TSTP Solution File: SWC061+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC061+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 : Tue Apr 30 20:44:22 EDT 2024
% Result : Theorem 0.11s 0.49s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWC061+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n006.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Apr 30 00:05:50 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.6.0
% 0.11/0.49 % Refutation found
% 0.11/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.49 fof(f1,axiom,(
% 0.11/0.49 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f3,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f7,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f15,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f16,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f17,axiom,(
% 0.11/0.49 ssList(nil) ),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f28,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f57,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f58,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f84,axiom,(
% 0.11/0.49 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f96,conjecture,(
% 0.11/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssList(Z)| app(cons(Y,nil),Z) != X| app(Z,cons(Y,nil)) != W ) )))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [X1] :( ssList(X1)& neq(X1,nil)& segmentP(V,X1)& segmentP(U,X1) ) )) ) ) )) )) )) )),
% 0.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.49 fof(f97,negated_conjecture,(
% 0.11/0.49 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ~ ssList(Z)| app(cons(Y,nil),Z) != X| app(Z,cons(Y,nil)) != W ) )))& neq(X,nil) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [X1] :( ssList(X1)& neq(X1,nil)& segmentP(V,X1)& segmentP(U,X1) ) )) ) ) )) )) )) ))),
% 0.11/0.49 inference(negated_conjecture,[status(cth)],[f96])).
% 0.11/0.49 fof(f98,plain,(
% 0.11/0.49 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.11/0.49 fof(f99,plain,(
% 0.11/0.49 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.11/0.49 inference(NNF_transformation,[status(esa)],[f98])).
% 0.11/0.49 fof(f100,plain,(
% 0.11/0.49 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f99])).
% 0.11/0.49 fof(f101,plain,(
% 0.11/0.49 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f99])).
% 0.11/0.49 fof(f106,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.11/0.49 fof(f107,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.11/0.49 inference(NNF_transformation,[status(esa)],[f106])).
% 0.11/0.49 fof(f108,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.11/0.49 inference(skolemization,[status(esa)],[f107])).
% 0.11/0.49 fof(f109,plain,(
% 0.11/0.49 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|ssList(sk0_2(X1,X0)))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f108])).
% 0.11/0.49 fof(f110,plain,(
% 0.11/0.49 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|ssList(sk0_3(X1,X0)))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f108])).
% 0.11/0.49 fof(f111,plain,(
% 0.11/0.49 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f108])).
% 0.11/0.49 fof(f112,plain,(
% 0.11/0.49 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f108])).
% 0.11/0.49 fof(f131,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.11/0.49 fof(f132,plain,(
% 0.11/0.49 ![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)))))))))),
% 0.11/0.49 inference(NNF_transformation,[status(esa)],[f131])).
% 0.11/0.49 fof(f133,plain,(
% 0.11/0.49 ![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)))))))))),
% 0.11/0.49 inference(skolemization,[status(esa)],[f132])).
% 0.11/0.49 fof(f137,plain,(
% 0.11/0.49 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f133])).
% 0.11/0.49 fof(f217,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.11/0.49 fof(f218,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.11/0.49 inference(NNF_transformation,[status(esa)],[f217])).
% 0.11/0.49 fof(f219,plain,(
% 0.11/0.49 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f218])).
% 0.11/0.49 fof(f220,plain,(
% 0.11/0.49 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f218])).
% 0.11/0.49 fof(f221,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.11/0.49 fof(f222,plain,(
% 0.11/0.49 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.11/0.49 fof(f223,plain,(
% 0.11/0.49 ssList(nil)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f17])).
% 0.11/0.49 fof(f248,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.11/0.49 fof(f249,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f248])).
% 0.11/0.49 fof(f322,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.11/0.49 fof(f323,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f322])).
% 0.11/0.49 fof(f324,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.11/0.49 fof(f325,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.11/0.49 inference(NNF_transformation,[status(esa)],[f324])).
% 0.11/0.49 fof(f326,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f325])).
% 0.11/0.49 fof(f388,plain,(
% 0.11/0.49 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.11/0.49 fof(f389,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f388])).
% 0.11/0.49 fof(f415,plain,(
% 0.11/0.49 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil)))&((nil=V&~nil=U)|(neq(V,nil)&(![X1]: (((~ssList(X1)|~neq(X1,nil))|~segmentP(V,X1))|~segmentP(U,X1)))))))))))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.11/0.49 fof(f416,plain,(
% 0.11/0.49 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.11/0.49 introduced(predicate_definition,[f415])).
% 0.11/0.49 fof(f417,plain,(
% 0.11/0.49 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil)))&(pd0_0(V,U)|(neq(V,nil)&(![X1]: (((~ssList(X1)|~neq(X1,nil))|~segmentP(V,X1))|~segmentP(U,X1))))))))))))),
% 0.11/0.49 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.11/0.49 fof(f418,plain,(
% 0.11/0.49 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: ((((ssList(X)&V=X)&U=W)&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(?[Z]: ((ssList(Z)&app(cons(Y,nil),Z)=X)&app(Z,cons(Y,nil))=W))))|~neq(X,nil))))&(pd0_0(V,U)|(neq(V,nil)&(![X1]: (((~ssList(X1)|~neq(X1,nil))|~segmentP(V,X1))|~segmentP(U,X1)))))))))))),
% 0.11/0.49 inference(miniscoping,[status(esa)],[f417])).
% 0.11/0.49 fof(f419,plain,(
% 0.11/0.49 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(nil=sk0_49|~nil=sk0_50))&((ssItem(sk0_51)&((ssList(sk0_52)&app(cons(sk0_51,nil),sk0_52)=sk0_50)&app(sk0_52,cons(sk0_51,nil))=sk0_49))|~neq(sk0_50,nil)))&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![X1]: (((~ssList(X1)|~neq(X1,nil))|~segmentP(sk0_48,X1))|~segmentP(sk0_47,X1)))))))))),
% 0.11/0.49 inference(skolemization,[status(esa)],[f418])).
% 0.11/0.49 fof(f420,plain,(
% 0.11/0.49 ssList(sk0_47)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f421,plain,(
% 0.11/0.49 ssList(sk0_48)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f424,plain,(
% 0.11/0.49 sk0_48=sk0_50),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f425,plain,(
% 0.11/0.49 sk0_47=sk0_49),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f426,plain,(
% 0.11/0.49 nil=sk0_49|~nil=sk0_50),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f427,plain,(
% 0.11/0.49 ssItem(sk0_51)|~neq(sk0_50,nil)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f428,plain,(
% 0.11/0.49 ssList(sk0_52)|~neq(sk0_50,nil)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f429,plain,(
% 0.11/0.49 app(cons(sk0_51,nil),sk0_52)=sk0_50|~neq(sk0_50,nil)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f430,plain,(
% 0.11/0.49 app(sk0_52,cons(sk0_51,nil))=sk0_49|~neq(sk0_50,nil)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f431,plain,(
% 0.11/0.49 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f432,plain,(
% 0.11/0.49 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f419])).
% 0.11/0.49 fof(f433,plain,(
% 0.11/0.49 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.11/0.49 fof(f434,plain,(
% 0.11/0.49 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f433])).
% 0.11/0.49 fof(f435,plain,(
% 0.11/0.49 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f433])).
% 0.11/0.49 fof(f436,plain,(
% 0.11/0.49 spl0_0 <=> nil=sk0_49),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f437,plain,(
% 0.11/0.49 nil=sk0_49|~spl0_0),
% 0.11/0.49 inference(component_clause,[status(thm)],[f436])).
% 0.11/0.49 fof(f439,plain,(
% 0.11/0.49 spl0_1 <=> nil=sk0_50),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f440,plain,(
% 0.11/0.49 nil=sk0_50|~spl0_1),
% 0.11/0.49 inference(component_clause,[status(thm)],[f439])).
% 0.11/0.49 fof(f441,plain,(
% 0.11/0.49 ~nil=sk0_50|spl0_1),
% 0.11/0.49 inference(component_clause,[status(thm)],[f439])).
% 0.11/0.49 fof(f442,plain,(
% 0.11/0.49 spl0_0|~spl0_1),
% 0.11/0.49 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.11/0.49 fof(f443,plain,(
% 0.11/0.49 spl0_2 <=> ssItem(sk0_51)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f444,plain,(
% 0.11/0.49 ssItem(sk0_51)|~spl0_2),
% 0.11/0.49 inference(component_clause,[status(thm)],[f443])).
% 0.11/0.49 fof(f446,plain,(
% 0.11/0.49 spl0_3 <=> neq(sk0_50,nil)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f447,plain,(
% 0.11/0.49 neq(sk0_50,nil)|~spl0_3),
% 0.11/0.49 inference(component_clause,[status(thm)],[f446])).
% 0.11/0.49 fof(f448,plain,(
% 0.11/0.49 ~neq(sk0_50,nil)|spl0_3),
% 0.11/0.49 inference(component_clause,[status(thm)],[f446])).
% 0.11/0.49 fof(f449,plain,(
% 0.11/0.49 spl0_2|~spl0_3),
% 0.11/0.49 inference(split_clause,[status(thm)],[f427,f443,f446])).
% 0.11/0.49 fof(f450,plain,(
% 0.11/0.49 spl0_4 <=> ssList(sk0_52)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f451,plain,(
% 0.11/0.49 ssList(sk0_52)|~spl0_4),
% 0.11/0.49 inference(component_clause,[status(thm)],[f450])).
% 0.11/0.49 fof(f453,plain,(
% 0.11/0.49 spl0_4|~spl0_3),
% 0.11/0.49 inference(split_clause,[status(thm)],[f428,f450,f446])).
% 0.11/0.49 fof(f454,plain,(
% 0.11/0.49 spl0_5 <=> app(cons(sk0_51,nil),sk0_52)=sk0_50),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f455,plain,(
% 0.11/0.49 app(cons(sk0_51,nil),sk0_52)=sk0_50|~spl0_5),
% 0.11/0.49 inference(component_clause,[status(thm)],[f454])).
% 0.11/0.49 fof(f457,plain,(
% 0.11/0.49 spl0_5|~spl0_3),
% 0.11/0.49 inference(split_clause,[status(thm)],[f429,f454,f446])).
% 0.11/0.49 fof(f458,plain,(
% 0.11/0.49 spl0_6 <=> app(sk0_52,cons(sk0_51,nil))=sk0_49),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f459,plain,(
% 0.11/0.49 app(sk0_52,cons(sk0_51,nil))=sk0_49|~spl0_6),
% 0.11/0.49 inference(component_clause,[status(thm)],[f458])).
% 0.11/0.49 fof(f461,plain,(
% 0.11/0.49 spl0_6|~spl0_3),
% 0.11/0.49 inference(split_clause,[status(thm)],[f430,f458,f446])).
% 0.11/0.49 fof(f462,plain,(
% 0.11/0.49 spl0_7 <=> pd0_0(sk0_48,sk0_47)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f463,plain,(
% 0.11/0.49 pd0_0(sk0_48,sk0_47)|~spl0_7),
% 0.11/0.49 inference(component_clause,[status(thm)],[f462])).
% 0.11/0.49 fof(f465,plain,(
% 0.11/0.49 spl0_8 <=> neq(sk0_48,nil)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f466,plain,(
% 0.11/0.49 neq(sk0_48,nil)|~spl0_8),
% 0.11/0.49 inference(component_clause,[status(thm)],[f465])).
% 0.11/0.49 fof(f468,plain,(
% 0.11/0.49 spl0_7|spl0_8),
% 0.11/0.49 inference(split_clause,[status(thm)],[f431,f462,f465])).
% 0.11/0.49 fof(f469,plain,(
% 0.11/0.49 spl0_9 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f470,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_9)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f469])).
% 0.11/0.49 fof(f472,plain,(
% 0.11/0.49 spl0_7|spl0_9),
% 0.11/0.49 inference(split_clause,[status(thm)],[f432,f462,f469])).
% 0.11/0.49 fof(f473,plain,(
% 0.11/0.49 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.11/0.49 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.11/0.49 fof(f474,plain,(
% 0.11/0.49 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.11/0.49 inference(duplicate_literals_removal,[status(esa)],[f473])).
% 0.11/0.49 fof(f475,plain,(
% 0.11/0.49 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 0.11/0.49 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 0.11/0.49 fof(f479,plain,(
% 0.11/0.49 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.11/0.49 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.11/0.49 fof(f488,plain,(
% 0.11/0.49 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.11/0.49 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.11/0.49 fof(f489,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.11/0.49 inference(duplicate_literals_removal,[status(esa)],[f488])).
% 0.11/0.49 fof(f503,plain,(
% 0.11/0.49 ![X0]: (~pd0_0(X0,nil))),
% 0.11/0.49 inference(destructive_equality_resolution,[status(esa)],[f435])).
% 0.11/0.49 fof(f504,plain,(
% 0.11/0.49 ~nil=sk0_48|spl0_1),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 0.11/0.49 fof(f505,plain,(
% 0.11/0.49 ~neq(sk0_48,nil)|spl0_3),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.11/0.49 fof(f510,plain,(
% 0.11/0.49 ~neq(sk0_48,sk0_48)),
% 0.11/0.49 inference(resolution,[status(thm)],[f489,f421])).
% 0.11/0.49 fof(f511,plain,(
% 0.11/0.49 ~neq(sk0_47,sk0_47)),
% 0.11/0.49 inference(resolution,[status(thm)],[f489,f420])).
% 0.11/0.49 fof(f514,plain,(
% 0.11/0.49 app(nil,sk0_48)=sk0_48),
% 0.11/0.49 inference(resolution,[status(thm)],[f249,f421])).
% 0.11/0.49 fof(f515,plain,(
% 0.11/0.49 app(nil,sk0_47)=sk0_47),
% 0.11/0.49 inference(resolution,[status(thm)],[f249,f420])).
% 0.11/0.49 fof(f516,plain,(
% 0.11/0.49 app(sk0_48,nil)=sk0_48),
% 0.11/0.49 inference(resolution,[status(thm)],[f389,f421])).
% 0.11/0.49 fof(f517,plain,(
% 0.11/0.49 app(sk0_47,nil)=sk0_47),
% 0.11/0.49 inference(resolution,[status(thm)],[f389,f420])).
% 0.11/0.49 fof(f518,plain,(
% 0.11/0.49 spl0_10 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f521,plain,(
% 0.11/0.49 spl0_11 <=> ssList(nil)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f523,plain,(
% 0.11/0.49 ~ssList(nil)|spl0_11),
% 0.11/0.49 inference(component_clause,[status(thm)],[f521])).
% 0.11/0.49 fof(f524,plain,(
% 0.11/0.49 spl0_12 <=> ssList(sk0_47)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f526,plain,(
% 0.11/0.49 ~ssList(sk0_47)|spl0_12),
% 0.11/0.49 inference(component_clause,[status(thm)],[f524])).
% 0.11/0.49 fof(f527,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f517,f479])).
% 0.11/0.49 fof(f528,plain,(
% 0.11/0.49 spl0_10|~spl0_11|~spl0_12),
% 0.11/0.49 inference(split_clause,[status(thm)],[f527,f518,f521,f524])).
% 0.11/0.49 fof(f529,plain,(
% 0.11/0.49 spl0_13 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f532,plain,(
% 0.11/0.49 spl0_14 <=> ssList(sk0_48)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f534,plain,(
% 0.11/0.49 ~ssList(sk0_48)|spl0_14),
% 0.11/0.49 inference(component_clause,[status(thm)],[f532])).
% 0.11/0.49 fof(f535,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f516,f479])).
% 0.11/0.49 fof(f536,plain,(
% 0.11/0.49 spl0_13|~spl0_11|~spl0_14),
% 0.11/0.49 inference(split_clause,[status(thm)],[f535,f529,f521,f532])).
% 0.11/0.49 fof(f537,plain,(
% 0.11/0.49 spl0_15 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f538,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_15)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f537])).
% 0.11/0.49 fof(f540,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f515,f479])).
% 0.11/0.49 fof(f541,plain,(
% 0.11/0.49 spl0_15|~spl0_12|~spl0_11),
% 0.11/0.49 inference(split_clause,[status(thm)],[f540,f537,f524,f521])).
% 0.11/0.49 fof(f542,plain,(
% 0.11/0.49 spl0_16 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f543,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_16)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f542])).
% 0.11/0.49 fof(f545,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f514,f479])).
% 0.11/0.49 fof(f546,plain,(
% 0.11/0.49 spl0_16|~spl0_14|~spl0_11),
% 0.11/0.49 inference(split_clause,[status(thm)],[f545,f542,f532,f521])).
% 0.11/0.49 fof(f547,plain,(
% 0.11/0.49 $false|spl0_14),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f534,f421])).
% 0.11/0.49 fof(f548,plain,(
% 0.11/0.49 spl0_14),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f547])).
% 0.11/0.49 fof(f549,plain,(
% 0.11/0.49 $false|spl0_11),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f523,f223])).
% 0.11/0.49 fof(f550,plain,(
% 0.11/0.49 spl0_11),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f549])).
% 0.11/0.49 fof(f551,plain,(
% 0.11/0.49 $false|spl0_12),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f526,f420])).
% 0.11/0.49 fof(f552,plain,(
% 0.11/0.49 spl0_12),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f551])).
% 0.11/0.49 fof(f554,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_16)),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f514,f543])).
% 0.11/0.49 fof(f556,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_15)),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f515,f538])).
% 0.11/0.49 fof(f575,plain,(
% 0.11/0.49 nil=sk0_48|~spl0_7),
% 0.11/0.49 inference(resolution,[status(thm)],[f463,f434])).
% 0.11/0.49 fof(f576,plain,(
% 0.11/0.49 $false|spl0_1|~spl0_7),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f575,f504])).
% 0.11/0.49 fof(f577,plain,(
% 0.11/0.49 spl0_1|~spl0_7),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f576])).
% 0.11/0.49 fof(f578,plain,(
% 0.11/0.49 $false|spl0_3|~spl0_8),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f466,f505])).
% 0.11/0.49 fof(f579,plain,(
% 0.11/0.49 spl0_3|~spl0_8),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f578])).
% 0.11/0.49 fof(f580,plain,(
% 0.11/0.49 nil=sk0_47|~spl0_0),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f425,f437])).
% 0.11/0.49 fof(f581,plain,(
% 0.11/0.49 app(cons(sk0_51,nil),sk0_52)=sk0_48|~spl0_5),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f424,f455])).
% 0.11/0.49 fof(f582,plain,(
% 0.11/0.49 app(sk0_52,cons(sk0_51,nil))=sk0_47|~spl0_6),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f425,f459])).
% 0.11/0.49 fof(f584,plain,(
% 0.11/0.49 neq(sk0_48,nil)|~spl0_3),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f424,f447])).
% 0.11/0.49 fof(f585,plain,(
% 0.11/0.49 pd0_0(sk0_48,nil)|~spl0_0|~spl0_7),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f580,f463])).
% 0.11/0.49 fof(f586,plain,(
% 0.11/0.49 $false|~spl0_0|~spl0_7),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f585,f503])).
% 0.11/0.49 fof(f587,plain,(
% 0.11/0.49 ~spl0_0|~spl0_7),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f586])).
% 0.11/0.49 fof(f590,plain,(
% 0.11/0.49 ![X0]: (~ssItem(X0)|neq(X0,sk0_51)|X0=sk0_51|~spl0_2)),
% 0.11/0.49 inference(resolution,[status(thm)],[f444,f101])).
% 0.11/0.49 fof(f591,plain,(
% 0.11/0.49 ~neq(sk0_51,sk0_51)|~spl0_2),
% 0.11/0.49 inference(resolution,[status(thm)],[f444,f474])).
% 0.11/0.49 fof(f593,plain,(
% 0.11/0.49 app(sk0_52,nil)=sk0_52|~spl0_4),
% 0.11/0.49 inference(resolution,[status(thm)],[f451,f389])).
% 0.11/0.49 fof(f594,plain,(
% 0.11/0.49 app(nil,sk0_52)=sk0_52|~spl0_4),
% 0.11/0.49 inference(resolution,[status(thm)],[f451,f249])).
% 0.11/0.49 fof(f596,plain,(
% 0.11/0.49 ~neq(sk0_52,sk0_52)|~spl0_4),
% 0.11/0.49 inference(resolution,[status(thm)],[f451,f489])).
% 0.11/0.49 fof(f597,plain,(
% 0.11/0.49 spl0_17 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(cons(sk0_51,nil),sk0_52),X0),sk0_52)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f598,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(cons(sk0_51,nil),sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_17)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f597])).
% 0.11/0.49 fof(f600,plain,(
% 0.11/0.49 spl0_18 <=> ssList(cons(sk0_51,nil))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f601,plain,(
% 0.11/0.49 ssList(cons(sk0_51,nil))|~spl0_18),
% 0.11/0.49 inference(component_clause,[status(thm)],[f600])).
% 0.11/0.49 fof(f602,plain,(
% 0.11/0.49 ~ssList(cons(sk0_51,nil))|spl0_18),
% 0.11/0.49 inference(component_clause,[status(thm)],[f600])).
% 0.11/0.49 fof(f603,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_52)|segmentP(app(app(cons(sk0_51,nil),sk0_52),X0),sk0_52)|~ssList(cons(sk0_51,nil))|~ssList(X0)|~spl0_5)),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f581,f479])).
% 0.11/0.49 fof(f604,plain,(
% 0.11/0.49 spl0_17|~spl0_4|~spl0_18|~spl0_5),
% 0.11/0.49 inference(split_clause,[status(thm)],[f603,f597,f450,f600,f454])).
% 0.11/0.49 fof(f605,plain,(
% 0.11/0.49 app(sk0_47,nil)=nil|~spl0_0),
% 0.11/0.49 inference(backward_demodulation,[status(thm)],[f580,f517])).
% 0.11/0.49 fof(f606,plain,(
% 0.11/0.49 sk0_47=nil|~spl0_0),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f517,f605])).
% 0.11/0.49 fof(f619,plain,(
% 0.11/0.49 ~neq(sk0_47,nil)|~spl0_0),
% 0.11/0.49 inference(backward_demodulation,[status(thm)],[f580,f511])).
% 0.11/0.49 fof(f620,plain,(
% 0.11/0.49 ~neq(nil,nil)|~spl0_0),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f606,f619])).
% 0.11/0.49 fof(f642,plain,(
% 0.11/0.49 spl0_19 <=> ~ssList(app(sk0_52,X0))|segmentP(app(app(sk0_52,nil),X0),nil)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f645,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_52,X0))|~ssList(nil)|segmentP(app(app(sk0_52,nil),X0),nil)|~ssList(sk0_52)|~ssList(X0)|~spl0_4)),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f593,f479])).
% 0.11/0.49 fof(f646,plain,(
% 0.11/0.49 spl0_19|~spl0_11|~spl0_4),
% 0.11/0.49 inference(split_clause,[status(thm)],[f645,f642,f521,f450])).
% 0.11/0.49 fof(f648,plain,(
% 0.11/0.49 spl0_20 <=> ~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f649,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_20)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f648])).
% 0.11/0.49 fof(f651,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_52,X0))|~ssList(sk0_52)|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(nil)|~ssList(X0)|~spl0_4)),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f594,f479])).
% 0.11/0.49 fof(f652,plain,(
% 0.11/0.49 spl0_20|~spl0_4|~spl0_11),
% 0.11/0.49 inference(split_clause,[status(thm)],[f651,f648,f450,f521])).
% 0.11/0.49 fof(f653,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(sk0_52,X0),sk0_52)|~ssList(X0)|~spl0_4|~spl0_20)),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f594,f649])).
% 0.11/0.49 fof(f654,plain,(
% 0.11/0.49 spl0_21 <=> neq(nil,nil)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f671,plain,(
% 0.11/0.49 spl0_24 <=> sk0_51=sk0_51),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f674,plain,(
% 0.11/0.49 ~ssItem(sk0_51)|sk0_51=sk0_51|~spl0_2),
% 0.11/0.49 inference(resolution,[status(thm)],[f591,f590])).
% 0.11/0.49 fof(f675,plain,(
% 0.11/0.49 ~spl0_2|spl0_24),
% 0.11/0.49 inference(split_clause,[status(thm)],[f674,f443,f671])).
% 0.11/0.49 fof(f676,plain,(
% 0.11/0.49 spl0_25 <=> ssList(app(sk0_48,nil))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f678,plain,(
% 0.11/0.49 ~ssList(app(sk0_48,nil))|spl0_25),
% 0.11/0.49 inference(component_clause,[status(thm)],[f676])).
% 0.11/0.49 fof(f679,plain,(
% 0.11/0.49 spl0_26 <=> segmentP(sk0_48,sk0_48)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f682,plain,(
% 0.11/0.49 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_16),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f516,f554])).
% 0.11/0.49 fof(f683,plain,(
% 0.11/0.49 ~spl0_25|spl0_26|~spl0_11|~spl0_16),
% 0.11/0.49 inference(split_clause,[status(thm)],[f682,f676,f679,f521,f542])).
% 0.11/0.49 fof(f684,plain,(
% 0.11/0.49 ~ssList(sk0_48)|spl0_25),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f516,f678])).
% 0.11/0.49 fof(f685,plain,(
% 0.11/0.49 $false|spl0_25),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f684,f421])).
% 0.11/0.49 fof(f686,plain,(
% 0.11/0.49 spl0_25),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f685])).
% 0.11/0.49 fof(f688,plain,(
% 0.11/0.49 spl0_27 <=> ssList(app(sk0_52,nil))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f690,plain,(
% 0.11/0.49 ~ssList(app(sk0_52,nil))|spl0_27),
% 0.11/0.49 inference(component_clause,[status(thm)],[f688])).
% 0.11/0.49 fof(f691,plain,(
% 0.11/0.49 spl0_28 <=> segmentP(sk0_52,sk0_52)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f694,plain,(
% 0.11/0.49 ~ssList(app(sk0_52,nil))|segmentP(sk0_52,sk0_52)|~ssList(nil)|~spl0_20|~spl0_4),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f593,f653])).
% 0.11/0.49 fof(f695,plain,(
% 0.11/0.49 ~spl0_27|spl0_28|~spl0_11|~spl0_20|~spl0_4),
% 0.11/0.49 inference(split_clause,[status(thm)],[f694,f688,f691,f521,f648,f450])).
% 0.11/0.49 fof(f696,plain,(
% 0.11/0.49 ~ssList(sk0_52)|~spl0_4|spl0_27),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f593,f690])).
% 0.11/0.49 fof(f697,plain,(
% 0.11/0.49 $false|~spl0_4|spl0_27),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f696,f451])).
% 0.11/0.49 fof(f698,plain,(
% 0.11/0.49 ~spl0_4|spl0_27),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f697])).
% 0.11/0.49 fof(f705,plain,(
% 0.11/0.49 nil=sk0_48|~spl0_1),
% 0.11/0.49 inference(forward_demodulation,[status(thm)],[f424,f440])).
% 0.11/0.49 fof(f711,plain,(
% 0.11/0.49 neq(nil,nil)|~spl0_1|~spl0_3),
% 0.11/0.49 inference(backward_demodulation,[status(thm)],[f705,f584])).
% 0.11/0.49 fof(f712,plain,(
% 0.11/0.49 $false|~spl0_0|~spl0_1|~spl0_3),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f711,f620])).
% 0.11/0.49 fof(f713,plain,(
% 0.11/0.49 ~spl0_0|~spl0_1|~spl0_3),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f712])).
% 0.11/0.49 fof(f714,plain,(
% 0.11/0.49 spl0_30 <=> ssList(app(sk0_52,cons(sk0_51,nil)))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f716,plain,(
% 0.11/0.49 ~ssList(app(sk0_52,cons(sk0_51,nil)))|spl0_30),
% 0.11/0.49 inference(component_clause,[status(thm)],[f714])).
% 0.11/0.49 fof(f717,plain,(
% 0.11/0.49 spl0_31 <=> segmentP(sk0_47,sk0_52)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f718,plain,(
% 0.11/0.49 segmentP(sk0_47,sk0_52)|~spl0_31),
% 0.11/0.49 inference(component_clause,[status(thm)],[f717])).
% 0.11/0.49 fof(f720,plain,(
% 0.11/0.49 ~ssList(app(sk0_52,cons(sk0_51,nil)))|segmentP(sk0_47,sk0_52)|~ssList(cons(sk0_51,nil))|~spl0_4|~spl0_20|~spl0_6),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f582,f653])).
% 0.11/0.49 fof(f721,plain,(
% 0.11/0.49 ~spl0_30|spl0_31|~spl0_18|~spl0_4|~spl0_20|~spl0_6),
% 0.11/0.49 inference(split_clause,[status(thm)],[f720,f714,f717,f600,f450,f648,f458])).
% 0.11/0.49 fof(f722,plain,(
% 0.11/0.49 spl0_32 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f723,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(X0)|~spl0_32)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f722])).
% 0.11/0.49 fof(f725,plain,(
% 0.11/0.49 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(cons(sk0_51,nil))|segmentP(app(app(sk0_52,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(sk0_52)|~ssList(X0)|~spl0_6)),
% 0.11/0.49 inference(paramodulation,[status(thm)],[f582,f479])).
% 0.11/0.49 fof(f726,plain,(
% 0.11/0.49 spl0_32|~spl0_18|~spl0_4|~spl0_6),
% 0.11/0.49 inference(split_clause,[status(thm)],[f725,f722,f600,f450,f458])).
% 0.11/0.49 fof(f729,plain,(
% 0.11/0.49 spl0_33 <=> segmentP(sk0_47,nil)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f731,plain,(
% 0.11/0.49 ~segmentP(sk0_47,nil)|spl0_33),
% 0.11/0.49 inference(component_clause,[status(thm)],[f729])).
% 0.11/0.49 fof(f732,plain,(
% 0.11/0.49 ~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_47,nil)|~ssList(sk0_48)|~spl0_9),
% 0.11/0.49 inference(resolution,[status(thm)],[f470,f323])).
% 0.11/0.49 fof(f733,plain,(
% 0.11/0.49 ~spl0_11|~spl0_21|~spl0_33|~spl0_14|~spl0_9),
% 0.11/0.49 inference(split_clause,[status(thm)],[f732,f521,f654,f729,f532,f469])).
% 0.11/0.49 fof(f736,plain,(
% 0.11/0.49 ~ssList(sk0_47)|spl0_33),
% 0.11/0.49 inference(resolution,[status(thm)],[f731,f323])).
% 0.11/0.49 fof(f737,plain,(
% 0.11/0.49 ~spl0_12|spl0_33),
% 0.11/0.49 inference(split_clause,[status(thm)],[f736,f524,f729])).
% 0.11/0.49 fof(f770,plain,(
% 0.11/0.49 spl0_35 <=> nil=nil),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f773,plain,(
% 0.11/0.49 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.11/0.49 inference(resolution,[status(thm)],[f326,f323])).
% 0.11/0.49 fof(f774,plain,(
% 0.11/0.49 ~spl0_11|spl0_35),
% 0.11/0.49 inference(split_clause,[status(thm)],[f773,f521,f770])).
% 0.11/0.49 fof(f775,plain,(
% 0.11/0.49 ![X0]: (~ssList(X0)|neq(X0,sk0_47)|X0=sk0_47)),
% 0.11/0.49 inference(resolution,[status(thm)],[f220,f420])).
% 0.11/0.50 fof(f776,plain,(
% 0.11/0.50 ![X0]: (~ssList(X0)|neq(X0,sk0_48)|X0=sk0_48)),
% 0.11/0.50 inference(resolution,[status(thm)],[f220,f421])).
% 0.11/0.50 fof(f777,plain,(
% 0.11/0.50 ![X0]: (~ssList(X0)|neq(X0,sk0_52)|X0=sk0_52|~spl0_4)),
% 0.11/0.50 inference(resolution,[status(thm)],[f220,f451])).
% 0.11/0.50 fof(f780,plain,(
% 0.11/0.50 ~ssList(nil)|~ssItem(sk0_51)|spl0_18),
% 0.11/0.50 inference(resolution,[status(thm)],[f222,f602])).
% 0.11/0.50 fof(f781,plain,(
% 0.11/0.50 ~spl0_11|~spl0_2|spl0_18),
% 0.11/0.50 inference(split_clause,[status(thm)],[f780,f521,f443,f600])).
% 0.11/0.50 fof(f789,plain,(
% 0.11/0.50 ~ssList(sk0_47)|~spl0_6|spl0_30),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f582,f716])).
% 0.11/0.50 fof(f790,plain,(
% 0.11/0.50 $false|~spl0_6|spl0_30),
% 0.11/0.50 inference(forward_subsumption_resolution,[status(thm)],[f789,f420])).
% 0.11/0.50 fof(f791,plain,(
% 0.11/0.50 ~spl0_6|spl0_30),
% 0.11/0.50 inference(contradiction_clause,[status(thm)],[f790])).
% 0.11/0.50 fof(f792,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)|~spl0_5|~spl0_17)),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f581,f598])).
% 0.11/0.50 fof(f793,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),cons(sk0_51,nil))|~ssList(X0)|~spl0_6|~spl0_32)),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f582,f723])).
% 0.11/0.50 fof(f795,plain,(
% 0.11/0.50 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.11/0.50 inference(resolution,[status(thm)],[f223,f220])).
% 0.11/0.50 fof(f798,plain,(
% 0.11/0.50 app(nil,nil)=nil),
% 0.11/0.50 inference(resolution,[status(thm)],[f223,f389])).
% 0.11/0.50 fof(f816,plain,(
% 0.11/0.50 spl0_36 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f819,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f798,f479])).
% 0.11/0.50 fof(f820,plain,(
% 0.11/0.50 spl0_36|~spl0_11),
% 0.11/0.50 inference(split_clause,[status(thm)],[f819,f816,f521])).
% 0.11/0.50 fof(f826,plain,(
% 0.11/0.50 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|app(sk0_2(X0,sk0_47),cons(X0,sk0_3(X0,sk0_47)))=sk0_47)),
% 0.11/0.50 inference(resolution,[status(thm)],[f111,f420])).
% 0.11/0.50 fof(f831,plain,(
% 0.11/0.50 spl0_37 <=> memberP(app(sk0_52,cons(sk0_51,nil)),sk0_51)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f832,plain,(
% 0.11/0.50 memberP(app(sk0_52,cons(sk0_51,nil)),sk0_51)|~spl0_37),
% 0.11/0.50 inference(component_clause,[status(thm)],[f831])).
% 0.11/0.50 fof(f834,plain,(
% 0.11/0.50 ~ssList(sk0_47)|~ssItem(sk0_51)|memberP(app(sk0_52,cons(sk0_51,nil)),sk0_51)|~ssList(sk0_52)|~ssList(nil)|~spl0_6),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f582,f475])).
% 0.11/0.50 fof(f835,plain,(
% 0.11/0.50 ~spl0_12|~spl0_2|spl0_37|~spl0_4|~spl0_11|~spl0_6),
% 0.11/0.50 inference(split_clause,[status(thm)],[f834,f524,f443,f831,f450,f521,f458])).
% 0.11/0.50 fof(f836,plain,(
% 0.11/0.50 memberP(sk0_47,sk0_51)|~spl0_6|~spl0_37),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f582,f832])).
% 0.11/0.50 fof(f842,plain,(
% 0.11/0.50 spl0_38 <=> sk0_52=sk0_52),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f845,plain,(
% 0.11/0.50 ~ssList(sk0_52)|sk0_52=sk0_52|~spl0_4),
% 0.11/0.50 inference(resolution,[status(thm)],[f777,f596])).
% 0.11/0.50 fof(f846,plain,(
% 0.11/0.50 ~spl0_4|spl0_38),
% 0.11/0.50 inference(split_clause,[status(thm)],[f845,f450,f842])).
% 0.11/0.50 fof(f847,plain,(
% 0.11/0.50 spl0_39 <=> neq(sk0_52,nil)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f849,plain,(
% 0.11/0.50 ~neq(sk0_52,nil)|spl0_39),
% 0.11/0.50 inference(component_clause,[status(thm)],[f847])).
% 0.11/0.50 fof(f850,plain,(
% 0.11/0.50 spl0_40 <=> segmentP(sk0_48,sk0_52)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f853,plain,(
% 0.11/0.50 ~ssList(sk0_52)|~neq(sk0_52,nil)|~segmentP(sk0_48,sk0_52)|~spl0_31|~spl0_9),
% 0.11/0.50 inference(resolution,[status(thm)],[f718,f470])).
% 0.11/0.50 fof(f854,plain,(
% 0.11/0.50 ~spl0_4|~spl0_39|~spl0_40|~spl0_31|~spl0_9),
% 0.11/0.50 inference(split_clause,[status(thm)],[f853,f450,f847,f850,f717,f469])).
% 0.11/0.50 fof(f855,plain,(
% 0.11/0.50 ![X0]: (~ssItem(X0)|~memberP(cons(sk0_51,nil),X0)|app(sk0_2(X0,cons(sk0_51,nil)),cons(X0,sk0_3(X0,cons(sk0_51,nil))))=cons(sk0_51,nil)|~spl0_18)),
% 0.11/0.50 inference(resolution,[status(thm)],[f601,f111])).
% 0.11/0.50 fof(f857,plain,(
% 0.11/0.50 ![X0]: (~ssList(X0)|neq(X0,cons(sk0_51,nil))|X0=cons(sk0_51,nil)|~spl0_18)),
% 0.11/0.50 inference(resolution,[status(thm)],[f601,f220])).
% 0.11/0.50 fof(f860,plain,(
% 0.11/0.50 app(cons(sk0_51,nil),nil)=cons(sk0_51,nil)|~spl0_18),
% 0.11/0.50 inference(resolution,[status(thm)],[f601,f389])).
% 0.11/0.50 fof(f861,plain,(
% 0.11/0.50 app(nil,cons(sk0_51,nil))=cons(sk0_51,nil)|~spl0_18),
% 0.11/0.50 inference(resolution,[status(thm)],[f601,f249])).
% 0.11/0.50 fof(f863,plain,(
% 0.11/0.50 ~neq(cons(sk0_51,nil),cons(sk0_51,nil))|~spl0_18),
% 0.11/0.50 inference(resolution,[status(thm)],[f601,f489])).
% 0.11/0.50 fof(f864,plain,(
% 0.11/0.50 spl0_41 <=> ~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(app(cons(sk0_51,nil),nil),X0),nil)|~ssList(X0)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f867,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|~ssList(nil)|segmentP(app(app(cons(sk0_51,nil),nil),X0),nil)|~ssList(cons(sk0_51,nil))|~ssList(X0)|~spl0_18)),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f860,f479])).
% 0.11/0.50 fof(f868,plain,(
% 0.11/0.50 spl0_41|~spl0_11|~spl0_18),
% 0.11/0.50 inference(split_clause,[status(thm)],[f867,f864,f521,f600])).
% 0.11/0.50 fof(f870,plain,(
% 0.11/0.50 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_52)|~ssList(nil)|~spl0_5|~spl0_17),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f516,f792])).
% 0.11/0.50 fof(f871,plain,(
% 0.11/0.50 ~spl0_25|spl0_40|~spl0_11|~spl0_5|~spl0_17),
% 0.11/0.50 inference(split_clause,[status(thm)],[f870,f676,f850,f521,f454,f597])).
% 0.11/0.50 fof(f872,plain,(
% 0.11/0.50 spl0_42 <=> ssList(app(sk0_47,nil))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f874,plain,(
% 0.11/0.50 ~ssList(app(sk0_47,nil))|spl0_42),
% 0.11/0.50 inference(component_clause,[status(thm)],[f872])).
% 0.11/0.50 fof(f875,plain,(
% 0.11/0.50 spl0_43 <=> segmentP(sk0_47,cons(sk0_51,nil))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f876,plain,(
% 0.11/0.50 segmentP(sk0_47,cons(sk0_51,nil))|~spl0_43),
% 0.11/0.50 inference(component_clause,[status(thm)],[f875])).
% 0.11/0.50 fof(f878,plain,(
% 0.11/0.50 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,cons(sk0_51,nil))|~ssList(nil)|~spl0_6|~spl0_32),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f517,f793])).
% 0.11/0.50 fof(f879,plain,(
% 0.11/0.50 ~spl0_42|spl0_43|~spl0_11|~spl0_6|~spl0_32),
% 0.11/0.50 inference(split_clause,[status(thm)],[f878,f872,f875,f521,f458,f722])).
% 0.11/0.50 fof(f880,plain,(
% 0.11/0.50 ~ssList(sk0_47)|spl0_42),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f517,f874])).
% 0.11/0.50 fof(f881,plain,(
% 0.11/0.50 $false|spl0_42),
% 0.11/0.50 inference(forward_subsumption_resolution,[status(thm)],[f880,f420])).
% 0.11/0.50 fof(f882,plain,(
% 0.11/0.50 spl0_42),
% 0.11/0.50 inference(contradiction_clause,[status(thm)],[f881])).
% 0.11/0.50 fof(f886,plain,(
% 0.11/0.50 spl0_44 <=> neq(cons(sk0_51,nil),nil)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f888,plain,(
% 0.11/0.50 ~neq(cons(sk0_51,nil),nil)|spl0_44),
% 0.11/0.50 inference(component_clause,[status(thm)],[f886])).
% 0.11/0.50 fof(f889,plain,(
% 0.11/0.50 spl0_45 <=> segmentP(sk0_48,cons(sk0_51,nil))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f892,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|~neq(cons(sk0_51,nil),nil)|~segmentP(sk0_48,cons(sk0_51,nil))|~spl0_43|~spl0_9),
% 0.11/0.50 inference(resolution,[status(thm)],[f876,f470])).
% 0.11/0.50 fof(f893,plain,(
% 0.11/0.50 ~spl0_18|~spl0_44|~spl0_45|~spl0_43|~spl0_9),
% 0.11/0.50 inference(split_clause,[status(thm)],[f892,f600,f886,f889,f875,f469])).
% 0.11/0.50 fof(f894,plain,(
% 0.11/0.50 spl0_46 <=> memberP(app(nil,cons(sk0_51,nil)),sk0_51)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f895,plain,(
% 0.11/0.50 memberP(app(nil,cons(sk0_51,nil)),sk0_51)|~spl0_46),
% 0.11/0.50 inference(component_clause,[status(thm)],[f894])).
% 0.11/0.50 fof(f897,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|~ssItem(sk0_51)|memberP(app(nil,cons(sk0_51,nil)),sk0_51)|~ssList(nil)|~ssList(nil)|~spl0_18),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f861,f475])).
% 0.11/0.50 fof(f898,plain,(
% 0.11/0.50 ~spl0_18|~spl0_2|spl0_46|~spl0_11),
% 0.11/0.50 inference(split_clause,[status(thm)],[f897,f600,f443,f894,f521])).
% 0.11/0.50 fof(f899,plain,(
% 0.11/0.50 spl0_47 <=> ~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(app(nil,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(X0)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f900,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(app(nil,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(X0)|~spl0_47)),
% 0.11/0.50 inference(component_clause,[status(thm)],[f899])).
% 0.11/0.50 fof(f902,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|~ssList(cons(sk0_51,nil))|segmentP(app(app(nil,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(nil)|~ssList(X0)|~spl0_18)),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f861,f479])).
% 0.11/0.50 fof(f903,plain,(
% 0.11/0.50 spl0_47|~spl0_18|~spl0_11),
% 0.11/0.50 inference(split_clause,[status(thm)],[f902,f899,f600,f521])).
% 0.11/0.50 fof(f904,plain,(
% 0.11/0.50 memberP(cons(sk0_51,nil),sk0_51)|~spl0_18|~spl0_46),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f861,f895])).
% 0.11/0.50 fof(f905,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(cons(sk0_51,nil),X0),cons(sk0_51,nil))|~ssList(X0)|~spl0_18|~spl0_47)),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f861,f900])).
% 0.11/0.50 fof(f906,plain,(
% 0.11/0.50 spl0_48 <=> segmentP(sk0_47,sk0_47)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f909,plain,(
% 0.11/0.50 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_15),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f517,f556])).
% 0.11/0.50 fof(f910,plain,(
% 0.11/0.50 ~spl0_42|spl0_48|~spl0_11|~spl0_15),
% 0.11/0.50 inference(split_clause,[status(thm)],[f909,f872,f906,f521,f537])).
% 0.11/0.50 fof(f911,plain,(
% 0.11/0.50 spl0_49 <=> cons(sk0_51,nil)=cons(sk0_51,nil)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f914,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|cons(sk0_51,nil)=cons(sk0_51,nil)|~spl0_18),
% 0.11/0.50 inference(resolution,[status(thm)],[f857,f863])).
% 0.11/0.50 fof(f915,plain,(
% 0.11/0.50 ~spl0_18|spl0_49),
% 0.11/0.50 inference(split_clause,[status(thm)],[f914,f600,f911])).
% 0.11/0.50 fof(f916,plain,(
% 0.11/0.50 spl0_50 <=> ssList(app(cons(sk0_51,nil),nil))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f918,plain,(
% 0.11/0.50 ~ssList(app(cons(sk0_51,nil),nil))|spl0_50),
% 0.11/0.50 inference(component_clause,[status(thm)],[f916])).
% 0.11/0.50 fof(f919,plain,(
% 0.11/0.50 spl0_51 <=> segmentP(cons(sk0_51,nil),cons(sk0_51,nil))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f922,plain,(
% 0.11/0.50 ~ssList(app(cons(sk0_51,nil),nil))|segmentP(cons(sk0_51,nil),cons(sk0_51,nil))|~ssList(nil)|~spl0_47|~spl0_18),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f860,f905])).
% 0.11/0.50 fof(f923,plain,(
% 0.11/0.50 ~spl0_50|spl0_51|~spl0_11|~spl0_47|~spl0_18),
% 0.11/0.50 inference(split_clause,[status(thm)],[f922,f916,f919,f521,f899,f600])).
% 0.11/0.50 fof(f924,plain,(
% 0.11/0.50 spl0_52 <=> ssList(app(cons(sk0_51,nil),sk0_52))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f926,plain,(
% 0.11/0.50 ~ssList(app(cons(sk0_51,nil),sk0_52))|spl0_52),
% 0.11/0.50 inference(component_clause,[status(thm)],[f924])).
% 0.11/0.50 fof(f927,plain,(
% 0.11/0.50 ~ssList(app(cons(sk0_51,nil),sk0_52))|segmentP(sk0_48,cons(sk0_51,nil))|~ssList(sk0_52)|~spl0_18|~spl0_47|~spl0_5),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f581,f905])).
% 0.11/0.50 fof(f928,plain,(
% 0.11/0.50 ~spl0_52|spl0_45|~spl0_4|~spl0_18|~spl0_47|~spl0_5),
% 0.11/0.50 inference(split_clause,[status(thm)],[f927,f924,f889,f450,f600,f899,f454])).
% 0.11/0.50 fof(f929,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|~spl0_18|spl0_50),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f860,f918])).
% 0.11/0.50 fof(f930,plain,(
% 0.11/0.50 $false|~spl0_18|spl0_50),
% 0.11/0.50 inference(forward_subsumption_resolution,[status(thm)],[f929,f601])).
% 0.11/0.50 fof(f931,plain,(
% 0.11/0.50 ~spl0_18|spl0_50),
% 0.11/0.50 inference(contradiction_clause,[status(thm)],[f930])).
% 0.11/0.50 fof(f932,plain,(
% 0.11/0.50 ~ssList(sk0_48)|~spl0_5|spl0_52),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f581,f926])).
% 0.11/0.50 fof(f933,plain,(
% 0.11/0.50 $false|~spl0_5|spl0_52),
% 0.11/0.50 inference(forward_subsumption_resolution,[status(thm)],[f932,f421])).
% 0.11/0.50 fof(f934,plain,(
% 0.11/0.50 ~spl0_5|spl0_52),
% 0.11/0.50 inference(contradiction_clause,[status(thm)],[f933])).
% 0.11/0.50 fof(f939,plain,(
% 0.11/0.50 spl0_53 <=> app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))=cons(sk0_51,nil)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f940,plain,(
% 0.11/0.50 app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))=cons(sk0_51,nil)|~spl0_53),
% 0.11/0.50 inference(component_clause,[status(thm)],[f939])).
% 0.11/0.50 fof(f942,plain,(
% 0.11/0.50 ~ssItem(sk0_51)|app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))=cons(sk0_51,nil)|~spl0_18|~spl0_46),
% 0.11/0.50 inference(resolution,[status(thm)],[f855,f904])).
% 0.11/0.50 fof(f943,plain,(
% 0.11/0.50 ~spl0_2|spl0_53|~spl0_18|~spl0_46),
% 0.11/0.50 inference(split_clause,[status(thm)],[f942,f443,f939,f600,f894])).
% 0.11/0.50 fof(f944,plain,(
% 0.11/0.50 spl0_54 <=> memberP(app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil)))),sk0_51)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f947,plain,(
% 0.11/0.50 spl0_55 <=> ssList(sk0_2(sk0_51,cons(sk0_51,nil)))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f949,plain,(
% 0.11/0.50 ~ssList(sk0_2(sk0_51,cons(sk0_51,nil)))|spl0_55),
% 0.11/0.50 inference(component_clause,[status(thm)],[f947])).
% 0.11/0.50 fof(f950,plain,(
% 0.11/0.50 spl0_56 <=> ssList(sk0_3(sk0_51,cons(sk0_51,nil)))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f952,plain,(
% 0.11/0.50 ~ssList(sk0_3(sk0_51,cons(sk0_51,nil)))|spl0_56),
% 0.11/0.50 inference(component_clause,[status(thm)],[f950])).
% 0.11/0.50 fof(f953,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|~ssItem(sk0_51)|memberP(app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil)))),sk0_51)|~ssList(sk0_2(sk0_51,cons(sk0_51,nil)))|~ssList(sk0_3(sk0_51,cons(sk0_51,nil)))|~spl0_53),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f940,f475])).
% 0.11/0.50 fof(f954,plain,(
% 0.11/0.50 ~spl0_18|~spl0_2|spl0_54|~spl0_55|~spl0_56|~spl0_53),
% 0.11/0.50 inference(split_clause,[status(thm)],[f953,f600,f443,f944,f947,f950,f939])).
% 0.11/0.50 fof(f955,plain,(
% 0.11/0.50 spl0_57 <=> ~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil)))),X0),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|~ssList(X0)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f956,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil)))),X0),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|~ssList(X0)|~spl0_57)),
% 0.11/0.50 inference(component_clause,[status(thm)],[f955])).
% 0.11/0.50 fof(f958,plain,(
% 0.11/0.50 spl0_58 <=> ssList(cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f960,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|spl0_58),
% 0.11/0.50 inference(component_clause,[status(thm)],[f958])).
% 0.11/0.50 fof(f961,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|~ssList(cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|segmentP(app(app(sk0_2(sk0_51,cons(sk0_51,nil)),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil)))),X0),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|~ssList(sk0_2(sk0_51,cons(sk0_51,nil)))|~ssList(X0)|~spl0_53)),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f940,f479])).
% 0.11/0.50 fof(f962,plain,(
% 0.11/0.50 spl0_57|~spl0_58|~spl0_55|~spl0_53),
% 0.11/0.50 inference(split_clause,[status(thm)],[f961,f955,f958,f947,f939])).
% 0.11/0.50 fof(f963,plain,(
% 0.11/0.50 ~ssList(sk0_3(sk0_51,cons(sk0_51,nil)))|~ssItem(sk0_51)|spl0_58),
% 0.11/0.50 inference(resolution,[status(thm)],[f960,f222])).
% 0.11/0.50 fof(f964,plain,(
% 0.11/0.50 ~spl0_56|~spl0_2|spl0_58),
% 0.11/0.50 inference(split_clause,[status(thm)],[f963,f950,f443,f958])).
% 0.11/0.50 fof(f965,plain,(
% 0.11/0.50 spl0_59 <=> memberP(cons(sk0_51,nil),sk0_51)),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f967,plain,(
% 0.11/0.50 ~memberP(cons(sk0_51,nil),sk0_51)|spl0_59),
% 0.11/0.50 inference(component_clause,[status(thm)],[f965])).
% 0.11/0.50 fof(f968,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|~ssItem(sk0_51)|~memberP(cons(sk0_51,nil),sk0_51)|spl0_56),
% 0.11/0.50 inference(resolution,[status(thm)],[f952,f110])).
% 0.11/0.50 fof(f969,plain,(
% 0.11/0.50 ~spl0_18|~spl0_2|~spl0_59|spl0_56),
% 0.11/0.50 inference(split_clause,[status(thm)],[f968,f600,f443,f965,f950])).
% 0.11/0.50 fof(f970,plain,(
% 0.11/0.50 $false|~spl0_18|~spl0_46|spl0_59),
% 0.11/0.50 inference(forward_subsumption_resolution,[status(thm)],[f967,f904])).
% 0.11/0.50 fof(f971,plain,(
% 0.11/0.50 ~spl0_18|~spl0_46|spl0_59),
% 0.11/0.50 inference(contradiction_clause,[status(thm)],[f970])).
% 0.11/0.50 fof(f972,plain,(
% 0.11/0.50 ~ssList(cons(sk0_51,nil))|~ssItem(sk0_51)|~memberP(cons(sk0_51,nil),sk0_51)|spl0_55),
% 0.11/0.50 inference(resolution,[status(thm)],[f949,f109])).
% 0.11/0.50 fof(f973,plain,(
% 0.11/0.50 ~spl0_18|~spl0_2|~spl0_59|spl0_55),
% 0.11/0.50 inference(split_clause,[status(thm)],[f972,f600,f443,f965,f947])).
% 0.11/0.50 fof(f974,plain,(
% 0.11/0.50 ![X0]: (~ssList(app(cons(sk0_51,nil),X0))|segmentP(app(cons(sk0_51,nil),X0),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|~ssList(X0)|~spl0_53|~spl0_57)),
% 0.11/0.50 inference(forward_demodulation,[status(thm)],[f940,f956])).
% 0.11/0.50 fof(f993,plain,(
% 0.11/0.50 spl0_60 <=> segmentP(cons(sk0_51,nil),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f996,plain,(
% 0.11/0.50 ~ssList(app(cons(sk0_51,nil),nil))|segmentP(cons(sk0_51,nil),cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|~ssList(nil)|~spl0_53|~spl0_57|~spl0_18),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f860,f974])).
% 0.11/0.50 fof(f997,plain,(
% 0.11/0.50 ~spl0_50|spl0_60|~spl0_11|~spl0_53|~spl0_57|~spl0_18),
% 0.11/0.50 inference(split_clause,[status(thm)],[f996,f916,f993,f521,f939,f955,f600])).
% 0.11/0.50 fof(f998,plain,(
% 0.11/0.50 spl0_61 <=> segmentP(sk0_48,cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))),
% 0.11/0.50 introduced(split_symbol_definition)).
% 0.11/0.50 fof(f1001,plain,(
% 0.11/0.50 ~ssList(app(cons(sk0_51,nil),sk0_52))|segmentP(sk0_48,cons(sk0_51,sk0_3(sk0_51,cons(sk0_51,nil))))|~ssList(sk0_52)|~spl0_53|~spl0_57|~spl0_5),
% 0.11/0.50 inference(paramodulation,[status(thm)],[f581,f974])).
% 0.11/0.51 fof(f1002,plain,(
% 0.11/0.51 ~spl0_52|spl0_61|~spl0_4|~spl0_53|~spl0_57|~spl0_5),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1001,f924,f998,f450,f939,f955,f454])).
% 0.11/0.51 fof(f1003,plain,(
% 0.11/0.51 spl0_62 <=> app(sk0_2(sk0_51,sk0_47),cons(sk0_51,sk0_3(sk0_51,sk0_47)))=sk0_47),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f1006,plain,(
% 0.11/0.51 ~ssItem(sk0_51)|app(sk0_2(sk0_51,sk0_47),cons(sk0_51,sk0_3(sk0_51,sk0_47)))=sk0_47|~spl0_6|~spl0_37),
% 0.11/0.51 inference(resolution,[status(thm)],[f826,f836])).
% 0.11/0.51 fof(f1007,plain,(
% 0.11/0.51 ~spl0_2|spl0_62|~spl0_6|~spl0_37),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1006,f443,f1003,f458,f831])).
% 0.11/0.51 fof(f1008,plain,(
% 0.11/0.51 spl0_63 <=> sk0_48=sk0_48),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f1011,plain,(
% 0.11/0.51 ~ssList(sk0_48)|sk0_48=sk0_48),
% 0.11/0.51 inference(resolution,[status(thm)],[f510,f776])).
% 0.11/0.51 fof(f1012,plain,(
% 0.11/0.51 ~spl0_14|spl0_63),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1011,f532,f1008])).
% 0.11/0.51 fof(f1013,plain,(
% 0.11/0.51 spl0_64 <=> sk0_47=sk0_47),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f1016,plain,(
% 0.11/0.51 ~ssList(sk0_47)|sk0_47=sk0_47),
% 0.11/0.51 inference(resolution,[status(thm)],[f511,f775])).
% 0.11/0.51 fof(f1017,plain,(
% 0.11/0.51 ~spl0_12|spl0_64),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1016,f524,f1013])).
% 0.11/0.51 fof(f1018,plain,(
% 0.11/0.51 spl0_65 <=> cons(sk0_51,nil)=nil),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f1019,plain,(
% 0.11/0.51 cons(sk0_51,nil)=nil|~spl0_65),
% 0.11/0.51 inference(component_clause,[status(thm)],[f1018])).
% 0.11/0.51 fof(f1021,plain,(
% 0.11/0.51 ~ssList(cons(sk0_51,nil))|cons(sk0_51,nil)=nil|spl0_44),
% 0.11/0.51 inference(resolution,[status(thm)],[f795,f888])).
% 0.11/0.51 fof(f1022,plain,(
% 0.11/0.51 ~spl0_18|spl0_65|spl0_44),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1021,f600,f1018,f886])).
% 0.11/0.51 fof(f1025,plain,(
% 0.11/0.51 spl0_66 <=> sk0_52=nil),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f1026,plain,(
% 0.11/0.51 sk0_52=nil|~spl0_66),
% 0.11/0.51 inference(component_clause,[status(thm)],[f1025])).
% 0.11/0.51 fof(f1028,plain,(
% 0.11/0.51 ~ssList(sk0_52)|sk0_52=nil|spl0_39),
% 0.11/0.51 inference(resolution,[status(thm)],[f795,f849])).
% 0.11/0.51 fof(f1029,plain,(
% 0.11/0.51 ~spl0_4|spl0_66|spl0_39),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1028,f450,f1025,f847])).
% 0.11/0.51 fof(f1042,plain,(
% 0.11/0.51 app(cons(sk0_51,nil),nil)=sk0_48|~spl0_66|~spl0_5),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f1026,f581])).
% 0.11/0.51 fof(f1043,plain,(
% 0.11/0.51 cons(sk0_51,nil)=sk0_48|~spl0_18|~spl0_66|~spl0_5),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f860,f1042])).
% 0.11/0.51 fof(f1044,plain,(
% 0.11/0.51 nil=sk0_48|~spl0_65|~spl0_18|~spl0_66|~spl0_5),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1019,f1043])).
% 0.11/0.51 fof(f1045,plain,(
% 0.11/0.51 $false|spl0_1|~spl0_65|~spl0_18|~spl0_66|~spl0_5),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1044,f504])).
% 0.11/0.51 fof(f1046,plain,(
% 0.11/0.51 spl0_1|~spl0_65|~spl0_18|~spl0_66|~spl0_5),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1045])).
% 0.11/0.51 fof(f1047,plain,(
% 0.11/0.51 $false),
% 0.11/0.51 inference(sat_refutation,[status(thm)],[f442,f449,f453,f457,f461,f468,f472,f528,f536,f541,f546,f548,f550,f552,f577,f579,f587,f604,f646,f652,f675,f683,f686,f695,f698,f713,f721,f726,f733,f737,f774,f781,f791,f820,f835,f846,f854,f868,f871,f879,f882,f893,f898,f903,f910,f915,f923,f928,f931,f934,f943,f954,f962,f964,f969,f971,f973,f997,f1002,f1007,f1012,f1017,f1022,f1029,f1046])).
% 0.11/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.51 % Elapsed time: 0.240511 seconds
% 0.11/0.51 % CPU time: 1.784003 seconds
% 0.11/0.51 % Total memory used: 83.795 MB
% 0.11/0.51 % Net memory used: 82.769 MB
%------------------------------------------------------------------------------