%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU158+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 02:21:50 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU158+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:53:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f41,lemma,(
% 0.09/0.38 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f67,conjecture,(
% 0.09/0.38 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f68,negated_conjecture,(
% 0.09/0.38 ~((! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) ))),
% 0.09/0.38 inference(negated_conjecture,[status(cth)],[f67])).
% 0.09/0.38 fof(f213,plain,(
% 0.09/0.38 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f41])).
% 0.09/0.38 fof(f214,plain,(
% 0.09/0.38 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f213])).
% 0.09/0.38 fof(f215,plain,(
% 0.09/0.38 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f214])).
% 0.09/0.38 fof(f216,plain,(
% 0.09/0.38 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f214])).
% 0.09/0.38 fof(f280,plain,(
% 0.09/0.38 (?[A,B]: (subset(singleton(A),B)<~>in(A,B)))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.09/0.38 fof(f281,plain,(
% 0.09/0.38 ?[A,B]: ((subset(singleton(A),B)|in(A,B))&(~subset(singleton(A),B)|~in(A,B)))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f280])).
% 0.09/0.38 fof(f282,plain,(
% 0.09/0.38 ((subset(singleton(sK19_skl),sK20_skl)|in(sK19_skl,sK20_skl))&(~subset(singleton(sK19_skl),sK20_skl)|~in(sK19_skl,sK20_skl)))),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl)],[f281])).
% 0.09/0.38 fof(f283,plain,(
% 0.09/0.38 subset(singleton(sK19_skl),sK20_skl)|in(sK19_skl,sK20_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f282])).
% 0.09/0.38 fof(f284,plain,(
% 0.09/0.38 ~subset(singleton(sK19_skl),sK20_skl)|~in(sK19_skl,sK20_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f282])).
% 0.09/0.38 fof(f340,definition,(
% 0.09/0.38 sQ0_spl <=> (subset(singleton(sK19_skl),sK20_skl))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f341,plain,(
% 0.09/0.38 subset(singleton(sK19_skl),sK20_skl)|~sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f340])).
% 0.09/0.38 fof(f342,plain,(
% 0.09/0.38 ~subset(singleton(sK19_skl),sK20_skl)|sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f340])).
% 0.09/0.38 fof(f343,definition,(
% 0.09/0.38 sQ1_spl <=> (in(sK19_skl,sK20_skl))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f344,plain,(
% 0.09/0.38 in(sK19_skl,sK20_skl)|~sQ1_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f343])).
% 0.09/0.38 fof(f346,plain,(
% 0.09/0.38 sQ0_spl|sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f283,f340,f343])).
% 0.09/0.38 fof(f347,plain,(
% 0.09/0.38 ~sQ0_spl|~sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f284,f340,f343])).
% 0.09/0.38 fof(f381,plain,(
% 0.09/0.38 subset(singleton(sK19_skl),sK20_skl)|~sQ1_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f216,f344])).
% 0.09/0.38 fof(f383,plain,(
% 0.09/0.38 $false|sQ0_spl|~sQ1_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f381,f342])).
% 0.09/0.38 fof(f384,plain,(
% 0.09/0.38 sQ0_spl|~sQ1_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f383])).
% 0.09/0.38 fof(f385,plain,(
% 0.09/0.38 in(sK19_skl,sK20_skl)|~sQ0_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f341,f215])).
% 0.09/0.38 fof(f387,plain,(
% 0.09/0.38 sQ1_spl|~sQ0_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f385,f343,f340])).
% 0.09/0.38 fof(f395,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(sat_refutation,[status(thm)],[f346,f347,f384,f387])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.039864 seconds
% 0.14/0.40 % CPU time: 0.072930 seconds
% 0.14/0.40 % Total memory used: 16.671 MB
% 0.14/0.40 % Net memory used: 16.654 MB
%------------------------------------------------------------------------------