TSTP Solution File: SWC002+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC002+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Wed May 31 12:38:49 EDT 2023
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SWC002+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:37:21 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f96,conjecture,(
% 0.14/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = V& app(Z,X1) = U& (! [X2] :( ssItem(X2)=> ( ~ memberP(V,X2)| ~ geq(X2,Y)| Y = X2 ) ) )) )) )))| (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> (! [X5] :( ssList(X5)=> ( app(app(X4,cons(X3,nil)),X5) != X| app(X4,X5) != W| (? [X6] :( ssItem(X6)& X3 != X6& memberP(X,X6)& geq(X6,X3) ) )) ) )) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f97,negated_conjecture,(
% 0.14/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = V& app(Z,X1) = U& (! [X2] :( ssItem(X2)=> ( ~ memberP(V,X2)| ~ geq(X2,Y)| Y = X2 ) ) )) )) )))| (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> (! [X5] :( ssList(X5)=> ( app(app(X4,cons(X3,nil)),X5) != X| app(X4,X5) != W| (? [X6] :( ssItem(X6)& X3 != X6& memberP(X,X6)& geq(X6,X3) ) )) ) )) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.14/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.36 fof(f415,plain,(
% 0.14/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: (((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(Z,X1)=U)|(?[X2]: (ssItem(X2)&((memberP(V,X2)&geq(X2,Y))&~Y=X2))))))))))&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&(?[X5]: (ssList(X5)&((app(app(X4,cons(X3,nil)),X5)=X&app(X4,X5)=W)&(![X6]: (((~ssItem(X6)|X3=X6)|~memberP(X,X6))|~geq(X6,X3)))))))))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.36 fof(f416,plain,(
% 0.14/0.36 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: (((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(Z,X1)=U)|(?[X2]: (ssItem(X2)&((memberP(V,X2)&geq(X2,Y))&~Y=X2))))))))))&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&(?[X5]: (ssList(X5)&((app(app(X4,cons(X3,nil)),X5)=X&app(X4,X5)=W)&(![X6]: (((~ssItem(X6)|X3=X6)|~memberP(X,X6))|~geq(X6,X3))))))))))))),
% 0.14/0.36 introduced(predicate_definition,[f415])).
% 0.14/0.36 fof(f417,plain,(
% 0.14/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 0.14/0.36 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.36 fof(f418,plain,(
% 0.14/0.36 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((sk0_48=sk0_50&sk0_47=sk0_49)&(pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|(neq(sk0_48,nil)&~neq(sk0_50,nil))))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f417])).
% 0.14/0.36 fof(f423,plain,(
% 0.14/0.36 sk0_48=sk0_50),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.36 fof(f424,plain,(
% 0.14/0.36 sk0_47=sk0_49),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.36 fof(f425,plain,(
% 0.14/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.36 fof(f426,plain,(
% 0.14/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.36 fof(f427,plain,(
% 0.14/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: (((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(Z,X1)=U)|(?[X2]: (ssItem(X2)&((memberP(V,X2)&geq(X2,Y))&~Y=X2))))))))))&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&(?[X5]: (ssList(X5)&((app(app(X4,cons(X3,nil)),X5)=X&app(X4,X5)=W)&(![X6]: (((~ssItem(X6)|X3=X6)|~memberP(X,X6))|~geq(X6,X3))))))))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.14/0.36 fof(f428,plain,(
% 0.14/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|((![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(Z,X1)=U))|(?[X2]: (ssItem(X2)&((memberP(V,X2)&geq(X2,Y))&~Y=X2)))))))))&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&(?[X5]: (ssList(X5)&((app(app(X4,cons(X3,nil)),X5)=X&app(X4,X5)=W)&(![X6]: (((~ssItem(X6)|X3=X6)|~memberP(X,X6))|~geq(X6,X3))))))))))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f427])).
% 0.14/0.36 fof(f429,plain,(
% 0.14/0.36 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|((![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=V)|~app(Z,X1)=U))|(ssItem(sk0_51(Z,Y,X,W,V,U))&((memberP(V,sk0_51(Z,Y,X,W,V,U))&geq(sk0_51(Z,Y,X,W,V,U),Y))&~Y=sk0_51(Z,Y,X,W,V,U)))))))))&(ssItem(sk0_52(X,W,V,U))&(ssList(sk0_53(X,W,V,U))&(ssList(sk0_54(X,W,V,U))&((app(app(sk0_53(X,W,V,U),cons(sk0_52(X,W,V,U),nil)),sk0_54(X,W,V,U))=X&app(sk0_53(X,W,V,U),sk0_54(X,W,V,U))=W)&(![X6]: (((~ssItem(X6)|sk0_52(X,W,V,U)=X6)|~memberP(X,X6))|~geq(X6,sk0_52(X,W,V,U))))))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f428])).
% 0.14/0.36 fof(f431,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~ssList(X5)|~ssList(X6)|~app(app(X5,cons(X4,nil)),X6)=X2|~app(X5,X6)=X3|ssItem(sk0_51(X5,X4,X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f432,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~ssList(X5)|~ssList(X6)|~app(app(X5,cons(X4,nil)),X6)=X2|~app(X5,X6)=X3|memberP(X2,sk0_51(X5,X4,X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f433,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~ssList(X5)|~ssList(X6)|~app(app(X5,cons(X4,nil)),X6)=X2|~app(X5,X6)=X3|geq(sk0_51(X5,X4,X0,X1,X2,X3),X4))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f434,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~ssList(X5)|~ssList(X6)|~app(app(X5,cons(X4,nil)),X6)=X2|~app(X5,X6)=X3|~X4=sk0_51(X5,X4,X0,X1,X2,X3))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f435,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_52(X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f436,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_53(X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f437,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_54(X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f438,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(app(sk0_53(X0,X1,X2,X3),cons(sk0_52(X0,X1,X2,X3),nil)),sk0_54(X0,X1,X2,X3))=X0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f439,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(sk0_53(X0,X1,X2,X3),sk0_54(X0,X1,X2,X3))=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f440,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|sk0_52(X0,X1,X2,X3)=X4|~memberP(X0,X4)|~geq(X4,sk0_52(X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.36 fof(f441,plain,(
% 0.14/0.36 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f442,plain,(
% 0.14/0.36 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.14/0.36 inference(component_clause,[status(thm)],[f441])).
% 0.14/0.36 fof(f444,plain,(
% 0.14/0.36 spl0_1 <=> neq(sk0_48,nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f445,plain,(
% 0.14/0.36 neq(sk0_48,nil)|~spl0_1),
% 0.14/0.36 inference(component_clause,[status(thm)],[f444])).
% 0.14/0.36 fof(f447,plain,(
% 0.14/0.36 spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f425,f441,f444])).
% 0.14/0.36 fof(f448,plain,(
% 0.14/0.36 spl0_2 <=> neq(sk0_50,nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f450,plain,(
% 0.14/0.36 ~neq(sk0_50,nil)|spl0_2),
% 0.14/0.36 inference(component_clause,[status(thm)],[f448])).
% 0.14/0.36 fof(f451,plain,(
% 0.14/0.36 spl0_0|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f426,f441,f448])).
% 0.14/0.36 fof(f482,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4))|~ssItem(X3)|~ssList(X2)|~ssList(X4)|ssItem(sk0_51(X2,X3,X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4))))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f431])).
% 0.14/0.36 fof(f483,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4))|~ssItem(X3)|~ssList(X2)|~ssList(X4)|memberP(app(app(X2,cons(X3,nil)),X4),sk0_51(X2,X3,X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4))))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.14/0.36 fof(f484,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4))|~ssItem(X3)|~ssList(X2)|~ssList(X4)|geq(sk0_51(X2,X3,X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4)),X3))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f433])).
% 0.14/0.36 fof(f485,plain,(
% 0.14/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4))|~ssItem(X3)|~ssList(X2)|~ssList(X4)|~X3=sk0_51(X2,X3,X0,X1,app(app(X2,cons(X3,nil)),X4),app(X2,X4)))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f434])).
% 0.14/0.36 fof(f488,plain,(
% 0.14/0.36 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f423,f442])).
% 0.14/0.36 fof(f489,plain,(
% 0.14/0.36 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f424,f488])).
% 0.14/0.36 fof(f490,plain,(
% 0.14/0.36 ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f435,f489])).
% 0.14/0.36 fof(f491,plain,(
% 0.14/0.36 ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f436,f489])).
% 0.14/0.36 fof(f492,plain,(
% 0.14/0.36 ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f437,f489])).
% 0.14/0.36 fof(f493,plain,(
% 0.14/0.36 ~neq(sk0_48,nil)|spl0_2),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f423,f450])).
% 0.14/0.36 fof(f497,plain,(
% 0.14/0.36 $false|spl0_2|~spl0_1),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f445,f493])).
% 0.14/0.36 fof(f498,plain,(
% 0.14/0.36 spl0_2|~spl0_1),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f497])).
% 0.14/0.36 fof(f504,plain,(
% 0.14/0.36 app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_47|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f439,f489])).
% 0.14/0.36 fof(f508,plain,(
% 0.14/0.36 spl0_4 <=> ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f510,plain,(
% 0.14/0.36 ~ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_4),
% 0.14/0.36 inference(component_clause,[status(thm)],[f508])).
% 0.14/0.36 fof(f511,plain,(
% 0.14/0.36 spl0_5 <=> ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f513,plain,(
% 0.14/0.36 ~ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_5),
% 0.14/0.36 inference(component_clause,[status(thm)],[f511])).
% 0.14/0.36 fof(f521,plain,(
% 0.14/0.36 $false|~spl0_0|spl0_5),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f513,f492])).
% 0.14/0.36 fof(f522,plain,(
% 0.14/0.36 ~spl0_0|spl0_5),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f521])).
% 0.14/0.36 fof(f523,plain,(
% 0.14/0.36 $false|~spl0_0|spl0_4),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f510,f491])).
% 0.14/0.36 fof(f524,plain,(
% 0.14/0.36 ~spl0_0|spl0_4),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f523])).
% 0.14/0.36 fof(f533,plain,(
% 0.14/0.36 app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_48|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f438,f489])).
% 0.14/0.36 fof(f534,plain,(
% 0.14/0.36 spl0_8 <=> ~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f535,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~spl0_8)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f534])).
% 0.14/0.36 fof(f537,plain,(
% 0.14/0.36 spl0_9 <=> ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f539,plain,(
% 0.14/0.36 ~ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_9),
% 0.14/0.36 inference(component_clause,[status(thm)],[f537])).
% 0.14/0.36 fof(f540,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))|~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~spl0_0)),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f533,f485])).
% 0.14/0.36 fof(f541,plain,(
% 0.14/0.36 spl0_8|~spl0_9|~spl0_4|~spl0_5|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f540,f534,f537,f508,f511,f441])).
% 0.14/0.36 fof(f542,plain,(
% 0.14/0.36 spl0_10 <=> ~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|memberP(app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f543,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|memberP(app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_10)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f542])).
% 0.14/0.36 fof(f545,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))|memberP(app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0)),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f533,f483])).
% 0.14/0.36 fof(f546,plain,(
% 0.14/0.36 spl0_10|~spl0_9|~spl0_4|~spl0_5|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f545,f542,f537,f508,f511,f441])).
% 0.14/0.36 fof(f547,plain,(
% 0.14/0.36 spl0_11 <=> ~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f548,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_11)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f547])).
% 0.14/0.36 fof(f550,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))|ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0)),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f533,f482])).
% 0.14/0.36 fof(f551,plain,(
% 0.14/0.36 spl0_11|~spl0_9|~spl0_4|~spl0_5|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f550,f547,f537,f508,f511,f441])).
% 0.14/0.36 fof(f570,plain,(
% 0.14/0.36 $false|~spl0_0|spl0_9),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f539,f490])).
% 0.14/0.36 fof(f571,plain,(
% 0.14/0.36 ~spl0_0|spl0_9),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f570])).
% 0.14/0.36 fof(f572,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~spl0_0|~spl0_8)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f535])).
% 0.14/0.36 fof(f573,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~spl0_0|~spl0_8)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f533,f572])).
% 0.14/0.36 fof(f574,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,sk0_47)|~spl0_0|~spl0_8)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f573])).
% 0.14/0.36 fof(f575,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|memberP(app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0|~spl0_10)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f543])).
% 0.14/0.36 fof(f576,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0|~spl0_10)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f533,f575])).
% 0.14/0.36 fof(f577,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0|~spl0_10)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f533,f576])).
% 0.14/0.36 fof(f578,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,sk0_47))|~spl0_0|~spl0_10)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f577])).
% 0.14/0.36 fof(f579,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0|~spl0_11)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f548])).
% 0.14/0.36 fof(f580,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))))|~spl0_0|~spl0_11)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f533,f579])).
% 0.14/0.36 fof(f581,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,sk0_47))|~spl0_0|~spl0_11)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f580])).
% 0.14/0.36 fof(f582,plain,(
% 0.14/0.36 ~sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_8|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f574,f489])).
% 0.14/0.36 fof(f583,plain,(
% 0.14/0.36 spl0_16 <=> ~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f584,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_16)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f583])).
% 0.14/0.36 fof(f586,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssItem(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))|geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0)),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f533,f484])).
% 0.14/0.36 fof(f587,plain,(
% 0.14/0.36 spl0_16|~spl0_9|~spl0_4|~spl0_5|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f586,f583,f537,f508,f511,f441])).
% 0.14/0.36 fof(f598,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,app(app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0|~spl0_16)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f584])).
% 0.14/0.36 fof(f599,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,app(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_54(sk0_48,sk0_47,sk0_48,sk0_47))),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0|~spl0_16)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f533,f598])).
% 0.14/0.36 fof(f600,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),X0,X1,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0|~spl0_16)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f504,f599])).
% 0.14/0.36 fof(f615,plain,(
% 0.14/0.36 ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_11|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f581,f489])).
% 0.14/0.36 fof(f616,plain,(
% 0.14/0.36 memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_10|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f578,f489])).
% 0.14/0.36 fof(f617,plain,(
% 0.14/0.36 geq(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_16|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f600,f489])).
% 0.14/0.36 fof(f618,plain,(
% 0.14/0.36 spl0_21 <=> pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f620,plain,(
% 0.14/0.36 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_21),
% 0.14/0.36 inference(component_clause,[status(thm)],[f618])).
% 0.14/0.36 fof(f621,plain,(
% 0.14/0.36 spl0_22 <=> ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f623,plain,(
% 0.14/0.36 ~ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))|spl0_22),
% 0.14/0.36 inference(component_clause,[status(thm)],[f621])).
% 0.14/0.36 fof(f624,plain,(
% 0.14/0.36 spl0_23 <=> sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f625,plain,(
% 0.14/0.36 sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_23),
% 0.14/0.36 inference(component_clause,[status(thm)],[f624])).
% 0.14/0.36 fof(f627,plain,(
% 0.14/0.36 spl0_24 <=> memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f629,plain,(
% 0.14/0.36 ~memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))|spl0_24),
% 0.14/0.36 inference(component_clause,[status(thm)],[f627])).
% 0.14/0.36 fof(f630,plain,(
% 0.14/0.36 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~ssItem(sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))|sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)=sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47)|~memberP(sk0_48,sk0_51(sk0_53(sk0_48,sk0_47,sk0_48,sk0_47),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_16|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f617,f440])).
% 0.14/0.36 fof(f631,plain,(
% 0.14/0.36 ~spl0_21|~spl0_22|spl0_23|~spl0_24|~spl0_16|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f630,f618,f621,f624,f627,f583,f441])).
% 0.14/0.36 fof(f632,plain,(
% 0.14/0.36 $false|~spl0_10|~spl0_0|spl0_24),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f629,f616])).
% 0.14/0.36 fof(f633,plain,(
% 0.14/0.36 ~spl0_10|~spl0_0|spl0_24),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f632])).
% 0.14/0.36 fof(f634,plain,(
% 0.14/0.36 $false|~spl0_11|~spl0_0|spl0_22),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f623,f615])).
% 0.14/0.36 fof(f635,plain,(
% 0.14/0.36 ~spl0_11|~spl0_0|spl0_22),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f634])).
% 0.14/0.36 fof(f636,plain,(
% 0.14/0.36 $false|~spl0_0|spl0_21),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f620,f489])).
% 0.14/0.36 fof(f637,plain,(
% 0.14/0.36 ~spl0_0|spl0_21),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f636])).
% 0.14/0.36 fof(f638,plain,(
% 0.14/0.36 $false|~spl0_8|~spl0_0|~spl0_23),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f625,f582])).
% 0.14/0.36 fof(f639,plain,(
% 0.14/0.36 ~spl0_8|~spl0_0|~spl0_23),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f638])).
% 0.14/0.36 fof(f640,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f447,f451,f498,f522,f524,f541,f546,f551,f571,f587,f631,f633,f635,f637,f639])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/0.59 % Elapsed time: 0.072060 seconds
% 0.32/0.59 % CPU time: 0.161583 seconds
% 0.32/0.59 % Memory used: 22.179 MB
%------------------------------------------------------------------------------