TSTP Solution File: SWC017+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC017+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:44:10 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC017+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:02:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f15,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,axiom,(
% 0.13/0.37 ssList(nil) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f28,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f40,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( frontsegP(U,V)& frontsegP(V,W) )=> frontsegP(U,W) ) ) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f41,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( frontsegP(U,V)& frontsegP(V,U) )=> U = V ) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f42,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f43,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( frontsegP(U,V)=> frontsegP(app(U,W),V) ) ) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f45,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f46,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> ( frontsegP(nil,U)<=> nil = U ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f84,axiom,(
% 0.13/0.37 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f96,conjecture,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) )) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f97,negated_conjecture,(
% 0.13/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) )) )) )) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.37 fof(f98,plain,(
% 0.13/0.37 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f99,plain,(
% 0.13/0.37 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f98])).
% 0.13/0.37 fof(f100,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f99])).
% 0.13/0.37 fof(f101,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f99])).
% 0.13/0.37 fof(f102,plain,(
% 0.13/0.37 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f2])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ssItem(sk0_0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.13/0.37 fof(f104,plain,(
% 0.13/0.37 ssItem(sk0_1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f102])).
% 0.13/0.37 fof(f119,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.37 fof(f120,plain,(
% 0.13/0.37 ![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)))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f119])).
% 0.13/0.37 fof(f121,plain,(
% 0.13/0.37 ![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)))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f120])).
% 0.13/0.37 fof(f124,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f121])).
% 0.13/0.37 fof(f217,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.13/0.37 fof(f218,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f217])).
% 0.13/0.37 fof(f219,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f218])).
% 0.13/0.37 fof(f223,plain,(
% 0.13/0.37 ssList(nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.37 fof(f248,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.13/0.37 fof(f249,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f248])).
% 0.13/0.37 fof(f281,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~frontsegP(U,V)|~frontsegP(V,W))|frontsegP(U,W)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.13/0.37 fof(f282,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|frontsegP(X0,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f281])).
% 0.13/0.37 fof(f283,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|~frontsegP(V,U))|U=V))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.13/0.37 fof(f284,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|~frontsegP(X1,X0)|X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f283])).
% 0.13/0.37 fof(f285,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.13/0.37 fof(f286,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f285])).
% 0.13/0.37 fof(f287,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~frontsegP(U,V)|frontsegP(app(U,W),V)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.13/0.37 fof(f288,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|frontsegP(app(X0,X2),X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f287])).
% 0.13/0.37 fof(f294,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.13/0.37 fof(f295,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f294])).
% 0.13/0.37 fof(f296,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|(frontsegP(nil,U)<=>nil=U))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f297,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|((~frontsegP(nil,U)|nil=U)&(frontsegP(nil,U)|~nil=U)))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f296])).
% 0.13/0.37 fof(f298,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f297])).
% 0.13/0.37 fof(f388,plain,(
% 0.13/0.37 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.13/0.37 fof(f389,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f388])).
% 0.13/0.37 fof(f415,plain,(
% 0.13/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.37 fof(f416,plain,(
% 0.13/0.37 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.13/0.37 introduced(predicate_definition,[f415])).
% 0.13/0.37 fof(f417,plain,(
% 0.13/0.37 ![W,X]: (pd0_1(X,W)=>(nil=X&nil=W))),
% 0.13/0.37 introduced(predicate_definition,[f415])).
% 0.13/0.37 fof(f418,plain,(
% 0.13/0.37 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(pd0_0(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))))&(pd0_1(X,W)|(neq(W,nil)&frontsegP(X,W))))))))))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.13/0.37 fof(f419,plain,(
% 0.13/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&((((ssList(sk0_50)&sk0_48=sk0_50)&sk0_47=sk0_49)&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(sk0_48,Y))|~frontsegP(sk0_47,Y))))))&(pd0_1(sk0_50,sk0_49)|(neq(sk0_49,nil)&frontsegP(sk0_50,sk0_49)))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f418])).
% 0.13/0.37 fof(f420,plain,(
% 0.13/0.37 ssList(sk0_47)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f421,plain,(
% 0.13/0.37 ssList(sk0_48)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f424,plain,(
% 0.13/0.37 sk0_48=sk0_50),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f425,plain,(
% 0.13/0.37 sk0_47=sk0_49),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f426,plain,(
% 0.13/0.37 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f427,plain,(
% 0.13/0.37 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f428,plain,(
% 0.13/0.37 pd0_1(sk0_50,sk0_49)|neq(sk0_49,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f429,plain,(
% 0.13/0.37 pd0_1(sk0_50,sk0_49)|frontsegP(sk0_50,sk0_49)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.37 fof(f430,plain,(
% 0.13/0.37 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f431,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f430])).
% 0.13/0.37 fof(f432,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f430])).
% 0.13/0.37 fof(f433,plain,(
% 0.13/0.37 ![W,X]: (~pd0_1(X,W)|(nil=X&nil=W))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f417])).
% 0.13/0.37 fof(f434,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_1(X0,X1)|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f433])).
% 0.13/0.37 fof(f435,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_1(X0,X1)|nil=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f433])).
% 0.13/0.37 fof(f436,plain,(
% 0.13/0.37 spl0_0 <=> pd0_0(sk0_48,sk0_47)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f437,plain,(
% 0.13/0.37 pd0_0(sk0_48,sk0_47)|~spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f436])).
% 0.13/0.37 fof(f439,plain,(
% 0.13/0.37 spl0_1 <=> neq(sk0_48,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f440,plain,(
% 0.13/0.37 neq(sk0_48,nil)|~spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f439])).
% 0.13/0.37 fof(f442,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f426,f436,f439])).
% 0.13/0.37 fof(f443,plain,(
% 0.13/0.37 spl0_2 <=> ~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f444,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sk0_48,X0)|~frontsegP(sk0_47,X0)|~spl0_2)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f443])).
% 0.13/0.37 fof(f446,plain,(
% 0.13/0.37 spl0_0|spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f427,f436,f443])).
% 0.13/0.37 fof(f447,plain,(
% 0.13/0.37 spl0_3 <=> pd0_1(sk0_50,sk0_49)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f448,plain,(
% 0.13/0.37 pd0_1(sk0_50,sk0_49)|~spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f447])).
% 0.13/0.37 fof(f450,plain,(
% 0.13/0.37 spl0_4 <=> neq(sk0_49,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f451,plain,(
% 0.13/0.37 neq(sk0_49,nil)|~spl0_4),
% 0.13/0.37 inference(component_clause,[status(thm)],[f450])).
% 0.13/0.37 fof(f453,plain,(
% 0.13/0.37 spl0_3|spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f428,f447,f450])).
% 0.13/0.37 fof(f454,plain,(
% 0.13/0.37 spl0_5 <=> frontsegP(sk0_50,sk0_49)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f455,plain,(
% 0.13/0.37 frontsegP(sk0_50,sk0_49)|~spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.37 fof(f457,plain,(
% 0.13/0.37 spl0_3|spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f429,f447,f454])).
% 0.13/0.37 fof(f458,plain,(
% 0.13/0.37 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 0.13/0.37 fof(f459,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f458])).
% 0.13/0.37 fof(f462,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.13/0.37 fof(f473,plain,(
% 0.13/0.37 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.13/0.37 fof(f474,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f473])).
% 0.13/0.37 fof(f488,plain,(
% 0.13/0.37 ![X0]: (~pd0_0(X0,nil))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f432])).
% 0.13/0.37 fof(f491,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f103,f101])).
% 0.13/0.37 fof(f492,plain,(
% 0.13/0.37 ~neq(sk0_0,sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f103,f459])).
% 0.13/0.37 fof(f493,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|neq(X0,sk0_1)|X0=sk0_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f104,f101])).
% 0.13/0.37 fof(f494,plain,(
% 0.13/0.37 ~neq(sk0_1,sk0_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f104,f459])).
% 0.13/0.37 fof(f495,plain,(
% 0.13/0.37 pd0_1(sk0_48,sk0_49)|~spl0_3),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.13/0.37 fof(f496,plain,(
% 0.13/0.37 pd0_1(sk0_48,sk0_47)|~spl0_3),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f425,f495])).
% 0.13/0.37 fof(f497,plain,(
% 0.13/0.37 nil=sk0_47|~spl0_3),
% 0.13/0.37 inference(resolution,[status(thm)],[f496,f435])).
% 0.13/0.37 fof(f498,plain,(
% 0.13/0.37 nil=sk0_48|~spl0_3),
% 0.13/0.37 inference(resolution,[status(thm)],[f496,f434])).
% 0.13/0.37 fof(f504,plain,(
% 0.13/0.37 pd0_0(nil,sk0_47)|~spl0_3|~spl0_0),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f498,f437])).
% 0.13/0.37 fof(f505,plain,(
% 0.13/0.37 pd0_0(nil,nil)|~spl0_3|~spl0_0),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f497,f504])).
% 0.13/0.37 fof(f506,plain,(
% 0.13/0.37 $false|~spl0_3|~spl0_0),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f505,f488])).
% 0.13/0.37 fof(f507,plain,(
% 0.13/0.37 ~spl0_3|~spl0_0),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f506])).
% 0.13/0.37 fof(f508,plain,(
% 0.13/0.37 nil=sk0_48|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f437,f431])).
% 0.13/0.37 fof(f509,plain,(
% 0.13/0.37 pd0_0(nil,sk0_47)|~spl0_0),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f508,f437])).
% 0.13/0.37 fof(f510,plain,(
% 0.13/0.37 nil=sk0_50|~spl0_0),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f508,f424])).
% 0.13/0.37 fof(f512,plain,(
% 0.13/0.37 frontsegP(nil,sk0_49)|~spl0_0|~spl0_5),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f510,f455])).
% 0.13/0.37 fof(f514,plain,(
% 0.13/0.37 frontsegP(nil,sk0_47)|~spl0_0|~spl0_5),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f425,f512])).
% 0.13/0.37 fof(f516,plain,(
% 0.13/0.37 neq(sk0_47,nil)|~spl0_4),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f425,f451])).
% 0.13/0.38 fof(f517,plain,(
% 0.13/0.38 spl0_6 <=> ssList(sk0_47)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f519,plain,(
% 0.13/0.38 ~ssList(sk0_47)|spl0_6),
% 0.13/0.38 inference(component_clause,[status(thm)],[f517])).
% 0.13/0.38 fof(f520,plain,(
% 0.13/0.38 spl0_7 <=> nil=sk0_47),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f521,plain,(
% 0.13/0.38 nil=sk0_47|~spl0_7),
% 0.13/0.38 inference(component_clause,[status(thm)],[f520])).
% 0.13/0.38 fof(f523,plain,(
% 0.13/0.38 ~ssList(sk0_47)|nil=sk0_47|~spl0_0|~spl0_5),
% 0.13/0.38 inference(resolution,[status(thm)],[f298,f514])).
% 0.13/0.38 fof(f524,plain,(
% 0.13/0.38 ~spl0_6|spl0_7|~spl0_0|~spl0_5),
% 0.13/0.38 inference(split_clause,[status(thm)],[f523,f517,f520,f436,f454])).
% 0.13/0.38 fof(f525,plain,(
% 0.13/0.38 spl0_8 <=> ssList(nil)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f527,plain,(
% 0.13/0.38 ~ssList(nil)|spl0_8),
% 0.13/0.38 inference(component_clause,[status(thm)],[f525])).
% 0.13/0.38 fof(f528,plain,(
% 0.13/0.38 spl0_9 <=> nil=nil),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f531,plain,(
% 0.13/0.38 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.38 inference(resolution,[status(thm)],[f298,f295])).
% 0.13/0.38 fof(f532,plain,(
% 0.13/0.38 ~spl0_8|spl0_9),
% 0.13/0.38 inference(split_clause,[status(thm)],[f531,f525,f528])).
% 0.13/0.38 fof(f535,plain,(
% 0.13/0.38 $false|spl0_8),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f527,f223])).
% 0.13/0.38 fof(f536,plain,(
% 0.13/0.38 spl0_8),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f535])).
% 0.13/0.38 fof(f540,plain,(
% 0.13/0.38 neq(nil,nil)|~spl0_3|~spl0_1),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f498,f440])).
% 0.13/0.38 fof(f541,plain,(
% 0.13/0.38 ~ssList(nil)|~spl0_3|~spl0_1),
% 0.13/0.38 inference(resolution,[status(thm)],[f540,f474])).
% 0.13/0.38 fof(f542,plain,(
% 0.13/0.38 ~spl0_8|~spl0_3|~spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f541,f525,f447,f439])).
% 0.13/0.38 fof(f547,plain,(
% 0.13/0.38 spl0_10 <=> ssList(sk0_49)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f549,plain,(
% 0.13/0.38 ~ssList(sk0_49)|spl0_10),
% 0.13/0.38 inference(component_clause,[status(thm)],[f547])).
% 0.13/0.38 fof(f557,plain,(
% 0.13/0.38 $false|spl0_6),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f420,f519])).
% 0.13/0.38 fof(f558,plain,(
% 0.13/0.38 spl0_6),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f557])).
% 0.13/0.38 fof(f559,plain,(
% 0.13/0.38 spl0_12 <=> ssItem(sk0_0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f561,plain,(
% 0.13/0.38 ~ssItem(sk0_0)|spl0_12),
% 0.13/0.38 inference(component_clause,[status(thm)],[f559])).
% 0.13/0.38 fof(f562,plain,(
% 0.13/0.38 spl0_13 <=> sk0_0=sk0_0),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f565,plain,(
% 0.13/0.38 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 0.13/0.38 inference(resolution,[status(thm)],[f491,f492])).
% 0.13/0.38 fof(f566,plain,(
% 0.13/0.38 ~spl0_12|spl0_13),
% 0.13/0.38 inference(split_clause,[status(thm)],[f565,f559,f562])).
% 0.13/0.38 fof(f572,plain,(
% 0.13/0.38 $false|spl0_12),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f561,f103])).
% 0.13/0.38 fof(f573,plain,(
% 0.13/0.38 spl0_12),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f572])).
% 0.13/0.38 fof(f574,plain,(
% 0.13/0.38 spl0_15 <=> ssItem(sk0_1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f576,plain,(
% 0.13/0.38 ~ssItem(sk0_1)|spl0_15),
% 0.13/0.38 inference(component_clause,[status(thm)],[f574])).
% 0.13/0.38 fof(f577,plain,(
% 0.13/0.38 spl0_16 <=> sk0_1=sk0_1),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f580,plain,(
% 0.13/0.38 ~ssItem(sk0_1)|sk0_1=sk0_1),
% 0.13/0.38 inference(resolution,[status(thm)],[f493,f494])).
% 0.13/0.38 fof(f581,plain,(
% 0.13/0.38 ~spl0_15|spl0_16),
% 0.13/0.38 inference(split_clause,[status(thm)],[f580,f574,f577])).
% 0.13/0.38 fof(f587,plain,(
% 0.13/0.38 $false|spl0_15),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f576,f104])).
% 0.13/0.38 fof(f588,plain,(
% 0.13/0.38 spl0_15),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f587])).
% 0.13/0.38 fof(f593,plain,(
% 0.13/0.38 spl0_18 <=> ~ssList(X0)|~frontsegP(nil,X0)|nil=X0|~ssList(X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f596,plain,(
% 0.13/0.38 ![X0]: (~ssList(nil)|~ssList(X0)|~frontsegP(nil,X0)|nil=X0|~ssList(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f284,f295])).
% 0.13/0.38 fof(f597,plain,(
% 0.13/0.38 ~spl0_8|spl0_18),
% 0.13/0.38 inference(split_clause,[status(thm)],[f596,f525,f593])).
% 0.13/0.38 fof(f601,plain,(
% 0.13/0.38 spl0_19 <=> ~ssList(X0)|~ssList(X1)|~frontsegP(nil,X0)|~frontsegP(X0,X1)|~ssList(X1)|nil=X1),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f604,plain,(
% 0.13/0.38 ![X0,X1]: (~ssList(nil)|~ssList(X0)|~ssList(X1)|~frontsegP(nil,X0)|~frontsegP(X0,X1)|~ssList(X1)|nil=X1)),
% 0.13/0.38 inference(resolution,[status(thm)],[f282,f298])).
% 0.13/0.38 fof(f605,plain,(
% 0.13/0.38 ~spl0_8|spl0_19),
% 0.13/0.38 inference(split_clause,[status(thm)],[f604,f525,f601])).
% 0.13/0.38 fof(f606,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X0)|~frontsegP(X2,X0)|X2=X0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f282,f284])).
% 0.13/0.38 fof(f607,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~frontsegP(X0,X1)|~frontsegP(X1,X2)|~frontsegP(X2,X0)|X2=X0)),
% 0.13/0.38 inference(duplicate_literals_removal,[status(esa)],[f606])).
% 0.13/0.38 fof(f632,plain,(
% 0.13/0.38 spl0_24 <=> ~ssList(X0)|~frontsegP(X0,nil)|~frontsegP(nil,X0)|nil=X0),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f635,plain,(
% 0.13/0.38 spl0_25 <=> frontsegP(nil,nil)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f637,plain,(
% 0.13/0.38 ~frontsegP(nil,nil)|spl0_25),
% 0.13/0.38 inference(component_clause,[status(thm)],[f635])).
% 0.13/0.38 fof(f638,plain,(
% 0.13/0.38 ![X0]: (~ssList(X0)|~frontsegP(X0,nil)|~frontsegP(nil,nil)|~frontsegP(nil,X0)|nil=X0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f607,f223])).
% 0.13/0.38 fof(f639,plain,(
% 0.13/0.38 spl0_24|~spl0_25),
% 0.13/0.38 inference(split_clause,[status(thm)],[f638,f632,f635])).
% 0.13/0.38 fof(f640,plain,(
% 0.13/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,nil)|~frontsegP(nil,X1)|~frontsegP(X1,X0)|X1=X0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f607,f223])).
% 0.13/0.38 fof(f641,plain,(
% 0.13/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(nil,X1)|~frontsegP(X1,X0)|X1=X0)),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f640,f295])).
% 0.13/0.38 fof(f647,plain,(
% 0.13/0.38 spl0_26 <=> ~ssList(X0)|~frontsegP(nil,X0)|nil=X0),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f650,plain,(
% 0.13/0.38 ![X0]: (~ssList(X0)|~ssList(nil)|~frontsegP(nil,X0)|nil=X0|~ssList(nil))),
% 0.13/0.38 inference(resolution,[status(thm)],[f641,f295])).
% 0.13/0.38 fof(f651,plain,(
% 0.13/0.38 spl0_26|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f650,f647,f525])).
% 0.13/0.38 fof(f652,plain,(
% 0.13/0.38 spl0_27 <=> ~ssList(X0)|~ssList(X1)|~frontsegP(X1,X0)|X1=X0|~ssList(X2)|~ssList(X1)|~frontsegP(nil,X2)|~frontsegP(X2,X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f655,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~frontsegP(X1,X0)|X1=X0|~ssList(nil)|~ssList(X2)|~ssList(X1)|~frontsegP(nil,X2)|~frontsegP(X2,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f641,f282])).
% 0.13/0.38 fof(f656,plain,(
% 0.13/0.38 spl0_27|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f655,f652,f525])).
% 0.13/0.38 fof(f664,plain,(
% 0.13/0.38 app(nil,sk0_47)=sk0_47),
% 0.13/0.38 inference(resolution,[status(thm)],[f249,f420])).
% 0.13/0.38 fof(f665,plain,(
% 0.13/0.38 app(nil,sk0_48)=sk0_48),
% 0.13/0.38 inference(resolution,[status(thm)],[f249,f421])).
% 0.13/0.38 fof(f668,plain,(
% 0.13/0.38 app(nil,nil)=nil),
% 0.13/0.38 inference(resolution,[status(thm)],[f249,f223])).
% 0.13/0.38 fof(f669,plain,(
% 0.13/0.38 spl0_28 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_47,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f672,plain,(
% 0.13/0.38 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(sk0_47)|~frontsegP(nil,X0)|frontsegP(sk0_47,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f664,f288])).
% 0.13/0.38 fof(f673,plain,(
% 0.13/0.38 ~spl0_8|spl0_28|~spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f672,f525,f669,f517])).
% 0.13/0.38 fof(f674,plain,(
% 0.13/0.38 spl0_29 <=> frontsegP(app(nil,sk0_47),nil)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f677,plain,(
% 0.13/0.38 ~ssList(sk0_47)|~ssList(nil)|frontsegP(app(nil,sk0_47),nil)|~ssList(sk0_47)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f664,f462])).
% 0.13/0.38 fof(f678,plain,(
% 0.13/0.38 ~spl0_6|~spl0_8|spl0_29),
% 0.13/0.38 inference(split_clause,[status(thm)],[f677,f517,f525,f674])).
% 0.13/0.38 fof(f680,plain,(
% 0.13/0.38 spl0_30 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f683,plain,(
% 0.13/0.38 spl0_31 <=> ssList(sk0_48)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f685,plain,(
% 0.13/0.38 ~ssList(sk0_48)|spl0_31),
% 0.13/0.38 inference(component_clause,[status(thm)],[f683])).
% 0.13/0.38 fof(f686,plain,(
% 0.13/0.38 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(sk0_48)|~frontsegP(nil,X0)|frontsegP(sk0_48,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f665,f288])).
% 0.13/0.38 fof(f687,plain,(
% 0.13/0.38 ~spl0_8|spl0_30|~spl0_31),
% 0.13/0.38 inference(split_clause,[status(thm)],[f686,f525,f680,f683])).
% 0.13/0.38 fof(f688,plain,(
% 0.13/0.38 spl0_32 <=> frontsegP(app(nil,sk0_48),nil)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f691,plain,(
% 0.13/0.38 ~ssList(sk0_48)|~ssList(nil)|frontsegP(app(nil,sk0_48),nil)|~ssList(sk0_48)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f665,f462])).
% 0.13/0.38 fof(f692,plain,(
% 0.13/0.38 ~spl0_31|~spl0_8|spl0_32),
% 0.13/0.38 inference(split_clause,[status(thm)],[f691,f683,f525,f688])).
% 0.13/0.38 fof(f693,plain,(
% 0.13/0.38 $false|spl0_31),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f685,f421])).
% 0.13/0.38 fof(f694,plain,(
% 0.13/0.38 spl0_31),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f693])).
% 0.13/0.38 fof(f696,plain,(
% 0.13/0.38 spl0_33 <=> ~ssList(X0)|~frontsegP(nil,X0)|frontsegP(nil,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f699,plain,(
% 0.13/0.38 ![X0]: (~ssList(nil)|~ssList(X0)|~ssList(nil)|~frontsegP(nil,X0)|frontsegP(nil,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f668,f288])).
% 0.13/0.38 fof(f700,plain,(
% 0.13/0.38 ~spl0_8|spl0_33),
% 0.13/0.38 inference(split_clause,[status(thm)],[f699,f525,f696])).
% 0.13/0.38 fof(f701,plain,(
% 0.13/0.38 spl0_34 <=> frontsegP(app(nil,nil),nil)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f704,plain,(
% 0.13/0.38 ~ssList(nil)|~ssList(nil)|frontsegP(app(nil,nil),nil)|~ssList(nil)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f668,f462])).
% 0.13/0.38 fof(f705,plain,(
% 0.13/0.38 ~spl0_8|spl0_34),
% 0.13/0.38 inference(split_clause,[status(thm)],[f704,f525,f701])).
% 0.13/0.38 fof(f707,plain,(
% 0.13/0.38 app(sk0_47,nil)=sk0_47),
% 0.13/0.38 inference(resolution,[status(thm)],[f389,f420])).
% 0.13/0.38 fof(f708,plain,(
% 0.13/0.38 app(sk0_48,nil)=sk0_48),
% 0.13/0.38 inference(resolution,[status(thm)],[f389,f421])).
% 0.13/0.38 fof(f712,plain,(
% 0.13/0.38 spl0_35 <=> ~ssList(X0)|~frontsegP(sk0_47,X0)|frontsegP(sk0_47,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f715,plain,(
% 0.13/0.38 ![X0]: (~ssList(sk0_47)|~ssList(X0)|~ssList(nil)|~frontsegP(sk0_47,X0)|frontsegP(sk0_47,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f707,f288])).
% 0.13/0.38 fof(f716,plain,(
% 0.13/0.38 ~spl0_6|spl0_35|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f715,f517,f712,f525])).
% 0.13/0.38 fof(f717,plain,(
% 0.13/0.38 spl0_36 <=> frontsegP(app(sk0_47,nil),sk0_47)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f720,plain,(
% 0.13/0.38 ~ssList(sk0_47)|~ssList(sk0_47)|frontsegP(app(sk0_47,nil),sk0_47)|~ssList(nil)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f707,f462])).
% 0.13/0.38 fof(f721,plain,(
% 0.13/0.38 ~spl0_6|spl0_36|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f720,f517,f717,f525])).
% 0.13/0.38 fof(f723,plain,(
% 0.13/0.38 spl0_37 <=> ~ssList(X0)|~frontsegP(sk0_48,X0)|frontsegP(sk0_48,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f726,plain,(
% 0.13/0.38 ![X0]: (~ssList(sk0_48)|~ssList(X0)|~ssList(nil)|~frontsegP(sk0_48,X0)|frontsegP(sk0_48,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f708,f288])).
% 0.13/0.38 fof(f727,plain,(
% 0.13/0.38 ~spl0_31|spl0_37|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f726,f683,f723,f525])).
% 0.13/0.38 fof(f728,plain,(
% 0.13/0.38 spl0_38 <=> frontsegP(app(sk0_48,nil),sk0_48)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f731,plain,(
% 0.13/0.38 ~ssList(sk0_48)|~ssList(sk0_48)|frontsegP(app(sk0_48,nil),sk0_48)|~ssList(nil)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f708,f462])).
% 0.13/0.38 fof(f732,plain,(
% 0.13/0.38 ~spl0_31|spl0_38|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f731,f683,f728,f525])).
% 0.13/0.38 fof(f734,plain,(
% 0.13/0.38 frontsegP(sk0_48,sk0_49)|~spl0_5),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f424,f455])).
% 0.13/0.38 fof(f735,plain,(
% 0.13/0.38 frontsegP(sk0_48,sk0_47)|~spl0_5),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f425,f734])).
% 0.13/0.38 fof(f759,plain,(
% 0.13/0.38 spl0_44 <=> neq(sk0_47,nil)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f761,plain,(
% 0.13/0.38 ~neq(sk0_47,nil)|spl0_44),
% 0.13/0.38 inference(component_clause,[status(thm)],[f759])).
% 0.13/0.38 fof(f762,plain,(
% 0.13/0.38 spl0_45 <=> frontsegP(sk0_48,sk0_47)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f764,plain,(
% 0.13/0.38 ~frontsegP(sk0_48,sk0_47)|spl0_45),
% 0.13/0.38 inference(component_clause,[status(thm)],[f762])).
% 0.13/0.38 fof(f765,plain,(
% 0.13/0.38 ~ssList(sk0_47)|~neq(sk0_47,nil)|~frontsegP(sk0_48,sk0_47)|~ssList(sk0_47)|~spl0_2),
% 0.13/0.38 inference(resolution,[status(thm)],[f444,f286])).
% 0.13/0.38 fof(f766,plain,(
% 0.13/0.38 ~spl0_6|~spl0_44|~spl0_45|~spl0_2),
% 0.13/0.38 inference(split_clause,[status(thm)],[f765,f517,f759,f762,f443])).
% 0.13/0.38 fof(f767,plain,(
% 0.13/0.38 $false|~spl0_4|spl0_44),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f761,f516])).
% 0.13/0.38 fof(f768,plain,(
% 0.13/0.38 ~spl0_4|spl0_44),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f767])).
% 0.13/0.38 fof(f770,plain,(
% 0.13/0.38 $false|~spl0_5|spl0_45),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f764,f735])).
% 0.13/0.38 fof(f771,plain,(
% 0.13/0.38 ~spl0_5|spl0_45),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f770])).
% 0.13/0.38 fof(f772,plain,(
% 0.13/0.38 ~ssList(sk0_47)|spl0_10),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f425,f549])).
% 0.13/0.38 fof(f773,plain,(
% 0.13/0.38 $false|spl0_10),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f772,f420])).
% 0.13/0.38 fof(f774,plain,(
% 0.13/0.38 spl0_10),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f773])).
% 0.13/0.38 fof(f795,plain,(
% 0.13/0.38 ~ssList(nil)|spl0_25),
% 0.13/0.38 inference(resolution,[status(thm)],[f637,f295])).
% 0.13/0.38 fof(f796,plain,(
% 0.13/0.38 ~spl0_8|spl0_25),
% 0.13/0.38 inference(split_clause,[status(thm)],[f795,f525,f635])).
% 0.13/0.38 fof(f837,plain,(
% 0.13/0.38 pd0_0(nil,nil)|~spl0_7|~spl0_0),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f521,f509])).
% 0.13/0.38 fof(f838,plain,(
% 0.13/0.38 $false|~spl0_7|~spl0_0),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f837,f488])).
% 0.13/0.38 fof(f839,plain,(
% 0.13/0.38 ~spl0_7|~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f838])).
% 0.13/0.38 fof(f840,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f442,f446,f453,f457,f507,f524,f532,f536,f542,f558,f566,f573,f581,f588,f597,f605,f639,f651,f656,f673,f678,f687,f692,f694,f700,f705,f716,f721,f727,f732,f766,f768,f771,f774,f796,f839])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.032603 seconds
% 0.13/0.39 % CPU time: 0.080243 seconds
% 0.13/0.39 % Total memory used: 17.110 MB
% 0.13/0.39 % Net memory used: 17.058 MB
%------------------------------------------------------------------------------