TSTP Solution File: SWC083+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC083+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:44:27 EDT 2024
% Result : Theorem 0.18s 0.60s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC083+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:39:48 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.18/0.60 % Refutation found
% 0.18/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.60 fof(f7,axiom,(
% 0.18/0.60 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f15,axiom,(
% 0.18/0.60 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f17,axiom,(
% 0.18/0.60 ssList(nil) ),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f26,axiom,(
% 0.18/0.60 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f28,axiom,(
% 0.18/0.60 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f55,axiom,(
% 0.18/0.60 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f84,axiom,(
% 0.18/0.60 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f96,conjecture,(
% 0.18/0.60 (! [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)=> (! [X2] :( ~ ssList(X2)| app(app(Z,X1),X2) != W| app(Z,X2) != X ) )) )) )) )) )) )) )),
% 0.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.60 fof(f97,negated_conjecture,(
% 0.18/0.60 ~((! [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)=> (! [X2] :( ~ ssList(X2)| app(app(Z,X1),X2) != W| app(Z,X2) != X ) )) )) )) )) )) )) ))),
% 0.18/0.60 inference(negated_conjecture,[status(cth)],[f96])).
% 0.18/0.60 fof(f131,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.18/0.60 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.18/0.60 fof(f132,plain,(
% 0.18/0.60 ![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)))))))))),
% 0.18/0.60 inference(NNF_transformation,[status(esa)],[f131])).
% 0.18/0.60 fof(f133,plain,(
% 0.18/0.60 ![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)))))))))),
% 0.18/0.60 inference(skolemization,[status(esa)],[f132])).
% 0.18/0.60 fof(f137,plain,(
% 0.18/0.60 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.18/0.60 inference(cnf_transformation,[status(esa)],[f133])).
% 0.18/0.60 fof(f217,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.18/0.60 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.18/0.60 fof(f218,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.18/0.60 inference(NNF_transformation,[status(esa)],[f217])).
% 0.18/0.60 fof(f220,plain,(
% 0.18/0.60 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.18/0.60 inference(cnf_transformation,[status(esa)],[f218])).
% 0.18/0.60 fof(f223,plain,(
% 0.18/0.60 ssList(nil)),
% 0.18/0.60 inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.60 fof(f244,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.18/0.60 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.18/0.60 fof(f245,plain,(
% 0.18/0.60 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.18/0.60 inference(cnf_transformation,[status(esa)],[f244])).
% 0.18/0.60 fof(f248,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.18/0.60 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.18/0.60 fof(f249,plain,(
% 0.18/0.60 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.18/0.60 inference(cnf_transformation,[status(esa)],[f248])).
% 0.18/0.60 fof(f318,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.18/0.60 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.18/0.60 fof(f319,plain,(
% 0.18/0.60 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.18/0.60 inference(cnf_transformation,[status(esa)],[f318])).
% 0.18/0.60 fof(f388,plain,(
% 0.18/0.60 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.18/0.61 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.18/0.61 fof(f389,plain,(
% 0.18/0.61 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f388])).
% 0.18/0.61 fof(f415,plain,(
% 0.18/0.61 (?[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)&(?[X2]: ((ssList(X2)&app(app(Z,X1),X2)=W)&app(Z,X2)=X))))))))))))))),
% 0.18/0.61 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.18/0.61 fof(f416,plain,(
% 0.18/0.61 (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)&((ssList(sk0_53)&app(app(sk0_51,sk0_52),sk0_53)=sk0_49)&app(sk0_51,sk0_53)=sk0_50)))))))),
% 0.18/0.61 inference(skolemization,[status(esa)],[f415])).
% 0.18/0.61 fof(f417,plain,(
% 0.18/0.61 ssList(sk0_47)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f418,plain,(
% 0.18/0.61 ssList(sk0_48)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f421,plain,(
% 0.18/0.61 sk0_48=sk0_50),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f422,plain,(
% 0.18/0.61 sk0_47=sk0_49),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f423,plain,(
% 0.18/0.61 neq(sk0_48,nil)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f424,plain,(
% 0.18/0.61 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f425,plain,(
% 0.18/0.61 ssList(sk0_51)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f426,plain,(
% 0.18/0.61 ssList(sk0_52)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f427,plain,(
% 0.18/0.61 ssList(sk0_53)),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f428,plain,(
% 0.18/0.61 app(app(sk0_51,sk0_52),sk0_53)=sk0_49),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f429,plain,(
% 0.18/0.61 app(sk0_51,sk0_53)=sk0_50),
% 0.18/0.61 inference(cnf_transformation,[status(esa)],[f416])).
% 0.18/0.61 fof(f436,plain,(
% 0.18/0.61 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.18/0.61 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.18/0.61 fof(f460,plain,(
% 0.18/0.61 app(app(sk0_51,sk0_52),sk0_53)=sk0_47),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f422,f428])).
% 0.18/0.61 fof(f461,plain,(
% 0.18/0.61 app(sk0_51,sk0_53)=sk0_48),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f421,f429])).
% 0.18/0.61 fof(f488,plain,(
% 0.18/0.61 spl0_0 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_51,sk0_53),X0),sk0_53)|~ssList(X0)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f489,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_51,sk0_53),X0),sk0_53)|~ssList(X0)|~spl0_0)),
% 0.18/0.61 inference(component_clause,[status(thm)],[f488])).
% 0.18/0.61 fof(f491,plain,(
% 0.18/0.61 spl0_1 <=> ssList(sk0_53)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f493,plain,(
% 0.18/0.61 ~ssList(sk0_53)|spl0_1),
% 0.18/0.61 inference(component_clause,[status(thm)],[f491])).
% 0.18/0.61 fof(f494,plain,(
% 0.18/0.61 spl0_2 <=> ssList(sk0_51)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f496,plain,(
% 0.18/0.61 ~ssList(sk0_51)|spl0_2),
% 0.18/0.61 inference(component_clause,[status(thm)],[f494])).
% 0.18/0.61 fof(f497,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_53)|segmentP(app(app(sk0_51,sk0_53),X0),sk0_53)|~ssList(sk0_51)|~ssList(X0))),
% 0.18/0.61 inference(paramodulation,[status(thm)],[f461,f436])).
% 0.18/0.61 fof(f498,plain,(
% 0.18/0.61 spl0_0|~spl0_1|~spl0_2),
% 0.18/0.61 inference(split_clause,[status(thm)],[f497,f488,f491,f494])).
% 0.18/0.61 fof(f499,plain,(
% 0.18/0.61 $false|spl0_2),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f496,f425])).
% 0.18/0.61 fof(f500,plain,(
% 0.18/0.61 spl0_2),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f499])).
% 0.18/0.61 fof(f501,plain,(
% 0.18/0.61 $false|spl0_1),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f493,f427])).
% 0.18/0.61 fof(f502,plain,(
% 0.18/0.61 spl0_1),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f501])).
% 0.18/0.61 fof(f503,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_53)|~ssList(X0)|~spl0_0)),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f461,f489])).
% 0.18/0.61 fof(f507,plain,(
% 0.18/0.61 spl0_4 <=> ssList(sk0_52)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f509,plain,(
% 0.18/0.61 ~ssList(sk0_52)|spl0_4),
% 0.18/0.61 inference(component_clause,[status(thm)],[f507])).
% 0.18/0.61 fof(f515,plain,(
% 0.18/0.61 spl0_6 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(app(sk0_51,sk0_52),sk0_53),X0),sk0_53)|~ssList(X0)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f516,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(app(sk0_51,sk0_52),sk0_53),X0),sk0_53)|~ssList(X0)|~spl0_6)),
% 0.18/0.61 inference(component_clause,[status(thm)],[f515])).
% 0.18/0.61 fof(f518,plain,(
% 0.18/0.61 spl0_7 <=> ssList(app(sk0_51,sk0_52))),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f519,plain,(
% 0.18/0.61 ssList(app(sk0_51,sk0_52))|~spl0_7),
% 0.18/0.61 inference(component_clause,[status(thm)],[f518])).
% 0.18/0.61 fof(f520,plain,(
% 0.18/0.61 ~ssList(app(sk0_51,sk0_52))|spl0_7),
% 0.18/0.61 inference(component_clause,[status(thm)],[f518])).
% 0.18/0.61 fof(f521,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_53)|segmentP(app(app(app(sk0_51,sk0_52),sk0_53),X0),sk0_53)|~ssList(app(sk0_51,sk0_52))|~ssList(X0))),
% 0.18/0.61 inference(paramodulation,[status(thm)],[f460,f436])).
% 0.18/0.61 fof(f522,plain,(
% 0.18/0.61 spl0_6|~spl0_1|~spl0_7),
% 0.18/0.61 inference(split_clause,[status(thm)],[f521,f515,f491,f518])).
% 0.18/0.61 fof(f523,plain,(
% 0.18/0.61 $false|spl0_4),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f509,f426])).
% 0.18/0.61 fof(f524,plain,(
% 0.18/0.61 spl0_4),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f523])).
% 0.18/0.61 fof(f540,plain,(
% 0.18/0.61 segmentP(nil,nil)),
% 0.18/0.61 inference(resolution,[status(thm)],[f319,f223])).
% 0.18/0.61 fof(f542,plain,(
% 0.18/0.61 segmentP(sk0_48,sk0_48)),
% 0.18/0.61 inference(resolution,[status(thm)],[f319,f418])).
% 0.18/0.61 fof(f544,plain,(
% 0.18/0.61 spl0_10 <=> ssList(sk0_48)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f546,plain,(
% 0.18/0.61 ~ssList(sk0_48)|spl0_10),
% 0.18/0.61 inference(component_clause,[status(thm)],[f544])).
% 0.18/0.61 fof(f547,plain,(
% 0.18/0.61 spl0_11 <=> neq(sk0_48,nil)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f549,plain,(
% 0.18/0.61 ~neq(sk0_48,nil)|spl0_11),
% 0.18/0.61 inference(component_clause,[status(thm)],[f547])).
% 0.18/0.61 fof(f550,plain,(
% 0.18/0.61 spl0_12 <=> segmentP(sk0_47,sk0_48)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f553,plain,(
% 0.18/0.61 ~ssList(sk0_48)|~neq(sk0_48,nil)|~segmentP(sk0_47,sk0_48)),
% 0.18/0.61 inference(resolution,[status(thm)],[f542,f424])).
% 0.18/0.61 fof(f554,plain,(
% 0.18/0.61 ~spl0_10|~spl0_11|~spl0_12),
% 0.18/0.61 inference(split_clause,[status(thm)],[f553,f544,f547,f550])).
% 0.18/0.61 fof(f563,plain,(
% 0.18/0.61 spl0_15 <=> ssList(nil)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f565,plain,(
% 0.18/0.61 ~ssList(nil)|spl0_15),
% 0.18/0.61 inference(component_clause,[status(thm)],[f563])).
% 0.18/0.61 fof(f581,plain,(
% 0.18/0.61 $false|spl0_11),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f549,f423])).
% 0.18/0.61 fof(f582,plain,(
% 0.18/0.61 spl0_11),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f581])).
% 0.18/0.61 fof(f586,plain,(
% 0.18/0.61 $false|spl0_15),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f565,f223])).
% 0.18/0.61 fof(f587,plain,(
% 0.18/0.61 spl0_15),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f586])).
% 0.18/0.61 fof(f598,plain,(
% 0.18/0.61 app(nil,sk0_48)=sk0_48),
% 0.18/0.61 inference(resolution,[status(thm)],[f249,f418])).
% 0.18/0.61 fof(f638,plain,(
% 0.18/0.61 spl0_26 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f639,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_26)),
% 0.18/0.61 inference(component_clause,[status(thm)],[f638])).
% 0.18/0.61 fof(f641,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.18/0.61 inference(paramodulation,[status(thm)],[f598,f436])).
% 0.18/0.61 fof(f642,plain,(
% 0.18/0.61 spl0_26|~spl0_10|~spl0_15),
% 0.18/0.61 inference(split_clause,[status(thm)],[f641,f638,f544,f563])).
% 0.18/0.61 fof(f643,plain,(
% 0.18/0.61 $false|spl0_10),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f546,f418])).
% 0.18/0.61 fof(f644,plain,(
% 0.18/0.61 spl0_10),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f643])).
% 0.18/0.61 fof(f645,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_26)),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f598,f639])).
% 0.18/0.61 fof(f663,plain,(
% 0.18/0.61 app(sk0_51,nil)=sk0_51),
% 0.18/0.61 inference(resolution,[status(thm)],[f389,f425])).
% 0.18/0.61 fof(f664,plain,(
% 0.18/0.61 app(sk0_48,nil)=sk0_48),
% 0.18/0.61 inference(resolution,[status(thm)],[f389,f418])).
% 0.18/0.61 fof(f665,plain,(
% 0.18/0.61 app(sk0_47,nil)=sk0_47),
% 0.18/0.61 inference(resolution,[status(thm)],[f389,f417])).
% 0.18/0.61 fof(f720,plain,(
% 0.18/0.61 spl0_38 <=> ssList(app(sk0_48,nil))),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f722,plain,(
% 0.18/0.61 ~ssList(app(sk0_48,nil))|spl0_38),
% 0.18/0.61 inference(component_clause,[status(thm)],[f720])).
% 0.18/0.61 fof(f723,plain,(
% 0.18/0.61 spl0_39 <=> segmentP(sk0_48,sk0_53)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f724,plain,(
% 0.18/0.61 segmentP(sk0_48,sk0_53)|~spl0_39),
% 0.18/0.61 inference(component_clause,[status(thm)],[f723])).
% 0.18/0.61 fof(f726,plain,(
% 0.18/0.61 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_53)|~ssList(nil)|~spl0_0),
% 0.18/0.61 inference(paramodulation,[status(thm)],[f664,f503])).
% 0.18/0.61 fof(f727,plain,(
% 0.18/0.61 ~spl0_38|spl0_39|~spl0_15|~spl0_0),
% 0.18/0.61 inference(split_clause,[status(thm)],[f726,f720,f723,f563,f488])).
% 0.18/0.61 fof(f733,plain,(
% 0.18/0.61 ~ssList(sk0_48)|spl0_38),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f664,f722])).
% 0.18/0.61 fof(f734,plain,(
% 0.18/0.61 $false|spl0_38),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f733,f418])).
% 0.18/0.61 fof(f735,plain,(
% 0.18/0.61 spl0_38),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f734])).
% 0.18/0.61 fof(f775,plain,(
% 0.18/0.61 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.18/0.61 inference(resolution,[status(thm)],[f220,f223])).
% 0.18/0.61 fof(f1036,plain,(
% 0.18/0.61 ~ssList(sk0_51)|~ssList(sk0_52)|spl0_7),
% 0.18/0.61 inference(resolution,[status(thm)],[f520,f245])).
% 0.18/0.61 fof(f1037,plain,(
% 0.18/0.61 ~spl0_2|~spl0_4|spl0_7),
% 0.18/0.61 inference(split_clause,[status(thm)],[f1036,f494,f507,f518])).
% 0.18/0.61 fof(f1038,plain,(
% 0.18/0.61 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_53)|~ssList(X0)|~spl0_6)),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f460,f516])).
% 0.18/0.61 fof(f1040,plain,(
% 0.18/0.61 app(app(sk0_51,sk0_52),nil)=app(sk0_51,sk0_52)|~spl0_7),
% 0.18/0.61 inference(resolution,[status(thm)],[f519,f389])).
% 0.18/0.61 fof(f1068,plain,(
% 0.18/0.61 spl0_53 <=> neq(sk0_53,nil)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f1070,plain,(
% 0.18/0.61 ~neq(sk0_53,nil)|spl0_53),
% 0.18/0.61 inference(component_clause,[status(thm)],[f1068])).
% 0.18/0.61 fof(f1071,plain,(
% 0.18/0.61 spl0_54 <=> segmentP(sk0_47,sk0_53)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f1074,plain,(
% 0.18/0.61 ~ssList(sk0_53)|~neq(sk0_53,nil)|~segmentP(sk0_47,sk0_53)|~spl0_39),
% 0.18/0.61 inference(resolution,[status(thm)],[f424,f724])).
% 0.18/0.61 fof(f1075,plain,(
% 0.18/0.61 ~spl0_1|~spl0_53|~spl0_54|~spl0_39),
% 0.18/0.61 inference(split_clause,[status(thm)],[f1074,f491,f1068,f1071,f723])).
% 0.18/0.61 fof(f1119,plain,(
% 0.18/0.61 spl0_56 <=> ssList(app(sk0_47,nil))),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f1121,plain,(
% 0.18/0.61 ~ssList(app(sk0_47,nil))|spl0_56),
% 0.18/0.61 inference(component_clause,[status(thm)],[f1119])).
% 0.18/0.61 fof(f1122,plain,(
% 0.18/0.61 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_53)|~ssList(nil)|~spl0_6),
% 0.18/0.61 inference(paramodulation,[status(thm)],[f665,f1038])).
% 0.18/0.61 fof(f1123,plain,(
% 0.18/0.61 ~spl0_56|spl0_54|~spl0_15|~spl0_6),
% 0.18/0.61 inference(split_clause,[status(thm)],[f1122,f1119,f1071,f563,f515])).
% 0.18/0.61 fof(f1131,plain,(
% 0.18/0.61 ~ssList(sk0_47)|spl0_56),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f665,f1121])).
% 0.18/0.61 fof(f1132,plain,(
% 0.18/0.61 $false|spl0_56),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1131,f417])).
% 0.18/0.61 fof(f1133,plain,(
% 0.18/0.61 spl0_56),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f1132])).
% 0.18/0.61 fof(f1190,plain,(
% 0.18/0.61 spl0_66 <=> segmentP(nil,nil)),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f1192,plain,(
% 0.18/0.61 ~segmentP(nil,nil)|spl0_66),
% 0.18/0.61 inference(component_clause,[status(thm)],[f1190])).
% 0.18/0.61 fof(f1209,plain,(
% 0.18/0.61 $false|spl0_66),
% 0.18/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1192,f540])).
% 0.18/0.61 fof(f1210,plain,(
% 0.18/0.61 spl0_66),
% 0.18/0.61 inference(contradiction_clause,[status(thm)],[f1209])).
% 0.18/0.61 fof(f1259,plain,(
% 0.18/0.61 spl0_67 <=> sk0_53=nil),
% 0.18/0.61 introduced(split_symbol_definition)).
% 0.18/0.61 fof(f1260,plain,(
% 0.18/0.61 sk0_53=nil|~spl0_67),
% 0.18/0.61 inference(component_clause,[status(thm)],[f1259])).
% 0.18/0.61 fof(f1262,plain,(
% 0.18/0.61 ~ssList(sk0_53)|sk0_53=nil|spl0_53),
% 0.18/0.61 inference(resolution,[status(thm)],[f1070,f775])).
% 0.18/0.61 fof(f1263,plain,(
% 0.18/0.61 ~spl0_1|spl0_67|spl0_53),
% 0.18/0.61 inference(split_clause,[status(thm)],[f1262,f491,f1259,f1068])).
% 0.18/0.61 fof(f1273,plain,(
% 0.18/0.61 app(sk0_51,nil)=sk0_48|~spl0_67),
% 0.18/0.61 inference(backward_demodulation,[status(thm)],[f1260,f461])).
% 0.18/0.61 fof(f1274,plain,(
% 0.18/0.61 sk0_51=sk0_48|~spl0_67),
% 0.18/0.61 inference(forward_demodulation,[status(thm)],[f663,f1273])).
% 0.18/0.61 fof(f1294,plain,(
% 0.18/0.61 app(app(sk0_51,sk0_52),nil)=sk0_47|~spl0_67),
% 0.18/0.61 inference(backward_demodulation,[status(thm)],[f1260,f460])).
% 1.83/0.61 fof(f1295,plain,(
% 1.83/0.61 app(sk0_51,sk0_52)=sk0_47|~spl0_7|~spl0_67),
% 1.83/0.61 inference(forward_demodulation,[status(thm)],[f1040,f1294])).
% 1.83/0.61 fof(f1296,plain,(
% 1.83/0.61 app(sk0_48,sk0_52)=sk0_47|~spl0_7|~spl0_67),
% 1.83/0.61 inference(forward_demodulation,[status(thm)],[f1274,f1295])).
% 1.83/0.61 fof(f1388,plain,(
% 1.83/0.61 spl0_68 <=> ssList(app(sk0_48,sk0_52))),
% 1.83/0.61 introduced(split_symbol_definition)).
% 1.83/0.61 fof(f1390,plain,(
% 1.83/0.61 ~ssList(app(sk0_48,sk0_52))|spl0_68),
% 1.83/0.61 inference(component_clause,[status(thm)],[f1388])).
% 1.83/0.61 fof(f1391,plain,(
% 1.83/0.61 ~ssList(app(sk0_48,sk0_52))|segmentP(sk0_47,sk0_48)|~ssList(sk0_52)|~spl0_26|~spl0_7|~spl0_67),
% 1.83/0.61 inference(paramodulation,[status(thm)],[f1296,f645])).
% 1.83/0.61 fof(f1392,plain,(
% 1.83/0.61 ~spl0_68|spl0_12|~spl0_4|~spl0_26|~spl0_7|~spl0_67),
% 1.83/0.61 inference(split_clause,[status(thm)],[f1391,f1388,f550,f507,f638,f518,f1259])).
% 1.83/0.61 fof(f1395,plain,(
% 1.83/0.61 ~ssList(sk0_47)|~spl0_7|~spl0_67|spl0_68),
% 1.83/0.61 inference(forward_demodulation,[status(thm)],[f1296,f1390])).
% 1.83/0.61 fof(f1396,plain,(
% 1.83/0.61 $false|~spl0_7|~spl0_67|spl0_68),
% 1.83/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1395,f417])).
% 1.83/0.61 fof(f1397,plain,(
% 1.83/0.61 ~spl0_7|~spl0_67|spl0_68),
% 1.83/0.61 inference(contradiction_clause,[status(thm)],[f1396])).
% 1.83/0.61 fof(f1398,plain,(
% 1.83/0.61 $false),
% 1.83/0.61 inference(sat_refutation,[status(thm)],[f498,f500,f502,f522,f524,f554,f582,f587,f642,f644,f727,f735,f1037,f1075,f1123,f1133,f1210,f1263,f1392,f1397])).
% 1.83/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.83/0.62 % Elapsed time: 0.276812 seconds
% 1.83/0.62 % CPU time: 2.037365 seconds
% 1.83/0.62 % Total memory used: 87.472 MB
% 1.83/0.62 % Net memory used: 86.183 MB
%------------------------------------------------------------------------------