%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU158+1 : 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 : n003.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 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU158+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 05:55:00 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % 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(f4,conjecture,(
% 0.14/0.39 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ~((! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f4])).
% 0.14/0.39 fof(f6,axiom,(
% 0.14/0.39 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 (?[A,B]: (subset(singleton(A),B)<~>in(A,B)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 ?[A,B]: ((subset(singleton(A),B)|in(A,B))&(~subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 ((subset(singleton(sK0_skl),sK1_skl)|in(sK0_skl,sK1_skl))&(~subset(singleton(sK0_skl),sK1_skl)|~in(sK0_skl,sK1_skl)))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f12])).
% 0.14/0.39 fof(f14,plain,(
% 0.14/0.39 subset(singleton(sK0_skl),sK1_skl)|in(sK0_skl,sK1_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 ~subset(singleton(sK0_skl),sK1_skl)|~in(sK0_skl,sK1_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f16,plain,(
% 0.14/0.39 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f17,plain,(
% 0.14/0.39 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f16])).
% 0.14/0.39 fof(f18,plain,(
% 0.14/0.39 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f20,definition,(
% 0.14/0.39 sQ0_spl <=> (subset(singleton(sK0_skl),sK1_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f21,plain,(
% 0.14/0.39 subset(singleton(sK0_skl),sK1_skl)|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f20])).
% 0.14/0.39 fof(f22,plain,(
% 0.14/0.39 ~subset(singleton(sK0_skl),sK1_skl)|sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f20])).
% 0.14/0.39 fof(f23,definition,(
% 0.14/0.39 sQ1_spl <=> (in(sK0_skl,sK1_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f24,plain,(
% 0.14/0.39 in(sK0_skl,sK1_skl)|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f23])).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f14,f20,f23])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f15,f20,f23])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 ~in(sK0_skl,sK1_skl)|sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f19,f22])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 $false|~sQ1_spl|sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f31,f24])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 ~sQ1_spl|sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f33])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 in(sK0_skl,sK1_skl)|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f21,f18])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 sQ1_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f35,f23,f20])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f26,f27,f34,f36])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.038658 seconds
% 0.14/0.41 % CPU time: 0.104978 seconds
% 0.14/0.41 % Total memory used: 14.986 MB
% 0.14/0.41 % Net memory used: 14.485 MB
%------------------------------------------------------------------------------