%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET600+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:12:16 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET600+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:31:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (! [B] : ~ member(B,empty_set) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (! [B,C] : union(B,C) = union(C,B) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,axiom,(
% 0.10/0.41 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,axiom,(
% 0.10/0.41 (! [B] :( empty(B)<=> (! [C] : ~ member(C,B) )) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,conjecture,(
% 0.10/0.41 (! [B,C] :( union(B,C) = empty_set<=> ( B = empty_set& C = empty_set ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,negated_conjecture,(
% 0.10/0.41 ~((! [B,C] :( union(B,C) = empty_set<=> ( B = empty_set& C = empty_set ) ) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f9])).
% 0.10/0.41 fof(f11,plain,(
% 0.10/0.41 ![B,C,D]: ((~member(D,union(B,C))|(member(D,B)|member(D,C)))&(member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f12,plain,(
% 0.10/0.41 (![B,C,D]: (~member(D,union(B,C))|(member(D,B)|member(D,C))))&(![B,C,D]: (member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f11])).
% 0.10/0.41 fof(f13,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f15,plain,(
% 0.10/0.41 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f16,plain,(
% 0.10/0.41 ![X0]: (~member(X0,empty_set))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f17,plain,(
% 0.10/0.41 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f18,plain,(
% 0.10/0.41 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f17])).
% 0.10/0.41 fof(f21,plain,(
% 0.10/0.41 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.41 fof(f22,plain,(
% 0.10/0.41 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f23,plain,(
% 0.10/0.41 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f24,plain,(
% 0.10/0.41 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f23])).
% 0.10/0.41 fof(f25,plain,(
% 0.10/0.41 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f24])).
% 0.10/0.41 fof(f26,plain,(
% 0.10/0.41 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK0_skl(C,B),B)&~member(sK0_skl(C,B),C))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f25])).
% 0.10/0.41 fof(f28,plain,(
% 0.10/0.41 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.41 fof(f31,plain,(
% 0.10/0.41 ![B]: ((~empty(B)|(![C]: ~member(C,B)))&(empty(B)|(?[C]: member(C,B))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f32,plain,(
% 0.10/0.41 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|(?[C]: member(C,B))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f31])).
% 0.10/0.41 fof(f33,plain,(
% 0.10/0.41 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|member(sK1_skl(B),B)))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B))],[f32])).
% 0.10/0.41 fof(f34,plain,(
% 0.10/0.41 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.41 fof(f35,plain,(
% 0.10/0.41 ![X0]: (empty(X0)|member(sK1_skl(X0),X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 (?[B,C]: (union(B,C)=empty_set<~>(B=empty_set&C=empty_set)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 ?[B,C]: ((union(B,C)=empty_set|(B=empty_set&C=empty_set))&(~union(B,C)=empty_set|(~B=empty_set|~C=empty_set)))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f43])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 ((union(sK3_skl,sK4_skl)=empty_set|(sK3_skl=empty_set&sK4_skl=empty_set))&(~union(sK3_skl,sK4_skl)=empty_set|(~sK3_skl=empty_set|~sK4_skl=empty_set)))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f44])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 union(sK3_skl,sK4_skl)=empty_set|sK3_skl=empty_set),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 union(sK3_skl,sK4_skl)=empty_set|sK4_skl=empty_set),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.10/0.41 fof(f48,plain,(
% 0.10/0.41 ~union(sK3_skl,sK4_skl)=empty_set|~sK3_skl=empty_set|~sK4_skl=empty_set),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.10/0.41 fof(f49,definition,(
% 0.10/0.41 sQ0_spl <=> (union(sK3_skl,sK4_skl)=empty_set)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 union(sK3_skl,sK4_skl)=empty_set|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f49])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 ~union(sK3_skl,sK4_skl)=empty_set|sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f49])).
% 0.10/0.41 fof(f52,definition,(
% 0.10/0.41 sQ1_spl <=> (sK3_skl=empty_set)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 sK3_skl=empty_set|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f52])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f46,f49,f52])).
% 0.10/0.41 fof(f56,definition,(
% 0.10/0.41 sQ2_spl <=> (sK4_skl=empty_set)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 sK4_skl=empty_set|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f56])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 ~sK4_skl=empty_set|sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f56])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 sQ0_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f47,f49,f56])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f48,f49,f52,f56])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 empty_set=union(sK4_skl,sK3_skl)|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f50,f22])).
% 0.10/0.41 fof(f75,plain,(
% 0.10/0.41 ![X0,X1]: (empty(union(X0,X1))|member(sK1_skl(union(X0,X1)),X0)|member(sK1_skl(union(X0,X1)),X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f35,f13])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 ![X0,X1]: (empty(X0)|member(sK1_skl(X0),union(X1,X0)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f35,f15])).
% 0.10/0.41 fof(f82,plain,(
% 0.10/0.41 empty(union(empty_set,empty_set))),
% 0.10/0.41 inference(resolution,[status(thm)],[f75,f16])).
% 0.10/0.41 fof(f142,plain,(
% 0.10/0.41 ![X0]: (subset(empty_set,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f28,f16])).
% 0.10/0.41 fof(f143,plain,(
% 0.10/0.41 ![X0,X1]: (subset(X0,X1)|~empty(X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f28,f34])).
% 0.10/0.41 fof(f146,plain,(
% 0.10/0.41 ![X0]: (X0=empty_set|~subset(X0,empty_set))),
% 0.10/0.41 inference(resolution,[status(thm)],[f142,f21])).
% 0.10/0.41 fof(f147,plain,(
% 0.10/0.41 ![X0]: (subset(union(empty_set,empty_set),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f143,f82])).
% 0.10/0.41 fof(f151,plain,(
% 0.10/0.41 union(empty_set,empty_set)=empty_set),
% 0.10/0.41 inference(resolution,[status(thm)],[f147,f146])).
% 0.10/0.41 fof(f155,plain,(
% 0.10/0.41 empty(union(empty_set,empty_set))|member(sK1_skl(union(empty_set,empty_set)),empty_set)|member(sK1_skl(empty_set),empty_set)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f151,f75])).
% 0.10/0.41 fof(f158,definition,(
% 0.10/0.41 sQ11_spl <=> (empty(union(empty_set,empty_set)))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f161,definition,(
% 0.10/0.41 sQ12_spl <=> (member(sK1_skl(union(empty_set,empty_set)),empty_set))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f164,definition,(
% 0.10/0.41 sQ13_spl <=> (member(sK1_skl(empty_set),empty_set))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f165,plain,(
% 0.10/0.41 member(sK1_skl(empty_set),empty_set)|~sQ13_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f164])).
% 0.10/0.41 fof(f167,plain,(
% 0.10/0.41 sQ11_spl|sQ12_spl|sQ13_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f155,f158,f161,f164])).
% 0.10/0.41 fof(f170,plain,(
% 0.10/0.41 $false|~sQ13_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f165,f16])).
% 0.10/0.41 fof(f171,plain,(
% 0.10/0.41 ~sQ13_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f170])).
% 0.10/0.41 fof(f226,plain,(
% 0.10/0.41 union(empty_set,empty_set)=sK3_skl|~sQ1_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f53,f151])).
% 0.10/0.41 fof(f230,plain,(
% 0.10/0.41 ![X0]: (~member(X0,sK3_skl)|~sQ1_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f53,f16])).
% 0.10/0.41 fof(f231,plain,(
% 0.10/0.41 union(sK3_skl,empty_set)=sK3_skl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f53,f226])).
% 0.10/0.41 fof(f232,plain,(
% 0.10/0.41 union(sK3_skl,sK3_skl)=sK3_skl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f53,f231])).
% 0.10/0.41 fof(f234,plain,(
% 0.10/0.41 sK3_skl=sK4_skl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f57,f53])).
% 0.10/0.41 fof(f238,plain,(
% 0.10/0.41 ~union(sK4_skl,sK4_skl)=empty_set|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f234,f51])).
% 0.10/0.41 fof(f239,plain,(
% 0.10/0.41 ~union(sK4_skl,sK4_skl)=sK4_skl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f57,f238])).
% 0.10/0.41 fof(f257,plain,(
% 0.10/0.41 union(sK4_skl,sK3_skl)=sK3_skl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f234,f232])).
% 0.10/0.41 fof(f258,plain,(
% 0.10/0.41 union(sK4_skl,sK4_skl)=sK3_skl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f234,f257])).
% 0.10/0.41 fof(f259,plain,(
% 0.10/0.41 union(sK4_skl,sK4_skl)=sK4_skl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f234,f258])).
% 0.10/0.41 fof(f260,plain,(
% 0.10/0.41 $false|sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f259,f239])).
% 0.10/0.41 fof(f261,plain,(
% 0.10/0.41 sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f260])).
% 0.10/0.41 fof(f293,definition,(
% 0.10/0.41 sQ15_spl <=> (empty(sK4_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f294,plain,(
% 0.10/0.41 empty(sK4_skl)|~sQ15_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f293])).
% 0.10/0.41 fof(f300,plain,(
% 0.10/0.41 ![X0]: (subset(sK4_skl,X0)|~sQ15_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f294,f143])).
% 0.10/0.41 fof(f307,plain,(
% 0.10/0.41 empty(sK3_skl)|member(sK1_skl(sK3_skl),empty_set)|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f63,f78])).
% 0.10/0.41 fof(f311,definition,(
% 0.10/0.41 sQ17_spl <=> (empty(sK3_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f312,plain,(
% 0.10/0.41 empty(sK3_skl)|~sQ17_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f311])).
% 0.10/0.41 fof(f314,definition,(
% 0.10/0.41 sQ18_spl <=> (member(sK1_skl(sK3_skl),empty_set))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f315,plain,(
% 0.10/0.41 member(sK1_skl(sK3_skl),empty_set)|~sQ18_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f314])).
% 0.10/0.41 fof(f317,plain,(
% 0.10/0.41 sQ17_spl|sQ18_spl|~sQ0_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f307,f311,f314,f49])).
% 0.10/0.41 fof(f320,plain,(
% 0.10/0.41 ![X0]: (subset(sK3_skl,X0)|~sQ17_spl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f312,f143])).
% 0.10/0.41 fof(f324,plain,(
% 0.10/0.41 empty(empty_set)|member(sK1_skl(empty_set),empty_set)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f151,f78])).
% 0.10/0.41 fof(f328,definition,(
% 0.10/0.41 sQ19_spl <=> (empty(empty_set))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f331,plain,(
% 0.10/0.41 sQ19_spl|sQ13_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f324,f328,f164])).
% 0.10/0.41 fof(f334,plain,(
% 0.10/0.41 sK3_skl=empty_set|~sQ17_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f146,f320])).
% 0.10/0.41 fof(f335,plain,(
% 0.10/0.41 sK4_skl=empty_set|~sQ15_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f146,f300])).
% 0.10/0.41 fof(f338,plain,(
% 0.10/0.41 sQ1_spl|~sQ17_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f334,f52,f311])).
% 0.10/0.41 fof(f339,plain,(
% 0.10/0.41 $false|~sQ18_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f315,f16])).
% 0.10/0.41 fof(f340,plain,(
% 0.10/0.41 ~sQ18_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f339])).
% 0.10/0.41 fof(f352,plain,(
% 0.10/0.41 ~sK4_skl=sK4_skl|~sQ15_spl|sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f335,f58])).
% 0.10/0.41 fof(f353,plain,(
% 0.10/0.41 $false|~sQ15_spl|sQ2_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f352])).
% 0.10/0.41 fof(f354,plain,(
% 0.10/0.41 ~sQ15_spl|sQ2_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f353])).
% 0.10/0.41 fof(f369,plain,(
% 0.10/0.41 union(sK3_skl,sK4_skl)=sK3_skl|~sQ1_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f53,f50])).
% 0.10/0.41 fof(f372,plain,(
% 0.10/0.41 empty(sK4_skl)|member(sK1_skl(sK4_skl),sK3_skl)|~sQ1_spl|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f369,f78])).
% 0.10/0.41 fof(f378,definition,(
% 0.10/0.41 sQ20_spl <=> (member(sK1_skl(sK4_skl),sK3_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f379,plain,(
% 0.10/0.41 member(sK1_skl(sK4_skl),sK3_skl)|~sQ20_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f378])).
% 0.10/0.41 fof(f381,plain,(
% 0.10/0.41 sQ15_spl|sQ20_spl|~sQ1_spl|~sQ0_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f372,f293,f378,f52,f49])).
% 0.10/0.41 fof(f390,plain,(
% 0.10/0.41 $false|~sQ1_spl|~sQ20_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f379,f230])).
% 0.10/0.41 fof(f391,plain,(
% 0.10/0.41 ~sQ1_spl|~sQ20_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f390])).
% 0.10/0.41 fof(f392,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f55,f59,f60,f167,f171,f261,f317,f331,f338,f340,f354,f381,f391])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.058689 seconds
% 0.10/0.43 % CPU time: 0.173612 seconds
% 0.10/0.43 % Total memory used: 102.165 MB
% 0.10/0.43 % Net memory used: 101.764 MB
%------------------------------------------------------------------------------