TSTP Solution File: SWC010+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC010+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:38:51 EDT 2023
% Result : Theorem 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWC010+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.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 11:38:28 EDT 2023
% 0.14/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.33 % Refutation found
% 0.14/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.33 fof(f1,axiom,(
% 0.14/0.33 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f2,axiom,(
% 0.14/0.33 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f17,axiom,(
% 0.14/0.33 ssList(nil) ),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f96,conjecture,(
% 0.14/0.33 (! [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)=> (! [X3] :( ssList(X3)=> (! [X4] :( ssList(X4)=> ( app(app(X3,cons(X2,nil)),X4) != X| app(X3,X4) != W| (? [X5] :( ssItem(X5)& X2 != X5& memberP(X,X5)& geq(X5,X2) ) )) ) )) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f97,negated_conjecture,(
% 0.14/0.33 ~((! [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)=> (! [X3] :( ssList(X3)=> (! [X4] :( ssList(X4)=> ( app(app(X3,cons(X2,nil)),X4) != X| app(X3,X4) != W| (? [X5] :( ssItem(X5)& X2 != X5& memberP(X,X5)& geq(X5,X2) ) )) ) )) )) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.14/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.33 fof(f98,plain,(
% 0.14/0.33 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.33 fof(f99,plain,(
% 0.14/0.33 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.33 inference(NNF_transformation,[status(esa)],[f98])).
% 0.14/0.33 fof(f100,plain,(
% 0.14/0.33 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.33 fof(f101,plain,(
% 0.14/0.33 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.33 fof(f102,plain,(
% 0.14/0.33 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.14/0.33 inference(skolemization,[status(esa)],[f2])).
% 0.14/0.33 fof(f103,plain,(
% 0.14/0.33 ssItem(sk0_0)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.33 fof(f223,plain,(
% 0.14/0.33 ssList(nil)),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.33 fof(f415,plain,(
% 0.14/0.33 (?[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)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&((app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W)&(![X5]: (((~ssItem(X5)|X2=X5)|~memberP(X,X5))|~geq(X5,X2)))))))))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.33 fof(f416,plain,(
% 0.14/0.33 ![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)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&((app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W)&(![X5]: (((~ssItem(X5)|X2=X5)|~memberP(X,X5))|~geq(X5,X2))))))))))))),
% 0.14/0.33 introduced(predicate_definition,[f415])).
% 0.14/0.33 fof(f417,plain,(
% 0.14/0.33 ?[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)))))))))))),
% 0.14/0.33 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.33 fof(f418,plain,(
% 0.14/0.33 (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))))))))),
% 0.14/0.33 inference(skolemization,[status(esa)],[f417])).
% 0.14/0.33 fof(f423,plain,(
% 0.14/0.33 sk0_48=sk0_50),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.33 fof(f424,plain,(
% 0.14/0.33 sk0_47=sk0_49),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.33 fof(f425,plain,(
% 0.14/0.33 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)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&((app(app(X3,cons(X2,nil)),X4)=X&app(X3,X4)=W)&(![X5]: (((~ssItem(X5)|X2=X5)|~memberP(X,X5))|~geq(X5,X2))))))))))))),
% 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)))))))&(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)&(![X5]: (((~ssItem(X5)|sk0_51(X,W,V,U)=X5)|~memberP(X,X5))|~geq(X5,sk0_51(X,W,V,U))))))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f427])).
% 0.14/0.36 fof(f430,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)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.36 fof(f431,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.36 fof(f432,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssList(sk0_52(X0,X1,X2,X3)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.36 fof(f433,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)],[f428])).
% 0.14/0.36 fof(f434,plain,(
% 0.14/0.36 ![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)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.36 fof(f435,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(sk0_52(X0,X1,X2,X3),sk0_53(X0,X1,X2,X3))=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.36 fof(f437,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(f438,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)],[f437])).
% 0.14/0.36 fof(f440,plain,(
% 0.14/0.36 spl0_1 <=> neq(sk0_48,nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f441,plain,(
% 0.14/0.36 neq(sk0_48,nil)|~spl0_1),
% 0.14/0.36 inference(component_clause,[status(thm)],[f440])).
% 0.14/0.36 fof(f443,plain,(
% 0.14/0.36 spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f425,f437,f440])).
% 0.14/0.36 fof(f444,plain,(
% 0.14/0.36 spl0_2 <=> neq(sk0_50,nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f446,plain,(
% 0.14/0.36 ~neq(sk0_50,nil)|spl0_2),
% 0.14/0.36 inference(component_clause,[status(thm)],[f444])).
% 0.14/0.36 fof(f447,plain,(
% 0.14/0.36 spl0_0|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f426,f437,f444])).
% 0.14/0.36 fof(f448,plain,(
% 0.14/0.36 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.14/0.36 fof(f449,plain,(
% 0.14/0.36 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.14/0.36 inference(duplicate_literals_removal,[status(esa)],[f448])).
% 0.14/0.36 fof(f478,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))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f430])).
% 0.14/0.36 fof(f487,plain,(
% 0.14/0.36 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f103,f101])).
% 0.14/0.36 fof(f489,plain,(
% 0.14/0.36 ~neq(sk0_0,sk0_0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f103,f449])).
% 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,f446])).
% 0.14/0.36 fof(f494,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,f438])).
% 0.14/0.36 fof(f495,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,f494])).
% 0.14/0.36 fof(f499,plain,(
% 0.14/0.36 $false|spl0_2|~spl0_1),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f441,f493])).
% 0.14/0.36 fof(f500,plain,(
% 0.14/0.36 spl0_2|~spl0_1),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f499])).
% 0.14/0.36 fof(f502,plain,(
% 0.14/0.36 ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f431,f495])).
% 0.14/0.36 fof(f521,plain,(
% 0.14/0.36 ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f432,f495])).
% 0.14/0.36 fof(f524,plain,(
% 0.14/0.36 ![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(X2,X3))|~ssList(X2)|~ssList(X3)|~spl0_0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f478,f502])).
% 0.14/0.36 fof(f542,plain,(
% 0.14/0.36 spl0_7 <=> ssList(nil)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f544,plain,(
% 0.14/0.36 ~ssList(nil)|spl0_7),
% 0.14/0.36 inference(component_clause,[status(thm)],[f542])).
% 0.14/0.36 fof(f547,plain,(
% 0.14/0.36 $false|spl0_7),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f544,f223])).
% 0.14/0.36 fof(f548,plain,(
% 0.14/0.36 spl0_7),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f547])).
% 0.14/0.36 fof(f559,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)],[f433,f495])).
% 0.14/0.36 fof(f561,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,app(app(X2,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_53(sk0_48,sk0_47,sk0_48,sk0_47)),app(X2,sk0_53(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssList(X2)|~spl0_0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f559,f524])).
% 0.14/0.36 fof(f570,plain,(
% 0.14/0.36 app(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_47|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f435,f495])).
% 0.14/0.36 fof(f586,plain,(
% 0.14/0.36 app(app(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),sk0_53(sk0_48,sk0_47,sk0_48,sk0_47))=sk0_48|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f434,f495])).
% 0.14/0.36 fof(f600,plain,(
% 0.14/0.36 spl0_11 <=> ssItem(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f602,plain,(
% 0.14/0.36 ~ssItem(sk0_0)|spl0_11),
% 0.14/0.36 inference(component_clause,[status(thm)],[f600])).
% 0.14/0.36 fof(f603,plain,(
% 0.14/0.36 spl0_12 <=> sk0_0=sk0_0),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f606,plain,(
% 0.14/0.36 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f487,f489])).
% 0.14/0.36 fof(f607,plain,(
% 0.14/0.36 ~spl0_11|spl0_12),
% 0.14/0.36 inference(split_clause,[status(thm)],[f606,f600,f603])).
% 0.14/0.36 fof(f613,plain,(
% 0.14/0.36 $false|spl0_11),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f602,f103])).
% 0.14/0.36 fof(f614,plain,(
% 0.14/0.36 spl0_11),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f613])).
% 0.14/0.36 fof(f643,plain,(
% 0.14/0.36 spl0_17 <=> ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f645,plain,(
% 0.14/0.36 ~ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_17),
% 0.14/0.36 inference(component_clause,[status(thm)],[f643])).
% 0.14/0.36 fof(f648,plain,(
% 0.14/0.36 $false|~spl0_0|spl0_17),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f645,f521])).
% 0.14/0.36 fof(f649,plain,(
% 0.14/0.36 ~spl0_0|spl0_17),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f648])).
% 0.14/0.36 fof(f714,plain,(
% 0.14/0.36 spl0_22 <=> ~pd0_0(X0,X1,sk0_48,app(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_53(sk0_48,sk0_47,sk0_48,sk0_47)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f715,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_53(sk0_48,sk0_47,sk0_48,sk0_47)))|~spl0_22)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f714])).
% 0.14/0.36 fof(f717,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,app(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47),sk0_53(sk0_48,sk0_47,sk0_48,sk0_47)))|~ssList(sk0_52(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0)),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f586,f561])).
% 0.14/0.36 fof(f718,plain,(
% 0.14/0.36 spl0_22|~spl0_17|~spl0_0),
% 0.14/0.36 inference(split_clause,[status(thm)],[f717,f714,f643,f437])).
% 0.14/0.36 fof(f727,plain,(
% 0.14/0.36 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_0|~spl0_22)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f570,f715])).
% 0.14/0.36 fof(f743,plain,(
% 0.14/0.36 $false|~spl0_22|~spl0_0),
% 0.14/0.36 inference(backward_subsumption_resolution,[status(thm)],[f495,f727])).
% 0.14/0.36 fof(f744,plain,(
% 0.14/0.36 ~spl0_22|~spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f743])).
% 0.14/0.36 fof(f745,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f443,f447,f500,f548,f607,f614,f649,f718,f744])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.59 % Elapsed time: 0.048401 seconds
% 0.14/0.59 % CPU time: 0.026797 seconds
% 0.14/0.59 % Memory used: 4.377 MB
%------------------------------------------------------------------------------