TSTP Solution File: SWC057+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n032.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 20:44:21 EDT 2024
% Result : Theorem 7.37s 1.27s
% Output : CNFRefutation 7.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 00:14:35 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 7.37/1.27 % Refutation found
% 7.37/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.37/1.27 % SZS output start CNFRefutation for theBenchmark
% 7.37/1.27 fof(f1,axiom,(
% 7.37/1.27 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 7.37/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.27 fof(f2,axiom,(
% 7.37/1.27 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 7.37/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.27 fof(f5,axiom,(
% 7.37/1.27 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 7.37/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.27 fof(f7,axiom,(
% 7.37/1.27 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 7.37/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.27 fof(f15,axiom,(
% 7.37/1.27 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 7.37/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.27 fof(f17,axiom,(
% 7.37/1.27 ssList(nil) ),
% 7.37/1.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f26,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f28,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f40,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( frontsegP(U,V)& frontsegP(V,W) )=> frontsegP(U,W) ) ) )) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f41,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( frontsegP(U,V)& frontsegP(V,U) )=> U = V ) ) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f42,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f43,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( frontsegP(U,V)=> frontsegP(app(U,W),V) ) ) )) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f44,axiom,(
% 7.37/1.28 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( frontsegP(cons(U,W),cons(V,X))<=> ( U = V& frontsegP(W,X) ) ) ) )) )) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f45,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f46,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> ( frontsegP(nil,U)<=> nil = U ) ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f53,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( segmentP(U,V)& segmentP(V,W) )=> segmentP(U,W) ) ) )) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f55,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f57,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f84,axiom,(
% 7.37/1.28 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f96,conjecture,(
% 7.37/1.28 (! [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) ) ) ) )) )) )) )),
% 7.37/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.37/1.28 fof(f97,negated_conjecture,(
% 7.37/1.28 ~((! [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) ) ) ) )) )) )) ))),
% 7.37/1.28 inference(negated_conjecture,[status(cth)],[f96])).
% 7.37/1.28 fof(f98,plain,(
% 7.37/1.28 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.37/1.28 fof(f99,plain,(
% 7.37/1.28 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 7.37/1.28 inference(NNF_transformation,[status(esa)],[f98])).
% 7.37/1.28 fof(f100,plain,(
% 7.37/1.28 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f99])).
% 7.37/1.28 fof(f101,plain,(
% 7.37/1.28 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f99])).
% 7.37/1.28 fof(f102,plain,(
% 7.37/1.28 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 7.37/1.28 inference(skolemization,[status(esa)],[f2])).
% 7.37/1.28 fof(f103,plain,(
% 7.37/1.28 ssItem(sk0_0)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f102])).
% 7.37/1.28 fof(f104,plain,(
% 7.37/1.28 ssItem(sk0_1)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f102])).
% 7.37/1.28 fof(f119,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 7.37/1.28 fof(f120,plain,(
% 7.37/1.28 ![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)))))))),
% 7.37/1.28 inference(NNF_transformation,[status(esa)],[f119])).
% 7.37/1.28 fof(f121,plain,(
% 7.37/1.28 ![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)))))))),
% 7.37/1.28 inference(skolemization,[status(esa)],[f120])).
% 7.37/1.28 fof(f122,plain,(
% 7.37/1.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f121])).
% 7.37/1.28 fof(f123,plain,(
% 7.37/1.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f121])).
% 7.37/1.28 fof(f124,plain,(
% 7.37/1.28 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f121])).
% 7.37/1.28 fof(f131,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.37/1.28 fof(f132,plain,(
% 7.37/1.28 ![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)))))))))),
% 7.37/1.28 inference(NNF_transformation,[status(esa)],[f131])).
% 7.37/1.28 fof(f133,plain,(
% 7.37/1.28 ![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)))))))))),
% 7.37/1.28 inference(skolemization,[status(esa)],[f132])).
% 7.37/1.28 fof(f137,plain,(
% 7.37/1.28 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f133])).
% 7.37/1.28 fof(f217,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 7.37/1.28 fof(f218,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 7.37/1.28 inference(NNF_transformation,[status(esa)],[f217])).
% 7.37/1.28 fof(f219,plain,(
% 7.37/1.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f218])).
% 7.37/1.28 fof(f220,plain,(
% 7.37/1.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f218])).
% 7.37/1.28 fof(f223,plain,(
% 7.37/1.28 ssList(nil)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f17])).
% 7.37/1.28 fof(f244,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 7.37/1.28 fof(f245,plain,(
% 7.37/1.28 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f244])).
% 7.37/1.28 fof(f248,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|app(nil,U)=U)),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 7.37/1.28 fof(f249,plain,(
% 7.37/1.28 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 7.37/1.28 inference(cnf_transformation,[status(esa)],[f248])).
% 7.37/1.28 fof(f281,plain,(
% 7.37/1.28 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~frontsegP(U,V)|~frontsegP(V,W))|frontsegP(U,W)))))))),
% 7.37/1.28 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 7.37/1.28 fof(f282,plain,(
% 7.37/1.28 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|frontsegP(X0,X2))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f281])).
% 7.37/1.29 fof(f283,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|~frontsegP(V,U))|U=V))))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 7.37/1.29 fof(f284,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,X0)|X0=X1)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f283])).
% 7.37/1.29 fof(f285,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|frontsegP(U,U))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 7.37/1.29 fof(f286,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f285])).
% 7.37/1.29 fof(f287,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~frontsegP(U,V)|frontsegP(app(U,W),V)))))))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 7.37/1.29 fof(f288,plain,(
% 7.37/1.29 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|frontsegP(app(X0,X2),X1))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f287])).
% 7.37/1.29 fof(f289,plain,(
% 7.37/1.29 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(frontsegP(cons(U,W),cons(V,X))<=>(U=V&frontsegP(W,X))))))))))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 7.37/1.29 fof(f290,plain,(
% 7.37/1.29 ![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)))))))))))),
% 7.37/1.29 inference(NNF_transformation,[status(esa)],[f289])).
% 7.37/1.29 fof(f292,plain,(
% 7.37/1.29 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~frontsegP(cons(X0,X2),cons(X1,X3))|frontsegP(X2,X3))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f290])).
% 7.37/1.29 fof(f293,plain,(
% 7.37/1.29 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|frontsegP(cons(X0,X2),cons(X1,X3))|~X0=X1|~frontsegP(X2,X3))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f290])).
% 7.37/1.29 fof(f294,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 7.37/1.29 fof(f295,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f294])).
% 7.37/1.29 fof(f296,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|(frontsegP(nil,U)<=>nil=U))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 7.37/1.29 fof(f297,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|((~frontsegP(nil,U)|nil=U)&(frontsegP(nil,U)|~nil=U)))),
% 7.37/1.29 inference(NNF_transformation,[status(esa)],[f296])).
% 7.37/1.29 fof(f298,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f297])).
% 7.37/1.29 fof(f314,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~segmentP(U,V)|~segmentP(V,W))|segmentP(U,W)))))))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 7.37/1.29 fof(f315,plain,(
% 7.37/1.29 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|segmentP(X0,X2))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f314])).
% 7.37/1.29 fof(f318,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|segmentP(U,U))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 7.37/1.29 fof(f319,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f318])).
% 7.37/1.29 fof(f322,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|segmentP(U,nil))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 7.37/1.29 fof(f323,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f322])).
% 7.37/1.29 fof(f388,plain,(
% 7.37/1.29 ![U]: (~ssList(U)|app(U,nil)=U)),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 7.37/1.29 fof(f389,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f388])).
% 7.37/1.29 fof(f415,plain,(
% 7.37/1.29 (?[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)))))))))))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 7.37/1.29 fof(f416,plain,(
% 7.37/1.29 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 7.37/1.29 introduced(predicate_definition,[f415])).
% 7.37/1.29 fof(f417,plain,(
% 7.37/1.29 ![W,X]: (pd0_1(X,W)=>(nil=X&nil=W))),
% 7.37/1.29 introduced(predicate_definition,[f415])).
% 7.37/1.29 fof(f418,plain,(
% 7.37/1.29 ?[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))))))))))),
% 7.37/1.29 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 7.37/1.29 fof(f419,plain,(
% 7.37/1.29 (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)))))))),
% 7.37/1.29 inference(skolemization,[status(esa)],[f418])).
% 7.37/1.29 fof(f420,plain,(
% 7.37/1.29 ssList(sk0_47)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f421,plain,(
% 7.37/1.29 ssList(sk0_48)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f424,plain,(
% 7.37/1.29 sk0_48=sk0_50),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f425,plain,(
% 7.37/1.29 sk0_47=sk0_49),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f426,plain,(
% 7.37/1.29 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f427,plain,(
% 7.37/1.29 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f428,plain,(
% 7.37/1.29 pd0_1(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f429,plain,(
% 7.37/1.29 pd0_1(sk0_50,sk0_49)|frontsegP(sk0_50,sk0_49)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f419])).
% 7.37/1.29 fof(f430,plain,(
% 7.37/1.29 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 7.37/1.29 fof(f431,plain,(
% 7.37/1.29 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f430])).
% 7.37/1.29 fof(f432,plain,(
% 7.37/1.29 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f430])).
% 7.37/1.29 fof(f433,plain,(
% 7.37/1.29 ![W,X]: (~pd0_1(X,W)|(nil=X&nil=W))),
% 7.37/1.29 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 7.37/1.29 fof(f434,plain,(
% 7.37/1.29 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f433])).
% 7.37/1.29 fof(f435,plain,(
% 7.37/1.29 ![X0,X1]: (~pd0_1(X0,X1)|nil=X1)),
% 7.37/1.29 inference(cnf_transformation,[status(esa)],[f433])).
% 7.37/1.29 fof(f436,plain,(
% 7.37/1.29 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f437,plain,(
% 7.37/1.29 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 7.37/1.29 inference(component_clause,[status(thm)],[f436])).
% 7.37/1.29 fof(f439,plain,(
% 7.37/1.29 spl0_1 <=> neq(sk0_48,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f440,plain,(
% 7.37/1.29 neq(sk0_48,nil)|~spl0_1),
% 7.37/1.29 inference(component_clause,[status(thm)],[f439])).
% 7.37/1.29 fof(f442,plain,(
% 7.37/1.29 spl0_0|spl0_1),
% 7.37/1.29 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 7.37/1.29 fof(f443,plain,(
% 7.37/1.29 spl0_2 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f444,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_2)),
% 7.37/1.29 inference(component_clause,[status(thm)],[f443])).
% 7.37/1.29 fof(f446,plain,(
% 7.37/1.29 spl0_0|spl0_2),
% 7.37/1.29 inference(split_clause,[status(thm)],[f427,f436,f443])).
% 7.37/1.29 fof(f447,plain,(
% 7.37/1.29 spl0_3 <=> pd0_1(sk0_50,sk0_49)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f448,plain,(
% 7.37/1.29 pd0_1(sk0_50,sk0_49)|~spl0_3),
% 7.37/1.29 inference(component_clause,[status(thm)],[f447])).
% 7.37/1.29 fof(f450,plain,(
% 7.37/1.29 spl0_4 <=> neq(sk0_49,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f451,plain,(
% 7.37/1.29 neq(sk0_49,nil)|~spl0_4),
% 7.37/1.29 inference(component_clause,[status(thm)],[f450])).
% 7.37/1.29 fof(f453,plain,(
% 7.37/1.29 spl0_3|spl0_4),
% 7.37/1.29 inference(split_clause,[status(thm)],[f428,f447,f450])).
% 7.37/1.29 fof(f454,plain,(
% 7.37/1.29 spl0_5 <=> frontsegP(sk0_50,sk0_49)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f455,plain,(
% 7.37/1.29 frontsegP(sk0_50,sk0_49)|~spl0_5),
% 7.37/1.29 inference(component_clause,[status(thm)],[f454])).
% 7.37/1.29 fof(f457,plain,(
% 7.37/1.29 spl0_3|spl0_5),
% 7.37/1.29 inference(split_clause,[status(thm)],[f429,f447,f454])).
% 7.37/1.29 fof(f458,plain,(
% 7.37/1.29 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 7.37/1.29 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 7.37/1.29 fof(f459,plain,(
% 7.37/1.29 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 7.37/1.29 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 7.37/1.29 fof(f462,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 7.37/1.29 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 7.37/1.29 fof(f464,plain,(
% 7.37/1.29 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 7.37/1.29 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 7.37/1.29 fof(f473,plain,(
% 7.37/1.29 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 7.37/1.29 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 7.37/1.29 fof(f474,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 7.37/1.29 inference(duplicate_literals_removal,[status(esa)],[f473])).
% 7.37/1.29 fof(f477,plain,(
% 7.37/1.29 ![X1,X2,X3]: (~ssItem(X1)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|frontsegP(cons(X1,X2),cons(X1,X3))|~frontsegP(X2,X3))),
% 7.37/1.29 inference(destructive_equality_resolution,[status(esa)],[f293])).
% 7.37/1.29 fof(f478,plain,(
% 7.37/1.29 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|frontsegP(cons(X0,X1),cons(X0,X2))|~frontsegP(X1,X2))),
% 7.37/1.29 inference(duplicate_literals_removal,[status(esa)],[f477])).
% 7.37/1.29 fof(f488,plain,(
% 7.37/1.29 ![X0]: (~pd0_0(X0,nil))),
% 7.37/1.29 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 7.37/1.29 fof(f489,plain,(
% 7.37/1.29 pd0_1(sk0_48,sk0_49)|~spl0_3),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 7.37/1.29 fof(f490,plain,(
% 7.37/1.29 pd0_1(sk0_48,sk0_47)|~spl0_3),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f425,f489])).
% 7.37/1.29 fof(f492,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 7.37/1.29 inference(backward_subsumption_resolution,[status(thm)],[f462,f245])).
% 7.37/1.29 fof(f495,plain,(
% 7.37/1.29 ~neq(nil,nil)),
% 7.37/1.29 inference(resolution,[status(thm)],[f474,f223])).
% 7.37/1.29 fof(f496,plain,(
% 7.37/1.29 ~neq(sk0_48,sk0_48)),
% 7.37/1.29 inference(resolution,[status(thm)],[f474,f421])).
% 7.37/1.29 fof(f497,plain,(
% 7.37/1.29 ~neq(sk0_47,sk0_47)),
% 7.37/1.29 inference(resolution,[status(thm)],[f474,f420])).
% 7.37/1.29 fof(f498,plain,(
% 7.37/1.29 frontsegP(nil,nil)),
% 7.37/1.29 inference(resolution,[status(thm)],[f286,f223])).
% 7.37/1.29 fof(f499,plain,(
% 7.37/1.29 frontsegP(sk0_48,sk0_48)),
% 7.37/1.29 inference(resolution,[status(thm)],[f286,f421])).
% 7.37/1.29 fof(f500,plain,(
% 7.37/1.29 frontsegP(sk0_47,sk0_47)),
% 7.37/1.29 inference(resolution,[status(thm)],[f286,f420])).
% 7.37/1.29 fof(f501,plain,(
% 7.37/1.29 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 7.37/1.29 inference(resolution,[status(thm)],[f103,f101])).
% 7.37/1.29 fof(f502,plain,(
% 7.37/1.29 ~neq(sk0_0,sk0_0)),
% 7.37/1.29 inference(resolution,[status(thm)],[f103,f459])).
% 7.37/1.29 fof(f503,plain,(
% 7.37/1.29 ![X0]: (~ssItem(X0)|neq(X0,sk0_1)|X0=sk0_1)),
% 7.37/1.29 inference(resolution,[status(thm)],[f104,f101])).
% 7.37/1.29 fof(f504,plain,(
% 7.37/1.29 ~neq(sk0_1,sk0_1)),
% 7.37/1.29 inference(resolution,[status(thm)],[f104,f459])).
% 7.37/1.29 fof(f516,plain,(
% 7.37/1.29 nil=sk0_48|~spl0_0),
% 7.37/1.29 inference(resolution,[status(thm)],[f437,f431])).
% 7.37/1.29 fof(f517,plain,(
% 7.37/1.29 pd0_0(nil,sk0_47)|~spl0_0),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f516,f437])).
% 7.37/1.29 fof(f518,plain,(
% 7.37/1.29 pd0_1(nil,sk0_47)|~spl0_0|~spl0_3),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f516,f490])).
% 7.37/1.29 fof(f530,plain,(
% 7.37/1.29 nil=sk0_47|~spl0_0|~spl0_3),
% 7.37/1.29 inference(resolution,[status(thm)],[f435,f518])).
% 7.37/1.29 fof(f532,plain,(
% 7.37/1.29 pd0_0(nil,nil)|~spl0_3|~spl0_0),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f530,f517])).
% 7.37/1.29 fof(f533,plain,(
% 7.37/1.29 $false|~spl0_3|~spl0_0),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f532,f488])).
% 7.37/1.29 fof(f534,plain,(
% 7.37/1.29 ~spl0_3|~spl0_0),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f533])).
% 7.37/1.29 fof(f536,plain,(
% 7.37/1.29 frontsegP(sk0_50,sk0_47)|~spl0_5),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f425,f455])).
% 7.37/1.29 fof(f537,plain,(
% 7.37/1.29 neq(sk0_47,nil)|~spl0_4),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f425,f451])).
% 7.37/1.29 fof(f541,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|neq(X0,sk0_47)|X0=sk0_47)),
% 7.37/1.29 inference(resolution,[status(thm)],[f220,f420])).
% 7.37/1.29 fof(f545,plain,(
% 7.37/1.29 spl0_6 <=> ssList(sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f547,plain,(
% 7.37/1.29 ~ssList(sk0_47)|spl0_6),
% 7.37/1.29 inference(component_clause,[status(thm)],[f545])).
% 7.37/1.29 fof(f548,plain,(
% 7.37/1.29 spl0_7 <=> sk0_47=sk0_47),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f551,plain,(
% 7.37/1.29 ~ssList(sk0_47)|sk0_47=sk0_47),
% 7.37/1.29 inference(resolution,[status(thm)],[f541,f497])).
% 7.37/1.29 fof(f552,plain,(
% 7.37/1.29 ~spl0_6|spl0_7),
% 7.37/1.29 inference(split_clause,[status(thm)],[f551,f545,f548])).
% 7.37/1.29 fof(f553,plain,(
% 7.37/1.29 $false|spl0_6),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f547,f420])).
% 7.37/1.29 fof(f554,plain,(
% 7.37/1.29 spl0_6),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f553])).
% 7.37/1.29 fof(f556,plain,(
% 7.37/1.29 nil=sk0_48|~spl0_3),
% 7.37/1.29 inference(resolution,[status(thm)],[f490,f434])).
% 7.37/1.29 fof(f577,plain,(
% 7.37/1.29 neq(nil,nil)|~spl0_3|~spl0_1),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f556,f440])).
% 7.37/1.29 fof(f578,plain,(
% 7.37/1.29 $false|~spl0_3|~spl0_1),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f577,f495])).
% 7.37/1.29 fof(f579,plain,(
% 7.37/1.29 ~spl0_3|~spl0_1),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f578])).
% 7.37/1.29 fof(f585,plain,(
% 7.37/1.29 nil=sk0_50|~spl0_0),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f516,f424])).
% 7.37/1.29 fof(f591,plain,(
% 7.37/1.29 frontsegP(nil,sk0_47)|~spl0_0|~spl0_5),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f585,f536])).
% 7.37/1.29 fof(f599,plain,(
% 7.37/1.29 frontsegP(sk0_48,sk0_47)|~spl0_5),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f424,f536])).
% 7.37/1.29 fof(f600,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|neq(X0,sk0_48)|X0=sk0_48)),
% 7.37/1.29 inference(resolution,[status(thm)],[f421,f220])).
% 7.37/1.29 fof(f604,plain,(
% 7.37/1.29 spl0_8 <=> ssList(sk0_48)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f606,plain,(
% 7.37/1.29 ~ssList(sk0_48)|spl0_8),
% 7.37/1.29 inference(component_clause,[status(thm)],[f604])).
% 7.37/1.29 fof(f607,plain,(
% 7.37/1.29 spl0_9 <=> sk0_48=sk0_48),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f610,plain,(
% 7.37/1.29 ~ssList(sk0_48)|sk0_48=sk0_48),
% 7.37/1.29 inference(resolution,[status(thm)],[f600,f496])).
% 7.37/1.29 fof(f611,plain,(
% 7.37/1.29 ~spl0_8|spl0_9),
% 7.37/1.29 inference(split_clause,[status(thm)],[f610,f604,f607])).
% 7.37/1.29 fof(f612,plain,(
% 7.37/1.29 $false|spl0_8),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f606,f421])).
% 7.37/1.29 fof(f613,plain,(
% 7.37/1.29 spl0_8),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f612])).
% 7.37/1.29 fof(f631,plain,(
% 7.37/1.29 segmentP(sk0_47,sk0_47)),
% 7.37/1.29 inference(resolution,[status(thm)],[f319,f420])).
% 7.37/1.29 fof(f634,plain,(
% 7.37/1.29 segmentP(nil,nil)),
% 7.37/1.29 inference(resolution,[status(thm)],[f319,f223])).
% 7.37/1.29 fof(f635,plain,(
% 7.37/1.29 spl0_10 <=> ssList(nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f637,plain,(
% 7.37/1.29 ~ssList(nil)|spl0_10),
% 7.37/1.29 inference(component_clause,[status(thm)],[f635])).
% 7.37/1.29 fof(f638,plain,(
% 7.37/1.29 spl0_11 <=> nil=nil),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f641,plain,(
% 7.37/1.29 ~ssList(nil)|nil=nil),
% 7.37/1.29 inference(resolution,[status(thm)],[f298,f498])).
% 7.37/1.29 fof(f642,plain,(
% 7.37/1.29 ~spl0_10|spl0_11),
% 7.37/1.29 inference(split_clause,[status(thm)],[f641,f635,f638])).
% 7.37/1.29 fof(f645,plain,(
% 7.37/1.29 $false|spl0_10),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f637,f223])).
% 7.37/1.29 fof(f646,plain,(
% 7.37/1.29 spl0_10),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f645])).
% 7.37/1.29 fof(f651,plain,(
% 7.37/1.29 spl0_12 <=> ssItem(sk0_0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f653,plain,(
% 7.37/1.29 ~ssItem(sk0_0)|spl0_12),
% 7.37/1.29 inference(component_clause,[status(thm)],[f651])).
% 7.37/1.29 fof(f654,plain,(
% 7.37/1.29 spl0_13 <=> sk0_0=sk0_0),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f657,plain,(
% 7.37/1.29 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 7.37/1.29 inference(resolution,[status(thm)],[f501,f502])).
% 7.37/1.29 fof(f658,plain,(
% 7.37/1.29 ~spl0_12|spl0_13),
% 7.37/1.29 inference(split_clause,[status(thm)],[f657,f651,f654])).
% 7.37/1.29 fof(f659,plain,(
% 7.37/1.29 $false|spl0_12),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f653,f103])).
% 7.37/1.29 fof(f660,plain,(
% 7.37/1.29 spl0_12),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f659])).
% 7.37/1.29 fof(f661,plain,(
% 7.37/1.29 spl0_14 <=> ssItem(sk0_1)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f663,plain,(
% 7.37/1.29 ~ssItem(sk0_1)|spl0_14),
% 7.37/1.29 inference(component_clause,[status(thm)],[f661])).
% 7.37/1.29 fof(f664,plain,(
% 7.37/1.29 spl0_15 <=> sk0_1=sk0_1),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f667,plain,(
% 7.37/1.29 ~ssItem(sk0_1)|sk0_1=sk0_1),
% 7.37/1.29 inference(resolution,[status(thm)],[f503,f504])).
% 7.37/1.29 fof(f668,plain,(
% 7.37/1.29 ~spl0_14|spl0_15),
% 7.37/1.29 inference(split_clause,[status(thm)],[f667,f661,f664])).
% 7.37/1.29 fof(f669,plain,(
% 7.37/1.29 $false|spl0_14),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f663,f104])).
% 7.37/1.29 fof(f670,plain,(
% 7.37/1.29 spl0_14),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f669])).
% 7.37/1.29 fof(f673,plain,(
% 7.37/1.29 spl0_16 <=> ~ssList(X0)|~frontsegP(X0,sk0_47)|frontsegP(X0,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f676,plain,(
% 7.37/1.29 spl0_17 <=> frontsegP(sk0_47,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f678,plain,(
% 7.37/1.29 ~frontsegP(sk0_47,sk0_47)|spl0_17),
% 7.37/1.29 inference(component_clause,[status(thm)],[f676])).
% 7.37/1.29 fof(f681,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,X1)|frontsegP(X0,X1))),
% 7.37/1.29 inference(resolution,[status(thm)],[f282,f420])).
% 7.37/1.29 fof(f684,plain,(
% 7.37/1.29 spl0_18 <=> ~ssList(X0)|~frontsegP(X0,nil)|frontsegP(X0,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f687,plain,(
% 7.37/1.29 spl0_19 <=> frontsegP(nil,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f689,plain,(
% 7.37/1.29 ~frontsegP(nil,nil)|spl0_19),
% 7.37/1.29 inference(component_clause,[status(thm)],[f687])).
% 7.37/1.29 fof(f690,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(X0,nil)|~frontsegP(nil,nil)|frontsegP(X0,nil))),
% 7.37/1.29 inference(resolution,[status(thm)],[f282,f223])).
% 7.37/1.29 fof(f691,plain,(
% 7.37/1.29 spl0_18|~spl0_19),
% 7.37/1.29 inference(split_clause,[status(thm)],[f690,f684,f687])).
% 7.37/1.29 fof(f694,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,sk0_47)|frontsegP(X0,sk0_47))),
% 7.37/1.29 inference(resolution,[status(thm)],[f282,f420])).
% 7.37/1.29 fof(f698,plain,(
% 7.37/1.29 $false|spl0_19),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f689,f498])).
% 7.37/1.29 fof(f699,plain,(
% 7.37/1.29 spl0_19),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f698])).
% 7.37/1.29 fof(f700,plain,(
% 7.37/1.29 $false|spl0_17),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f678,f500])).
% 7.37/1.29 fof(f701,plain,(
% 7.37/1.29 spl0_17),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f700])).
% 7.37/1.29 fof(f702,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|~frontsegP(sk0_47,X0)|X0=sk0_47)),
% 7.37/1.29 inference(resolution,[status(thm)],[f284,f420])).
% 7.37/1.29 fof(f714,plain,(
% 7.37/1.29 app(nil,sk0_47)=sk0_47),
% 7.37/1.29 inference(resolution,[status(thm)],[f249,f420])).
% 7.37/1.29 fof(f717,plain,(
% 7.37/1.29 app(nil,nil)=nil),
% 7.37/1.29 inference(resolution,[status(thm)],[f249,f223])).
% 7.37/1.29 fof(f718,plain,(
% 7.37/1.29 spl0_20 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f719,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_20)),
% 7.37/1.29 inference(component_clause,[status(thm)],[f718])).
% 7.37/1.29 fof(f721,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f714,f464])).
% 7.37/1.29 fof(f722,plain,(
% 7.37/1.29 spl0_20|~spl0_6|~spl0_10),
% 7.37/1.29 inference(split_clause,[status(thm)],[f721,f718,f545,f635])).
% 7.37/1.29 fof(f723,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_20)),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f714,f719])).
% 7.37/1.29 fof(f724,plain,(
% 7.37/1.29 spl0_21 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f727,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f717,f464])).
% 7.37/1.29 fof(f728,plain,(
% 7.37/1.29 spl0_21|~spl0_10),
% 7.37/1.29 inference(split_clause,[status(thm)],[f727,f724,f635])).
% 7.37/1.29 fof(f735,plain,(
% 7.37/1.29 spl0_22 <=> nil=sk0_47),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f736,plain,(
% 7.37/1.29 nil=sk0_47|~spl0_22),
% 7.37/1.29 inference(component_clause,[status(thm)],[f735])).
% 7.37/1.29 fof(f738,plain,(
% 7.37/1.29 ~ssList(sk0_47)|nil=sk0_47|~spl0_0|~spl0_5),
% 7.37/1.29 inference(resolution,[status(thm)],[f591,f298])).
% 7.37/1.29 fof(f739,plain,(
% 7.37/1.29 ~spl0_6|spl0_22|~spl0_0|~spl0_5),
% 7.37/1.29 inference(split_clause,[status(thm)],[f738,f545,f735,f436,f454])).
% 7.37/1.29 fof(f742,plain,(
% 7.37/1.29 pd0_0(nil,nil)|~spl0_22|~spl0_0),
% 7.37/1.29 inference(backward_demodulation,[status(thm)],[f736,f517])).
% 7.37/1.29 fof(f743,plain,(
% 7.37/1.29 $false|~spl0_22|~spl0_0),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f742,f488])).
% 7.37/1.29 fof(f744,plain,(
% 7.37/1.29 ~spl0_22|~spl0_0),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f743])).
% 7.37/1.29 fof(f745,plain,(
% 7.37/1.29 spl0_23 <=> neq(nil,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f748,plain,(
% 7.37/1.29 spl0_24 <=> segmentP(sk0_47,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f750,plain,(
% 7.37/1.29 ~segmentP(sk0_47,nil)|spl0_24),
% 7.37/1.29 inference(component_clause,[status(thm)],[f748])).
% 7.37/1.29 fof(f751,plain,(
% 7.37/1.29 ~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_47,nil)|~ssList(sk0_48)|~spl0_2),
% 7.37/1.29 inference(resolution,[status(thm)],[f444,f323])).
% 7.37/1.29 fof(f752,plain,(
% 7.37/1.29 ~spl0_10|~spl0_23|~spl0_24|~spl0_8|~spl0_2),
% 7.37/1.29 inference(split_clause,[status(thm)],[f751,f635,f745,f748,f604,f443])).
% 7.37/1.29 fof(f758,plain,(
% 7.37/1.29 ~ssList(sk0_47)|spl0_24),
% 7.37/1.29 inference(resolution,[status(thm)],[f750,f323])).
% 7.37/1.29 fof(f759,plain,(
% 7.37/1.29 ~spl0_6|spl0_24),
% 7.37/1.29 inference(split_clause,[status(thm)],[f758,f545,f748])).
% 7.37/1.29 fof(f762,plain,(
% 7.37/1.29 app(nil,sk0_48)=sk0_48),
% 7.37/1.29 inference(resolution,[status(thm)],[f421,f249])).
% 7.37/1.29 fof(f765,plain,(
% 7.37/1.29 spl0_26 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_48)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f768,plain,(
% 7.37/1.29 spl0_27 <=> frontsegP(sk0_48,sk0_48)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f770,plain,(
% 7.37/1.29 ~frontsegP(sk0_48,sk0_48)|spl0_27),
% 7.37/1.29 inference(component_clause,[status(thm)],[f768])).
% 7.37/1.29 fof(f773,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,sk0_48)|frontsegP(X0,sk0_48))),
% 7.37/1.29 inference(resolution,[status(thm)],[f421,f282])).
% 7.37/1.29 fof(f776,plain,(
% 7.37/1.29 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,sk0_48)|~frontsegP(sk0_48,X1)|frontsegP(X0,X1))),
% 7.37/1.29 inference(resolution,[status(thm)],[f421,f282])).
% 7.37/1.29 fof(f777,plain,(
% 7.37/1.29 segmentP(sk0_48,sk0_48)),
% 7.37/1.29 inference(resolution,[status(thm)],[f421,f319])).
% 7.37/1.29 fof(f782,plain,(
% 7.37/1.29 $false|spl0_27),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f770,f499])).
% 7.37/1.29 fof(f783,plain,(
% 7.37/1.29 spl0_27),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f782])).
% 7.37/1.29 fof(f800,plain,(
% 7.37/1.29 spl0_28 <=> neq(sk0_47,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f802,plain,(
% 7.37/1.29 ~neq(sk0_47,nil)|spl0_28),
% 7.37/1.29 inference(component_clause,[status(thm)],[f800])).
% 7.37/1.29 fof(f803,plain,(
% 7.37/1.29 spl0_29 <=> segmentP(sk0_48,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f806,plain,(
% 7.37/1.29 ~ssList(sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)|~spl0_2),
% 7.37/1.29 inference(resolution,[status(thm)],[f631,f444])).
% 7.37/1.29 fof(f807,plain,(
% 7.37/1.29 ~spl0_6|~spl0_28|~spl0_29|~spl0_2),
% 7.37/1.29 inference(split_clause,[status(thm)],[f806,f545,f800,f803,f443])).
% 7.37/1.29 fof(f808,plain,(
% 7.37/1.29 $false|~spl0_4|spl0_28),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f802,f537])).
% 7.37/1.29 fof(f809,plain,(
% 7.37/1.29 ~spl0_4|spl0_28),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f808])).
% 7.37/1.29 fof(f817,plain,(
% 7.37/1.29 spl0_31 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f818,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_31)),
% 7.37/1.29 inference(component_clause,[status(thm)],[f817])).
% 7.37/1.29 fof(f820,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f762,f464])).
% 7.37/1.29 fof(f821,plain,(
% 7.37/1.29 spl0_31|~spl0_8|~spl0_10),
% 7.37/1.29 inference(split_clause,[status(thm)],[f820,f817,f604,f635])).
% 7.37/1.29 fof(f822,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_31)),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f762,f818])).
% 7.37/1.29 fof(f827,plain,(
% 7.37/1.29 spl0_32 <=> frontsegP(nil,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f850,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~frontsegP(X0,sk0_47)|frontsegP(X0,sk0_47))),
% 7.37/1.29 inference(resolution,[status(thm)],[f694,f500])).
% 7.37/1.29 fof(f851,plain,(
% 7.37/1.29 spl0_16|~spl0_6),
% 7.37/1.29 inference(split_clause,[status(thm)],[f850,f673,f545])).
% 7.37/1.29 fof(f852,plain,(
% 7.37/1.29 spl0_37 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f853,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_47)|~spl0_37)),
% 7.37/1.29 inference(component_clause,[status(thm)],[f852])).
% 7.37/1.29 fof(f855,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_47)|~spl0_5)),
% 7.37/1.29 inference(resolution,[status(thm)],[f694,f599])).
% 7.37/1.29 fof(f856,plain,(
% 7.37/1.29 spl0_37|~spl0_8|~spl0_5),
% 7.37/1.29 inference(split_clause,[status(thm)],[f855,f852,f604,f454])).
% 7.37/1.29 fof(f859,plain,(
% 7.37/1.29 spl0_38 <=> ~ssList(X0)|~frontsegP(X0,sk0_47)|frontsegP(X0,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f864,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~frontsegP(X0,sk0_48)|frontsegP(X0,sk0_48))),
% 7.37/1.29 inference(resolution,[status(thm)],[f773,f499])).
% 7.37/1.29 fof(f865,plain,(
% 7.37/1.29 spl0_26|~spl0_8),
% 7.37/1.29 inference(split_clause,[status(thm)],[f864,f765,f604])).
% 7.37/1.29 fof(f870,plain,(
% 7.37/1.29 spl0_39 <=> ~ssList(X0)|~frontsegP(X0,sk0_48)|frontsegP(X0,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f883,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(X0,nil)|frontsegP(app(X0,nil),nil))),
% 7.37/1.29 inference(resolution,[status(thm)],[f288,f223])).
% 7.37/1.29 fof(f884,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|frontsegP(app(X0,nil),nil))),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f883,f295])).
% 7.37/1.29 fof(f894,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|frontsegP(app(X0,sk0_47),X0))),
% 7.37/1.29 inference(resolution,[status(thm)],[f492,f420])).
% 7.37/1.29 fof(f895,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|frontsegP(app(X0,sk0_48),X0))),
% 7.37/1.29 inference(resolution,[status(thm)],[f492,f421])).
% 7.37/1.29 fof(f903,plain,(
% 7.37/1.29 frontsegP(app(nil,sk0_47),nil)),
% 7.37/1.29 inference(resolution,[status(thm)],[f894,f223])).
% 7.37/1.29 fof(f904,plain,(
% 7.37/1.29 frontsegP(sk0_47,nil)),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f714,f903])).
% 7.37/1.29 fof(f905,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~ssList(nil)|~frontsegP(X0,sk0_47)|frontsegP(X0,nil))),
% 7.37/1.29 inference(resolution,[status(thm)],[f904,f681])).
% 7.37/1.29 fof(f906,plain,(
% 7.37/1.29 spl0_38|~spl0_10),
% 7.37/1.29 inference(split_clause,[status(thm)],[f905,f859,f635])).
% 7.37/1.29 fof(f907,plain,(
% 7.37/1.29 ~ssList(nil)|~frontsegP(nil,sk0_47)|nil=sk0_47),
% 7.37/1.29 inference(resolution,[status(thm)],[f904,f702])).
% 7.37/1.29 fof(f908,plain,(
% 7.37/1.29 ~spl0_10|~spl0_32|spl0_22),
% 7.37/1.29 inference(split_clause,[status(thm)],[f907,f635,f827,f735])).
% 7.37/1.29 fof(f929,plain,(
% 7.37/1.29 frontsegP(app(nil,sk0_48),nil)),
% 7.37/1.29 inference(resolution,[status(thm)],[f895,f223])).
% 7.37/1.29 fof(f930,plain,(
% 7.37/1.29 frontsegP(sk0_48,nil)),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f762,f929])).
% 7.37/1.29 fof(f931,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~ssList(nil)|~frontsegP(X0,sk0_48)|frontsegP(X0,nil))),
% 7.37/1.29 inference(resolution,[status(thm)],[f930,f776])).
% 7.37/1.29 fof(f932,plain,(
% 7.37/1.29 spl0_39|~spl0_10),
% 7.37/1.29 inference(split_clause,[status(thm)],[f931,f870,f635])).
% 7.37/1.29 fof(f951,plain,(
% 7.37/1.29 app(sk0_47,nil)=sk0_47),
% 7.37/1.29 inference(resolution,[status(thm)],[f389,f420])).
% 7.37/1.29 fof(f952,plain,(
% 7.37/1.29 app(sk0_48,nil)=sk0_48),
% 7.37/1.29 inference(resolution,[status(thm)],[f389,f421])).
% 7.37/1.29 fof(f956,plain,(
% 7.37/1.29 spl0_48 <=> ssList(app(sk0_47,nil))),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f958,plain,(
% 7.37/1.29 ~ssList(app(sk0_47,nil))|spl0_48),
% 7.37/1.29 inference(component_clause,[status(thm)],[f956])).
% 7.37/1.29 fof(f959,plain,(
% 7.37/1.29 spl0_49 <=> segmentP(sk0_47,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f962,plain,(
% 7.37/1.29 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_20),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f951,f723])).
% 7.37/1.29 fof(f963,plain,(
% 7.37/1.29 ~spl0_48|spl0_49|~spl0_10|~spl0_20),
% 7.37/1.29 inference(split_clause,[status(thm)],[f962,f956,f959,f635,f718])).
% 7.37/1.29 fof(f964,plain,(
% 7.37/1.29 spl0_50 <=> frontsegP(sk0_47,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f967,plain,(
% 7.37/1.29 ~ssList(sk0_47)|frontsegP(sk0_47,nil)),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f951,f884])).
% 7.37/1.29 fof(f968,plain,(
% 7.37/1.29 ~spl0_6|spl0_50),
% 7.37/1.29 inference(split_clause,[status(thm)],[f967,f545,f964])).
% 7.37/1.29 fof(f969,plain,(
% 7.37/1.29 spl0_51 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f972,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f951,f464])).
% 7.37/1.29 fof(f973,plain,(
% 7.37/1.29 spl0_51|~spl0_10|~spl0_6),
% 7.37/1.29 inference(split_clause,[status(thm)],[f972,f969,f635,f545])).
% 7.37/1.29 fof(f974,plain,(
% 7.37/1.29 ~ssList(sk0_47)|spl0_48),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f951,f958])).
% 7.37/1.29 fof(f975,plain,(
% 7.37/1.29 $false|spl0_48),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f974,f420])).
% 7.37/1.29 fof(f976,plain,(
% 7.37/1.29 spl0_48),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f975])).
% 7.37/1.29 fof(f979,plain,(
% 7.37/1.29 spl0_52 <=> ssList(app(sk0_48,nil))),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f981,plain,(
% 7.37/1.29 ~ssList(app(sk0_48,nil))|spl0_52),
% 7.37/1.29 inference(component_clause,[status(thm)],[f979])).
% 7.37/1.29 fof(f982,plain,(
% 7.37/1.29 spl0_53 <=> segmentP(sk0_48,sk0_48)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f985,plain,(
% 7.37/1.29 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_31),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f952,f822])).
% 7.37/1.29 fof(f986,plain,(
% 7.37/1.29 ~spl0_52|spl0_53|~spl0_10|~spl0_31),
% 7.37/1.29 inference(split_clause,[status(thm)],[f985,f979,f982,f635,f817])).
% 7.37/1.29 fof(f987,plain,(
% 7.37/1.29 spl0_54 <=> frontsegP(sk0_48,nil)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f990,plain,(
% 7.37/1.29 ~ssList(sk0_48)|frontsegP(sk0_48,nil)),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f952,f884])).
% 7.37/1.29 fof(f991,plain,(
% 7.37/1.29 ~spl0_8|spl0_54),
% 7.37/1.29 inference(split_clause,[status(thm)],[f990,f604,f987])).
% 7.37/1.29 fof(f992,plain,(
% 7.37/1.29 spl0_55 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f995,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f952,f464])).
% 7.37/1.29 fof(f996,plain,(
% 7.37/1.29 spl0_55|~spl0_10|~spl0_8),
% 7.37/1.29 inference(split_clause,[status(thm)],[f995,f992,f635,f604])).
% 7.37/1.29 fof(f997,plain,(
% 7.37/1.29 ~ssList(sk0_48)|spl0_52),
% 7.37/1.29 inference(forward_demodulation,[status(thm)],[f952,f981])).
% 7.37/1.29 fof(f998,plain,(
% 7.37/1.29 $false|spl0_52),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f997,f421])).
% 7.37/1.29 fof(f999,plain,(
% 7.37/1.29 spl0_52),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f998])).
% 7.37/1.29 fof(f1090,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_47)|app(sk0_47,sk0_5(sk0_47,X0))=X0)),
% 7.37/1.29 inference(resolution,[status(thm)],[f123,f420])).
% 7.37/1.29 fof(f1094,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~frontsegP(X0,nil)|app(nil,sk0_5(nil,X0))=X0)),
% 7.37/1.29 inference(resolution,[status(thm)],[f123,f223])).
% 7.37/1.29 fof(f1095,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|app(nil,sk0_5(nil,X0))=X0)),
% 7.37/1.29 inference(forward_subsumption_resolution,[status(thm)],[f1094,f295])).
% 7.37/1.29 fof(f1106,plain,(
% 7.37/1.29 spl0_58 <=> frontsegP(sk0_48,sk0_47)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1109,plain,(
% 7.37/1.29 ~ssList(sk0_48)|frontsegP(sk0_48,sk0_47)|~spl0_37),
% 7.37/1.29 inference(resolution,[status(thm)],[f853,f499])).
% 7.37/1.29 fof(f1110,plain,(
% 7.37/1.29 ~spl0_8|spl0_58|~spl0_37),
% 7.37/1.29 inference(split_clause,[status(thm)],[f1109,f604,f1106,f852])).
% 7.37/1.29 fof(f1245,plain,(
% 7.37/1.29 spl0_63 <=> app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1246,plain,(
% 7.37/1.29 app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48|~spl0_63),
% 7.37/1.29 inference(component_clause,[status(thm)],[f1245])).
% 7.37/1.29 fof(f1248,plain,(
% 7.37/1.29 ~ssList(sk0_48)|app(sk0_47,sk0_5(sk0_47,sk0_48))=sk0_48|~spl0_5),
% 7.37/1.29 inference(resolution,[status(thm)],[f1090,f599])).
% 7.37/1.29 fof(f1249,plain,(
% 7.37/1.29 ~spl0_8|spl0_63|~spl0_5),
% 7.37/1.29 inference(split_clause,[status(thm)],[f1248,f604,f1245,f454])).
% 7.37/1.29 fof(f1262,plain,(
% 7.37/1.29 spl0_65 <=> app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1263,plain,(
% 7.37/1.29 app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47|~spl0_65),
% 7.37/1.29 inference(component_clause,[status(thm)],[f1262])).
% 7.37/1.29 fof(f1265,plain,(
% 7.37/1.29 ~ssList(sk0_47)|app(sk0_47,sk0_5(sk0_47,sk0_47))=sk0_47),
% 7.37/1.29 inference(resolution,[status(thm)],[f1090,f500])).
% 7.37/1.29 fof(f1266,plain,(
% 7.37/1.29 ~spl0_6|spl0_65),
% 7.37/1.29 inference(split_clause,[status(thm)],[f1265,f545,f1262])).
% 7.37/1.29 fof(f1318,plain,(
% 7.37/1.29 app(nil,sk0_5(nil,sk0_48))=sk0_48),
% 7.37/1.29 inference(resolution,[status(thm)],[f1095,f421])).
% 7.37/1.29 fof(f1327,plain,(
% 7.37/1.29 spl0_67 <=> ssList(sk0_5(nil,sk0_48))),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1328,plain,(
% 7.37/1.29 ssList(sk0_5(nil,sk0_48))|~spl0_67),
% 7.37/1.29 inference(component_clause,[status(thm)],[f1327])).
% 7.37/1.29 fof(f1329,plain,(
% 7.37/1.29 ~ssList(sk0_5(nil,sk0_48))|spl0_67),
% 7.37/1.29 inference(component_clause,[status(thm)],[f1327])).
% 7.37/1.29 fof(f1332,plain,(
% 7.37/1.29 spl0_68 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_5(nil,sk0_48)),X0),sk0_5(nil,sk0_48))|~ssList(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1335,plain,(
% 7.37/1.29 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_5(nil,sk0_48))|segmentP(app(app(nil,sk0_5(nil,sk0_48)),X0),sk0_5(nil,sk0_48))|~ssList(nil)|~ssList(X0))),
% 7.37/1.29 inference(paramodulation,[status(thm)],[f1318,f464])).
% 7.37/1.29 fof(f1336,plain,(
% 7.37/1.29 spl0_68|~spl0_67|~spl0_10),
% 7.37/1.29 inference(split_clause,[status(thm)],[f1335,f1332,f1327,f635])).
% 7.37/1.29 fof(f1337,plain,(
% 7.37/1.29 spl0_69 <=> ~ssItem(X0)|~ssItem(X0)|~ssItem(X0)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1338,plain,(
% 7.37/1.29 ![X0]: (~ssItem(X0)|~ssItem(X0)|~ssItem(X0)|~spl0_69)),
% 7.37/1.29 inference(component_clause,[status(thm)],[f1337])).
% 7.37/1.29 fof(f1340,plain,(
% 7.37/1.29 spl0_70 <=> ~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|frontsegP(X1,X2)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1343,plain,(
% 7.37/1.29 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssItem(X0)|~ssItem(X0)|~ssList(X1)|~ssList(X2)|frontsegP(X1,X2))),
% 7.37/1.29 inference(resolution,[status(thm)],[f478,f292])).
% 7.37/1.29 fof(f1344,plain,(
% 7.37/1.29 spl0_69|spl0_70),
% 7.37/1.29 inference(split_clause,[status(thm)],[f1343,f1337,f1340])).
% 7.37/1.29 fof(f1353,plain,(
% 7.37/1.29 ![X0]: (~ssItem(X0)|~spl0_69)),
% 7.37/1.29 inference(duplicate_literals_removal,[status(esa)],[f1338])).
% 7.37/1.29 fof(f1357,plain,(
% 7.37/1.29 $false|~spl0_69),
% 7.37/1.29 inference(backward_subsumption_resolution,[status(thm)],[f104,f1353])).
% 7.37/1.29 fof(f1358,plain,(
% 7.37/1.29 ~spl0_69),
% 7.37/1.29 inference(contradiction_clause,[status(thm)],[f1357])).
% 7.37/1.29 fof(f1359,plain,(
% 7.37/1.29 spl0_73 <=> ~ssList(X0)|~segmentP(X0,sk0_48)|segmentP(X0,sk0_48)),
% 7.37/1.29 introduced(split_symbol_definition)).
% 7.37/1.29 fof(f1362,plain,(
% 7.37/1.29 ![X0]: (~ssList(X0)|~segmentP(X0,sk0_48)|~segmentP(sk0_48,sk0_48)|segmentP(X0,sk0_48))),
% 7.37/1.29 inference(resolution,[status(thm)],[f315,f421])).
% 7.37/1.30 fof(f1363,plain,(
% 7.37/1.30 spl0_73|~spl0_53),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1362,f1359,f982])).
% 7.37/1.30 fof(f1366,plain,(
% 7.37/1.30 spl0_74 <=> ~ssList(X0)|~segmentP(X0,sk0_47)|segmentP(X0,sk0_47)),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1369,plain,(
% 7.37/1.30 ![X0]: (~ssList(X0)|~segmentP(X0,sk0_47)|~segmentP(sk0_47,sk0_47)|segmentP(X0,sk0_47))),
% 7.37/1.30 inference(resolution,[status(thm)],[f315,f420])).
% 7.37/1.30 fof(f1370,plain,(
% 7.37/1.30 spl0_74|~spl0_49),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1369,f1366,f959])).
% 7.37/1.30 fof(f1372,plain,(
% 7.37/1.30 spl0_75 <=> ~ssList(X0)|~segmentP(X0,nil)|segmentP(X0,nil)),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1375,plain,(
% 7.37/1.30 spl0_76 <=> segmentP(nil,nil)),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1377,plain,(
% 7.37/1.30 ~segmentP(nil,nil)|spl0_76),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1375])).
% 7.37/1.30 fof(f1378,plain,(
% 7.37/1.30 ![X0]: (~ssList(X0)|~segmentP(X0,nil)|~segmentP(nil,nil)|segmentP(X0,nil))),
% 7.37/1.30 inference(resolution,[status(thm)],[f315,f223])).
% 7.37/1.30 fof(f1379,plain,(
% 7.37/1.30 spl0_75|~spl0_76),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1378,f1372,f1375])).
% 7.37/1.30 fof(f1386,plain,(
% 7.37/1.30 $false|spl0_76),
% 7.37/1.30 inference(forward_subsumption_resolution,[status(thm)],[f1377,f634])).
% 7.37/1.30 fof(f1387,plain,(
% 7.37/1.30 spl0_76),
% 7.37/1.30 inference(contradiction_clause,[status(thm)],[f1386])).
% 7.37/1.30 fof(f1473,plain,(
% 7.37/1.30 ~ssList(sk0_48)|~ssList(nil)|~frontsegP(sk0_48,nil)|spl0_67),
% 7.37/1.30 inference(resolution,[status(thm)],[f1329,f122])).
% 7.37/1.30 fof(f1474,plain,(
% 7.37/1.30 ~spl0_8|~spl0_10|~spl0_54|spl0_67),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1473,f604,f635,f987,f1327])).
% 7.37/1.30 fof(f1477,plain,(
% 7.37/1.30 spl0_77 <=> ~ssList(X0)|~segmentP(X0,sk0_5(nil,sk0_48))|segmentP(X0,sk0_5(nil,sk0_48))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1480,plain,(
% 7.37/1.30 spl0_78 <=> segmentP(sk0_5(nil,sk0_48),sk0_5(nil,sk0_48))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1482,plain,(
% 7.37/1.30 ~segmentP(sk0_5(nil,sk0_48),sk0_5(nil,sk0_48))|spl0_78),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1480])).
% 7.37/1.30 fof(f1483,plain,(
% 7.37/1.30 ![X0]: (~ssList(X0)|~segmentP(X0,sk0_5(nil,sk0_48))|~segmentP(sk0_5(nil,sk0_48),sk0_5(nil,sk0_48))|segmentP(X0,sk0_5(nil,sk0_48))|~spl0_67)),
% 7.37/1.30 inference(resolution,[status(thm)],[f1328,f315])).
% 7.37/1.30 fof(f1484,plain,(
% 7.37/1.30 spl0_77|~spl0_78|~spl0_67),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1483,f1477,f1480,f1327])).
% 7.37/1.30 fof(f1501,plain,(
% 7.37/1.30 app(nil,sk0_5(nil,sk0_48))=sk0_5(nil,sk0_48)|~spl0_67),
% 7.37/1.30 inference(resolution,[status(thm)],[f1328,f249])).
% 7.37/1.30 fof(f1502,plain,(
% 7.37/1.30 sk0_48=sk0_5(nil,sk0_48)|~spl0_67),
% 7.37/1.30 inference(forward_demodulation,[status(thm)],[f1318,f1501])).
% 7.37/1.30 fof(f1510,plain,(
% 7.37/1.30 spl0_79 <=> ~ssList(X0)|~frontsegP(X0,sk0_5(nil,sk0_48))|frontsegP(X0,sk0_5(nil,sk0_48))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1513,plain,(
% 7.37/1.30 spl0_80 <=> frontsegP(sk0_5(nil,sk0_48),sk0_5(nil,sk0_48))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1515,plain,(
% 7.37/1.30 ~frontsegP(sk0_5(nil,sk0_48),sk0_5(nil,sk0_48))|spl0_80),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1513])).
% 7.37/1.30 fof(f1516,plain,(
% 7.37/1.30 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_5(nil,sk0_48))|~frontsegP(sk0_5(nil,sk0_48),sk0_5(nil,sk0_48))|frontsegP(X0,sk0_5(nil,sk0_48))|~spl0_67)),
% 7.37/1.30 inference(resolution,[status(thm)],[f1328,f282])).
% 7.37/1.30 fof(f1517,plain,(
% 7.37/1.30 spl0_79|~spl0_80|~spl0_67),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1516,f1510,f1513,f1327])).
% 7.37/1.30 fof(f1570,plain,(
% 7.37/1.30 ~segmentP(sk0_48,sk0_5(nil,sk0_48))|~spl0_67|spl0_78),
% 7.37/1.30 inference(forward_demodulation,[status(thm)],[f1502,f1482])).
% 7.37/1.30 fof(f1571,plain,(
% 7.37/1.30 ~segmentP(sk0_48,sk0_48)|~spl0_67|spl0_78),
% 7.37/1.30 inference(forward_demodulation,[status(thm)],[f1502,f1570])).
% 7.37/1.30 fof(f1572,plain,(
% 7.37/1.30 $false|~spl0_67|spl0_78),
% 7.37/1.30 inference(forward_subsumption_resolution,[status(thm)],[f1571,f777])).
% 7.37/1.30 fof(f1573,plain,(
% 7.37/1.30 ~spl0_67|spl0_78),
% 7.37/1.30 inference(contradiction_clause,[status(thm)],[f1572])).
% 7.37/1.30 fof(f1574,plain,(
% 7.37/1.30 ~frontsegP(sk0_48,sk0_5(nil,sk0_48))|~spl0_67|spl0_80),
% 7.37/1.30 inference(forward_demodulation,[status(thm)],[f1502,f1515])).
% 7.37/1.30 fof(f1575,plain,(
% 7.37/1.30 ~frontsegP(sk0_48,sk0_48)|~spl0_67|spl0_80),
% 7.37/1.30 inference(forward_demodulation,[status(thm)],[f1502,f1574])).
% 7.37/1.30 fof(f1576,plain,(
% 7.37/1.30 $false|~spl0_67|spl0_80),
% 7.37/1.30 inference(forward_subsumption_resolution,[status(thm)],[f1575,f499])).
% 7.37/1.30 fof(f1577,plain,(
% 7.37/1.30 ~spl0_67|spl0_80),
% 7.37/1.30 inference(contradiction_clause,[status(thm)],[f1576])).
% 7.37/1.30 fof(f1587,plain,(
% 7.37/1.30 spl0_82 <=> ssList(sk0_5(sk0_47,sk0_47))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1588,plain,(
% 7.37/1.30 ssList(sk0_5(sk0_47,sk0_47))|~spl0_82),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1587])).
% 7.37/1.30 fof(f1589,plain,(
% 7.37/1.30 ~ssList(sk0_5(sk0_47,sk0_47))|spl0_82),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1587])).
% 7.37/1.30 fof(f1594,plain,(
% 7.37/1.30 spl0_83 <=> ~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)),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1597,plain,(
% 7.37/1.30 ![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_65)),
% 7.37/1.30 inference(paramodulation,[status(thm)],[f1263,f464])).
% 7.37/1.30 fof(f1598,plain,(
% 7.37/1.30 spl0_83|~spl0_82|~spl0_6|~spl0_65),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1597,f1594,f1587,f545,f1262])).
% 7.37/1.30 fof(f1599,plain,(
% 7.37/1.30 ~ssList(sk0_47)|~ssList(sk0_47)|~frontsegP(sk0_47,sk0_47)|spl0_82),
% 7.37/1.30 inference(resolution,[status(thm)],[f1589,f122])).
% 7.37/1.30 fof(f1600,plain,(
% 7.37/1.30 ~spl0_6|~spl0_17|spl0_82),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1599,f545,f676,f1587])).
% 7.37/1.30 fof(f1602,plain,(
% 7.37/1.30 spl0_84 <=> ssList(app(sk0_47,sk0_5(sk0_47,sk0_48)))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1604,plain,(
% 7.37/1.30 ~ssList(app(sk0_47,sk0_5(sk0_47,sk0_48)))|spl0_84),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1602])).
% 7.37/1.30 fof(f1605,plain,(
% 7.37/1.30 spl0_85 <=> ssList(sk0_5(sk0_47,sk0_48))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1607,plain,(
% 7.37/1.30 ~ssList(sk0_5(sk0_47,sk0_48))|spl0_85),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1605])).
% 7.37/1.30 fof(f1608,plain,(
% 7.37/1.30 ~ssList(app(sk0_47,sk0_5(sk0_47,sk0_48)))|segmentP(sk0_48,sk0_47)|~ssList(sk0_5(sk0_47,sk0_48))|~spl0_20|~spl0_63),
% 7.37/1.30 inference(paramodulation,[status(thm)],[f1246,f723])).
% 7.37/1.30 fof(f1609,plain,(
% 7.37/1.30 ~spl0_84|spl0_29|~spl0_85|~spl0_20|~spl0_63),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1608,f1602,f803,f1605,f718,f1245])).
% 7.37/1.30 fof(f1612,plain,(
% 7.37/1.30 spl0_86 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_47,sk0_5(sk0_47,sk0_48)),X0),sk0_5(sk0_47,sk0_48))|~ssList(X0)),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1615,plain,(
% 7.37/1.30 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_5(sk0_47,sk0_48))|segmentP(app(app(sk0_47,sk0_5(sk0_47,sk0_48)),X0),sk0_5(sk0_47,sk0_48))|~ssList(sk0_47)|~ssList(X0)|~spl0_63)),
% 7.37/1.30 inference(paramodulation,[status(thm)],[f1246,f464])).
% 7.37/1.30 fof(f1616,plain,(
% 7.37/1.30 spl0_86|~spl0_85|~spl0_6|~spl0_63),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1615,f1612,f1605,f545,f1245])).
% 7.37/1.30 fof(f1618,plain,(
% 7.37/1.30 spl0_87 <=> ~ssList(X0)|~segmentP(X0,sk0_5(sk0_47,sk0_47))|segmentP(X0,sk0_5(sk0_47,sk0_47))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1621,plain,(
% 7.37/1.30 spl0_88 <=> segmentP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1623,plain,(
% 7.37/1.30 ~segmentP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))|spl0_88),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1621])).
% 7.37/1.30 fof(f1624,plain,(
% 7.37/1.30 ![X0]: (~ssList(X0)|~segmentP(X0,sk0_5(sk0_47,sk0_47))|~segmentP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))|segmentP(X0,sk0_5(sk0_47,sk0_47))|~spl0_82)),
% 7.37/1.30 inference(resolution,[status(thm)],[f1588,f315])).
% 7.37/1.30 fof(f1625,plain,(
% 7.37/1.30 spl0_87|~spl0_88|~spl0_82),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1624,f1618,f1621,f1587])).
% 7.37/1.30 fof(f1645,plain,(
% 7.37/1.30 spl0_89 <=> ~ssList(X0)|~frontsegP(X0,sk0_5(sk0_47,sk0_47))|frontsegP(X0,sk0_5(sk0_47,sk0_47))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1648,plain,(
% 7.37/1.30 spl0_90 <=> frontsegP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))),
% 7.37/1.30 introduced(split_symbol_definition)).
% 7.37/1.30 fof(f1650,plain,(
% 7.37/1.30 ~frontsegP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))|spl0_90),
% 7.37/1.30 inference(component_clause,[status(thm)],[f1648])).
% 7.37/1.30 fof(f1651,plain,(
% 7.37/1.30 ![X0]: (~ssList(X0)|~frontsegP(X0,sk0_5(sk0_47,sk0_47))|~frontsegP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))|frontsegP(X0,sk0_5(sk0_47,sk0_47))|~spl0_82)),
% 7.37/1.30 inference(resolution,[status(thm)],[f1588,f282])).
% 7.37/1.30 fof(f1652,plain,(
% 7.37/1.30 spl0_89|~spl0_90|~spl0_82),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1651,f1645,f1648,f1587])).
% 7.37/1.30 fof(f1657,plain,(
% 7.37/1.30 segmentP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))|~spl0_82),
% 7.37/1.30 inference(resolution,[status(thm)],[f1588,f319])).
% 7.37/1.30 fof(f1659,plain,(
% 7.37/1.30 frontsegP(sk0_5(sk0_47,sk0_47),sk0_5(sk0_47,sk0_47))|~spl0_82),
% 7.37/1.30 inference(resolution,[status(thm)],[f1588,f286])).
% 7.37/1.30 fof(f1662,plain,(
% 7.37/1.30 $false|~spl0_82|spl0_88),
% 7.37/1.30 inference(forward_subsumption_resolution,[status(thm)],[f1623,f1657])).
% 7.37/1.30 fof(f1663,plain,(
% 7.37/1.30 ~spl0_82|spl0_88),
% 7.37/1.30 inference(contradiction_clause,[status(thm)],[f1662])).
% 7.37/1.30 fof(f1664,plain,(
% 7.37/1.30 $false|~spl0_82|spl0_90),
% 7.37/1.30 inference(forward_subsumption_resolution,[status(thm)],[f1650,f1659])).
% 7.37/1.30 fof(f1665,plain,(
% 7.37/1.30 ~spl0_82|spl0_90),
% 7.37/1.30 inference(contradiction_clause,[status(thm)],[f1664])).
% 7.37/1.30 fof(f1666,plain,(
% 7.37/1.30 ~ssList(sk0_48)|~ssList(sk0_47)|~frontsegP(sk0_48,sk0_47)|spl0_85),
% 7.37/1.30 inference(resolution,[status(thm)],[f1607,f122])).
% 7.37/1.30 fof(f1667,plain,(
% 7.37/1.30 ~spl0_8|~spl0_6|~spl0_58|spl0_85),
% 7.37/1.30 inference(split_clause,[status(thm)],[f1666,f604,f545,f1106,f1605])).
% 7.37/1.30 fof(f1668,plain,(
% 7.37/1.30 ~ssList(sk0_48)|~spl0_63|spl0_84),
% 7.37/1.30 inference(forward_demodulation,[status(thm)],[f1246,f1604])).
% 7.37/1.30 fof(f1669,plain,(
% 7.37/1.30 $false|~spl0_63|spl0_84),
% 7.37/1.30 inference(forward_subsumption_resolution,[status(thm)],[f1668,f421])).
% 7.37/1.30 fof(f1670,plain,(
% 7.37/1.30 ~spl0_63|spl0_84),
% 7.37/1.30 inference(contradiction_clause,[status(thm)],[f1669])).
% 7.37/1.30 fof(f1671,plain,(
% 7.37/1.30 $false),
% 7.37/1.30 inference(sat_refutation,[status(thm)],[f442,f446,f453,f457,f534,f552,f554,f579,f611,f613,f642,f646,f658,f660,f668,f670,f691,f699,f701,f722,f728,f739,f744,f752,f759,f783,f807,f809,f821,f851,f856,f865,f906,f908,f932,f963,f968,f973,f976,f986,f991,f996,f999,f1110,f1249,f1266,f1336,f1344,f1358,f1363,f1370,f1379,f1387,f1474,f1484,f1517,f1573,f1577,f1598,f1600,f1609,f1616,f1625,f1652,f1663,f1665,f1667,f1670])).
% 7.37/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 7.37/1.30 % Elapsed time: 0.984789 seconds
% 7.37/1.30 % CPU time: 7.631960 seconds
% 7.37/1.30 % Total memory used: 109.634 MB
% 7.37/1.30 % Net memory used: 108.018 MB
%------------------------------------------------------------------------------