%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET899+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:12:49 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET899+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.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 05:46:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f5,conjecture,(
% 0.15/0.39 (! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,negated_conjecture,(
% 0.15/0.39 ~((! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) ))),
% 0.15/0.39 inference(negated_conjecture,[status(cth)],[f5])).
% 0.15/0.39 fof(f7,axiom,(
% 0.15/0.39 (! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f16,plain,(
% 0.15/0.39 (?[A,B,C]: (subset(A,B)&(~in(C,A)&~subset(A,set_difference(B,singleton(C))))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f17,plain,(
% 0.15/0.39 ?[A,B]: (subset(A,B)&(?[C]: (~in(C,A)&~subset(A,set_difference(B,singleton(C))))))),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f16])).
% 0.15/0.39 fof(f18,plain,(
% 0.15/0.39 (subset(sK2_skl,sK3_skl)&(~in(sK4_skl,sK2_skl)&~subset(sK2_skl,set_difference(sK3_skl,singleton(sK4_skl)))))),
% 0.15/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f17])).
% 0.15/0.39 fof(f19,plain,(
% 0.15/0.39 subset(sK2_skl,sK3_skl)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.39 fof(f20,plain,(
% 0.15/0.39 ~in(sK4_skl,sK2_skl)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.39 fof(f21,plain,(
% 0.15/0.39 ~subset(sK2_skl,set_difference(sK3_skl,singleton(sK4_skl)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.39 fof(f22,plain,(
% 0.15/0.39 ![A,B,C]: (~subset(A,B)|(in(C,A)|subset(A,set_difference(B,singleton(C)))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.15/0.39 fof(f23,plain,(
% 0.15/0.39 ![A,B]: (~subset(A,B)|(![C]: (in(C,A)|subset(A,set_difference(B,singleton(C))))))),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.15/0.39 fof(f24,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~subset(X0,X1)|in(X2,X0)|subset(X0,set_difference(X1,singleton(X2))))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.39 fof(f25,plain,(
% 0.15/0.39 ~subset(sK2_skl,sK3_skl)|in(sK4_skl,sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f24,f21])).
% 0.15/0.39 fof(f26,definition,(
% 0.15/0.39 sQ0_spl <=> (subset(sK2_skl,sK3_skl))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f28,plain,(
% 0.15/0.39 ~subset(sK2_skl,sK3_skl)|sQ0_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f26])).
% 0.15/0.39 fof(f29,definition,(
% 0.15/0.39 sQ1_spl <=> (in(sK4_skl,sK2_skl))),
% 0.15/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 in(sK4_skl,sK2_skl)|~sQ1_spl),
% 0.15/0.39 inference(component_clause,[status(thm)],[f29])).
% 0.15/0.39 fof(f32,plain,(
% 0.15/0.39 ~sQ0_spl|sQ1_spl),
% 0.15/0.39 inference(split_clause,[status(thm)],[f25,f26,f29])).
% 0.15/0.39 fof(f33,plain,(
% 0.15/0.39 $false|sQ0_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f28,f19])).
% 0.15/0.39 fof(f34,plain,(
% 0.15/0.39 sQ0_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f33])).
% 0.15/0.39 fof(f35,plain,(
% 0.15/0.39 $false|~sQ1_spl),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f20])).
% 0.15/0.39 fof(f36,plain,(
% 0.15/0.39 ~sQ1_spl),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f35])).
% 0.15/0.39 fof(f37,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f32,f34,f36])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.033401 seconds
% 0.15/0.40 % CPU time: 0.085293 seconds
% 0.15/0.40 % Total memory used: 11.405 MB
% 0.15/0.40 % Net memory used: 11.025 MB
%------------------------------------------------------------------------------