TSTP Solution File: SWC355+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC355+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:40:10 EDT 2023
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC355+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n009.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:17:31 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.31 fof(f1,axiom,(
% 0.14/0.31 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f2,axiom,(
% 0.14/0.31 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f7,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f15,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f16,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f17,axiom,(
% 0.14/0.31 ssList(nil) ),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f28,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f57,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f58,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f84,axiom,(
% 0.14/0.31 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f96,conjecture,(
% 0.14/0.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (! [Y] :( ssItem(Y)=> app(W,cons(Y,nil)) != X ))| segmentP(V,U) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f97,negated_conjecture,(
% 0.14/0.31 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (! [Y] :( ssItem(Y)=> app(W,cons(Y,nil)) != X ))| segmentP(V,U) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.14/0.31 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.31 fof(f98,plain,(
% 0.14/0.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.31 fof(f99,plain,(
% 0.14/0.31 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f98])).
% 0.14/0.31 fof(f100,plain,(
% 0.14/0.31 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.31 fof(f101,plain,(
% 0.14/0.31 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.31 fof(f102,plain,(
% 0.14/0.31 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f2])).
% 0.14/0.31 fof(f103,plain,(
% 0.14/0.31 ssItem(sk0_0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.31 fof(f131,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.31 fof(f132,plain,(
% 0.14/0.31 ![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)))))))))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f131])).
% 0.14/0.31 fof(f133,plain,(
% 0.14/0.31 ![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)))))))))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f132])).
% 0.14/0.31 fof(f137,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f133])).
% 0.14/0.31 fof(f217,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.31 fof(f218,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f217])).
% 0.14/0.31 fof(f219,plain,(
% 0.14/0.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.31 fof(f220,plain,(
% 0.14/0.31 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.31 fof(f221,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.14/0.31 fof(f222,plain,(
% 0.14/0.31 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f221])).
% 0.14/0.31 fof(f223,plain,(
% 0.14/0.31 ssList(nil)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.31 fof(f248,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.14/0.31 fof(f249,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f248])).
% 0.14/0.31 fof(f322,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.14/0.31 fof(f323,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f322])).
% 0.14/0.31 fof(f324,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.14/0.31 fof(f325,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f324])).
% 0.14/0.31 fof(f326,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f325])).
% 0.14/0.31 fof(f388,plain,(
% 0.14/0.31 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.14/0.31 fof(f389,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f388])).
% 0.14/0.31 fof(f415,plain,(
% 0.14/0.31 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(?[Y]: (ssItem(Y)&app(W,cons(Y,nil))=X)))&~segmentP(V,U))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.31 fof(f416,plain,(
% 0.14/0.31 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(?[Y]: (ssItem(Y)&app(W,cons(Y,nil))=X)))&~segmentP(V,U)))),
% 0.14/0.31 introduced(predicate_definition,[f415])).
% 0.14/0.31 fof(f417,plain,(
% 0.14/0.31 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 0.14/0.31 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.31 fof(f418,plain,(
% 0.14/0.31 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((sk0_48=sk0_50&sk0_47=sk0_49)&(pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|(neq(sk0_48,nil)&~neq(sk0_50,nil))))))))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f417])).
% 0.14/0.31 fof(f419,plain,(
% 0.14/0.31 ssList(sk0_47)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.31 fof(f420,plain,(
% 0.14/0.31 ssList(sk0_48)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.31 fof(f423,plain,(
% 0.14/0.31 sk0_48=sk0_50),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.31 fof(f424,plain,(
% 0.14/0.31 sk0_47=sk0_49),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.31 fof(f425,plain,(
% 0.14/0.31 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.31 fof(f426,plain,(
% 0.14/0.31 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.31 fof(f427,plain,(
% 0.14/0.31 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(?[Y]: (ssItem(Y)&app(W,cons(Y,nil))=X)))&~segmentP(V,U)))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.14/0.31 fof(f428,plain,(
% 0.14/0.31 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(ssItem(sk0_51(X,W,V,U))&app(W,cons(sk0_51(X,W,V,U),nil))=X))&~segmentP(V,U)))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f427])).
% 0.14/0.31 fof(f430,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.31 fof(f431,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(X1,cons(sk0_51(X0,X1,X2,X3),nil))=X0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.31 fof(f432,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|~segmentP(X2,X3))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f428])).
% 0.14/0.31 fof(f433,plain,(
% 0.14/0.31 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f434,plain,(
% 0.14/0.31 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.14/0.31 inference(component_clause,[status(thm)],[f433])).
% 0.14/0.31 fof(f436,plain,(
% 0.14/0.31 spl0_1 <=> neq(sk0_48,nil)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f437,plain,(
% 0.14/0.31 neq(sk0_48,nil)|~spl0_1),
% 0.14/0.31 inference(component_clause,[status(thm)],[f436])).
% 0.14/0.31 fof(f439,plain,(
% 0.14/0.31 spl0_0|spl0_1),
% 0.14/0.31 inference(split_clause,[status(thm)],[f425,f433,f436])).
% 0.14/0.31 fof(f440,plain,(
% 0.14/0.31 spl0_2 <=> neq(sk0_50,nil)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f442,plain,(
% 0.14/0.31 ~neq(sk0_50,nil)|spl0_2),
% 0.14/0.31 inference(component_clause,[status(thm)],[f440])).
% 0.14/0.31 fof(f443,plain,(
% 0.14/0.31 spl0_0|~spl0_2),
% 0.14/0.31 inference(split_clause,[status(thm)],[f426,f433,f440])).
% 0.14/0.31 fof(f444,plain,(
% 0.14/0.31 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.14/0.31 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.14/0.31 fof(f445,plain,(
% 0.14/0.31 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.14/0.31 inference(duplicate_literals_removal,[status(esa)],[f444])).
% 0.14/0.31 fof(f450,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.14/0.31 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.14/0.31 fof(f459,plain,(
% 0.14/0.31 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.14/0.31 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.14/0.31 fof(f460,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.14/0.31 inference(duplicate_literals_removal,[status(esa)],[f459])).
% 0.14/0.31 fof(f476,plain,(
% 0.14/0.31 app(nil,nil)=nil),
% 0.14/0.31 inference(resolution,[status(thm)],[f249,f223])).
% 0.14/0.31 fof(f477,plain,(
% 0.14/0.31 app(nil,sk0_48)=sk0_48),
% 0.14/0.31 inference(resolution,[status(thm)],[f249,f420])).
% 0.14/0.31 fof(f478,plain,(
% 0.14/0.31 app(nil,sk0_47)=sk0_47),
% 0.14/0.31 inference(resolution,[status(thm)],[f249,f419])).
% 0.14/0.31 fof(f480,plain,(
% 0.14/0.31 app(sk0_48,nil)=sk0_48),
% 0.14/0.31 inference(resolution,[status(thm)],[f389,f420])).
% 0.14/0.31 fof(f481,plain,(
% 0.14/0.31 app(sk0_47,nil)=sk0_47),
% 0.14/0.31 inference(resolution,[status(thm)],[f389,f419])).
% 0.14/0.31 fof(f482,plain,(
% 0.14/0.31 spl0_3 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f483,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_3)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f482])).
% 0.14/0.31 fof(f485,plain,(
% 0.14/0.31 spl0_4 <=> ssList(sk0_47)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f487,plain,(
% 0.14/0.31 ~ssList(sk0_47)|spl0_4),
% 0.14/0.31 inference(component_clause,[status(thm)],[f485])).
% 0.14/0.31 fof(f488,plain,(
% 0.14/0.31 spl0_5 <=> ssList(nil)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f490,plain,(
% 0.14/0.31 ~ssList(nil)|spl0_5),
% 0.14/0.31 inference(component_clause,[status(thm)],[f488])).
% 0.14/0.31 fof(f491,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f478,f450])).
% 0.14/0.31 fof(f492,plain,(
% 0.14/0.31 spl0_3|~spl0_4|~spl0_5),
% 0.14/0.31 inference(split_clause,[status(thm)],[f491,f482,f485,f488])).
% 0.14/0.31 fof(f493,plain,(
% 0.14/0.31 spl0_6 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f494,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_6)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f493])).
% 0.14/0.31 fof(f496,plain,(
% 0.14/0.31 spl0_7 <=> ssList(sk0_48)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f498,plain,(
% 0.14/0.31 ~ssList(sk0_48)|spl0_7),
% 0.14/0.31 inference(component_clause,[status(thm)],[f496])).
% 0.14/0.31 fof(f499,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f477,f450])).
% 0.14/0.31 fof(f500,plain,(
% 0.14/0.31 spl0_6|~spl0_7|~spl0_5),
% 0.14/0.31 inference(split_clause,[status(thm)],[f499,f493,f496,f488])).
% 0.14/0.31 fof(f501,plain,(
% 0.14/0.31 spl0_8 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f504,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f476,f450])).
% 0.14/0.31 fof(f505,plain,(
% 0.14/0.31 spl0_8|~spl0_5),
% 0.14/0.31 inference(split_clause,[status(thm)],[f504,f501,f488])).
% 0.14/0.31 fof(f506,plain,(
% 0.14/0.31 $false|spl0_5),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f490,f223])).
% 0.14/0.31 fof(f507,plain,(
% 0.14/0.31 spl0_5),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f506])).
% 0.14/0.31 fof(f508,plain,(
% 0.14/0.31 $false|spl0_4),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f487,f419])).
% 0.14/0.31 fof(f509,plain,(
% 0.14/0.31 spl0_4),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f508])).
% 0.14/0.31 fof(f510,plain,(
% 0.14/0.31 $false|spl0_7),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f498,f420])).
% 0.14/0.31 fof(f511,plain,(
% 0.14/0.31 spl0_7),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f510])).
% 0.14/0.31 fof(f513,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_3)),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f478,f483])).
% 0.14/0.31 fof(f514,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_6)),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f477,f494])).
% 0.14/0.31 fof(f515,plain,(
% 0.14/0.31 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 0.14/0.31 inference(resolution,[status(thm)],[f103,f101])).
% 0.14/0.31 fof(f516,plain,(
% 0.14/0.31 ~neq(sk0_0,sk0_0)),
% 0.14/0.31 inference(resolution,[status(thm)],[f103,f445])).
% 0.14/0.31 fof(f519,plain,(
% 0.14/0.31 ~neq(sk0_48,nil)|spl0_2),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f423,f442])).
% 0.14/0.31 fof(f520,plain,(
% 0.14/0.31 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f423,f434])).
% 0.14/0.31 fof(f521,plain,(
% 0.14/0.31 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f424,f520])).
% 0.14/0.31 fof(f522,plain,(
% 0.14/0.31 spl0_9 <=> ssList(app(sk0_48,nil))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f524,plain,(
% 0.14/0.31 ~ssList(app(sk0_48,nil))|spl0_9),
% 0.14/0.31 inference(component_clause,[status(thm)],[f522])).
% 0.14/0.31 fof(f525,plain,(
% 0.14/0.31 spl0_10 <=> segmentP(sk0_48,sk0_48)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f528,plain,(
% 0.14/0.31 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_6),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f480,f514])).
% 0.14/0.31 fof(f529,plain,(
% 0.14/0.31 ~spl0_9|spl0_10|~spl0_5|~spl0_6),
% 0.14/0.31 inference(split_clause,[status(thm)],[f528,f522,f525,f488,f493])).
% 0.14/0.31 fof(f530,plain,(
% 0.14/0.31 spl0_11 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f533,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f480,f450])).
% 0.14/0.31 fof(f534,plain,(
% 0.14/0.31 spl0_11|~spl0_5|~spl0_7),
% 0.14/0.31 inference(split_clause,[status(thm)],[f533,f530,f488,f496])).
% 0.14/0.31 fof(f535,plain,(
% 0.14/0.31 ~ssList(sk0_48)|spl0_9),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f480,f524])).
% 0.14/0.31 fof(f536,plain,(
% 0.14/0.31 $false|spl0_9),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f535,f420])).
% 0.14/0.31 fof(f537,plain,(
% 0.14/0.31 spl0_9),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f536])).
% 0.14/0.31 fof(f540,plain,(
% 0.14/0.31 spl0_12 <=> ssList(app(sk0_47,nil))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f542,plain,(
% 0.14/0.31 ~ssList(app(sk0_47,nil))|spl0_12),
% 0.14/0.31 inference(component_clause,[status(thm)],[f540])).
% 0.14/0.31 fof(f543,plain,(
% 0.14/0.31 spl0_13 <=> segmentP(sk0_47,sk0_47)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f546,plain,(
% 0.14/0.31 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_3),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f481,f513])).
% 0.14/0.31 fof(f547,plain,(
% 0.14/0.31 ~spl0_12|spl0_13|~spl0_5|~spl0_3),
% 0.14/0.31 inference(split_clause,[status(thm)],[f546,f540,f543,f488,f482])).
% 0.14/0.31 fof(f548,plain,(
% 0.14/0.31 spl0_14 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f551,plain,(
% 0.14/0.31 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f481,f450])).
% 0.14/0.31 fof(f552,plain,(
% 0.14/0.31 spl0_14|~spl0_5|~spl0_4),
% 0.14/0.31 inference(split_clause,[status(thm)],[f551,f548,f488,f485])).
% 0.14/0.31 fof(f553,plain,(
% 0.14/0.31 ~ssList(sk0_47)|spl0_12),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f481,f542])).
% 0.14/0.31 fof(f554,plain,(
% 0.14/0.31 $false|spl0_12),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f553,f419])).
% 0.14/0.31 fof(f555,plain,(
% 0.14/0.31 spl0_12),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f554])).
% 0.14/0.31 fof(f558,plain,(
% 0.14/0.31 ~segmentP(sk0_48,sk0_47)|~spl0_0),
% 0.14/0.31 inference(resolution,[status(thm)],[f432,f521])).
% 0.14/0.31 fof(f562,plain,(
% 0.14/0.31 $false|spl0_2|~spl0_1),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f437,f519])).
% 0.14/0.31 fof(f563,plain,(
% 0.14/0.31 spl0_2|~spl0_1),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f562])).
% 0.14/0.31 fof(f567,plain,(
% 0.14/0.31 ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_0),
% 0.14/0.31 inference(resolution,[status(thm)],[f430,f521])).
% 0.14/0.31 fof(f585,plain,(
% 0.14/0.31 app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))=sk0_48|~spl0_0),
% 0.14/0.31 inference(resolution,[status(thm)],[f431,f521])).
% 0.14/0.31 fof(f586,plain,(
% 0.14/0.31 spl0_18 <=> ssList(app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f588,plain,(
% 0.14/0.31 ~ssList(app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)))|spl0_18),
% 0.14/0.31 inference(component_clause,[status(thm)],[f586])).
% 0.14/0.31 fof(f589,plain,(
% 0.14/0.31 spl0_19 <=> segmentP(sk0_48,sk0_47)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f590,plain,(
% 0.14/0.31 segmentP(sk0_48,sk0_47)|~spl0_19),
% 0.14/0.31 inference(component_clause,[status(thm)],[f589])).
% 0.14/0.31 fof(f592,plain,(
% 0.14/0.31 spl0_20 <=> ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f594,plain,(
% 0.14/0.31 ~ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|spl0_20),
% 0.14/0.31 inference(component_clause,[status(thm)],[f592])).
% 0.14/0.31 fof(f595,plain,(
% 0.14/0.31 ~ssList(app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)))|segmentP(sk0_48,sk0_47)|~ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_3|~spl0_0),
% 0.14/0.31 inference(paramodulation,[status(thm)],[f585,f513])).
% 0.14/0.31 fof(f596,plain,(
% 0.14/0.31 ~spl0_18|spl0_19|~spl0_20|~spl0_3|~spl0_0),
% 0.14/0.31 inference(split_clause,[status(thm)],[f595,f586,f589,f592,f482,f433])).
% 0.14/0.31 fof(f612,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|neq(X0,sk0_48)|X0=sk0_48)),
% 0.14/0.31 inference(resolution,[status(thm)],[f220,f420])).
% 0.14/0.31 fof(f613,plain,(
% 0.14/0.31 ![X0]: (~ssList(X0)|neq(X0,sk0_47)|X0=sk0_47)),
% 0.14/0.31 inference(resolution,[status(thm)],[f220,f419])).
% 0.14/0.31 fof(f614,plain,(
% 0.14/0.31 spl0_22 <=> sk0_48=sk0_48),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f617,plain,(
% 0.14/0.31 ~ssList(sk0_48)|sk0_48=sk0_48|~ssList(sk0_48)),
% 0.14/0.31 inference(resolution,[status(thm)],[f612,f460])).
% 0.14/0.31 fof(f618,plain,(
% 0.14/0.31 ~spl0_7|spl0_22),
% 0.14/0.31 inference(split_clause,[status(thm)],[f617,f496,f614])).
% 0.14/0.31 fof(f619,plain,(
% 0.14/0.31 spl0_23 <=> sk0_47=sk0_47),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f622,plain,(
% 0.14/0.31 ~ssList(sk0_47)|sk0_47=sk0_47|~ssList(sk0_47)),
% 0.14/0.31 inference(resolution,[status(thm)],[f613,f460])).
% 0.14/0.31 fof(f623,plain,(
% 0.14/0.31 ~spl0_4|spl0_23),
% 0.14/0.31 inference(split_clause,[status(thm)],[f622,f485,f619])).
% 0.14/0.31 fof(f627,plain,(
% 0.14/0.31 spl0_24 <=> nil=nil),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f630,plain,(
% 0.14/0.31 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.31 inference(resolution,[status(thm)],[f326,f323])).
% 0.14/0.31 fof(f631,plain,(
% 0.14/0.31 ~spl0_5|spl0_24),
% 0.14/0.31 inference(split_clause,[status(thm)],[f630,f488,f627])).
% 0.14/0.31 fof(f634,plain,(
% 0.14/0.31 spl0_25 <=> ssItem(sk0_0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f636,plain,(
% 0.14/0.31 ~ssItem(sk0_0)|spl0_25),
% 0.14/0.31 inference(component_clause,[status(thm)],[f634])).
% 0.14/0.31 fof(f637,plain,(
% 0.14/0.31 spl0_26 <=> sk0_0=sk0_0),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f640,plain,(
% 0.14/0.31 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 0.14/0.31 inference(resolution,[status(thm)],[f515,f516])).
% 0.14/0.31 fof(f641,plain,(
% 0.14/0.31 ~spl0_25|spl0_26),
% 0.14/0.31 inference(split_clause,[status(thm)],[f640,f634,f637])).
% 0.14/0.31 fof(f647,plain,(
% 0.14/0.31 $false|spl0_25),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f636,f103])).
% 0.14/0.31 fof(f648,plain,(
% 0.14/0.31 spl0_25),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f647])).
% 0.14/0.31 fof(f649,plain,(
% 0.14/0.31 ![X0]: (~ssItem(X0)|ssList(cons(X0,nil)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f222,f223])).
% 0.14/0.31 fof(f652,plain,(
% 0.14/0.31 ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_0),
% 0.14/0.31 inference(resolution,[status(thm)],[f649,f567])).
% 0.14/0.31 fof(f653,plain,(
% 0.14/0.31 $false|spl0_20|~spl0_0),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f652,f594])).
% 0.14/0.31 fof(f654,plain,(
% 0.14/0.31 spl0_20|~spl0_0),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f653])).
% 0.14/0.31 fof(f657,plain,(
% 0.14/0.31 ~ssList(sk0_48)|~spl0_0|spl0_18),
% 0.14/0.31 inference(forward_demodulation,[status(thm)],[f585,f588])).
% 0.14/0.34 fof(f658,plain,(
% 0.14/0.34 $false|~spl0_0|spl0_18),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f657,f420])).
% 0.14/0.34 fof(f659,plain,(
% 0.14/0.34 ~spl0_0|spl0_18),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f658])).
% 0.14/0.34 fof(f661,plain,(
% 0.14/0.34 $false|~spl0_0|~spl0_19),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f590,f558])).
% 0.14/0.34 fof(f662,plain,(
% 0.14/0.34 ~spl0_0|~spl0_19),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f661])).
% 0.14/0.34 fof(f663,plain,(
% 0.14/0.34 $false),
% 0.14/0.34 inference(sat_refutation,[status(thm)],[f439,f443,f492,f500,f505,f507,f509,f511,f529,f534,f537,f547,f552,f555,f563,f596,f618,f623,f631,f641,f648,f654,f659,f662])).
% 0.14/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.55 % Elapsed time: 0.044787 seconds
% 0.14/0.55 % CPU time: 0.021638 seconds
% 0.14/0.55 % Memory used: 4.170 MB
%------------------------------------------------------------------------------