TSTP Solution File: SWC075+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:39:09 EDT 2023
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n006.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 11:16:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.37 fof(f2,axiom,(
% 0.20/0.37 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f7,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f15,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f17,axiom,(
% 0.20/0.37 ssList(nil) ),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f26,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f28,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f83,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f84,axiom,(
% 0.20/0.37 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f96,conjecture,(
% 0.20/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| app(Z,X1) != X| app(X1,Z) != W ) )))| ( nil = V& nil = U ) ) )) )) )) )),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f97,negated_conjecture,(
% 0.20/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| app(Z,X1) != X| app(X1,Z) != W ) )))| ( nil = V& nil = U ) ) )) )) )) ))),
% 0.20/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.20/0.37 fof(f102,plain,(
% 0.20/0.37 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f2])).
% 0.20/0.37 fof(f103,plain,(
% 0.20/0.37 ssItem(sk0_0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.20/0.37 fof(f104,plain,(
% 0.20/0.37 ssItem(sk0_1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.20/0.37 fof(f131,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.37 fof(f132,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f131])).
% 0.20/0.37 fof(f133,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f132])).
% 0.20/0.37 fof(f137,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f133])).
% 0.20/0.37 fof(f217,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.37 fof(f218,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f217])).
% 0.20/0.37 fof(f220,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f218])).
% 0.20/0.37 fof(f223,plain,(
% 0.20/0.37 ssList(nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.37 fof(f244,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.20/0.37 fof(f245,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f244])).
% 0.20/0.37 fof(f248,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.20/0.37 fof(f249,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f248])).
% 0.20/0.37 fof(f383,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.20/0.37 fof(f384,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f383])).
% 0.20/0.37 fof(f386,plain,(
% 0.20/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f384])).
% 0.20/0.37 fof(f388,plain,(
% 0.20/0.37 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.20/0.37 fof(f389,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f388])).
% 0.20/0.37 fof(f415,plain,(
% 0.20/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&(?[X1]: ((ssList(X1)&app(Z,X1)=X)&app(X1,Z)=W)))))&(~nil=V|~nil=U)))))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.20/0.37 fof(f416,plain,(
% 0.20/0.37 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: ((((ssList(X)&V=X)&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&(?[X1]: ((ssList(X1)&app(Z,X1)=X)&app(X1,Z)=W))))))&(~nil=V|~nil=U)))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f415])).
% 0.20/0.37 fof(f417,plain,(
% 0.20/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))&(ssList(sk0_51)&((ssList(sk0_52)&app(sk0_51,sk0_52)=sk0_50)&app(sk0_52,sk0_51)=sk0_49)))&(~nil=sk0_48|~nil=sk0_47)))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f416])).
% 0.20/0.37 fof(f418,plain,(
% 0.20/0.37 ssList(sk0_47)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f419,plain,(
% 0.20/0.37 ssList(sk0_48)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f422,plain,(
% 0.20/0.37 sk0_48=sk0_50),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f423,plain,(
% 0.20/0.37 sk0_47=sk0_49),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f424,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f425,plain,(
% 0.20/0.37 ssList(sk0_51)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f426,plain,(
% 0.20/0.37 ssList(sk0_52)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f427,plain,(
% 0.20/0.37 app(sk0_51,sk0_52)=sk0_50),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f428,plain,(
% 0.20/0.37 app(sk0_52,sk0_51)=sk0_49),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f429,plain,(
% 0.20/0.37 ~nil=sk0_48|~nil=sk0_47),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f417])).
% 0.20/0.37 fof(f430,plain,(
% 0.20/0.37 spl0_0 <=> nil=sk0_48),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f432,plain,(
% 0.20/0.37 ~nil=sk0_48|spl0_0),
% 0.20/0.37 inference(component_clause,[status(thm)],[f430])).
% 0.20/0.37 fof(f433,plain,(
% 0.20/0.37 spl0_1 <=> nil=sk0_47),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f436,plain,(
% 0.20/0.37 ~spl0_0|~spl0_1),
% 0.20/0.37 inference(split_clause,[status(thm)],[f429,f430,f433])).
% 0.20/0.37 fof(f443,plain,(
% 0.20/0.37 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.20/0.37 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.20/0.37 fof(f469,plain,(
% 0.20/0.37 app(sk0_51,sk0_52)=sk0_48),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f422,f427])).
% 0.20/0.37 fof(f470,plain,(
% 0.20/0.37 app(sk0_52,sk0_51)=sk0_47),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f423,f428])).
% 0.20/0.37 fof(f471,plain,(
% 0.20/0.37 app(nil,sk0_52)=sk0_52),
% 0.20/0.37 inference(resolution,[status(thm)],[f249,f426])).
% 0.20/0.37 fof(f472,plain,(
% 0.20/0.37 app(nil,sk0_51)=sk0_51),
% 0.20/0.37 inference(resolution,[status(thm)],[f249,f425])).
% 0.20/0.37 fof(f476,plain,(
% 0.20/0.37 spl0_2 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f477,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_2)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f476])).
% 0.20/0.37 fof(f479,plain,(
% 0.20/0.37 spl0_3 <=> ssList(sk0_51)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f481,plain,(
% 0.20/0.37 ~ssList(sk0_51)|spl0_3),
% 0.20/0.37 inference(component_clause,[status(thm)],[f479])).
% 0.20/0.37 fof(f482,plain,(
% 0.20/0.37 spl0_4 <=> ssList(sk0_52)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f484,plain,(
% 0.20/0.37 ~ssList(sk0_52)|spl0_4),
% 0.20/0.37 inference(component_clause,[status(thm)],[f482])).
% 0.20/0.37 fof(f485,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_51)|segmentP(app(app(sk0_52,sk0_51),X0),sk0_51)|~ssList(sk0_52)|~ssList(X0))),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f470,f443])).
% 0.20/0.37 fof(f486,plain,(
% 0.20/0.37 spl0_2|~spl0_3|~spl0_4),
% 0.20/0.37 inference(split_clause,[status(thm)],[f485,f476,f479,f482])).
% 0.20/0.37 fof(f487,plain,(
% 0.20/0.37 spl0_5 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_51,sk0_52),X0),sk0_52)|~ssList(X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f488,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_51,sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_5)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f487])).
% 0.20/0.37 fof(f490,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_52)|segmentP(app(app(sk0_51,sk0_52),X0),sk0_52)|~ssList(sk0_51)|~ssList(X0))),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f469,f443])).
% 0.20/0.37 fof(f491,plain,(
% 0.20/0.37 spl0_5|~spl0_4|~spl0_3),
% 0.20/0.37 inference(split_clause,[status(thm)],[f490,f487,f482,f479])).
% 0.20/0.37 fof(f492,plain,(
% 0.20/0.37 $false|spl0_3),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f481,f425])).
% 0.20/0.37 fof(f493,plain,(
% 0.20/0.37 spl0_3),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f492])).
% 0.20/0.37 fof(f494,plain,(
% 0.20/0.37 $false|spl0_4),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f484,f426])).
% 0.20/0.37 fof(f495,plain,(
% 0.20/0.37 spl0_4),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f494])).
% 0.20/0.37 fof(f496,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_51)|~ssList(X0)|~spl0_2)),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f470,f477])).
% 0.20/0.37 fof(f497,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)|~spl0_5)),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f469,f488])).
% 0.20/0.37 fof(f502,plain,(
% 0.20/0.37 spl0_6 <=> ~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f503,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_6)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f502])).
% 0.20/0.37 fof(f505,plain,(
% 0.20/0.37 spl0_7 <=> ssList(nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f507,plain,(
% 0.20/0.37 ~ssList(nil)|spl0_7),
% 0.20/0.37 inference(component_clause,[status(thm)],[f505])).
% 0.20/0.37 fof(f508,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_52,X0))|~ssList(sk0_52)|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(nil)|~ssList(X0))),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f471,f443])).
% 0.20/0.37 fof(f509,plain,(
% 0.20/0.37 spl0_6|~spl0_4|~spl0_7),
% 0.20/0.37 inference(split_clause,[status(thm)],[f508,f502,f482,f505])).
% 0.20/0.37 fof(f510,plain,(
% 0.20/0.37 $false|spl0_7),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f507,f223])).
% 0.20/0.37 fof(f511,plain,(
% 0.20/0.37 spl0_7),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f510])).
% 0.20/0.37 fof(f512,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(sk0_52,X0),sk0_52)|~ssList(X0)|~spl0_6)),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f471,f503])).
% 0.20/0.37 fof(f513,plain,(
% 0.20/0.37 spl0_8 <=> ssList(app(sk0_52,sk0_51))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f515,plain,(
% 0.20/0.37 ~ssList(app(sk0_52,sk0_51))|spl0_8),
% 0.20/0.37 inference(component_clause,[status(thm)],[f513])).
% 0.20/0.37 fof(f516,plain,(
% 0.20/0.37 spl0_9 <=> segmentP(sk0_47,sk0_52)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f519,plain,(
% 0.20/0.37 ~ssList(app(sk0_52,sk0_51))|segmentP(sk0_47,sk0_52)|~ssList(sk0_51)|~spl0_6),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f470,f512])).
% 0.20/0.37 fof(f520,plain,(
% 0.20/0.37 ~spl0_8|spl0_9|~spl0_3|~spl0_6),
% 0.20/0.37 inference(split_clause,[status(thm)],[f519,f513,f516,f479,f502])).
% 0.20/0.37 fof(f521,plain,(
% 0.20/0.37 ~ssList(sk0_47)|spl0_8),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f470,f515])).
% 0.20/0.37 fof(f522,plain,(
% 0.20/0.37 $false|spl0_8),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f521,f418])).
% 0.20/0.37 fof(f523,plain,(
% 0.20/0.37 spl0_8),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f522])).
% 0.20/0.37 fof(f525,plain,(
% 0.20/0.37 spl0_10 <=> ~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f526,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_10)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f525])).
% 0.20/0.37 fof(f528,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_51,X0))|~ssList(sk0_51)|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(nil)|~ssList(X0))),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f472,f443])).
% 0.20/0.37 fof(f529,plain,(
% 0.20/0.37 spl0_10|~spl0_3|~spl0_7),
% 0.20/0.37 inference(split_clause,[status(thm)],[f528,f525,f479,f505])).
% 0.20/0.37 fof(f530,plain,(
% 0.20/0.37 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(sk0_51,X0),sk0_51)|~ssList(X0)|~spl0_10)),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f472,f526])).
% 0.20/0.37 fof(f531,plain,(
% 0.20/0.37 spl0_11 <=> ssList(app(sk0_51,sk0_52))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f533,plain,(
% 0.20/0.37 ~ssList(app(sk0_51,sk0_52))|spl0_11),
% 0.20/0.37 inference(component_clause,[status(thm)],[f531])).
% 0.20/0.37 fof(f534,plain,(
% 0.20/0.37 spl0_12 <=> segmentP(sk0_48,sk0_51)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f535,plain,(
% 0.20/0.37 segmentP(sk0_48,sk0_51)|~spl0_12),
% 0.20/0.37 inference(component_clause,[status(thm)],[f534])).
% 0.20/0.37 fof(f537,plain,(
% 0.20/0.37 ~ssList(app(sk0_51,sk0_52))|segmentP(sk0_48,sk0_51)|~ssList(sk0_52)|~spl0_10),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f469,f530])).
% 0.20/0.37 fof(f538,plain,(
% 0.20/0.37 ~spl0_11|spl0_12|~spl0_4|~spl0_10),
% 0.20/0.37 inference(split_clause,[status(thm)],[f537,f531,f534,f482,f525])).
% 0.20/0.37 fof(f539,plain,(
% 0.20/0.37 ~ssList(sk0_48)|spl0_11),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f469,f533])).
% 0.20/0.37 fof(f540,plain,(
% 0.20/0.37 $false|spl0_11),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f539,f419])).
% 0.20/0.37 fof(f541,plain,(
% 0.20/0.37 spl0_11),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f540])).
% 0.20/0.37 fof(f572,plain,(
% 0.20/0.37 app(sk0_51,nil)=sk0_51),
% 0.20/0.37 inference(resolution,[status(thm)],[f389,f425])).
% 0.20/0.37 fof(f574,plain,(
% 0.20/0.37 app(sk0_48,nil)=sk0_48),
% 0.20/0.37 inference(resolution,[status(thm)],[f389,f419])).
% 0.20/0.37 fof(f575,plain,(
% 0.20/0.37 app(sk0_47,nil)=sk0_47),
% 0.20/0.37 inference(resolution,[status(thm)],[f389,f418])).
% 0.20/0.37 fof(f612,plain,(
% 0.20/0.37 spl0_24 <=> ssList(app(sk0_48,nil))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f614,plain,(
% 0.20/0.37 ~ssList(app(sk0_48,nil))|spl0_24),
% 0.20/0.37 inference(component_clause,[status(thm)],[f612])).
% 0.20/0.37 fof(f620,plain,(
% 0.20/0.37 spl0_26 <=> segmentP(sk0_48,sk0_52)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f621,plain,(
% 0.20/0.37 segmentP(sk0_48,sk0_52)|~spl0_26),
% 0.20/0.37 inference(component_clause,[status(thm)],[f620])).
% 0.20/0.37 fof(f623,plain,(
% 0.20/0.37 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_52)|~ssList(nil)|~spl0_5),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f574,f497])).
% 0.20/0.37 fof(f624,plain,(
% 0.20/0.37 ~spl0_24|spl0_26|~spl0_7|~spl0_5),
% 0.20/0.37 inference(split_clause,[status(thm)],[f623,f612,f620,f505,f487])).
% 0.20/0.37 fof(f630,plain,(
% 0.20/0.37 ~ssList(sk0_48)|spl0_24),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f574,f614])).
% 0.20/0.37 fof(f631,plain,(
% 0.20/0.37 $false|spl0_24),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f630,f419])).
% 0.20/0.37 fof(f632,plain,(
% 0.20/0.37 spl0_24),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f631])).
% 0.20/0.37 fof(f635,plain,(
% 0.20/0.37 spl0_28 <=> ssList(app(sk0_47,nil))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f637,plain,(
% 0.20/0.37 ~ssList(app(sk0_47,nil))|spl0_28),
% 0.20/0.37 inference(component_clause,[status(thm)],[f635])).
% 0.20/0.37 fof(f643,plain,(
% 0.20/0.37 spl0_30 <=> segmentP(sk0_47,sk0_51)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f646,plain,(
% 0.20/0.37 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_51)|~ssList(nil)|~spl0_2),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f575,f496])).
% 0.20/0.37 fof(f647,plain,(
% 0.20/0.37 ~spl0_28|spl0_30|~spl0_7|~spl0_2),
% 0.20/0.37 inference(split_clause,[status(thm)],[f646,f635,f643,f505,f476])).
% 0.20/0.37 fof(f653,plain,(
% 0.20/0.37 ~ssList(sk0_47)|spl0_28),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f575,f637])).
% 0.20/0.37 fof(f654,plain,(
% 0.20/0.37 $false|spl0_28),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f653,f418])).
% 0.20/0.37 fof(f655,plain,(
% 0.20/0.37 spl0_28),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f654])).
% 0.20/0.37 fof(f665,plain,(
% 0.20/0.37 spl0_33 <=> ssItem(sk0_0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f667,plain,(
% 0.20/0.37 ~ssItem(sk0_0)|spl0_33),
% 0.20/0.37 inference(component_clause,[status(thm)],[f665])).
% 0.20/0.37 fof(f678,plain,(
% 0.20/0.37 $false|spl0_33),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f667,f103])).
% 0.20/0.37 fof(f679,plain,(
% 0.20/0.37 spl0_33),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f678])).
% 0.20/0.37 fof(f680,plain,(
% 0.20/0.37 spl0_36 <=> ssItem(sk0_1)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f682,plain,(
% 0.20/0.37 ~ssItem(sk0_1)|spl0_36),
% 0.20/0.37 inference(component_clause,[status(thm)],[f680])).
% 0.20/0.37 fof(f693,plain,(
% 0.20/0.37 $false|spl0_36),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f682,f104])).
% 0.20/0.37 fof(f694,plain,(
% 0.20/0.37 spl0_36),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f693])).
% 0.20/0.37 fof(f699,plain,(
% 0.20/0.37 spl0_39 <=> ~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f700,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_39)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f699])).
% 0.20/0.37 fof(f702,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~ssList(nil)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.20/0.37 inference(resolution,[status(thm)],[f220,f424])).
% 0.20/0.37 fof(f703,plain,(
% 0.20/0.37 spl0_39|~spl0_7),
% 0.20/0.37 inference(split_clause,[status(thm)],[f702,f699,f505])).
% 0.20/0.37 fof(f704,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_39)),
% 0.20/0.37 inference(duplicate_literals_removal,[status(esa)],[f700])).
% 0.20/0.37 fof(f710,plain,(
% 0.20/0.37 spl0_41 <=> sk0_52=nil),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f711,plain,(
% 0.20/0.37 sk0_52=nil|~spl0_41),
% 0.20/0.37 inference(component_clause,[status(thm)],[f710])).
% 0.20/0.37 fof(f713,plain,(
% 0.20/0.37 ~ssList(sk0_52)|sk0_52=nil|~segmentP(sk0_47,sk0_52)|~spl0_39|~spl0_26),
% 0.20/0.37 inference(resolution,[status(thm)],[f704,f621])).
% 0.20/0.37 fof(f714,plain,(
% 0.20/0.37 ~spl0_4|spl0_41|~spl0_9|~spl0_39|~spl0_26),
% 0.20/0.37 inference(split_clause,[status(thm)],[f713,f482,f710,f516,f699,f620])).
% 0.20/0.37 fof(f715,plain,(
% 0.20/0.37 spl0_42 <=> sk0_51=nil),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f716,plain,(
% 0.20/0.37 sk0_51=nil|~spl0_42),
% 0.20/0.37 inference(component_clause,[status(thm)],[f715])).
% 0.20/0.37 fof(f718,plain,(
% 0.20/0.37 ~ssList(sk0_51)|sk0_51=nil|~segmentP(sk0_47,sk0_51)|~spl0_39|~spl0_12),
% 0.20/0.37 inference(resolution,[status(thm)],[f704,f535])).
% 0.20/0.37 fof(f719,plain,(
% 0.20/0.37 ~spl0_3|spl0_42|~spl0_30|~spl0_39|~spl0_12),
% 0.20/0.37 inference(split_clause,[status(thm)],[f718,f479,f715,f643,f699,f534])).
% 0.20/0.37 fof(f755,plain,(
% 0.20/0.37 app(nil,sk0_51)=sk0_47|~spl0_41),
% 0.20/0.37 inference(backward_demodulation,[status(thm)],[f711,f470])).
% 0.20/0.37 fof(f756,plain,(
% 0.20/0.37 sk0_51=sk0_47|~spl0_41),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f472,f755])).
% 0.20/0.37 fof(f757,plain,(
% 0.20/0.37 app(sk0_51,nil)=sk0_48|~spl0_41),
% 0.20/0.37 inference(backward_demodulation,[status(thm)],[f711,f469])).
% 0.20/0.37 fof(f758,plain,(
% 0.20/0.37 sk0_51=sk0_48|~spl0_41),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f572,f757])).
% 0.20/0.37 fof(f769,plain,(
% 0.20/0.37 sk0_47=sk0_48|~spl0_41),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f756,f758])).
% 0.20/0.37 fof(f781,plain,(
% 0.20/0.37 ~nil=sk0_47|~spl0_41|spl0_0),
% 0.20/0.37 inference(backward_demodulation,[status(thm)],[f769,f432])).
% 0.20/0.37 fof(f791,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|ssList(app(X0,sk0_47)))),
% 0.20/0.37 inference(resolution,[status(thm)],[f245,f418])).
% 0.20/0.37 fof(f794,plain,(
% 0.20/0.37 ssList(app(sk0_47,sk0_47))),
% 0.20/0.37 inference(resolution,[status(thm)],[f791,f418])).
% 0.20/0.37 fof(f812,plain,(
% 0.20/0.37 spl0_48 <=> ssList(app(sk0_47,sk0_47))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f814,plain,(
% 0.20/0.37 ~ssList(app(sk0_47,sk0_47))|spl0_48),
% 0.20/0.37 inference(component_clause,[status(thm)],[f812])).
% 0.20/0.37 fof(f825,plain,(
% 0.20/0.37 $false|spl0_48),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f814,f794])).
% 0.20/0.37 fof(f826,plain,(
% 0.20/0.37 spl0_48),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f825])).
% 0.20/0.37 fof(f894,plain,(
% 0.20/0.37 ![X0]: (~ssList(X0)|~nil=app(X0,nil)|nil=X0)),
% 0.20/0.37 inference(resolution,[status(thm)],[f386,f223])).
% 0.20/0.37 fof(f921,plain,(
% 0.20/0.37 spl0_66 <=> nil=app(sk0_47,nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f923,plain,(
% 0.20/0.37 ~nil=app(sk0_47,nil)|spl0_66),
% 0.20/0.37 inference(component_clause,[status(thm)],[f921])).
% 0.20/0.37 fof(f924,plain,(
% 0.20/0.37 ~nil=app(sk0_47,nil)|nil=sk0_47),
% 0.20/0.37 inference(resolution,[status(thm)],[f894,f418])).
% 0.20/0.37 fof(f925,plain,(
% 0.20/0.37 ~spl0_66|spl0_1),
% 0.20/0.37 inference(split_clause,[status(thm)],[f924,f921,f433])).
% 0.20/0.37 fof(f926,plain,(
% 0.20/0.37 ~nil=sk0_47|spl0_66),
% 0.20/0.38 inference(forward_demodulation,[status(thm)],[f575,f923])).
% 0.20/0.38 fof(f952,plain,(
% 0.20/0.38 ~spl0_1|~spl0_41|spl0_0),
% 0.20/0.38 inference(split_clause,[status(thm)],[f781,f433,f710,f430])).
% 0.20/0.38 fof(f987,plain,(
% 0.20/0.38 sk0_47=nil|~spl0_41|~spl0_42),
% 0.20/0.38 inference(forward_demodulation,[status(thm)],[f756,f716])).
% 0.20/0.38 fof(f1033,plain,(
% 0.20/0.38 ~nil=nil|~spl0_41|~spl0_42|spl0_66),
% 0.20/0.38 inference(forward_demodulation,[status(thm)],[f987,f926])).
% 0.20/0.38 fof(f1034,plain,(
% 0.20/0.38 $false|~spl0_41|~spl0_42|spl0_66),
% 0.20/0.38 inference(trivial_equality_resolution,[status(esa)],[f1033])).
% 0.20/0.38 fof(f1035,plain,(
% 0.20/0.38 ~spl0_41|~spl0_42|spl0_66),
% 0.20/0.38 inference(contradiction_clause,[status(thm)],[f1034])).
% 0.20/0.38 fof(f1036,plain,(
% 0.20/0.38 $false),
% 0.20/0.38 inference(sat_refutation,[status(thm)],[f436,f486,f491,f493,f495,f509,f511,f520,f523,f529,f538,f541,f624,f632,f647,f655,f679,f694,f703,f714,f719,f826,f925,f952,f1035])).
% 0.20/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.39 % Elapsed time: 0.039468 seconds
% 0.20/0.39 % CPU time: 0.088925 seconds
% 0.20/0.39 % Memory used: 16.455 MB
%------------------------------------------------------------------------------