TSTP Solution File: SET995+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET995+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:40 EDT 2023
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET995+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n020.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue May 30 10:11:58 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(D,relation_dom(A))& C = apply(A,D) ) )) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f25,conjecture,(
% 0.12/0.38 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( ( relation_dom(B) = relation_dom(C)& relation_rng(B) = singleton(A)& relation_rng(C) = singleton(A) )=> B = C ) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f26,negated_conjecture,(
% 0.12/0.38 ~((! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( ( relation_dom(B) = relation_dom(C)& relation_rng(B) = singleton(A)& relation_rng(C) = singleton(A) )=> B = C ) ) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f25])).
% 0.12/0.38 fof(f35,axiom,(
% 0.12/0.38 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( ( relation(B)& function(B) )=> ( ( relation_dom(A) = relation_dom(B)& (! [C] :( in(C,relation_dom(A))=> apply(A,C) = apply(B,C) ) ))=> A = B ) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.12/0.38 inference(NNF_transformation,[status(esa)],[f4])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f42])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_0(B,A),B)|~sk0_0(B,A)=A)&(in(sk0_0(B,A),B)|sk0_0(B,A)=A))))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f43])).
% 0.12/0.38 fof(f45,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f44])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))&(in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D)))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 0.12/0.38 inference(NNF_transformation,[status(esa)],[f49])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f50])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(in(sk0_1(C,B,A),relation_dom(A))&C=apply(A,sk0_1(C,B,A)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|((~in(sk0_2(B,A),B)|(![D]: (~in(D,relation_dom(A))|~sk0_2(B,A)=apply(A,D))))&(in(sk0_2(B,A),B)|(in(sk0_3(B,A),relation_dom(A))&sk0_2(B,A)=apply(A,sk0_3(B,A)))))))))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f51])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(X3,relation_dom(X0))|~X2=apply(X0,X3))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f52])).
% 0.12/0.38 fof(f104,plain,(
% 0.12/0.38 (?[A,B]: ((relation(B)&function(B))&(?[C]: ((relation(C)&function(C))&(((relation_dom(B)=relation_dom(C)&relation_rng(B)=singleton(A))&relation_rng(C)=singleton(A))&~B=C)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.12/0.38 fof(f105,plain,(
% 0.12/0.38 ?[B]: ((relation(B)&function(B))&(?[C]: ((relation(C)&function(C))&((?[A]: ((relation_dom(B)=relation_dom(C)&relation_rng(B)=singleton(A))&relation_rng(C)=singleton(A)))&~B=C))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f104])).
% 0.12/0.38 fof(f106,plain,(
% 0.12/0.38 ((relation(sk0_13)&function(sk0_13))&((relation(sk0_14)&function(sk0_14))&(((relation_dom(sk0_13)=relation_dom(sk0_14)&relation_rng(sk0_13)=singleton(sk0_15))&relation_rng(sk0_14)=singleton(sk0_15))&~sk0_13=sk0_14)))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f105])).
% 0.12/0.38 fof(f107,plain,(
% 0.12/0.38 relation(sk0_13)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f108,plain,(
% 0.12/0.38 function(sk0_13)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f109,plain,(
% 0.12/0.38 relation(sk0_14)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f110,plain,(
% 0.12/0.38 function(sk0_14)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f111,plain,(
% 0.12/0.38 relation_dom(sk0_13)=relation_dom(sk0_14)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f112,plain,(
% 0.12/0.38 relation_rng(sk0_13)=singleton(sk0_15)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f113,plain,(
% 0.12/0.38 relation_rng(sk0_14)=singleton(sk0_15)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f114,plain,(
% 0.12/0.38 ~sk0_13=sk0_14),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.38 fof(f137,plain,(
% 0.12/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: ((~relation(B)|~function(B))|((~relation_dom(A)=relation_dom(B)|(?[C]: (in(C,relation_dom(A))&~apply(A,C)=apply(B,C))))|A=B))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.12/0.38 fof(f138,plain,(
% 0.12/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: ((~relation(B)|~function(B))|((~relation_dom(A)=relation_dom(B)|(in(sk0_16(B,A),relation_dom(A))&~apply(A,sk0_16(B,A))=apply(B,sk0_16(B,A))))|A=B))))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f137])).
% 0.12/0.38 fof(f139,plain,(
% 0.12/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~relation_dom(X0)=relation_dom(X1)|in(sk0_16(X1,X0),relation_dom(X0))|X0=X1)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.12/0.38 fof(f140,plain,(
% 0.12/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~relation_dom(X0)=relation_dom(X1)|~apply(X0,sk0_16(X1,X0))=apply(X1,sk0_16(X1,X0))|X0=X1)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f138])).
% 0.12/0.38 fof(f141,plain,(
% 0.12/0.38 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.12/0.38 inference(destructive_equality_resolution,[status(esa)],[f45])).
% 0.12/0.38 fof(f145,plain,(
% 0.12/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|in(apply(X0,X1),relation_rng(X0))|~in(X1,relation_dom(X0)))),
% 0.12/0.38 inference(destructive_equality_resolution,[status(esa)],[f55])).
% 0.12/0.38 fof(f176,plain,(
% 0.12/0.38 spl0_6 <=> relation(sk0_14)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f178,plain,(
% 0.12/0.38 ~relation(sk0_14)|spl0_6),
% 0.12/0.38 inference(component_clause,[status(thm)],[f176])).
% 0.12/0.38 fof(f181,plain,(
% 0.12/0.38 $false|spl0_6),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f178,f109])).
% 0.12/0.38 fof(f182,plain,(
% 0.12/0.38 spl0_6),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f181])).
% 0.12/0.38 fof(f183,plain,(
% 0.12/0.38 spl0_7 <=> relation(sk0_13)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f185,plain,(
% 0.12/0.38 ~relation(sk0_13)|spl0_7),
% 0.12/0.38 inference(component_clause,[status(thm)],[f183])).
% 0.12/0.38 fof(f188,plain,(
% 0.12/0.38 $false|spl0_7),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f185,f107])).
% 0.12/0.38 fof(f189,plain,(
% 0.12/0.38 spl0_7),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f188])).
% 0.12/0.38 fof(f263,plain,(
% 0.12/0.38 spl0_12 <=> function(sk0_14)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f265,plain,(
% 0.12/0.38 ~function(sk0_14)|spl0_12),
% 0.12/0.38 inference(component_clause,[status(thm)],[f263])).
% 0.12/0.38 fof(f271,plain,(
% 0.12/0.38 spl0_14 <=> function(sk0_13)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f273,plain,(
% 0.12/0.38 ~function(sk0_13)|spl0_14),
% 0.12/0.38 inference(component_clause,[status(thm)],[f271])).
% 0.12/0.38 fof(f284,plain,(
% 0.12/0.38 $false|spl0_14),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f273,f108])).
% 0.12/0.38 fof(f285,plain,(
% 0.12/0.38 spl0_14),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f284])).
% 0.12/0.38 fof(f286,plain,(
% 0.12/0.38 $false|spl0_12),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f265,f110])).
% 0.12/0.38 fof(f287,plain,(
% 0.12/0.38 spl0_12),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f286])).
% 0.12/0.38 fof(f405,plain,(
% 0.12/0.38 spl0_31 <=> in(apply(sk0_14,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_14))),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f406,plain,(
% 0.12/0.38 ![X0]: (in(apply(sk0_14,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_14))|~spl0_31)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f405])).
% 0.12/0.38 fof(f408,plain,(
% 0.12/0.38 ![X0]: (~relation(sk0_14)|~function(sk0_14)|in(apply(sk0_14,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_14)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f113,f145])).
% 0.12/0.38 fof(f409,plain,(
% 0.12/0.38 ~spl0_6|~spl0_12|spl0_31),
% 0.12/0.38 inference(split_clause,[status(thm)],[f408,f176,f263,f405])).
% 0.12/0.38 fof(f410,plain,(
% 0.12/0.38 spl0_32 <=> in(apply(sk0_13,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_13))),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f411,plain,(
% 0.12/0.38 ![X0]: (in(apply(sk0_13,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_13))|~spl0_32)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f410])).
% 0.12/0.38 fof(f413,plain,(
% 0.12/0.38 ![X0]: (~relation(sk0_13)|~function(sk0_13)|in(apply(sk0_13,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_13)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f112,f145])).
% 0.12/0.38 fof(f414,plain,(
% 0.12/0.38 ~spl0_7|~spl0_14|spl0_32),
% 0.12/0.38 inference(split_clause,[status(thm)],[f413,f183,f271,f410])).
% 0.12/0.38 fof(f415,plain,(
% 0.12/0.38 ![X0]: (in(apply(sk0_14,X0),singleton(sk0_15))|~in(X0,relation_dom(sk0_13))|~spl0_31)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f111,f406])).
% 0.12/0.38 fof(f460,plain,(
% 0.12/0.38 ![X0]: (~in(X0,relation_dom(sk0_13))|apply(sk0_14,X0)=sk0_15|~spl0_31)),
% 0.12/0.38 inference(resolution,[status(thm)],[f415,f141])).
% 0.12/0.38 fof(f521,plain,(
% 0.12/0.38 ![X0]: (~in(X0,relation_dom(sk0_13))|apply(sk0_13,X0)=sk0_15|~spl0_32)),
% 0.12/0.38 inference(resolution,[status(thm)],[f411,f141])).
% 0.12/0.38 fof(f694,plain,(
% 0.12/0.38 spl0_66 <=> in(sk0_16(sk0_14,sk0_13),relation_dom(sk0_13))),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f695,plain,(
% 0.12/0.38 in(sk0_16(sk0_14,sk0_13),relation_dom(sk0_13))|~spl0_66),
% 0.12/0.38 inference(component_clause,[status(thm)],[f694])).
% 0.12/0.38 fof(f697,plain,(
% 0.12/0.38 spl0_67 <=> sk0_13=sk0_14),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f698,plain,(
% 0.12/0.38 sk0_13=sk0_14|~spl0_67),
% 0.12/0.38 inference(component_clause,[status(thm)],[f697])).
% 0.12/0.38 fof(f700,plain,(
% 0.12/0.38 ~relation(sk0_13)|~function(sk0_13)|~relation(sk0_14)|~function(sk0_14)|in(sk0_16(sk0_14,sk0_13),relation_dom(sk0_13))|sk0_13=sk0_14),
% 0.12/0.38 inference(resolution,[status(thm)],[f139,f111])).
% 0.12/0.38 fof(f701,plain,(
% 0.12/0.38 ~spl0_7|~spl0_14|~spl0_6|~spl0_12|spl0_66|spl0_67),
% 0.12/0.38 inference(split_clause,[status(thm)],[f700,f183,f271,f176,f263,f694,f697])).
% 0.12/0.38 fof(f721,plain,(
% 0.12/0.38 $false|~spl0_67),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f698,f114])).
% 0.12/0.38 fof(f722,plain,(
% 0.12/0.38 ~spl0_67),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f721])).
% 0.12/0.38 fof(f809,plain,(
% 0.12/0.38 apply(sk0_13,sk0_16(sk0_14,sk0_13))=sk0_15|~spl0_66|~spl0_32),
% 0.12/0.38 inference(resolution,[status(thm)],[f695,f521])).
% 0.12/0.38 fof(f810,plain,(
% 0.12/0.38 apply(sk0_14,sk0_16(sk0_14,sk0_13))=sk0_15|~spl0_66|~spl0_31),
% 0.12/0.38 inference(resolution,[status(thm)],[f695,f460])).
% 0.12/0.38 fof(f833,plain,(
% 0.12/0.38 spl0_78 <=> relation_dom(sk0_13)=relation_dom(sk0_14)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f835,plain,(
% 0.12/0.38 ~relation_dom(sk0_13)=relation_dom(sk0_14)|spl0_78),
% 0.12/0.38 inference(component_clause,[status(thm)],[f833])).
% 0.12/0.38 fof(f836,plain,(
% 0.12/0.38 spl0_79 <=> apply(sk0_13,sk0_16(sk0_14,sk0_13))=sk0_15),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f838,plain,(
% 0.12/0.38 ~apply(sk0_13,sk0_16(sk0_14,sk0_13))=sk0_15|spl0_79),
% 0.12/0.38 inference(component_clause,[status(thm)],[f836])).
% 0.12/0.38 fof(f839,plain,(
% 0.12/0.38 ~relation(sk0_13)|~function(sk0_13)|~relation(sk0_14)|~function(sk0_14)|~relation_dom(sk0_13)=relation_dom(sk0_14)|~apply(sk0_13,sk0_16(sk0_14,sk0_13))=sk0_15|sk0_13=sk0_14|~spl0_66|~spl0_31),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f810,f140])).
% 0.12/0.38 fof(f840,plain,(
% 0.12/0.38 ~spl0_7|~spl0_14|~spl0_6|~spl0_12|~spl0_78|~spl0_79|spl0_67|~spl0_66|~spl0_31),
% 0.12/0.38 inference(split_clause,[status(thm)],[f839,f183,f271,f176,f263,f833,f836,f697,f694,f405])).
% 0.12/0.38 fof(f848,plain,(
% 0.12/0.38 ~relation_dom(sk0_13)=relation_dom(sk0_13)|spl0_78),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f111,f835])).
% 0.12/0.38 fof(f849,plain,(
% 0.12/0.38 $false|spl0_78),
% 0.12/0.38 inference(trivial_equality_resolution,[status(esa)],[f848])).
% 0.12/0.41 fof(f850,plain,(
% 0.12/0.41 spl0_78),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f849])).
% 0.12/0.41 fof(f851,plain,(
% 0.12/0.41 ~sk0_15=sk0_15|~spl0_66|~spl0_32|spl0_79),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f809,f838])).
% 0.12/0.41 fof(f852,plain,(
% 0.12/0.41 $false|~spl0_66|~spl0_32|spl0_79),
% 0.12/0.41 inference(trivial_equality_resolution,[status(esa)],[f851])).
% 0.12/0.41 fof(f853,plain,(
% 0.12/0.41 ~spl0_66|~spl0_32|spl0_79),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f852])).
% 0.12/0.41 fof(f854,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f182,f189,f285,f287,f409,f414,f701,f722,f840,f850,f853])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.049698 seconds
% 0.12/0.41 % CPU time: 0.034125 seconds
% 0.12/0.41 % Memory used: 4.293 MB
%------------------------------------------------------------------------------