TSTP Solution File: SET606+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 : Tue Apr 30 20:39:57 EDT 2024
% Result : Theorem 18.42s 2.69s
% Output : CNFRefutation 18.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Mon Apr 29 22:03:49 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 18.42/2.69 % Refutation found
% 18.42/2.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.42/2.69 % SZS output start CNFRefutation for theBenchmark
% 18.42/2.69 fof(f1,axiom,(
% 18.42/2.69 (! [B,C] :( (! [D] :( member(D,B)<=> member(D,C) ))=> B = C ) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f2,axiom,(
% 18.42/2.69 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f3,axiom,(
% 18.42/2.69 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f4,axiom,(
% 18.42/2.69 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f6,axiom,(
% 18.42/2.69 (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f7,axiom,(
% 18.42/2.69 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f9,conjecture,(
% 18.42/2.69 (! [B,C] : difference(B,intersection(B,C)) = difference(B,C) )),
% 18.42/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.42/2.69 fof(f10,negated_conjecture,(
% 18.42/2.69 ~((! [B,C] : difference(B,intersection(B,C)) = difference(B,C) ))),
% 18.42/2.69 inference(negated_conjecture,[status(cth)],[f9])).
% 18.42/2.69 fof(f11,plain,(
% 18.42/2.69 ![B,C]: ((?[D]: (member(D,B)<~>member(D,C)))|B=C)),
% 18.42/2.69 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 18.42/2.69 fof(f12,plain,(
% 18.42/2.69 ![B,C]: ((?[D]: ((member(D,B)|member(D,C))&(~member(D,B)|~member(D,C))))|B=C)),
% 18.42/2.69 inference(NNF_transformation,[status(esa)],[f11])).
% 18.42/2.69 fof(f13,plain,(
% 18.42/2.69 ![B,C]: (((member(sk0_0(C,B),B)|member(sk0_0(C,B),C))&(~member(sk0_0(C,B),B)|~member(sk0_0(C,B),C)))|B=C)),
% 18.42/2.69 inference(skolemization,[status(esa)],[f12])).
% 18.42/2.69 fof(f14,plain,(
% 18.42/2.69 ![X0,X1]: (member(sk0_0(X0,X1),X1)|member(sk0_0(X0,X1),X0)|X1=X0)),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f13])).
% 18.42/2.69 fof(f15,plain,(
% 18.42/2.69 ![X0,X1]: (~member(sk0_0(X0,X1),X1)|~member(sk0_0(X0,X1),X0)|X1=X0)),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f13])).
% 18.42/2.69 fof(f16,plain,(
% 18.42/2.69 ![B,C,D]: ((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&(member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 18.42/2.69 inference(NNF_transformation,[status(esa)],[f2])).
% 18.42/2.69 fof(f17,plain,(
% 18.42/2.69 (![B,C,D]: (~member(D,intersection(B,C))|(member(D,B)&member(D,C))))&(![B,C,D]: (member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 18.42/2.69 inference(miniscoping,[status(esa)],[f16])).
% 18.42/2.69 fof(f18,plain,(
% 18.42/2.69 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f17])).
% 18.42/2.69 fof(f19,plain,(
% 18.42/2.69 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f17])).
% 18.42/2.69 fof(f20,plain,(
% 18.42/2.69 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f17])).
% 18.42/2.69 fof(f21,plain,(
% 18.42/2.69 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 18.42/2.69 inference(NNF_transformation,[status(esa)],[f3])).
% 18.42/2.69 fof(f22,plain,(
% 18.42/2.69 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 18.42/2.69 inference(miniscoping,[status(esa)],[f21])).
% 18.42/2.69 fof(f23,plain,(
% 18.42/2.69 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f22])).
% 18.42/2.69 fof(f24,plain,(
% 18.42/2.69 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f22])).
% 18.42/2.69 fof(f25,plain,(
% 18.42/2.69 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f22])).
% 18.42/2.69 fof(f26,plain,(
% 18.42/2.69 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 18.42/2.69 inference(NNF_transformation,[status(esa)],[f4])).
% 18.42/2.69 fof(f27,plain,(
% 18.42/2.69 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 18.42/2.69 inference(miniscoping,[status(esa)],[f26])).
% 18.42/2.69 fof(f30,plain,(
% 18.42/2.69 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f27])).
% 18.42/2.71 fof(f32,plain,(
% 18.42/2.71 ![B,C]: ((~B=C|(![D]: ((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C)))))&(B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 18.42/2.71 inference(NNF_transformation,[status(esa)],[f6])).
% 18.42/2.71 fof(f33,plain,(
% 18.42/2.71 (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 18.42/2.71 inference(miniscoping,[status(esa)],[f32])).
% 18.42/2.71 fof(f34,plain,(
% 18.42/2.71 (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|((~member(sk0_1(C,B),B)|~member(sk0_1(C,B),C))&(member(sk0_1(C,B),B)|member(sk0_1(C,B),C)))))),
% 18.42/2.71 inference(skolemization,[status(esa)],[f33])).
% 18.42/2.71 fof(f37,plain,(
% 18.42/2.71 ![X0,X1]: (X0=X1|~member(sk0_1(X1,X0),X0)|~member(sk0_1(X1,X0),X1))),
% 18.42/2.71 inference(cnf_transformation,[status(esa)],[f34])).
% 18.42/2.71 fof(f38,plain,(
% 18.42/2.71 ![X0,X1]: (X0=X1|member(sk0_1(X1,X0),X0)|member(sk0_1(X1,X0),X1))),
% 18.42/2.71 inference(cnf_transformation,[status(esa)],[f34])).
% 18.42/2.71 fof(f39,plain,(
% 18.42/2.71 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 18.42/2.71 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 18.42/2.71 fof(f40,plain,(
% 18.42/2.71 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 18.42/2.71 inference(NNF_transformation,[status(esa)],[f39])).
% 18.42/2.71 fof(f41,plain,(
% 18.42/2.71 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 18.42/2.71 inference(miniscoping,[status(esa)],[f40])).
% 18.42/2.71 fof(f42,plain,(
% 18.42/2.71 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sk0_2(C,B),B)&~member(sk0_2(C,B),C))))),
% 18.42/2.71 inference(skolemization,[status(esa)],[f41])).
% 18.42/2.71 fof(f43,plain,(
% 18.42/2.71 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 18.42/2.71 inference(cnf_transformation,[status(esa)],[f42])).
% 18.42/2.71 fof(f44,plain,(
% 18.42/2.71 ![X0,X1]: (subset(X0,X1)|member(sk0_2(X1,X0),X0))),
% 18.42/2.71 inference(cnf_transformation,[status(esa)],[f42])).
% 18.42/2.71 fof(f45,plain,(
% 18.42/2.71 ![X0,X1]: (subset(X0,X1)|~member(sk0_2(X1,X0),X1))),
% 18.42/2.71 inference(cnf_transformation,[status(esa)],[f42])).
% 18.42/2.71 fof(f47,plain,(
% 18.42/2.71 (?[B,C]: ~difference(B,intersection(B,C))=difference(B,C))),
% 18.42/2.71 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 18.42/2.71 fof(f48,plain,(
% 18.42/2.71 ~difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)),
% 18.42/2.71 inference(skolemization,[status(esa)],[f47])).
% 18.42/2.71 fof(f49,plain,(
% 18.42/2.71 ~difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)),
% 18.42/2.71 inference(cnf_transformation,[status(esa)],[f48])).
% 18.42/2.71 fof(f71,plain,(
% 18.42/2.71 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(intersection(X1,X2),X3))|~member(X0,X3))),
% 18.42/2.71 inference(resolution,[status(thm)],[f20,f20])).
% 18.42/2.71 fof(f77,plain,(
% 18.42/2.71 ![X0,X1,X2,X3]: (member(X0,intersection(X1,X2))|~member(X0,X2)|~member(X0,intersection(X3,X1)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f20,f19])).
% 18.42/2.71 fof(f79,plain,(
% 18.42/2.71 ![X0,X1,X2,X3]: (member(X0,intersection(X1,X2))|~member(X0,X2)|~member(X0,intersection(X1,X3)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f20,f18])).
% 18.42/2.71 fof(f81,plain,(
% 18.42/2.71 ![X0,X1,X2,X3]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,difference(X2,X3)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f20,f23])).
% 18.42/2.71 fof(f89,plain,(
% 18.42/2.71 ![X0,X1,X2,X3]: (~member(X0,difference(X1,intersection(X2,X3)))|~member(X0,X2)|~member(X0,X3))),
% 18.42/2.71 inference(resolution,[status(thm)],[f24,f20])).
% 18.42/2.71 fof(f90,plain,(
% 18.42/2.71 ![X0,X1,X2,X3]: (~member(X0,difference(X1,X2))|~member(X0,difference(X2,X3)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f24,f23])).
% 18.42/2.71 fof(f265,plain,(
% 18.42/2.71 spl0_0 <=> subset(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f267,plain,(
% 18.42/2.71 ~subset(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_0),
% 18.42/2.71 inference(component_clause,[status(thm)],[f265])).
% 18.42/2.71 fof(f268,plain,(
% 18.42/2.71 spl0_1 <=> subset(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f270,plain,(
% 18.42/2.71 ~subset(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4)))|spl0_1),
% 18.42/2.71 inference(component_clause,[status(thm)],[f268])).
% 18.42/2.71 fof(f271,plain,(
% 18.42/2.71 ~subset(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~subset(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f30,f49])).
% 18.42/2.71 fof(f272,plain,(
% 18.42/2.71 ~spl0_0|~spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f271,f265,f268])).
% 18.42/2.71 fof(f275,plain,(
% 18.42/2.71 ![X0,X1]: (member(sk0_2(X0,X1),X1)|X0=X1|~subset(X0,X1))),
% 18.42/2.71 inference(resolution,[status(thm)],[f44,f30])).
% 18.42/2.71 fof(f293,plain,(
% 18.42/2.71 ![X0,X1]: (~member(sk0_2(X0,X1),X0)|X0=X1|~subset(X0,X1))),
% 18.42/2.71 inference(resolution,[status(thm)],[f45,f30])).
% 18.42/2.71 fof(f365,plain,(
% 18.42/2.71 spl0_3 <=> member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f368,plain,(
% 18.42/2.71 member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|~subset(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f275,f49])).
% 18.42/2.71 fof(f369,plain,(
% 18.42/2.71 spl0_3|~spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f368,f365,f268])).
% 18.42/2.71 fof(f390,plain,(
% 18.42/2.71 spl0_5 <=> member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f392,plain,(
% 18.42/2.71 ~member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))|spl0_5),
% 18.42/2.71 inference(component_clause,[status(thm)],[f390])).
% 18.42/2.71 fof(f393,plain,(
% 18.42/2.71 ~member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))|~subset(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f293,f49])).
% 18.42/2.71 fof(f394,plain,(
% 18.42/2.71 ~spl0_5|~spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f393,f390,f268])).
% 18.42/2.71 fof(f552,plain,(
% 18.42/2.71 spl0_6 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f553,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|~spl0_6),
% 18.42/2.71 inference(component_clause,[status(thm)],[f552])).
% 18.42/2.71 fof(f554,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|spl0_6),
% 18.42/2.71 inference(component_clause,[status(thm)],[f552])).
% 18.42/2.71 fof(f555,plain,(
% 18.42/2.71 spl0_7 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f557,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))|spl0_7),
% 18.42/2.71 inference(component_clause,[status(thm)],[f555])).
% 18.42/2.71 fof(f560,plain,(
% 18.42/2.71 spl0_8 <=> member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f561,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~spl0_8),
% 18.42/2.71 inference(component_clause,[status(thm)],[f560])).
% 18.42/2.71 fof(f562,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_8),
% 18.42/2.71 inference(component_clause,[status(thm)],[f560])).
% 18.42/2.71 fof(f563,plain,(
% 18.42/2.71 spl0_9 <=> member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f564,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))|~spl0_9),
% 18.42/2.71 inference(component_clause,[status(thm)],[f563])).
% 18.42/2.71 fof(f565,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))|spl0_9),
% 18.42/2.71 inference(component_clause,[status(thm)],[f563])).
% 18.42/2.71 fof(f566,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f14,f49])).
% 18.42/2.71 fof(f567,plain,(
% 18.42/2.71 spl0_8|spl0_9),
% 18.42/2.71 inference(split_clause,[status(thm)],[f566,f560,f563])).
% 18.42/2.71 fof(f604,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))),
% 18.42/2.71 inference(resolution,[status(thm)],[f15,f49])).
% 18.42/2.71 fof(f605,plain,(
% 18.42/2.71 ~spl0_6|~spl0_7),
% 18.42/2.71 inference(split_clause,[status(thm)],[f604,f552,f555])).
% 18.42/2.71 fof(f606,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f15,f49])).
% 18.42/2.71 fof(f607,plain,(
% 18.42/2.71 ~spl0_8|~spl0_9),
% 18.42/2.71 inference(split_clause,[status(thm)],[f606,f560,f563])).
% 18.42/2.71 fof(f612,plain,(
% 18.42/2.71 spl0_10 <=> member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f613,plain,(
% 18.42/2.71 member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|~spl0_10),
% 18.42/2.71 inference(component_clause,[status(thm)],[f612])).
% 18.42/2.71 fof(f614,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|spl0_10),
% 18.42/2.71 inference(component_clause,[status(thm)],[f612])).
% 18.42/2.71 fof(f615,plain,(
% 18.42/2.71 spl0_11 <=> member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f616,plain,(
% 18.42/2.71 member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))|~spl0_11),
% 18.42/2.71 inference(component_clause,[status(thm)],[f615])).
% 18.42/2.71 fof(f618,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))),
% 18.42/2.71 inference(resolution,[status(thm)],[f37,f49])).
% 18.42/2.71 fof(f619,plain,(
% 18.42/2.71 ~spl0_10|~spl0_11),
% 18.42/2.71 inference(split_clause,[status(thm)],[f618,f612,f615])).
% 18.42/2.71 fof(f620,plain,(
% 18.42/2.71 spl0_12 <=> member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f622,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_12),
% 18.42/2.71 inference(component_clause,[status(thm)],[f620])).
% 18.42/2.71 fof(f623,plain,(
% 18.42/2.71 spl0_13 <=> member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f624,plain,(
% 18.42/2.71 member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))|~spl0_13),
% 18.42/2.71 inference(component_clause,[status(thm)],[f623])).
% 18.42/2.71 fof(f626,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f37,f49])).
% 18.42/2.71 fof(f627,plain,(
% 18.42/2.71 ~spl0_12|~spl0_13),
% 18.42/2.71 inference(split_clause,[status(thm)],[f626,f620,f623])).
% 18.42/2.71 fof(f683,plain,(
% 18.42/2.71 member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_1),
% 18.42/2.71 inference(resolution,[status(thm)],[f270,f44])).
% 18.42/2.71 fof(f700,plain,(
% 18.42/2.71 spl0_14 <=> member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f702,plain,(
% 18.42/2.71 ~member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|spl0_14),
% 18.42/2.71 inference(component_clause,[status(thm)],[f700])).
% 18.42/2.71 fof(f703,plain,(
% 18.42/2.71 spl0_15 <=> member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f704,plain,(
% 18.42/2.71 member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|~spl0_15),
% 18.42/2.71 inference(component_clause,[status(thm)],[f703])).
% 18.42/2.71 fof(f706,plain,(
% 18.42/2.71 ~member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|spl0_5),
% 18.42/2.71 inference(resolution,[status(thm)],[f392,f25])).
% 18.42/2.71 fof(f707,plain,(
% 18.42/2.71 ~spl0_14|spl0_15|spl0_5),
% 18.42/2.71 inference(split_clause,[status(thm)],[f706,f700,f703,f390])).
% 18.42/2.71 fof(f757,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,X0))|spl0_14)),
% 18.42/2.71 inference(resolution,[status(thm)],[f702,f23])).
% 18.42/2.71 fof(f780,plain,(
% 18.42/2.71 spl0_16 <=> difference(sk0_3,sk0_4)=difference(sk0_3,intersection(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f781,plain,(
% 18.42/2.71 difference(sk0_3,sk0_4)=difference(sk0_3,intersection(sk0_3,sk0_4))|~spl0_16),
% 18.42/2.71 inference(component_clause,[status(thm)],[f780])).
% 18.42/2.71 fof(f785,plain,(
% 18.42/2.71 subset(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_14),
% 18.42/2.71 inference(resolution,[status(thm)],[f757,f44])).
% 18.42/2.71 fof(f786,plain,(
% 18.42/2.71 $false|spl0_0|spl0_14),
% 18.42/2.71 inference(forward_subsumption_resolution,[status(thm)],[f785,f267])).
% 18.42/2.71 fof(f787,plain,(
% 18.42/2.71 spl0_0|spl0_14),
% 18.42/2.71 inference(contradiction_clause,[status(thm)],[f786])).
% 18.42/2.71 fof(f788,plain,(
% 18.42/2.71 $false|~spl0_16),
% 18.42/2.71 inference(forward_subsumption_resolution,[status(thm)],[f781,f49])).
% 18.42/2.71 fof(f789,plain,(
% 18.42/2.71 ~spl0_16),
% 18.42/2.71 inference(contradiction_clause,[status(thm)],[f788])).
% 18.42/2.71 fof(f790,plain,(
% 18.42/2.71 spl0_17 <=> member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f792,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|spl0_17),
% 18.42/2.71 inference(component_clause,[status(thm)],[f790])).
% 18.42/2.71 fof(f793,plain,(
% 18.42/2.71 spl0_18 <=> member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f794,plain,(
% 18.42/2.71 member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|~spl0_18),
% 18.42/2.71 inference(component_clause,[status(thm)],[f793])).
% 18.42/2.71 fof(f796,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|spl0_12),
% 18.42/2.71 inference(resolution,[status(thm)],[f622,f25])).
% 18.42/2.71 fof(f797,plain,(
% 18.42/2.71 ~spl0_17|spl0_18|spl0_12),
% 18.42/2.71 inference(split_clause,[status(thm)],[f796,f790,f793,f620])).
% 18.42/2.71 fof(f854,plain,(
% 18.42/2.71 ![X0]: (~subset(sk0_4,X0)|member(sk0_2(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),X0)|~spl0_15)),
% 18.42/2.71 inference(resolution,[status(thm)],[f704,f43])).
% 18.42/2.71 fof(f919,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,X0))|spl0_17)),
% 18.42/2.71 inference(resolution,[status(thm)],[f792,f23])).
% 18.42/2.71 fof(f1145,plain,(
% 18.42/2.71 spl0_22 <=> member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1147,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|spl0_22),
% 18.42/2.71 inference(component_clause,[status(thm)],[f1145])).
% 18.42/2.71 fof(f1148,plain,(
% 18.42/2.71 spl0_23 <=> member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),intersection(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1151,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),intersection(sk0_3,sk0_4))|spl0_10),
% 18.42/2.71 inference(resolution,[status(thm)],[f614,f25])).
% 18.42/2.71 fof(f1152,plain,(
% 18.42/2.71 ~spl0_22|spl0_23|spl0_10),
% 18.42/2.71 inference(split_clause,[status(thm)],[f1151,f1145,f1148,f612])).
% 18.42/2.71 fof(f1197,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|~spl0_8),
% 18.42/2.71 inference(resolution,[status(thm)],[f561,f24])).
% 18.42/2.71 fof(f1198,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|~spl0_8),
% 18.42/2.71 inference(resolution,[status(thm)],[f561,f23])).
% 18.42/2.71 fof(f1241,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,X0))|spl0_22)),
% 18.42/2.71 inference(resolution,[status(thm)],[f1147,f23])).
% 18.42/2.71 fof(f1276,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(X0,sk0_4))|~spl0_8)),
% 18.42/2.71 inference(resolution,[status(thm)],[f1197,f19])).
% 18.42/2.71 fof(f1300,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(X0,sk0_3))|~spl0_8)),
% 18.42/2.71 inference(resolution,[status(thm)],[f1198,f24])).
% 18.42/2.71 fof(f1325,plain,(
% 18.42/2.71 spl0_24 <=> member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),X0)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1449,plain,(
% 18.42/2.71 spl0_26 <=> member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1493,plain,(
% 18.42/2.71 spl0_28 <=> ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1494,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|~spl0_28)),
% 18.42/2.71 inference(component_clause,[status(thm)],[f1493])).
% 18.42/2.71 fof(f1576,plain,(
% 18.42/2.71 spl0_29 <=> member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1579,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|~spl0_8)),
% 18.42/2.71 inference(resolution,[status(thm)],[f1300,f25])).
% 18.42/2.71 fof(f1580,plain,(
% 18.42/2.71 spl0_28|spl0_29|~spl0_8),
% 18.42/2.71 inference(split_clause,[status(thm)],[f1579,f1493,f1576,f560])).
% 18.42/2.71 fof(f1617,plain,(
% 18.42/2.71 $false|~spl0_28|~spl0_8),
% 18.42/2.71 inference(backward_subsumption_resolution,[status(thm)],[f1198,f1494])).
% 18.42/2.71 fof(f1618,plain,(
% 18.42/2.71 ~spl0_28|~spl0_8),
% 18.42/2.71 inference(contradiction_clause,[status(thm)],[f1617])).
% 18.42/2.71 fof(f1621,plain,(
% 18.42/2.71 spl0_30 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1623,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|spl0_30),
% 18.42/2.71 inference(component_clause,[status(thm)],[f1621])).
% 18.42/2.71 fof(f1624,plain,(
% 18.42/2.71 spl0_31 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f1625,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|~spl0_31),
% 18.42/2.71 inference(component_clause,[status(thm)],[f1624])).
% 18.42/2.71 fof(f1627,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|spl0_7),
% 18.42/2.71 inference(resolution,[status(thm)],[f557,f25])).
% 18.42/2.71 fof(f1628,plain,(
% 18.42/2.71 ~spl0_30|spl0_31|spl0_7),
% 18.42/2.71 inference(split_clause,[status(thm)],[f1627,f1621,f1624,f555])).
% 18.42/2.71 fof(f3231,plain,(
% 18.42/2.71 member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))),
% 18.42/2.71 inference(resolution,[status(thm)],[f38,f49])).
% 18.42/2.71 fof(f3232,plain,(
% 18.42/2.71 spl0_10|spl0_11),
% 18.42/2.71 inference(split_clause,[status(thm)],[f3231,f612,f615])).
% 18.42/2.71 fof(f3233,plain,(
% 18.42/2.71 member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))),
% 18.42/2.71 inference(resolution,[status(thm)],[f38,f49])).
% 18.42/2.71 fof(f3234,plain,(
% 18.42/2.71 spl0_12|spl0_13),
% 18.42/2.71 inference(split_clause,[status(thm)],[f3233,f620,f623])).
% 18.42/2.71 fof(f3235,plain,(
% 18.42/2.71 difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)|member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))|spl0_22),
% 18.42/2.71 inference(resolution,[status(thm)],[f38,f1241])).
% 18.42/2.71 fof(f3236,plain,(
% 18.42/2.71 spl0_16|spl0_11|spl0_22),
% 18.42/2.71 inference(split_clause,[status(thm)],[f3235,f780,f615,f1145])).
% 18.42/2.71 fof(f3237,plain,(
% 18.42/2.71 difference(sk0_3,sk0_4)=difference(sk0_3,intersection(sk0_3,sk0_4))|member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))|spl0_17),
% 18.42/2.71 inference(resolution,[status(thm)],[f38,f919])).
% 18.42/2.71 fof(f3238,plain,(
% 18.42/2.71 spl0_16|spl0_13|spl0_17),
% 18.42/2.71 inference(split_clause,[status(thm)],[f3237,f780,f623,f790])).
% 18.42/2.71 fof(f3294,plain,(
% 18.42/2.71 difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)|member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|spl0_22),
% 18.42/2.71 inference(resolution,[status(thm)],[f38,f1241])).
% 18.42/2.71 fof(f3295,plain,(
% 18.42/2.71 spl0_16|spl0_10|spl0_22),
% 18.42/2.71 inference(split_clause,[status(thm)],[f3294,f780,f612,f1145])).
% 18.42/2.71 fof(f3296,plain,(
% 18.42/2.71 difference(sk0_3,sk0_4)=difference(sk0_3,intersection(sk0_3,sk0_4))|member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_17),
% 18.42/2.71 inference(resolution,[status(thm)],[f38,f919])).
% 18.42/2.71 fof(f3297,plain,(
% 18.42/2.71 spl0_16|spl0_12|spl0_17),
% 18.42/2.71 inference(split_clause,[status(thm)],[f3296,f780,f620,f790])).
% 18.42/2.71 fof(f3867,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(X0,sk0_4))|~spl0_18)),
% 18.42/2.71 inference(resolution,[status(thm)],[f794,f24])).
% 18.42/2.71 fof(f4312,plain,(
% 18.42/2.71 spl0_32 <=> member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f4313,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(sk0_3,sk0_4))|~spl0_32),
% 18.42/2.71 inference(component_clause,[status(thm)],[f4312])).
% 18.42/2.71 fof(f4315,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(sk0_3,sk0_4))|spl0_9),
% 18.42/2.71 inference(resolution,[status(thm)],[f565,f25])).
% 18.42/2.71 fof(f4316,plain,(
% 18.42/2.71 ~spl0_29|spl0_32|spl0_9),
% 18.42/2.71 inference(split_clause,[status(thm)],[f4315,f1576,f4312,f563])).
% 18.42/2.71 fof(f4387,plain,(
% 18.42/2.71 $false|~spl0_8|~spl0_32),
% 18.42/2.71 inference(forward_subsumption_resolution,[status(thm)],[f4313,f1276])).
% 18.42/2.71 fof(f4388,plain,(
% 18.42/2.71 ~spl0_8|~spl0_32),
% 18.42/2.71 inference(contradiction_clause,[status(thm)],[f4387])).
% 18.42/2.71 fof(f4391,plain,(
% 18.42/2.71 spl0_33 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),intersection(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f4394,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),intersection(sk0_3,sk0_4))|spl0_6),
% 18.42/2.71 inference(resolution,[status(thm)],[f554,f25])).
% 18.42/2.71 fof(f4395,plain,(
% 18.42/2.71 ~spl0_30|spl0_33|spl0_6),
% 18.42/2.71 inference(split_clause,[status(thm)],[f4394,f1621,f4391,f552])).
% 18.42/2.71 fof(f4477,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,X0))|spl0_30)),
% 18.42/2.71 inference(resolution,[status(thm)],[f1623,f23])).
% 18.42/2.71 fof(f4520,plain,(
% 18.42/2.71 difference(sk0_3,sk0_4)=difference(sk0_3,intersection(sk0_3,sk0_4))|member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_3,intersection(sk0_3,sk0_4)))|~spl0_18),
% 18.42/2.71 inference(resolution,[status(thm)],[f3867,f38])).
% 18.42/2.71 fof(f4521,plain,(
% 18.42/2.71 spl0_16|spl0_13|~spl0_18),
% 18.42/2.71 inference(split_clause,[status(thm)],[f4520,f780,f623,f793])).
% 18.42/2.71 fof(f4702,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)|spl0_30),
% 18.42/2.71 inference(resolution,[status(thm)],[f4477,f14])).
% 18.42/2.71 fof(f4703,plain,(
% 18.42/2.71 spl0_6|spl0_16|spl0_30),
% 18.42/2.71 inference(split_clause,[status(thm)],[f4702,f552,f780,f1621])).
% 18.42/2.71 fof(f4704,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,sk0_4))|difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)|spl0_30),
% 18.42/2.71 inference(resolution,[status(thm)],[f4477,f14])).
% 18.42/2.71 fof(f4705,plain,(
% 18.42/2.71 spl0_7|spl0_16|spl0_30),
% 18.42/2.71 inference(split_clause,[status(thm)],[f4704,f555,f780,f1621])).
% 18.42/2.71 fof(f4794,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(X0,sk0_4))|~spl0_31)),
% 18.42/2.71 inference(resolution,[status(thm)],[f1625,f24])).
% 18.42/2.71 fof(f4909,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_3,intersection(sk0_3,sk0_4)))|difference(sk0_3,intersection(sk0_3,sk0_4))=difference(sk0_3,sk0_4)|~spl0_31),
% 18.42/2.71 inference(resolution,[status(thm)],[f4794,f14])).
% 18.42/2.71 fof(f4910,plain,(
% 18.42/2.71 spl0_6|spl0_16|~spl0_31),
% 18.42/2.71 inference(split_clause,[status(thm)],[f4909,f552,f780,f1624])).
% 18.42/2.71 fof(f5034,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(X0,sk0_3))|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f683,f90])).
% 18.42/2.71 fof(f5037,plain,(
% 18.42/2.71 ~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|spl0_1),
% 18.42/2.71 inference(resolution,[status(thm)],[f683,f24])).
% 18.42/2.71 fof(f5038,plain,(
% 18.42/2.71 member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|spl0_1),
% 18.42/2.71 inference(resolution,[status(thm)],[f683,f23])).
% 18.42/2.71 fof(f5128,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(X0,sk0_4))|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5037,f19])).
% 18.42/2.71 fof(f5129,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(sk0_4,X0))|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5037,f18])).
% 18.42/2.71 fof(f5240,plain,(
% 18.42/2.71 spl0_36 <=> ~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f5241,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|~spl0_36)),
% 18.42/2.71 inference(component_clause,[status(thm)],[f5240])).
% 18.42/2.71 fof(f5243,plain,(
% 18.42/2.71 spl0_37 <=> member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f5246,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5034,f25])).
% 18.42/2.71 fof(f5247,plain,(
% 18.42/2.71 spl0_36|spl0_37|spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f5246,f5240,f5243,f268])).
% 18.42/2.71 fof(f5306,plain,(
% 18.42/2.71 $false|~spl0_36|spl0_1),
% 18.42/2.71 inference(backward_subsumption_resolution,[status(thm)],[f5038,f5241])).
% 18.42/2.71 fof(f5307,plain,(
% 18.42/2.71 ~spl0_36|spl0_1),
% 18.42/2.71 inference(contradiction_clause,[status(thm)],[f5306])).
% 18.42/2.71 fof(f5454,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),difference(sk0_4,X0))|~spl0_11)),
% 18.42/2.71 inference(resolution,[status(thm)],[f616,f90])).
% 18.42/2.71 fof(f7991,plain,(
% 18.42/2.71 spl0_38 <=> member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f8159,plain,(
% 18.42/2.71 ![X0,X1]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X1)|~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5128,f71])).
% 18.42/2.71 fof(f8160,plain,(
% 18.42/2.71 spl0_36|~spl0_38|spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8159,f5240,f7991,f268])).
% 18.42/2.71 fof(f8161,plain,(
% 18.42/2.71 spl0_40 <=> ~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_4,X1))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f8164,plain,(
% 18.42/2.71 ![X0,X1]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),difference(sk0_4,X1))|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5128,f81])).
% 18.42/2.71 fof(f8165,plain,(
% 18.42/2.71 spl0_36|spl0_40|spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8164,f5240,f8161,f268])).
% 18.42/2.71 fof(f8247,plain,(
% 18.42/2.71 spl0_43 <=> ~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(sk0_4,X1))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f8250,plain,(
% 18.42/2.71 ![X0,X1]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(sk0_4,X1))|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5129,f79])).
% 18.42/2.71 fof(f8251,plain,(
% 18.42/2.71 spl0_36|spl0_43|spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8250,f5240,f8247,f268])).
% 18.42/2.71 fof(f8252,plain,(
% 18.42/2.71 spl0_44 <=> ~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(X1,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f8255,plain,(
% 18.42/2.71 ![X0,X1]: (~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),X0)|~member(sk0_2(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),intersection(X1,sk0_4))|spl0_1)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5129,f77])).
% 18.42/2.71 fof(f8256,plain,(
% 18.42/2.71 spl0_36|spl0_44|spl0_1),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8255,f5240,f8252,f268])).
% 18.42/2.71 fof(f8384,plain,(
% 18.42/2.71 spl0_45 <=> member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f8387,plain,(
% 18.42/2.71 ![X0]: (~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),X0)|~spl0_11)),
% 18.42/2.71 inference(resolution,[status(thm)],[f5454,f25])).
% 18.42/2.71 fof(f8388,plain,(
% 18.42/2.71 ~spl0_45|spl0_24|~spl0_11),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8387,f8384,f1325,f615])).
% 18.42/2.71 fof(f8449,plain,(
% 18.42/2.71 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|spl0_8),
% 18.42/2.71 inference(resolution,[status(thm)],[f562,f25])).
% 18.42/2.71 fof(f8450,plain,(
% 18.42/2.71 ~spl0_29|spl0_26|spl0_8),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8449,f1576,f1449,f560])).
% 18.42/2.71 fof(f8524,plain,(
% 18.42/2.71 member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|~spl0_9),
% 18.42/2.71 inference(resolution,[status(thm)],[f564,f23])).
% 18.42/2.71 fof(f8525,plain,(
% 18.42/2.71 spl0_29|~spl0_9),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8524,f1576,f563])).
% 18.42/2.71 fof(f8893,plain,(
% 18.42/2.71 spl0_46 <=> subset(sk0_4,difference(sk0_3,sk0_4))),
% 18.42/2.71 introduced(split_symbol_definition)).
% 18.42/2.71 fof(f8896,plain,(
% 18.42/2.71 ~subset(sk0_4,difference(sk0_3,sk0_4))|difference(sk0_3,sk0_4)=difference(sk0_3,intersection(sk0_3,sk0_4))|~subset(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4)))|~spl0_15),
% 18.42/2.71 inference(resolution,[status(thm)],[f854,f293])).
% 18.42/2.71 fof(f8897,plain,(
% 18.42/2.71 ~spl0_46|spl0_16|~spl0_1|~spl0_15),
% 18.42/2.71 inference(split_clause,[status(thm)],[f8896,f8893,f780,f268,f703])).
% 18.42/2.71 fof(f9883,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|~member(sk0_1(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|~spl0_10),
% 18.42/2.71 inference(resolution,[status(thm)],[f89,f613])).
% 18.42/2.71 fof(f9884,plain,(
% 18.42/2.71 ~spl0_22|~spl0_45|~spl0_10),
% 18.42/2.71 inference(split_clause,[status(thm)],[f9883,f1145,f8384,f612])).
% 18.42/2.71 fof(f9885,plain,(
% 18.42/2.71 ~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|~member(sk0_1(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|~spl0_13),
% 18.42/2.72 inference(resolution,[status(thm)],[f89,f624])).
% 18.42/2.72 fof(f9886,plain,(
% 18.42/2.72 ~spl0_17|~spl0_18|~spl0_13),
% 18.42/2.72 inference(split_clause,[status(thm)],[f9885,f790,f793,f623])).
% 18.42/2.72 fof(f9889,plain,(
% 18.42/2.72 ~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_3)|~member(sk0_0(difference(sk0_3,intersection(sk0_3,sk0_4)),difference(sk0_3,sk0_4)),sk0_4)|~spl0_9),
% 18.42/2.72 inference(resolution,[status(thm)],[f89,f564])).
% 18.42/2.72 fof(f9890,plain,(
% 18.42/2.72 ~spl0_29|~spl0_26|~spl0_9),
% 18.42/2.72 inference(split_clause,[status(thm)],[f9889,f1576,f1449,f563])).
% 18.42/2.72 fof(f9891,plain,(
% 18.42/2.72 ~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_3)|~member(sk0_0(difference(sk0_3,sk0_4),difference(sk0_3,intersection(sk0_3,sk0_4))),sk0_4)|~spl0_6),
% 18.42/2.72 inference(resolution,[status(thm)],[f89,f553])).
% 18.42/2.72 fof(f9892,plain,(
% 18.42/2.72 ~spl0_30|~spl0_31|~spl0_6),
% 18.42/2.72 inference(split_clause,[status(thm)],[f9891,f1621,f1624,f552])).
% 18.42/2.72 fof(f10066,plain,(
% 18.42/2.72 $false),
% 18.42/2.72 inference(sat_refutation,[status(thm)],[f272,f369,f394,f567,f605,f607,f619,f627,f707,f787,f789,f797,f1152,f1580,f1618,f1628,f3232,f3234,f3236,f3238,f3295,f3297,f4316,f4388,f4395,f4521,f4703,f4705,f4910,f5247,f5307,f8160,f8165,f8251,f8256,f8388,f8450,f8525,f8897,f9884,f9886,f9890,f9892])).
% 18.42/2.72 % SZS output end CNFRefutation for theBenchmark.p
% 18.42/2.73 % Elapsed time: 2.373371 seconds
% 18.42/2.73 % CPU time: 18.713220 seconds
% 18.42/2.73 % Total memory used: 236.506 MB
% 18.42/2.73 % Net memory used: 232.959 MB
%------------------------------------------------------------------------------