: (relation(B)&(?[A]: ((![C]: (~in(C,A)|~relation_inverse_image(B,singleton(C))=empty_set))&~subset(A,relation_rng(B)))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f106])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 (relation(sK12_skl)&((![C]: (~in(C,sK13_skl)|~relation_inverse_image(sK12_skl,singleton(C))=empty_set))&~subset(sK13_skl,relation_rng(sK12_skl))))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(B,sK12_skl),skolemize(A,sK13_skl)],[f107])).
% 0.14/0.39 fof(f109,plain,(
% 0.14/0.39 relation(sK12_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.39 fof(f110,plain,(
% 0.14/0.39 ![X0]: (~in(X0,sK13_skl)|~relation_inverse_image(sK12_skl,singleton(X0))=empty_set)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.39 fof(f111,plain,(
% 0.14/0.39 ~subset(sK13_skl,relation_rng(sK12_skl))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 ![X0]: (in(X0,relation_rng(sK12_skl))|relation_inverse_image(sK12_skl,singleton(X0))=empty_set)),
% 0.14/0.39 inference(resolution,[status(thm)],[f105,f109])).
% 0.14/0.39 fof(f163,plain,(
% 0.14/0.39 ![X0]: (relation_inverse_image(sK12_skl,singleton(sK0_skl(relation_rng(sK12_skl),X0)))=empty_set|subset(X0,relation_rng(sK12_skl)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f146,f52])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 relation_inverse_image(sK12_skl,singleton(sK0_skl(relation_rng(sK12_skl),sK13_skl)))=empty_set),
% 0.14/0.40 inference(resolution,[status(thm)],[f163,f111])).
% 0.14/0.40 fof(f199,plain,(
% 0.14/0.40 ~in(sK0_skl(relation_rng(sK12_skl),sK13_skl),sK13_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f165,f110])).
% 0.14/0.40 fof(f398,plain,(
% 0.14/0.40 subset(sK13_skl,relation_rng(sK12_skl))),
% 0.14/0.40 inference(resolution,[status(thm)],[f199,f51])).
% 0.14/0.40 fof(f399,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f398,f111])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.045595 seconds
% 0.14/0.42 % CPU time: 0.164328 seconds
% 0.14/0.42 % Total memory used: 64.098 MB
% 0.14/0.42 % Net memory used: 64.033 MB
%------------------------------------------------------------------------------