TSTP Solution File: SWC417+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC417+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:40:23 EDT 2023
% Result : Theorem 2.12s 0.74s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC417+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:38:58 EDT 2023
% 0.14/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 2.12/0.74 % Refutation found
% 2.12/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.12/0.74 % SZS output start CNFRefutation for theBenchmark
% 2.12/0.74 fof(f15,axiom,(
% 2.12/0.74 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 2.12/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.74 fof(f16,axiom,(
% 2.12/0.74 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 2.12/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.74 fof(f17,axiom,(
% 2.12/0.74 ssList(nil) ),
% 2.12/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.74 fof(f28,axiom,(
% 2.12/0.74 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 2.12/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.74 fof(f84,axiom,(
% 2.12/0.74 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 2.12/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.74 fof(f96,conjecture,(
% 2.12/0.74 (! [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(app(X1,cons(Y,nil)),Z) = U ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssList(X3)=> ( app(cons(X2,nil),X3) != X| app(X3,cons(X2,nil)) != W ) ) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 2.12/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.74 fof(f97,negated_conjecture,(
% 2.12/0.74 ~((! [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(app(X1,cons(Y,nil)),Z) = U ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssList(X3)=> ( app(cons(X2,nil),X3) != X| app(X3,cons(X2,nil)) != W ) ) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 2.12/0.74 inference(negated_conjecture,[status(cth)],[f96])).
% 2.12/0.74 fof(f217,plain,(
% 2.12/0.74 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 2.12/0.74 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.12/0.74 fof(f218,plain,(
% 2.12/0.74 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 2.12/0.74 inference(NNF_transformation,[status(esa)],[f217])).
% 2.12/0.74 fof(f219,plain,(
% 2.12/0.74 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f218])).
% 2.12/0.74 fof(f221,plain,(
% 2.12/0.74 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 2.12/0.74 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.12/0.74 fof(f222,plain,(
% 2.12/0.74 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f221])).
% 2.12/0.74 fof(f223,plain,(
% 2.12/0.74 ssList(nil)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f17])).
% 2.12/0.74 fof(f248,plain,(
% 2.12/0.74 ![U]: (~ssList(U)|app(nil,U)=U)),
% 2.12/0.74 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 2.12/0.74 fof(f249,plain,(
% 2.12/0.74 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f248])).
% 2.12/0.74 fof(f388,plain,(
% 2.12/0.74 ![U]: (~ssList(U)|app(U,nil)=U)),
% 2.12/0.74 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 2.12/0.74 fof(f389,plain,(
% 2.12/0.74 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f388])).
% 2.12/0.74 fof(f415,plain,(
% 2.12/0.74 (?[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(app(X1,cons(Y,nil)),Z)=U)))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(app(cons(X2,nil),X3)=X&app(X3,cons(X2,nil))=W))))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 2.12/0.74 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 2.12/0.74 fof(f416,plain,(
% 2.12/0.74 ![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(app(X1,cons(Y,nil)),Z)=U)))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(app(cons(X2,nil),X3)=X&app(X3,cons(X2,nil))=W)))))))),
% 2.12/0.74 introduced(predicate_definition,[f415])).
% 2.12/0.74 fof(f417,plain,(
% 2.12/0.74 ?[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)))))))))))),
% 2.12/0.74 inference(formula_renaming,[status(thm)],[f415,f416])).
% 2.12/0.74 fof(f418,plain,(
% 2.12/0.74 (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))))))))),
% 2.12/0.74 inference(skolemization,[status(esa)],[f417])).
% 2.12/0.74 fof(f419,plain,(
% 2.12/0.74 ssList(sk0_47)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f418])).
% 2.12/0.74 fof(f423,plain,(
% 2.12/0.74 sk0_48=sk0_50),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f418])).
% 2.12/0.74 fof(f424,plain,(
% 2.12/0.74 sk0_47=sk0_49),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f418])).
% 2.12/0.74 fof(f425,plain,(
% 2.12/0.74 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f418])).
% 2.12/0.74 fof(f426,plain,(
% 2.12/0.74 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f418])).
% 2.12/0.74 fof(f427,plain,(
% 2.12/0.74 ![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(app(X1,cons(Y,nil)),Z)=U)))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(app(cons(X2,nil),X3)=X&app(X3,cons(X2,nil))=W)))))))),
% 2.12/0.74 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 2.12/0.74 fof(f428,plain,(
% 2.12/0.74 ![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(app(X1,cons(Y,nil)),Z)=U)))))))&(ssItem(sk0_51(X,W,V,U))&(ssList(sk0_52(X,W,V,U))&(app(cons(sk0_51(X,W,V,U),nil),sk0_52(X,W,V,U))=X&app(sk0_52(X,W,V,U),cons(sk0_51(X,W,V,U),nil))=W)))))),
% 2.12/0.74 inference(skolemization,[status(esa)],[f427])).
% 2.12/0.74 fof(f429,plain,(
% 2.12/0.74 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f428])).
% 2.12/0.74 fof(f430,plain,(
% 2.12/0.74 ![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(app(X6,cons(X4,nil)),X5)=X3)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f428])).
% 2.12/0.74 fof(f431,plain,(
% 2.12/0.74 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f428])).
% 2.12/0.74 fof(f432,plain,(
% 2.12/0.74 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_52(X0,X1,X2,X3)))),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f428])).
% 2.12/0.74 fof(f433,plain,(
% 2.12/0.74 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(cons(sk0_51(X0,X1,X2,X3),nil),sk0_52(X0,X1,X2,X3))=X0)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f428])).
% 2.12/0.74 fof(f434,plain,(
% 2.12/0.74 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(sk0_52(X0,X1,X2,X3),cons(sk0_51(X0,X1,X2,X3),nil))=X1)),
% 2.12/0.74 inference(cnf_transformation,[status(esa)],[f428])).
% 2.12/0.74 fof(f435,plain,(
% 2.12/0.74 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f436,plain,(
% 2.12/0.74 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 2.12/0.74 inference(component_clause,[status(thm)],[f435])).
% 2.12/0.74 fof(f438,plain,(
% 2.12/0.74 spl0_1 <=> neq(sk0_48,nil)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f439,plain,(
% 2.12/0.74 neq(sk0_48,nil)|~spl0_1),
% 2.12/0.74 inference(component_clause,[status(thm)],[f438])).
% 2.12/0.74 fof(f441,plain,(
% 2.12/0.74 spl0_0|spl0_1),
% 2.12/0.74 inference(split_clause,[status(thm)],[f425,f435,f438])).
% 2.12/0.74 fof(f442,plain,(
% 2.12/0.74 spl0_2 <=> neq(sk0_50,nil)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f444,plain,(
% 2.12/0.74 ~neq(sk0_50,nil)|spl0_2),
% 2.12/0.74 inference(component_clause,[status(thm)],[f442])).
% 2.12/0.74 fof(f445,plain,(
% 2.12/0.74 spl0_0|~spl0_2),
% 2.12/0.74 inference(split_clause,[status(thm)],[f426,f435,f442])).
% 2.12/0.74 fof(f461,plain,(
% 2.12/0.74 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 2.12/0.74 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 2.12/0.74 fof(f462,plain,(
% 2.12/0.74 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 2.12/0.74 inference(duplicate_literals_removal,[status(esa)],[f461])).
% 2.12/0.74 fof(f476,plain,(
% 2.12/0.74 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,app(app(X2,cons(X3,nil)),X4),app(app(X4,cons(X3,nil)),X2))|~ssItem(X3)|~ssList(X2)|~ssList(X4))),
% 2.12/0.74 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 2.12/0.74 fof(f477,plain,(
% 2.12/0.74 ~neq(sk0_48,nil)|spl0_2),
% 2.12/0.74 inference(forward_demodulation,[status(thm)],[f423,f444])).
% 2.12/0.74 fof(f478,plain,(
% 2.12/0.74 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 2.12/0.74 inference(forward_demodulation,[status(thm)],[f423,f436])).
% 2.12/0.74 fof(f479,plain,(
% 2.12/0.74 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 2.12/0.74 inference(forward_demodulation,[status(thm)],[f424,f478])).
% 2.12/0.74 fof(f487,plain,(
% 2.12/0.74 $false|spl0_2|~spl0_1),
% 2.12/0.74 inference(forward_subsumption_resolution,[status(thm)],[f439,f477])).
% 2.12/0.74 fof(f488,plain,(
% 2.12/0.74 spl0_2|~spl0_1),
% 2.12/0.74 inference(contradiction_clause,[status(thm)],[f487])).
% 2.12/0.74 fof(f490,plain,(
% 2.12/0.74 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3)|~pd0_0(X4,X5,app(app(X6,cons(sk0_51(X0,X1,X2,X3),nil)),X7),app(app(X7,cons(sk0_51(X0,X1,X2,X3),nil)),X6))|~ssList(X6)|~ssList(X7))),
% 2.12/0.74 inference(resolution,[status(thm)],[f431,f476])).
% 2.12/0.74 fof(f491,plain,(
% 2.12/0.74 app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_48|~spl0_0),
% 2.12/0.74 inference(resolution,[status(thm)],[f433,f479])).
% 2.12/0.74 fof(f492,plain,(
% 2.12/0.74 app(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))=sk0_47|~spl0_0),
% 2.12/0.74 inference(resolution,[status(thm)],[f434,f479])).
% 2.12/0.74 fof(f493,plain,(
% 2.12/0.74 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,app(app(X2,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),X3),app(app(X3,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),X2))|~ssList(X2)|~ssList(X3)|~spl0_0)),
% 2.12/0.74 inference(resolution,[status(thm)],[f490,f479])).
% 2.12/0.74 fof(f497,plain,(
% 2.12/0.74 spl0_4 <=> ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f499,plain,(
% 2.12/0.74 ~ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_4),
% 2.12/0.74 inference(component_clause,[status(thm)],[f497])).
% 2.12/0.74 fof(f502,plain,(
% 2.12/0.74 spl0_5 <=> ~pd0_0(X0,X1,app(app(X2,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_47,X2))|~ssList(X2)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f503,plain,(
% 2.12/0.74 ![X0,X1,X2]: (~pd0_0(X0,X1,app(app(X2,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_47,X2))|~ssList(X2)|~spl0_5)),
% 2.12/0.74 inference(component_clause,[status(thm)],[f502])).
% 2.12/0.74 fof(f505,plain,(
% 2.12/0.74 ![X0,X1,X2]: (~pd0_0(X0,X1,app(app(X2,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),app(sk0_47,X2))|~ssList(X2)|~ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0)),
% 2.12/0.74 inference(paramodulation,[status(thm)],[f492,f493])).
% 2.12/0.74 fof(f506,plain,(
% 2.12/0.74 spl0_5|~spl0_4|~spl0_0),
% 2.12/0.74 inference(split_clause,[status(thm)],[f505,f502,f497,f435])).
% 2.12/0.74 fof(f507,plain,(
% 2.12/0.74 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_4),
% 2.12/0.74 inference(resolution,[status(thm)],[f499,f432])).
% 2.12/0.74 fof(f508,plain,(
% 2.12/0.74 $false|~spl0_0|spl0_4),
% 2.12/0.74 inference(forward_subsumption_resolution,[status(thm)],[f507,f479])).
% 2.12/0.74 fof(f509,plain,(
% 2.12/0.74 ~spl0_0|spl0_4),
% 2.12/0.74 inference(contradiction_clause,[status(thm)],[f508])).
% 2.12/0.74 fof(f518,plain,(
% 2.12/0.74 spl0_7 <=> ssList(nil)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f520,plain,(
% 2.12/0.74 ~ssList(nil)|spl0_7),
% 2.12/0.74 inference(component_clause,[status(thm)],[f518])).
% 2.12/0.74 fof(f521,plain,(
% 2.12/0.74 spl0_8 <=> ~pd0_0(X0,X1,nil,X2)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f524,plain,(
% 2.12/0.74 ![X0,X1,X2]: (~ssList(nil)|~pd0_0(X0,X1,nil,X2))),
% 2.12/0.74 inference(resolution,[status(thm)],[f462,f429])).
% 2.12/0.74 fof(f525,plain,(
% 2.12/0.74 ~spl0_7|spl0_8),
% 2.12/0.74 inference(split_clause,[status(thm)],[f524,f518,f521])).
% 2.12/0.74 fof(f526,plain,(
% 2.12/0.74 $false|spl0_7),
% 2.12/0.74 inference(forward_subsumption_resolution,[status(thm)],[f520,f223])).
% 2.12/0.74 fof(f527,plain,(
% 2.12/0.74 spl0_7),
% 2.12/0.74 inference(contradiction_clause,[status(thm)],[f526])).
% 2.12/0.74 fof(f536,plain,(
% 2.12/0.74 app(sk0_47,nil)=sk0_47),
% 2.12/0.74 inference(resolution,[status(thm)],[f389,f419])).
% 2.12/0.74 fof(f538,plain,(
% 2.12/0.74 spl0_9 <=> ~pd0_0(X0,X1,app(app(nil,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_47)),
% 2.12/0.74 introduced(split_symbol_definition)).
% 2.12/0.74 fof(f539,plain,(
% 2.12/0.74 ![X0,X1]: (~pd0_0(X0,X1,app(app(nil,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_47)|~spl0_9)),
% 2.12/0.74 inference(component_clause,[status(thm)],[f538])).
% 2.12/0.74 fof(f541,plain,(
% 2.12/0.74 ![X0,X1]: (~pd0_0(X0,X1,app(app(nil,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_47)|~ssList(nil)|~spl0_5)),
% 2.12/0.74 inference(paramodulation,[status(thm)],[f536,f503])).
% 2.12/0.74 fof(f542,plain,(
% 2.12/0.74 spl0_9|~spl0_7|~spl0_5),
% 2.12/0.74 inference(split_clause,[status(thm)],[f541,f538,f518,f502])).
% 2.12/0.74 fof(f573,plain,(
% 2.12/0.74 ![X0,X1,X2,X3,X4]: (~ssList(X0)|ssList(cons(sk0_51(X1,X2,X3,X4),X0))|~pd0_0(X1,X2,X3,X4))),
% 2.12/0.74 inference(resolution,[status(thm)],[f222,f431])).
% 2.12/0.74 fof(f574,plain,(
% 2.12/0.74 ![X0]: (~ssList(X0)|ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),X0))|~spl0_0)),
% 2.71/0.74 inference(resolution,[status(thm)],[f573,f479])).
% 2.71/0.74 fof(f577,plain,(
% 2.71/0.74 ![X0]: (~ssList(X0)|app(nil,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),X0))=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),X0)|~spl0_0)),
% 2.71/0.74 inference(resolution,[status(thm)],[f574,f249])).
% 2.71/0.74 fof(f650,plain,(
% 2.71/0.74 app(nil,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)|~spl0_0),
% 2.71/0.74 inference(resolution,[status(thm)],[f223,f577])).
% 2.71/0.74 fof(f658,plain,(
% 2.71/0.74 ![X0,X1]: (~pd0_0(X0,X1,app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_52(sk0_48,sk0_47,sk0_48,sk0_47)),sk0_47)|~spl0_0|~spl0_9)),
% 2.71/0.74 inference(backward_demodulation,[status(thm)],[f650,f539])).
% 2.71/0.74 fof(f659,plain,(
% 2.71/0.74 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_0|~spl0_9)),
% 2.71/0.74 inference(forward_demodulation,[status(thm)],[f491,f658])).
% 2.71/0.74 fof(f660,plain,(
% 2.71/0.74 $false|~spl0_9|~spl0_0),
% 2.71/0.74 inference(backward_subsumption_resolution,[status(thm)],[f479,f659])).
% 2.71/0.74 fof(f661,plain,(
% 2.71/0.74 ~spl0_9|~spl0_0),
% 2.71/0.74 inference(contradiction_clause,[status(thm)],[f660])).
% 2.71/0.74 fof(f662,plain,(
% 2.71/0.74 $false),
% 2.71/0.74 inference(sat_refutation,[status(thm)],[f441,f445,f488,f506,f509,f525,f527,f542,f661])).
% 2.71/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 2.71/0.76 % Elapsed time: 0.442332 seconds
% 2.71/0.76 % CPU time: 2.783819 seconds
% 2.71/0.76 % Memory used: 87.853 MB
%------------------------------------------------------------------------------