TSTP Solution File: SWC090+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC090+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:44:28 EDT 2024
% Result : Theorem 0.08s 0.29s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC090+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 00:07:50 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.29 % Drodi V3.6.0
% 0.08/0.29 % Refutation found
% 0.08/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.29 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.29 fof(f2,axiom,(
% 0.08/0.29 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f7,axiom,(
% 0.08/0.29 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f15,axiom,(
% 0.08/0.29 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f17,axiom,(
% 0.08/0.29 ssList(nil) ),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f28,axiom,(
% 0.08/0.29 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f84,axiom,(
% 0.08/0.29 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f96,conjecture,(
% 0.08/0.29 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [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 ) ) )) )) ) )) )) )) )),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f97,negated_conjecture,(
% 0.08/0.29 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [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 ) ) )) )) ) )) )) )) ))),
% 0.08/0.29 inference(negated_conjecture,[status(cth)],[f96])).
% 0.08/0.29 fof(f102,plain,(
% 0.08/0.29 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.08/0.29 inference(skolemization,[status(esa)],[f2])).
% 0.08/0.29 fof(f103,plain,(
% 0.08/0.29 ssItem(sk0_0)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f102])).
% 0.08/0.29 fof(f104,plain,(
% 0.08/0.29 ssItem(sk0_1)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f102])).
% 0.08/0.29 fof(f131,plain,(
% 0.08/0.29 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.08/0.29 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.08/0.29 fof(f132,plain,(
% 0.08/0.29 ![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)))))))))),
% 0.08/0.29 inference(NNF_transformation,[status(esa)],[f131])).
% 0.08/0.29 fof(f133,plain,(
% 0.08/0.29 ![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)))))))))),
% 0.08/0.29 inference(skolemization,[status(esa)],[f132])).
% 0.08/0.29 fof(f137,plain,(
% 0.08/0.29 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f133])).
% 0.08/0.29 fof(f217,plain,(
% 0.08/0.29 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.08/0.29 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.08/0.29 fof(f218,plain,(
% 0.08/0.29 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.08/0.29 inference(NNF_transformation,[status(esa)],[f217])).
% 0.08/0.29 fof(f220,plain,(
% 0.08/0.29 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f218])).
% 0.08/0.29 fof(f223,plain,(
% 0.08/0.29 ssList(nil)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f17])).
% 0.08/0.29 fof(f248,plain,(
% 0.08/0.29 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.08/0.29 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.08/0.29 fof(f249,plain,(
% 0.08/0.29 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f248])).
% 0.08/0.29 fof(f388,plain,(
% 0.08/0.29 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.08/0.29 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.08/0.29 fof(f389,plain,(
% 0.08/0.29 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f388])).
% 0.08/0.29 fof(f415,plain,(
% 0.08/0.29 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&(![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))))))))))))))),
% 0.08/0.29 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.08/0.29 fof(f416,plain,(
% 0.08/0.29 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&neq(sk0_48,nil))&(![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))))))))),
% 0.08/0.29 inference(skolemization,[status(esa)],[f415])).
% 0.08/0.29 fof(f417,plain,(
% 0.08/0.29 ssList(sk0_47)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f418,plain,(
% 0.08/0.29 ssList(sk0_48)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f421,plain,(
% 0.08/0.29 sk0_48=sk0_50),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f422,plain,(
% 0.08/0.29 sk0_47=sk0_49),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f423,plain,(
% 0.08/0.29 neq(sk0_48,nil)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f424,plain,(
% 0.08/0.29 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f425,plain,(
% 0.08/0.29 ssList(sk0_51)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f426,plain,(
% 0.08/0.29 ssList(sk0_52)),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f427,plain,(
% 0.08/0.29 app(sk0_51,sk0_52)=sk0_50),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f428,plain,(
% 0.08/0.29 app(sk0_52,sk0_51)=sk0_49),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f416])).
% 0.08/0.29 fof(f435,plain,(
% 0.08/0.29 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.08/0.29 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.08/0.29 fof(f461,plain,(
% 0.08/0.29 app(sk0_51,sk0_52)=sk0_48),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f421,f427])).
% 0.08/0.29 fof(f462,plain,(
% 0.08/0.29 app(sk0_52,sk0_51)=sk0_47),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f422,f428])).
% 0.08/0.29 fof(f463,plain,(
% 0.08/0.29 spl0_0 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f464,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_0)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f463])).
% 0.08/0.29 fof(f466,plain,(
% 0.08/0.29 spl0_1 <=> ssList(sk0_51)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f468,plain,(
% 0.08/0.29 ~ssList(sk0_51)|spl0_1),
% 0.08/0.29 inference(component_clause,[status(thm)],[f466])).
% 0.08/0.29 fof(f469,plain,(
% 0.08/0.29 spl0_2 <=> ssList(sk0_52)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f471,plain,(
% 0.08/0.29 ~ssList(sk0_52)|spl0_2),
% 0.08/0.29 inference(component_clause,[status(thm)],[f469])).
% 0.08/0.29 fof(f472,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_51)|segmentP(app(app(sk0_52,sk0_51),X0),sk0_51)|~ssList(sk0_52)|~ssList(X0))),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f462,f435])).
% 0.08/0.29 fof(f473,plain,(
% 0.08/0.29 spl0_0|~spl0_1|~spl0_2),
% 0.08/0.29 inference(split_clause,[status(thm)],[f472,f463,f466,f469])).
% 0.08/0.29 fof(f474,plain,(
% 0.08/0.29 spl0_3 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_51,sk0_52),X0),sk0_52)|~ssList(X0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f475,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_51,sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_3)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f474])).
% 0.08/0.29 fof(f477,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_52)|segmentP(app(app(sk0_51,sk0_52),X0),sk0_52)|~ssList(sk0_51)|~ssList(X0))),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f461,f435])).
% 0.08/0.29 fof(f478,plain,(
% 0.08/0.29 spl0_3|~spl0_2|~spl0_1),
% 0.08/0.29 inference(split_clause,[status(thm)],[f477,f474,f469,f466])).
% 0.08/0.29 fof(f479,plain,(
% 0.08/0.29 $false|spl0_1),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f468,f425])).
% 0.08/0.29 fof(f480,plain,(
% 0.08/0.29 spl0_1),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f479])).
% 0.08/0.29 fof(f481,plain,(
% 0.08/0.29 $false|spl0_2),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f471,f426])).
% 0.08/0.29 fof(f482,plain,(
% 0.08/0.29 spl0_2),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f481])).
% 0.08/0.29 fof(f483,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_51)|~ssList(X0)|~spl0_0)),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f462,f464])).
% 0.08/0.29 fof(f484,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)|~spl0_3)),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f461,f475])).
% 0.08/0.29 fof(f489,plain,(
% 0.08/0.29 spl0_4 <=> ssList(sk0_48)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f491,plain,(
% 0.08/0.29 ~ssList(sk0_48)|spl0_4),
% 0.08/0.29 inference(component_clause,[status(thm)],[f489])).
% 0.08/0.29 fof(f492,plain,(
% 0.08/0.29 spl0_5 <=> segmentP(sk0_48,sk0_48)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f495,plain,(
% 0.08/0.29 spl0_6 <=> segmentP(sk0_47,sk0_48)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f497,plain,(
% 0.08/0.29 ~segmentP(sk0_47,sk0_48)|spl0_6),
% 0.08/0.29 inference(component_clause,[status(thm)],[f495])).
% 0.08/0.29 fof(f498,plain,(
% 0.08/0.29 ~ssList(sk0_48)|~segmentP(sk0_48,sk0_48)|~segmentP(sk0_47,sk0_48)),
% 0.08/0.29 inference(resolution,[status(thm)],[f424,f423])).
% 0.08/0.29 fof(f499,plain,(
% 0.08/0.29 ~spl0_4|~spl0_5|~spl0_6),
% 0.08/0.29 inference(split_clause,[status(thm)],[f498,f489,f492,f495])).
% 0.08/0.29 fof(f502,plain,(
% 0.08/0.29 app(nil,sk0_52)=sk0_52),
% 0.08/0.29 inference(resolution,[status(thm)],[f249,f426])).
% 0.08/0.29 fof(f503,plain,(
% 0.08/0.29 app(nil,sk0_51)=sk0_51),
% 0.08/0.29 inference(resolution,[status(thm)],[f249,f425])).
% 0.08/0.29 fof(f505,plain,(
% 0.08/0.29 app(nil,sk0_48)=sk0_48),
% 0.08/0.29 inference(resolution,[status(thm)],[f249,f418])).
% 0.08/0.29 fof(f507,plain,(
% 0.08/0.29 spl0_7 <=> ~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f508,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_7)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f507])).
% 0.08/0.29 fof(f510,plain,(
% 0.08/0.29 spl0_8 <=> ssList(nil)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f512,plain,(
% 0.08/0.29 ~ssList(nil)|spl0_8),
% 0.08/0.29 inference(component_clause,[status(thm)],[f510])).
% 0.08/0.29 fof(f513,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_52,X0))|~ssList(sk0_52)|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(nil)|~ssList(X0))),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f502,f435])).
% 0.08/0.29 fof(f514,plain,(
% 0.08/0.29 spl0_7|~spl0_2|~spl0_8),
% 0.08/0.29 inference(split_clause,[status(thm)],[f513,f507,f469,f510])).
% 0.08/0.29 fof(f515,plain,(
% 0.08/0.29 $false|spl0_8),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f512,f223])).
% 0.08/0.29 fof(f516,plain,(
% 0.08/0.29 spl0_8),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f515])).
% 0.08/0.29 fof(f517,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(sk0_52,X0),sk0_52)|~ssList(X0)|~spl0_7)),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f502,f508])).
% 0.08/0.29 fof(f518,plain,(
% 0.08/0.29 spl0_9 <=> ssList(app(sk0_52,sk0_51))),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f520,plain,(
% 0.08/0.29 ~ssList(app(sk0_52,sk0_51))|spl0_9),
% 0.08/0.29 inference(component_clause,[status(thm)],[f518])).
% 0.08/0.29 fof(f521,plain,(
% 0.08/0.29 spl0_10 <=> segmentP(sk0_47,sk0_52)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f524,plain,(
% 0.08/0.29 ~ssList(app(sk0_52,sk0_51))|segmentP(sk0_47,sk0_52)|~ssList(sk0_51)|~spl0_7),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f462,f517])).
% 0.08/0.29 fof(f525,plain,(
% 0.08/0.29 ~spl0_9|spl0_10|~spl0_1|~spl0_7),
% 0.08/0.29 inference(split_clause,[status(thm)],[f524,f518,f521,f466,f507])).
% 0.08/0.29 fof(f526,plain,(
% 0.08/0.29 ~ssList(sk0_47)|spl0_9),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f462,f520])).
% 0.08/0.29 fof(f527,plain,(
% 0.08/0.29 $false|spl0_9),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f526,f417])).
% 0.08/0.29 fof(f528,plain,(
% 0.08/0.29 spl0_9),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f527])).
% 0.08/0.29 fof(f530,plain,(
% 0.08/0.29 spl0_11 <=> ~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f531,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_11)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f530])).
% 0.08/0.29 fof(f533,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_51,X0))|~ssList(sk0_51)|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(nil)|~ssList(X0))),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f503,f435])).
% 0.08/0.29 fof(f534,plain,(
% 0.08/0.29 spl0_11|~spl0_1|~spl0_8),
% 0.08/0.29 inference(split_clause,[status(thm)],[f533,f530,f466,f510])).
% 0.08/0.29 fof(f535,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(sk0_51,X0),sk0_51)|~ssList(X0)|~spl0_11)),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f503,f531])).
% 0.08/0.29 fof(f536,plain,(
% 0.08/0.29 spl0_12 <=> ssList(app(sk0_51,sk0_52))),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f538,plain,(
% 0.08/0.29 ~ssList(app(sk0_51,sk0_52))|spl0_12),
% 0.08/0.29 inference(component_clause,[status(thm)],[f536])).
% 0.08/0.29 fof(f539,plain,(
% 0.08/0.29 spl0_13 <=> segmentP(sk0_48,sk0_51)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f540,plain,(
% 0.08/0.29 segmentP(sk0_48,sk0_51)|~spl0_13),
% 0.08/0.29 inference(component_clause,[status(thm)],[f539])).
% 0.08/0.29 fof(f542,plain,(
% 0.08/0.29 ~ssList(app(sk0_51,sk0_52))|segmentP(sk0_48,sk0_51)|~ssList(sk0_52)|~spl0_11),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f461,f535])).
% 0.08/0.29 fof(f543,plain,(
% 0.08/0.29 ~spl0_12|spl0_13|~spl0_2|~spl0_11),
% 0.08/0.29 inference(split_clause,[status(thm)],[f542,f536,f539,f469,f530])).
% 0.08/0.29 fof(f544,plain,(
% 0.08/0.29 ~ssList(sk0_48)|spl0_12),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f461,f538])).
% 0.08/0.29 fof(f545,plain,(
% 0.08/0.29 $false|spl0_12),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f544,f418])).
% 0.08/0.29 fof(f546,plain,(
% 0.08/0.29 spl0_12),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f545])).
% 0.08/0.29 fof(f548,plain,(
% 0.08/0.29 spl0_14 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f549,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_14)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f548])).
% 0.08/0.29 fof(f551,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f505,f435])).
% 0.08/0.29 fof(f552,plain,(
% 0.08/0.29 spl0_14|~spl0_4|~spl0_8),
% 0.08/0.29 inference(split_clause,[status(thm)],[f551,f548,f489,f510])).
% 0.08/0.29 fof(f553,plain,(
% 0.08/0.29 $false|spl0_4),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f491,f418])).
% 0.08/0.29 fof(f554,plain,(
% 0.08/0.29 spl0_4),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f553])).
% 0.08/0.29 fof(f555,plain,(
% 0.08/0.29 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_14)),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f505,f549])).
% 0.08/0.29 fof(f578,plain,(
% 0.08/0.29 app(sk0_51,nil)=sk0_51),
% 0.08/0.29 inference(resolution,[status(thm)],[f389,f425])).
% 0.08/0.29 fof(f580,plain,(
% 0.08/0.29 app(sk0_48,nil)=sk0_48),
% 0.08/0.29 inference(resolution,[status(thm)],[f389,f418])).
% 0.08/0.29 fof(f581,plain,(
% 0.08/0.29 app(sk0_47,nil)=sk0_47),
% 0.08/0.29 inference(resolution,[status(thm)],[f389,f417])).
% 0.08/0.29 fof(f618,plain,(
% 0.08/0.29 spl0_24 <=> ssList(app(sk0_48,nil))),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f620,plain,(
% 0.08/0.29 ~ssList(app(sk0_48,nil))|spl0_24),
% 0.08/0.29 inference(component_clause,[status(thm)],[f618])).
% 0.08/0.29 fof(f621,plain,(
% 0.08/0.29 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_14),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f580,f555])).
% 0.08/0.29 fof(f622,plain,(
% 0.08/0.29 ~spl0_24|spl0_5|~spl0_8|~spl0_14),
% 0.08/0.29 inference(split_clause,[status(thm)],[f621,f618,f492,f510,f548])).
% 0.08/0.29 fof(f623,plain,(
% 0.08/0.29 spl0_25 <=> segmentP(sk0_48,sk0_52)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f624,plain,(
% 0.08/0.29 segmentP(sk0_48,sk0_52)|~spl0_25),
% 0.08/0.29 inference(component_clause,[status(thm)],[f623])).
% 0.08/0.29 fof(f626,plain,(
% 0.08/0.29 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_52)|~ssList(nil)|~spl0_3),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f580,f484])).
% 0.08/0.29 fof(f627,plain,(
% 0.08/0.29 ~spl0_24|spl0_25|~spl0_8|~spl0_3),
% 0.08/0.29 inference(split_clause,[status(thm)],[f626,f618,f623,f510,f474])).
% 0.08/0.29 fof(f633,plain,(
% 0.08/0.29 ~ssList(sk0_48)|spl0_24),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f580,f620])).
% 0.08/0.29 fof(f634,plain,(
% 0.08/0.29 $false|spl0_24),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f633,f418])).
% 0.08/0.29 fof(f635,plain,(
% 0.08/0.29 spl0_24),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f634])).
% 0.08/0.29 fof(f638,plain,(
% 0.08/0.29 spl0_27 <=> ssList(app(sk0_47,nil))),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f640,plain,(
% 0.08/0.29 ~ssList(app(sk0_47,nil))|spl0_27),
% 0.08/0.29 inference(component_clause,[status(thm)],[f638])).
% 0.08/0.29 fof(f646,plain,(
% 0.08/0.29 spl0_29 <=> segmentP(sk0_47,sk0_51)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f649,plain,(
% 0.08/0.29 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_51)|~ssList(nil)|~spl0_0),
% 0.08/0.29 inference(paramodulation,[status(thm)],[f581,f483])).
% 0.08/0.29 fof(f650,plain,(
% 0.08/0.29 ~spl0_27|spl0_29|~spl0_8|~spl0_0),
% 0.08/0.29 inference(split_clause,[status(thm)],[f649,f638,f646,f510,f463])).
% 0.08/0.29 fof(f656,plain,(
% 0.08/0.29 ~ssList(sk0_47)|spl0_27),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f581,f640])).
% 0.08/0.29 fof(f657,plain,(
% 0.08/0.29 $false|spl0_27),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f656,f417])).
% 0.08/0.29 fof(f658,plain,(
% 0.08/0.29 spl0_27),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f657])).
% 0.08/0.29 fof(f668,plain,(
% 0.08/0.29 spl0_32 <=> ssItem(sk0_0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f670,plain,(
% 0.08/0.29 ~ssItem(sk0_0)|spl0_32),
% 0.08/0.29 inference(component_clause,[status(thm)],[f668])).
% 0.08/0.29 fof(f681,plain,(
% 0.08/0.29 $false|spl0_32),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f670,f103])).
% 0.08/0.29 fof(f682,plain,(
% 0.08/0.29 spl0_32),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f681])).
% 0.08/0.29 fof(f683,plain,(
% 0.08/0.29 spl0_35 <=> ssItem(sk0_1)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f685,plain,(
% 0.08/0.29 ~ssItem(sk0_1)|spl0_35),
% 0.08/0.29 inference(component_clause,[status(thm)],[f683])).
% 0.08/0.29 fof(f696,plain,(
% 0.08/0.29 $false|spl0_35),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f685,f104])).
% 0.08/0.29 fof(f697,plain,(
% 0.08/0.29 spl0_35),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f696])).
% 0.08/0.29 fof(f702,plain,(
% 0.08/0.29 spl0_38 <=> ~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f703,plain,(
% 0.08/0.29 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_38)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f702])).
% 0.08/0.29 fof(f705,plain,(
% 0.08/0.29 ![X0]: (~ssList(X0)|~ssList(nil)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.08/0.29 inference(resolution,[status(thm)],[f220,f424])).
% 0.08/0.29 fof(f706,plain,(
% 0.08/0.29 spl0_38|~spl0_8),
% 0.08/0.29 inference(split_clause,[status(thm)],[f705,f702,f510])).
% 0.08/0.29 fof(f707,plain,(
% 0.08/0.29 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_38)),
% 0.08/0.29 inference(duplicate_literals_removal,[status(esa)],[f703])).
% 0.08/0.29 fof(f708,plain,(
% 0.08/0.29 spl0_39 <=> sk0_52=nil),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f709,plain,(
% 0.08/0.29 sk0_52=nil|~spl0_39),
% 0.08/0.29 inference(component_clause,[status(thm)],[f708])).
% 0.08/0.29 fof(f711,plain,(
% 0.08/0.29 ~ssList(sk0_52)|sk0_52=nil|~segmentP(sk0_47,sk0_52)|~spl0_38|~spl0_25),
% 0.08/0.29 inference(resolution,[status(thm)],[f707,f624])).
% 0.08/0.29 fof(f712,plain,(
% 0.08/0.29 ~spl0_2|spl0_39|~spl0_10|~spl0_38|~spl0_25),
% 0.08/0.29 inference(split_clause,[status(thm)],[f711,f469,f708,f521,f702,f623])).
% 0.08/0.29 fof(f718,plain,(
% 0.08/0.29 spl0_41 <=> sk0_51=nil),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f719,plain,(
% 0.08/0.29 sk0_51=nil|~spl0_41),
% 0.08/0.29 inference(component_clause,[status(thm)],[f718])).
% 0.08/0.29 fof(f721,plain,(
% 0.08/0.29 ~ssList(sk0_51)|sk0_51=nil|~segmentP(sk0_47,sk0_51)|~spl0_38|~spl0_13),
% 0.08/0.29 inference(resolution,[status(thm)],[f707,f540])).
% 0.08/0.29 fof(f722,plain,(
% 0.08/0.29 ~spl0_1|spl0_41|~spl0_29|~spl0_38|~spl0_13),
% 0.08/0.29 inference(split_clause,[status(thm)],[f721,f466,f718,f646,f702,f539])).
% 0.08/0.29 fof(f730,plain,(
% 0.08/0.29 segmentP(sk0_48,nil)|~spl0_39|~spl0_25),
% 0.08/0.29 inference(backward_demodulation,[status(thm)],[f709,f624])).
% 0.08/0.29 fof(f742,plain,(
% 0.08/0.29 app(nil,sk0_51)=sk0_47|~spl0_39),
% 0.08/0.29 inference(backward_demodulation,[status(thm)],[f709,f462])).
% 0.08/0.29 fof(f743,plain,(
% 0.08/0.29 sk0_51=sk0_47|~spl0_39),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f503,f742])).
% 0.08/0.29 fof(f744,plain,(
% 0.08/0.29 app(sk0_51,nil)=sk0_48|~spl0_39),
% 0.08/0.29 inference(backward_demodulation,[status(thm)],[f709,f461])).
% 0.08/0.29 fof(f745,plain,(
% 0.08/0.29 sk0_51=sk0_48|~spl0_39),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f578,f744])).
% 0.08/0.29 fof(f834,plain,(
% 0.08/0.29 nil=sk0_47|~spl0_41|~spl0_39),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f719,f743])).
% 0.08/0.29 fof(f847,plain,(
% 0.08/0.29 ~segmentP(nil,sk0_48)|~spl0_41|~spl0_39|spl0_6),
% 0.08/0.29 inference(backward_demodulation,[status(thm)],[f834,f497])).
% 0.08/0.29 fof(f851,plain,(
% 0.08/0.29 nil=sk0_48|~spl0_41|~spl0_39),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f719,f745])).
% 0.08/0.29 fof(f874,plain,(
% 0.08/0.29 segmentP(nil,nil)|~spl0_41|~spl0_39|~spl0_25),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f851,f730])).
% 0.08/0.29 fof(f877,plain,(
% 0.08/0.29 ~segmentP(nil,nil)|~spl0_41|~spl0_39|spl0_6),
% 0.08/0.29 inference(forward_demodulation,[status(thm)],[f851,f847])).
% 0.08/0.29 fof(f878,plain,(
% 0.08/0.29 $false|~spl0_25|~spl0_41|~spl0_39|spl0_6),
% 0.08/0.29 inference(forward_subsumption_resolution,[status(thm)],[f877,f874])).
% 0.08/0.29 fof(f879,plain,(
% 0.08/0.29 ~spl0_25|~spl0_41|~spl0_39|spl0_6),
% 0.08/0.29 inference(contradiction_clause,[status(thm)],[f878])).
% 0.08/0.29 fof(f880,plain,(
% 0.08/0.29 $false),
% 0.08/0.29 inference(sat_refutation,[status(thm)],[f473,f478,f480,f482,f499,f514,f516,f525,f528,f534,f543,f546,f552,f554,f622,f627,f635,f650,f658,f682,f697,f706,f712,f722,f879])).
% 0.12/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.30 % Elapsed time: 0.021007 seconds
% 0.12/0.30 % CPU time: 0.047098 seconds
% 0.12/0.30 % Total memory used: 17.108 MB
% 0.12/0.30 % Net memory used: 17.049 MB
%------------------------------------------------------------------------------