TSTP Solution File: SET610+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET610+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:34:48 EDT 2023
% Result : Theorem 22.16s 3.24s
% Output : CNFRefutation 22.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET610+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:44:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 22.16/3.24 % Refutation found
% 22.16/3.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 22.16/3.24 % SZS output start CNFRefutation for theBenchmark
% 22.16/3.24 fof(f1,axiom,(
% 22.16/3.24 (! [B,C] :( (! [D] :( member(D,B)<=> member(D,C) ))=> B = C ) )),
% 22.16/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.24 fof(f2,axiom,(
% 22.16/3.24 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 22.16/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.24 fof(f3,axiom,(
% 22.16/3.24 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 22.16/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.24 fof(f6,axiom,(
% 22.16/3.24 (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 22.16/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.24 fof(f9,conjecture,(
% 22.16/3.24 (! [B,C] : difference(union(B,C),C) = difference(B,C) )),
% 22.16/3.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.16/3.24 fof(f10,negated_conjecture,(
% 22.16/3.24 ~((! [B,C] : difference(union(B,C),C) = difference(B,C) ))),
% 22.16/3.24 inference(negated_conjecture,[status(cth)],[f9])).
% 22.16/3.24 fof(f11,plain,(
% 22.16/3.24 ![B,C]: ((?[D]: (member(D,B)<~>member(D,C)))|B=C)),
% 22.16/3.24 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 22.16/3.24 fof(f12,plain,(
% 22.16/3.24 ![B,C]: ((?[D]: ((member(D,B)|member(D,C))&(~member(D,B)|~member(D,C))))|B=C)),
% 22.16/3.24 inference(NNF_transformation,[status(esa)],[f11])).
% 22.16/3.24 fof(f13,plain,(
% 22.16/3.24 ![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)),
% 22.16/3.24 inference(skolemization,[status(esa)],[f12])).
% 22.16/3.24 fof(f14,plain,(
% 22.16/3.24 ![X0,X1]: (member(sk0_0(X0,X1),X1)|member(sk0_0(X0,X1),X0)|X1=X0)),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f13])).
% 22.16/3.24 fof(f15,plain,(
% 22.16/3.24 ![X0,X1]: (~member(sk0_0(X0,X1),X1)|~member(sk0_0(X0,X1),X0)|X1=X0)),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f13])).
% 22.16/3.24 fof(f16,plain,(
% 22.16/3.24 ![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))))),
% 22.16/3.24 inference(NNF_transformation,[status(esa)],[f2])).
% 22.16/3.24 fof(f17,plain,(
% 22.16/3.24 (![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))))),
% 22.16/3.24 inference(miniscoping,[status(esa)],[f16])).
% 22.16/3.24 fof(f18,plain,(
% 22.16/3.24 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f17])).
% 22.16/3.24 fof(f19,plain,(
% 22.16/3.24 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f17])).
% 22.16/3.24 fof(f20,plain,(
% 22.16/3.24 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f17])).
% 22.16/3.24 fof(f21,plain,(
% 22.16/3.24 ![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))))),
% 22.16/3.24 inference(NNF_transformation,[status(esa)],[f3])).
% 22.16/3.24 fof(f22,plain,(
% 22.16/3.24 (![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))))),
% 22.16/3.24 inference(miniscoping,[status(esa)],[f21])).
% 22.16/3.24 fof(f23,plain,(
% 22.16/3.24 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f22])).
% 22.16/3.24 fof(f24,plain,(
% 22.16/3.24 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f22])).
% 22.16/3.24 fof(f25,plain,(
% 22.16/3.24 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f22])).
% 22.16/3.24 fof(f32,plain,(
% 22.16/3.24 ![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))))))),
% 22.16/3.24 inference(NNF_transformation,[status(esa)],[f6])).
% 22.16/3.24 fof(f33,plain,(
% 22.16/3.24 (![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))))))),
% 22.16/3.24 inference(miniscoping,[status(esa)],[f32])).
% 22.16/3.24 fof(f34,plain,(
% 22.16/3.24 (![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)))))),
% 22.16/3.24 inference(skolemization,[status(esa)],[f33])).
% 22.16/3.24 fof(f37,plain,(
% 22.16/3.24 ![X0,X1]: (X0=X1|~member(sk0_1(X1,X0),X0)|~member(sk0_1(X1,X0),X1))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f34])).
% 22.16/3.24 fof(f38,plain,(
% 22.16/3.24 ![X0,X1]: (X0=X1|member(sk0_1(X1,X0),X0)|member(sk0_1(X1,X0),X1))),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f34])).
% 22.16/3.24 fof(f47,plain,(
% 22.16/3.24 (?[B,C]: ~difference(union(B,C),C)=difference(B,C))),
% 22.16/3.24 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 22.16/3.24 fof(f48,plain,(
% 22.16/3.24 ~difference(union(sk0_3,sk0_4),sk0_4)=difference(sk0_3,sk0_4)),
% 22.16/3.24 inference(skolemization,[status(esa)],[f47])).
% 22.16/3.24 fof(f49,plain,(
% 22.16/3.24 ~difference(union(sk0_3,sk0_4),sk0_4)=difference(sk0_3,sk0_4)),
% 22.16/3.24 inference(cnf_transformation,[status(esa)],[f48])).
% 22.16/3.24 fof(f62,plain,(
% 22.16/3.24 ![X0,X1,X2,X3]: (member(X0,X1)|~member(X0,difference(difference(X1,X2),X3)))),
% 22.16/3.24 inference(resolution,[status(thm)],[f23,f23])).
% 22.16/3.24 fof(f70,plain,(
% 22.16/3.24 ![X0,X1,X2,X3]: (member(X0,X1)|member(X0,X2)|~member(X0,difference(union(X1,X2),X3)))),
% 22.16/3.24 inference(resolution,[status(thm)],[f18,f23])).
% 22.16/3.24 fof(f363,plain,(
% 22.16/3.24 spl0_6 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))),
% 22.16/3.24 introduced(split_symbol_definition)).
% 22.16/3.24 fof(f364,plain,(
% 22.16/3.24 member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|~spl0_6),
% 22.16/3.24 inference(component_clause,[status(thm)],[f363])).
% 22.16/3.24 fof(f365,plain,(
% 22.16/3.24 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|spl0_6),
% 22.16/3.24 inference(component_clause,[status(thm)],[f363])).
% 22.16/3.24 fof(f366,plain,(
% 22.16/3.24 spl0_7 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))),
% 22.16/3.24 introduced(split_symbol_definition)).
% 22.16/3.24 fof(f367,plain,(
% 22.16/3.24 member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))|~spl0_7),
% 22.16/3.24 inference(component_clause,[status(thm)],[f366])).
% 22.16/3.24 fof(f368,plain,(
% 22.16/3.24 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))|spl0_7),
% 22.16/3.24 inference(component_clause,[status(thm)],[f366])).
% 22.16/3.24 fof(f369,plain,(
% 22.16/3.24 member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))),
% 22.16/3.24 inference(resolution,[status(thm)],[f14,f49])).
% 22.16/3.24 fof(f370,plain,(
% 22.16/3.24 spl0_6|spl0_7),
% 22.16/3.24 inference(split_clause,[status(thm)],[f369,f363,f366])).
% 22.16/3.24 fof(f371,plain,(
% 22.16/3.24 spl0_8 <=> member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))),
% 22.16/3.24 introduced(split_symbol_definition)).
% 22.16/3.24 fof(f372,plain,(
% 22.16/3.24 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~spl0_8),
% 22.16/3.24 inference(component_clause,[status(thm)],[f371])).
% 22.16/3.24 fof(f373,plain,(
% 22.16/3.24 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_8),
% 22.16/3.24 inference(component_clause,[status(thm)],[f371])).
% 22.16/3.24 fof(f374,plain,(
% 22.16/3.24 spl0_9 <=> member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f375,plain,(
% 22.16/3.25 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|~spl0_9),
% 22.16/3.25 inference(component_clause,[status(thm)],[f374])).
% 22.16/3.25 fof(f376,plain,(
% 22.16/3.25 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|spl0_9),
% 22.16/3.25 inference(component_clause,[status(thm)],[f374])).
% 22.16/3.25 fof(f377,plain,(
% 22.16/3.25 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))),
% 22.16/3.25 inference(resolution,[status(thm)],[f14,f49])).
% 22.16/3.25 fof(f378,plain,(
% 22.16/3.25 spl0_8|spl0_9),
% 22.16/3.25 inference(split_clause,[status(thm)],[f377,f371,f374])).
% 22.16/3.25 fof(f391,plain,(
% 22.16/3.25 ![X0,X1,X2,X3]: (~member(sk0_0(X0,X1),X0)|X1=X0|~member(sk0_0(X0,X1),difference(difference(X1,X2),X3)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f15,f62])).
% 22.16/3.25 fof(f394,plain,(
% 22.16/3.25 ![X0,X1,X2]: (~member(sk0_0(X0,X1),X0)|X1=X0|~member(sk0_0(X0,X1),difference(X1,X2)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f15,f23])).
% 22.16/3.25 fof(f404,plain,(
% 22.16/3.25 ![X0,X1]: (~member(sk0_0(X0,X1),X1)|X1=X0|~member(sk0_0(X0,X1),union(X0,X0)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f15,f18])).
% 22.16/3.25 fof(f409,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))),
% 22.16/3.25 inference(resolution,[status(thm)],[f15,f49])).
% 22.16/3.25 fof(f410,plain,(
% 22.16/3.25 ~spl0_6|~spl0_7),
% 22.16/3.25 inference(split_clause,[status(thm)],[f409,f363,f366])).
% 22.16/3.25 fof(f411,plain,(
% 22.16/3.25 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))),
% 22.16/3.25 inference(resolution,[status(thm)],[f15,f49])).
% 22.16/3.25 fof(f412,plain,(
% 22.16/3.25 ~spl0_8|~spl0_9),
% 22.16/3.25 inference(split_clause,[status(thm)],[f411,f371,f374])).
% 22.16/3.25 fof(f425,plain,(
% 22.16/3.25 spl0_12 <=> member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f427,plain,(
% 22.16/3.25 ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|spl0_12),
% 22.16/3.25 inference(component_clause,[status(thm)],[f425])).
% 22.16/3.25 fof(f428,plain,(
% 22.16/3.25 spl0_13 <=> member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f429,plain,(
% 22.16/3.25 member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|~spl0_13),
% 22.16/3.25 inference(component_clause,[status(thm)],[f428])).
% 22.16/3.25 fof(f430,plain,(
% 22.16/3.25 ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|spl0_13),
% 22.16/3.25 inference(component_clause,[status(thm)],[f428])).
% 22.16/3.25 fof(f431,plain,(
% 22.16/3.25 ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))),
% 22.16/3.25 inference(resolution,[status(thm)],[f37,f49])).
% 22.16/3.25 fof(f432,plain,(
% 22.16/3.25 ~spl0_12|~spl0_13),
% 22.16/3.25 inference(split_clause,[status(thm)],[f431,f425,f428])).
% 22.16/3.25 fof(f458,plain,(
% 22.16/3.25 ![X0,X1,X2]: (X0=X1|~member(sk0_1(X1,X0),X0)|~member(sk0_1(X1,X0),difference(X1,X2)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f37,f23])).
% 22.16/3.25 fof(f505,plain,(
% 22.16/3.25 spl0_14 <=> member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f507,plain,(
% 22.16/3.25 ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|spl0_14),
% 22.16/3.25 inference(component_clause,[status(thm)],[f505])).
% 22.16/3.25 fof(f508,plain,(
% 22.16/3.25 spl0_15 <=> member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f509,plain,(
% 22.16/3.25 member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|~spl0_15),
% 22.16/3.25 inference(component_clause,[status(thm)],[f508])).
% 22.16/3.25 fof(f511,plain,(
% 22.16/3.25 ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|spl0_12),
% 22.16/3.25 inference(resolution,[status(thm)],[f427,f25])).
% 22.16/3.25 fof(f512,plain,(
% 22.16/3.25 ~spl0_14|spl0_15|spl0_12),
% 22.16/3.25 inference(split_clause,[status(thm)],[f511,f505,f508,f425])).
% 22.16/3.25 fof(f550,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,X0))|spl0_14)),
% 22.16/3.25 inference(resolution,[status(thm)],[f507,f23])).
% 22.16/3.25 fof(f648,plain,(
% 22.16/3.25 spl0_19 <=> difference(sk0_3,sk0_4)=difference(union(sk0_3,sk0_4),sk0_4)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f649,plain,(
% 22.16/3.25 difference(sk0_3,sk0_4)=difference(union(sk0_3,sk0_4),sk0_4)|~spl0_19),
% 22.16/3.25 inference(component_clause,[status(thm)],[f648])).
% 22.16/3.25 fof(f653,plain,(
% 22.16/3.25 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|~spl0_8),
% 22.16/3.25 inference(resolution,[status(thm)],[f372,f24])).
% 22.16/3.25 fof(f654,plain,(
% 22.16/3.25 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|~spl0_8),
% 22.16/3.25 inference(resolution,[status(thm)],[f372,f23])).
% 22.16/3.25 fof(f719,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(X0,sk0_3))|~spl0_8)),
% 22.16/3.25 inference(resolution,[status(thm)],[f654,f24])).
% 22.16/3.25 fof(f742,plain,(
% 22.16/3.25 spl0_20 <=> member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f743,plain,(
% 22.16/3.25 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|~spl0_20),
% 22.16/3.25 inference(component_clause,[status(thm)],[f742])).
% 22.16/3.25 fof(f779,plain,(
% 22.16/3.25 spl0_22 <=> ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),X0)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f780,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),X0)|~spl0_22)),
% 22.16/3.25 inference(component_clause,[status(thm)],[f779])).
% 22.16/3.25 fof(f782,plain,(
% 22.16/3.25 spl0_23 <=> member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f783,plain,(
% 22.16/3.25 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|~spl0_23),
% 22.16/3.25 inference(component_clause,[status(thm)],[f782])).
% 22.16/3.25 fof(f785,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),X0)|member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|~spl0_8)),
% 22.16/3.25 inference(resolution,[status(thm)],[f719,f25])).
% 22.16/3.25 fof(f786,plain,(
% 22.16/3.25 spl0_22|spl0_23|~spl0_8),
% 22.16/3.25 inference(split_clause,[status(thm)],[f785,f779,f782,f371])).
% 22.16/3.25 fof(f816,plain,(
% 22.16/3.25 $false|~spl0_22|~spl0_8),
% 22.16/3.25 inference(backward_subsumption_resolution,[status(thm)],[f654,f780])).
% 22.16/3.25 fof(f817,plain,(
% 22.16/3.25 ~spl0_22|~spl0_8),
% 22.16/3.25 inference(contradiction_clause,[status(thm)],[f816])).
% 22.16/3.25 fof(f883,plain,(
% 22.16/3.25 ![X0]: (member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),union(sk0_3,X0))|~spl0_23)),
% 22.16/3.25 inference(resolution,[status(thm)],[f783,f19])).
% 22.16/3.25 fof(f906,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_4)|~spl0_6),
% 22.16/3.25 inference(resolution,[status(thm)],[f364,f24])).
% 22.16/3.25 fof(f946,plain,(
% 22.16/3.25 spl0_24 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_3)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f948,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_3)|spl0_24),
% 22.16/3.25 inference(component_clause,[status(thm)],[f946])).
% 22.16/3.25 fof(f949,plain,(
% 22.16/3.25 spl0_25 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_4)),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f950,plain,(
% 22.16/3.25 member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_4)|~spl0_25),
% 22.16/3.25 inference(component_clause,[status(thm)],[f949])).
% 22.16/3.25 fof(f952,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_3)|member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_4)|spl0_7),
% 22.16/3.25 inference(resolution,[status(thm)],[f368,f25])).
% 22.16/3.25 fof(f953,plain,(
% 22.16/3.25 ~spl0_24|spl0_25|spl0_7),
% 22.16/3.25 inference(split_clause,[status(thm)],[f952,f946,f949,f366])).
% 22.16/3.25 fof(f991,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,X0))|spl0_24)),
% 22.16/3.25 inference(resolution,[status(thm)],[f948,f23])).
% 22.16/3.25 fof(f1111,plain,(
% 22.16/3.25 member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|difference(union(sk0_3,sk0_4),sk0_4)=difference(sk0_3,sk0_4)|spl0_24),
% 22.16/3.25 inference(resolution,[status(thm)],[f991,f14])).
% 22.16/3.25 fof(f1112,plain,(
% 22.16/3.25 spl0_6|spl0_19|spl0_24),
% 22.16/3.25 inference(split_clause,[status(thm)],[f1111,f363,f648,f946])).
% 22.16/3.25 fof(f1175,plain,(
% 22.16/3.25 $false|~spl0_25|~spl0_6),
% 22.16/3.25 inference(forward_subsumption_resolution,[status(thm)],[f906,f950])).
% 22.16/3.25 fof(f1176,plain,(
% 22.16/3.25 ~spl0_25|~spl0_6),
% 22.16/3.25 inference(contradiction_clause,[status(thm)],[f1175])).
% 22.16/3.25 fof(f1177,plain,(
% 22.16/3.25 $false|~spl0_19),
% 22.16/3.25 inference(forward_subsumption_resolution,[status(thm)],[f649,f49])).
% 22.16/3.25 fof(f1178,plain,(
% 22.16/3.25 ~spl0_19),
% 22.16/3.25 inference(contradiction_clause,[status(thm)],[f1177])).
% 22.16/3.25 fof(f1233,plain,(
% 22.16/3.25 spl0_27 <=> member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),union(sk0_3,sk0_4))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f1236,plain,(
% 22.16/3.25 ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),union(sk0_3,sk0_4))|member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|spl0_13),
% 22.16/3.25 inference(resolution,[status(thm)],[f430,f25])).
% 22.16/3.25 fof(f1237,plain,(
% 22.16/3.25 ~spl0_27|spl0_15|spl0_13),
% 22.16/3.25 inference(split_clause,[status(thm)],[f1236,f1233,f508,f428])).
% 22.16/3.25 fof(f1365,plain,(
% 22.16/3.25 spl0_29 <=> ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(difference(union(sk0_3,sk0_4),sk0_4),X0))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f1368,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(difference(union(sk0_3,sk0_4),sk0_4),X0)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f394,f49])).
% 22.16/3.25 fof(f1369,plain,(
% 22.16/3.25 ~spl0_7|spl0_29),
% 22.16/3.25 inference(split_clause,[status(thm)],[f1368,f366,f1365])).
% 22.16/3.25 fof(f1409,plain,(
% 22.16/3.25 ![X0]: (union(X0,X0)=X0|~member(sk0_0(X0,union(X0,X0)),X0))),
% 22.16/3.25 inference(resolution,[status(thm)],[f404,f20])).
% 22.16/3.25 fof(f1423,plain,(
% 22.16/3.25 spl0_32 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),union(difference(sk0_3,sk0_4),difference(sk0_3,sk0_4)))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f1425,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),union(difference(sk0_3,sk0_4),difference(sk0_3,sk0_4)))|spl0_32),
% 22.16/3.25 inference(component_clause,[status(thm)],[f1423])).
% 22.16/3.25 fof(f1463,plain,(
% 22.16/3.25 ![X0]: (union(X0,X0)=X0|~member(sk0_0(X0,union(X0,X0)),union(X0,X0)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f1409,f18])).
% 22.16/3.25 fof(f1474,plain,(
% 22.16/3.25 ![X0]: (union(X0,X0)=X0|member(sk0_0(X0,union(X0,X0)),X0)|union(X0,X0)=X0)),
% 22.16/3.25 inference(resolution,[status(thm)],[f1463,f14])).
% 22.16/3.25 fof(f1475,plain,(
% 22.16/3.25 ![X0]: (union(X0,X0)=X0|member(sk0_0(X0,union(X0,X0)),X0))),
% 22.16/3.25 inference(duplicate_literals_removal,[status(esa)],[f1474])).
% 22.16/3.25 fof(f1476,plain,(
% 22.16/3.25 ![X0]: (union(X0,X0)=X0)),
% 22.16/3.25 inference(forward_subsumption_resolution,[status(thm)],[f1475,f1409])).
% 22.16/3.25 fof(f1727,plain,(
% 22.16/3.25 spl0_38 <=> ~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(difference(union(sk0_3,sk0_4),sk0_4),X0))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f1730,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(difference(union(sk0_3,sk0_4),sk0_4),X0)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f458,f49])).
% 22.16/3.25 fof(f1731,plain,(
% 22.16/3.25 ~spl0_12|spl0_38),
% 22.16/3.25 inference(split_clause,[status(thm)],[f1730,f425,f1727])).
% 22.16/3.25 fof(f1856,plain,(
% 22.16/3.25 spl0_39 <=> ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(difference(difference(union(sk0_3,sk0_4),sk0_4),X0),X1))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f1859,plain,(
% 22.16/3.25 ![X0,X1]: (~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))|~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(difference(difference(union(sk0_3,sk0_4),sk0_4),X0),X1)))),
% 22.16/3.25 inference(resolution,[status(thm)],[f391,f49])).
% 22.16/3.25 fof(f1860,plain,(
% 22.16/3.25 ~spl0_7|spl0_39),
% 22.16/3.25 inference(split_clause,[status(thm)],[f1859,f366,f1856])).
% 22.16/3.25 fof(f1905,plain,(
% 22.16/3.25 difference(sk0_3,sk0_4)=difference(union(sk0_3,sk0_4),sk0_4)|member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|spl0_14),
% 22.16/3.25 inference(resolution,[status(thm)],[f38,f550])).
% 22.16/3.25 fof(f1906,plain,(
% 22.16/3.25 spl0_19|spl0_13|spl0_14),
% 22.16/3.25 inference(split_clause,[status(thm)],[f1905,f648,f428,f505])).
% 22.16/3.25 fof(f2129,plain,(
% 22.16/3.25 ![X0]: (~member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(X0,sk0_4))|~spl0_15)),
% 22.16/3.25 inference(resolution,[status(thm)],[f509,f24])).
% 22.16/3.25 fof(f2286,plain,(
% 22.16/3.25 difference(sk0_3,sk0_4)=difference(union(sk0_3,sk0_4),sk0_4)|member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(sk0_3,sk0_4))|~spl0_15),
% 22.16/3.25 inference(resolution,[status(thm)],[f2129,f38])).
% 22.16/3.25 fof(f2287,plain,(
% 22.16/3.25 spl0_19|spl0_12|~spl0_15),
% 22.16/3.25 inference(split_clause,[status(thm)],[f2286,f648,f425,f508])).
% 22.16/3.25 fof(f2288,plain,(
% 22.16/3.25 difference(sk0_3,sk0_4)=difference(union(sk0_3,sk0_4),sk0_4)|member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),difference(union(sk0_3,sk0_4),sk0_4))|~spl0_15),
% 22.16/3.25 inference(resolution,[status(thm)],[f2129,f38])).
% 22.16/3.25 fof(f2289,plain,(
% 22.16/3.25 spl0_19|spl0_13|~spl0_15),
% 22.16/3.25 inference(split_clause,[status(thm)],[f2288,f648,f428,f508])).
% 22.16/3.25 fof(f2647,plain,(
% 22.16/3.25 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|~spl0_9),
% 22.16/3.25 inference(resolution,[status(thm)],[f375,f24])).
% 22.16/3.25 fof(f5079,plain,(
% 22.16/3.25 member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_1(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|~spl0_13),
% 22.16/3.25 inference(resolution,[status(thm)],[f70,f429])).
% 22.16/3.25 fof(f5080,plain,(
% 22.16/3.25 spl0_14|spl0_15|~spl0_13),
% 22.16/3.25 inference(split_clause,[status(thm)],[f5079,f505,f508,f428])).
% 22.16/3.25 fof(f5083,plain,(
% 22.16/3.25 member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_3)|member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_4)|~spl0_6),
% 22.16/3.25 inference(resolution,[status(thm)],[f70,f364])).
% 22.16/3.25 fof(f5084,plain,(
% 22.16/3.25 spl0_24|spl0_25|~spl0_6),
% 22.16/3.25 inference(split_clause,[status(thm)],[f5083,f946,f949,f363])).
% 22.16/3.25 fof(f5696,plain,(
% 22.16/3.25 spl0_42 <=> member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),union(sk0_3,sk0_4))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f5698,plain,(
% 22.16/3.25 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),union(sk0_3,sk0_4))|spl0_42),
% 22.16/3.25 inference(component_clause,[status(thm)],[f5696])).
% 22.16/3.25 fof(f5699,plain,(
% 22.16/3.25 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),union(sk0_3,sk0_4))|member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|spl0_9),
% 22.16/3.25 inference(resolution,[status(thm)],[f376,f25])).
% 22.16/3.25 fof(f5700,plain,(
% 22.16/3.25 ~spl0_42|spl0_20|spl0_9),
% 22.16/3.25 inference(split_clause,[status(thm)],[f5699,f5696,f742,f374])).
% 22.16/3.25 fof(f5800,plain,(
% 22.16/3.25 $false|~spl0_23|spl0_42),
% 22.16/3.25 inference(forward_subsumption_resolution,[status(thm)],[f5698,f883])).
% 22.16/3.25 fof(f5801,plain,(
% 22.16/3.25 ~spl0_23|spl0_42),
% 22.16/3.25 inference(contradiction_clause,[status(thm)],[f5800])).
% 22.16/3.25 fof(f5802,plain,(
% 22.16/3.25 ~spl0_20|~spl0_8),
% 22.16/3.25 inference(split_clause,[status(thm)],[f653,f742,f371])).
% 22.16/3.25 fof(f6504,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),difference(sk0_3,sk0_4))|spl0_32),
% 22.16/3.25 inference(forward_demodulation,[status(thm)],[f1476,f1425])).
% 22.16/3.25 fof(f6505,plain,(
% 22.16/3.25 $false|~spl0_7|spl0_32),
% 22.16/3.25 inference(forward_subsumption_resolution,[status(thm)],[f6504,f367])).
% 22.16/3.25 fof(f6506,plain,(
% 22.16/3.25 ~spl0_7|spl0_32),
% 22.16/3.25 inference(contradiction_clause,[status(thm)],[f6505])).
% 22.16/3.25 fof(f6698,plain,(
% 22.16/3.25 spl0_47 <=> member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),union(sk0_3,sk0_4))),
% 22.16/3.25 introduced(split_symbol_definition)).
% 22.16/3.25 fof(f6701,plain,(
% 22.16/3.25 ~member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),union(sk0_3,sk0_4))|member(sk0_0(difference(sk0_3,sk0_4),difference(union(sk0_3,sk0_4),sk0_4)),sk0_4)|spl0_6),
% 22.16/3.25 inference(resolution,[status(thm)],[f365,f25])).
% 22.16/3.25 fof(f6702,plain,(
% 22.16/3.25 ~spl0_47|spl0_25|spl0_6),
% 22.16/3.25 inference(split_clause,[status(thm)],[f6701,f6698,f949,f363])).
% 22.16/3.25 fof(f8272,plain,(
% 22.16/3.25 member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|~spl0_9),
% 22.16/3.25 inference(resolution,[status(thm)],[f375,f70])).
% 22.16/3.25 fof(f8273,plain,(
% 22.16/3.25 spl0_23|spl0_20|~spl0_9),
% 22.16/3.25 inference(split_clause,[status(thm)],[f8272,f782,f742,f374])).
% 22.16/3.26 fof(f8486,plain,(
% 22.16/3.26 ~member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_3)|member(sk0_0(difference(union(sk0_3,sk0_4),sk0_4),difference(sk0_3,sk0_4)),sk0_4)|spl0_8),
% 22.16/3.26 inference(resolution,[status(thm)],[f373,f25])).
% 22.16/3.26 fof(f8487,plain,(
% 22.16/3.26 ~spl0_23|spl0_20|spl0_8),
% 22.16/3.26 inference(split_clause,[status(thm)],[f8486,f782,f742,f371])).
% 22.16/3.26 fof(f8587,plain,(
% 22.16/3.26 $false|~spl0_9|~spl0_20),
% 22.16/3.26 inference(forward_subsumption_resolution,[status(thm)],[f743,f2647])).
% 22.16/3.26 fof(f8588,plain,(
% 22.16/3.26 ~spl0_9|~spl0_20),
% 22.16/3.26 inference(contradiction_clause,[status(thm)],[f8587])).
% 22.16/3.26 fof(f8589,plain,(
% 22.16/3.26 $false),
% 22.16/3.26 inference(sat_refutation,[status(thm)],[f370,f378,f410,f412,f432,f512,f786,f817,f953,f1112,f1176,f1178,f1237,f1369,f1731,f1860,f1906,f2287,f2289,f5080,f5084,f5700,f5801,f5802,f6506,f6702,f8273,f8487,f8588])).
% 22.16/3.26 % SZS output end CNFRefutation for theBenchmark.p
% 22.16/3.29 % Elapsed time: 2.972382 seconds
% 22.16/3.29 % CPU time: 22.796049 seconds
% 22.16/3.29 % Memory used: 201.591 MB
%------------------------------------------------------------------------------