TSTP Solution File: SWC378+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC378+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 : Tue Apr 30 20:45:34 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.10 % 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 Apr 30 00:24:49 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32 fof(f17,axiom,(
% 0.14/0.32 ssList(nil) ),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f26,axiom,(
% 0.14/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f28,axiom,(
% 0.14/0.32 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f36,axiom,(
% 0.14/0.32 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f79,axiom,(
% 0.14/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f80,axiom,(
% 0.14/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f83,axiom,(
% 0.14/0.32 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f84,axiom,(
% 0.14/0.32 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f96,conjecture,(
% 0.14/0.32 (! [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 ) )))| (! [X1] :( ~ ssItem(X1)| ( ~ memberP(V,X1)& ~ memberP(U,X1) )| ( memberP(V,X1)& memberP(U,X1) ) ) )) )) )) )) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f97,negated_conjecture,(
% 0.14/0.32 ~((! [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 ) )))| (! [X1] :( ~ ssItem(X1)| ( ~ memberP(V,X1)& ~ memberP(U,X1) )| ( memberP(V,X1)& memberP(U,X1) ) ) )) )) )) )) ))),
% 0.14/0.32 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.32 fof(f223,plain,(
% 0.14/0.32 ssList(nil)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.32 fof(f244,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.14/0.32 fof(f245,plain,(
% 0.14/0.32 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f244])).
% 0.14/0.32 fof(f248,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.14/0.32 fof(f249,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f248])).
% 0.14/0.32 fof(f268,plain,(
% 0.14/0.32 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.14/0.32 fof(f269,plain,(
% 0.14/0.32 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.14/0.32 inference(NNF_transformation,[status(esa)],[f268])).
% 0.14/0.32 fof(f270,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~memberP(app(X1,X2),X0)|memberP(X1,X0)|memberP(X2,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f269])).
% 0.14/0.32 fof(f271,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f269])).
% 0.14/0.32 fof(f272,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X2,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f269])).
% 0.14/0.32 fof(f375,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.14/0.32 fof(f376,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f375])).
% 0.14/0.32 fof(f377,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.14/0.32 fof(f378,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f377])).
% 0.14/0.32 fof(f383,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.14/0.32 fof(f384,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.14/0.32 inference(NNF_transformation,[status(esa)],[f383])).
% 0.14/0.32 fof(f385,plain,(
% 0.14/0.32 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f384])).
% 0.14/0.32 fof(f388,plain,(
% 0.14/0.32 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.14/0.32 fof(f389,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f388])).
% 0.14/0.32 fof(f415,plain,(
% 0.14/0.32 (?[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)))))&(?[X1]: ((ssItem(X1)&(memberP(V,X1)|memberP(U,X1)))&(~memberP(V,X1)|~memberP(U,X1))))))))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.32 fof(f416,plain,(
% 0.14/0.32 ?[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))))))&(?[X1]: ((ssItem(X1)&(memberP(V,X1)|memberP(U,X1)))&(~memberP(V,X1)|~memberP(U,X1))))))))))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f415])).
% 0.14/0.32 fof(f417,plain,(
% 0.14/0.32 (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)))&((ssItem(sk0_53)&(memberP(sk0_48,sk0_53)|memberP(sk0_47,sk0_53)))&(~memberP(sk0_48,sk0_53)|~memberP(sk0_47,sk0_53)))))))),
% 0.14/0.32 inference(skolemization,[status(esa)],[f416])).
% 0.14/0.32 fof(f422,plain,(
% 0.14/0.32 sk0_48=sk0_50),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f423,plain,(
% 0.14/0.32 sk0_47=sk0_49),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f424,plain,(
% 0.14/0.32 ssList(sk0_51)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f425,plain,(
% 0.14/0.32 ssList(sk0_52)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f426,plain,(
% 0.14/0.32 app(sk0_51,sk0_52)=sk0_50),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f427,plain,(
% 0.14/0.32 app(sk0_52,sk0_51)=sk0_49),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f428,plain,(
% 0.14/0.32 ssItem(sk0_53)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f429,plain,(
% 0.14/0.32 memberP(sk0_48,sk0_53)|memberP(sk0_47,sk0_53)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f430,plain,(
% 0.14/0.32 ~memberP(sk0_48,sk0_53)|~memberP(sk0_47,sk0_53)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f417])).
% 0.14/0.32 fof(f431,plain,(
% 0.14/0.32 spl0_0 <=> memberP(sk0_48,sk0_53)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f432,plain,(
% 0.14/0.32 memberP(sk0_48,sk0_53)|~spl0_0),
% 0.14/0.32 inference(component_clause,[status(thm)],[f431])).
% 0.14/0.32 fof(f434,plain,(
% 0.14/0.32 spl0_1 <=> memberP(sk0_47,sk0_53)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f435,plain,(
% 0.14/0.32 memberP(sk0_47,sk0_53)|~spl0_1),
% 0.14/0.32 inference(component_clause,[status(thm)],[f434])).
% 0.14/0.32 fof(f437,plain,(
% 0.14/0.32 spl0_0|spl0_1),
% 0.14/0.32 inference(split_clause,[status(thm)],[f429,f431,f434])).
% 0.14/0.32 fof(f438,plain,(
% 0.14/0.32 ~spl0_0|~spl0_1),
% 0.14/0.32 inference(split_clause,[status(thm)],[f430,f431,f434])).
% 0.14/0.32 fof(f471,plain,(
% 0.14/0.32 app(sk0_51,sk0_52)=sk0_48),
% 0.14/0.32 inference(forward_demodulation,[status(thm)],[f422,f426])).
% 0.14/0.32 fof(f472,plain,(
% 0.14/0.32 app(sk0_52,sk0_51)=sk0_47),
% 0.14/0.32 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.14/0.32 fof(f473,plain,(
% 0.14/0.32 spl0_2 <=> ssList(sk0_52)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f475,plain,(
% 0.14/0.32 ~ssList(sk0_52)|spl0_2),
% 0.14/0.32 inference(component_clause,[status(thm)],[f473])).
% 0.14/0.32 fof(f476,plain,(
% 0.14/0.32 spl0_3 <=> ssList(sk0_51)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f478,plain,(
% 0.14/0.32 ~ssList(sk0_51)|spl0_3),
% 0.14/0.32 inference(component_clause,[status(thm)],[f476])).
% 0.14/0.32 fof(f479,plain,(
% 0.14/0.32 spl0_4 <=> ssList(sk0_47)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f482,plain,(
% 0.14/0.32 ~ssList(sk0_52)|~ssList(sk0_51)|ssList(sk0_47)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f472,f245])).
% 0.14/0.32 fof(f483,plain,(
% 0.14/0.32 ~spl0_2|~spl0_3|spl0_4),
% 0.14/0.32 inference(split_clause,[status(thm)],[f482,f473,f476,f479])).
% 0.14/0.32 fof(f484,plain,(
% 0.14/0.32 spl0_5 <=> ssList(sk0_48)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f487,plain,(
% 0.14/0.32 ~ssList(sk0_51)|~ssList(sk0_52)|ssList(sk0_48)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f471,f245])).
% 0.14/0.32 fof(f488,plain,(
% 0.14/0.32 ~spl0_3|~spl0_2|spl0_5),
% 0.14/0.32 inference(split_clause,[status(thm)],[f487,f476,f473,f484])).
% 0.14/0.32 fof(f489,plain,(
% 0.14/0.32 $false|spl0_2),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f475,f425])).
% 0.14/0.32 fof(f490,plain,(
% 0.14/0.32 spl0_2),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f489])).
% 0.14/0.32 fof(f491,plain,(
% 0.14/0.32 $false|spl0_3),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f478,f424])).
% 0.14/0.32 fof(f492,plain,(
% 0.14/0.32 spl0_3),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f491])).
% 0.14/0.32 fof(f493,plain,(
% 0.14/0.32 spl0_6 <=> ssList(nil)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f495,plain,(
% 0.14/0.32 ~ssList(nil)|spl0_6),
% 0.14/0.32 inference(component_clause,[status(thm)],[f493])).
% 0.14/0.32 fof(f496,plain,(
% 0.14/0.32 spl0_7 <=> nil=nil),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f499,plain,(
% 0.14/0.32 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.32 inference(resolution,[status(thm)],[f385,f249])).
% 0.14/0.32 fof(f500,plain,(
% 0.14/0.32 ~spl0_6|spl0_7),
% 0.14/0.32 inference(split_clause,[status(thm)],[f499,f493,f496])).
% 0.14/0.32 fof(f519,plain,(
% 0.14/0.32 $false|spl0_6),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f495,f223])).
% 0.14/0.32 fof(f520,plain,(
% 0.14/0.32 spl0_6),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f519])).
% 0.14/0.32 fof(f529,plain,(
% 0.14/0.32 spl0_12 <=> ~ssList(X0)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f532,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(X0,nil))|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.14/0.32 inference(resolution,[status(thm)],[f376,f389])).
% 0.14/0.32 fof(f533,plain,(
% 0.14/0.32 spl0_12|~spl0_6),
% 0.14/0.32 inference(split_clause,[status(thm)],[f532,f529,f493])).
% 0.14/0.32 fof(f536,plain,(
% 0.14/0.32 spl0_13 <=> ~ssList(X0)|~sk0_47=app(X0,sk0_51)|sk0_52=X0),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f537,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~sk0_47=app(X0,sk0_51)|sk0_52=X0|~spl0_13)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f536])).
% 0.14/0.32 fof(f539,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~ssList(sk0_51)|~ssList(sk0_52)|~sk0_47=app(X0,sk0_51)|sk0_52=X0)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f472,f376])).
% 0.14/0.32 fof(f540,plain,(
% 0.14/0.32 spl0_13|~spl0_3|~spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f539,f536,f476,f473])).
% 0.14/0.32 fof(f541,plain,(
% 0.14/0.32 spl0_14 <=> ~ssList(X0)|~sk0_48=app(X0,sk0_52)|sk0_51=X0),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f542,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~sk0_48=app(X0,sk0_52)|sk0_51=X0|~spl0_14)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f541])).
% 0.14/0.32 fof(f544,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~ssList(sk0_52)|~ssList(sk0_51)|~sk0_48=app(X0,sk0_52)|sk0_51=X0)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f471,f376])).
% 0.14/0.32 fof(f545,plain,(
% 0.14/0.32 spl0_14|~spl0_2|~spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f544,f541,f473,f476])).
% 0.14/0.32 fof(f559,plain,(
% 0.14/0.32 spl0_17 <=> sk0_52=sk0_52),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f562,plain,(
% 0.14/0.32 ~ssList(sk0_52)|sk0_52=sk0_52|~spl0_13),
% 0.14/0.32 inference(resolution,[status(thm)],[f537,f472])).
% 0.14/0.32 fof(f563,plain,(
% 0.14/0.32 ~spl0_2|spl0_17|~spl0_13),
% 0.14/0.32 inference(split_clause,[status(thm)],[f562,f473,f559,f536])).
% 0.14/0.32 fof(f569,plain,(
% 0.14/0.32 spl0_19 <=> sk0_51=sk0_51),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f572,plain,(
% 0.14/0.32 ~ssList(sk0_51)|sk0_51=sk0_51|~spl0_14),
% 0.14/0.32 inference(resolution,[status(thm)],[f542,f471])).
% 0.14/0.32 fof(f573,plain,(
% 0.14/0.32 ~spl0_3|spl0_19|~spl0_14),
% 0.14/0.32 inference(split_clause,[status(thm)],[f572,f476,f569,f541])).
% 0.14/0.32 fof(f579,plain,(
% 0.14/0.32 spl0_21 <=> ~ssList(X0)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f582,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(app(nil,X0))|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.14/0.32 inference(resolution,[status(thm)],[f378,f249])).
% 0.14/0.32 fof(f583,plain,(
% 0.14/0.32 spl0_21|~spl0_6),
% 0.14/0.32 inference(split_clause,[status(thm)],[f582,f579,f493])).
% 0.14/0.32 fof(f586,plain,(
% 0.14/0.32 spl0_22 <=> ~ssList(X0)|~sk0_47=app(sk0_52,X0)|sk0_51=X0),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f589,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~ssList(sk0_52)|~ssList(sk0_51)|~sk0_47=app(sk0_52,X0)|sk0_51=X0)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f472,f378])).
% 0.14/0.32 fof(f590,plain,(
% 0.14/0.32 spl0_22|~spl0_2|~spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f589,f586,f473,f476])).
% 0.14/0.32 fof(f591,plain,(
% 0.14/0.32 spl0_23 <=> ~ssList(X0)|~sk0_48=app(sk0_51,X0)|sk0_52=X0),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f594,plain,(
% 0.14/0.32 ![X0]: (~ssList(X0)|~ssList(sk0_51)|~ssList(sk0_52)|~sk0_48=app(sk0_51,X0)|sk0_52=X0)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f471,f378])).
% 0.14/0.32 fof(f595,plain,(
% 0.14/0.32 spl0_23|~spl0_3|~spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f594,f591,f476,f473])).
% 0.14/0.32 fof(f611,plain,(
% 0.14/0.32 spl0_24 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_52,X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f612,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_52,X0)|~spl0_24)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f611])).
% 0.14/0.32 fof(f614,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|~ssList(sk0_52)|~ssList(sk0_51)|memberP(sk0_47,X0)|~memberP(sk0_52,X0))),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f472,f271])).
% 0.14/0.32 fof(f615,plain,(
% 0.14/0.32 spl0_24|~spl0_2|~spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f614,f611,f473,f476])).
% 0.14/0.32 fof(f616,plain,(
% 0.14/0.32 spl0_25 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_51,X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f617,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_51,X0)|~spl0_25)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f616])).
% 0.14/0.32 fof(f619,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|~ssList(sk0_51)|~ssList(sk0_52)|memberP(sk0_48,X0)|~memberP(sk0_51,X0))),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f471,f271])).
% 0.14/0.32 fof(f620,plain,(
% 0.14/0.32 spl0_25|~spl0_3|~spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f619,f616,f476,f473])).
% 0.14/0.32 fof(f623,plain,(
% 0.14/0.32 spl0_26 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_52,X0)|memberP(sk0_51,X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f624,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_52,X0)|memberP(sk0_51,X0)|~spl0_26)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f623])).
% 0.14/0.32 fof(f626,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|~ssList(sk0_52)|~ssList(sk0_51)|~memberP(sk0_47,X0)|memberP(sk0_52,X0)|memberP(sk0_51,X0))),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f472,f270])).
% 0.14/0.32 fof(f627,plain,(
% 0.14/0.32 spl0_26|~spl0_2|~spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f626,f623,f473,f476])).
% 0.14/0.32 fof(f628,plain,(
% 0.14/0.32 spl0_27 <=> ~ssItem(X0)|~memberP(sk0_48,X0)|memberP(sk0_51,X0)|memberP(sk0_52,X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f629,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|~memberP(sk0_48,X0)|memberP(sk0_51,X0)|memberP(sk0_52,X0)|~spl0_27)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f628])).
% 0.14/0.32 fof(f631,plain,(
% 0.14/0.32 ![X0]: (~ssItem(X0)|~ssList(sk0_51)|~ssList(sk0_52)|~memberP(sk0_48,X0)|memberP(sk0_51,X0)|memberP(sk0_52,X0))),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f471,f270])).
% 0.14/0.32 fof(f632,plain,(
% 0.14/0.32 spl0_27|~spl0_3|~spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f631,f628,f476,f473])).
% 0.14/0.32 fof(f633,plain,(
% 0.14/0.32 spl0_28 <=> ssItem(sk0_53)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f635,plain,(
% 0.14/0.32 ~ssItem(sk0_53)|spl0_28),
% 0.14/0.32 inference(component_clause,[status(thm)],[f633])).
% 0.14/0.32 fof(f636,plain,(
% 0.14/0.32 spl0_29 <=> memberP(sk0_51,sk0_53)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f637,plain,(
% 0.14/0.32 memberP(sk0_51,sk0_53)|~spl0_29),
% 0.14/0.32 inference(component_clause,[status(thm)],[f636])).
% 0.14/0.32 fof(f639,plain,(
% 0.14/0.32 spl0_30 <=> memberP(sk0_52,sk0_53)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f640,plain,(
% 0.14/0.32 memberP(sk0_52,sk0_53)|~spl0_30),
% 0.14/0.32 inference(component_clause,[status(thm)],[f639])).
% 0.14/0.32 fof(f642,plain,(
% 0.14/0.32 ~ssItem(sk0_53)|memberP(sk0_51,sk0_53)|memberP(sk0_52,sk0_53)|~spl0_27|~spl0_0),
% 0.14/0.32 inference(resolution,[status(thm)],[f629,f432])).
% 0.14/0.32 fof(f643,plain,(
% 0.14/0.32 ~spl0_28|spl0_29|spl0_30|~spl0_27|~spl0_0),
% 0.14/0.32 inference(split_clause,[status(thm)],[f642,f633,f636,f639,f628,f431])).
% 0.14/0.32 fof(f644,plain,(
% 0.14/0.32 $false|spl0_28),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f635,f428])).
% 0.14/0.32 fof(f645,plain,(
% 0.14/0.32 spl0_28),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f644])).
% 0.14/0.33 fof(f646,plain,(
% 0.14/0.33 ~ssItem(sk0_53)|memberP(sk0_48,sk0_53)|~spl0_29|~spl0_25),
% 0.14/0.33 inference(resolution,[status(thm)],[f637,f617])).
% 0.14/0.33 fof(f647,plain,(
% 0.14/0.33 ~spl0_28|spl0_0|~spl0_29|~spl0_25),
% 0.14/0.33 inference(split_clause,[status(thm)],[f646,f633,f431,f636,f616])).
% 0.14/0.33 fof(f648,plain,(
% 0.14/0.33 ~ssItem(sk0_53)|memberP(sk0_47,sk0_53)|~spl0_30|~spl0_24),
% 0.14/0.33 inference(resolution,[status(thm)],[f640,f612])).
% 0.14/0.33 fof(f649,plain,(
% 0.14/0.33 ~spl0_28|spl0_1|~spl0_30|~spl0_24),
% 0.14/0.33 inference(split_clause,[status(thm)],[f648,f633,f434,f639,f611])).
% 0.14/0.33 fof(f652,plain,(
% 0.14/0.33 spl0_31 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_51,X0)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f653,plain,(
% 0.14/0.33 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_51,X0)|~spl0_31)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f652])).
% 0.14/0.33 fof(f655,plain,(
% 0.14/0.33 ![X0]: (~ssItem(X0)|~ssList(sk0_52)|~ssList(sk0_51)|memberP(sk0_47,X0)|~memberP(sk0_51,X0))),
% 0.14/0.33 inference(paramodulation,[status(thm)],[f472,f272])).
% 0.14/0.33 fof(f656,plain,(
% 0.14/0.33 spl0_31|~spl0_2|~spl0_3),
% 0.14/0.33 inference(split_clause,[status(thm)],[f655,f652,f473,f476])).
% 0.14/0.33 fof(f657,plain,(
% 0.14/0.33 spl0_32 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_52,X0)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f658,plain,(
% 0.14/0.33 ![X0]: (~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_52,X0)|~spl0_32)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f657])).
% 0.14/0.33 fof(f660,plain,(
% 0.14/0.33 ![X0]: (~ssItem(X0)|~ssList(sk0_51)|~ssList(sk0_52)|memberP(sk0_48,X0)|~memberP(sk0_52,X0))),
% 0.14/0.33 inference(paramodulation,[status(thm)],[f471,f272])).
% 0.14/0.33 fof(f661,plain,(
% 0.14/0.33 spl0_32|~spl0_3|~spl0_2),
% 0.14/0.33 inference(split_clause,[status(thm)],[f660,f657,f476,f473])).
% 0.14/0.33 fof(f662,plain,(
% 0.14/0.33 ~ssItem(sk0_53)|memberP(sk0_47,sk0_53)|~spl0_31|~spl0_29),
% 0.14/0.33 inference(resolution,[status(thm)],[f653,f637])).
% 0.14/0.33 fof(f663,plain,(
% 0.14/0.33 ~spl0_28|spl0_1|~spl0_31|~spl0_29),
% 0.14/0.33 inference(split_clause,[status(thm)],[f662,f633,f434,f652,f636])).
% 0.14/0.33 fof(f664,plain,(
% 0.14/0.33 ~ssItem(sk0_53)|memberP(sk0_52,sk0_53)|memberP(sk0_51,sk0_53)|~spl0_1|~spl0_26),
% 0.14/0.33 inference(resolution,[status(thm)],[f435,f624])).
% 0.14/0.33 fof(f665,plain,(
% 0.14/0.33 ~spl0_28|spl0_30|spl0_29|~spl0_1|~spl0_26),
% 0.14/0.33 inference(split_clause,[status(thm)],[f664,f633,f639,f636,f434,f623])).
% 0.14/0.33 fof(f668,plain,(
% 0.14/0.33 ~ssItem(sk0_53)|memberP(sk0_48,sk0_53)|~spl0_32|~spl0_30),
% 0.14/0.33 inference(resolution,[status(thm)],[f658,f640])).
% 0.14/0.33 fof(f669,plain,(
% 0.14/0.33 ~spl0_28|spl0_0|~spl0_32|~spl0_30),
% 0.14/0.33 inference(split_clause,[status(thm)],[f668,f633,f431,f657,f639])).
% 0.14/0.33 fof(f670,plain,(
% 0.14/0.33 $false),
% 0.14/0.33 inference(sat_refutation,[status(thm)],[f437,f438,f483,f488,f490,f492,f500,f520,f533,f540,f545,f563,f573,f583,f590,f595,f615,f620,f627,f632,f643,f645,f647,f649,f656,f661,f663,f665,f669])).
% 0.14/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.34 % Elapsed time: 0.024229 seconds
% 0.14/0.34 % CPU time: 0.041203 seconds
% 0.14/0.34 % Total memory used: 14.925 MB
% 0.14/0.34 % Net memory used: 14.877 MB
%------------------------------------------------------------------------------