TSTP Solution File: SWC389+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC389+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:45:37 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC389+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Tue Apr 30 00:45:10 EDT 2024
% 0.18/0.34 % CPUTime :
% 0.18/0.35 % Drodi V3.6.0
% 0.18/0.36 % Refutation found
% 0.18/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.36 fof(f1,axiom,(
% 0.18/0.36 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f3,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f4,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f5,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f7,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f15,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f17,axiom,(
% 0.18/0.36 ssList(nil) ),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f28,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f45,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f57,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f59,axiom,(
% 0.18/0.36 (! [U] :( ssItem(U)=> cyclefreeP(cons(U,nil)) ) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f84,axiom,(
% 0.18/0.36 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f96,conjecture,(
% 0.18/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| cons(Y,nil) != W| app(app(Z,W),X1) != X| (? [X2] :( ssItem(X2)& memberP(Z,X2)& lt(Y,X2) ))| (? [X3] :( ssItem(X3)& memberP(X1,X3)& lt(X3,Y) ) )) )) )))& ( nil != X| nil != W ) )| ( segmentP(V,U)& ( ~ neq(V,nil)| singletonP(U) ) ) ) )) )) )) )),
% 0.18/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.36 fof(f97,negated_conjecture,(
% 0.18/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( (! [Y] :( ssItem(Y)=> (! [Z] :( ssList(Z)=> (! [X1] :( ~ ssList(X1)| cons(Y,nil) != W| app(app(Z,W),X1) != X| (? [X2] :( ssItem(X2)& memberP(Z,X2)& lt(Y,X2) ))| (? [X3] :( ssItem(X3)& memberP(X1,X3)& lt(X3,Y) ) )) )) )))& ( nil != X| nil != W ) )| ( segmentP(V,U)& ( ~ neq(V,nil)| singletonP(U) ) ) ) )) )) )) ))),
% 0.18/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.18/0.36 fof(f98,plain,(
% 0.18/0.36 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.18/0.36 fof(f99,plain,(
% 0.18/0.36 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.18/0.36 inference(NNF_transformation,[status(esa)],[f98])).
% 0.18/0.36 fof(f100,plain,(
% 0.18/0.36 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f99])).
% 0.18/0.36 fof(f106,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.18/0.36 fof(f107,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.18/0.36 inference(NNF_transformation,[status(esa)],[f106])).
% 0.18/0.36 fof(f108,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.18/0.36 inference(skolemization,[status(esa)],[f107])).
% 0.18/0.36 fof(f112,plain,(
% 0.18/0.36 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f108])).
% 0.18/0.36 fof(f113,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.18/0.36 fof(f114,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.18/0.36 inference(NNF_transformation,[status(esa)],[f113])).
% 0.18/0.36 fof(f115,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.18/0.36 inference(skolemization,[status(esa)],[f114])).
% 0.18/0.36 fof(f116,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sk0_4(X0)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f115])).
% 0.18/0.36 fof(f117,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sk0_4(X0),nil)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f115])).
% 0.18/0.36 fof(f118,plain,(
% 0.18/0.36 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f115])).
% 0.18/0.36 fof(f119,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.18/0.36 fof(f120,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.18/0.36 inference(NNF_transformation,[status(esa)],[f119])).
% 0.18/0.36 fof(f121,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.18/0.36 inference(skolemization,[status(esa)],[f120])).
% 0.18/0.36 fof(f122,plain,(
% 0.18/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f121])).
% 0.18/0.36 fof(f131,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.18/0.36 fof(f132,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.18/0.36 inference(NNF_transformation,[status(esa)],[f131])).
% 0.18/0.36 fof(f133,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.18/0.36 inference(skolemization,[status(esa)],[f132])).
% 0.18/0.36 fof(f137,plain,(
% 0.18/0.36 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f133])).
% 0.18/0.36 fof(f217,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.18/0.36 fof(f218,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.18/0.36 inference(NNF_transformation,[status(esa)],[f217])).
% 0.18/0.36 fof(f219,plain,(
% 0.18/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.18/0.36 fof(f220,plain,(
% 0.18/0.36 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f218])).
% 0.18/0.36 fof(f223,plain,(
% 0.18/0.36 ssList(nil)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.36 fof(f248,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.18/0.36 fof(f249,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f248])).
% 0.18/0.36 fof(f294,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.18/0.36 fof(f295,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f294])).
% 0.18/0.36 fof(f322,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.18/0.36 fof(f323,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f322])).
% 0.18/0.36 fof(f328,plain,(
% 0.18/0.36 ![U]: (~ssItem(U)|cyclefreeP(cons(U,nil)))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.18/0.36 fof(f329,plain,(
% 0.18/0.36 ![X0]: (~ssItem(X0)|cyclefreeP(cons(X0,nil)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f328])).
% 0.18/0.36 fof(f388,plain,(
% 0.18/0.36 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.18/0.36 fof(f389,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f388])).
% 0.18/0.36 fof(f415,plain,(
% 0.18/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((?[Y]: (ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((((ssList(X1)&cons(Y,nil)=W)&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))|(nil=X&nil=W)))&(~segmentP(V,U)|(neq(V,nil)&~singletonP(U)))))))))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.18/0.36 fof(f416,plain,(
% 0.18/0.36 ![W,X,Y]: (pd0_0(Y,X,W)=>(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((((ssList(X1)&cons(Y,nil)=W)&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))),
% 0.18/0.36 introduced(predicate_definition,[f415])).
% 0.18/0.36 fof(f417,plain,(
% 0.18/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((?[Y]: pd0_0(Y,X,W))|(nil=X&nil=W)))&(~segmentP(V,U)|(neq(V,nil)&~singletonP(U))))))))))),
% 0.18/0.36 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.18/0.36 fof(f418,plain,(
% 0.18/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&((?[X]: (((ssList(X)&V=X)&U=W)&((?[Y]: pd0_0(Y,X,W))|(nil=X&nil=W))))&(~segmentP(V,U)|(neq(V,nil)&~singletonP(U)))))))))),
% 0.18/0.36 inference(miniscoping,[status(esa)],[f417])).
% 0.18/0.36 fof(f419,plain,(
% 0.18/0.36 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(pd0_0(sk0_51,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))&(~segmentP(sk0_48,sk0_47)|(neq(sk0_48,nil)&~singletonP(sk0_47)))))))),
% 0.18/0.36 inference(skolemization,[status(esa)],[f418])).
% 0.18/0.36 fof(f420,plain,(
% 0.18/0.36 ssList(sk0_47)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f421,plain,(
% 0.18/0.36 ssList(sk0_48)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f424,plain,(
% 0.18/0.36 sk0_48=sk0_50),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f425,plain,(
% 0.18/0.36 sk0_47=sk0_49),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f426,plain,(
% 0.18/0.36 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_50),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f427,plain,(
% 0.18/0.36 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_49),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f428,plain,(
% 0.18/0.36 ~segmentP(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f429,plain,(
% 0.18/0.36 ~segmentP(sk0_48,sk0_47)|~singletonP(sk0_47)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.18/0.36 fof(f430,plain,(
% 0.18/0.36 ![W,X,Y]: (~pd0_0(Y,X,W)|(ssItem(Y)&(?[Z]: (ssList(Z)&(?[X1]: ((((ssList(X1)&cons(Y,nil)=W)&app(app(Z,W),X1)=X)&(![X2]: ((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y)))))))))),
% 0.18/0.36 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.18/0.36 fof(f431,plain,(
% 0.18/0.36 ![W,X,Y]: (~pd0_0(Y,X,W)|(ssItem(Y)&(ssList(sk0_52(Y,X,W))&((((ssList(sk0_53(Y,X,W))&cons(Y,nil)=W)&app(app(sk0_52(Y,X,W),W),sk0_53(Y,X,W))=X)&(![X2]: ((~ssItem(X2)|~memberP(sk0_52(Y,X,W),X2))|~lt(Y,X2))))&(![X3]: ((~ssItem(X3)|~memberP(sk0_53(Y,X,W),X3))|~lt(X3,Y)))))))),
% 0.18/0.36 inference(skolemization,[status(esa)],[f430])).
% 0.18/0.36 fof(f432,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f431])).
% 0.18/0.36 fof(f433,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_52(X0,X1,X2)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f431])).
% 0.18/0.36 fof(f434,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_53(X0,X1,X2)))),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f431])).
% 0.18/0.36 fof(f435,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f431])).
% 0.18/0.36 fof(f436,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(app(sk0_52(X0,X1,X2),X2),sk0_53(X0,X1,X2))=X1)),
% 0.18/0.36 inference(cnf_transformation,[status(esa)],[f431])).
% 0.18/0.36 fof(f439,plain,(
% 0.18/0.36 spl0_0 <=> pd0_0(sk0_51,sk0_50,sk0_49)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f440,plain,(
% 0.18/0.36 pd0_0(sk0_51,sk0_50,sk0_49)|~spl0_0),
% 0.18/0.36 inference(component_clause,[status(thm)],[f439])).
% 0.18/0.36 fof(f442,plain,(
% 0.18/0.36 spl0_1 <=> nil=sk0_50),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f443,plain,(
% 0.18/0.36 nil=sk0_50|~spl0_1),
% 0.18/0.36 inference(component_clause,[status(thm)],[f442])).
% 0.18/0.36 fof(f445,plain,(
% 0.18/0.36 spl0_0|spl0_1),
% 0.18/0.36 inference(split_clause,[status(thm)],[f426,f439,f442])).
% 0.18/0.36 fof(f446,plain,(
% 0.18/0.36 spl0_2 <=> nil=sk0_49),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f447,plain,(
% 0.18/0.36 nil=sk0_49|~spl0_2),
% 0.18/0.36 inference(component_clause,[status(thm)],[f446])).
% 0.18/0.36 fof(f449,plain,(
% 0.18/0.36 spl0_0|spl0_2),
% 0.18/0.36 inference(split_clause,[status(thm)],[f427,f439,f446])).
% 0.18/0.36 fof(f450,plain,(
% 0.18/0.36 spl0_3 <=> segmentP(sk0_48,sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f452,plain,(
% 0.18/0.36 ~segmentP(sk0_48,sk0_47)|spl0_3),
% 0.18/0.36 inference(component_clause,[status(thm)],[f450])).
% 0.18/0.36 fof(f453,plain,(
% 0.18/0.36 spl0_4 <=> neq(sk0_48,nil)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f454,plain,(
% 0.18/0.36 neq(sk0_48,nil)|~spl0_4),
% 0.18/0.36 inference(component_clause,[status(thm)],[f453])).
% 0.18/0.36 fof(f456,plain,(
% 0.18/0.36 ~spl0_3|spl0_4),
% 0.18/0.36 inference(split_clause,[status(thm)],[f428,f450,f453])).
% 0.18/0.36 fof(f457,plain,(
% 0.18/0.36 spl0_5 <=> singletonP(sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f458,plain,(
% 0.18/0.36 singletonP(sk0_47)|~spl0_5),
% 0.18/0.36 inference(component_clause,[status(thm)],[f457])).
% 0.18/0.36 fof(f460,plain,(
% 0.18/0.36 ~spl0_3|~spl0_5),
% 0.18/0.36 inference(split_clause,[status(thm)],[f429,f450,f457])).
% 0.18/0.36 fof(f461,plain,(
% 0.18/0.36 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.18/0.36 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.18/0.36 fof(f462,plain,(
% 0.18/0.36 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.18/0.36 inference(duplicate_literals_removal,[status(esa)],[f461])).
% 0.18/0.36 fof(f463,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 0.18/0.36 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 0.18/0.36 fof(f464,plain,(
% 0.18/0.36 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.18/0.36 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.18/0.36 fof(f467,plain,(
% 0.18/0.36 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.18/0.36 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.18/0.36 fof(f476,plain,(
% 0.18/0.36 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.18/0.36 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.18/0.36 fof(f477,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.18/0.36 inference(duplicate_literals_removal,[status(esa)],[f476])).
% 0.18/0.36 fof(f499,plain,(
% 0.18/0.36 pd0_0(sk0_51,sk0_48,sk0_49)|~spl0_0),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f424,f440])).
% 0.18/0.36 fof(f500,plain,(
% 0.18/0.36 pd0_0(sk0_51,sk0_48,sk0_47)|~spl0_0),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f425,f499])).
% 0.18/0.36 fof(f501,plain,(
% 0.18/0.36 ssItem(sk0_51)|~spl0_0),
% 0.18/0.36 inference(resolution,[status(thm)],[f500,f432])).
% 0.18/0.36 fof(f505,plain,(
% 0.18/0.36 spl0_6 <=> ssItem(sk0_51)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f507,plain,(
% 0.18/0.36 ~ssItem(sk0_51)|spl0_6),
% 0.18/0.36 inference(component_clause,[status(thm)],[f505])).
% 0.18/0.36 fof(f518,plain,(
% 0.18/0.36 nil=sk0_48|~spl0_1),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f424,f443])).
% 0.18/0.36 fof(f519,plain,(
% 0.18/0.36 nil=sk0_47|~spl0_2),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f425,f447])).
% 0.18/0.36 fof(f520,plain,(
% 0.18/0.36 ~segmentP(nil,sk0_47)|~spl0_1|spl0_3),
% 0.18/0.36 inference(backward_demodulation,[status(thm)],[f518,f452])).
% 0.18/0.36 fof(f526,plain,(
% 0.18/0.36 ~segmentP(nil,nil)|~spl0_2|~spl0_1|spl0_3),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f519,f520])).
% 0.18/0.36 fof(f527,plain,(
% 0.18/0.36 ~ssList(nil)|~spl0_2|~spl0_1|spl0_3),
% 0.18/0.36 inference(resolution,[status(thm)],[f526,f323])).
% 0.18/0.36 fof(f528,plain,(
% 0.18/0.36 $false|~spl0_2|~spl0_1|spl0_3),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f527,f223])).
% 0.18/0.36 fof(f529,plain,(
% 0.18/0.36 ~spl0_2|~spl0_1|spl0_3),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f528])).
% 0.18/0.36 fof(f530,plain,(
% 0.18/0.36 $false|spl0_6|~spl0_0),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f501,f507])).
% 0.18/0.36 fof(f531,plain,(
% 0.18/0.36 spl0_6|~spl0_0),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f530])).
% 0.18/0.36 fof(f535,plain,(
% 0.18/0.36 neq(nil,nil)|~spl0_1|~spl0_4),
% 0.18/0.36 inference(backward_demodulation,[status(thm)],[f518,f454])).
% 0.18/0.36 fof(f540,plain,(
% 0.18/0.36 ~ssList(nil)|~spl0_1|~spl0_4),
% 0.18/0.36 inference(resolution,[status(thm)],[f535,f477])).
% 0.18/0.36 fof(f541,plain,(
% 0.18/0.36 $false|~spl0_1|~spl0_4),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f540,f223])).
% 0.18/0.36 fof(f542,plain,(
% 0.18/0.36 ~spl0_1|~spl0_4),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f541])).
% 0.18/0.36 fof(f547,plain,(
% 0.18/0.36 cons(sk0_51,nil)=sk0_47|~spl0_0),
% 0.18/0.36 inference(resolution,[status(thm)],[f435,f500])).
% 0.18/0.36 fof(f549,plain,(
% 0.18/0.36 app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47))=sk0_48|~spl0_0),
% 0.18/0.36 inference(resolution,[status(thm)],[f436,f500])).
% 0.18/0.36 fof(f550,plain,(
% 0.18/0.36 app(nil,sk0_48)=sk0_48),
% 0.18/0.36 inference(resolution,[status(thm)],[f249,f421])).
% 0.18/0.36 fof(f553,plain,(
% 0.18/0.36 app(nil,sk0_47)=sk0_47),
% 0.18/0.36 inference(resolution,[status(thm)],[f249,f420])).
% 0.18/0.36 fof(f556,plain,(
% 0.18/0.36 app(nil,nil)=nil),
% 0.18/0.36 inference(resolution,[status(thm)],[f249,f223])).
% 0.18/0.36 fof(f557,plain,(
% 0.18/0.36 app(sk0_48,nil)=sk0_48),
% 0.18/0.36 inference(resolution,[status(thm)],[f389,f421])).
% 0.18/0.36 fof(f560,plain,(
% 0.18/0.36 app(sk0_47,nil)=sk0_47),
% 0.18/0.36 inference(resolution,[status(thm)],[f389,f420])).
% 0.18/0.36 fof(f574,plain,(
% 0.18/0.36 spl0_9 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f577,plain,(
% 0.18/0.36 spl0_10 <=> ssList(nil)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f579,plain,(
% 0.18/0.36 ~ssList(nil)|spl0_10),
% 0.18/0.36 inference(component_clause,[status(thm)],[f577])).
% 0.18/0.36 fof(f580,plain,(
% 0.18/0.36 spl0_11 <=> ssList(sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f582,plain,(
% 0.18/0.36 ~ssList(sk0_47)|spl0_11),
% 0.18/0.36 inference(component_clause,[status(thm)],[f580])).
% 0.18/0.36 fof(f583,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f560,f467])).
% 0.18/0.36 fof(f584,plain,(
% 0.18/0.36 spl0_9|~spl0_10|~spl0_11),
% 0.18/0.36 inference(split_clause,[status(thm)],[f583,f574,f577,f580])).
% 0.18/0.36 fof(f585,plain,(
% 0.18/0.36 spl0_12 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f588,plain,(
% 0.18/0.36 spl0_13 <=> ssList(sk0_48)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f590,plain,(
% 0.18/0.36 ~ssList(sk0_48)|spl0_13),
% 0.18/0.36 inference(component_clause,[status(thm)],[f588])).
% 0.18/0.36 fof(f591,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f557,f467])).
% 0.18/0.36 fof(f592,plain,(
% 0.18/0.36 spl0_12|~spl0_10|~spl0_13),
% 0.18/0.36 inference(split_clause,[status(thm)],[f591,f585,f577,f588])).
% 0.18/0.36 fof(f593,plain,(
% 0.18/0.36 spl0_14 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f596,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f556,f467])).
% 0.18/0.36 fof(f597,plain,(
% 0.18/0.36 spl0_14|~spl0_10),
% 0.18/0.36 inference(split_clause,[status(thm)],[f596,f593,f577])).
% 0.18/0.36 fof(f598,plain,(
% 0.18/0.36 spl0_15 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f599,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_15)),
% 0.18/0.36 inference(component_clause,[status(thm)],[f598])).
% 0.18/0.36 fof(f601,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f553,f467])).
% 0.18/0.36 fof(f602,plain,(
% 0.18/0.36 spl0_15|~spl0_11|~spl0_10),
% 0.18/0.36 inference(split_clause,[status(thm)],[f601,f598,f580,f577])).
% 0.18/0.36 fof(f603,plain,(
% 0.18/0.36 spl0_16 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f604,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_16)),
% 0.18/0.36 inference(component_clause,[status(thm)],[f603])).
% 0.18/0.36 fof(f606,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f550,f467])).
% 0.18/0.36 fof(f607,plain,(
% 0.18/0.36 spl0_16|~spl0_13|~spl0_10),
% 0.18/0.36 inference(split_clause,[status(thm)],[f606,f603,f588,f577])).
% 0.18/0.36 fof(f608,plain,(
% 0.18/0.36 $false|spl0_10),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f579,f223])).
% 0.18/0.36 fof(f609,plain,(
% 0.18/0.36 spl0_10),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f608])).
% 0.18/0.36 fof(f610,plain,(
% 0.18/0.36 $false|spl0_11),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f582,f420])).
% 0.18/0.36 fof(f611,plain,(
% 0.18/0.36 spl0_11),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f610])).
% 0.18/0.36 fof(f612,plain,(
% 0.18/0.36 $false|spl0_13),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f590,f421])).
% 0.18/0.36 fof(f613,plain,(
% 0.18/0.36 spl0_13),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f612])).
% 0.18/0.36 fof(f616,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_15)),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f553,f599])).
% 0.18/0.36 fof(f618,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_16)),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f550,f604])).
% 0.18/0.36 fof(f648,plain,(
% 0.18/0.36 spl0_21 <=> ~ssList(X0)|ssList(sk0_5(nil,X0))|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f651,plain,(
% 0.18/0.36 ![X0]: (~ssList(X0)|~ssList(nil)|ssList(sk0_5(nil,X0))|~ssList(X0))),
% 0.18/0.36 inference(resolution,[status(thm)],[f122,f295])).
% 0.18/0.36 fof(f652,plain,(
% 0.18/0.36 spl0_21|~spl0_10),
% 0.18/0.36 inference(split_clause,[status(thm)],[f651,f648,f577])).
% 0.18/0.36 fof(f656,plain,(
% 0.18/0.36 spl0_22 <=> cyclefreeP(sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f661,plain,(
% 0.18/0.36 spl0_23 <=> ssList(cons(sk0_51,nil))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f663,plain,(
% 0.18/0.36 ~ssList(cons(sk0_51,nil))|spl0_23),
% 0.18/0.36 inference(component_clause,[status(thm)],[f661])).
% 0.18/0.36 fof(f664,plain,(
% 0.18/0.36 ~ssList(cons(sk0_51,nil))|singletonP(sk0_47)|~ssItem(sk0_51)|~spl0_0),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f547,f464])).
% 0.18/0.36 fof(f665,plain,(
% 0.18/0.36 ~spl0_23|spl0_5|~spl0_6|~spl0_0),
% 0.18/0.36 inference(split_clause,[status(thm)],[f664,f661,f457,f505,f439])).
% 0.18/0.36 fof(f671,plain,(
% 0.18/0.36 ~ssList(sk0_47)|~spl0_0|spl0_23),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f547,f663])).
% 0.18/0.36 fof(f672,plain,(
% 0.18/0.36 $false|~spl0_0|spl0_23),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f671,f420])).
% 0.18/0.36 fof(f673,plain,(
% 0.18/0.36 ~spl0_0|spl0_23),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f672])).
% 0.18/0.36 fof(f676,plain,(
% 0.18/0.36 spl0_25 <=> cons(sk0_4(sk0_47),nil)=sk0_47),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f677,plain,(
% 0.18/0.36 cons(sk0_4(sk0_47),nil)=sk0_47|~spl0_25),
% 0.18/0.36 inference(component_clause,[status(thm)],[f676])).
% 0.18/0.36 fof(f679,plain,(
% 0.18/0.36 ~ssList(sk0_47)|cons(sk0_4(sk0_47),nil)=sk0_47|~spl0_5),
% 0.18/0.36 inference(resolution,[status(thm)],[f458,f117])).
% 0.18/0.36 fof(f680,plain,(
% 0.18/0.36 ~spl0_11|spl0_25|~spl0_5),
% 0.18/0.36 inference(split_clause,[status(thm)],[f679,f580,f676,f457])).
% 0.18/0.36 fof(f681,plain,(
% 0.18/0.36 spl0_26 <=> ssItem(sk0_4(sk0_47))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f682,plain,(
% 0.18/0.36 ssItem(sk0_4(sk0_47))|~spl0_26),
% 0.18/0.36 inference(component_clause,[status(thm)],[f681])).
% 0.18/0.36 fof(f684,plain,(
% 0.18/0.36 ~ssList(sk0_47)|ssItem(sk0_4(sk0_47))|~spl0_5),
% 0.18/0.36 inference(resolution,[status(thm)],[f458,f116])).
% 0.18/0.36 fof(f685,plain,(
% 0.18/0.36 ~spl0_11|spl0_26|~spl0_5),
% 0.18/0.36 inference(split_clause,[status(thm)],[f684,f580,f681,f457])).
% 0.18/0.36 fof(f686,plain,(
% 0.18/0.36 spl0_27 <=> segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f687,plain,(
% 0.18/0.36 segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)|~spl0_27),
% 0.18/0.36 inference(component_clause,[status(thm)],[f686])).
% 0.18/0.36 fof(f689,plain,(
% 0.18/0.36 spl0_28 <=> ssList(sk0_52(sk0_51,sk0_48,sk0_47))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f691,plain,(
% 0.18/0.36 ~ssList(sk0_52(sk0_51,sk0_48,sk0_47))|spl0_28),
% 0.18/0.36 inference(component_clause,[status(thm)],[f689])).
% 0.18/0.36 fof(f692,plain,(
% 0.18/0.36 spl0_29 <=> ssList(sk0_53(sk0_51,sk0_48,sk0_47))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f694,plain,(
% 0.18/0.36 ~ssList(sk0_53(sk0_51,sk0_48,sk0_47))|spl0_29),
% 0.18/0.36 inference(component_clause,[status(thm)],[f692])).
% 0.18/0.36 fof(f695,plain,(
% 0.18/0.36 ~ssList(sk0_48)|~ssList(sk0_47)|segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)|~ssList(sk0_52(sk0_51,sk0_48,sk0_47))|~ssList(sk0_53(sk0_51,sk0_48,sk0_47))|~spl0_0),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f549,f467])).
% 0.18/0.36 fof(f696,plain,(
% 0.18/0.36 ~spl0_13|~spl0_11|spl0_27|~spl0_28|~spl0_29|~spl0_0),
% 0.18/0.36 inference(split_clause,[status(thm)],[f695,f588,f580,f686,f689,f692,f439])).
% 0.18/0.36 fof(f708,plain,(
% 0.18/0.36 ~neq(sk0_4(sk0_47),sk0_4(sk0_47))|~spl0_26),
% 0.18/0.36 inference(resolution,[status(thm)],[f682,f462])).
% 0.18/0.36 fof(f717,plain,(
% 0.18/0.36 ~ssItem(sk0_4(sk0_47))|cyclefreeP(sk0_47)|~spl0_25),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f677,f329])).
% 0.18/0.36 fof(f718,plain,(
% 0.18/0.36 ~spl0_26|spl0_22|~spl0_25),
% 0.18/0.36 inference(split_clause,[status(thm)],[f717,f681,f656,f676])).
% 0.18/0.36 fof(f719,plain,(
% 0.18/0.36 spl0_32 <=> ssList(cons(sk0_4(sk0_47),nil))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f721,plain,(
% 0.18/0.36 ~ssList(cons(sk0_4(sk0_47),nil))|spl0_32),
% 0.18/0.36 inference(component_clause,[status(thm)],[f719])).
% 0.18/0.36 fof(f724,plain,(
% 0.18/0.36 spl0_33 <=> ~ssList(app(X0,sk0_47))|memberP(app(X0,cons(sk0_4(sk0_47),nil)),sk0_4(sk0_47))|~ssList(X0)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f727,plain,(
% 0.18/0.36 ![X0]: (~ssList(app(X0,sk0_47))|~ssItem(sk0_4(sk0_47))|memberP(app(X0,cons(sk0_4(sk0_47),nil)),sk0_4(sk0_47))|~ssList(X0)|~ssList(nil)|~spl0_25)),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f677,f463])).
% 0.18/0.36 fof(f728,plain,(
% 0.18/0.36 spl0_33|~spl0_26|~spl0_10|~spl0_25),
% 0.18/0.36 inference(split_clause,[status(thm)],[f727,f724,f681,f577,f676])).
% 0.18/0.36 fof(f729,plain,(
% 0.18/0.36 ~ssList(sk0_47)|~spl0_25|spl0_32),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f677,f721])).
% 0.18/0.36 fof(f730,plain,(
% 0.18/0.36 $false|~spl0_25|spl0_32),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f729,f420])).
% 0.18/0.36 fof(f731,plain,(
% 0.18/0.36 ~spl0_25|spl0_32),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f730])).
% 0.18/0.36 fof(f734,plain,(
% 0.18/0.36 ~pd0_0(sk0_51,sk0_48,sk0_47)|spl0_28),
% 0.18/0.36 inference(resolution,[status(thm)],[f691,f433])).
% 0.18/0.36 fof(f735,plain,(
% 0.18/0.36 $false|~spl0_0|spl0_28),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f734,f500])).
% 0.18/0.36 fof(f736,plain,(
% 0.18/0.36 ~spl0_0|spl0_28),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f735])).
% 0.18/0.36 fof(f737,plain,(
% 0.18/0.36 spl0_34 <=> ssList(app(sk0_47,nil))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f739,plain,(
% 0.18/0.36 ~ssList(app(sk0_47,nil))|spl0_34),
% 0.18/0.36 inference(component_clause,[status(thm)],[f737])).
% 0.18/0.36 fof(f740,plain,(
% 0.18/0.36 spl0_35 <=> segmentP(sk0_47,sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f743,plain,(
% 0.18/0.36 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_15),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f560,f616])).
% 0.18/0.36 fof(f744,plain,(
% 0.18/0.36 ~spl0_34|spl0_35|~spl0_10|~spl0_15),
% 0.18/0.36 inference(split_clause,[status(thm)],[f743,f737,f740,f577,f598])).
% 0.18/0.36 fof(f745,plain,(
% 0.18/0.36 ~ssList(sk0_47)|spl0_34),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f560,f739])).
% 0.18/0.36 fof(f746,plain,(
% 0.18/0.36 $false|spl0_34),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f745,f420])).
% 0.18/0.36 fof(f747,plain,(
% 0.18/0.36 spl0_34),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f746])).
% 0.18/0.36 fof(f749,plain,(
% 0.18/0.36 spl0_36 <=> ssList(app(sk0_48,nil))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f751,plain,(
% 0.18/0.36 ~ssList(app(sk0_48,nil))|spl0_36),
% 0.18/0.36 inference(component_clause,[status(thm)],[f749])).
% 0.18/0.36 fof(f752,plain,(
% 0.18/0.36 spl0_37 <=> segmentP(sk0_48,sk0_48)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f755,plain,(
% 0.18/0.36 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_16),
% 0.18/0.36 inference(paramodulation,[status(thm)],[f557,f618])).
% 0.18/0.36 fof(f756,plain,(
% 0.18/0.36 ~spl0_36|spl0_37|~spl0_10|~spl0_16),
% 0.18/0.36 inference(split_clause,[status(thm)],[f755,f749,f752,f577,f603])).
% 0.18/0.36 fof(f757,plain,(
% 0.18/0.36 ~ssList(sk0_48)|spl0_36),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f557,f751])).
% 0.18/0.36 fof(f758,plain,(
% 0.18/0.36 $false|spl0_36),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f757,f421])).
% 0.18/0.36 fof(f759,plain,(
% 0.18/0.36 spl0_36),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f758])).
% 0.18/0.36 fof(f766,plain,(
% 0.18/0.36 spl0_38 <=> ssList(sk0_4(sk0_47))),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f769,plain,(
% 0.18/0.36 spl0_39 <=> sk0_4(sk0_47)=sk0_4(sk0_47)),
% 0.18/0.36 introduced(split_symbol_definition)).
% 0.18/0.36 fof(f772,plain,(
% 0.18/0.36 ~ssList(sk0_4(sk0_47))|~ssList(sk0_4(sk0_47))|sk0_4(sk0_47)=sk0_4(sk0_47)|~spl0_26),
% 0.18/0.36 inference(resolution,[status(thm)],[f708,f220])).
% 0.18/0.36 fof(f773,plain,(
% 0.18/0.36 ~spl0_38|spl0_39|~spl0_26),
% 0.18/0.36 inference(split_clause,[status(thm)],[f772,f766,f769,f681])).
% 0.18/0.36 fof(f774,plain,(
% 0.18/0.36 ~pd0_0(sk0_51,sk0_48,sk0_47)|spl0_29),
% 0.18/0.36 inference(resolution,[status(thm)],[f694,f434])).
% 0.18/0.36 fof(f775,plain,(
% 0.18/0.36 $false|~spl0_0|spl0_29),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f774,f500])).
% 0.18/0.36 fof(f776,plain,(
% 0.18/0.36 ~spl0_0|spl0_29),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f775])).
% 0.18/0.36 fof(f777,plain,(
% 0.18/0.36 segmentP(sk0_48,sk0_47)|~spl0_0|~spl0_27),
% 0.18/0.36 inference(forward_demodulation,[status(thm)],[f549,f687])).
% 0.18/0.36 fof(f778,plain,(
% 0.18/0.36 $false|spl0_3|~spl0_0|~spl0_27),
% 0.18/0.36 inference(forward_subsumption_resolution,[status(thm)],[f777,f452])).
% 0.18/0.36 fof(f779,plain,(
% 0.18/0.36 spl0_3|~spl0_0|~spl0_27),
% 0.18/0.36 inference(contradiction_clause,[status(thm)],[f778])).
% 0.18/0.36 fof(f780,plain,(
% 0.18/0.36 $false),
% 0.18/0.36 inference(sat_refutation,[status(thm)],[f445,f449,f456,f460,f529,f531,f542,f584,f592,f597,f602,f607,f609,f611,f613,f652,f665,f673,f680,f685,f696,f718,f728,f731,f736,f744,f747,f756,f759,f773,f776,f779])).
% 0.18/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.37 % Elapsed time: 0.027744 seconds
% 0.18/0.37 % CPU time: 0.059546 seconds
% 0.18/0.37 % Total memory used: 17.239 MB
% 0.18/0.37 % Net memory used: 17.177 MB
%------------------------------------------------------------------------------