TSTP Solution File: SWC109+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC109+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:44:33 EDT 2024
% Result : Theorem 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC109+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 00:07:29 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.48 fof(f3,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f5,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f6,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f7,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f15,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f17,axiom,(
% 0.15/0.48 ssList(nil) ),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f18,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f19,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f28,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f55,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f57,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f58,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f84,axiom,(
% 0.15/0.48 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f96,conjecture,(
% 0.15/0.48 (! [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 ) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& segmentP(V,U) ) ) ) ) )) )) )) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f97,negated_conjecture,(
% 0.15/0.48 ~((! [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 ) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& segmentP(V,U) ) ) ) ) )) )) )) ))),
% 0.15/0.48 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.48 fof(f106,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.48 fof(f107,plain,(
% 0.15/0.48 ![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)))))))))),
% 0.15/0.48 inference(NNF_transformation,[status(esa)],[f106])).
% 0.15/0.48 fof(f108,plain,(
% 0.15/0.48 ![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)))))))))),
% 0.15/0.48 inference(skolemization,[status(esa)],[f107])).
% 0.15/0.48 fof(f111,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.48 fof(f119,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.48 fof(f120,plain,(
% 0.15/0.48 ![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)))))))),
% 0.15/0.48 inference(NNF_transformation,[status(esa)],[f119])).
% 0.15/0.48 fof(f121,plain,(
% 0.15/0.48 ![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)))))))),
% 0.15/0.48 inference(skolemization,[status(esa)],[f120])).
% 0.15/0.48 fof(f123,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f121])).
% 0.15/0.48 fof(f124,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f121])).
% 0.15/0.48 fof(f125,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.48 fof(f126,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.15/0.48 inference(NNF_transformation,[status(esa)],[f125])).
% 0.15/0.48 fof(f127,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sk0_6(V,U))&app(sk0_6(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.15/0.48 inference(skolemization,[status(esa)],[f126])).
% 0.15/0.48 fof(f129,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sk0_6(X1,X0),X1)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f127])).
% 0.15/0.48 fof(f130,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|rearsegP(X0,X1)|~ssList(X2)|~app(X2,X1)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f127])).
% 0.15/0.48 fof(f131,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.48 fof(f132,plain,(
% 0.15/0.48 ![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)))))))))),
% 0.15/0.48 inference(NNF_transformation,[status(esa)],[f131])).
% 0.15/0.48 fof(f133,plain,(
% 0.15/0.48 ![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)))))))))),
% 0.15/0.48 inference(skolemization,[status(esa)],[f132])).
% 0.15/0.48 fof(f137,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.48 fof(f217,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.48 fof(f218,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.48 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.48 fof(f220,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.48 fof(f223,plain,(
% 0.15/0.48 ssList(nil)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.48 fof(f224,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.15/0.48 fof(f225,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f224])).
% 0.15/0.48 fof(f226,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.15/0.48 fof(f227,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f226])).
% 0.15/0.48 fof(f248,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.15/0.48 fof(f249,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f248])).
% 0.15/0.48 fof(f318,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.15/0.48 fof(f319,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f318])).
% 0.15/0.48 fof(f322,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.15/0.48 fof(f323,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f322])).
% 0.15/0.48 fof(f324,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.15/0.48 fof(f325,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.15/0.48 inference(NNF_transformation,[status(esa)],[f324])).
% 0.15/0.48 fof(f326,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f325])).
% 0.15/0.48 fof(f327,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|segmentP(nil,X0)|~nil=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f325])).
% 0.15/0.48 fof(f388,plain,(
% 0.15/0.48 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.15/0.48 fof(f389,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f388])).
% 0.15/0.48 fof(f415,plain,(
% 0.15/0.48 (?[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)))&((nil=V&~nil=U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.48 fof(f416,plain,(
% 0.15/0.48 ![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)))))))))),
% 0.15/0.48 introduced(predicate_definition,[f415])).
% 0.15/0.48 fof(f417,plain,(
% 0.15/0.48 ![U,V]: (pd0_1(V,U)=>(nil=V&~nil=U))),
% 0.15/0.48 introduced(predicate_definition,[f415])).
% 0.15/0.48 fof(f418,plain,(
% 0.15/0.48 ?[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)))&(pd0_1(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U)))))))))))),
% 0.15/0.48 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.15/0.48 fof(f419,plain,(
% 0.15/0.48 ?[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))))&(pd0_1(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))),
% 0.15/0.48 inference(miniscoping,[status(esa)],[f418])).
% 0.15/0.48 fof(f420,plain,(
% 0.15/0.48 (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)))&(pd0_1(sk0_48,sk0_47)|(neq(sk0_48,nil)&(~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47))))))))),
% 0.15/0.48 inference(skolemization,[status(esa)],[f419])).
% 0.15/0.48 fof(f421,plain,(
% 0.15/0.48 ssList(sk0_47)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f422,plain,(
% 0.15/0.48 ssList(sk0_48)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f425,plain,(
% 0.15/0.48 sk0_48=sk0_50),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f426,plain,(
% 0.15/0.48 sk0_47=sk0_49),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f427,plain,(
% 0.15/0.48 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_50),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f428,plain,(
% 0.15/0.48 pd0_0(sk0_51,sk0_50,sk0_49)|nil=sk0_49),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f429,plain,(
% 0.15/0.48 pd0_1(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f430,plain,(
% 0.15/0.48 pd0_1(sk0_48,sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f420])).
% 0.15/0.48 fof(f431,plain,(
% 0.15/0.48 ![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)))))))))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.15/0.48 fof(f432,plain,(
% 0.15/0.48 ![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)))))))),
% 0.15/0.48 inference(skolemization,[status(esa)],[f431])).
% 0.15/0.48 fof(f433,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.48 fof(f434,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_52(X0,X1,X2)))),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.48 fof(f435,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_53(X0,X1,X2)))),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.48 fof(f436,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.48 fof(f437,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(app(sk0_52(X0,X1,X2),X2),sk0_53(X0,X1,X2))=X1)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f432])).
% 0.15/0.48 fof(f440,plain,(
% 0.15/0.48 ![U,V]: (~pd0_1(V,U)|(nil=V&~nil=U))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 0.15/0.48 fof(f441,plain,(
% 0.15/0.48 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f440])).
% 0.15/0.48 fof(f442,plain,(
% 0.15/0.48 ![X0,X1]: (~pd0_1(X0,X1)|~nil=X1)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f440])).
% 0.15/0.48 fof(f443,plain,(
% 0.15/0.48 spl0_0 <=> pd0_0(sk0_51,sk0_50,sk0_49)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f444,plain,(
% 0.15/0.48 pd0_0(sk0_51,sk0_50,sk0_49)|~spl0_0),
% 0.15/0.48 inference(component_clause,[status(thm)],[f443])).
% 0.15/0.48 fof(f446,plain,(
% 0.15/0.48 spl0_1 <=> nil=sk0_50),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f447,plain,(
% 0.15/0.48 nil=sk0_50|~spl0_1),
% 0.15/0.48 inference(component_clause,[status(thm)],[f446])).
% 0.15/0.48 fof(f449,plain,(
% 0.15/0.48 spl0_0|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f427,f443,f446])).
% 0.15/0.48 fof(f450,plain,(
% 0.15/0.48 spl0_2 <=> nil=sk0_49),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f451,plain,(
% 0.15/0.48 nil=sk0_49|~spl0_2),
% 0.15/0.48 inference(component_clause,[status(thm)],[f450])).
% 0.15/0.48 fof(f452,plain,(
% 0.15/0.48 ~nil=sk0_49|spl0_2),
% 0.15/0.48 inference(component_clause,[status(thm)],[f450])).
% 0.15/0.48 fof(f453,plain,(
% 0.15/0.48 spl0_0|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f428,f443,f450])).
% 0.15/0.48 fof(f454,plain,(
% 0.15/0.48 spl0_3 <=> pd0_1(sk0_48,sk0_47)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f455,plain,(
% 0.15/0.48 pd0_1(sk0_48,sk0_47)|~spl0_3),
% 0.15/0.48 inference(component_clause,[status(thm)],[f454])).
% 0.15/0.48 fof(f457,plain,(
% 0.15/0.48 spl0_4 <=> neq(sk0_48,nil)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f458,plain,(
% 0.15/0.48 neq(sk0_48,nil)|~spl0_4),
% 0.15/0.48 inference(component_clause,[status(thm)],[f457])).
% 0.15/0.48 fof(f460,plain,(
% 0.15/0.48 spl0_3|spl0_4),
% 0.15/0.48 inference(split_clause,[status(thm)],[f429,f454,f457])).
% 0.15/0.48 fof(f461,plain,(
% 0.15/0.48 spl0_5 <=> neq(sk0_47,nil)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f463,plain,(
% 0.15/0.48 ~neq(sk0_47,nil)|spl0_5),
% 0.15/0.48 inference(component_clause,[status(thm)],[f461])).
% 0.15/0.48 fof(f464,plain,(
% 0.15/0.48 spl0_6 <=> segmentP(sk0_48,sk0_47)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f465,plain,(
% 0.15/0.48 segmentP(sk0_48,sk0_47)|~spl0_6),
% 0.15/0.48 inference(component_clause,[status(thm)],[f464])).
% 0.15/0.48 fof(f466,plain,(
% 0.15/0.48 ~segmentP(sk0_48,sk0_47)|spl0_6),
% 0.15/0.48 inference(component_clause,[status(thm)],[f464])).
% 0.15/0.48 fof(f467,plain,(
% 0.15/0.48 spl0_3|~spl0_5|~spl0_6),
% 0.15/0.48 inference(split_clause,[status(thm)],[f430,f454,f461,f464])).
% 0.15/0.48 fof(f482,plain,(
% 0.15/0.48 pd0_0(sk0_51,sk0_48,sk0_49)|~spl0_0),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f425,f444])).
% 0.15/0.48 fof(f483,plain,(
% 0.15/0.48 pd0_0(sk0_51,sk0_48,sk0_47)|~spl0_0),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f426,f482])).
% 0.15/0.48 fof(f484,plain,(
% 0.15/0.48 ssItem(sk0_51)|~spl0_0),
% 0.15/0.48 inference(resolution,[status(thm)],[f483,f433])).
% 0.15/0.48 fof(f485,plain,(
% 0.15/0.48 nil=sk0_48|~spl0_3),
% 0.15/0.48 inference(resolution,[status(thm)],[f455,f441])).
% 0.15/0.48 fof(f486,plain,(
% 0.15/0.48 pd0_1(nil,sk0_47)|~spl0_3),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f485,f455])).
% 0.15/0.48 fof(f495,plain,(
% 0.15/0.48 ![X0]: (~pd0_1(X0,nil))),
% 0.15/0.48 inference(equality_resolution,[status(esa)],[f442])).
% 0.15/0.48 fof(f502,plain,(
% 0.15/0.48 spl0_8 <=> ssItem(sk0_51)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f504,plain,(
% 0.15/0.48 ~ssItem(sk0_51)|spl0_8),
% 0.15/0.48 inference(component_clause,[status(thm)],[f502])).
% 0.15/0.48 fof(f505,plain,(
% 0.15/0.48 spl0_9 <=> ssList(nil)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f507,plain,(
% 0.15/0.48 ~ssList(nil)|spl0_9),
% 0.15/0.48 inference(component_clause,[status(thm)],[f505])).
% 0.15/0.48 fof(f519,plain,(
% 0.15/0.48 spl0_12 <=> sk0_47=nil),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f520,plain,(
% 0.15/0.48 sk0_47=nil|~spl0_12),
% 0.15/0.48 inference(component_clause,[status(thm)],[f519])).
% 0.15/0.48 fof(f524,plain,(
% 0.15/0.48 cons(sk0_51,nil)=sk0_47|~spl0_0),
% 0.15/0.48 inference(resolution,[status(thm)],[f483,f436])).
% 0.15/0.48 fof(f528,plain,(
% 0.15/0.48 sk0_48=nil|~spl0_1),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f447,f425])).
% 0.15/0.48 fof(f531,plain,(
% 0.15/0.48 sk0_47=nil|~spl0_2),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f451,f426])).
% 0.15/0.48 fof(f534,plain,(
% 0.15/0.48 ~segmentP(nil,sk0_47)|~spl0_1|spl0_6),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f528,f466])).
% 0.15/0.48 fof(f535,plain,(
% 0.15/0.48 neq(nil,nil)|~spl0_1|~spl0_4),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f528,f458])).
% 0.15/0.48 fof(f540,plain,(
% 0.15/0.48 ~segmentP(nil,nil)|~spl0_2|~spl0_1|spl0_6),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f531,f534])).
% 0.15/0.48 fof(f541,plain,(
% 0.15/0.48 ~ssList(nil)|~spl0_2|~spl0_1|spl0_6),
% 0.15/0.48 inference(resolution,[status(thm)],[f540,f319])).
% 0.15/0.48 fof(f542,plain,(
% 0.15/0.48 ~spl0_9|~spl0_2|~spl0_1|spl0_6),
% 0.15/0.48 inference(split_clause,[status(thm)],[f541,f505,f450,f446,f464])).
% 0.15/0.48 fof(f543,plain,(
% 0.15/0.48 $false|spl0_8|~spl0_0),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f484,f504])).
% 0.15/0.48 fof(f544,plain,(
% 0.15/0.48 spl0_8|~spl0_0),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f543])).
% 0.15/0.48 fof(f549,plain,(
% 0.15/0.48 segmentP(nil,sk0_47)|~spl0_3|~spl0_6),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f485,f465])).
% 0.15/0.48 fof(f555,plain,(
% 0.15/0.48 sk0_47=nil|~spl0_2),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f451,f426])).
% 0.15/0.48 fof(f558,plain,(
% 0.15/0.48 pd0_1(nil,nil)|~spl0_2|~spl0_3),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f531,f486])).
% 0.15/0.48 fof(f559,plain,(
% 0.15/0.48 $false|~spl0_2|~spl0_3),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f558,f495])).
% 0.15/0.48 fof(f560,plain,(
% 0.15/0.48 ~spl0_2|~spl0_3),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f559])).
% 0.15/0.48 fof(f561,plain,(
% 0.15/0.48 ~nil=sk0_47|spl0_2),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f426,f452])).
% 0.15/0.48 fof(f562,plain,(
% 0.15/0.48 $false|spl0_9),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f507,f223])).
% 0.15/0.48 fof(f563,plain,(
% 0.15/0.48 spl0_9),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f562])).
% 0.15/0.48 fof(f564,plain,(
% 0.15/0.48 $false|spl0_2|~spl0_12),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f520,f561])).
% 0.15/0.48 fof(f565,plain,(
% 0.15/0.48 spl0_2|~spl0_12),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f564])).
% 0.15/0.48 fof(f576,plain,(
% 0.15/0.48 ~neq(nil,nil)|~spl0_2|spl0_5),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f555,f463])).
% 0.15/0.48 fof(f577,plain,(
% 0.15/0.48 spl0_13 <=> nil=nil),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f595,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(sk0_52(X2,X0,X1))|~ssList(sk0_53(X2,X0,X1))|~pd0_0(X2,X0,X1))),
% 0.15/0.48 inference(resolution,[status(thm)],[f137,f437])).
% 0.15/0.48 fof(f596,plain,(
% 0.15/0.48 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(sk0_53(X2,X0,X1))|~pd0_0(X2,X0,X1))),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f595,f434])).
% 0.15/0.48 fof(f599,plain,(
% 0.15/0.48 spl0_15 <=> ssList(sk0_47)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f601,plain,(
% 0.15/0.48 ~ssList(sk0_47)|spl0_15),
% 0.15/0.48 inference(component_clause,[status(thm)],[f599])).
% 0.15/0.48 fof(f602,plain,(
% 0.15/0.48 ~ssList(sk0_47)|~ssList(nil)|sk0_47=nil|spl0_5),
% 0.15/0.48 inference(resolution,[status(thm)],[f220,f463])).
% 0.15/0.48 fof(f603,plain,(
% 0.15/0.48 ~spl0_15|~spl0_9|spl0_12|spl0_5),
% 0.15/0.48 inference(split_clause,[status(thm)],[f602,f599,f505,f519,f461])).
% 0.15/0.48 fof(f604,plain,(
% 0.15/0.48 $false|spl0_15),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f601,f421])).
% 0.15/0.48 fof(f605,plain,(
% 0.15/0.48 spl0_15),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f604])).
% 0.15/0.48 fof(f606,plain,(
% 0.15/0.48 spl0_16 <=> ~ssList(X0)|~ssList(X0)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f607,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_16)),
% 0.15/0.48 inference(component_clause,[status(thm)],[f606])).
% 0.15/0.48 fof(f609,plain,(
% 0.15/0.48 spl0_17 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f612,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.15/0.48 inference(equality_resolution,[status(esa)],[f227])).
% 0.15/0.48 fof(f613,plain,(
% 0.15/0.48 spl0_16|spl0_17),
% 0.15/0.48 inference(split_clause,[status(thm)],[f612,f606,f609])).
% 0.15/0.48 fof(f614,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|~spl0_16)),
% 0.15/0.48 inference(duplicate_literals_removal,[status(esa)],[f607])).
% 0.15/0.48 fof(f623,plain,(
% 0.15/0.48 $false|~spl0_16),
% 0.15/0.48 inference(backward_subsumption_resolution,[status(thm)],[f421,f614])).
% 0.15/0.48 fof(f624,plain,(
% 0.15/0.48 ~spl0_16),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f623])).
% 0.15/0.48 fof(f639,plain,(
% 0.15/0.48 spl0_20 <=> ~pd0_1(X0,app(nil,nil))),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f642,plain,(
% 0.15/0.48 ![X0]: (~ssList(nil)|~pd0_1(X0,app(nil,nil)))),
% 0.15/0.48 inference(resolution,[status(thm)],[f249,f442])).
% 0.15/0.48 fof(f643,plain,(
% 0.15/0.48 ~spl0_9|spl0_20),
% 0.15/0.48 inference(split_clause,[status(thm)],[f642,f505,f639])).
% 0.15/0.48 fof(f646,plain,(
% 0.15/0.48 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.48 inference(resolution,[status(thm)],[f326,f323])).
% 0.15/0.48 fof(f647,plain,(
% 0.15/0.48 ~spl0_9|spl0_13),
% 0.15/0.48 inference(split_clause,[status(thm)],[f646,f505,f577])).
% 0.15/0.48 fof(f650,plain,(
% 0.15/0.48 spl0_21 <=> ssList(sk0_49)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f652,plain,(
% 0.15/0.48 ~ssList(sk0_49)|spl0_21),
% 0.15/0.48 inference(component_clause,[status(thm)],[f650])).
% 0.15/0.48 fof(f682,plain,(
% 0.15/0.48 spl0_28 <=> segmentP(nil,nil)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f685,plain,(
% 0.15/0.48 ~ssList(nil)|segmentP(nil,nil)),
% 0.15/0.48 inference(equality_resolution,[status(esa)],[f327])).
% 0.15/0.48 fof(f686,plain,(
% 0.15/0.48 ~spl0_9|spl0_28),
% 0.15/0.48 inference(split_clause,[status(thm)],[f685,f505,f682])).
% 0.15/0.48 fof(f706,plain,(
% 0.15/0.48 $false|~spl0_2|spl0_5|~spl0_1|~spl0_4),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f535,f576])).
% 0.15/0.48 fof(f707,plain,(
% 0.15/0.48 ~spl0_2|spl0_5|~spl0_1|~spl0_4),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f706])).
% 0.15/0.48 fof(f711,plain,(
% 0.15/0.48 spl0_29 <=> ssList(sk0_48)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f713,plain,(
% 0.15/0.48 ~ssList(sk0_48)|spl0_29),
% 0.15/0.48 inference(component_clause,[status(thm)],[f711])).
% 0.15/0.48 fof(f742,plain,(
% 0.15/0.48 spl0_33 <=> ~ssItem(X0)|~memberP(nil,X0)|~ssList(app(sk0_2(X0,nil),cons(X0,sk0_3(X0,nil))))|segmentP(nil,app(sk0_2(X0,nil),cons(X0,sk0_3(X0,nil))))),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f745,plain,(
% 0.15/0.48 ![X0]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~ssList(app(sk0_2(X0,nil),cons(X0,sk0_3(X0,nil))))|segmentP(nil,app(sk0_2(X0,nil),cons(X0,sk0_3(X0,nil)))))),
% 0.15/0.48 inference(resolution,[status(thm)],[f111,f327])).
% 0.15/0.48 fof(f746,plain,(
% 0.15/0.48 ~spl0_9|spl0_33),
% 0.15/0.48 inference(split_clause,[status(thm)],[f745,f505,f742])).
% 0.15/0.48 fof(f747,plain,(
% 0.15/0.48 spl0_34 <=> ~ssItem(X0)|~memberP(nil,X0)|~pd0_1(X1,app(sk0_2(X0,nil),cons(X0,sk0_3(X0,nil))))),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f750,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(nil)|~ssItem(X0)|~memberP(nil,X0)|~pd0_1(X1,app(sk0_2(X0,nil),cons(X0,sk0_3(X0,nil)))))),
% 0.15/0.48 inference(resolution,[status(thm)],[f111,f442])).
% 0.15/0.48 fof(f751,plain,(
% 0.15/0.48 ~spl0_9|spl0_34),
% 0.15/0.48 inference(split_clause,[status(thm)],[f750,f505,f747])).
% 0.15/0.48 fof(f780,plain,(
% 0.15/0.48 spl0_40 <=> ~ssList(X0)|~frontsegP(nil,X0)|~ssList(app(X0,sk0_5(X0,nil)))|segmentP(nil,app(X0,sk0_5(X0,nil)))),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f783,plain,(
% 0.15/0.48 ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~ssList(app(X0,sk0_5(X0,nil)))|segmentP(nil,app(X0,sk0_5(X0,nil))))),
% 0.15/0.48 inference(resolution,[status(thm)],[f123,f327])).
% 0.15/0.48 fof(f784,plain,(
% 0.15/0.48 ~spl0_9|spl0_40),
% 0.15/0.48 inference(split_clause,[status(thm)],[f783,f505,f780])).
% 0.15/0.48 fof(f785,plain,(
% 0.15/0.48 spl0_41 <=> ~ssList(X0)|~frontsegP(nil,X0)|~pd0_1(X1,app(X0,sk0_5(X0,nil)))),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f788,plain,(
% 0.15/0.48 ![X0,X1]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|~pd0_1(X1,app(X0,sk0_5(X0,nil))))),
% 0.15/0.48 inference(resolution,[status(thm)],[f123,f442])).
% 0.15/0.48 fof(f789,plain,(
% 0.15/0.48 ~spl0_9|spl0_41),
% 0.15/0.48 inference(split_clause,[status(thm)],[f788,f505,f785])).
% 0.15/0.48 fof(f793,plain,(
% 0.15/0.48 spl0_42 <=> ~ssList(X0)|frontsegP(X0,nil)|~ssList(X0)|~ssList(X0)),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f796,plain,(
% 0.15/0.48 ![X0]: (~ssList(X0)|~ssList(nil)|frontsegP(X0,nil)|~ssList(X0)|~ssList(X0))),
% 0.15/0.48 inference(resolution,[status(thm)],[f124,f249])).
% 0.15/0.48 fof(f797,plain,(
% 0.15/0.48 spl0_42|~spl0_9),
% 0.15/0.48 inference(split_clause,[status(thm)],[f796,f793,f505])).
% 0.15/0.49 fof(f799,plain,(
% 0.15/0.49 spl0_43 <=> ~ssList(X0)|~ssList(X0)|frontsegP(X0,X0)|~ssList(X0)),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f802,plain,(
% 0.15/0.49 ![X0]: (~ssList(X0)|~ssList(X0)|frontsegP(X0,X0)|~ssList(nil)|~ssList(X0))),
% 0.15/0.49 inference(resolution,[status(thm)],[f124,f389])).
% 0.15/0.49 fof(f803,plain,(
% 0.15/0.49 spl0_43|~spl0_9),
% 0.15/0.49 inference(split_clause,[status(thm)],[f802,f799,f505])).
% 0.15/0.49 fof(f818,plain,(
% 0.15/0.49 spl0_44 <=> ~ssList(X0)|~rearsegP(nil,X0)|~ssList(app(sk0_6(X0,nil),X0))|segmentP(nil,app(sk0_6(X0,nil),X0))),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f821,plain,(
% 0.15/0.49 ![X0]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~ssList(app(sk0_6(X0,nil),X0))|segmentP(nil,app(sk0_6(X0,nil),X0)))),
% 0.15/0.49 inference(resolution,[status(thm)],[f129,f327])).
% 0.15/0.49 fof(f822,plain,(
% 0.15/0.49 ~spl0_9|spl0_44),
% 0.15/0.49 inference(split_clause,[status(thm)],[f821,f505,f818])).
% 0.15/0.49 fof(f823,plain,(
% 0.15/0.49 spl0_45 <=> ~ssList(X0)|~rearsegP(nil,X0)|~pd0_1(X1,app(sk0_6(X0,nil),X0))),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f826,plain,(
% 0.15/0.49 ![X0,X1]: (~ssList(nil)|~ssList(X0)|~rearsegP(nil,X0)|~pd0_1(X1,app(sk0_6(X0,nil),X0)))),
% 0.15/0.49 inference(resolution,[status(thm)],[f129,f442])).
% 0.15/0.49 fof(f827,plain,(
% 0.15/0.49 ~spl0_9|spl0_45),
% 0.15/0.49 inference(split_clause,[status(thm)],[f826,f505,f823])).
% 0.15/0.49 fof(f831,plain,(
% 0.15/0.49 spl0_46 <=> ~ssList(X0)|~ssList(X0)|rearsegP(X0,X0)|~ssList(X0)),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f834,plain,(
% 0.15/0.49 ![X0]: (~ssList(X0)|~ssList(X0)|rearsegP(X0,X0)|~ssList(nil)|~ssList(X0))),
% 0.15/0.49 inference(resolution,[status(thm)],[f130,f249])).
% 0.15/0.49 fof(f835,plain,(
% 0.15/0.49 spl0_46|~spl0_9),
% 0.15/0.49 inference(split_clause,[status(thm)],[f834,f831,f505])).
% 0.15/0.49 fof(f840,plain,(
% 0.15/0.49 spl0_47 <=> ~ssList(X0)|rearsegP(X0,nil)|~ssList(X0)|~ssList(X0)),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f843,plain,(
% 0.15/0.49 ![X0]: (~ssList(X0)|~ssList(nil)|rearsegP(X0,nil)|~ssList(X0)|~ssList(X0))),
% 0.15/0.49 inference(resolution,[status(thm)],[f130,f389])).
% 0.15/0.49 fof(f844,plain,(
% 0.15/0.49 spl0_47|~spl0_9),
% 0.15/0.49 inference(split_clause,[status(thm)],[f843,f840,f505])).
% 0.15/0.49 fof(f886,plain,(
% 0.15/0.49 ~ssList(nil)|~ssItem(sk0_51)|~sk0_47=nil|~spl0_0),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f524,f225])).
% 0.15/0.49 fof(f887,plain,(
% 0.15/0.49 ~spl0_9|~spl0_8|~spl0_12|~spl0_0),
% 0.15/0.49 inference(split_clause,[status(thm)],[f886,f505,f502,f519,f443])).
% 0.15/0.49 fof(f940,plain,(
% 0.15/0.49 ~ssList(sk0_47)|spl0_21),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f426,f652])).
% 0.15/0.49 fof(f941,plain,(
% 0.15/0.49 $false|spl0_21),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f940,f421])).
% 0.15/0.49 fof(f942,plain,(
% 0.15/0.49 spl0_21),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f941])).
% 0.15/0.49 fof(f974,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~pd0_0(X2,X0,X1))),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f596,f435])).
% 0.15/0.49 fof(f975,plain,(
% 0.15/0.49 ~ssList(sk0_48)|~ssList(sk0_47)|segmentP(sk0_48,sk0_47)|~spl0_0),
% 0.15/0.49 inference(resolution,[status(thm)],[f974,f483])).
% 0.15/0.49 fof(f976,plain,(
% 0.15/0.49 ~spl0_29|~spl0_15|spl0_6|~spl0_0),
% 0.15/0.49 inference(split_clause,[status(thm)],[f975,f711,f599,f464,f443])).
% 0.15/0.49 fof(f977,plain,(
% 0.15/0.49 $false|spl0_29),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f713,f422])).
% 0.15/0.49 fof(f978,plain,(
% 0.15/0.49 spl0_29),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f977])).
% 0.15/0.49 fof(f997,plain,(
% 0.15/0.49 ~ssList(sk0_47)|nil=sk0_47|~spl0_3|~spl0_6),
% 0.15/0.49 inference(resolution,[status(thm)],[f549,f326])).
% 0.15/0.49 fof(f998,plain,(
% 0.15/0.49 ~spl0_15|spl0_12|~spl0_3|~spl0_6),
% 0.15/0.49 inference(split_clause,[status(thm)],[f997,f599,f519,f454,f464])).
% 0.15/0.49 fof(f999,plain,(
% 0.15/0.49 $false),
% 0.15/0.49 inference(sat_refutation,[status(thm)],[f449,f453,f460,f467,f542,f544,f560,f563,f565,f603,f605,f613,f624,f643,f647,f686,f707,f746,f751,f784,f789,f797,f803,f822,f827,f835,f844,f887,f942,f976,f978,f998])).
% 0.15/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.50 % Elapsed time: 0.165164 seconds
% 0.15/0.50 % CPU time: 1.154186 seconds
% 0.15/0.50 % Total memory used: 78.362 MB
% 0.15/0.50 % Net memory used: 77.251 MB
%------------------------------------------------------------------------------