TSTP Solution File: SWC030+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC030+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:44:14 EDT 2024
% Result : Theorem 0.08s 0.28s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : SWC030+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n008.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Apr 30 00:04:27 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.6.0
% 0.08/0.28 % Refutation found
% 0.08/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.28 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.28 fof(f3,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f17,axiom,(
% 0.08/0.28 ssList(nil) ),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f26,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f28,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f79,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f80,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f82,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f83,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f84,axiom,(
% 0.08/0.28 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f96,conjecture,(
% 0.08/0.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(Y,Z) != X| app(Z,Y) != W ) ) )))| ( ( nil != V| nil = U )& ( nil != U| nil = V ) ) ) ) )) )) )) )),
% 0.08/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.28 fof(f97,negated_conjecture,(
% 0.08/0.28 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(Y,Z) != X| app(Z,Y) != W ) ) )))| ( ( nil != V| nil = U )& ( nil != U| nil = V ) ) ) ) )) )) )) ))),
% 0.08/0.28 inference(negated_conjecture,[status(cth)],[f96])).
% 0.08/0.28 fof(f106,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.08/0.28 fof(f107,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.08/0.28 inference(NNF_transformation,[status(esa)],[f106])).
% 0.08/0.28 fof(f108,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.08/0.28 inference(skolemization,[status(esa)],[f107])).
% 0.08/0.28 fof(f111,plain,(
% 0.08/0.28 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f108])).
% 0.08/0.28 fof(f223,plain,(
% 0.08/0.28 ssList(nil)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f17])).
% 0.08/0.28 fof(f244,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.08/0.28 fof(f245,plain,(
% 0.08/0.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f244])).
% 0.08/0.28 fof(f248,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.08/0.28 fof(f249,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f248])).
% 0.08/0.28 fof(f375,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.08/0.28 fof(f376,plain,(
% 0.08/0.28 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f375])).
% 0.08/0.28 fof(f377,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.08/0.28 fof(f378,plain,(
% 0.08/0.28 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f377])).
% 0.08/0.28 fof(f381,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.08/0.28 fof(f382,plain,(
% 0.08/0.28 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f381])).
% 0.08/0.28 fof(f383,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.08/0.28 fof(f384,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.08/0.28 inference(NNF_transformation,[status(esa)],[f383])).
% 0.08/0.28 fof(f385,plain,(
% 0.08/0.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f384])).
% 0.08/0.28 fof(f386,plain,(
% 0.08/0.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f384])).
% 0.08/0.28 fof(f388,plain,(
% 0.08/0.28 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.08/0.28 fof(f389,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f388])).
% 0.08/0.28 fof(f415,plain,(
% 0.08/0.28 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(app(Y,Z)=X&app(Z,Y)=W))))))&((nil=V&~nil=U)|(nil=U&~nil=V)))))))))))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.08/0.28 fof(f416,plain,(
% 0.08/0.28 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.08/0.28 introduced(predicate_definition,[f415])).
% 0.08/0.28 fof(f417,plain,(
% 0.08/0.28 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(app(Y,Z)=X&app(Z,Y)=W))))))&(pd0_0(V,U)|(nil=U&~nil=V))))))))))),
% 0.08/0.28 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.08/0.28 fof(f418,plain,(
% 0.08/0.28 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&(ssList(sk0_52)&(app(sk0_51,sk0_52)=sk0_50&app(sk0_52,sk0_51)=sk0_49))))&(pd0_0(sk0_48,sk0_47)|(nil=sk0_47&~nil=sk0_48)))))))),
% 0.08/0.28 inference(skolemization,[status(esa)],[f417])).
% 0.08/0.28 fof(f423,plain,(
% 0.08/0.28 sk0_48=sk0_50),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f424,plain,(
% 0.08/0.28 sk0_47=sk0_49),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f425,plain,(
% 0.08/0.28 ssList(sk0_51)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f426,plain,(
% 0.08/0.28 ssList(sk0_52)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f427,plain,(
% 0.08/0.28 app(sk0_51,sk0_52)=sk0_50),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f428,plain,(
% 0.08/0.28 app(sk0_52,sk0_51)=sk0_49),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f429,plain,(
% 0.08/0.28 pd0_0(sk0_48,sk0_47)|nil=sk0_47),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f430,plain,(
% 0.08/0.28 pd0_0(sk0_48,sk0_47)|~nil=sk0_48),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f418])).
% 0.08/0.28 fof(f431,plain,(
% 0.08/0.28 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.08/0.28 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.08/0.28 fof(f432,plain,(
% 0.08/0.28 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f431])).
% 0.08/0.28 fof(f433,plain,(
% 0.08/0.28 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.08/0.28 inference(cnf_transformation,[status(esa)],[f431])).
% 0.08/0.28 fof(f434,plain,(
% 0.08/0.28 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f435,plain,(
% 0.08/0.28 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 0.08/0.28 inference(component_clause,[status(thm)],[f434])).
% 0.08/0.28 fof(f437,plain,(
% 0.08/0.28 spl0_1 <=> nil=sk0_47),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f438,plain,(
% 0.08/0.28 nil=sk0_47|~spl0_1),
% 0.08/0.28 inference(component_clause,[status(thm)],[f437])).
% 0.08/0.28 fof(f440,plain,(
% 0.08/0.28 spl0_0|spl0_1),
% 0.08/0.28 inference(split_clause,[status(thm)],[f429,f434,f437])).
% 0.08/0.28 fof(f441,plain,(
% 0.08/0.28 spl0_2 <=> nil=sk0_48),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f443,plain,(
% 0.08/0.28 ~nil=sk0_48|spl0_2),
% 0.08/0.28 inference(component_clause,[status(thm)],[f441])).
% 0.08/0.28 fof(f444,plain,(
% 0.08/0.28 spl0_0|~spl0_2),
% 0.08/0.28 inference(split_clause,[status(thm)],[f430,f434,f441])).
% 0.08/0.28 fof(f475,plain,(
% 0.08/0.28 ![X0]: (~pd0_0(X0,nil))),
% 0.08/0.28 inference(destructive_equality_resolution,[status(esa)],[f433])).
% 0.08/0.28 fof(f478,plain,(
% 0.08/0.28 app(sk0_51,sk0_52)=sk0_48),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.08/0.28 fof(f479,plain,(
% 0.08/0.28 app(sk0_52,sk0_51)=sk0_47),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f424,f428])).
% 0.08/0.28 fof(f480,plain,(
% 0.08/0.28 spl0_3 <=> ssList(sk0_52)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f482,plain,(
% 0.08/0.28 ~ssList(sk0_52)|spl0_3),
% 0.08/0.28 inference(component_clause,[status(thm)],[f480])).
% 0.08/0.28 fof(f483,plain,(
% 0.08/0.28 spl0_4 <=> ssList(sk0_51)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f485,plain,(
% 0.08/0.28 ~ssList(sk0_51)|spl0_4),
% 0.08/0.28 inference(component_clause,[status(thm)],[f483])).
% 0.08/0.28 fof(f486,plain,(
% 0.08/0.28 spl0_5 <=> ssList(sk0_47)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f489,plain,(
% 0.08/0.28 ~ssList(sk0_52)|~ssList(sk0_51)|ssList(sk0_47)),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f479,f245])).
% 0.08/0.28 fof(f490,plain,(
% 0.08/0.28 ~spl0_3|~spl0_4|spl0_5),
% 0.08/0.28 inference(split_clause,[status(thm)],[f489,f480,f483,f486])).
% 0.08/0.28 fof(f491,plain,(
% 0.08/0.28 spl0_6 <=> ssList(sk0_48)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f494,plain,(
% 0.08/0.28 ~ssList(sk0_51)|~ssList(sk0_52)|ssList(sk0_48)),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f478,f245])).
% 0.08/0.28 fof(f495,plain,(
% 0.08/0.28 ~spl0_4|~spl0_3|spl0_6),
% 0.08/0.28 inference(split_clause,[status(thm)],[f494,f483,f480,f491])).
% 0.08/0.28 fof(f496,plain,(
% 0.08/0.28 $false|spl0_3),
% 0.08/0.28 inference(forward_subsumption_resolution,[status(thm)],[f482,f426])).
% 0.08/0.28 fof(f497,plain,(
% 0.08/0.28 spl0_3),
% 0.08/0.28 inference(contradiction_clause,[status(thm)],[f496])).
% 0.08/0.28 fof(f498,plain,(
% 0.08/0.28 $false|spl0_4),
% 0.08/0.28 inference(forward_subsumption_resolution,[status(thm)],[f485,f425])).
% 0.08/0.28 fof(f499,plain,(
% 0.08/0.28 spl0_4),
% 0.08/0.28 inference(contradiction_clause,[status(thm)],[f498])).
% 0.08/0.28 fof(f500,plain,(
% 0.08/0.28 spl0_7 <=> ~ssList(X0)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f503,plain,(
% 0.08/0.28 spl0_8 <=> ssList(nil)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f505,plain,(
% 0.08/0.28 ~ssList(nil)|spl0_8),
% 0.08/0.28 inference(component_clause,[status(thm)],[f503])).
% 0.08/0.28 fof(f506,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.08/0.28 inference(resolution,[status(thm)],[f376,f389])).
% 0.08/0.28 fof(f507,plain,(
% 0.08/0.28 spl0_7|~spl0_8),
% 0.08/0.28 inference(split_clause,[status(thm)],[f506,f500,f503])).
% 0.08/0.28 fof(f510,plain,(
% 0.08/0.28 spl0_9 <=> ~ssList(X0)|~sk0_47=app(X0,sk0_51)|sk0_52=X0),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f513,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|~ssList(sk0_51)|~ssList(sk0_52)|~sk0_47=app(X0,sk0_51)|sk0_52=X0)),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f479,f376])).
% 0.08/0.28 fof(f514,plain,(
% 0.08/0.28 spl0_9|~spl0_4|~spl0_3),
% 0.08/0.28 inference(split_clause,[status(thm)],[f513,f510,f483,f480])).
% 0.08/0.28 fof(f515,plain,(
% 0.08/0.28 spl0_10 <=> ~ssList(X0)|~sk0_48=app(X0,sk0_52)|sk0_51=X0),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f516,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|~sk0_48=app(X0,sk0_52)|sk0_51=X0|~spl0_10)),
% 0.08/0.28 inference(component_clause,[status(thm)],[f515])).
% 0.08/0.28 fof(f518,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|~ssList(sk0_52)|~ssList(sk0_51)|~sk0_48=app(X0,sk0_52)|sk0_51=X0)),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f478,f376])).
% 0.08/0.28 fof(f519,plain,(
% 0.08/0.28 spl0_10|~spl0_3|~spl0_4),
% 0.08/0.28 inference(split_clause,[status(thm)],[f518,f515,f480,f483])).
% 0.08/0.28 fof(f532,plain,(
% 0.08/0.28 $false|spl0_8),
% 0.08/0.28 inference(forward_subsumption_resolution,[status(thm)],[f505,f223])).
% 0.08/0.28 fof(f533,plain,(
% 0.08/0.28 spl0_8),
% 0.08/0.28 inference(contradiction_clause,[status(thm)],[f532])).
% 0.08/0.28 fof(f535,plain,(
% 0.08/0.28 nil=sk0_48|~spl0_0),
% 0.08/0.28 inference(resolution,[status(thm)],[f435,f432])).
% 0.08/0.28 fof(f554,plain,(
% 0.08/0.28 pd0_0(nil,sk0_47)|~spl0_0),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f535,f435])).
% 0.08/0.28 fof(f565,plain,(
% 0.08/0.28 spl0_15 <=> sk0_51=sk0_51),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f570,plain,(
% 0.08/0.28 spl0_16 <=> nil=nil),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f593,plain,(
% 0.08/0.28 ~ssList(sk0_51)|sk0_51=sk0_51|~spl0_10),
% 0.08/0.28 inference(resolution,[status(thm)],[f478,f516])).
% 0.08/0.28 fof(f594,plain,(
% 0.08/0.28 ~spl0_4|spl0_15|~spl0_10),
% 0.08/0.28 inference(split_clause,[status(thm)],[f593,f483,f565,f515])).
% 0.08/0.28 fof(f608,plain,(
% 0.08/0.28 app(sk0_51,sk0_52)=nil|~spl0_0),
% 0.08/0.28 inference(backward_demodulation,[status(thm)],[f535,f478])).
% 0.08/0.28 fof(f624,plain,(
% 0.08/0.28 spl0_19 <=> nil=sk0_52),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f625,plain,(
% 0.08/0.28 nil=sk0_52|~spl0_19),
% 0.08/0.28 inference(component_clause,[status(thm)],[f624])).
% 0.08/0.28 fof(f627,plain,(
% 0.08/0.28 ~ssList(sk0_51)|~ssList(sk0_52)|nil=sk0_52|~spl0_0),
% 0.08/0.28 inference(resolution,[status(thm)],[f385,f608])).
% 0.08/0.28 fof(f628,plain,(
% 0.08/0.28 ~spl0_4|~spl0_3|spl0_19|~spl0_0),
% 0.08/0.28 inference(split_clause,[status(thm)],[f627,f483,f480,f624,f434])).
% 0.08/0.28 fof(f629,plain,(
% 0.08/0.28 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.08/0.28 inference(resolution,[status(thm)],[f385,f249])).
% 0.08/0.28 fof(f630,plain,(
% 0.08/0.28 ~spl0_8|spl0_16),
% 0.08/0.28 inference(split_clause,[status(thm)],[f629,f503,f570])).
% 0.08/0.28 fof(f633,plain,(
% 0.08/0.28 spl0_20 <=> nil=sk0_51),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f634,plain,(
% 0.08/0.28 nil=sk0_51|~spl0_20),
% 0.08/0.28 inference(component_clause,[status(thm)],[f633])).
% 0.08/0.28 fof(f636,plain,(
% 0.08/0.28 ~ssList(sk0_52)|~ssList(sk0_51)|~nil=sk0_47|nil=sk0_51),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f479,f385])).
% 0.08/0.28 fof(f637,plain,(
% 0.08/0.28 ~spl0_3|~spl0_4|~spl0_1|spl0_20),
% 0.08/0.28 inference(split_clause,[status(thm)],[f636,f480,f483,f437,f633])).
% 0.08/0.28 fof(f640,plain,(
% 0.08/0.28 spl0_21 <=> ~ssList(X0)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f643,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.08/0.28 inference(resolution,[status(thm)],[f378,f249])).
% 0.08/0.28 fof(f644,plain,(
% 0.08/0.28 spl0_21|~spl0_8),
% 0.08/0.28 inference(split_clause,[status(thm)],[f643,f640,f503])).
% 0.08/0.28 fof(f647,plain,(
% 0.08/0.28 spl0_22 <=> ~ssList(X0)|~sk0_47=app(sk0_52,X0)|sk0_51=X0),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f650,plain,(
% 0.08/0.28 ![X0]: (~ssList(X0)|~ssList(sk0_52)|~ssList(sk0_51)|~sk0_47=app(sk0_52,X0)|sk0_51=X0)),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f479,f378])).
% 0.08/0.28 fof(f651,plain,(
% 0.08/0.28 spl0_22|~spl0_3|~spl0_4),
% 0.08/0.28 inference(split_clause,[status(thm)],[f650,f647,f480,f483])).
% 0.08/0.28 fof(f664,plain,(
% 0.08/0.28 ~ssList(sk0_51)|~ssList(sk0_52)|nil=sk0_51|~spl0_0),
% 0.08/0.28 inference(resolution,[status(thm)],[f386,f608])).
% 0.08/0.28 fof(f665,plain,(
% 0.08/0.28 ~spl0_4|~spl0_3|spl0_20|~spl0_0),
% 0.08/0.28 inference(split_clause,[status(thm)],[f664,f483,f480,f633,f434])).
% 0.08/0.28 fof(f670,plain,(
% 0.08/0.28 ~ssList(sk0_52)|~ssList(sk0_51)|~nil=sk0_47|nil=sk0_52),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f479,f386])).
% 0.08/0.28 fof(f671,plain,(
% 0.08/0.28 ~spl0_3|~spl0_4|~spl0_1|spl0_19),
% 0.08/0.28 inference(split_clause,[status(thm)],[f670,f480,f483,f437,f624])).
% 0.08/0.28 fof(f674,plain,(
% 0.08/0.28 spl0_24 <=> ~ssList(X0)|app(sk0_47,X0)=app(sk0_52,app(sk0_51,X0))),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f677,plain,(
% 0.08/0.28 ![X0]: (~ssList(sk0_52)|~ssList(sk0_51)|~ssList(X0)|app(sk0_47,X0)=app(sk0_52,app(sk0_51,X0)))),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f479,f382])).
% 0.08/0.28 fof(f678,plain,(
% 0.08/0.28 ~spl0_3|~spl0_4|spl0_24),
% 0.08/0.28 inference(split_clause,[status(thm)],[f677,f480,f483,f674])).
% 0.08/0.28 fof(f684,plain,(
% 0.08/0.28 spl0_26 <=> ~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f687,plain,(
% 0.08/0.28 ![X0]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil))),
% 0.08/0.28 inference(resolution,[status(thm)],[f111,f386])).
% 0.08/0.28 fof(f688,plain,(
% 0.08/0.28 ~spl0_8|spl0_26),
% 0.08/0.28 inference(split_clause,[status(thm)],[f687,f503,f684])).
% 0.08/0.28 fof(f689,plain,(
% 0.08/0.28 spl0_27 <=> ~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))),
% 0.08/0.28 introduced(split_symbol_definition)).
% 0.08/0.28 fof(f692,plain,(
% 0.08/0.28 ![X0]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil)))),
% 0.08/0.28 inference(resolution,[status(thm)],[f111,f385])).
% 0.08/0.28 fof(f693,plain,(
% 0.08/0.28 ~spl0_8|spl0_27),
% 0.08/0.28 inference(split_clause,[status(thm)],[f692,f503,f689])).
% 0.08/0.28 fof(f694,plain,(
% 0.08/0.28 app(nil,sk0_51)=sk0_47|~spl0_19),
% 0.08/0.28 inference(backward_demodulation,[status(thm)],[f625,f479])).
% 0.08/0.28 fof(f698,plain,(
% 0.08/0.28 app(nil,nil)=sk0_47|~spl0_20|~spl0_19),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f634,f694])).
% 0.08/0.28 fof(f699,plain,(
% 0.08/0.28 ~ssList(nil)|sk0_47=nil|~spl0_20|~spl0_19),
% 0.08/0.28 inference(paramodulation,[status(thm)],[f698,f249])).
% 0.08/0.28 fof(f700,plain,(
% 0.08/0.28 ~spl0_8|spl0_1|~spl0_20|~spl0_19),
% 0.08/0.28 inference(split_clause,[status(thm)],[f699,f503,f437,f633,f624])).
% 0.08/0.28 fof(f736,plain,(
% 0.08/0.28 app(nil,nil)=nil|~spl0_1|~spl0_20|~spl0_19),
% 0.08/0.28 inference(backward_demodulation,[status(thm)],[f438,f698])).
% 0.08/0.28 fof(f739,plain,(
% 0.08/0.28 pd0_0(nil,nil)|~spl0_1|~spl0_0),
% 0.08/0.28 inference(backward_demodulation,[status(thm)],[f438,f554])).
% 0.08/0.28 fof(f740,plain,(
% 0.08/0.28 $false|~spl0_1|~spl0_0),
% 0.08/0.28 inference(forward_subsumption_resolution,[status(thm)],[f739,f475])).
% 0.08/0.28 fof(f741,plain,(
% 0.08/0.28 ~spl0_1|~spl0_0),
% 0.08/0.28 inference(contradiction_clause,[status(thm)],[f740])).
% 0.08/0.28 fof(f742,plain,(
% 0.08/0.28 app(nil,sk0_52)=sk0_48|~spl0_20),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f634,f478])).
% 0.08/0.28 fof(f743,plain,(
% 0.08/0.28 app(nil,nil)=sk0_48|~spl0_19|~spl0_20),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f625,f742])).
% 0.08/0.28 fof(f780,plain,(
% 0.08/0.28 nil=sk0_48|~spl0_1|~spl0_19|~spl0_20),
% 0.08/0.28 inference(forward_demodulation,[status(thm)],[f736,f743])).
% 0.08/0.28 fof(f781,plain,(
% 0.08/0.28 $false|spl0_2|~spl0_1|~spl0_19|~spl0_20),
% 0.08/0.28 inference(forward_subsumption_resolution,[status(thm)],[f780,f443])).
% 0.08/0.28 fof(f782,plain,(
% 0.08/0.28 spl0_2|~spl0_1|~spl0_19|~spl0_20),
% 0.08/0.28 inference(contradiction_clause,[status(thm)],[f781])).
% 0.08/0.28 fof(f783,plain,(
% 0.08/0.28 $false),
% 0.08/0.28 inference(sat_refutation,[status(thm)],[f440,f444,f490,f495,f497,f499,f507,f514,f519,f533,f594,f628,f630,f637,f644,f651,f665,f671,f678,f688,f693,f700,f741,f782])).
% 0.08/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.30 % Elapsed time: 0.027318 seconds
% 0.08/0.30 % CPU time: 0.060736 seconds
% 0.08/0.30 % Total memory used: 17.218 MB
% 0.08/0.30 % Net memory used: 17.125 MB
%------------------------------------------------------------------------------