%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU158+3 : 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 : n014.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+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:53:19 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(f5,conjecture,(
% 0.09/0.38 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,negated_conjecture,(
% 0.09/0.38 ~((! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) ))),
% 0.09/0.38 inference(negated_conjecture,[status(cth)],[f5])).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,plain,(
% 0.09/0.38 (?[A,B]: (subset(singleton(A),B)<~>in(A,B)))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.38 fof(f17,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)],[f16])).
% 0.09/0.38 fof(f18,plain,(
% 0.09/0.38 ((subset(singleton(sK2_skl),sK3_skl)|in(sK2_skl,sK3_skl))&(~subset(singleton(sK2_skl),sK3_skl)|~in(sK2_skl,sK3_skl)))),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f17])).
% 0.09/0.38 fof(f19,plain,(
% 0.09/0.38 subset(singleton(sK2_skl),sK3_skl)|in(sK2_skl,sK3_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.38 fof(f20,plain,(
% 0.09/0.38 ~subset(singleton(sK2_skl),sK3_skl)|~in(sK2_skl,sK3_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.38 fof(f21,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)],[f7])).
% 0.09/0.38 fof(f22,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)],[f21])).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.38 fof(f24,plain,(
% 0.09/0.38 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.38 fof(f25,definition,(
% 0.09/0.38 sQ0_spl <=> (subset(singleton(sK2_skl),sK3_skl))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f26,plain,(
% 0.09/0.38 subset(singleton(sK2_skl),sK3_skl)|~sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f25])).
% 0.09/0.38 fof(f27,plain,(
% 0.09/0.38 ~subset(singleton(sK2_skl),sK3_skl)|sQ0_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f25])).
% 0.09/0.38 fof(f28,definition,(
% 0.09/0.38 sQ1_spl <=> (in(sK2_skl,sK3_skl))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.38 fof(f29,plain,(
% 0.09/0.38 in(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.09/0.38 inference(component_clause,[status(thm)],[f28])).
% 0.09/0.38 fof(f31,plain,(
% 0.09/0.38 sQ0_spl|sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f19,f25,f28])).
% 0.09/0.38 fof(f32,plain,(
% 0.09/0.38 ~sQ0_spl|~sQ1_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f20,f25,f28])).
% 0.09/0.38 fof(f36,plain,(
% 0.09/0.38 ~in(sK2_skl,sK3_skl)|sQ0_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f24,f27])).
% 0.09/0.38 fof(f38,plain,(
% 0.09/0.38 $false|~sQ1_spl|sQ0_spl),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f36,f29])).
% 0.09/0.38 fof(f39,plain,(
% 0.09/0.38 ~sQ1_spl|sQ0_spl),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f38])).
% 0.09/0.38 fof(f40,plain,(
% 0.09/0.38 in(sK2_skl,sK3_skl)|~sQ0_spl),
% 0.09/0.38 inference(resolution,[status(thm)],[f26,f23])).
% 0.09/0.38 fof(f41,plain,(
% 0.09/0.38 sQ1_spl|~sQ0_spl),
% 0.09/0.38 inference(split_clause,[status(thm)],[f40,f28,f25])).
% 0.09/0.38 fof(f42,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(sat_refutation,[status(thm)],[f31,f32,f39,f41])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.042917 seconds
% 0.09/0.41 % CPU time: 0.109068 seconds
% 0.09/0.41 % Total memory used: 15.035 MB
% 0.09/0.41 % Net memory used: 14.497 MB
%------------------------------------------------------------------------------