TSTP Solution File: SWC110+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC110+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:39:17 EDT 2023
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWC110+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n025.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:36:27 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,axiom,(
% 0.14/0.37 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,axiom,(
% 0.14/0.37 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f5,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f7,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f15,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f17,axiom,(
% 0.14/0.37 ssList(nil) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f26,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f28,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f45,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f57,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f58,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f84,axiom,(
% 0.14/0.37 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f96,conjecture,(
% 0.14/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ equalelemsP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssList(X2)& app(X2,cons(Z,nil)) = W ) )) )) )) ))| ( nil != X& nil = W )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& segmentP(V,U) ) ) ) ) ) )) )) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f97,negated_conjecture,(
% 0.14/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ equalelemsP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssList(X2)& app(X2,cons(Z,nil)) = W ) )) )) )) ))| ( nil != X& nil = W )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& segmentP(V,U) ) ) ) ) ) )) )) )) ))),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.37 fof(f98,plain,(
% 0.14/0.37 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.37 fof(f99,plain,(
% 0.14/0.37 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f98])).
% 0.14/0.37 fof(f100,plain,(
% 0.14/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.37 fof(f101,plain,(
% 0.14/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f99])).
% 0.14/0.37 fof(f102,plain,(
% 0.14/0.37 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f2])).
% 0.14/0.37 fof(f103,plain,(
% 0.14/0.37 ssItem(sk0_0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.37 fof(f104,plain,(
% 0.14/0.37 ssItem(sk0_1)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.14/0.37 fof(f119,plain,(
% 0.14/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.37 fof(f120,plain,(
% 0.14/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f119])).
% 0.14/0.37 fof(f121,plain,(
% 0.14/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f120])).
% 0.14/0.38 fof(f122,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|ssList(sk0_5(X1,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.38 fof(f131,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f131])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f132])).
% 0.14/0.38 fof(f137,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f133])).
% 0.14/0.38 fof(f217,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.38 fof(f218,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f217])).
% 0.14/0.38 fof(f219,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.38 fof(f220,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f218])).
% 0.14/0.38 fof(f223,plain,(
% 0.14/0.38 ssList(nil)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.38 fof(f244,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.14/0.38 fof(f245,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f244])).
% 0.14/0.38 fof(f248,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.14/0.38 fof(f249,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f248])).
% 0.14/0.38 fof(f294,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.14/0.38 fof(f295,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f294])).
% 0.14/0.38 fof(f322,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.14/0.38 fof(f323,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f322])).
% 0.14/0.38 fof(f324,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.14/0.38 fof(f325,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f324])).
% 0.14/0.38 fof(f326,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f325])).
% 0.14/0.38 fof(f388,plain,(
% 0.14/0.38 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.14/0.38 fof(f389,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f388])).
% 0.14/0.38 fof(f415,plain,(
% 0.14/0.38 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&equalelemsP(W))&(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(cons(Z,nil),X1)=Y)|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=W))))))))))&(nil=X|~nil=W))&((nil=V&~nil=U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U)))))))))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.14/0.38 fof(f416,plain,(
% 0.14/0.38 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.14/0.38 introduced(predicate_definition,[f415])).
% 0.14/0.38 fof(f417,plain,(
% 0.14/0.38 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&equalelemsP(W))&(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(cons(Z,nil),X1)=Y)|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=W))))))))))&(nil=X|~nil=W))&(pd0_0(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.14/0.38 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.38 fof(f418,plain,(
% 0.14/0.38 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&equalelemsP(W))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=Y))|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=W)))))))))&(nil=X|~nil=W))&(pd0_0(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f417])).
% 0.14/0.38 fof(f419,plain,(
% 0.14/0.38 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&((app(sk0_49,sk0_51)=sk0_50&equalelemsP(sk0_49))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=sk0_51))|(![X2]: (~ssList(X2)|~app(X2,cons(Z,nil))=sk0_49))))))))&(nil=sk0_50|~nil=sk0_49))&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)))))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f418])).
% 0.14/0.38 fof(f420,plain,(
% 0.14/0.38 ssList(sk0_47)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f421,plain,(
% 0.14/0.38 ssList(sk0_48)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f424,plain,(
% 0.14/0.38 sk0_48=sk0_50),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f425,plain,(
% 0.14/0.38 sk0_47=sk0_49),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f426,plain,(
% 0.14/0.38 ssList(sk0_51)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f427,plain,(
% 0.14/0.38 app(sk0_49,sk0_51)=sk0_50),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f430,plain,(
% 0.14/0.38 nil=sk0_50|~nil=sk0_49),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f431,plain,(
% 0.14/0.38 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f432,plain,(
% 0.14/0.38 pd0_0(sk0_48,sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f419])).
% 0.14/0.38 fof(f433,plain,(
% 0.14/0.38 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.14/0.38 fof(f434,plain,(
% 0.14/0.38 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f433])).
% 0.14/0.38 fof(f435,plain,(
% 0.14/0.38 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f433])).
% 0.14/0.38 fof(f436,plain,(
% 0.14/0.38 spl0_0 <=> nil=sk0_50),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f437,plain,(
% 0.14/0.38 nil=sk0_50|~spl0_0),
% 0.14/0.38 inference(component_clause,[status(thm)],[f436])).
% 0.14/0.38 fof(f439,plain,(
% 0.14/0.38 spl0_1 <=> nil=sk0_49),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f441,plain,(
% 0.14/0.38 ~nil=sk0_49|spl0_1),
% 0.14/0.38 inference(component_clause,[status(thm)],[f439])).
% 0.14/0.38 fof(f442,plain,(
% 0.14/0.38 spl0_0|~spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f430,f436,f439])).
% 0.14/0.38 fof(f443,plain,(
% 0.14/0.38 spl0_2 <=> pd0_0(sk0_48,sk0_47)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f444,plain,(
% 0.14/0.38 pd0_0(sk0_48,sk0_47)|~spl0_2),
% 0.14/0.38 inference(component_clause,[status(thm)],[f443])).
% 0.14/0.38 fof(f446,plain,(
% 0.14/0.38 spl0_3 <=> neq(sk0_48,nil)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f447,plain,(
% 0.14/0.38 neq(sk0_48,nil)|~spl0_3),
% 0.14/0.38 inference(component_clause,[status(thm)],[f446])).
% 0.14/0.38 fof(f449,plain,(
% 0.14/0.38 spl0_2|spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f431,f443,f446])).
% 0.14/0.38 fof(f450,plain,(
% 0.14/0.38 spl0_4 <=> neq(sk0_47,nil)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f452,plain,(
% 0.14/0.38 ~neq(sk0_47,nil)|spl0_4),
% 0.14/0.38 inference(component_clause,[status(thm)],[f450])).
% 0.14/0.38 fof(f453,plain,(
% 0.14/0.38 spl0_5 <=> segmentP(sk0_48,sk0_47)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f454,plain,(
% 0.14/0.38 segmentP(sk0_48,sk0_47)|~spl0_5),
% 0.14/0.38 inference(component_clause,[status(thm)],[f453])).
% 0.14/0.38 fof(f456,plain,(
% 0.14/0.38 spl0_2|~spl0_4|~spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f432,f443,f450,f453])).
% 0.14/0.38 fof(f457,plain,(
% 0.14/0.38 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.14/0.38 fof(f458,plain,(
% 0.14/0.38 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.14/0.38 inference(duplicate_literals_removal,[status(esa)],[f457])).
% 0.14/0.38 fof(f463,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.14/0.38 fof(f472,plain,(
% 0.14/0.38 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.14/0.38 fof(f473,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.14/0.38 inference(duplicate_literals_removal,[status(esa)],[f472])).
% 0.14/0.38 fof(f487,plain,(
% 0.14/0.38 ![X0]: (~pd0_0(X0,nil))),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f435])).
% 0.14/0.38 fof(f491,plain,(
% 0.14/0.38 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 0.14/0.38 inference(resolution,[status(thm)],[f103,f101])).
% 0.14/0.38 fof(f492,plain,(
% 0.14/0.38 ~neq(sk0_0,sk0_0)),
% 0.14/0.38 inference(resolution,[status(thm)],[f103,f458])).
% 0.14/0.38 fof(f493,plain,(
% 0.14/0.38 ![X0]: (~ssItem(X0)|neq(X0,sk0_1)|X0=sk0_1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f104,f101])).
% 0.14/0.38 fof(f494,plain,(
% 0.14/0.38 ~neq(sk0_1,sk0_1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f104,f458])).
% 0.14/0.38 fof(f495,plain,(
% 0.14/0.38 ~nil=sk0_47|spl0_1),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f425,f441])).
% 0.14/0.38 fof(f496,plain,(
% 0.14/0.38 nil=sk0_48|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f444,f434])).
% 0.14/0.38 fof(f497,plain,(
% 0.14/0.38 pd0_0(nil,sk0_47)|~spl0_2),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f496,f444])).
% 0.14/0.38 fof(f500,plain,(
% 0.14/0.38 app(sk0_47,sk0_51)=sk0_50),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f425,f427])).
% 0.14/0.38 fof(f505,plain,(
% 0.14/0.38 spl0_7 <=> ssList(sk0_51)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f507,plain,(
% 0.14/0.38 ~ssList(sk0_51)|spl0_7),
% 0.14/0.38 inference(component_clause,[status(thm)],[f505])).
% 0.14/0.38 fof(f508,plain,(
% 0.14/0.38 spl0_8 <=> ssList(sk0_47)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f510,plain,(
% 0.14/0.38 ~ssList(sk0_47)|spl0_8),
% 0.14/0.38 inference(component_clause,[status(thm)],[f508])).
% 0.14/0.38 fof(f513,plain,(
% 0.14/0.38 $false|spl0_8),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f510,f420])).
% 0.14/0.38 fof(f514,plain,(
% 0.14/0.38 spl0_8),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f513])).
% 0.14/0.38 fof(f515,plain,(
% 0.14/0.38 $false|spl0_7),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f507,f426])).
% 0.14/0.38 fof(f516,plain,(
% 0.14/0.38 spl0_7),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f515])).
% 0.14/0.38 fof(f537,plain,(
% 0.14/0.38 app(nil,sk0_51)=sk0_51),
% 0.14/0.38 inference(resolution,[status(thm)],[f249,f426])).
% 0.14/0.38 fof(f538,plain,(
% 0.14/0.38 app(nil,nil)=nil),
% 0.14/0.38 inference(resolution,[status(thm)],[f249,f223])).
% 0.14/0.38 fof(f539,plain,(
% 0.14/0.38 app(nil,sk0_47)=sk0_47),
% 0.14/0.38 inference(resolution,[status(thm)],[f249,f420])).
% 0.14/0.38 fof(f540,plain,(
% 0.14/0.38 spl0_13 <=> ssList(app(nil,sk0_51))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f542,plain,(
% 0.14/0.38 ~ssList(app(nil,sk0_51))|spl0_13),
% 0.14/0.38 inference(component_clause,[status(thm)],[f540])).
% 0.14/0.38 fof(f543,plain,(
% 0.14/0.38 spl0_14 <=> segmentP(sk0_51,sk0_51)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f548,plain,(
% 0.14/0.38 spl0_15 <=> ~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f549,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_15)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f548])).
% 0.14/0.38 fof(f551,plain,(
% 0.14/0.38 spl0_16 <=> ssList(nil)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f553,plain,(
% 0.14/0.38 ~ssList(nil)|spl0_16),
% 0.14/0.38 inference(component_clause,[status(thm)],[f551])).
% 0.14/0.38 fof(f554,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_51,X0))|~ssList(sk0_51)|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(nil)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f537,f463])).
% 0.14/0.38 fof(f555,plain,(
% 0.14/0.38 spl0_15|~spl0_7|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f554,f548,f505,f551])).
% 0.14/0.38 fof(f556,plain,(
% 0.14/0.38 $false|spl0_16),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f553,f223])).
% 0.14/0.38 fof(f557,plain,(
% 0.14/0.38 spl0_16),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f556])).
% 0.14/0.38 fof(f558,plain,(
% 0.14/0.38 ~ssList(sk0_51)|spl0_13),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f537,f542])).
% 0.14/0.38 fof(f559,plain,(
% 0.14/0.38 $false|spl0_13),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f558,f426])).
% 0.14/0.38 fof(f560,plain,(
% 0.14/0.38 spl0_13),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f559])).
% 0.14/0.38 fof(f561,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(sk0_51,X0),sk0_51)|~ssList(X0)|~spl0_15)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f537,f549])).
% 0.14/0.38 fof(f564,plain,(
% 0.14/0.38 spl0_17 <=> ~ssList(app(sk0_50,X0))|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f565,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_50,X0))|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_17)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f564])).
% 0.14/0.38 fof(f567,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_50,X0))|~ssList(sk0_51)|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(sk0_47)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f500,f463])).
% 0.14/0.38 fof(f568,plain,(
% 0.14/0.38 spl0_17|~spl0_7|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f567,f564,f505,f508])).
% 0.14/0.38 fof(f569,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_50,X0))|segmentP(app(sk0_50,X0),sk0_51)|~ssList(X0)|~spl0_17)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f500,f565])).
% 0.14/0.38 fof(f570,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_50,X0))|segmentP(app(sk0_48,X0),sk0_51)|~ssList(X0)|~spl0_17)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f424,f569])).
% 0.14/0.38 fof(f571,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_51)|~ssList(X0)|~spl0_17)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f424,f570])).
% 0.14/0.38 fof(f573,plain,(
% 0.14/0.38 app(sk0_47,sk0_51)=sk0_48),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f424,f500])).
% 0.14/0.38 fof(f574,plain,(
% 0.14/0.38 app(nil,sk0_48)=sk0_48),
% 0.14/0.38 inference(resolution,[status(thm)],[f421,f249])).
% 0.14/0.38 fof(f575,plain,(
% 0.14/0.38 spl0_18 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f576,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_18)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f575])).
% 0.14/0.38 fof(f578,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f539,f463])).
% 0.14/0.38 fof(f579,plain,(
% 0.14/0.38 spl0_18|~spl0_8|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f578,f575,f508,f551])).
% 0.14/0.38 fof(f580,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_18)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f539,f576])).
% 0.14/0.38 fof(f581,plain,(
% 0.14/0.38 spl0_19 <=> ssList(app(sk0_47,sk0_51))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f583,plain,(
% 0.14/0.38 ~ssList(app(sk0_47,sk0_51))|spl0_19),
% 0.14/0.38 inference(component_clause,[status(thm)],[f581])).
% 0.14/0.38 fof(f584,plain,(
% 0.14/0.38 ~ssList(app(sk0_47,sk0_51))|segmentP(sk0_48,sk0_47)|~ssList(sk0_51)|~spl0_18),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f573,f580])).
% 0.14/0.38 fof(f585,plain,(
% 0.14/0.38 ~spl0_19|spl0_5|~spl0_7|~spl0_18),
% 0.14/0.38 inference(split_clause,[status(thm)],[f584,f581,f453,f505,f575])).
% 0.14/0.38 fof(f586,plain,(
% 0.14/0.38 spl0_20 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f589,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_51)|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(sk0_47)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f573,f463])).
% 0.14/0.38 fof(f590,plain,(
% 0.14/0.38 spl0_20|~spl0_7|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f589,f586,f505,f508])).
% 0.14/0.38 fof(f591,plain,(
% 0.14/0.38 ~ssList(sk0_48)|spl0_19),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f573,f583])).
% 0.14/0.38 fof(f592,plain,(
% 0.14/0.38 $false|spl0_19),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f591,f421])).
% 0.14/0.38 fof(f593,plain,(
% 0.14/0.38 spl0_19),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f592])).
% 0.14/0.38 fof(f595,plain,(
% 0.14/0.38 spl0_21 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f596,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_21)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f595])).
% 0.14/0.38 fof(f598,plain,(
% 0.14/0.38 spl0_22 <=> ssList(sk0_48)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f600,plain,(
% 0.14/0.38 ~ssList(sk0_48)|spl0_22),
% 0.14/0.38 inference(component_clause,[status(thm)],[f598])).
% 0.14/0.38 fof(f601,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f574,f463])).
% 0.14/0.38 fof(f602,plain,(
% 0.14/0.38 spl0_21|~spl0_22|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f601,f595,f598,f551])).
% 0.14/0.38 fof(f603,plain,(
% 0.14/0.38 $false|spl0_22),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f600,f421])).
% 0.14/0.38 fof(f604,plain,(
% 0.14/0.38 spl0_22),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f603])).
% 0.14/0.38 fof(f605,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_21)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f574,f596])).
% 0.14/0.38 fof(f606,plain,(
% 0.14/0.38 spl0_23 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f609,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f538,f463])).
% 0.14/0.38 fof(f610,plain,(
% 0.14/0.38 spl0_23|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f609,f606,f551])).
% 0.14/0.38 fof(f612,plain,(
% 0.14/0.38 app(sk0_48,nil)=sk0_48),
% 0.14/0.38 inference(resolution,[status(thm)],[f389,f421])).
% 0.14/0.38 fof(f615,plain,(
% 0.14/0.38 app(sk0_51,nil)=sk0_51),
% 0.14/0.38 inference(resolution,[status(thm)],[f389,f426])).
% 0.14/0.38 fof(f617,plain,(
% 0.14/0.38 app(sk0_47,nil)=sk0_47),
% 0.14/0.38 inference(resolution,[status(thm)],[f389,f420])).
% 0.14/0.38 fof(f618,plain,(
% 0.14/0.38 spl0_24 <=> ssList(app(sk0_48,nil))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f620,plain,(
% 0.14/0.38 ~ssList(app(sk0_48,nil))|spl0_24),
% 0.14/0.38 inference(component_clause,[status(thm)],[f618])).
% 0.14/0.38 fof(f621,plain,(
% 0.14/0.38 spl0_25 <=> segmentP(sk0_48,sk0_48)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f624,plain,(
% 0.14/0.38 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_21),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f612,f605])).
% 0.14/0.38 fof(f625,plain,(
% 0.14/0.38 ~spl0_24|spl0_25|~spl0_16|~spl0_21),
% 0.14/0.38 inference(split_clause,[status(thm)],[f624,f618,f621,f551,f595])).
% 0.14/0.38 fof(f626,plain,(
% 0.14/0.38 spl0_26 <=> ssList(app(nil,nil))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f628,plain,(
% 0.14/0.38 ~ssList(app(nil,nil))|spl0_26),
% 0.14/0.38 inference(component_clause,[status(thm)],[f626])).
% 0.14/0.38 fof(f629,plain,(
% 0.14/0.38 spl0_27 <=> segmentP(sk0_48,sk0_51)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f634,plain,(
% 0.14/0.38 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_51)|~ssList(nil)|~spl0_17),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f612,f571])).
% 0.14/0.38 fof(f635,plain,(
% 0.14/0.38 ~spl0_24|spl0_27|~spl0_16|~spl0_17),
% 0.14/0.38 inference(split_clause,[status(thm)],[f634,f618,f629,f551,f564])).
% 0.14/0.38 fof(f636,plain,(
% 0.14/0.38 spl0_28 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f639,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f612,f463])).
% 0.14/0.38 fof(f640,plain,(
% 0.14/0.38 spl0_28|~spl0_16|~spl0_22),
% 0.14/0.38 inference(split_clause,[status(thm)],[f639,f636,f551,f598])).
% 0.14/0.38 fof(f641,plain,(
% 0.14/0.38 ~ssList(nil)|spl0_26),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f538,f628])).
% 0.14/0.38 fof(f642,plain,(
% 0.14/0.38 $false|spl0_26),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f641,f223])).
% 0.14/0.38 fof(f643,plain,(
% 0.14/0.38 spl0_26),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f642])).
% 0.14/0.38 fof(f644,plain,(
% 0.14/0.38 ~ssList(sk0_48)|spl0_24),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f612,f620])).
% 0.14/0.38 fof(f645,plain,(
% 0.14/0.38 $false|spl0_24),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f644,f421])).
% 0.14/0.38 fof(f646,plain,(
% 0.14/0.38 spl0_24),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f645])).
% 0.14/0.38 fof(f650,plain,(
% 0.14/0.38 spl0_29 <=> ssList(app(sk0_51,nil))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f652,plain,(
% 0.14/0.38 ~ssList(app(sk0_51,nil))|spl0_29),
% 0.14/0.38 inference(component_clause,[status(thm)],[f650])).
% 0.14/0.38 fof(f653,plain,(
% 0.14/0.38 ~ssList(app(sk0_51,nil))|segmentP(sk0_51,sk0_51)|~ssList(nil)|~spl0_15),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f615,f561])).
% 0.14/0.38 fof(f654,plain,(
% 0.14/0.38 ~spl0_29|spl0_14|~spl0_16|~spl0_15),
% 0.14/0.38 inference(split_clause,[status(thm)],[f653,f650,f543,f551,f548])).
% 0.14/0.38 fof(f655,plain,(
% 0.14/0.38 spl0_30 <=> ~ssList(app(sk0_51,X0))|segmentP(app(app(sk0_51,nil),X0),nil)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f658,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_51,X0))|~ssList(nil)|segmentP(app(app(sk0_51,nil),X0),nil)|~ssList(sk0_51)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f615,f463])).
% 0.14/0.38 fof(f659,plain,(
% 0.14/0.38 spl0_30|~spl0_16|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f658,f655,f551,f505])).
% 0.14/0.38 fof(f660,plain,(
% 0.14/0.38 ~ssList(sk0_51)|spl0_29),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f615,f652])).
% 0.14/0.38 fof(f661,plain,(
% 0.14/0.38 $false|spl0_29),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f660,f426])).
% 0.14/0.38 fof(f662,plain,(
% 0.14/0.38 spl0_29),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f661])).
% 0.14/0.38 fof(f665,plain,(
% 0.14/0.38 spl0_31 <=> ssList(app(sk0_47,nil))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f667,plain,(
% 0.14/0.38 ~ssList(app(sk0_47,nil))|spl0_31),
% 0.14/0.38 inference(component_clause,[status(thm)],[f665])).
% 0.14/0.38 fof(f668,plain,(
% 0.14/0.38 spl0_32 <=> segmentP(sk0_47,sk0_47)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f671,plain,(
% 0.14/0.38 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_18),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f617,f580])).
% 0.14/0.38 fof(f672,plain,(
% 0.14/0.38 ~spl0_31|spl0_32|~spl0_16|~spl0_18),
% 0.14/0.38 inference(split_clause,[status(thm)],[f671,f665,f668,f551,f575])).
% 0.14/0.38 fof(f673,plain,(
% 0.14/0.38 spl0_33 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f676,plain,(
% 0.14/0.38 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f617,f463])).
% 0.14/0.38 fof(f677,plain,(
% 0.14/0.38 spl0_33|~spl0_16|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f676,f673,f551,f508])).
% 0.14/0.38 fof(f678,plain,(
% 0.14/0.38 ~ssList(sk0_47)|spl0_31),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f617,f667])).
% 0.14/0.38 fof(f679,plain,(
% 0.14/0.38 $false|spl0_31),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f678,f420])).
% 0.14/0.38 fof(f680,plain,(
% 0.14/0.38 spl0_31),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f679])).
% 0.14/0.38 fof(f697,plain,(
% 0.14/0.38 spl0_34 <=> sk0_47=nil),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f698,plain,(
% 0.14/0.38 sk0_47=nil|~spl0_34),
% 0.14/0.38 inference(component_clause,[status(thm)],[f697])).
% 0.14/0.38 fof(f700,plain,(
% 0.14/0.38 ~ssList(sk0_47)|~ssList(nil)|sk0_47=nil|spl0_4),
% 0.14/0.38 inference(resolution,[status(thm)],[f220,f452])).
% 0.14/0.38 fof(f701,plain,(
% 0.14/0.38 ~spl0_8|~spl0_16|spl0_34|spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f700,f508,f551,f697,f450])).
% 0.14/0.38 fof(f705,plain,(
% 0.14/0.38 spl0_36 <=> sk0_1=sk0_1),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f713,plain,(
% 0.14/0.38 spl0_38 <=> sk0_0=sk0_0),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f718,plain,(
% 0.14/0.38 $false|spl0_1|~spl0_34),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f698,f495])).
% 0.14/0.38 fof(f719,plain,(
% 0.14/0.38 spl0_1|~spl0_34),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f718])).
% 0.14/0.38 fof(f722,plain,(
% 0.14/0.38 nil=sk0_48|~spl0_0),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f424,f437])).
% 0.14/0.38 fof(f744,plain,(
% 0.14/0.38 segmentP(nil,sk0_47)|~spl0_2|~spl0_5),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f496,f454])).
% 0.14/0.38 fof(f766,plain,(
% 0.14/0.38 pd0_0(nil,nil)|~spl0_34|~spl0_2),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f698,f497])).
% 0.14/0.38 fof(f767,plain,(
% 0.14/0.38 $false|~spl0_34|~spl0_2),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f766,f487])).
% 0.14/0.38 fof(f768,plain,(
% 0.14/0.38 ~spl0_34|~spl0_2),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f767])).
% 0.14/0.38 fof(f791,plain,(
% 0.14/0.38 spl0_41 <=> ssList(app(nil,sk0_47))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f793,plain,(
% 0.14/0.38 ~ssList(app(nil,sk0_47))|spl0_41),
% 0.14/0.38 inference(component_clause,[status(thm)],[f791])).
% 0.14/0.38 fof(f801,plain,(
% 0.14/0.38 ~ssList(sk0_47)|spl0_41),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f539,f793])).
% 0.14/0.38 fof(f802,plain,(
% 0.14/0.38 $false|spl0_41),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f801,f420])).
% 0.14/0.38 fof(f803,plain,(
% 0.14/0.38 spl0_41),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f802])).
% 0.14/0.38 fof(f817,plain,(
% 0.14/0.38 ~ssList(sk0_47)|nil=sk0_47|~spl0_2|~spl0_5),
% 0.14/0.38 inference(resolution,[status(thm)],[f326,f744])).
% 0.14/0.38 fof(f818,plain,(
% 0.14/0.38 ~spl0_8|spl0_34|~spl0_2|~spl0_5),
% 0.14/0.38 inference(split_clause,[status(thm)],[f817,f508,f697,f443,f453])).
% 0.14/0.38 fof(f824,plain,(
% 0.14/0.38 spl0_44 <=> nil=nil),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f829,plain,(
% 0.14/0.38 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.14/0.38 inference(resolution,[status(thm)],[f326,f323])).
% 0.14/0.38 fof(f830,plain,(
% 0.14/0.38 ~spl0_16|spl0_44),
% 0.14/0.38 inference(split_clause,[status(thm)],[f829,f551,f824])).
% 0.14/0.38 fof(f846,plain,(
% 0.14/0.38 spl0_45 <=> ssItem(sk0_0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f848,plain,(
% 0.14/0.38 ~ssItem(sk0_0)|spl0_45),
% 0.14/0.38 inference(component_clause,[status(thm)],[f846])).
% 0.14/0.38 fof(f849,plain,(
% 0.14/0.38 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 0.14/0.38 inference(resolution,[status(thm)],[f491,f492])).
% 0.14/0.38 fof(f850,plain,(
% 0.14/0.38 ~spl0_45|spl0_38),
% 0.14/0.38 inference(split_clause,[status(thm)],[f849,f846,f713])).
% 0.14/0.38 fof(f853,plain,(
% 0.14/0.38 $false|spl0_45),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f848,f103])).
% 0.14/0.38 fof(f854,plain,(
% 0.14/0.38 spl0_45),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f853])).
% 0.14/0.38 fof(f855,plain,(
% 0.14/0.38 spl0_46 <=> ssItem(sk0_1)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f857,plain,(
% 0.14/0.38 ~ssItem(sk0_1)|spl0_46),
% 0.14/0.38 inference(component_clause,[status(thm)],[f855])).
% 0.14/0.38 fof(f858,plain,(
% 0.14/0.38 ~ssItem(sk0_1)|sk0_1=sk0_1),
% 0.14/0.38 inference(resolution,[status(thm)],[f493,f494])).
% 0.14/0.38 fof(f859,plain,(
% 0.14/0.38 ~spl0_46|spl0_36),
% 0.14/0.38 inference(split_clause,[status(thm)],[f858,f855,f705])).
% 0.14/0.38 fof(f862,plain,(
% 0.14/0.38 $false|spl0_46),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f857,f104])).
% 0.14/0.38 fof(f863,plain,(
% 0.14/0.38 spl0_46),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f862])).
% 0.14/0.38 fof(f867,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|ssList(app(X0,sk0_47)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f245,f420])).
% 0.14/0.38 fof(f872,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|ssList(app(X0,sk0_51)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f245,f426])).
% 0.14/0.38 fof(f873,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|ssList(app(X0,nil)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f245,f223])).
% 0.14/0.38 fof(f925,plain,(
% 0.14/0.38 spl0_47 <=> ~ssList(app(X0,X1))|~ssList(X1)|segmentP(app(app(X0,X1),sk0_47),X1)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f928,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|segmentP(app(app(X0,X1),sk0_47),X1)|~ssList(X0)|~ssList(sk0_47))),
% 0.14/0.38 inference(resolution,[status(thm)],[f867,f463])).
% 0.14/0.38 fof(f929,plain,(
% 0.14/0.38 spl0_47|~spl0_8),
% 0.14/0.38 inference(split_clause,[status(thm)],[f928,f925,f508])).
% 0.14/0.38 fof(f941,plain,(
% 0.14/0.38 spl0_48 <=> ~ssList(app(X0,X1))|~ssList(X1)|segmentP(app(app(X0,X1),sk0_51),X1)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f944,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|segmentP(app(app(X0,X1),sk0_51),X1)|~ssList(X0)|~ssList(sk0_51))),
% 0.14/0.38 inference(resolution,[status(thm)],[f872,f463])).
% 0.14/0.38 fof(f945,plain,(
% 0.14/0.38 spl0_48|~spl0_7),
% 0.14/0.38 inference(split_clause,[status(thm)],[f944,f941,f505])).
% 0.14/0.38 fof(f959,plain,(
% 0.14/0.38 spl0_49 <=> ~ssList(app(X0,X1))|~ssList(X1)|segmentP(app(app(X0,X1),nil),X1)|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f962,plain,(
% 0.14/0.38 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|segmentP(app(app(X0,X1),nil),X1)|~ssList(X0)|~ssList(nil))),
% 0.14/0.38 inference(resolution,[status(thm)],[f873,f463])).
% 0.14/0.38 fof(f963,plain,(
% 0.14/0.38 spl0_49|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f962,f959,f551])).
% 0.14/0.38 fof(f985,plain,(
% 0.14/0.38 spl0_50 <=> ~ssList(X0)|ssList(sk0_5(nil,X0))|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f988,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|~ssList(nil)|ssList(sk0_5(nil,X0))|~ssList(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f122,f295])).
% 0.14/0.38 fof(f989,plain,(
% 0.14/0.38 spl0_50|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f988,f985,f551])).
% 0.14/0.38 fof(f993,plain,(
% 0.14/0.38 spl0_51 <=> ~ssList(X0)|app(nil,sk0_5(nil,X0))=X0|~ssList(X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f996,plain,(
% 0.14/0.38 ![X0]: (~ssList(X0)|~ssList(nil)|app(nil,sk0_5(nil,X0))=X0|~ssList(X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f123,f295])).
% 0.14/0.38 fof(f997,plain,(
% 0.14/0.38 spl0_51|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f996,f993,f551])).
% 0.14/0.38 fof(f1042,plain,(
% 0.14/0.38 neq(nil,nil)|~spl0_0|~spl0_3),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f722,f447])).
% 0.14/0.38 fof(f1043,plain,(
% 0.14/0.38 ~ssList(nil)|~spl0_0|~spl0_3),
% 0.14/0.38 inference(resolution,[status(thm)],[f1042,f473])).
% 0.14/0.38 fof(f1044,plain,(
% 0.14/0.38 ~spl0_16|~spl0_0|~spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f1043,f551,f436,f446])).
% 0.14/0.38 fof(f1045,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f442,f449,f456,f514,f516,f555,f557,f560,f568,f579,f585,f590,f593,f602,f604,f610,f625,f635,f640,f643,f646,f654,f659,f662,f672,f677,f680,f701,f719,f768,f803,f818,f830,f850,f854,f859,f863,f929,f945,f963,f989,f997,f1044])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.60 % Elapsed time: 0.052331 seconds
% 0.21/0.60 % CPU time: 0.034392 seconds
% 0.21/0.60 % Memory used: 4.310 MB
%------------------------------------------------------------------------------