TSTP Solution File: SWC070+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC070+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:44:24 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC070+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:11:16 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f15,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f17,axiom,(
% 0.14/0.38 ssList(nil) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f28,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f40,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( frontsegP(U,V)& frontsegP(V,W) )=> frontsegP(U,W) ) ) )) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f41,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( frontsegP(U,V)& frontsegP(V,U) )=> U = V ) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f42,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f45,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f55,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f57,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f84,axiom,(
% 0.14/0.38 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f96,conjecture,(
% 0.14/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f97,negated_conjecture,(
% 0.14/0.38 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil = V& nil = U )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f98])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f2])).
% 0.14/0.38 fof(f103,plain,(
% 0.14/0.38 ssItem(sk0_0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 ssItem(sk0_1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 ~sk0_0=sk0_1),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.38 fof(f119,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.38 fof(f120,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.39 inference(NNF_transformation,[status(esa)],[f119])).
% 0.14/0.39 fof(f121,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.39 inference(skolemization,[status(esa)],[f120])).
% 0.14/0.39 fof(f122,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.39 fof(f123,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.39 fof(f124,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.39 fof(f131,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.14/0.39 inference(NNF_transformation,[status(esa)],[f131])).
% 0.14/0.39 fof(f133,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.14/0.39 inference(skolemization,[status(esa)],[f132])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f133])).
% 0.14/0.39 fof(f217,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.39 fof(f218,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.39 inference(NNF_transformation,[status(esa)],[f217])).
% 0.14/0.39 fof(f219,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.39 fof(f220,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.39 fof(f223,plain,(
% 0.14/0.39 ssList(nil)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.39 fof(f248,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.14/0.39 fof(f249,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f248])).
% 0.14/0.39 fof(f281,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~frontsegP(U,V)|~frontsegP(V,W))|frontsegP(U,W)))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.14/0.39 fof(f282,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|frontsegP(X0,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f281])).
% 0.14/0.39 fof(f283,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|~frontsegP(V,U))|U=V))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.14/0.39 fof(f284,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,X0)|X0=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f283])).
% 0.14/0.39 fof(f285,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.14/0.39 fof(f286,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f285])).
% 0.14/0.39 fof(f294,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.14/0.39 fof(f295,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f294])).
% 0.14/0.39 fof(f318,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.14/0.39 fof(f319,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f318])).
% 0.14/0.39 fof(f322,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.14/0.39 fof(f323,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f322])).
% 0.14/0.39 fof(f388,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.14/0.39 fof(f389,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f388])).
% 0.14/0.39 fof(f415,plain,(
% 0.14/0.39 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(~nil=V|~nil=U))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.39 fof(f416,plain,(
% 0.14/0.39 ![W,X]: (pd0_0(X,W)=>(nil=X&nil=W))),
% 0.14/0.39 introduced(predicate_definition,[f415])).
% 0.14/0.39 fof(f417,plain,(
% 0.14/0.39 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(~nil=V|~nil=U))&(pd0_0(X,W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.14/0.39 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.39 fof(f418,plain,(
% 0.14/0.39 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))&(~nil=sk0_48|~nil=sk0_47))&(pd0_0(sk0_50,sk0_49)|(neq(sk0_49,nil)&frontsegP(sk0_50,sk0_49))))))))),
% 0.14/0.39 inference(skolemization,[status(esa)],[f417])).
% 0.14/0.39 fof(f419,plain,(
% 0.14/0.39 ssList(sk0_47)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f420,plain,(
% 0.14/0.39 ssList(sk0_48)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f423,plain,(
% 0.14/0.39 sk0_48=sk0_50),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f424,plain,(
% 0.14/0.39 sk0_47=sk0_49),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f425,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f426,plain,(
% 0.14/0.39 ~nil=sk0_48|~nil=sk0_47),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f427,plain,(
% 0.14/0.39 pd0_0(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f428,plain,(
% 0.14/0.39 pd0_0(sk0_50,sk0_49)|frontsegP(sk0_50,sk0_49)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f418])).
% 0.14/0.39 fof(f429,plain,(
% 0.14/0.39 ![W,X]: (~pd0_0(X,W)|(nil=X&nil=W))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.14/0.39 fof(f430,plain,(
% 0.14/0.39 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.39 fof(f431,plain,(
% 0.14/0.39 ![X0,X1]: (~pd0_0(X0,X1)|nil=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(esa)],[f429])).
% 0.14/0.39 fof(f432,plain,(
% 0.14/0.39 spl0_0 <=> nil=sk0_48),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f433,plain,(
% 0.14/0.39 nil=sk0_48|~spl0_0),
% 0.14/0.39 inference(component_clause,[status(thm)],[f432])).
% 0.14/0.39 fof(f434,plain,(
% 0.14/0.39 ~nil=sk0_48|spl0_0),
% 0.14/0.39 inference(component_clause,[status(thm)],[f432])).
% 0.14/0.39 fof(f435,plain,(
% 0.14/0.39 spl0_1 <=> nil=sk0_47),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f436,plain,(
% 0.14/0.39 nil=sk0_47|~spl0_1),
% 0.14/0.39 inference(component_clause,[status(thm)],[f435])).
% 0.14/0.39 fof(f437,plain,(
% 0.14/0.39 ~nil=sk0_47|spl0_1),
% 0.14/0.39 inference(component_clause,[status(thm)],[f435])).
% 0.14/0.39 fof(f438,plain,(
% 0.14/0.39 ~spl0_0|~spl0_1),
% 0.14/0.39 inference(split_clause,[status(thm)],[f426,f432,f435])).
% 0.14/0.39 fof(f439,plain,(
% 0.14/0.39 spl0_2 <=> pd0_0(sk0_50,sk0_49)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f440,plain,(
% 0.14/0.39 pd0_0(sk0_50,sk0_49)|~spl0_2),
% 0.14/0.39 inference(component_clause,[status(thm)],[f439])).
% 0.14/0.39 fof(f442,plain,(
% 0.14/0.39 spl0_3 <=> neq(sk0_49,nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f443,plain,(
% 0.14/0.39 neq(sk0_49,nil)|~spl0_3),
% 0.14/0.39 inference(component_clause,[status(thm)],[f442])).
% 0.14/0.39 fof(f445,plain,(
% 0.14/0.39 spl0_2|spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f427,f439,f442])).
% 0.14/0.39 fof(f446,plain,(
% 0.14/0.39 spl0_4 <=> frontsegP(sk0_50,sk0_49)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f447,plain,(
% 0.14/0.39 frontsegP(sk0_50,sk0_49)|~spl0_4),
% 0.14/0.39 inference(component_clause,[status(thm)],[f446])).
% 0.14/0.39 fof(f449,plain,(
% 0.14/0.39 spl0_2|spl0_4),
% 0.14/0.39 inference(split_clause,[status(thm)],[f428,f439,f446])).
% 0.14/0.39 fof(f450,plain,(
% 0.14/0.39 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.14/0.39 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.14/0.39 fof(f451,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.14/0.39 inference(duplicate_literals_removal,[status(esa)],[f450])).
% 0.14/0.39 fof(f454,plain,(
% 0.14/0.39 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.14/0.39 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.14/0.39 fof(f456,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.14/0.39 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.14/0.39 fof(f465,plain,(
% 0.14/0.39 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.14/0.39 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.14/0.39 fof(f466,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.14/0.39 inference(duplicate_literals_removal,[status(esa)],[f465])).
% 0.14/0.39 fof(f482,plain,(
% 0.14/0.39 frontsegP(nil,nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f286,f223])).
% 0.14/0.39 fof(f483,plain,(
% 0.14/0.39 frontsegP(sk0_48,sk0_48)),
% 0.14/0.39 inference(resolution,[status(thm)],[f286,f420])).
% 0.14/0.39 fof(f484,plain,(
% 0.14/0.39 frontsegP(sk0_47,sk0_47)),
% 0.14/0.39 inference(resolution,[status(thm)],[f286,f419])).
% 0.14/0.39 fof(f487,plain,(
% 0.14/0.39 segmentP(sk0_47,sk0_47)),
% 0.14/0.39 inference(resolution,[status(thm)],[f319,f419])).
% 0.14/0.39 fof(f488,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|neq(sk0_0,X0)|sk0_0=X0)),
% 0.14/0.39 inference(resolution,[status(thm)],[f103,f101])).
% 0.14/0.39 fof(f489,plain,(
% 0.14/0.39 ![X0]: (~ssItem(X0)|neq(sk0_1,X0)|sk0_1=X0)),
% 0.14/0.39 inference(resolution,[status(thm)],[f104,f101])).
% 0.14/0.39 fof(f492,plain,(
% 0.14/0.39 pd0_0(sk0_48,sk0_49)|~spl0_2),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f423,f440])).
% 0.14/0.39 fof(f493,plain,(
% 0.14/0.39 pd0_0(sk0_48,sk0_47)|~spl0_2),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f424,f492])).
% 0.14/0.39 fof(f494,plain,(
% 0.14/0.39 nil=sk0_48|~spl0_2),
% 0.14/0.39 inference(resolution,[status(thm)],[f430,f493])).
% 0.14/0.39 fof(f495,plain,(
% 0.14/0.39 $false|spl0_0|~spl0_2),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f494,f434])).
% 0.14/0.39 fof(f496,plain,(
% 0.14/0.39 spl0_0|~spl0_2),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f495])).
% 0.14/0.39 fof(f497,plain,(
% 0.14/0.39 neq(sk0_47,nil)|~spl0_3),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f424,f443])).
% 0.14/0.39 fof(f498,plain,(
% 0.14/0.39 frontsegP(sk0_48,sk0_49)|~spl0_4),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f423,f447])).
% 0.14/0.39 fof(f499,plain,(
% 0.14/0.39 frontsegP(sk0_48,sk0_47)|~spl0_4),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f424,f498])).
% 0.14/0.39 fof(f502,plain,(
% 0.14/0.39 spl0_5 <=> ssList(sk0_48)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f504,plain,(
% 0.14/0.39 ~ssList(sk0_48)|spl0_5),
% 0.14/0.39 inference(component_clause,[status(thm)],[f502])).
% 0.14/0.39 fof(f521,plain,(
% 0.14/0.39 pd0_0(nil,sk0_47)|~spl0_2),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f494,f493])).
% 0.14/0.39 fof(f522,plain,(
% 0.14/0.39 nil=sk0_47|~spl0_2),
% 0.14/0.39 inference(resolution,[status(thm)],[f521,f431])).
% 0.14/0.39 fof(f523,plain,(
% 0.14/0.39 $false|spl0_1|~spl0_2),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f522,f437])).
% 0.14/0.39 fof(f524,plain,(
% 0.14/0.39 spl0_1|~spl0_2),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f523])).
% 0.14/0.39 fof(f531,plain,(
% 0.14/0.39 neq(nil,nil)|~spl0_1|~spl0_3),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f497])).
% 0.14/0.39 fof(f532,plain,(
% 0.14/0.39 ~ssList(nil)|~spl0_1|~spl0_3),
% 0.14/0.39 inference(resolution,[status(thm)],[f531,f466])).
% 0.14/0.39 fof(f533,plain,(
% 0.14/0.39 $false|~spl0_1|~spl0_3),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f532,f223])).
% 0.14/0.39 fof(f534,plain,(
% 0.14/0.39 ~spl0_1|~spl0_3),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f533])).
% 0.14/0.39 fof(f541,plain,(
% 0.14/0.39 frontsegP(sk0_47,nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f295,f419])).
% 0.14/0.39 fof(f542,plain,(
% 0.14/0.39 frontsegP(sk0_48,nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f295,f420])).
% 0.14/0.39 fof(f544,plain,(
% 0.14/0.39 segmentP(sk0_47,nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f323,f419])).
% 0.14/0.39 fof(f545,plain,(
% 0.14/0.39 segmentP(sk0_48,nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f323,f420])).
% 0.14/0.39 fof(f547,plain,(
% 0.14/0.39 spl0_8 <=> ssList(nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f549,plain,(
% 0.14/0.39 ~ssList(nil)|spl0_8),
% 0.14/0.39 inference(component_clause,[status(thm)],[f547])).
% 0.14/0.39 fof(f550,plain,(
% 0.14/0.39 spl0_9 <=> neq(nil,nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f553,plain,(
% 0.14/0.39 spl0_10 <=> segmentP(sk0_47,nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f555,plain,(
% 0.14/0.39 ~segmentP(sk0_47,nil)|spl0_10),
% 0.14/0.39 inference(component_clause,[status(thm)],[f553])).
% 0.14/0.39 fof(f556,plain,(
% 0.14/0.39 ~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_47,nil)),
% 0.14/0.39 inference(resolution,[status(thm)],[f545,f425])).
% 0.14/0.39 fof(f557,plain,(
% 0.14/0.39 ~spl0_8|~spl0_9|~spl0_10),
% 0.14/0.39 inference(split_clause,[status(thm)],[f556,f547,f550,f553])).
% 0.14/0.39 fof(f558,plain,(
% 0.14/0.39 $false|spl0_10),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f555,f544])).
% 0.14/0.39 fof(f559,plain,(
% 0.14/0.39 spl0_10),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f558])).
% 0.14/0.39 fof(f560,plain,(
% 0.14/0.39 $false|spl0_8),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f549,f223])).
% 0.14/0.39 fof(f561,plain,(
% 0.14/0.39 spl0_8),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f560])).
% 0.14/0.39 fof(f562,plain,(
% 0.14/0.39 spl0_11 <=> nil=nil),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f569,plain,(
% 0.14/0.39 spl0_12 <=> neq(sk0_0,sk0_1)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f572,plain,(
% 0.14/0.39 spl0_13 <=> sk0_0=sk0_1),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f573,plain,(
% 0.14/0.39 sk0_0=sk0_1|~spl0_13),
% 0.14/0.39 inference(component_clause,[status(thm)],[f572])).
% 0.14/0.39 fof(f575,plain,(
% 0.14/0.39 neq(sk0_0,sk0_1)|sk0_0=sk0_1),
% 0.14/0.39 inference(resolution,[status(thm)],[f488,f104])).
% 0.14/0.39 fof(f576,plain,(
% 0.14/0.39 spl0_12|spl0_13),
% 0.14/0.39 inference(split_clause,[status(thm)],[f575,f569,f572])).
% 0.14/0.39 fof(f577,plain,(
% 0.14/0.39 spl0_14 <=> neq(sk0_0,sk0_0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f578,plain,(
% 0.14/0.39 neq(sk0_0,sk0_0)|~spl0_14),
% 0.14/0.39 inference(component_clause,[status(thm)],[f577])).
% 0.14/0.39 fof(f580,plain,(
% 0.14/0.39 spl0_15 <=> sk0_0=sk0_0),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f583,plain,(
% 0.14/0.39 neq(sk0_0,sk0_0)|sk0_0=sk0_0),
% 0.14/0.39 inference(resolution,[status(thm)],[f488,f103])).
% 0.14/0.39 fof(f584,plain,(
% 0.14/0.39 spl0_14|spl0_15),
% 0.14/0.39 inference(split_clause,[status(thm)],[f583,f577,f580])).
% 0.14/0.39 fof(f585,plain,(
% 0.14/0.39 spl0_16 <=> neq(sk0_1,sk0_1)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f586,plain,(
% 0.14/0.39 neq(sk0_1,sk0_1)|~spl0_16),
% 0.14/0.39 inference(component_clause,[status(thm)],[f585])).
% 0.14/0.39 fof(f588,plain,(
% 0.14/0.39 spl0_17 <=> sk0_1=sk0_1),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f591,plain,(
% 0.14/0.39 neq(sk0_1,sk0_1)|sk0_1=sk0_1),
% 0.14/0.39 inference(resolution,[status(thm)],[f489,f104])).
% 0.14/0.39 fof(f592,plain,(
% 0.14/0.39 spl0_16|spl0_17),
% 0.14/0.39 inference(split_clause,[status(thm)],[f591,f585,f588])).
% 0.14/0.39 fof(f593,plain,(
% 0.14/0.39 spl0_18 <=> neq(sk0_1,sk0_0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f596,plain,(
% 0.14/0.39 neq(sk0_1,sk0_0)|sk0_1=sk0_0),
% 0.14/0.39 inference(resolution,[status(thm)],[f489,f103])).
% 0.14/0.39 fof(f597,plain,(
% 0.14/0.39 spl0_18|spl0_13),
% 0.14/0.39 inference(split_clause,[status(thm)],[f596,f593,f572])).
% 0.14/0.39 fof(f598,plain,(
% 0.14/0.39 $false|~spl0_13),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f573,f105])).
% 0.14/0.39 fof(f599,plain,(
% 0.14/0.39 ~spl0_13),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f598])).
% 0.14/0.39 fof(f600,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|neq(sk0_47,X0)|sk0_47=X0)),
% 0.14/0.39 inference(resolution,[status(thm)],[f220,f419])).
% 0.14/0.39 fof(f602,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|neq(nil,X0)|nil=X0)),
% 0.14/0.39 inference(resolution,[status(thm)],[f220,f223])).
% 0.14/0.39 fof(f606,plain,(
% 0.14/0.39 spl0_20 <=> sk0_47=sk0_47),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f619,plain,(
% 0.14/0.39 spl0_23 <=> neq(sk0_47,nil)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f622,plain,(
% 0.14/0.39 neq(sk0_47,nil)|sk0_47=nil),
% 0.14/0.39 inference(resolution,[status(thm)],[f600,f223])).
% 0.14/0.39 fof(f623,plain,(
% 0.14/0.39 spl0_23|spl0_1),
% 0.14/0.39 inference(split_clause,[status(thm)],[f622,f619,f435])).
% 0.14/0.39 fof(f632,plain,(
% 0.14/0.39 spl0_26 <=> sk0_48=sk0_48),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f649,plain,(
% 0.14/0.39 neq(nil,nil)|nil=nil),
% 0.14/0.39 inference(resolution,[status(thm)],[f602,f223])).
% 0.14/0.39 fof(f650,plain,(
% 0.14/0.39 spl0_9|spl0_11),
% 0.14/0.39 inference(split_clause,[status(thm)],[f649,f550,f562])).
% 0.14/0.39 fof(f651,plain,(
% 0.14/0.39 spl0_29 <=> ssList(sk0_47)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f653,plain,(
% 0.14/0.39 ~ssList(sk0_47)|spl0_29),
% 0.14/0.39 inference(component_clause,[status(thm)],[f651])).
% 0.14/0.39 fof(f654,plain,(
% 0.14/0.39 spl0_30 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_47,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f655,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_47,X0)|~spl0_30)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f654])).
% 0.14/0.39 fof(f657,plain,(
% 0.14/0.39 ![X0]: (~ssList(sk0_47)|~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_47,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f282,f541])).
% 0.14/0.39 fof(f658,plain,(
% 0.14/0.39 ~spl0_29|~spl0_8|spl0_30),
% 0.14/0.39 inference(split_clause,[status(thm)],[f657,f651,f547,f654])).
% 0.14/0.39 fof(f659,plain,(
% 0.14/0.39 spl0_31 <=> ~ssList(X0)|~frontsegP(sk0_47,X0)|frontsegP(sk0_47,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f662,plain,(
% 0.14/0.39 ![X0]: (~ssList(sk0_47)|~ssList(sk0_47)|~ssList(X0)|~frontsegP(sk0_47,X0)|frontsegP(sk0_47,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f282,f484])).
% 0.14/0.39 fof(f663,plain,(
% 0.14/0.39 ~spl0_29|spl0_31),
% 0.14/0.39 inference(split_clause,[status(thm)],[f662,f651,f659])).
% 0.14/0.39 fof(f664,plain,(
% 0.14/0.39 spl0_32 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f665,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0)|~spl0_32)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f664])).
% 0.14/0.39 fof(f667,plain,(
% 0.14/0.39 ![X0]: (~ssList(sk0_48)|~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f282,f542])).
% 0.14/0.39 fof(f668,plain,(
% 0.14/0.39 ~spl0_5|~spl0_8|spl0_32),
% 0.14/0.39 inference(split_clause,[status(thm)],[f667,f502,f547,f664])).
% 0.14/0.39 fof(f669,plain,(
% 0.14/0.39 spl0_33 <=> ~ssList(X0)|~frontsegP(sk0_48,X0)|frontsegP(sk0_48,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f672,plain,(
% 0.14/0.39 ![X0]: (~ssList(sk0_48)|~ssList(sk0_48)|~ssList(X0)|~frontsegP(sk0_48,X0)|frontsegP(sk0_48,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f282,f483])).
% 0.14/0.39 fof(f673,plain,(
% 0.14/0.39 ~spl0_5|spl0_33),
% 0.14/0.39 inference(split_clause,[status(thm)],[f672,f502,f669])).
% 0.14/0.39 fof(f679,plain,(
% 0.14/0.39 spl0_35 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(nil,X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f682,plain,(
% 0.14/0.39 ![X0]: (~ssList(nil)|~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|frontsegP(nil,X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f282,f482])).
% 0.14/0.39 fof(f683,plain,(
% 0.14/0.39 ~spl0_8|spl0_35),
% 0.14/0.39 inference(split_clause,[status(thm)],[f682,f547,f679])).
% 0.14/0.39 fof(f684,plain,(
% 0.14/0.39 $false|spl0_29),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f653,f419])).
% 0.14/0.39 fof(f685,plain,(
% 0.14/0.39 spl0_29),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f684])).
% 0.14/0.39 fof(f686,plain,(
% 0.14/0.39 $false|spl0_5),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f504,f420])).
% 0.14/0.39 fof(f687,plain,(
% 0.14/0.39 spl0_5),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f686])).
% 0.14/0.39 fof(f688,plain,(
% 0.14/0.39 spl0_36 <=> frontsegP(nil,sk0_47)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f691,plain,(
% 0.14/0.39 ~ssList(sk0_47)|~ssList(nil)|~frontsegP(nil,sk0_47)|sk0_47=nil),
% 0.14/0.39 inference(resolution,[status(thm)],[f284,f541])).
% 0.14/0.39 fof(f692,plain,(
% 0.14/0.39 ~spl0_29|~spl0_8|~spl0_36|spl0_1),
% 0.14/0.39 inference(split_clause,[status(thm)],[f691,f651,f547,f688,f435])).
% 0.14/0.39 fof(f693,plain,(
% 0.14/0.39 spl0_37 <=> frontsegP(sk0_47,sk0_47)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f695,plain,(
% 0.14/0.39 ~frontsegP(sk0_47,sk0_47)|spl0_37),
% 0.14/0.39 inference(component_clause,[status(thm)],[f693])).
% 0.14/0.39 fof(f696,plain,(
% 0.14/0.39 ~ssList(sk0_47)|~ssList(sk0_47)|~frontsegP(sk0_47,sk0_47)|sk0_47=sk0_47),
% 0.14/0.39 inference(resolution,[status(thm)],[f284,f484])).
% 0.14/0.39 fof(f697,plain,(
% 0.14/0.39 ~spl0_29|~spl0_37|spl0_20),
% 0.14/0.39 inference(split_clause,[status(thm)],[f696,f651,f693,f606])).
% 0.14/0.39 fof(f698,plain,(
% 0.14/0.39 spl0_38 <=> frontsegP(nil,sk0_48)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f700,plain,(
% 0.14/0.39 ~frontsegP(nil,sk0_48)|spl0_38),
% 0.14/0.39 inference(component_clause,[status(thm)],[f698])).
% 0.14/0.39 fof(f701,plain,(
% 0.14/0.39 ~ssList(sk0_48)|~ssList(nil)|~frontsegP(nil,sk0_48)|sk0_48=nil),
% 0.14/0.39 inference(resolution,[status(thm)],[f284,f542])).
% 0.14/0.39 fof(f702,plain,(
% 0.14/0.39 ~spl0_5|~spl0_8|~spl0_38|spl0_0),
% 0.14/0.39 inference(split_clause,[status(thm)],[f701,f502,f547,f698,f432])).
% 0.14/0.39 fof(f703,plain,(
% 0.14/0.39 spl0_39 <=> frontsegP(sk0_48,sk0_48)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f705,plain,(
% 0.14/0.39 ~frontsegP(sk0_48,sk0_48)|spl0_39),
% 0.14/0.39 inference(component_clause,[status(thm)],[f703])).
% 0.14/0.39 fof(f706,plain,(
% 0.14/0.39 ~ssList(sk0_48)|~ssList(sk0_48)|~frontsegP(sk0_48,sk0_48)|sk0_48=sk0_48),
% 0.14/0.39 inference(resolution,[status(thm)],[f284,f483])).
% 0.14/0.39 fof(f707,plain,(
% 0.14/0.39 ~spl0_5|~spl0_39|spl0_26),
% 0.14/0.39 inference(split_clause,[status(thm)],[f706,f502,f703,f632])).
% 0.14/0.39 fof(f718,plain,(
% 0.14/0.39 $false|spl0_37),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f695,f484])).
% 0.14/0.39 fof(f719,plain,(
% 0.14/0.39 spl0_37),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f718])).
% 0.14/0.39 fof(f720,plain,(
% 0.14/0.39 $false|spl0_39),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f705,f483])).
% 0.14/0.39 fof(f721,plain,(
% 0.14/0.39 spl0_39),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f720])).
% 0.14/0.39 fof(f730,plain,(
% 0.14/0.39 app(nil,sk0_47)=sk0_47),
% 0.14/0.39 inference(resolution,[status(thm)],[f249,f419])).
% 0.14/0.39 fof(f731,plain,(
% 0.14/0.39 app(nil,sk0_48)=sk0_48),
% 0.14/0.39 inference(resolution,[status(thm)],[f249,f420])).
% 0.14/0.39 fof(f732,plain,(
% 0.14/0.39 app(nil,nil)=nil),
% 0.14/0.39 inference(resolution,[status(thm)],[f249,f223])).
% 0.14/0.39 fof(f733,plain,(
% 0.14/0.39 spl0_42 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f734,plain,(
% 0.14/0.39 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_42)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f733])).
% 0.14/0.39 fof(f736,plain,(
% 0.14/0.39 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f730,f456])).
% 0.14/0.39 fof(f737,plain,(
% 0.20/0.39 spl0_42|~spl0_29|~spl0_8),
% 0.20/0.39 inference(split_clause,[status(thm)],[f736,f733,f651,f547])).
% 0.20/0.39 fof(f738,plain,(
% 0.20/0.39 spl0_43 <=> frontsegP(app(nil,sk0_47),nil)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f741,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~ssList(nil)|frontsegP(app(nil,sk0_47),nil)|~ssList(sk0_47)),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f730,f454])).
% 0.20/0.39 fof(f742,plain,(
% 0.20/0.39 ~spl0_29|~spl0_8|spl0_43),
% 0.20/0.39 inference(split_clause,[status(thm)],[f741,f651,f547,f738])).
% 0.20/0.39 fof(f743,plain,(
% 0.20/0.39 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_42)),
% 0.20/0.39 inference(forward_demodulation,[status(thm)],[f730,f734])).
% 0.20/0.39 fof(f767,plain,(
% 0.20/0.39 ~ssItem(sk0_0)|~spl0_14),
% 0.20/0.39 inference(resolution,[status(thm)],[f578,f451])).
% 0.20/0.39 fof(f768,plain,(
% 0.20/0.39 $false|~spl0_14),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f767,f103])).
% 0.20/0.39 fof(f769,plain,(
% 0.20/0.39 ~spl0_14),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f768])).
% 0.20/0.39 fof(f771,plain,(
% 0.20/0.39 ~ssItem(sk0_1)|~spl0_16),
% 0.20/0.39 inference(resolution,[status(thm)],[f586,f451])).
% 0.20/0.39 fof(f772,plain,(
% 0.20/0.39 $false|~spl0_16),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f771,f104])).
% 0.20/0.39 fof(f773,plain,(
% 0.20/0.39 ~spl0_16),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f772])).
% 0.20/0.39 fof(f778,plain,(
% 0.20/0.39 ~frontsegP(nil,nil)|~spl0_0|spl0_38),
% 0.20/0.39 inference(forward_demodulation,[status(thm)],[f433,f700])).
% 0.20/0.39 fof(f779,plain,(
% 0.20/0.39 $false|~spl0_0|spl0_38),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f778,f482])).
% 0.20/0.39 fof(f780,plain,(
% 0.20/0.39 ~spl0_0|spl0_38),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f779])).
% 0.20/0.39 fof(f790,plain,(
% 0.20/0.39 spl0_44 <=> frontsegP(sk0_47,nil)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f793,plain,(
% 0.20/0.39 ~ssList(nil)|frontsegP(sk0_47,nil)|~spl0_30),
% 0.20/0.39 inference(resolution,[status(thm)],[f655,f482])).
% 0.20/0.39 fof(f794,plain,(
% 0.20/0.39 ~spl0_8|spl0_44|~spl0_30),
% 0.20/0.39 inference(split_clause,[status(thm)],[f793,f547,f790,f654])).
% 0.20/0.39 fof(f795,plain,(
% 0.20/0.39 spl0_45 <=> frontsegP(sk0_48,nil)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f796,plain,(
% 0.20/0.39 frontsegP(sk0_48,nil)|~spl0_45),
% 0.20/0.39 inference(component_clause,[status(thm)],[f795])).
% 0.20/0.39 fof(f798,plain,(
% 0.20/0.39 ~ssList(nil)|frontsegP(sk0_48,nil)|~spl0_32),
% 0.20/0.39 inference(resolution,[status(thm)],[f665,f482])).
% 0.20/0.39 fof(f799,plain,(
% 0.20/0.39 ~spl0_8|spl0_45|~spl0_32),
% 0.20/0.39 inference(split_clause,[status(thm)],[f798,f547,f795,f664])).
% 0.20/0.39 fof(f830,plain,(
% 0.20/0.39 spl0_47 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f833,plain,(
% 0.20/0.39 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f731,f456])).
% 0.20/0.39 fof(f834,plain,(
% 0.20/0.39 spl0_47|~spl0_5|~spl0_8),
% 0.20/0.39 inference(split_clause,[status(thm)],[f833,f830,f502,f547])).
% 0.20/0.39 fof(f835,plain,(
% 0.20/0.39 spl0_48 <=> frontsegP(app(nil,sk0_48),nil)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f838,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(nil)|frontsegP(app(nil,sk0_48),nil)|~ssList(sk0_48)),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f731,f454])).
% 0.20/0.39 fof(f839,plain,(
% 0.20/0.39 ~spl0_5|~spl0_8|spl0_48),
% 0.20/0.39 inference(split_clause,[status(thm)],[f838,f502,f547,f835])).
% 0.20/0.39 fof(f841,plain,(
% 0.20/0.39 spl0_49 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f844,plain,(
% 0.20/0.39 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f732,f456])).
% 0.20/0.39 fof(f845,plain,(
% 0.20/0.39 spl0_49|~spl0_8),
% 0.20/0.39 inference(split_clause,[status(thm)],[f844,f841,f547])).
% 0.20/0.39 fof(f846,plain,(
% 0.20/0.39 spl0_50 <=> frontsegP(app(nil,nil),nil)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f849,plain,(
% 0.20/0.39 ~ssList(nil)|~ssList(nil)|frontsegP(app(nil,nil),nil)|~ssList(nil)),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f732,f454])).
% 0.20/0.39 fof(f850,plain,(
% 0.20/0.39 ~spl0_8|spl0_50),
% 0.20/0.39 inference(split_clause,[status(thm)],[f849,f547,f846])).
% 0.20/0.39 fof(f856,plain,(
% 0.20/0.39 app(sk0_48,nil)=sk0_48),
% 0.20/0.39 inference(resolution,[status(thm)],[f389,f420])).
% 0.20/0.39 fof(f857,plain,(
% 0.20/0.39 app(sk0_47,nil)=sk0_47),
% 0.20/0.39 inference(resolution,[status(thm)],[f389,f419])).
% 0.20/0.39 fof(f859,plain,(
% 0.20/0.39 spl0_51 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f862,plain,(
% 0.20/0.39 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f856,f456])).
% 0.20/0.39 fof(f863,plain,(
% 0.20/0.39 spl0_51|~spl0_8|~spl0_5),
% 0.20/0.39 inference(split_clause,[status(thm)],[f862,f859,f547,f502])).
% 0.20/0.39 fof(f864,plain,(
% 0.20/0.39 spl0_52 <=> frontsegP(app(sk0_48,nil),sk0_48)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f867,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(sk0_48)|frontsegP(app(sk0_48,nil),sk0_48)|~ssList(nil)),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f856,f454])).
% 0.20/0.39 fof(f868,plain,(
% 0.20/0.39 ~spl0_5|spl0_52|~spl0_8),
% 0.20/0.39 inference(split_clause,[status(thm)],[f867,f502,f864,f547])).
% 0.20/0.39 fof(f871,plain,(
% 0.20/0.39 spl0_53 <=> segmentP(app(sk0_47,nil),sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f874,plain,(
% 0.20/0.39 ~ssList(sk0_47)|segmentP(app(sk0_47,nil),sk0_47)|~ssList(nil)|~spl0_42),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f857,f743])).
% 0.20/0.39 fof(f875,plain,(
% 0.20/0.39 ~spl0_29|spl0_53|~spl0_8|~spl0_42),
% 0.20/0.39 inference(split_clause,[status(thm)],[f874,f651,f871,f547,f733])).
% 0.20/0.39 fof(f876,plain,(
% 0.20/0.39 spl0_54 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f879,plain,(
% 0.20/0.39 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f857,f456])).
% 0.20/0.39 fof(f880,plain,(
% 0.20/0.39 spl0_54|~spl0_8|~spl0_29),
% 0.20/0.39 inference(split_clause,[status(thm)],[f879,f876,f547,f651])).
% 0.20/0.39 fof(f881,plain,(
% 0.20/0.39 spl0_55 <=> frontsegP(app(sk0_47,nil),sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f884,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~ssList(sk0_47)|frontsegP(app(sk0_47,nil),sk0_47)|~ssList(nil)),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f857,f454])).
% 0.20/0.39 fof(f885,plain,(
% 0.20/0.39 ~spl0_29|spl0_55|~spl0_8),
% 0.20/0.39 inference(split_clause,[status(thm)],[f884,f651,f881,f547])).
% 0.20/0.39 fof(f897,plain,(
% 0.20/0.39 spl0_56 <=> ssList(sk0_5(sk0_48,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f898,plain,(
% 0.20/0.39 ssList(sk0_5(sk0_48,sk0_48))|~spl0_56),
% 0.20/0.39 inference(component_clause,[status(thm)],[f897])).
% 0.20/0.39 fof(f900,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(sk0_48)|ssList(sk0_5(sk0_48,sk0_48))),
% 0.20/0.39 inference(resolution,[status(thm)],[f122,f483])).
% 0.20/0.39 fof(f901,plain,(
% 0.20/0.39 ~spl0_5|spl0_56),
% 0.20/0.39 inference(split_clause,[status(thm)],[f900,f502,f897])).
% 0.20/0.39 fof(f902,plain,(
% 0.20/0.39 spl0_57 <=> ssList(sk0_5(nil,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f903,plain,(
% 0.20/0.39 ssList(sk0_5(nil,sk0_48))|~spl0_57),
% 0.20/0.39 inference(component_clause,[status(thm)],[f902])).
% 0.20/0.39 fof(f905,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(nil)|ssList(sk0_5(nil,sk0_48))|~spl0_45),
% 0.20/0.39 inference(resolution,[status(thm)],[f122,f796])).
% 0.20/0.39 fof(f906,plain,(
% 0.20/0.39 ~spl0_5|~spl0_8|spl0_57|~spl0_45),
% 0.20/0.39 inference(split_clause,[status(thm)],[f905,f502,f547,f902,f795])).
% 0.20/0.39 fof(f907,plain,(
% 0.20/0.39 spl0_58 <=> ssList(sk0_5(sk0_47,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f910,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(sk0_47)|ssList(sk0_5(sk0_47,sk0_48))|~spl0_4),
% 0.20/0.39 inference(resolution,[status(thm)],[f122,f499])).
% 0.20/0.39 fof(f911,plain,(
% 0.20/0.39 ~spl0_5|~spl0_29|spl0_58|~spl0_4),
% 0.20/0.39 inference(split_clause,[status(thm)],[f910,f502,f651,f907,f446])).
% 0.20/0.39 fof(f912,plain,(
% 0.20/0.39 spl0_59 <=> ssList(sk0_5(nil,sk0_47))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f913,plain,(
% 0.20/0.39 ssList(sk0_5(nil,sk0_47))|~spl0_59),
% 0.20/0.39 inference(component_clause,[status(thm)],[f912])).
% 0.20/0.39 fof(f915,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~ssList(nil)|ssList(sk0_5(nil,sk0_47))),
% 0.20/0.39 inference(resolution,[status(thm)],[f122,f541])).
% 0.20/0.39 fof(f916,plain,(
% 0.20/0.39 ~spl0_29|~spl0_8|spl0_59),
% 0.20/0.39 inference(split_clause,[status(thm)],[f915,f651,f547,f912])).
% 0.20/0.39 fof(f917,plain,(
% 0.20/0.39 spl0_60 <=> ssList(sk0_5(sk0_47,sk0_47))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f918,plain,(
% 0.20/0.39 ssList(sk0_5(sk0_47,sk0_47))|~spl0_60),
% 0.20/0.39 inference(component_clause,[status(thm)],[f917])).
% 0.20/0.39 fof(f920,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~ssList(sk0_47)|ssList(sk0_5(sk0_47,sk0_47))),
% 0.20/0.39 inference(resolution,[status(thm)],[f122,f484])).
% 0.20/0.39 fof(f921,plain,(
% 0.20/0.39 ~spl0_29|spl0_60),
% 0.20/0.39 inference(split_clause,[status(thm)],[f920,f651,f917])).
% 0.20/0.39 fof(f922,plain,(
% 0.20/0.39 spl0_61 <=> ssList(sk0_5(nil,nil))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f925,plain,(
% 0.20/0.39 ~ssList(nil)|~ssList(nil)|ssList(sk0_5(nil,nil))),
% 0.20/0.39 inference(resolution,[status(thm)],[f122,f482])).
% 0.20/0.39 fof(f926,plain,(
% 0.20/0.39 ~spl0_8|spl0_61),
% 0.20/0.39 inference(split_clause,[status(thm)],[f925,f547,f922])).
% 0.20/0.39 fof(f927,plain,(
% 0.20/0.39 spl0_62 <=> app(sk0_48,sk0_5(sk0_48,sk0_48))=sk0_48),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f930,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(sk0_48)|app(sk0_48,sk0_5(sk0_48,sk0_48))=sk0_48),
% 0.20/0.39 inference(resolution,[status(thm)],[f123,f483])).
% 0.20/0.39 fof(f931,plain,(
% 0.20/0.39 ~spl0_5|spl0_62),
% 0.20/0.39 inference(split_clause,[status(thm)],[f930,f502,f927])).
% 0.20/0.39 fof(f932,plain,(
% 0.20/0.39 spl0_63 <=> app(nil,sk0_5(nil,sk0_48))=sk0_48),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f935,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(nil)|app(nil,sk0_5(nil,sk0_48))=sk0_48|~spl0_45),
% 0.20/0.39 inference(resolution,[status(thm)],[f123,f796])).
% 0.20/0.39 fof(f936,plain,(
% 0.20/0.39 ~spl0_5|~spl0_8|spl0_63|~spl0_45),
% 0.20/0.39 inference(split_clause,[status(thm)],[f935,f502,f547,f932,f795])).
% 0.20/0.39 fof(f937,plain,(
% 0.20/0.39 spl0_64 <=> app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f938,plain,(
% 0.20/0.39 app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48|~spl0_64),
% 0.20/0.39 inference(component_clause,[status(thm)],[f937])).
% 0.20/0.39 fof(f940,plain,(
% 0.20/0.39 ~ssList(sk0_48)|~ssList(sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48|~spl0_4),
% 0.20/0.39 inference(resolution,[status(thm)],[f123,f499])).
% 0.20/0.39 fof(f941,plain,(
% 0.20/0.39 ~spl0_5|~spl0_29|spl0_64|~spl0_4),
% 0.20/0.39 inference(split_clause,[status(thm)],[f940,f502,f651,f937,f446])).
% 0.20/0.39 fof(f942,plain,(
% 0.20/0.39 spl0_65 <=> app(nil,sk0_5(nil,sk0_47))=sk0_47),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f945,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~ssList(nil)|app(nil,sk0_5(nil,sk0_47))=sk0_47),
% 0.20/0.39 inference(resolution,[status(thm)],[f123,f541])).
% 0.20/0.39 fof(f946,plain,(
% 0.20/0.39 ~spl0_29|~spl0_8|spl0_65),
% 0.20/0.39 inference(split_clause,[status(thm)],[f945,f651,f547,f942])).
% 0.20/0.39 fof(f947,plain,(
% 0.20/0.39 spl0_66 <=> app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f950,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~ssList(sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 0.20/0.39 inference(resolution,[status(thm)],[f123,f484])).
% 0.20/0.39 fof(f951,plain,(
% 0.20/0.39 ~spl0_29|spl0_66),
% 0.20/0.39 inference(split_clause,[status(thm)],[f950,f651,f947])).
% 0.20/0.39 fof(f952,plain,(
% 0.20/0.39 spl0_67 <=> app(nil,sk0_5(nil,nil))=nil),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f955,plain,(
% 0.20/0.39 ~ssList(nil)|~ssList(nil)|app(nil,sk0_5(nil,nil))=nil),
% 0.20/0.39 inference(resolution,[status(thm)],[f123,f482])).
% 0.20/0.39 fof(f956,plain,(
% 0.20/0.39 ~spl0_8|spl0_67),
% 0.20/0.39 inference(split_clause,[status(thm)],[f955,f547,f952])).
% 0.20/0.39 fof(f962,plain,(
% 0.20/0.39 spl0_68 <=> neq(nil,sk0_5(nil,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f965,plain,(
% 0.20/0.39 spl0_69 <=> nil=sk0_5(nil,sk0_48)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f968,plain,(
% 0.20/0.39 neq(nil,sk0_5(nil,sk0_48))|nil=sk0_5(nil,sk0_48)|~spl0_57),
% 0.20/0.39 inference(resolution,[status(thm)],[f903,f602])).
% 0.20/0.39 fof(f969,plain,(
% 0.20/0.39 spl0_68|spl0_69|~spl0_57),
% 0.20/0.39 inference(split_clause,[status(thm)],[f968,f962,f965,f902])).
% 0.20/0.39 fof(f970,plain,(
% 0.20/0.39 spl0_70 <=> neq(sk0_47,sk0_5(nil,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f973,plain,(
% 0.20/0.39 spl0_71 <=> sk0_47=sk0_5(nil,sk0_48)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f976,plain,(
% 0.20/0.39 neq(sk0_47,sk0_5(nil,sk0_48))|sk0_47=sk0_5(nil,sk0_48)|~spl0_57),
% 0.20/0.39 inference(resolution,[status(thm)],[f903,f600])).
% 0.20/0.39 fof(f977,plain,(
% 0.20/0.39 spl0_70|spl0_71|~spl0_57),
% 0.20/0.39 inference(split_clause,[status(thm)],[f976,f970,f973,f902])).
% 0.20/0.39 fof(f988,plain,(
% 0.20/0.39 spl0_72 <=> neq(nil,sk0_5(nil,sk0_47))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f991,plain,(
% 0.20/0.39 spl0_73 <=> nil=sk0_5(nil,sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f994,plain,(
% 0.20/0.39 neq(nil,sk0_5(nil,sk0_47))|nil=sk0_5(nil,sk0_47)|~spl0_59),
% 0.20/0.39 inference(resolution,[status(thm)],[f913,f602])).
% 0.20/0.39 fof(f995,plain,(
% 0.20/0.39 spl0_72|spl0_73|~spl0_59),
% 0.20/0.39 inference(split_clause,[status(thm)],[f994,f988,f991,f912])).
% 0.20/0.39 fof(f996,plain,(
% 0.20/0.39 spl0_74 <=> neq(sk0_47,sk0_5(nil,sk0_47))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f999,plain,(
% 0.20/0.39 spl0_75 <=> sk0_47=sk0_5(nil,sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1002,plain,(
% 0.20/0.39 neq(sk0_47,sk0_5(nil,sk0_47))|sk0_47=sk0_5(nil,sk0_47)|~spl0_59),
% 0.20/0.39 inference(resolution,[status(thm)],[f913,f600])).
% 0.20/0.39 fof(f1003,plain,(
% 0.20/0.39 spl0_74|spl0_75|~spl0_59),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1002,f996,f999,f912])).
% 0.20/0.39 fof(f1014,plain,(
% 0.20/0.39 spl0_76 <=> neq(nil,sk0_5(sk0_47,sk0_47))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1017,plain,(
% 0.20/0.39 spl0_77 <=> nil=sk0_5(sk0_47,sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1020,plain,(
% 0.20/0.39 neq(nil,sk0_5(sk0_47,sk0_47))|nil=sk0_5(sk0_47,sk0_47)|~spl0_60),
% 0.20/0.39 inference(resolution,[status(thm)],[f918,f602])).
% 0.20/0.39 fof(f1021,plain,(
% 0.20/0.39 spl0_76|spl0_77|~spl0_60),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1020,f1014,f1017,f917])).
% 0.20/0.39 fof(f1022,plain,(
% 0.20/0.39 spl0_78 <=> neq(sk0_47,sk0_5(sk0_47,sk0_47))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1025,plain,(
% 0.20/0.39 spl0_79 <=> sk0_47=sk0_5(sk0_47,sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1028,plain,(
% 0.20/0.39 neq(sk0_47,sk0_5(sk0_47,sk0_47))|sk0_47=sk0_5(sk0_47,sk0_47)|~spl0_60),
% 0.20/0.39 inference(resolution,[status(thm)],[f918,f600])).
% 0.20/0.39 fof(f1029,plain,(
% 0.20/0.39 spl0_78|spl0_79|~spl0_60),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1028,f1022,f1025,f917])).
% 0.20/0.39 fof(f1040,plain,(
% 0.20/0.39 spl0_80 <=> neq(nil,sk0_5(sk0_48,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1043,plain,(
% 0.20/0.39 spl0_81 <=> nil=sk0_5(sk0_48,sk0_48)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1046,plain,(
% 0.20/0.39 neq(nil,sk0_5(sk0_48,sk0_48))|nil=sk0_5(sk0_48,sk0_48)|~spl0_56),
% 0.20/0.39 inference(resolution,[status(thm)],[f898,f602])).
% 0.20/0.39 fof(f1047,plain,(
% 0.20/0.39 spl0_80|spl0_81|~spl0_56),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1046,f1040,f1043,f897])).
% 0.20/0.39 fof(f1048,plain,(
% 0.20/0.39 spl0_82 <=> neq(sk0_47,sk0_5(sk0_48,sk0_48))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1051,plain,(
% 0.20/0.39 spl0_83 <=> sk0_47=sk0_5(sk0_48,sk0_48)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1054,plain,(
% 0.20/0.39 neq(sk0_47,sk0_5(sk0_48,sk0_48))|sk0_47=sk0_5(sk0_48,sk0_48)|~spl0_56),
% 0.20/0.39 inference(resolution,[status(thm)],[f898,f600])).
% 0.20/0.39 fof(f1055,plain,(
% 0.20/0.39 spl0_82|spl0_83|~spl0_56),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1054,f1048,f1051,f897])).
% 0.20/0.39 fof(f1087,plain,(
% 0.20/0.39 spl0_88 <=> segmentP(app(sk0_47,sk0_5(sk0_47,sk0_48)),sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1088,plain,(
% 0.20/0.39 segmentP(app(sk0_47,sk0_5(sk0_47,sk0_48)),sk0_47)|~spl0_88),
% 0.20/0.39 inference(component_clause,[status(thm)],[f1087])).
% 0.20/0.39 fof(f1090,plain,(
% 0.20/0.39 ~ssList(sk0_48)|segmentP(app(sk0_47,sk0_5(sk0_47,sk0_48)),sk0_47)|~ssList(sk0_5(sk0_47,sk0_48))|~spl0_42|~spl0_64),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f938,f743])).
% 0.20/0.39 fof(f1091,plain,(
% 0.20/0.39 ~spl0_5|spl0_88|~spl0_58|~spl0_42|~spl0_64),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1090,f502,f1087,f907,f733,f937])).
% 0.20/0.39 fof(f1102,plain,(
% 0.20/0.39 segmentP(sk0_48,sk0_47)|~spl0_64|~spl0_88),
% 0.20/0.39 inference(forward_demodulation,[status(thm)],[f938,f1088])).
% 0.20/0.39 fof(f1104,plain,(
% 0.20/0.39 spl0_91 <=> segmentP(sk0_47,sk0_47)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1106,plain,(
% 0.20/0.39 ~segmentP(sk0_47,sk0_47)|spl0_91),
% 0.20/0.39 inference(component_clause,[status(thm)],[f1104])).
% 0.20/0.39 fof(f1107,plain,(
% 0.20/0.39 ~ssList(sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_47,sk0_47)|~spl0_64|~spl0_88),
% 0.20/0.39 inference(resolution,[status(thm)],[f1102,f425])).
% 0.20/0.39 fof(f1108,plain,(
% 0.20/0.39 ~spl0_29|~spl0_23|~spl0_91|~spl0_64|~spl0_88),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1107,f651,f619,f1104,f937,f1087])).
% 0.20/0.39 fof(f1109,plain,(
% 0.20/0.39 $false|spl0_91),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1106,f487])).
% 0.20/0.39 fof(f1110,plain,(
% 0.20/0.39 spl0_91),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f1109])).
% 0.20/0.39 fof(f1111,plain,(
% 0.20/0.39 $false),
% 0.20/0.39 inference(sat_refutation,[status(thm)],[f438,f445,f449,f496,f524,f534,f557,f559,f561,f576,f584,f592,f597,f599,f623,f650,f658,f663,f668,f673,f683,f685,f687,f692,f697,f702,f707,f719,f721,f737,f742,f769,f773,f780,f794,f799,f834,f839,f845,f850,f863,f868,f875,f880,f885,f901,f906,f911,f916,f921,f926,f931,f936,f941,f946,f951,f956,f969,f977,f995,f1003,f1021,f1029,f1047,f1055,f1091,f1108,f1110])).
% 0.20/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.39 % Elapsed time: 0.036662 seconds
% 0.20/0.39 % CPU time: 0.105548 seconds
% 0.20/0.39 % Total memory used: 17.281 MB
% 0.20/0.39 % Net memory used: 17.233 MB
%------------------------------------------------------------------------------