TSTP Solution File: SWC004+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC004+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 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC004+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:38:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.47 % Refutation found
% 0.20/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.47 fof(f15,axiom,(
% 0.20/0.47 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f16,axiom,(
% 0.20/0.47 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f17,axiom,(
% 0.20/0.47 ssList(nil) ),
% 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f18,axiom,(
% 0.20/0.47 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f96,conjecture,(
% 0.20/0.47 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U& neq(Z,nil) ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssList(X3)=> (! [X4] :( ssList(X4)=> ( app(app(X3,cons(X2,nil)),X4) != X| app(X3,X4) != W ) ) )) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.20/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.47 fof(f97,negated_conjecture,(
% 0.20/0.47 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U& neq(Z,nil) ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssList(X3)=> (! [X4] :( ssList(X4)=> ( app(app(X3,cons(X2,nil)),X4) != X| app(X3,X4) != W ) ) )) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.20/0.47 inference(negated_conjecture,[status(cth)],[f96])).
% 0.20/0.47 fof(f217,plain,(
% 0.20/0.47 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.47 fof(f218,plain,(
% 0.20/0.47 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.20/0.47 inference(NNF_transformation,[status(esa)],[f217])).
% 0.20/0.47 fof(f220,plain,(
% 0.20/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.47 fof(f221,plain,(
% 0.20/0.47 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.47 fof(f222,plain,(
% 0.20/0.47 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f221])).
% 0.20/0.47 fof(f223,plain,(
% 0.20/0.47 ssList(nil)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.47 fof(f224,plain,(
% 0.20/0.47 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.47 fof(f225,plain,(
% 0.20/0.47 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f224])).
% 0.20/0.47 fof(f415,plain,(
% 0.20/0.47 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: (((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U)|~neq(Z,nil))))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&(app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W))))))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.20/0.47 fof(f416,plain,(
% 0.20/0.47 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: (((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U)|~neq(Z,nil))))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&(app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W)))))))))),
% 0.20/0.47 introduced(predicate_definition,[f415])).
% 0.20/0.47 fof(f417,plain,(
% 0.20/0.47 ?[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)))))))))))),
% 0.20/0.47 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.20/0.47 fof(f418,plain,(
% 0.20/0.47 (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))))))))),
% 0.20/0.47 inference(skolemization,[status(esa)],[f417])).
% 0.20/0.47 fof(f420,plain,(
% 0.20/0.47 ssList(sk0_48)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.47 fof(f422,plain,(
% 0.20/0.47 ssList(sk0_50)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.47 fof(f423,plain,(
% 0.20/0.47 sk0_48=sk0_50),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.47 fof(f424,plain,(
% 0.20/0.47 sk0_47=sk0_49),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.47 fof(f425,plain,(
% 0.20/0.47 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.47 fof(f426,plain,(
% 0.20/0.47 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f418])).
% 0.20/0.47 fof(f427,plain,(
% 0.20/0.47 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: (((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U)|~neq(Z,nil))))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&(app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W)))))))))),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.20/0.47 fof(f428,plain,(
% 0.20/0.47 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|((![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U))|~neq(Z,nil)))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&(app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W)))))))))),
% 0.20/0.47 inference(miniscoping,[status(esa)],[f427])).
% 0.20/0.47 fof(f429,plain,(
% 0.20/0.47 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|((![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U))|~neq(Z,nil)))))))&(ssItem(sk0_51(X,W,V,U))&(ssList(sk0_52(X,W,V,U))&(ssList(sk0_53(X,W,V,U))&(app(app(sk0_52(X,W,V,U),cons(sk0_51(X,W,V,U),nil)),sk0_53(X,W,V,U))=X&app(sk0_52(X,W,V,U),sk0_53(X,W,V,U))=W))))))),
% 0.20/0.47 inference(skolemization,[status(esa)],[f428])).
% 0.20/0.47 fof(f431,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|~app(app(X4,X5),X6)=X2|~app(X4,X6)=X3|~neq(X5,nil))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f429])).
% 0.20/0.47 fof(f432,plain,(
% 0.20/0.47 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f429])).
% 0.20/0.47 fof(f433,plain,(
% 0.20/0.47 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_52(X0,X1,X2,X3)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f429])).
% 0.20/0.47 fof(f434,plain,(
% 0.20/0.47 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_53(X0,X1,X2,X3)))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f429])).
% 0.20/0.47 fof(f435,plain,(
% 0.20/0.47 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(app(sk0_52(X0,X1,X2,X3),cons(sk0_51(X0,X1,X2,X3),nil)),sk0_53(X0,X1,X2,X3))=X0)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f429])).
% 0.20/0.47 fof(f436,plain,(
% 0.20/0.47 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(sk0_52(X0,X1,X2,X3),sk0_53(X0,X1,X2,X3))=X1)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f429])).
% 0.20/0.47 fof(f437,plain,(
% 0.20/0.47 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f438,plain,(
% 0.20/0.47 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.20/0.47 inference(component_clause,[status(thm)],[f437])).
% 0.20/0.47 fof(f440,plain,(
% 0.20/0.47 spl0_1 <=> neq(sk0_48,nil)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f441,plain,(
% 0.20/0.47 neq(sk0_48,nil)|~spl0_1),
% 0.20/0.47 inference(component_clause,[status(thm)],[f440])).
% 0.20/0.47 fof(f443,plain,(
% 0.20/0.47 spl0_0|spl0_1),
% 0.20/0.47 inference(split_clause,[status(thm)],[f425,f437,f440])).
% 0.20/0.47 fof(f444,plain,(
% 0.20/0.47 spl0_2 <=> neq(sk0_50,nil)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f446,plain,(
% 0.20/0.47 ~neq(sk0_50,nil)|spl0_2),
% 0.20/0.47 inference(component_clause,[status(thm)],[f444])).
% 0.20/0.47 fof(f447,plain,(
% 0.20/0.47 spl0_0|~spl0_2),
% 0.20/0.47 inference(split_clause,[status(thm)],[f426,f437,f444])).
% 0.20/0.47 fof(f449,plain,(
% 0.20/0.47 spl0_3 <=> ~ssList(X0)|~ssList(X0)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f450,plain,(
% 0.20/0.47 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_3)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f449])).
% 0.20/0.47 fof(f457,plain,(
% 0.20/0.47 ![X0]: (~ssList(X0)|~spl0_3)),
% 0.20/0.47 inference(duplicate_literals_removal,[status(esa)],[f450])).
% 0.20/0.47 fof(f458,plain,(
% 0.20/0.47 spl0_5 <=> ssList(sk0_50)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f460,plain,(
% 0.20/0.47 ~ssList(sk0_50)|spl0_5),
% 0.20/0.47 inference(component_clause,[status(thm)],[f458])).
% 0.20/0.47 fof(f461,plain,(
% 0.20/0.47 spl0_6 <=> ssList(nil)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f463,plain,(
% 0.20/0.47 ~ssList(nil)|spl0_6),
% 0.20/0.47 inference(component_clause,[status(thm)],[f461])).
% 0.20/0.47 fof(f478,plain,(
% 0.20/0.47 $false|spl0_6),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f463,f223])).
% 0.20/0.47 fof(f479,plain,(
% 0.20/0.47 spl0_6),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f478])).
% 0.20/0.47 fof(f480,plain,(
% 0.20/0.47 $false|spl0_5),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f460,f422])).
% 0.20/0.47 fof(f481,plain,(
% 0.20/0.47 spl0_5),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f480])).
% 0.20/0.47 fof(f488,plain,(
% 0.20/0.47 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.20/0.47 inference(paramodulation,[status(thm)],[f423,f438])).
% 0.20/0.47 fof(f490,plain,(
% 0.20/0.47 spl0_10 <=> ssList(sk0_48)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f492,plain,(
% 0.20/0.47 ~ssList(sk0_48)|spl0_10),
% 0.20/0.47 inference(component_clause,[status(thm)],[f490])).
% 0.20/0.47 fof(f504,plain,(
% 0.20/0.47 $false|spl0_10),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f492,f420])).
% 0.20/0.47 fof(f505,plain,(
% 0.20/0.47 spl0_10),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f504])).
% 0.20/0.47 fof(f508,plain,(
% 0.20/0.47 $false|~spl0_3),
% 0.20/0.47 inference(backward_subsumption_resolution,[status(thm)],[f223,f457])).
% 0.20/0.47 fof(f509,plain,(
% 0.20/0.47 ~spl0_3),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f508])).
% 0.20/0.47 fof(f516,plain,(
% 0.20/0.47 ~neq(sk0_48,nil)|spl0_2),
% 0.20/0.47 inference(paramodulation,[status(thm)],[f423,f446])).
% 0.20/0.47 fof(f517,plain,(
% 0.20/0.47 $false|~spl0_1|spl0_2),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f516,f441])).
% 0.20/0.47 fof(f518,plain,(
% 0.20/0.47 ~spl0_1|spl0_2),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f517])).
% 0.20/0.47 fof(f527,plain,(
% 0.20/0.47 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.20/0.47 inference(paramodulation,[status(thm)],[f424,f488])).
% 0.20/0.47 fof(f534,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssList(sk0_52(X2,X4,X5,X6))|~ssList(cons(sk0_51(X2,X4,X5,X6),nil))|~ssList(sk0_53(X2,X4,X5,X6))|~app(sk0_52(X2,X4,X5,X6),sk0_53(X2,X4,X5,X6))=X3|~neq(cons(sk0_51(X2,X4,X5,X6),nil),nil)|~pd0_0(X2,X4,X5,X6))),
% 0.20/0.47 inference(resolution,[status(thm)],[f431,f435])).
% 0.20/0.47 fof(f535,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssList(cons(sk0_51(X2,X4,X5,X6),nil))|~ssList(sk0_53(X2,X4,X5,X6))|~app(sk0_52(X2,X4,X5,X6),sk0_53(X2,X4,X5,X6))=X3|~neq(cons(sk0_51(X2,X4,X5,X6),nil),nil)|~pd0_0(X2,X4,X5,X6))),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f534,f433])).
% 0.20/0.47 fof(f539,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssList(cons(sk0_51(X2,X4,X5,X6),nil))|~app(sk0_52(X2,X4,X5,X6),sk0_53(X2,X4,X5,X6))=X3|~neq(cons(sk0_51(X2,X4,X5,X6),nil),nil)|~pd0_0(X2,X4,X5,X6))),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f535,f434])).
% 0.20/0.47 fof(f540,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssList(cons(sk0_51(X2,X3,X4,X5),nil))|~neq(cons(sk0_51(X2,X3,X4,X5),nil),nil)|~pd0_0(X2,X3,X4,X5)|~pd0_0(X2,X3,X4,X5))),
% 0.20/0.47 inference(resolution,[status(thm)],[f539,f436])).
% 0.20/0.47 fof(f541,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssList(cons(sk0_51(X2,X3,X4,X5),nil))|~neq(cons(sk0_51(X2,X3,X4,X5),nil),nil)|~pd0_0(X2,X3,X4,X5))),
% 0.20/0.47 inference(duplicate_literals_removal,[status(esa)],[f540])).
% 0.20/0.47 fof(f559,plain,(
% 0.20/0.47 spl0_15 <=> ~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|~pd0_0(X0,X1,X2,X3)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f560,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5]: (~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|~pd0_0(X0,X1,X2,X3)|~spl0_15)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f559])).
% 0.20/0.47 fof(f562,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5]: (~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|~ssList(nil)|cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|~pd0_0(X0,X1,X2,X3))),
% 0.20/0.47 inference(resolution,[status(thm)],[f220,f541])).
% 0.20/0.47 fof(f563,plain,(
% 0.20/0.47 spl0_15|~spl0_6),
% 0.20/0.47 inference(split_clause,[status(thm)],[f562,f559,f461])).
% 0.20/0.47 fof(f564,plain,(
% 0.20/0.47 ![X0,X1,X2,X3,X4,X5]: (~ssList(cons(sk0_51(X0,X1,X2,X3),nil))|cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~pd0_0(X0,X1,X2,X3)|~spl0_15)),
% 0.20/0.47 inference(duplicate_literals_removal,[status(esa)],[f560])).
% 0.20/0.47 fof(f625,plain,(
% 0.20/0.47 spl0_21 <=> cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~pd0_0(X0,X1,X2,X3)|~ssItem(sk0_51(X0,X1,X2,X3))),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f626,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~pd0_0(X0,X1,X2,X3)|~ssItem(sk0_51(X0,X1,X2,X3))|~spl0_21)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f625])).
% 0.20/0.48 fof(f628,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~pd0_0(X0,X1,X2,X3)|~ssList(nil)|~ssItem(sk0_51(X0,X1,X2,X3))|~spl0_15)),
% 0.20/0.48 inference(resolution,[status(thm)],[f564,f222])).
% 0.20/0.48 fof(f629,plain,(
% 0.20/0.48 spl0_21|~spl0_6|~spl0_15),
% 0.20/0.48 inference(split_clause,[status(thm)],[f628,f625,f461,f559])).
% 0.20/0.48 fof(f630,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (cons(sk0_51(X0,X1,X2,X3),nil)=nil|~pd0_0(X4,X5,X0,X1)|~pd0_0(X0,X1,X2,X3)|~spl0_21)),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f626,f432])).
% 0.20/0.48 fof(f631,plain,(
% 0.20/0.48 spl0_22 <=> ~pd0_0(X0,X1,X2,X3)|~pd0_0(X2,X3,X4,X5)|~ssItem(sk0_51(X2,X3,X4,X5))),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f632,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~pd0_0(X2,X3,X4,X5)|~ssItem(sk0_51(X2,X3,X4,X5))|~spl0_22)),
% 0.20/0.48 inference(component_clause,[status(thm)],[f631])).
% 0.20/0.48 fof(f634,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~pd0_0(X2,X3,X4,X5)|~ssList(nil)|~ssItem(sk0_51(X2,X3,X4,X5))|~spl0_21)),
% 0.20/0.48 inference(resolution,[status(thm)],[f630,f225])).
% 0.20/0.48 fof(f635,plain,(
% 0.20/0.48 spl0_22|~spl0_6|~spl0_21),
% 0.20/0.48 inference(split_clause,[status(thm)],[f634,f631,f461,f625])).
% 0.20/0.48 fof(f638,plain,(
% 0.20/0.48 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~pd0_0(X2,X3,X4,X5)|~spl0_22)),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f632,f432])).
% 0.20/0.48 fof(f639,plain,(
% 0.20/0.48 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_22|~spl0_0)),
% 0.20/0.48 inference(resolution,[status(thm)],[f638,f527])).
% 0.20/0.48 fof(f643,plain,(
% 0.20/0.48 $false|~spl0_22|~spl0_0),
% 0.20/0.48 inference(backward_subsumption_resolution,[status(thm)],[f527,f639])).
% 0.20/0.48 fof(f644,plain,(
% 0.20/0.48 ~spl0_22|~spl0_0),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f643])).
% 0.20/0.48 fof(f645,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(sat_refutation,[status(thm)],[f443,f447,f479,f481,f505,f509,f518,f563,f629,f635,f644])).
% 0.20/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.48 % Elapsed time: 0.137362 seconds
% 0.20/0.48 % CPU time: 0.941703 seconds
% 0.20/0.48 % Memory used: 70.364 MB
%------------------------------------------------------------------------------