TSTP Solution File: SWC061+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:39:05 EDT 2023
% Result : Theorem 3.01s 1.02s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC061+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n001.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 : Tue May 30 11:55:30 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 3.01/1.02 % Refutation found
% 3.01/1.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.01/1.02 % SZS output start CNFRefutation for theBenchmark
% 3.01/1.02 fof(f1,axiom,(
% 3.01/1.02 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f3,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f7,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f15,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f16,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f17,axiom,(
% 3.01/1.02 ssList(nil) ),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f28,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f32,axiom,(
% 3.01/1.02 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( geq(U,V)<=> leq(V,U) ) ) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f55,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f57,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f58,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f84,axiom,(
% 3.01/1.02 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f89,axiom,(
% 3.01/1.02 (! [U] :( ssItem(U)=> geq(U,U) ) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f96,conjecture,(
% 3.01/1.02 (! [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) ) )) ) ) )) )) )) )),
% 3.01/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.01/1.02 fof(f97,negated_conjecture,(
% 3.01/1.02 ~((! [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) ) )) ) ) )) )) )) ))),
% 3.01/1.02 inference(negated_conjecture,[status(cth)],[f96])).
% 3.01/1.02 fof(f98,plain,(
% 3.01/1.02 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.01/1.02 fof(f99,plain,(
% 3.01/1.02 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 3.01/1.02 inference(NNF_transformation,[status(esa)],[f98])).
% 3.01/1.02 fof(f100,plain,(
% 3.01/1.02 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f99])).
% 3.01/1.02 fof(f101,plain,(
% 3.01/1.02 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f99])).
% 3.01/1.02 fof(f106,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.01/1.02 fof(f107,plain,(
% 3.01/1.02 ![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)))))))))),
% 3.01/1.02 inference(NNF_transformation,[status(esa)],[f106])).
% 3.01/1.02 fof(f108,plain,(
% 3.01/1.02 ![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)))))))))),
% 3.01/1.02 inference(skolemization,[status(esa)],[f107])).
% 3.01/1.02 fof(f112,plain,(
% 3.01/1.02 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f108])).
% 3.01/1.02 fof(f131,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.01/1.02 fof(f132,plain,(
% 3.01/1.02 ![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)))))))))),
% 3.01/1.02 inference(NNF_transformation,[status(esa)],[f131])).
% 3.01/1.02 fof(f133,plain,(
% 3.01/1.02 ![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)))))))))),
% 3.01/1.02 inference(skolemization,[status(esa)],[f132])).
% 3.01/1.02 fof(f137,plain,(
% 3.01/1.02 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f133])).
% 3.01/1.02 fof(f217,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.01/1.02 fof(f218,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 3.01/1.02 inference(NNF_transformation,[status(esa)],[f217])).
% 3.01/1.02 fof(f219,plain,(
% 3.01/1.02 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f218])).
% 3.01/1.02 fof(f220,plain,(
% 3.01/1.02 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f218])).
% 3.01/1.02 fof(f221,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.01/1.02 fof(f222,plain,(
% 3.01/1.02 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f221])).
% 3.01/1.02 fof(f223,plain,(
% 3.01/1.02 ssList(nil)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f17])).
% 3.01/1.02 fof(f248,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|app(nil,U)=U)),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 3.01/1.02 fof(f249,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f248])).
% 3.01/1.02 fof(f256,plain,(
% 3.01/1.02 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(geq(U,V)<=>leq(V,U)))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 3.01/1.02 fof(f257,plain,(
% 3.01/1.02 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~geq(U,V)|leq(V,U))&(geq(U,V)|~leq(V,U))))))),
% 3.01/1.02 inference(NNF_transformation,[status(esa)],[f256])).
% 3.01/1.02 fof(f258,plain,(
% 3.01/1.02 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~geq(X0,X1)|leq(X1,X0))),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f257])).
% 3.01/1.02 fof(f318,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|segmentP(U,U))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 3.01/1.02 fof(f319,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f318])).
% 3.01/1.02 fof(f322,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|segmentP(U,nil))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.01/1.02 fof(f323,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f322])).
% 3.01/1.02 fof(f324,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.01/1.02 fof(f325,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 3.01/1.02 inference(NNF_transformation,[status(esa)],[f324])).
% 3.01/1.02 fof(f326,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f325])).
% 3.01/1.02 fof(f388,plain,(
% 3.01/1.02 ![U]: (~ssList(U)|app(U,nil)=U)),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 3.01/1.02 fof(f389,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f388])).
% 3.01/1.02 fof(f398,plain,(
% 3.01/1.02 ![U]: (~ssItem(U)|geq(U,U))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 3.01/1.02 fof(f399,plain,(
% 3.01/1.02 ![X0]: (~ssItem(X0)|geq(X0,X0))),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f398])).
% 3.01/1.02 fof(f415,plain,(
% 3.01/1.02 (?[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)))))))))))))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 3.01/1.02 fof(f416,plain,(
% 3.01/1.02 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 3.01/1.02 introduced(predicate_definition,[f415])).
% 3.01/1.02 fof(f417,plain,(
% 3.01/1.02 ?[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))))))))))))),
% 3.01/1.02 inference(formula_renaming,[status(thm)],[f415,f416])).
% 3.01/1.02 fof(f418,plain,(
% 3.01/1.02 ?[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)))))))))))),
% 3.01/1.02 inference(miniscoping,[status(esa)],[f417])).
% 3.01/1.02 fof(f419,plain,(
% 3.01/1.02 (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)))))))))),
% 3.01/1.02 inference(skolemization,[status(esa)],[f418])).
% 3.01/1.02 fof(f420,plain,(
% 3.01/1.02 ssList(sk0_47)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f421,plain,(
% 3.01/1.02 ssList(sk0_48)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f424,plain,(
% 3.01/1.02 sk0_48=sk0_50),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f425,plain,(
% 3.01/1.02 sk0_47=sk0_49),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f426,plain,(
% 3.01/1.02 nil=sk0_49|~nil=sk0_50),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f427,plain,(
% 3.01/1.02 ssItem(sk0_51)|~neq(sk0_50,nil)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f428,plain,(
% 3.01/1.02 ssList(sk0_52)|~neq(sk0_50,nil)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f429,plain,(
% 3.01/1.02 app(cons(sk0_51,nil),sk0_52)=sk0_50|~neq(sk0_50,nil)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f430,plain,(
% 3.01/1.02 app(sk0_52,cons(sk0_51,nil))=sk0_49|~neq(sk0_50,nil)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f431,plain,(
% 3.01/1.02 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f432,plain,(
% 3.01/1.02 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f419])).
% 3.01/1.02 fof(f433,plain,(
% 3.01/1.02 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 3.01/1.02 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 3.01/1.02 fof(f434,plain,(
% 3.01/1.02 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f433])).
% 3.01/1.02 fof(f435,plain,(
% 3.01/1.02 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 3.01/1.02 inference(cnf_transformation,[status(esa)],[f433])).
% 3.01/1.02 fof(f436,plain,(
% 3.01/1.02 spl0_0 <=> nil=sk0_49),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f437,plain,(
% 3.01/1.02 nil=sk0_49|~spl0_0),
% 3.01/1.02 inference(component_clause,[status(thm)],[f436])).
% 3.01/1.02 fof(f439,plain,(
% 3.01/1.02 spl0_1 <=> nil=sk0_50),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f440,plain,(
% 3.01/1.02 nil=sk0_50|~spl0_1),
% 3.01/1.02 inference(component_clause,[status(thm)],[f439])).
% 3.01/1.02 fof(f441,plain,(
% 3.01/1.02 ~nil=sk0_50|spl0_1),
% 3.01/1.02 inference(component_clause,[status(thm)],[f439])).
% 3.01/1.02 fof(f442,plain,(
% 3.01/1.02 spl0_0|~spl0_1),
% 3.01/1.02 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 3.01/1.02 fof(f443,plain,(
% 3.01/1.02 spl0_2 <=> ssItem(sk0_51)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f444,plain,(
% 3.01/1.02 ssItem(sk0_51)|~spl0_2),
% 3.01/1.02 inference(component_clause,[status(thm)],[f443])).
% 3.01/1.02 fof(f446,plain,(
% 3.01/1.02 spl0_3 <=> neq(sk0_50,nil)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f447,plain,(
% 3.01/1.02 neq(sk0_50,nil)|~spl0_3),
% 3.01/1.02 inference(component_clause,[status(thm)],[f446])).
% 3.01/1.02 fof(f448,plain,(
% 3.01/1.02 ~neq(sk0_50,nil)|spl0_3),
% 3.01/1.02 inference(component_clause,[status(thm)],[f446])).
% 3.01/1.02 fof(f449,plain,(
% 3.01/1.02 spl0_2|~spl0_3),
% 3.01/1.02 inference(split_clause,[status(thm)],[f427,f443,f446])).
% 3.01/1.02 fof(f450,plain,(
% 3.01/1.02 spl0_4 <=> ssList(sk0_52)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f451,plain,(
% 3.01/1.02 ssList(sk0_52)|~spl0_4),
% 3.01/1.02 inference(component_clause,[status(thm)],[f450])).
% 3.01/1.02 fof(f453,plain,(
% 3.01/1.02 spl0_4|~spl0_3),
% 3.01/1.02 inference(split_clause,[status(thm)],[f428,f450,f446])).
% 3.01/1.02 fof(f454,plain,(
% 3.01/1.02 spl0_5 <=> app(cons(sk0_51,nil),sk0_52)=sk0_50),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f455,plain,(
% 3.01/1.02 app(cons(sk0_51,nil),sk0_52)=sk0_50|~spl0_5),
% 3.01/1.02 inference(component_clause,[status(thm)],[f454])).
% 3.01/1.02 fof(f457,plain,(
% 3.01/1.02 spl0_5|~spl0_3),
% 3.01/1.02 inference(split_clause,[status(thm)],[f429,f454,f446])).
% 3.01/1.02 fof(f458,plain,(
% 3.01/1.02 spl0_6 <=> app(sk0_52,cons(sk0_51,nil))=sk0_49),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f459,plain,(
% 3.01/1.02 app(sk0_52,cons(sk0_51,nil))=sk0_49|~spl0_6),
% 3.01/1.02 inference(component_clause,[status(thm)],[f458])).
% 3.01/1.02 fof(f461,plain,(
% 3.01/1.02 spl0_6|~spl0_3),
% 3.01/1.02 inference(split_clause,[status(thm)],[f430,f458,f446])).
% 3.01/1.02 fof(f462,plain,(
% 3.01/1.02 spl0_7 <=> pd0_0(sk0_48,sk0_47)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f463,plain,(
% 3.01/1.02 pd0_0(sk0_48,sk0_47)|~spl0_7),
% 3.01/1.02 inference(component_clause,[status(thm)],[f462])).
% 3.01/1.02 fof(f465,plain,(
% 3.01/1.02 spl0_8 <=> neq(sk0_48,nil)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f466,plain,(
% 3.01/1.02 neq(sk0_48,nil)|~spl0_8),
% 3.01/1.02 inference(component_clause,[status(thm)],[f465])).
% 3.01/1.02 fof(f468,plain,(
% 3.01/1.02 spl0_7|spl0_8),
% 3.01/1.02 inference(split_clause,[status(thm)],[f431,f462,f465])).
% 3.01/1.02 fof(f469,plain,(
% 3.01/1.02 spl0_9 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f470,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_9)),
% 3.01/1.02 inference(component_clause,[status(thm)],[f469])).
% 3.01/1.02 fof(f472,plain,(
% 3.01/1.02 spl0_7|spl0_9),
% 3.01/1.02 inference(split_clause,[status(thm)],[f432,f462,f469])).
% 3.01/1.02 fof(f473,plain,(
% 3.01/1.02 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 3.01/1.02 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 3.01/1.02 fof(f474,plain,(
% 3.01/1.02 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 3.01/1.02 inference(duplicate_literals_removal,[status(esa)],[f473])).
% 3.01/1.02 fof(f475,plain,(
% 3.01/1.02 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 3.01/1.02 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 3.01/1.02 fof(f479,plain,(
% 3.01/1.02 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 3.01/1.02 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 3.01/1.02 fof(f488,plain,(
% 3.01/1.02 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 3.01/1.02 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 3.01/1.02 fof(f489,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 3.01/1.02 inference(duplicate_literals_removal,[status(esa)],[f488])).
% 3.01/1.02 fof(f503,plain,(
% 3.01/1.02 ![X0]: (~pd0_0(X0,nil))),
% 3.01/1.02 inference(destructive_equality_resolution,[status(esa)],[f435])).
% 3.01/1.02 fof(f504,plain,(
% 3.01/1.02 ~nil=sk0_48|spl0_1),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 3.01/1.02 fof(f505,plain,(
% 3.01/1.02 ~neq(sk0_48,nil)|spl0_3),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 3.01/1.02 fof(f511,plain,(
% 3.01/1.02 ~neq(sk0_47,sk0_47)),
% 3.01/1.02 inference(resolution,[status(thm)],[f489,f420])).
% 3.01/1.02 fof(f512,plain,(
% 3.01/1.02 segmentP(sk0_48,sk0_48)),
% 3.01/1.02 inference(resolution,[status(thm)],[f319,f421])).
% 3.01/1.02 fof(f513,plain,(
% 3.01/1.02 segmentP(sk0_47,sk0_47)),
% 3.01/1.02 inference(resolution,[status(thm)],[f319,f420])).
% 3.01/1.02 fof(f514,plain,(
% 3.01/1.02 app(nil,sk0_48)=sk0_48),
% 3.01/1.02 inference(resolution,[status(thm)],[f249,f421])).
% 3.01/1.02 fof(f515,plain,(
% 3.01/1.02 app(nil,sk0_47)=sk0_47),
% 3.01/1.02 inference(resolution,[status(thm)],[f249,f420])).
% 3.01/1.02 fof(f516,plain,(
% 3.01/1.02 app(sk0_48,nil)=sk0_48),
% 3.01/1.02 inference(resolution,[status(thm)],[f389,f421])).
% 3.01/1.02 fof(f517,plain,(
% 3.01/1.02 app(sk0_47,nil)=sk0_47),
% 3.01/1.02 inference(resolution,[status(thm)],[f389,f420])).
% 3.01/1.02 fof(f518,plain,(
% 3.01/1.02 spl0_10 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f521,plain,(
% 3.01/1.02 spl0_11 <=> ssList(sk0_47)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f523,plain,(
% 3.01/1.02 ~ssList(sk0_47)|spl0_11),
% 3.01/1.02 inference(component_clause,[status(thm)],[f521])).
% 3.01/1.02 fof(f524,plain,(
% 3.01/1.02 spl0_12 <=> ssList(nil)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f526,plain,(
% 3.01/1.02 ~ssList(nil)|spl0_12),
% 3.01/1.02 inference(component_clause,[status(thm)],[f524])).
% 3.01/1.02 fof(f527,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f515,f479])).
% 3.01/1.02 fof(f528,plain,(
% 3.01/1.02 spl0_10|~spl0_11|~spl0_12),
% 3.01/1.02 inference(split_clause,[status(thm)],[f527,f518,f521,f524])).
% 3.01/1.02 fof(f529,plain,(
% 3.01/1.02 spl0_13 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f530,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_13)),
% 3.01/1.02 inference(component_clause,[status(thm)],[f529])).
% 3.01/1.02 fof(f532,plain,(
% 3.01/1.02 spl0_14 <=> ssList(sk0_48)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f534,plain,(
% 3.01/1.02 ~ssList(sk0_48)|spl0_14),
% 3.01/1.02 inference(component_clause,[status(thm)],[f532])).
% 3.01/1.02 fof(f535,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f514,f479])).
% 3.01/1.02 fof(f536,plain,(
% 3.01/1.02 spl0_13|~spl0_14|~spl0_12),
% 3.01/1.02 inference(split_clause,[status(thm)],[f535,f529,f532,f524])).
% 3.01/1.02 fof(f537,plain,(
% 3.01/1.02 $false|spl0_14),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f534,f421])).
% 3.01/1.02 fof(f538,plain,(
% 3.01/1.02 spl0_14),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f537])).
% 3.01/1.02 fof(f539,plain,(
% 3.01/1.02 $false|spl0_12),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f526,f223])).
% 3.01/1.02 fof(f540,plain,(
% 3.01/1.02 spl0_12),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f539])).
% 3.01/1.02 fof(f541,plain,(
% 3.01/1.02 $false|spl0_11),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f523,f420])).
% 3.01/1.02 fof(f542,plain,(
% 3.01/1.02 spl0_11),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f541])).
% 3.01/1.02 fof(f543,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_13)),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f514,f530])).
% 3.01/1.02 fof(f559,plain,(
% 3.01/1.02 spl0_15 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f562,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f516,f479])).
% 3.01/1.02 fof(f563,plain,(
% 3.01/1.02 spl0_15|~spl0_12|~spl0_14),
% 3.01/1.02 inference(split_clause,[status(thm)],[f562,f559,f524,f532])).
% 3.01/1.02 fof(f565,plain,(
% 3.01/1.02 spl0_16 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f568,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f517,f479])).
% 3.01/1.02 fof(f569,plain,(
% 3.01/1.02 spl0_16|~spl0_12|~spl0_11),
% 3.01/1.02 inference(split_clause,[status(thm)],[f568,f565,f524,f521])).
% 3.01/1.02 fof(f576,plain,(
% 3.01/1.02 spl0_17 <=> nil=nil),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f579,plain,(
% 3.01/1.02 ~ssList(nil)|nil=nil|~ssList(nil)),
% 3.01/1.02 inference(resolution,[status(thm)],[f326,f323])).
% 3.01/1.02 fof(f580,plain,(
% 3.01/1.02 ~spl0_12|spl0_17),
% 3.01/1.02 inference(split_clause,[status(thm)],[f579,f524,f576])).
% 3.01/1.02 fof(f593,plain,(
% 3.01/1.02 nil=sk0_48|~spl0_7),
% 3.01/1.02 inference(resolution,[status(thm)],[f463,f434])).
% 3.01/1.02 fof(f594,plain,(
% 3.01/1.02 $false|spl0_1|~spl0_7),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f593,f504])).
% 3.01/1.02 fof(f595,plain,(
% 3.01/1.02 spl0_1|~spl0_7),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f594])).
% 3.01/1.02 fof(f596,plain,(
% 3.01/1.02 $false|spl0_3|~spl0_8),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f466,f505])).
% 3.01/1.02 fof(f597,plain,(
% 3.01/1.02 spl0_3|~spl0_8),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f596])).
% 3.01/1.02 fof(f598,plain,(
% 3.01/1.02 nil=sk0_47|~spl0_0),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f425,f437])).
% 3.01/1.02 fof(f599,plain,(
% 3.01/1.02 app(cons(sk0_51,nil),sk0_52)=sk0_48|~spl0_5),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f424,f455])).
% 3.01/1.02 fof(f600,plain,(
% 3.01/1.02 app(sk0_52,cons(sk0_51,nil))=sk0_47|~spl0_6),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f425,f459])).
% 3.01/1.02 fof(f602,plain,(
% 3.01/1.02 neq(sk0_48,nil)|~spl0_3),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f424,f447])).
% 3.01/1.02 fof(f603,plain,(
% 3.01/1.02 pd0_0(sk0_48,nil)|~spl0_0|~spl0_7),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f598,f463])).
% 3.01/1.02 fof(f604,plain,(
% 3.01/1.02 $false|~spl0_0|~spl0_7),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f603,f503])).
% 3.01/1.02 fof(f605,plain,(
% 3.01/1.02 ~spl0_0|~spl0_7),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f604])).
% 3.01/1.02 fof(f608,plain,(
% 3.01/1.02 geq(sk0_51,sk0_51)|~spl0_2),
% 3.01/1.02 inference(resolution,[status(thm)],[f444,f399])).
% 3.01/1.02 fof(f610,plain,(
% 3.01/1.02 ![X0]: (~ssItem(X0)|neq(X0,sk0_51)|X0=sk0_51|~spl0_2)),
% 3.01/1.02 inference(resolution,[status(thm)],[f444,f101])).
% 3.01/1.02 fof(f611,plain,(
% 3.01/1.02 ~neq(sk0_51,sk0_51)|~spl0_2),
% 3.01/1.02 inference(resolution,[status(thm)],[f444,f474])).
% 3.01/1.02 fof(f614,plain,(
% 3.01/1.02 app(sk0_52,nil)=sk0_52|~spl0_4),
% 3.01/1.02 inference(resolution,[status(thm)],[f451,f389])).
% 3.01/1.02 fof(f615,plain,(
% 3.01/1.02 app(nil,sk0_52)=sk0_52|~spl0_4),
% 3.01/1.02 inference(resolution,[status(thm)],[f451,f249])).
% 3.01/1.02 fof(f617,plain,(
% 3.01/1.02 ~neq(sk0_52,sk0_52)|~spl0_4),
% 3.01/1.02 inference(resolution,[status(thm)],[f451,f489])).
% 3.01/1.02 fof(f618,plain,(
% 3.01/1.02 spl0_18 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(cons(sk0_51,nil),sk0_52),X0),sk0_52)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f619,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(cons(sk0_51,nil),sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_18)),
% 3.01/1.02 inference(component_clause,[status(thm)],[f618])).
% 3.01/1.02 fof(f621,plain,(
% 3.01/1.02 spl0_19 <=> ssList(cons(sk0_51,nil))),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f622,plain,(
% 3.01/1.02 ssList(cons(sk0_51,nil))|~spl0_19),
% 3.01/1.02 inference(component_clause,[status(thm)],[f621])).
% 3.01/1.02 fof(f623,plain,(
% 3.01/1.02 ~ssList(cons(sk0_51,nil))|spl0_19),
% 3.01/1.02 inference(component_clause,[status(thm)],[f621])).
% 3.01/1.02 fof(f624,plain,(
% 3.01/1.02 ![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)),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f599,f479])).
% 3.01/1.02 fof(f625,plain,(
% 3.01/1.02 spl0_18|~spl0_4|~spl0_19|~spl0_5),
% 3.01/1.02 inference(split_clause,[status(thm)],[f624,f618,f450,f621,f454])).
% 3.01/1.02 fof(f626,plain,(
% 3.01/1.02 app(sk0_47,nil)=nil|~spl0_0),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f598,f517])).
% 3.01/1.02 fof(f627,plain,(
% 3.01/1.02 sk0_47=nil|~spl0_0),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f517,f626])).
% 3.01/1.02 fof(f642,plain,(
% 3.01/1.02 ~neq(sk0_47,nil)|~spl0_0),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f598,f511])).
% 3.01/1.02 fof(f643,plain,(
% 3.01/1.02 ~neq(nil,nil)|~spl0_0),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f627,f642])).
% 3.01/1.02 fof(f669,plain,(
% 3.01/1.02 spl0_20 <=> ~ssList(app(sk0_52,X0))|segmentP(app(app(sk0_52,nil),X0),nil)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f672,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_52,X0))|~ssList(nil)|segmentP(app(app(sk0_52,nil),X0),nil)|~ssList(sk0_52)|~ssList(X0)|~spl0_4)),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f614,f479])).
% 3.01/1.02 fof(f673,plain,(
% 3.01/1.02 spl0_20|~spl0_12|~spl0_4),
% 3.01/1.02 inference(split_clause,[status(thm)],[f672,f669,f524,f450])).
% 3.01/1.02 fof(f675,plain,(
% 3.01/1.02 spl0_21 <=> ~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f676,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(X0)|~spl0_21)),
% 3.01/1.02 inference(component_clause,[status(thm)],[f675])).
% 3.01/1.02 fof(f678,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_52,X0))|~ssList(sk0_52)|segmentP(app(app(nil,sk0_52),X0),sk0_52)|~ssList(nil)|~ssList(X0)|~spl0_4)),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f615,f479])).
% 3.01/1.02 fof(f679,plain,(
% 3.01/1.02 spl0_21|~spl0_4|~spl0_12),
% 3.01/1.02 inference(split_clause,[status(thm)],[f678,f675,f450,f524])).
% 3.01/1.02 fof(f680,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_52,X0))|segmentP(app(sk0_52,X0),sk0_52)|~ssList(X0)|~spl0_4|~spl0_21)),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f615,f676])).
% 3.01/1.02 fof(f686,plain,(
% 3.01/1.02 spl0_23 <=> neq(nil,nil)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f703,plain,(
% 3.01/1.02 nil=sk0_48|~spl0_1),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f424,f440])).
% 3.01/1.02 fof(f706,plain,(
% 3.01/1.02 neq(nil,nil)|~spl0_1|~spl0_3),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f703,f602])).
% 3.01/1.02 fof(f707,plain,(
% 3.01/1.02 $false|~spl0_0|~spl0_1|~spl0_3),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f706,f643])).
% 3.01/1.02 fof(f708,plain,(
% 3.01/1.02 ~spl0_0|~spl0_1|~spl0_3),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f707])).
% 3.01/1.02 fof(f711,plain,(
% 3.01/1.02 spl0_26 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_52,cons(sk0_51,nil)),X0),cons(sk0_51,nil))|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f714,plain,(
% 3.01/1.02 ![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)),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f600,f479])).
% 3.01/1.02 fof(f715,plain,(
% 3.01/1.02 spl0_26|~spl0_19|~spl0_4|~spl0_6),
% 3.01/1.02 inference(split_clause,[status(thm)],[f714,f711,f621,f450,f458])).
% 3.01/1.02 fof(f716,plain,(
% 3.01/1.02 spl0_27 <=> sk0_51=sk0_51),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f719,plain,(
% 3.01/1.02 ~ssItem(sk0_51)|sk0_51=sk0_51|~spl0_2),
% 3.01/1.02 inference(resolution,[status(thm)],[f611,f610])).
% 3.01/1.02 fof(f720,plain,(
% 3.01/1.02 ~spl0_2|spl0_27),
% 3.01/1.02 inference(split_clause,[status(thm)],[f719,f443,f716])).
% 3.01/1.02 fof(f721,plain,(
% 3.01/1.02 spl0_28 <=> segmentP(sk0_47,nil)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f723,plain,(
% 3.01/1.02 ~segmentP(sk0_47,nil)|spl0_28),
% 3.01/1.02 inference(component_clause,[status(thm)],[f721])).
% 3.01/1.02 fof(f724,plain,(
% 3.01/1.02 ~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_47,nil)|~ssList(sk0_48)|~spl0_9),
% 3.01/1.02 inference(resolution,[status(thm)],[f470,f323])).
% 3.01/1.02 fof(f725,plain,(
% 3.01/1.02 ~spl0_12|~spl0_23|~spl0_28|~spl0_14|~spl0_9),
% 3.01/1.02 inference(split_clause,[status(thm)],[f724,f524,f686,f721,f532,f469])).
% 3.01/1.02 fof(f728,plain,(
% 3.01/1.02 ~ssList(sk0_47)|spl0_28),
% 3.01/1.02 inference(resolution,[status(thm)],[f723,f323])).
% 3.01/1.02 fof(f729,plain,(
% 3.01/1.02 ~spl0_11|spl0_28),
% 3.01/1.02 inference(split_clause,[status(thm)],[f728,f521,f721])).
% 3.01/1.02 fof(f732,plain,(
% 3.01/1.02 spl0_29 <=> ssList(app(sk0_52,cons(sk0_51,nil)))),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f734,plain,(
% 3.01/1.02 ~ssList(app(sk0_52,cons(sk0_51,nil)))|spl0_29),
% 3.01/1.02 inference(component_clause,[status(thm)],[f732])).
% 3.01/1.02 fof(f735,plain,(
% 3.01/1.02 spl0_30 <=> segmentP(sk0_47,sk0_52)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f736,plain,(
% 3.01/1.02 segmentP(sk0_47,sk0_52)|~spl0_30),
% 3.01/1.02 inference(component_clause,[status(thm)],[f735])).
% 3.01/1.02 fof(f738,plain,(
% 3.01/1.02 ~ssList(app(sk0_52,cons(sk0_51,nil)))|segmentP(sk0_47,sk0_52)|~ssList(cons(sk0_51,nil))|~spl0_4|~spl0_21|~spl0_6),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f600,f680])).
% 3.01/1.02 fof(f739,plain,(
% 3.01/1.02 ~spl0_29|spl0_30|~spl0_19|~spl0_4|~spl0_21|~spl0_6),
% 3.01/1.02 inference(split_clause,[status(thm)],[f738,f732,f735,f621,f450,f675,f458])).
% 3.01/1.02 fof(f740,plain,(
% 3.01/1.02 spl0_31 <=> ssList(app(sk0_52,nil))),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f742,plain,(
% 3.01/1.02 ~ssList(app(sk0_52,nil))|spl0_31),
% 3.01/1.02 inference(component_clause,[status(thm)],[f740])).
% 3.01/1.02 fof(f743,plain,(
% 3.01/1.02 spl0_32 <=> segmentP(sk0_52,sk0_52)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f746,plain,(
% 3.01/1.02 ~ssList(app(sk0_52,nil))|segmentP(sk0_52,sk0_52)|~ssList(nil)|~spl0_21|~spl0_4),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f614,f680])).
% 3.01/1.02 fof(f747,plain,(
% 3.01/1.02 ~spl0_31|spl0_32|~spl0_12|~spl0_21|~spl0_4),
% 3.01/1.02 inference(split_clause,[status(thm)],[f746,f740,f743,f524,f675,f450])).
% 3.01/1.02 fof(f748,plain,(
% 3.01/1.02 ~ssList(sk0_52)|~spl0_4|spl0_31),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f614,f742])).
% 3.01/1.02 fof(f749,plain,(
% 3.01/1.02 $false|~spl0_4|spl0_31),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f748,f451])).
% 3.01/1.02 fof(f750,plain,(
% 3.01/1.02 ~spl0_4|spl0_31),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f749])).
% 3.01/1.02 fof(f764,plain,(
% 3.01/1.02 spl0_33 <=> segmentP(sk0_47,sk0_48)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f766,plain,(
% 3.01/1.02 ~segmentP(sk0_47,sk0_48)|spl0_33),
% 3.01/1.02 inference(component_clause,[status(thm)],[f764])).
% 3.01/1.02 fof(f767,plain,(
% 3.01/1.02 ~ssList(sk0_48)|~neq(sk0_48,nil)|~segmentP(sk0_47,sk0_48)|~spl0_9),
% 3.01/1.02 inference(resolution,[status(thm)],[f512,f470])).
% 3.01/1.02 fof(f768,plain,(
% 3.01/1.02 ~spl0_14|~spl0_8|~spl0_33|~spl0_9),
% 3.01/1.02 inference(split_clause,[status(thm)],[f767,f532,f465,f764,f469])).
% 3.01/1.02 fof(f769,plain,(
% 3.01/1.02 spl0_34 <=> ssList(app(sk0_48,nil))),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f771,plain,(
% 3.01/1.02 ~ssList(app(sk0_48,nil))|spl0_34),
% 3.01/1.02 inference(component_clause,[status(thm)],[f769])).
% 3.01/1.02 fof(f772,plain,(
% 3.01/1.02 spl0_35 <=> segmentP(sk0_48,sk0_48)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f775,plain,(
% 3.01/1.02 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_13),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f516,f543])).
% 3.01/1.02 fof(f776,plain,(
% 3.01/1.02 ~spl0_34|spl0_35|~spl0_12|~spl0_13),
% 3.01/1.02 inference(split_clause,[status(thm)],[f775,f769,f772,f524,f529])).
% 3.01/1.02 fof(f779,plain,(
% 3.01/1.02 ~ssList(sk0_48)|spl0_34),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f516,f771])).
% 3.01/1.02 fof(f780,plain,(
% 3.01/1.02 $false|spl0_34),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f779,f421])).
% 3.01/1.02 fof(f781,plain,(
% 3.01/1.02 spl0_34),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f780])).
% 3.01/1.02 fof(f786,plain,(
% 3.01/1.02 spl0_37 <=> segmentP(sk0_48,sk0_47)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f788,plain,(
% 3.01/1.02 ~segmentP(sk0_48,sk0_47)|spl0_37),
% 3.01/1.02 inference(component_clause,[status(thm)],[f786])).
% 3.01/1.02 fof(f799,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|neq(X0,sk0_52)|X0=sk0_52|~spl0_4)),
% 3.01/1.02 inference(resolution,[status(thm)],[f220,f451])).
% 3.01/1.02 fof(f802,plain,(
% 3.01/1.02 ~ssList(nil)|~ssItem(sk0_51)|spl0_19),
% 3.01/1.02 inference(resolution,[status(thm)],[f222,f623])).
% 3.01/1.02 fof(f803,plain,(
% 3.01/1.02 ~spl0_12|~spl0_2|spl0_19),
% 3.01/1.02 inference(split_clause,[status(thm)],[f802,f524,f443,f621])).
% 3.01/1.02 fof(f811,plain,(
% 3.01/1.02 ~ssList(sk0_47)|~spl0_6|spl0_29),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f600,f734])).
% 3.01/1.02 fof(f812,plain,(
% 3.01/1.02 $false|~spl0_6|spl0_29),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f811,f420])).
% 3.01/1.02 fof(f813,plain,(
% 3.01/1.02 ~spl0_6|spl0_29),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f812])).
% 3.01/1.02 fof(f814,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)|~spl0_5|~spl0_18)),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f599,f619])).
% 3.01/1.02 fof(f817,plain,(
% 3.01/1.02 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 3.01/1.02 inference(resolution,[status(thm)],[f223,f220])).
% 3.01/1.02 fof(f820,plain,(
% 3.01/1.02 app(nil,nil)=nil),
% 3.01/1.02 inference(resolution,[status(thm)],[f223,f389])).
% 3.01/1.02 fof(f832,plain,(
% 3.01/1.02 spl0_38 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f835,plain,(
% 3.01/1.02 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f820,f479])).
% 3.01/1.02 fof(f836,plain,(
% 3.01/1.02 spl0_38|~spl0_12),
% 3.01/1.02 inference(split_clause,[status(thm)],[f835,f832,f524])).
% 3.01/1.02 fof(f909,plain,(
% 3.01/1.02 ![X0]: (~ssItem(X0)|~geq(X0,sk0_51)|leq(sk0_51,X0)|~spl0_2)),
% 3.01/1.02 inference(resolution,[status(thm)],[f258,f444])).
% 3.01/1.02 fof(f928,plain,(
% 3.01/1.02 spl0_39 <=> memberP(app(sk0_52,cons(sk0_51,nil)),sk0_51)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f931,plain,(
% 3.01/1.02 ~ssList(sk0_47)|~ssItem(sk0_51)|memberP(app(sk0_52,cons(sk0_51,nil)),sk0_51)|~ssList(sk0_52)|~ssList(nil)|~spl0_6),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f600,f475])).
% 3.01/1.02 fof(f932,plain,(
% 3.01/1.02 ~spl0_11|~spl0_2|spl0_39|~spl0_4|~spl0_12|~spl0_6),
% 3.01/1.02 inference(split_clause,[status(thm)],[f931,f521,f443,f928,f450,f524,f458])).
% 3.01/1.02 fof(f936,plain,(
% 3.01/1.02 spl0_40 <=> neq(sk0_52,nil)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f938,plain,(
% 3.01/1.02 ~neq(sk0_52,nil)|spl0_40),
% 3.01/1.02 inference(component_clause,[status(thm)],[f936])).
% 3.01/1.02 fof(f939,plain,(
% 3.01/1.02 spl0_41 <=> segmentP(sk0_48,sk0_52)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f942,plain,(
% 3.01/1.02 ~ssList(sk0_52)|~neq(sk0_52,nil)|~segmentP(sk0_48,sk0_52)|~spl0_30|~spl0_9),
% 3.01/1.02 inference(resolution,[status(thm)],[f736,f470])).
% 3.01/1.02 fof(f943,plain,(
% 3.01/1.02 ~spl0_4|~spl0_40|~spl0_41|~spl0_30|~spl0_9),
% 3.01/1.02 inference(split_clause,[status(thm)],[f942,f450,f936,f939,f735,f469])).
% 3.01/1.02 fof(f944,plain,(
% 3.01/1.02 spl0_42 <=> sk0_52=sk0_52),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f947,plain,(
% 3.01/1.02 ~ssList(sk0_52)|sk0_52=sk0_52|~spl0_4),
% 3.01/1.02 inference(resolution,[status(thm)],[f799,f617])).
% 3.01/1.02 fof(f948,plain,(
% 3.01/1.02 ~spl0_4|spl0_42),
% 3.01/1.02 inference(split_clause,[status(thm)],[f947,f450,f944])).
% 3.01/1.02 fof(f949,plain,(
% 3.01/1.02 spl0_43 <=> leq(sk0_51,sk0_51)),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f952,plain,(
% 3.01/1.02 ~ssItem(sk0_51)|leq(sk0_51,sk0_51)|~spl0_2),
% 3.01/1.02 inference(resolution,[status(thm)],[f909,f608])).
% 3.01/1.02 fof(f953,plain,(
% 3.01/1.02 ~spl0_2|spl0_43),
% 3.01/1.02 inference(split_clause,[status(thm)],[f952,f443,f949])).
% 3.01/1.02 fof(f954,plain,(
% 3.01/1.02 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_52)|~ssList(nil)|~spl0_5|~spl0_18),
% 3.01/1.02 inference(paramodulation,[status(thm)],[f516,f814])).
% 3.01/1.02 fof(f955,plain,(
% 3.01/1.02 ~spl0_34|spl0_41|~spl0_12|~spl0_5|~spl0_18),
% 3.01/1.02 inference(split_clause,[status(thm)],[f954,f769,f939,f524,f454,f618])).
% 3.01/1.02 fof(f965,plain,(
% 3.01/1.02 spl0_45 <=> sk0_52=nil),
% 3.01/1.02 introduced(split_symbol_definition)).
% 3.01/1.02 fof(f966,plain,(
% 3.01/1.02 sk0_52=nil|~spl0_45),
% 3.01/1.02 inference(component_clause,[status(thm)],[f965])).
% 3.01/1.02 fof(f968,plain,(
% 3.01/1.02 ~ssList(sk0_52)|sk0_52=nil|spl0_40),
% 3.01/1.02 inference(resolution,[status(thm)],[f938,f817])).
% 3.01/1.02 fof(f969,plain,(
% 3.01/1.02 ~spl0_4|spl0_45|spl0_40),
% 3.01/1.02 inference(split_clause,[status(thm)],[f968,f450,f965,f936])).
% 3.01/1.02 fof(f982,plain,(
% 3.01/1.02 app(nil,cons(sk0_51,nil))=sk0_47|~spl0_45|~spl0_6),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f966,f600])).
% 3.01/1.02 fof(f983,plain,(
% 3.01/1.02 app(cons(sk0_51,nil),nil)=sk0_48|~spl0_45|~spl0_5),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f966,f599])).
% 3.01/1.02 fof(f1017,plain,(
% 3.01/1.02 app(cons(sk0_51,nil),nil)=cons(sk0_51,nil)|~spl0_19),
% 3.01/1.02 inference(resolution,[status(thm)],[f622,f389])).
% 3.01/1.02 fof(f1018,plain,(
% 3.01/1.02 sk0_48=cons(sk0_51,nil)|~spl0_45|~spl0_5|~spl0_19),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f983,f1017])).
% 3.01/1.02 fof(f1019,plain,(
% 3.01/1.02 app(nil,cons(sk0_51,nil))=cons(sk0_51,nil)|~spl0_19),
% 3.01/1.02 inference(resolution,[status(thm)],[f622,f249])).
% 3.01/1.02 fof(f1020,plain,(
% 3.01/1.02 sk0_47=cons(sk0_51,nil)|~spl0_45|~spl0_6|~spl0_19),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f982,f1019])).
% 3.01/1.02 fof(f1021,plain,(
% 3.01/1.02 sk0_47=sk0_48|~spl0_5|~spl0_45|~spl0_6|~spl0_19),
% 3.01/1.02 inference(forward_demodulation,[status(thm)],[f1018,f1020])).
% 3.01/1.02 fof(f1074,plain,(
% 3.01/1.02 ~segmentP(sk0_47,sk0_47)|~spl0_5|~spl0_45|~spl0_6|~spl0_19|spl0_37),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f1021,f788])).
% 3.01/1.02 fof(f1075,plain,(
% 3.01/1.02 $false|~spl0_5|~spl0_45|~spl0_6|~spl0_19|spl0_37),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1074,f513])).
% 3.01/1.02 fof(f1076,plain,(
% 3.01/1.02 ~spl0_5|~spl0_45|~spl0_6|~spl0_19|spl0_37),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f1075])).
% 3.01/1.02 fof(f1077,plain,(
% 3.01/1.02 ~segmentP(sk0_47,sk0_47)|~spl0_5|~spl0_45|~spl0_6|~spl0_19|spl0_33),
% 3.01/1.02 inference(backward_demodulation,[status(thm)],[f1021,f766])).
% 3.01/1.02 fof(f1078,plain,(
% 3.01/1.02 $false|~spl0_5|~spl0_45|~spl0_6|~spl0_19|spl0_33),
% 3.01/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1077,f513])).
% 3.01/1.02 fof(f1079,plain,(
% 3.01/1.02 ~spl0_5|~spl0_45|~spl0_6|~spl0_19|spl0_33),
% 3.01/1.02 inference(contradiction_clause,[status(thm)],[f1078])).
% 3.01/1.02 fof(f1080,plain,(
% 3.01/1.02 $false),
% 3.01/1.02 inference(sat_refutation,[status(thm)],[f442,f449,f453,f457,f461,f468,f472,f528,f536,f538,f540,f542,f563,f569,f580,f595,f597,f605,f625,f673,f679,f708,f715,f720,f725,f729,f739,f747,f750,f768,f776,f781,f803,f813,f836,f932,f943,f948,f953,f955,f969,f1076,f1079])).
% 3.01/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 3.61/1.06 % Elapsed time: 0.704487 seconds
% 3.61/1.06 % CPU time: 3.647476 seconds
% 3.61/1.06 % Memory used: 83.997 MB
%------------------------------------------------------------------------------