TSTP Solution File: SWC057+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC057+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:39:04 EDT 2023
% Result : Theorem 1.98s 0.73s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:39:43 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.34 % Drodi V3.5.1
% 1.98/0.73 % Refutation found
% 1.98/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.98/0.73 % SZS output start CNFRefutation for theBenchmark
% 1.98/0.73 fof(f2,axiom,(
% 1.98/0.73 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f5,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f7,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f15,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f17,axiom,(
% 1.98/0.73 ssList(nil) ),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f28,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f40,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( frontsegP(U,V)& frontsegP(V,W) )=> frontsegP(U,W) ) ) )) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f41,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( frontsegP(U,V)& frontsegP(V,U) )=> U = V ) ) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f42,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f43,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( frontsegP(U,V)=> frontsegP(app(U,W),V) ) ) )) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f44,axiom,(
% 1.98/0.73 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( frontsegP(cons(U,W),cons(V,X))<=> ( U = V& frontsegP(W,X) ) ) ) )) )) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f45,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f46,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> ( frontsegP(nil,U)<=> nil = U ) ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f54,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f55,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f57,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f84,axiom,(
% 1.98/0.73 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f96,conjecture,(
% 1.98/0.73 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) )) )) )) )),
% 1.98/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.98/0.73 fof(f97,negated_conjecture,(
% 1.98/0.73 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) )) )) )) ))),
% 1.98/0.73 inference(negated_conjecture,[status(cth)],[f96])).
% 1.98/0.73 fof(f102,plain,(
% 1.98/0.73 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 1.98/0.73 inference(skolemization,[status(esa)],[f2])).
% 1.98/0.73 fof(f104,plain,(
% 1.98/0.73 ssItem(sk0_1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f102])).
% 1.98/0.73 fof(f119,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 1.98/0.73 fof(f120,plain,(
% 1.98/0.73 ![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)))))))),
% 1.98/0.73 inference(NNF_transformation,[status(esa)],[f119])).
% 1.98/0.73 fof(f121,plain,(
% 1.98/0.73 ![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)))))))),
% 1.98/0.73 inference(skolemization,[status(esa)],[f120])).
% 1.98/0.73 fof(f122,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f121])).
% 1.98/0.73 fof(f123,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f121])).
% 1.98/0.73 fof(f124,plain,(
% 1.98/0.73 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f121])).
% 1.98/0.73 fof(f131,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 1.98/0.73 fof(f132,plain,(
% 1.98/0.73 ![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)))))))))),
% 1.98/0.73 inference(NNF_transformation,[status(esa)],[f131])).
% 1.98/0.73 fof(f133,plain,(
% 1.98/0.73 ![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)))))))))),
% 1.98/0.73 inference(skolemization,[status(esa)],[f132])).
% 1.98/0.73 fof(f137,plain,(
% 1.98/0.73 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f133])).
% 1.98/0.73 fof(f217,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 1.98/0.73 fof(f218,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 1.98/0.73 inference(NNF_transformation,[status(esa)],[f217])).
% 1.98/0.73 fof(f219,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f218])).
% 1.98/0.73 fof(f220,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f218])).
% 1.98/0.73 fof(f223,plain,(
% 1.98/0.73 ssList(nil)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f17])).
% 1.98/0.73 fof(f248,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|app(nil,U)=U)),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 1.98/0.73 fof(f249,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f248])).
% 1.98/0.73 fof(f281,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~frontsegP(U,V)|~frontsegP(V,W))|frontsegP(U,W)))))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 1.98/0.73 fof(f282,plain,(
% 1.98/0.73 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|frontsegP(X0,X2))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f281])).
% 1.98/0.73 fof(f283,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|~frontsegP(V,U))|U=V))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 1.98/0.73 fof(f284,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,X0)|X0=X1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f283])).
% 1.98/0.73 fof(f285,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|frontsegP(U,U))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 1.98/0.73 fof(f286,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f285])).
% 1.98/0.73 fof(f287,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~frontsegP(U,V)|frontsegP(app(U,W),V)))))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 1.98/0.73 fof(f288,plain,(
% 1.98/0.73 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|frontsegP(app(X0,X2),X1))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f287])).
% 1.98/0.73 fof(f289,plain,(
% 1.98/0.73 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(frontsegP(cons(U,W),cons(V,X))<=>(U=V&frontsegP(W,X))))))))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 1.98/0.73 fof(f290,plain,(
% 1.98/0.73 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|((~frontsegP(cons(U,W),cons(V,X))|(U=V&frontsegP(W,X)))&(frontsegP(cons(U,W),cons(V,X))|(~U=V|~frontsegP(W,X)))))))))))),
% 1.98/0.73 inference(NNF_transformation,[status(esa)],[f289])).
% 1.98/0.73 fof(f292,plain,(
% 1.98/0.73 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~frontsegP(cons(X0,X2),cons(X1,X3))|frontsegP(X2,X3))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f290])).
% 1.98/0.73 fof(f293,plain,(
% 1.98/0.73 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|frontsegP(cons(X0,X2),cons(X1,X3))|~X0=X1|~frontsegP(X2,X3))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f290])).
% 1.98/0.73 fof(f294,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 1.98/0.73 fof(f295,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f294])).
% 1.98/0.73 fof(f296,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(frontsegP(nil,U)<=>nil=U))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 1.98/0.73 fof(f297,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|((~frontsegP(nil,U)|nil=U)&(frontsegP(nil,U)|~nil=U)))),
% 1.98/0.73 inference(NNF_transformation,[status(esa)],[f296])).
% 1.98/0.73 fof(f298,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f297])).
% 1.98/0.73 fof(f316,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 1.98/0.73 fof(f317,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f316])).
% 1.98/0.73 fof(f318,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|segmentP(U,U))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 1.98/0.73 fof(f319,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f318])).
% 1.98/0.73 fof(f322,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|segmentP(U,nil))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 1.98/0.73 fof(f323,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f322])).
% 1.98/0.73 fof(f388,plain,(
% 1.98/0.73 ![U]: (~ssList(U)|app(U,nil)=U)),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 1.98/0.73 fof(f389,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f388])).
% 1.98/0.73 fof(f415,plain,(
% 1.98/0.73 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 1.98/0.73 fof(f416,plain,(
% 1.98/0.73 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 1.98/0.73 introduced(predicate_definition,[f415])).
% 1.98/0.73 fof(f417,plain,(
% 1.98/0.73 ![W,X]: (pd0_1(X,W)=>(nil=X&nil=W))),
% 1.98/0.73 introduced(predicate_definition,[f415])).
% 1.98/0.73 fof(f418,plain,(
% 1.98/0.73 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(pd0_0(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))&(pd0_1(X,W)|(neq(W,nil)&frontsegP(X,W))))))))))),
% 1.98/0.73 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 1.98/0.73 fof(f419,plain,(
% 1.98/0.73 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))))&(pd0_1(sk0_50,sk0_49)|(neq(sk0_49,nil)&frontsegP(sk0_50,sk0_49)))))))),
% 1.98/0.73 inference(skolemization,[status(esa)],[f418])).
% 1.98/0.73 fof(f420,plain,(
% 1.98/0.73 ssList(sk0_47)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f421,plain,(
% 1.98/0.73 ssList(sk0_48)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f424,plain,(
% 1.98/0.73 sk0_48=sk0_50),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f425,plain,(
% 1.98/0.73 sk0_47=sk0_49),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f426,plain,(
% 1.98/0.73 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f427,plain,(
% 1.98/0.73 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f428,plain,(
% 1.98/0.73 pd0_1(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f429,plain,(
% 1.98/0.73 pd0_1(sk0_50,sk0_49)|frontsegP(sk0_50,sk0_49)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f419])).
% 1.98/0.73 fof(f430,plain,(
% 1.98/0.73 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 1.98/0.73 fof(f431,plain,(
% 1.98/0.73 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f430])).
% 1.98/0.73 fof(f432,plain,(
% 1.98/0.73 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f430])).
% 1.98/0.73 fof(f433,plain,(
% 1.98/0.73 ![W,X]: (~pd0_1(X,W)|(nil=X&nil=W))),
% 1.98/0.73 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 1.98/0.73 fof(f434,plain,(
% 1.98/0.73 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f433])).
% 1.98/0.73 fof(f435,plain,(
% 1.98/0.73 ![X0,X1]: (~pd0_1(X0,X1)|nil=X1)),
% 1.98/0.73 inference(cnf_transformation,[status(esa)],[f433])).
% 1.98/0.73 fof(f436,plain,(
% 1.98/0.73 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f437,plain,(
% 1.98/0.73 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 1.98/0.73 inference(component_clause,[status(thm)],[f436])).
% 1.98/0.73 fof(f439,plain,(
% 1.98/0.73 spl0_1 <=> neq(sk0_48,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f440,plain,(
% 1.98/0.73 neq(sk0_48,nil)|~spl0_1),
% 1.98/0.73 inference(component_clause,[status(thm)],[f439])).
% 1.98/0.73 fof(f442,plain,(
% 1.98/0.73 spl0_0|spl0_1),
% 1.98/0.73 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 1.98/0.73 fof(f443,plain,(
% 1.98/0.73 spl0_2 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f444,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_2)),
% 1.98/0.73 inference(component_clause,[status(thm)],[f443])).
% 1.98/0.73 fof(f446,plain,(
% 1.98/0.73 spl0_0|spl0_2),
% 1.98/0.73 inference(split_clause,[status(thm)],[f427,f436,f443])).
% 1.98/0.73 fof(f447,plain,(
% 1.98/0.73 spl0_3 <=> pd0_1(sk0_50,sk0_49)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f448,plain,(
% 1.98/0.73 pd0_1(sk0_50,sk0_49)|~spl0_3),
% 1.98/0.73 inference(component_clause,[status(thm)],[f447])).
% 1.98/0.73 fof(f450,plain,(
% 1.98/0.73 spl0_4 <=> neq(sk0_49,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f451,plain,(
% 1.98/0.73 neq(sk0_49,nil)|~spl0_4),
% 1.98/0.73 inference(component_clause,[status(thm)],[f450])).
% 1.98/0.73 fof(f453,plain,(
% 1.98/0.73 spl0_3|spl0_4),
% 1.98/0.73 inference(split_clause,[status(thm)],[f428,f447,f450])).
% 1.98/0.73 fof(f454,plain,(
% 1.98/0.73 spl0_5 <=> frontsegP(sk0_50,sk0_49)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f455,plain,(
% 1.98/0.73 frontsegP(sk0_50,sk0_49)|~spl0_5),
% 1.98/0.73 inference(component_clause,[status(thm)],[f454])).
% 1.98/0.73 fof(f457,plain,(
% 1.98/0.73 spl0_3|spl0_5),
% 1.98/0.73 inference(split_clause,[status(thm)],[f429,f447,f454])).
% 1.98/0.73 fof(f462,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 1.98/0.73 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 1.98/0.73 fof(f464,plain,(
% 1.98/0.73 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 1.98/0.73 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 1.98/0.73 fof(f473,plain,(
% 1.98/0.73 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 1.98/0.73 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 1.98/0.73 fof(f474,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 1.98/0.73 inference(duplicate_literals_removal,[status(esa)],[f473])).
% 1.98/0.73 fof(f477,plain,(
% 1.98/0.73 ![X1,X2,X3]: (~ssItem(X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|frontsegP(cons(X1,X2),cons(X1,X3))|~frontsegP(X2,X3))),
% 1.98/0.73 inference(destructive_equality_resolution,[status(esa)],[f293])).
% 1.98/0.73 fof(f478,plain,(
% 1.98/0.73 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|frontsegP(cons(X0,X1),cons(X0,X2))|~frontsegP(X1,X2))),
% 1.98/0.73 inference(duplicate_literals_removal,[status(esa)],[f477])).
% 1.98/0.73 fof(f488,plain,(
% 1.98/0.73 ![X0]: (~pd0_0(X0,nil))),
% 1.98/0.73 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 1.98/0.73 fof(f495,plain,(
% 1.98/0.73 app(nil,nil)=nil),
% 1.98/0.73 inference(resolution,[status(thm)],[f249,f223])).
% 1.98/0.73 fof(f496,plain,(
% 1.98/0.73 app(nil,sk0_48)=sk0_48),
% 1.98/0.73 inference(resolution,[status(thm)],[f249,f421])).
% 1.98/0.73 fof(f497,plain,(
% 1.98/0.73 app(nil,sk0_47)=sk0_47),
% 1.98/0.73 inference(resolution,[status(thm)],[f249,f420])).
% 1.98/0.73 fof(f498,plain,(
% 1.98/0.73 spl0_6 <=> ssList(nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f500,plain,(
% 1.98/0.73 ~ssList(nil)|spl0_6),
% 1.98/0.73 inference(component_clause,[status(thm)],[f498])).
% 1.98/0.73 fof(f501,plain,(
% 1.98/0.73 spl0_7 <=> frontsegP(app(nil,nil),nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f502,plain,(
% 1.98/0.73 frontsegP(app(nil,nil),nil)|~spl0_7),
% 1.98/0.73 inference(component_clause,[status(thm)],[f501])).
% 1.98/0.73 fof(f504,plain,(
% 1.98/0.73 ~ssList(nil)|~ssList(nil)|frontsegP(app(nil,nil),nil)|~ssList(nil)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f495,f462])).
% 1.98/0.73 fof(f505,plain,(
% 1.98/0.73 ~spl0_6|spl0_7),
% 1.98/0.73 inference(split_clause,[status(thm)],[f504,f498,f501])).
% 1.98/0.73 fof(f506,plain,(
% 1.98/0.73 $false|spl0_6),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f500,f223])).
% 1.98/0.73 fof(f507,plain,(
% 1.98/0.73 spl0_6),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f506])).
% 1.98/0.73 fof(f508,plain,(
% 1.98/0.73 frontsegP(nil,nil)|~spl0_7),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f495,f502])).
% 1.98/0.73 fof(f509,plain,(
% 1.98/0.73 spl0_8 <=> ssList(sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f511,plain,(
% 1.98/0.73 ~ssList(sk0_48)|spl0_8),
% 1.98/0.73 inference(component_clause,[status(thm)],[f509])).
% 1.98/0.73 fof(f512,plain,(
% 1.98/0.73 spl0_9 <=> frontsegP(app(nil,sk0_48),nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f515,plain,(
% 1.98/0.73 ~ssList(sk0_48)|~ssList(nil)|frontsegP(app(nil,sk0_48),nil)|~ssList(sk0_48)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f496,f462])).
% 1.98/0.73 fof(f516,plain,(
% 1.98/0.73 ~spl0_8|~spl0_6|spl0_9),
% 1.98/0.73 inference(split_clause,[status(thm)],[f515,f509,f498,f512])).
% 1.98/0.73 fof(f517,plain,(
% 1.98/0.73 $false|spl0_8),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f511,f421])).
% 1.98/0.73 fof(f518,plain,(
% 1.98/0.73 spl0_8),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f517])).
% 1.98/0.73 fof(f520,plain,(
% 1.98/0.73 spl0_10 <=> ssList(sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f522,plain,(
% 1.98/0.73 ~ssList(sk0_47)|spl0_10),
% 1.98/0.73 inference(component_clause,[status(thm)],[f520])).
% 1.98/0.73 fof(f523,plain,(
% 1.98/0.73 spl0_11 <=> frontsegP(app(nil,sk0_47),nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f526,plain,(
% 1.98/0.73 ~ssList(sk0_47)|~ssList(nil)|frontsegP(app(nil,sk0_47),nil)|~ssList(sk0_47)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f497,f462])).
% 1.98/0.73 fof(f527,plain,(
% 1.98/0.73 ~spl0_10|~spl0_6|spl0_11),
% 1.98/0.73 inference(split_clause,[status(thm)],[f526,f520,f498,f523])).
% 1.98/0.73 fof(f528,plain,(
% 1.98/0.73 $false|spl0_10),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f522,f420])).
% 1.98/0.73 fof(f529,plain,(
% 1.98/0.73 spl0_10),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f528])).
% 1.98/0.73 fof(f531,plain,(
% 1.98/0.73 pd0_1(sk0_48,sk0_49)|~spl0_3),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 1.98/0.73 fof(f532,plain,(
% 1.98/0.73 pd0_1(sk0_48,sk0_47)|~spl0_3),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f425,f531])).
% 1.98/0.73 fof(f533,plain,(
% 1.98/0.73 nil=sk0_47|~spl0_3),
% 1.98/0.73 inference(resolution,[status(thm)],[f532,f435])).
% 1.98/0.73 fof(f534,plain,(
% 1.98/0.73 nil=sk0_48|~spl0_3),
% 1.98/0.73 inference(resolution,[status(thm)],[f532,f434])).
% 1.98/0.73 fof(f546,plain,(
% 1.98/0.73 pd0_0(nil,sk0_47)|~spl0_3|~spl0_0),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f534,f437])).
% 1.98/0.73 fof(f547,plain,(
% 1.98/0.73 pd0_0(nil,nil)|~spl0_3|~spl0_0),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f533,f546])).
% 1.98/0.73 fof(f548,plain,(
% 1.98/0.73 $false|~spl0_3|~spl0_0),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f547,f488])).
% 1.98/0.73 fof(f549,plain,(
% 1.98/0.73 ~spl0_3|~spl0_0),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f548])).
% 1.98/0.73 fof(f550,plain,(
% 1.98/0.73 nil=sk0_48|~spl0_0),
% 1.98/0.73 inference(resolution,[status(thm)],[f437,f431])).
% 1.98/0.73 fof(f552,plain,(
% 1.98/0.73 nil=sk0_50|~spl0_0),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f550,f424])).
% 1.98/0.73 fof(f554,plain,(
% 1.98/0.73 frontsegP(nil,sk0_49)|~spl0_0|~spl0_5),
% 1.98/0.73 inference(backward_demodulation,[status(thm)],[f552,f455])).
% 1.98/0.73 fof(f556,plain,(
% 1.98/0.73 frontsegP(nil,sk0_47)|~spl0_0|~spl0_5),
% 1.98/0.73 inference(backward_demodulation,[status(thm)],[f425,f554])).
% 1.98/0.73 fof(f558,plain,(
% 1.98/0.73 neq(sk0_47,nil)|~spl0_4),
% 1.98/0.73 inference(backward_demodulation,[status(thm)],[f425,f451])).
% 1.98/0.73 fof(f559,plain,(
% 1.98/0.73 app(nil,sk0_47)=sk0_47),
% 1.98/0.73 inference(resolution,[status(thm)],[f420,f249])).
% 1.98/0.73 fof(f569,plain,(
% 1.98/0.73 neq(nil,nil)|~spl0_3|~spl0_1),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f534,f440])).
% 1.98/0.73 fof(f570,plain,(
% 1.98/0.73 ~ssList(nil)|~spl0_3|~spl0_1),
% 1.98/0.73 inference(resolution,[status(thm)],[f569,f474])).
% 1.98/0.73 fof(f571,plain,(
% 1.98/0.73 ~spl0_6|~spl0_3|~spl0_1),
% 1.98/0.73 inference(split_clause,[status(thm)],[f570,f498,f447,f439])).
% 1.98/0.73 fof(f580,plain,(
% 1.98/0.73 spl0_12 <=> frontsegP(nil,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f582,plain,(
% 1.98/0.73 ~frontsegP(nil,sk0_47)|spl0_12),
% 1.98/0.73 inference(component_clause,[status(thm)],[f580])).
% 1.98/0.73 fof(f583,plain,(
% 1.98/0.73 spl0_13 <=> nil=sk0_47),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f584,plain,(
% 1.98/0.73 nil=sk0_47|~spl0_13),
% 1.98/0.73 inference(component_clause,[status(thm)],[f583])).
% 1.98/0.73 fof(f586,plain,(
% 1.98/0.73 ~frontsegP(nil,sk0_47)|nil=sk0_47),
% 1.98/0.73 inference(resolution,[status(thm)],[f298,f420])).
% 1.98/0.73 fof(f587,plain,(
% 1.98/0.73 ~spl0_12|spl0_13),
% 1.98/0.73 inference(split_clause,[status(thm)],[f586,f580,f583])).
% 1.98/0.73 fof(f588,plain,(
% 1.98/0.73 spl0_14 <=> frontsegP(nil,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f590,plain,(
% 1.98/0.73 ~frontsegP(nil,nil)|spl0_14),
% 1.98/0.73 inference(component_clause,[status(thm)],[f588])).
% 1.98/0.73 fof(f591,plain,(
% 1.98/0.73 spl0_15 <=> nil=nil),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f594,plain,(
% 1.98/0.73 ~frontsegP(nil,nil)|nil=nil),
% 1.98/0.73 inference(resolution,[status(thm)],[f298,f223])).
% 1.98/0.73 fof(f595,plain,(
% 1.98/0.73 ~spl0_14|spl0_15),
% 1.98/0.73 inference(split_clause,[status(thm)],[f594,f588,f591])).
% 1.98/0.73 fof(f596,plain,(
% 1.98/0.73 $false|~spl0_7|spl0_14),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f590,f508])).
% 1.98/0.73 fof(f597,plain,(
% 1.98/0.73 ~spl0_7|spl0_14),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f596])).
% 1.98/0.73 fof(f598,plain,(
% 1.98/0.73 $false|~spl0_0|~spl0_5|spl0_12),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f582,f556])).
% 1.98/0.73 fof(f599,plain,(
% 1.98/0.73 ~spl0_0|~spl0_5|spl0_12),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f598])).
% 1.98/0.73 fof(f600,plain,(
% 1.98/0.73 frontsegP(sk0_50,sk0_47)|~spl0_5),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f425,f455])).
% 1.98/0.73 fof(f616,plain,(
% 1.98/0.73 spl0_18 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f617,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_18)),
% 1.98/0.73 inference(component_clause,[status(thm)],[f616])).
% 1.98/0.73 fof(f619,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f496,f464])).
% 1.98/0.73 fof(f620,plain,(
% 1.98/0.73 spl0_18|~spl0_8|~spl0_6),
% 1.98/0.73 inference(split_clause,[status(thm)],[f619,f616,f509,f498])).
% 1.98/0.73 fof(f621,plain,(
% 1.98/0.73 spl0_19 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f622,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_19)),
% 1.98/0.73 inference(component_clause,[status(thm)],[f621])).
% 1.98/0.73 fof(f624,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f559,f464])).
% 1.98/0.73 fof(f625,plain,(
% 1.98/0.73 spl0_19|~spl0_10|~spl0_6),
% 1.98/0.73 inference(split_clause,[status(thm)],[f624,f621,f520,f498])).
% 1.98/0.73 fof(f626,plain,(
% 1.98/0.73 spl0_20 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f629,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f495,f464])).
% 1.98/0.73 fof(f630,plain,(
% 1.98/0.73 spl0_20|~spl0_6),
% 1.98/0.73 inference(split_clause,[status(thm)],[f629,f626,f498])).
% 1.98/0.73 fof(f631,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_18)),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f496,f617])).
% 1.98/0.73 fof(f632,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_19)),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f559,f622])).
% 1.98/0.73 fof(f634,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|neq(X0,sk0_48)|X0=sk0_48)),
% 1.98/0.73 inference(resolution,[status(thm)],[f220,f421])).
% 1.98/0.73 fof(f635,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|neq(X0,sk0_47)|X0=sk0_47)),
% 1.98/0.73 inference(resolution,[status(thm)],[f220,f420])).
% 1.98/0.73 fof(f637,plain,(
% 1.98/0.73 app(sk0_48,nil)=sk0_48),
% 1.98/0.73 inference(resolution,[status(thm)],[f389,f421])).
% 1.98/0.73 fof(f638,plain,(
% 1.98/0.73 app(sk0_47,nil)=sk0_47),
% 1.98/0.73 inference(resolution,[status(thm)],[f389,f420])).
% 1.98/0.73 fof(f640,plain,(
% 1.98/0.73 spl0_21 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f643,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f637,f464])).
% 1.98/0.73 fof(f644,plain,(
% 1.98/0.73 spl0_21|~spl0_6|~spl0_8),
% 1.98/0.73 inference(split_clause,[status(thm)],[f643,f640,f498,f509])).
% 1.98/0.73 fof(f645,plain,(
% 1.98/0.73 spl0_22 <=> frontsegP(app(sk0_48,nil),sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f646,plain,(
% 1.98/0.73 frontsegP(app(sk0_48,nil),sk0_48)|~spl0_22),
% 1.98/0.73 inference(component_clause,[status(thm)],[f645])).
% 1.98/0.73 fof(f648,plain,(
% 1.98/0.73 ~ssList(sk0_48)|~ssList(sk0_48)|frontsegP(app(sk0_48,nil),sk0_48)|~ssList(nil)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f637,f462])).
% 1.98/0.73 fof(f649,plain,(
% 1.98/0.73 ~spl0_8|spl0_22|~spl0_6),
% 1.98/0.73 inference(split_clause,[status(thm)],[f648,f509,f645,f498])).
% 1.98/0.73 fof(f651,plain,(
% 1.98/0.73 frontsegP(sk0_48,sk0_48)|~spl0_22),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f637,f646])).
% 1.98/0.73 fof(f652,plain,(
% 1.98/0.73 spl0_23 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f655,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f638,f464])).
% 1.98/0.73 fof(f656,plain,(
% 1.98/0.73 spl0_23|~spl0_6|~spl0_10),
% 1.98/0.73 inference(split_clause,[status(thm)],[f655,f652,f498,f520])).
% 1.98/0.73 fof(f657,plain,(
% 1.98/0.73 spl0_24 <=> frontsegP(app(sk0_47,nil),sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f658,plain,(
% 1.98/0.73 frontsegP(app(sk0_47,nil),sk0_47)|~spl0_24),
% 1.98/0.73 inference(component_clause,[status(thm)],[f657])).
% 1.98/0.73 fof(f660,plain,(
% 1.98/0.73 ~ssList(sk0_47)|~ssList(sk0_47)|frontsegP(app(sk0_47,nil),sk0_47)|~ssList(nil)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f638,f462])).
% 1.98/0.73 fof(f661,plain,(
% 1.98/0.73 ~spl0_10|spl0_24|~spl0_6),
% 1.98/0.73 inference(split_clause,[status(thm)],[f660,f520,f657,f498])).
% 1.98/0.73 fof(f663,plain,(
% 1.98/0.73 frontsegP(sk0_47,sk0_47)|~spl0_24),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f638,f658])).
% 1.98/0.73 fof(f672,plain,(
% 1.98/0.73 spl0_25 <=> sk0_48=sk0_48),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f675,plain,(
% 1.98/0.73 ~ssList(sk0_48)|sk0_48=sk0_48|~ssList(sk0_48)),
% 1.98/0.73 inference(resolution,[status(thm)],[f634,f474])).
% 1.98/0.73 fof(f676,plain,(
% 1.98/0.73 ~spl0_8|spl0_25),
% 1.98/0.73 inference(split_clause,[status(thm)],[f675,f509,f672])).
% 1.98/0.73 fof(f677,plain,(
% 1.98/0.73 spl0_26 <=> sk0_47=sk0_47),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f680,plain,(
% 1.98/0.73 ~ssList(sk0_47)|sk0_47=sk0_47|~ssList(sk0_47)),
% 1.98/0.73 inference(resolution,[status(thm)],[f635,f474])).
% 1.98/0.73 fof(f681,plain,(
% 1.98/0.73 ~spl0_10|spl0_26),
% 1.98/0.73 inference(split_clause,[status(thm)],[f680,f520,f677])).
% 1.98/0.73 fof(f696,plain,(
% 1.98/0.73 neq(nil,nil)|~spl0_13|~spl0_4),
% 1.98/0.73 inference(backward_demodulation,[status(thm)],[f584,f558])).
% 1.98/0.73 fof(f702,plain,(
% 1.98/0.73 frontsegP(sk0_48,sk0_47)|~spl0_5),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f424,f600])).
% 1.98/0.73 fof(f704,plain,(
% 1.98/0.73 spl0_27 <=> segmentP(sk0_48,sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f716,plain,(
% 1.98/0.73 ~ssList(nil)|~spl0_13|~spl0_4),
% 1.98/0.73 inference(resolution,[status(thm)],[f696,f474])).
% 1.98/0.73 fof(f717,plain,(
% 1.98/0.73 ~spl0_6|~spl0_13|~spl0_4),
% 1.98/0.73 inference(split_clause,[status(thm)],[f716,f498,f583,f450])).
% 1.98/0.73 fof(f718,plain,(
% 1.98/0.73 spl0_29 <=> neq(nil,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f721,plain,(
% 1.98/0.73 spl0_30 <=> segmentP(sk0_47,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f723,plain,(
% 1.98/0.73 ~segmentP(sk0_47,nil)|spl0_30),
% 1.98/0.73 inference(component_clause,[status(thm)],[f721])).
% 1.98/0.73 fof(f724,plain,(
% 1.98/0.73 ~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_47,nil)|~ssList(sk0_48)|~spl0_2),
% 1.98/0.73 inference(resolution,[status(thm)],[f444,f323])).
% 1.98/0.73 fof(f725,plain,(
% 1.98/0.73 ~spl0_6|~spl0_29|~spl0_30|~spl0_8|~spl0_2),
% 1.98/0.73 inference(split_clause,[status(thm)],[f724,f498,f718,f721,f509,f443])).
% 1.98/0.73 fof(f736,plain,(
% 1.98/0.73 spl0_33 <=> neq(sk0_47,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f738,plain,(
% 1.98/0.73 ~neq(sk0_47,nil)|spl0_33),
% 1.98/0.73 inference(component_clause,[status(thm)],[f736])).
% 1.98/0.73 fof(f739,plain,(
% 1.98/0.73 spl0_34 <=> segmentP(sk0_48,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f742,plain,(
% 1.98/0.73 ~ssList(sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)|~ssList(sk0_47)|~spl0_2),
% 1.98/0.73 inference(resolution,[status(thm)],[f444,f319])).
% 1.98/0.73 fof(f743,plain,(
% 1.98/0.73 ~spl0_10|~spl0_33|~spl0_34|~spl0_2),
% 1.98/0.73 inference(split_clause,[status(thm)],[f742,f520,f736,f739,f443])).
% 1.98/0.73 fof(f744,plain,(
% 1.98/0.73 $false|~spl0_4|spl0_33),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f738,f558])).
% 1.98/0.73 fof(f745,plain,(
% 1.98/0.73 ~spl0_4|spl0_33),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f744])).
% 1.98/0.73 fof(f746,plain,(
% 1.98/0.73 ~ssList(sk0_47)|spl0_30),
% 1.98/0.73 inference(resolution,[status(thm)],[f723,f323])).
% 1.98/0.73 fof(f747,plain,(
% 1.98/0.73 ~spl0_10|spl0_30),
% 1.98/0.73 inference(split_clause,[status(thm)],[f746,f520,f721])).
% 1.98/0.73 fof(f752,plain,(
% 1.98/0.73 spl0_35 <=> ssList(app(sk0_48,nil))),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f754,plain,(
% 1.98/0.73 ~ssList(app(sk0_48,nil))|spl0_35),
% 1.98/0.73 inference(component_clause,[status(thm)],[f752])).
% 1.98/0.73 fof(f755,plain,(
% 1.98/0.73 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_18),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f637,f631])).
% 1.98/0.73 fof(f756,plain,(
% 1.98/0.73 ~spl0_35|spl0_27|~spl0_6|~spl0_18),
% 1.98/0.73 inference(split_clause,[status(thm)],[f755,f752,f704,f498,f616])).
% 1.98/0.73 fof(f757,plain,(
% 1.98/0.73 ~ssList(sk0_48)|spl0_35),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f637,f754])).
% 1.98/0.73 fof(f758,plain,(
% 1.98/0.73 $false|spl0_35),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f757,f421])).
% 1.98/0.73 fof(f759,plain,(
% 1.98/0.73 spl0_35),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f758])).
% 1.98/0.73 fof(f773,plain,(
% 1.98/0.73 spl0_36 <=> ssList(app(sk0_47,nil))),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f775,plain,(
% 1.98/0.73 ~ssList(app(sk0_47,nil))|spl0_36),
% 1.98/0.73 inference(component_clause,[status(thm)],[f773])).
% 1.98/0.73 fof(f776,plain,(
% 1.98/0.73 spl0_37 <=> segmentP(sk0_47,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f779,plain,(
% 1.98/0.73 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_19),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f638,f632])).
% 1.98/0.73 fof(f780,plain,(
% 1.98/0.73 ~spl0_36|spl0_37|~spl0_6|~spl0_19),
% 1.98/0.73 inference(split_clause,[status(thm)],[f779,f773,f776,f498,f621])).
% 1.98/0.73 fof(f785,plain,(
% 1.98/0.73 ~ssList(sk0_47)|spl0_36),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f638,f775])).
% 1.98/0.73 fof(f786,plain,(
% 1.98/0.73 $false|spl0_36),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f785,f420])).
% 1.98/0.73 fof(f787,plain,(
% 1.98/0.73 spl0_36),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f786])).
% 1.98/0.73 fof(f793,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,X0)|X0=sk0_47)),
% 1.98/0.73 inference(resolution,[status(thm)],[f284,f420])).
% 1.98/0.73 fof(f796,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~segmentP(X0,sk0_47)|~segmentP(sk0_47,X0)|X0=sk0_47)),
% 1.98/0.73 inference(resolution,[status(thm)],[f317,f420])).
% 1.98/0.73 fof(f797,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~segmentP(X0,sk0_48)|~segmentP(sk0_48,X0)|X0=sk0_48)),
% 1.98/0.73 inference(resolution,[status(thm)],[f317,f421])).
% 1.98/0.73 fof(f799,plain,(
% 1.98/0.73 spl0_38 <=> frontsegP(sk0_47,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f801,plain,(
% 1.98/0.73 ~frontsegP(sk0_47,sk0_47)|spl0_38),
% 1.98/0.73 inference(component_clause,[status(thm)],[f799])).
% 1.98/0.73 fof(f814,plain,(
% 1.98/0.73 spl0_41 <=> frontsegP(sk0_48,sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f816,plain,(
% 1.98/0.73 ~frontsegP(sk0_48,sk0_48)|spl0_41),
% 1.98/0.73 inference(component_clause,[status(thm)],[f814])).
% 1.98/0.73 fof(f821,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|~segmentP(sk0_47,app(sk0_47,X0))|app(sk0_47,X0)=sk0_47|~ssList(app(sk0_47,X0))|~ssList(X0)|~spl0_19)),
% 1.98/0.73 inference(resolution,[status(thm)],[f796,f632])).
% 1.98/0.73 fof(f822,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|~segmentP(sk0_47,app(sk0_47,X0))|app(sk0_47,X0)=sk0_47|~ssList(X0)|~spl0_19)),
% 1.98/0.73 inference(duplicate_literals_removal,[status(esa)],[f821])).
% 1.98/0.73 fof(f829,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_48,X0))|~segmentP(sk0_48,app(sk0_48,X0))|app(sk0_48,X0)=sk0_48|~ssList(app(sk0_48,X0))|~ssList(X0)|~spl0_18)),
% 1.98/0.73 inference(resolution,[status(thm)],[f797,f631])).
% 1.98/0.73 fof(f830,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_48,X0))|~segmentP(sk0_48,app(sk0_48,X0))|app(sk0_48,X0)=sk0_48|~ssList(X0)|~spl0_18)),
% 1.98/0.73 inference(duplicate_literals_removal,[status(esa)],[f829])).
% 1.98/0.73 fof(f844,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|frontsegP(app(X0,X1),sk0_48))),
% 1.98/0.73 inference(resolution,[status(thm)],[f288,f421])).
% 1.98/0.73 fof(f847,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,nil)|frontsegP(app(X0,X1),nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f288,f223])).
% 1.98/0.73 fof(f848,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X0,X1),nil))),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f847,f295])).
% 1.98/0.73 fof(f852,plain,(
% 1.98/0.73 spl0_42 <=> frontsegP(sk0_47,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f857,plain,(
% 1.98/0.73 spl0_43 <=> frontsegP(sk0_48,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f864,plain,(
% 1.98/0.73 spl0_44 <=> ~ssList(X0)|~frontsegP(X0,sk0_47)|frontsegP(X0,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f867,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,sk0_47)|frontsegP(X0,sk0_47))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f420])).
% 1.98/0.73 fof(f868,plain,(
% 1.98/0.73 spl0_44|~spl0_38),
% 1.98/0.73 inference(split_clause,[status(thm)],[f867,f864,f799])).
% 1.98/0.73 fof(f869,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,X1)|frontsegP(X0,X1))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f420])).
% 1.98/0.73 fof(f870,plain,(
% 1.98/0.73 spl0_45 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f873,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|~frontsegP(sk0_48,sk0_48)|frontsegP(X0,sk0_48))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f421])).
% 1.98/0.73 fof(f874,plain,(
% 1.98/0.73 spl0_45|~spl0_41),
% 1.98/0.73 inference(split_clause,[status(thm)],[f873,f870,f814])).
% 1.98/0.73 fof(f875,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|~frontsegP(sk0_48,X1)|frontsegP(X0,X1))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f421])).
% 1.98/0.73 fof(f876,plain,(
% 1.98/0.73 spl0_46 <=> ~ssList(X0)|~frontsegP(X0,nil)|frontsegP(X0,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f879,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,nil)|~frontsegP(nil,nil)|frontsegP(X0,nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f223])).
% 1.98/0.73 fof(f880,plain,(
% 1.98/0.73 spl0_46|~spl0_14),
% 1.98/0.73 inference(split_clause,[status(thm)],[f879,f876,f588])).
% 1.98/0.73 fof(f881,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,nil)|~frontsegP(nil,X1)|frontsegP(X0,X1))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f223])).
% 1.98/0.73 fof(f882,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(nil,X1)|frontsegP(X0,X1))),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f881,f295])).
% 1.98/0.73 fof(f883,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,sk0_47)|frontsegP(X0,sk0_47))),
% 1.98/0.73 inference(resolution,[status(thm)],[f282,f420])).
% 1.98/0.73 fof(f886,plain,(
% 1.98/0.73 $false|~spl0_22|spl0_41),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f816,f651])).
% 1.98/0.73 fof(f887,plain,(
% 1.98/0.73 ~spl0_22|spl0_41),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f886])).
% 1.98/0.73 fof(f888,plain,(
% 1.98/0.73 $false|~spl0_24|spl0_38),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f801,f663])).
% 1.98/0.73 fof(f889,plain,(
% 1.98/0.73 ~spl0_24|spl0_38),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f888])).
% 1.98/0.73 fof(f948,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|ssList(sk0_5(sk0_47,X0)))),
% 1.98/0.73 inference(resolution,[status(thm)],[f122,f420])).
% 1.98/0.73 fof(f952,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|app(sk0_47,sk0_5(sk0_47,X0))=X0)),
% 1.98/0.73 inference(resolution,[status(thm)],[f123,f420])).
% 1.98/0.73 fof(f953,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|app(sk0_48,sk0_5(sk0_48,X0))=X0)),
% 1.98/0.73 inference(resolution,[status(thm)],[f123,f421])).
% 1.98/0.73 fof(f988,plain,(
% 1.98/0.73 spl0_53 <=> app(sk0_47,nil)=sk0_47),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f991,plain,(
% 1.98/0.73 ~ssList(app(sk0_47,nil))|~segmentP(sk0_47,sk0_47)|app(sk0_47,nil)=sk0_47|~ssList(nil)|~spl0_19),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f638,f822])).
% 1.98/0.73 fof(f992,plain,(
% 1.98/0.73 ~spl0_36|~spl0_37|spl0_53|~spl0_6|~spl0_19),
% 1.98/0.73 inference(split_clause,[status(thm)],[f991,f773,f776,f988,f498,f621])).
% 1.98/0.73 fof(f1026,plain,(
% 1.98/0.73 spl0_54 <=> app(sk0_48,nil)=sk0_48),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1029,plain,(
% 1.98/0.73 ~ssList(app(sk0_48,nil))|~segmentP(sk0_48,sk0_48)|app(sk0_48,nil)=sk0_48|~ssList(nil)|~spl0_18),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f637,f830])).
% 1.98/0.73 fof(f1030,plain,(
% 1.98/0.73 ~spl0_35|~spl0_27|spl0_54|~spl0_6|~spl0_18),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1029,f752,f704,f1026,f498,f616])).
% 1.98/0.73 fof(f1052,plain,(
% 1.98/0.73 spl0_55 <=> ~ssList(X0)|frontsegP(app(sk0_48,X0),sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1053,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|frontsegP(app(sk0_48,X0),sk0_48)|~spl0_55)),
% 1.98/0.73 inference(component_clause,[status(thm)],[f1052])).
% 1.98/0.73 fof(f1058,plain,(
% 1.98/0.73 ![X0]: (~ssList(sk0_48)|~ssList(X0)|frontsegP(app(sk0_48,X0),sk0_48)|~ssList(sk0_48))),
% 1.98/0.73 inference(resolution,[status(thm)],[f844,f286])).
% 1.98/0.73 fof(f1059,plain,(
% 1.98/0.73 ~spl0_8|spl0_55),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1058,f509,f1052])).
% 1.98/0.73 fof(f1066,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|frontsegP(app(X0,sk0_48),nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f848,f421])).
% 1.98/0.73 fof(f1067,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|frontsegP(app(X0,sk0_47),nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f848,f420])).
% 1.98/0.73 fof(f1069,plain,(
% 1.98/0.73 ~ssList(nil)|frontsegP(sk0_48,nil)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f496,f1066])).
% 1.98/0.73 fof(f1070,plain,(
% 1.98/0.73 ~spl0_6|spl0_43),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1069,f498,f857])).
% 1.98/0.73 fof(f1071,plain,(
% 1.98/0.73 ~ssList(nil)|frontsegP(sk0_47,nil)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f559,f1067])).
% 1.98/0.73 fof(f1072,plain,(
% 1.98/0.73 ~spl0_6|spl0_42),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1071,f498,f852])).
% 1.98/0.73 fof(f1083,plain,(
% 1.98/0.73 spl0_58 <=> ~ssList(X0)|frontsegP(X0,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1086,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(nil,nil)|frontsegP(X0,nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f882,f223])).
% 1.98/0.73 fof(f1087,plain,(
% 1.98/0.73 spl0_58|~spl0_14),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1086,f1083,f588])).
% 1.98/0.73 fof(f1117,plain,(
% 1.98/0.73 spl0_59 <=> ~ssItem(X0)|~ssItem(X0)|~ssItem(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1118,plain,(
% 1.98/0.73 ![X0]: (~ssItem(X0)|~ssItem(X0)|~ssItem(X0)|~spl0_59)),
% 1.98/0.73 inference(component_clause,[status(thm)],[f1117])).
% 1.98/0.73 fof(f1120,plain,(
% 1.98/0.73 spl0_60 <=> ~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|frontsegP(X1,X2)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1123,plain,(
% 1.98/0.73 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X2)|frontsegP(X1,X2))),
% 1.98/0.73 inference(resolution,[status(thm)],[f478,f292])).
% 1.98/0.73 fof(f1124,plain,(
% 1.98/0.73 spl0_59|spl0_60),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1123,f1117,f1120])).
% 1.98/0.73 fof(f1133,plain,(
% 1.98/0.73 ![X0]: (~ssItem(X0)|~spl0_59)),
% 1.98/0.73 inference(duplicate_literals_removal,[status(esa)],[f1118])).
% 1.98/0.73 fof(f1221,plain,(
% 1.98/0.73 $false|~spl0_59),
% 1.98/0.73 inference(backward_subsumption_resolution,[status(thm)],[f104,f1133])).
% 1.98/0.73 fof(f1222,plain,(
% 1.98/0.73 ~spl0_59),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f1221])).
% 1.98/0.73 fof(f1224,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(app(sk0_48,X0))|~ssList(X1)|frontsegP(app(app(sk0_48,X0),X1),sk0_48)|~spl0_55)),
% 1.98/0.73 inference(resolution,[status(thm)],[f1053,f844])).
% 1.98/0.73 fof(f1227,plain,(
% 1.98/0.73 spl0_75 <=> ~ssList(X0)|frontsegP(app(app(sk0_48,nil),X0),sk0_48)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1230,plain,(
% 1.98/0.73 ![X0]: (~ssList(nil)|~ssList(sk0_48)|~ssList(X0)|frontsegP(app(app(sk0_48,nil),X0),sk0_48)|~spl0_55)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f637,f1224])).
% 1.98/0.73 fof(f1231,plain,(
% 1.98/0.73 ~spl0_6|~spl0_8|spl0_75|~spl0_55),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1230,f498,f509,f1227,f1052])).
% 1.98/0.73 fof(f1240,plain,(
% 1.98/0.73 spl0_76 <=> frontsegP(sk0_48,sk0_47)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1242,plain,(
% 1.98/0.73 ~frontsegP(sk0_48,sk0_47)|spl0_76),
% 1.98/0.73 inference(component_clause,[status(thm)],[f1240])).
% 1.98/0.73 fof(f1243,plain,(
% 1.98/0.73 spl0_77 <=> app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1244,plain,(
% 1.98/0.73 app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48|~spl0_77),
% 1.98/0.73 inference(component_clause,[status(thm)],[f1243])).
% 1.98/0.73 fof(f1246,plain,(
% 1.98/0.73 ~frontsegP(sk0_48,sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48),
% 1.98/0.73 inference(resolution,[status(thm)],[f952,f421])).
% 1.98/0.73 fof(f1247,plain,(
% 1.98/0.73 ~spl0_76|spl0_77),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1246,f1240,f1243])).
% 1.98/0.73 fof(f1248,plain,(
% 1.98/0.73 spl0_78 <=> app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1249,plain,(
% 1.98/0.73 app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47|~spl0_78),
% 1.98/0.73 inference(component_clause,[status(thm)],[f1248])).
% 1.98/0.73 fof(f1251,plain,(
% 1.98/0.73 ~frontsegP(sk0_47,sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 1.98/0.73 inference(resolution,[status(thm)],[f952,f420])).
% 1.98/0.73 fof(f1252,plain,(
% 1.98/0.73 ~spl0_38|spl0_78),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1251,f799,f1248])).
% 1.98/0.73 fof(f1258,plain,(
% 1.98/0.73 $false|~spl0_5|spl0_76),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1242,f702])).
% 1.98/0.73 fof(f1259,plain,(
% 1.98/0.73 ~spl0_5|spl0_76),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f1258])).
% 1.98/0.73 fof(f1263,plain,(
% 1.98/0.73 spl0_81 <=> ssList(sk0_5(sk0_47,sk0_47))),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1270,plain,(
% 1.98/0.73 spl0_82 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,sk0_5(sk0_47,sk0_47)),X0),sk0_5(sk0_47,sk0_47))|~ssList(X0)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1273,plain,(
% 1.98/0.73 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_5(sk0_47,sk0_47))|segmentP(app(app(sk0_47,sk0_5(sk0_47,sk0_47)),X0),sk0_5(sk0_47,sk0_47))|~ssList(sk0_47)|~ssList(X0)|~spl0_78)),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f1249,f464])).
% 1.98/0.73 fof(f1274,plain,(
% 1.98/0.73 spl0_82|~spl0_81|~spl0_10|~spl0_78),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1273,f1270,f1263,f520,f1248])).
% 1.98/0.73 fof(f1275,plain,(
% 1.98/0.73 spl0_83 <=> ssList(app(sk0_47,sk0_5(sk0_47,sk0_48)))),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1277,plain,(
% 1.98/0.73 ~ssList(app(sk0_47,sk0_5(sk0_47,sk0_48)))|spl0_83),
% 1.98/0.73 inference(component_clause,[status(thm)],[f1275])).
% 1.98/0.73 fof(f1281,plain,(
% 1.98/0.73 spl0_85 <=> ssList(sk0_5(sk0_47,sk0_48))),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1286,plain,(
% 1.98/0.73 ~ssList(app(sk0_47,sk0_5(sk0_47,sk0_48)))|segmentP(sk0_48,sk0_47)|~ssList(sk0_5(sk0_47,sk0_48))|~spl0_19|~spl0_77),
% 1.98/0.73 inference(paramodulation,[status(thm)],[f1244,f632])).
% 1.98/0.73 fof(f1287,plain,(
% 1.98/0.73 ~spl0_83|spl0_34|~spl0_85|~spl0_19|~spl0_77),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1286,f1275,f739,f1281,f621,f1243])).
% 1.98/0.73 fof(f1293,plain,(
% 1.98/0.73 ~ssList(sk0_48)|~spl0_77|spl0_83),
% 1.98/0.73 inference(forward_demodulation,[status(thm)],[f1244,f1277])).
% 1.98/0.73 fof(f1294,plain,(
% 1.98/0.73 $false|~spl0_77|spl0_83),
% 1.98/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1293,f421])).
% 1.98/0.73 fof(f1295,plain,(
% 1.98/0.73 ~spl0_77|spl0_83),
% 1.98/0.73 inference(contradiction_clause,[status(thm)],[f1294])).
% 1.98/0.73 fof(f1297,plain,(
% 1.98/0.73 spl0_87 <=> app(sk0_48,sk0_5(sk0_48,sk0_48))=sk0_48),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1300,plain,(
% 1.98/0.73 ~frontsegP(sk0_48,sk0_48)|app(sk0_48,sk0_5(sk0_48,sk0_48))=sk0_48),
% 1.98/0.73 inference(resolution,[status(thm)],[f953,f421])).
% 1.98/0.73 fof(f1301,plain,(
% 1.98/0.73 ~spl0_41|spl0_87),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1300,f814,f1297])).
% 1.98/0.73 fof(f1343,plain,(
% 1.98/0.73 spl0_95 <=> ~ssList(X0)|~frontsegP(X0,sk0_47)|frontsegP(X0,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1346,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,nil)|frontsegP(X0,nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f869,f223])).
% 1.98/0.73 fof(f1347,plain,(
% 1.98/0.73 spl0_95|~spl0_42),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1346,f1343,f852])).
% 1.98/0.73 fof(f1355,plain,(
% 1.98/0.73 spl0_97 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,nil)),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1358,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|~frontsegP(sk0_48,nil)|frontsegP(X0,nil))),
% 1.98/0.73 inference(resolution,[status(thm)],[f875,f223])).
% 1.98/0.73 fof(f1359,plain,(
% 1.98/0.73 spl0_97|~spl0_43),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1358,f1355,f857])).
% 1.98/0.73 fof(f1382,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,sk0_47)|~ssList(X0)|~frontsegP(sk0_47,X0)|X0=sk0_47)),
% 1.98/0.73 inference(resolution,[status(thm)],[f883,f793])).
% 1.98/0.73 fof(f1383,plain,(
% 1.98/0.73 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,sk0_47)|~frontsegP(sk0_47,X0)|X0=sk0_47)),
% 1.98/0.73 inference(duplicate_literals_removal,[status(esa)],[f1382])).
% 1.98/0.73 fof(f1404,plain,(
% 1.98/0.73 spl0_102 <=> ~ssList(X0)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,X0)|X0=sk0_47),
% 1.98/0.73 introduced(split_symbol_definition)).
% 1.98/0.73 fof(f1407,plain,(
% 1.98/0.73 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,sk0_47)|~frontsegP(sk0_47,X0)|X0=sk0_47)),
% 1.98/0.73 inference(resolution,[status(thm)],[f1383,f420])).
% 1.98/0.73 fof(f1408,plain,(
% 1.98/0.73 spl0_102|~spl0_38),
% 1.98/0.73 inference(split_clause,[status(thm)],[f1407,f1404,f799])).
% 1.98/0.73 fof(f1723,plain,(
% 2.61/0.75 ~ssList(sk0_48)|ssList(sk0_5(sk0_47,sk0_48))|~spl0_5),
% 2.61/0.75 inference(resolution,[status(thm)],[f948,f702])).
% 2.61/0.75 fof(f1724,plain,(
% 2.61/0.75 ~spl0_8|spl0_85|~spl0_5),
% 2.61/0.75 inference(split_clause,[status(thm)],[f1723,f509,f1281,f454])).
% 2.61/0.75 fof(f1731,plain,(
% 2.61/0.75 ~ssList(sk0_47)|ssList(sk0_5(sk0_47,sk0_47))|~ssList(sk0_47)),
% 2.61/0.75 inference(resolution,[status(thm)],[f948,f286])).
% 2.61/0.75 fof(f1732,plain,(
% 2.61/0.75 ~spl0_10|spl0_81),
% 2.61/0.75 inference(split_clause,[status(thm)],[f1731,f520,f1263])).
% 2.61/0.75 fof(f1733,plain,(
% 2.61/0.75 $false),
% 2.61/0.75 inference(sat_refutation,[status(thm)],[f442,f446,f453,f457,f505,f507,f516,f518,f527,f529,f549,f571,f587,f595,f597,f599,f620,f625,f630,f644,f649,f656,f661,f676,f681,f717,f725,f743,f745,f747,f756,f759,f780,f787,f868,f874,f880,f887,f889,f992,f1030,f1059,f1070,f1072,f1087,f1124,f1222,f1231,f1247,f1252,f1259,f1274,f1287,f1295,f1301,f1347,f1359,f1408,f1724,f1732])).
% 2.61/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 2.61/0.75 % Elapsed time: 0.423924 seconds
% 2.61/0.75 % CPU time: 2.655339 seconds
% 2.61/0.75 % Memory used: 73.954 MB
%------------------------------------------------------------------------------