TSTP Solution File: SWC413+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC413+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:41 EDT 2024
% Result : Theorem 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC413+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:01:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 0.21/0.46 % Refutation found
% 0.21/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.46 fof(f96,conjecture,(
% 0.21/0.46 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(app(cons(Y,nil),cons(Z,nil)),X1) = V& app(app(cons(Z,nil),cons(Y,nil)),X1) = U ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )))| (! [X5] :( ssItem(X5)=> (! [X6] :( ssItem(X6)=> (! [X7] :( ssList(X7)=> ( app(app(cons(X5,nil),cons(X6,nil)),X7) != X| app(app(cons(X6,nil),cons(X5,nil)),X7) != W ) ) )) )) ))& ( (? [X8] :( ssItem(X8)& (? [X9] :( ssItem(X9)& (? [X10] :( ssList(X10)& app(app(cons(X8,nil),cons(X9,nil)),X10) = X ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )) )) ) ) ) )) )) )) )),
% 0.21/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.46 fof(f97,negated_conjecture,(
% 0.21/0.46 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(app(cons(Y,nil),cons(Z,nil)),X1) = V& app(app(cons(Z,nil),cons(Y,nil)),X1) = U ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )))| (! [X5] :( ssItem(X5)=> (! [X6] :( ssItem(X6)=> (! [X7] :( ssList(X7)=> ( app(app(cons(X5,nil),cons(X6,nil)),X7) != X| app(app(cons(X6,nil),cons(X5,nil)),X7) != W ) ) )) )) ))& ( (? [X8] :( ssItem(X8)& (? [X9] :( ssItem(X9)& (? [X10] :( ssList(X10)& app(app(cons(X8,nil),cons(X9,nil)),X10) = X ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssItem(X3)=> (! [X4] :( ssList(X4)=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) )) )) )) ) ) ) )) )) )) ))),
% 0.21/0.46 inference(negated_conjecture,[status(cth)],[f96])).
% 0.21/0.46 fof(f415,plain,(
% 0.21/0.46 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&((((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=V)|~app(app(cons(Z,nil),cons(Y,nil)),X1)=U))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V)))))))&(?[X5]: (ssItem(X5)&(?[X6]: (ssItem(X6)&(?[X7]: (ssList(X7)&(app(app(cons(X5,nil),cons(X6,nil)),X7)=X&app(app(cons(X6,nil),cons(X5,nil)),X7)=W))))))))|((![X8]: (~ssItem(X8)|(![X9]: (~ssItem(X9)|(![X10]: (~ssList(X10)|~app(app(cons(X8,nil),cons(X9,nil)),X10)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V)))))))))))))))))),
% 0.21/0.46 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.21/0.46 fof(f416,plain,(
% 0.21/0.46 ![U,V,W,X]: (pd0_0(X,W,V,U)=>(((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=V)|~app(app(cons(Z,nil),cons(Y,nil)),X1)=U))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V)))))))&(?[X5]: (ssItem(X5)&(?[X6]: (ssItem(X6)&(?[X7]: (ssList(X7)&(app(app(cons(X5,nil),cons(X6,nil)),X7)=X&app(app(cons(X6,nil),cons(X5,nil)),X7)=W)))))))))),
% 0.21/0.46 introduced(predicate_definition,[f415])).
% 0.21/0.46 fof(f417,plain,(
% 0.21/0.46 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|((![X8]: (~ssItem(X8)|(![X9]: (~ssItem(X9)|(![X10]: (~ssList(X10)|~app(app(cons(X8,nil),cons(X9,nil)),X10)=X))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V))))))))))))))))),
% 0.21/0.46 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.21/0.46 fof(f418,plain,(
% 0.21/0.46 (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)|((![X8]: (~ssItem(X8)|(![X9]: (~ssItem(X9)|(![X10]: (~ssList(X10)|~app(app(cons(X8,nil),cons(X9,nil)),X10)=sk0_50))))))&(ssItem(sk0_51)&(ssItem(sk0_52)&(ssList(sk0_53)&app(app(cons(sk0_51,nil),cons(sk0_52,nil)),sk0_53)=sk0_48))))))))))),
% 0.21/0.46 inference(skolemization,[status(esa)],[f417])).
% 0.21/0.46 fof(f423,plain,(
% 0.21/0.46 sk0_48=sk0_50),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f424,plain,(
% 0.21/0.46 sk0_47=sk0_49),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f425,plain,(
% 0.21/0.46 ![X0,X1,X2]: (pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk0_50)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f426,plain,(
% 0.21/0.46 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|ssItem(sk0_51)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f427,plain,(
% 0.21/0.46 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|ssItem(sk0_52)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f428,plain,(
% 0.21/0.46 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|ssList(sk0_53)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f429,plain,(
% 0.21/0.46 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|app(app(cons(sk0_51,nil),cons(sk0_52,nil)),sk0_53)=sk0_48),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f418])).
% 0.21/0.46 fof(f430,plain,(
% 0.21/0.46 ![U,V,W,X]: (~pd0_0(X,W,V,U)|(((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=V)|~app(app(cons(Z,nil),cons(Y,nil)),X1)=U))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssItem(X3)&(?[X4]: (ssList(X4)&app(app(cons(X2,nil),cons(X3,nil)),X4)=V)))))))&(?[X5]: (ssItem(X5)&(?[X6]: (ssItem(X6)&(?[X7]: (ssList(X7)&(app(app(cons(X5,nil),cons(X6,nil)),X7)=X&app(app(cons(X6,nil),cons(X5,nil)),X7)=W)))))))))),
% 0.21/0.46 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.21/0.46 fof(f431,plain,(
% 0.21/0.46 ![U,V,W,X]: (~pd0_0(X,W,V,U)|(((![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(app(cons(Y,nil),cons(Z,nil)),X1)=V)|~app(app(cons(Z,nil),cons(Y,nil)),X1)=U))))))&(ssItem(sk0_54(X,W,V,U))&(ssItem(sk0_55(X,W,V,U))&(ssList(sk0_56(X,W,V,U))&app(app(cons(sk0_54(X,W,V,U),nil),cons(sk0_55(X,W,V,U),nil)),sk0_56(X,W,V,U))=V))))&(ssItem(sk0_57(X,W,V,U))&(ssItem(sk0_58(X,W,V,U))&(ssList(sk0_59(X,W,V,U))&(app(app(cons(sk0_57(X,W,V,U),nil),cons(sk0_58(X,W,V,U),nil)),sk0_59(X,W,V,U))=X&app(app(cons(sk0_58(X,W,V,U),nil),cons(sk0_57(X,W,V,U),nil)),sk0_59(X,W,V,U))=W))))))),
% 0.21/0.46 inference(skolemization,[status(esa)],[f430])).
% 0.21/0.46 fof(f432,plain,(
% 0.21/0.46 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|~ssItem(X5)|~ssList(X6)|~app(app(cons(X4,nil),cons(X5,nil)),X6)=X2|~app(app(cons(X5,nil),cons(X4,nil)),X6)=X3)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f431])).
% 0.21/0.46 fof(f437,plain,(
% 0.21/0.46 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_57(X0,X1,X2,X3)))),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f431])).
% 0.21/0.46 fof(f438,plain,(
% 0.21/0.46 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_58(X0,X1,X2,X3)))),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f431])).
% 0.21/0.46 fof(f439,plain,(
% 0.21/0.46 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_59(X0,X1,X2,X3)))),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f431])).
% 0.21/0.46 fof(f440,plain,(
% 0.21/0.46 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(app(cons(sk0_57(X0,X1,X2,X3),nil),cons(sk0_58(X0,X1,X2,X3),nil)),sk0_59(X0,X1,X2,X3))=X0)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f431])).
% 0.21/0.46 fof(f441,plain,(
% 0.21/0.46 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(app(cons(sk0_58(X0,X1,X2,X3),nil),cons(sk0_57(X0,X1,X2,X3),nil)),sk0_59(X0,X1,X2,X3))=X1)),
% 0.21/0.46 inference(cnf_transformation,[status(esa)],[f431])).
% 0.21/0.46 fof(f442,plain,(
% 0.21/0.46 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f443,plain,(
% 0.21/0.46 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.21/0.46 inference(component_clause,[status(thm)],[f442])).
% 0.21/0.46 fof(f445,plain,(
% 0.21/0.46 spl0_1 <=> ~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk0_50),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f446,plain,(
% 0.21/0.46 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk0_50|~spl0_1)),
% 0.21/0.46 inference(component_clause,[status(thm)],[f445])).
% 0.21/0.46 fof(f448,plain,(
% 0.21/0.46 spl0_0|spl0_1),
% 0.21/0.46 inference(split_clause,[status(thm)],[f425,f442,f445])).
% 0.21/0.46 fof(f449,plain,(
% 0.21/0.46 spl0_2 <=> ssItem(sk0_51)),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f450,plain,(
% 0.21/0.46 ssItem(sk0_51)|~spl0_2),
% 0.21/0.46 inference(component_clause,[status(thm)],[f449])).
% 0.21/0.46 fof(f452,plain,(
% 0.21/0.46 spl0_0|spl0_2),
% 0.21/0.46 inference(split_clause,[status(thm)],[f426,f442,f449])).
% 0.21/0.46 fof(f453,plain,(
% 0.21/0.46 spl0_3 <=> ssItem(sk0_52)),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f454,plain,(
% 0.21/0.46 ssItem(sk0_52)|~spl0_3),
% 0.21/0.46 inference(component_clause,[status(thm)],[f453])).
% 0.21/0.46 fof(f456,plain,(
% 0.21/0.46 spl0_0|spl0_3),
% 0.21/0.46 inference(split_clause,[status(thm)],[f427,f442,f453])).
% 0.21/0.46 fof(f457,plain,(
% 0.21/0.46 spl0_4 <=> ssList(sk0_53)),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f458,plain,(
% 0.21/0.46 ssList(sk0_53)|~spl0_4),
% 0.21/0.46 inference(component_clause,[status(thm)],[f457])).
% 0.21/0.46 fof(f460,plain,(
% 0.21/0.46 spl0_0|spl0_4),
% 0.21/0.46 inference(split_clause,[status(thm)],[f428,f442,f457])).
% 0.21/0.46 fof(f461,plain,(
% 0.21/0.46 spl0_5 <=> app(app(cons(sk0_51,nil),cons(sk0_52,nil)),sk0_53)=sk0_48),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f464,plain,(
% 0.21/0.46 spl0_0|spl0_5),
% 0.21/0.46 inference(split_clause,[status(thm)],[f429,f442,f461])).
% 0.21/0.46 fof(f495,plain,(
% 0.21/0.46 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,app(app(cons(X2,nil),cons(X3,nil)),X4),app(app(cons(X3,nil),cons(X2,nil)),X4))|~ssItem(X2)|~ssItem(X3)|~ssList(X4))),
% 0.21/0.46 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.21/0.46 fof(f498,plain,(
% 0.21/0.46 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.21/0.46 inference(forward_demodulation,[status(thm)],[f423,f443])).
% 0.21/0.46 fof(f499,plain,(
% 0.21/0.46 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.21/0.46 inference(forward_demodulation,[status(thm)],[f424,f498])).
% 0.21/0.46 fof(f501,plain,(
% 0.21/0.46 app(app(cons(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47),nil),cons(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_59(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_48|~spl0_0),
% 0.21/0.46 inference(resolution,[status(thm)],[f440,f499])).
% 0.21/0.46 fof(f502,plain,(
% 0.21/0.46 app(app(cons(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47),nil),cons(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_59(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_47|~spl0_0),
% 0.21/0.46 inference(resolution,[status(thm)],[f441,f499])).
% 0.21/0.46 fof(f531,plain,(
% 0.21/0.46 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~app(app(cons(X0,nil),cons(X1,nil)),X2)=sk0_48|~spl0_1)),
% 0.21/0.46 inference(forward_demodulation,[status(thm)],[f423,f446])).
% 0.21/0.46 fof(f545,plain,(
% 0.21/0.46 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~app(app(cons(X0,nil),cons(X1,nil)),sk0_53)=sk0_48|~spl0_1|~spl0_4)),
% 0.21/0.46 inference(resolution,[status(thm)],[f531,f458])).
% 0.21/0.46 fof(f551,plain,(
% 0.21/0.46 ![X0]: (~ssItem(X0)|~app(app(cons(X0,nil),cons(sk0_52,nil)),sk0_53)=sk0_48|~spl0_1|~spl0_4|~spl0_3)),
% 0.21/0.46 inference(resolution,[status(thm)],[f545,f454])).
% 0.21/0.46 fof(f570,plain,(
% 0.21/0.46 spl0_14 <=> ssItem(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f572,plain,(
% 0.21/0.46 ~ssItem(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_14),
% 0.21/0.46 inference(component_clause,[status(thm)],[f570])).
% 0.21/0.46 fof(f573,plain,(
% 0.21/0.46 spl0_15 <=> ssItem(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f575,plain,(
% 0.21/0.46 ~ssItem(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_15),
% 0.21/0.46 inference(component_clause,[status(thm)],[f573])).
% 0.21/0.46 fof(f576,plain,(
% 0.21/0.46 spl0_16 <=> ssList(sk0_59(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f578,plain,(
% 0.21/0.46 ~ssList(sk0_59(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_16),
% 0.21/0.46 inference(component_clause,[status(thm)],[f576])).
% 0.21/0.46 fof(f581,plain,(
% 0.21/0.46 spl0_17 <=> ~pd0_0(X0,X1,sk0_48,app(app(cons(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47),nil),cons(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_59(sk0_48,sk0_47,sk0_48,sk0_47)))),
% 0.21/0.46 introduced(split_symbol_definition)).
% 0.21/0.46 fof(f582,plain,(
% 0.21/0.46 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(app(cons(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47),nil),cons(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_59(sk0_48,sk0_47,sk0_48,sk0_47)))|~spl0_17)),
% 0.21/0.46 inference(component_clause,[status(thm)],[f581])).
% 0.21/0.46 fof(f584,plain,(
% 0.21/0.46 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(app(cons(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47),nil),cons(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_59(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssItem(sk0_57(sk0_48,sk0_47,sk0_48,sk0_47))|~ssItem(sk0_58(sk0_48,sk0_47,sk0_48,sk0_47))|~ssList(sk0_59(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0)),
% 0.21/0.46 inference(paramodulation,[status(thm)],[f501,f495])).
% 0.21/0.46 fof(f585,plain,(
% 0.21/0.46 spl0_17|~spl0_15|~spl0_14|~spl0_16|~spl0_0),
% 0.21/0.46 inference(split_clause,[status(thm)],[f584,f581,f573,f570,f576,f442])).
% 0.21/0.46 fof(f601,plain,(
% 0.21/0.46 ~app(app(cons(sk0_51,nil),cons(sk0_52,nil)),sk0_53)=sk0_48|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.21/0.46 inference(resolution,[status(thm)],[f551,f450])).
% 0.21/0.46 fof(f602,plain,(
% 0.21/0.46 ~spl0_5|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.21/0.46 inference(split_clause,[status(thm)],[f601,f461,f445,f457,f453,f449])).
% 0.21/0.46 fof(f612,plain,(
% 0.21/0.46 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_16),
% 0.21/0.46 inference(resolution,[status(thm)],[f578,f439])).
% 0.21/0.46 fof(f613,plain,(
% 0.21/0.46 $false|~spl0_0|spl0_16),
% 0.21/0.46 inference(forward_subsumption_resolution,[status(thm)],[f612,f499])).
% 0.21/0.46 fof(f614,plain,(
% 0.21/0.46 ~spl0_0|spl0_16),
% 0.21/0.46 inference(contradiction_clause,[status(thm)],[f613])).
% 0.21/0.46 fof(f615,plain,(
% 0.21/0.46 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_14),
% 0.21/0.46 inference(resolution,[status(thm)],[f572,f438])).
% 0.21/0.46 fof(f616,plain,(
% 0.21/0.46 $false|~spl0_0|spl0_14),
% 0.21/0.46 inference(forward_subsumption_resolution,[status(thm)],[f615,f499])).
% 0.21/0.46 fof(f617,plain,(
% 0.21/0.46 ~spl0_0|spl0_14),
% 0.21/0.46 inference(contradiction_clause,[status(thm)],[f616])).
% 0.21/0.46 fof(f618,plain,(
% 0.21/0.46 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_15),
% 0.21/0.46 inference(resolution,[status(thm)],[f575,f437])).
% 0.21/0.46 fof(f619,plain,(
% 0.21/0.46 $false|~spl0_0|spl0_15),
% 0.21/0.46 inference(forward_subsumption_resolution,[status(thm)],[f618,f499])).
% 0.21/0.46 fof(f620,plain,(
% 0.21/0.46 ~spl0_0|spl0_15),
% 0.21/0.46 inference(contradiction_clause,[status(thm)],[f619])).
% 0.21/0.46 fof(f639,plain,(
% 0.21/0.46 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_0|~spl0_17)),
% 0.21/0.46 inference(forward_demodulation,[status(thm)],[f502,f582])).
% 0.21/0.46 fof(f640,plain,(
% 0.21/0.46 $false|~spl0_17|~spl0_0),
% 0.21/0.46 inference(backward_subsumption_resolution,[status(thm)],[f499,f639])).
% 0.21/0.46 fof(f641,plain,(
% 0.21/0.46 ~spl0_17|~spl0_0),
% 0.21/0.46 inference(contradiction_clause,[status(thm)],[f640])).
% 0.21/0.46 fof(f642,plain,(
% 0.21/0.46 $false),
% 0.21/0.46 inference(sat_refutation,[status(thm)],[f448,f452,f456,f460,f464,f585,f602,f614,f617,f620,f641])).
% 0.21/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.46 % Elapsed time: 0.107330 seconds
% 0.21/0.46 % CPU time: 0.618908 seconds
% 0.21/0.46 % Total memory used: 70.935 MB
% 0.21/0.46 % Net memory used: 70.603 MB
%------------------------------------------------------------------------------