TSTP Solution File: SWC065+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC065+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:44:23 EDT 2024
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC065+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 : n002.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 00:21:24 EDT 2024
% 0.18/0.35 % CPUTime :
% 0.18/0.37 % Drodi V3.6.0
% 0.19/0.47 % Refutation found
% 0.19/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.47 fof(f7,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f15,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f17,axiom,(
% 0.19/0.47 ssList(nil) ),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f28,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f55,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f57,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f58,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f84,axiom,(
% 0.19/0.47 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f96,conjecture,(
% 0.19/0.47 (! [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)| (? [X3] :( ssList(X3)& neq(X3,nil)& segmentP(V,X3)& segmentP(U,X3) ) )) ) ) ) )) )) )) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f97,negated_conjecture,(
% 0.19/0.47 ~((! [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)| (? [X3] :( ssList(X3)& neq(X3,nil)& segmentP(V,X3)& segmentP(U,X3) ) )) ) ) ) )) )) )) ))),
% 0.19/0.47 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/0.47 fof(f131,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.19/0.47 fof(f132,plain,(
% 0.19/0.47 ![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)))))))))),
% 0.19/0.47 inference(NNF_transformation,[status(esa)],[f131])).
% 0.19/0.47 fof(f133,plain,(
% 0.19/0.47 ![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)))))))))),
% 0.19/0.47 inference(skolemization,[status(esa)],[f132])).
% 0.19/0.47 fof(f137,plain,(
% 0.19/0.47 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f133])).
% 0.19/0.47 fof(f217,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.19/0.47 fof(f218,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.19/0.47 inference(NNF_transformation,[status(esa)],[f217])).
% 0.19/0.47 fof(f220,plain,(
% 0.19/0.47 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f218])).
% 0.19/0.47 fof(f223,plain,(
% 0.19/0.47 ssList(nil)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.47 fof(f248,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.19/0.47 fof(f249,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f248])).
% 0.19/0.47 fof(f318,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.19/0.47 fof(f319,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f318])).
% 0.19/0.47 fof(f322,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.19/0.47 fof(f323,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f322])).
% 0.19/0.47 fof(f324,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.19/0.47 fof(f325,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.19/0.47 inference(NNF_transformation,[status(esa)],[f324])).
% 0.19/0.47 fof(f326,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f325])).
% 0.19/0.47 fof(f388,plain,(
% 0.19/0.47 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.19/0.47 fof(f389,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f388])).
% 0.19/0.47 fof(f415,plain,(
% 0.19/0.47 (?[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)&(![X3]: (((~ssList(X3)|~neq(X3,nil))|~segmentP(V,X3))|~segmentP(U,X3))))))))))))))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.19/0.47 fof(f416,plain,(
% 0.19/0.47 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.19/0.47 introduced(predicate_definition,[f415])).
% 0.19/0.47 fof(f417,plain,(
% 0.19/0.47 ?[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)&(![X3]: (((~ssList(X3)|~neq(X3,nil))|~segmentP(V,X3))|~segmentP(U,X3)))))))))))))),
% 0.19/0.47 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.19/0.47 fof(f418,plain,(
% 0.19/0.47 ?[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)&(![X3]: (((~ssList(X3)|~neq(X3,nil))|~segmentP(V,X3))|~segmentP(U,X3)))))))))))))),
% 0.19/0.47 inference(miniscoping,[status(esa)],[f417])).
% 0.19/0.47 fof(f419,plain,(
% 0.19/0.47 (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)&(![X3]: (((~ssList(X3)|~neq(X3,nil))|~segmentP(sk0_48,X3))|~segmentP(sk0_47,X3))))))))))),
% 0.19/0.47 inference(skolemization,[status(esa)],[f418])).
% 0.19/0.47 fof(f420,plain,(
% 0.19/0.47 ssList(sk0_47)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f421,plain,(
% 0.19/0.47 ssList(sk0_48)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f424,plain,(
% 0.19/0.47 sk0_48=sk0_50),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f425,plain,(
% 0.19/0.47 sk0_47=sk0_49),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f426,plain,(
% 0.19/0.47 ssList(sk0_51)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f427,plain,(
% 0.19/0.47 app(sk0_49,sk0_51)=sk0_50),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f430,plain,(
% 0.19/0.47 nil=sk0_50|~nil=sk0_49),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f431,plain,(
% 0.19/0.47 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f432,plain,(
% 0.19/0.47 ![X0]: (pd0_0(sk0_48,sk0_47)|~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f419])).
% 0.19/0.47 fof(f433,plain,(
% 0.19/0.47 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.19/0.47 fof(f434,plain,(
% 0.19/0.47 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f433])).
% 0.19/0.47 fof(f435,plain,(
% 0.19/0.47 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.19/0.47 inference(cnf_transformation,[status(esa)],[f433])).
% 0.19/0.47 fof(f436,plain,(
% 0.19/0.47 spl0_0 <=> nil=sk0_50),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f437,plain,(
% 0.19/0.47 nil=sk0_50|~spl0_0),
% 0.19/0.47 inference(component_clause,[status(thm)],[f436])).
% 0.19/0.47 fof(f439,plain,(
% 0.19/0.47 spl0_1 <=> nil=sk0_49),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f441,plain,(
% 0.19/0.47 ~nil=sk0_49|spl0_1),
% 0.19/0.47 inference(component_clause,[status(thm)],[f439])).
% 0.19/0.47 fof(f442,plain,(
% 0.19/0.47 spl0_0|~spl0_1),
% 0.19/0.47 inference(split_clause,[status(thm)],[f430,f436,f439])).
% 0.19/0.47 fof(f443,plain,(
% 0.19/0.47 spl0_2 <=> pd0_0(sk0_48,sk0_47)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f444,plain,(
% 0.19/0.47 pd0_0(sk0_48,sk0_47)|~spl0_2),
% 0.19/0.47 inference(component_clause,[status(thm)],[f443])).
% 0.19/0.47 fof(f446,plain,(
% 0.19/0.47 spl0_3 <=> neq(sk0_48,nil)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f447,plain,(
% 0.19/0.47 neq(sk0_48,nil)|~spl0_3),
% 0.19/0.47 inference(component_clause,[status(thm)],[f446])).
% 0.19/0.47 fof(f449,plain,(
% 0.19/0.47 spl0_2|spl0_3),
% 0.19/0.47 inference(split_clause,[status(thm)],[f431,f443,f446])).
% 0.19/0.47 fof(f450,plain,(
% 0.19/0.47 spl0_4 <=> ~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f451,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_4)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f450])).
% 0.19/0.47 fof(f453,plain,(
% 0.19/0.47 spl0_2|spl0_4),
% 0.19/0.47 inference(split_clause,[status(thm)],[f432,f443,f450])).
% 0.19/0.47 fof(f460,plain,(
% 0.19/0.47 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.19/0.47 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.19/0.47 fof(f484,plain,(
% 0.19/0.47 ![X0]: (~pd0_0(X0,nil))),
% 0.19/0.47 inference(destructive_equality_resolution,[status(esa)],[f435])).
% 0.19/0.47 fof(f488,plain,(
% 0.19/0.47 app(sk0_47,sk0_51)=sk0_50),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f425,f427])).
% 0.19/0.47 fof(f489,plain,(
% 0.19/0.47 app(sk0_47,sk0_51)=sk0_48),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f424,f488])).
% 0.19/0.47 fof(f490,plain,(
% 0.19/0.47 spl0_5 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f491,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_5)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f490])).
% 0.19/0.47 fof(f493,plain,(
% 0.19/0.47 spl0_6 <=> ssList(sk0_51)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f495,plain,(
% 0.19/0.47 ~ssList(sk0_51)|spl0_6),
% 0.19/0.47 inference(component_clause,[status(thm)],[f493])).
% 0.19/0.47 fof(f496,plain,(
% 0.19/0.47 spl0_7 <=> ssList(sk0_47)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f498,plain,(
% 0.19/0.47 ~ssList(sk0_47)|spl0_7),
% 0.19/0.47 inference(component_clause,[status(thm)],[f496])).
% 0.19/0.47 fof(f499,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_51)|segmentP(app(app(sk0_47,sk0_51),X0),sk0_51)|~ssList(sk0_47)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f489,f460])).
% 0.19/0.47 fof(f500,plain,(
% 0.19/0.47 spl0_5|~spl0_6|~spl0_7),
% 0.19/0.47 inference(split_clause,[status(thm)],[f499,f490,f493,f496])).
% 0.19/0.47 fof(f501,plain,(
% 0.19/0.47 $false|spl0_7),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f498,f420])).
% 0.19/0.47 fof(f502,plain,(
% 0.19/0.47 spl0_7),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f501])).
% 0.19/0.47 fof(f503,plain,(
% 0.19/0.47 $false|spl0_6),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f495,f426])).
% 0.19/0.47 fof(f504,plain,(
% 0.19/0.47 spl0_6),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f503])).
% 0.19/0.47 fof(f505,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_51)|~ssList(X0)|~spl0_5)),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f489,f491])).
% 0.19/0.47 fof(f510,plain,(
% 0.19/0.47 app(nil,sk0_51)=sk0_51),
% 0.19/0.47 inference(resolution,[status(thm)],[f249,f426])).
% 0.19/0.47 fof(f511,plain,(
% 0.19/0.47 app(nil,nil)=nil),
% 0.19/0.47 inference(resolution,[status(thm)],[f249,f223])).
% 0.19/0.47 fof(f512,plain,(
% 0.19/0.47 app(nil,sk0_48)=sk0_48),
% 0.19/0.47 inference(resolution,[status(thm)],[f249,f421])).
% 0.19/0.47 fof(f513,plain,(
% 0.19/0.47 app(nil,sk0_47)=sk0_47),
% 0.19/0.47 inference(resolution,[status(thm)],[f249,f420])).
% 0.19/0.47 fof(f514,plain,(
% 0.19/0.47 spl0_8 <=> ~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f515,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(X0)|~spl0_8)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f514])).
% 0.19/0.47 fof(f517,plain,(
% 0.19/0.47 spl0_9 <=> ssList(nil)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f519,plain,(
% 0.19/0.47 ~ssList(nil)|spl0_9),
% 0.19/0.47 inference(component_clause,[status(thm)],[f517])).
% 0.19/0.47 fof(f520,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_51,X0))|~ssList(sk0_51)|segmentP(app(app(nil,sk0_51),X0),sk0_51)|~ssList(nil)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f510,f460])).
% 0.19/0.47 fof(f521,plain,(
% 0.19/0.47 spl0_8|~spl0_6|~spl0_9),
% 0.19/0.47 inference(split_clause,[status(thm)],[f520,f514,f493,f517])).
% 0.19/0.47 fof(f522,plain,(
% 0.19/0.47 $false|spl0_9),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f519,f223])).
% 0.19/0.47 fof(f523,plain,(
% 0.19/0.47 spl0_9),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f522])).
% 0.19/0.47 fof(f524,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_51,X0))|segmentP(app(sk0_51,X0),sk0_51)|~ssList(X0)|~spl0_8)),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f510,f515])).
% 0.19/0.47 fof(f525,plain,(
% 0.19/0.47 spl0_10 <=> ~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f528,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f511,f460])).
% 0.19/0.47 fof(f529,plain,(
% 0.19/0.47 spl0_10|~spl0_9),
% 0.19/0.47 inference(split_clause,[status(thm)],[f528,f525,f517])).
% 0.19/0.47 fof(f531,plain,(
% 0.19/0.47 ~nil=sk0_47|spl0_1),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f425,f441])).
% 0.19/0.47 fof(f532,plain,(
% 0.19/0.47 nil=sk0_48|~spl0_2),
% 0.19/0.47 inference(resolution,[status(thm)],[f444,f434])).
% 0.19/0.47 fof(f533,plain,(
% 0.19/0.47 pd0_0(nil,sk0_47)|~spl0_2),
% 0.19/0.47 inference(backward_demodulation,[status(thm)],[f532,f444])).
% 0.19/0.47 fof(f545,plain,(
% 0.19/0.47 spl0_12 <=> ssList(app(nil,nil))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f547,plain,(
% 0.19/0.47 ~ssList(app(nil,nil))|spl0_12),
% 0.19/0.47 inference(component_clause,[status(thm)],[f545])).
% 0.19/0.47 fof(f548,plain,(
% 0.19/0.47 spl0_13 <=> segmentP(nil,sk0_51)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f549,plain,(
% 0.19/0.47 segmentP(nil,sk0_51)|~spl0_13),
% 0.19/0.47 inference(component_clause,[status(thm)],[f548])).
% 0.19/0.47 fof(f556,plain,(
% 0.19/0.47 spl0_15 <=> segmentP(sk0_51,sk0_51)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f557,plain,(
% 0.19/0.47 segmentP(sk0_51,sk0_51)|~spl0_15),
% 0.19/0.47 inference(component_clause,[status(thm)],[f556])).
% 0.19/0.47 fof(f561,plain,(
% 0.19/0.47 spl0_16 <=> ssList(sk0_48)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f563,plain,(
% 0.19/0.47 ~ssList(sk0_48)|spl0_16),
% 0.19/0.47 inference(component_clause,[status(thm)],[f561])).
% 0.19/0.47 fof(f564,plain,(
% 0.19/0.47 spl0_17 <=> segmentP(sk0_48,sk0_48)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f567,plain,(
% 0.19/0.47 spl0_18 <=> segmentP(sk0_47,sk0_48)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f569,plain,(
% 0.19/0.47 ~segmentP(sk0_47,sk0_48)|spl0_18),
% 0.19/0.47 inference(component_clause,[status(thm)],[f567])).
% 0.19/0.47 fof(f570,plain,(
% 0.19/0.47 ~ssList(sk0_48)|~segmentP(sk0_48,sk0_48)|~segmentP(sk0_47,sk0_48)|~spl0_4|~spl0_3),
% 0.19/0.47 inference(resolution,[status(thm)],[f451,f447])).
% 0.19/0.47 fof(f571,plain,(
% 0.19/0.47 ~spl0_16|~spl0_17|~spl0_18|~spl0_4|~spl0_3),
% 0.19/0.47 inference(split_clause,[status(thm)],[f570,f561,f564,f567,f450,f446])).
% 0.19/0.47 fof(f573,plain,(
% 0.19/0.47 spl0_19 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f574,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(X0)|~spl0_19)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f573])).
% 0.19/0.47 fof(f576,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(sk0_48)|segmentP(app(app(nil,sk0_48),X0),sk0_48)|~ssList(nil)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f512,f460])).
% 0.19/0.47 fof(f577,plain,(
% 0.19/0.47 spl0_19|~spl0_16|~spl0_9),
% 0.19/0.47 inference(split_clause,[status(thm)],[f576,f573,f561,f517])).
% 0.19/0.47 fof(f578,plain,(
% 0.19/0.47 $false|spl0_16),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f563,f421])).
% 0.19/0.47 fof(f579,plain,(
% 0.19/0.47 spl0_16),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f578])).
% 0.19/0.47 fof(f580,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_48)|~ssList(X0)|~spl0_19)),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f512,f574])).
% 0.19/0.47 fof(f583,plain,(
% 0.19/0.47 spl0_20 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f584,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_20)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f583])).
% 0.19/0.47 fof(f586,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f513,f460])).
% 0.19/0.47 fof(f587,plain,(
% 0.19/0.47 spl0_20|~spl0_7|~spl0_9),
% 0.19/0.47 inference(split_clause,[status(thm)],[f586,f583,f496,f517])).
% 0.19/0.47 fof(f588,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_20)),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f513,f584])).
% 0.19/0.47 fof(f589,plain,(
% 0.19/0.47 spl0_21 <=> ssList(app(sk0_47,sk0_51))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f591,plain,(
% 0.19/0.47 ~ssList(app(sk0_47,sk0_51))|spl0_21),
% 0.19/0.47 inference(component_clause,[status(thm)],[f589])).
% 0.19/0.47 fof(f592,plain,(
% 0.19/0.47 spl0_22 <=> segmentP(sk0_48,sk0_47)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f593,plain,(
% 0.19/0.47 segmentP(sk0_48,sk0_47)|~spl0_22),
% 0.19/0.47 inference(component_clause,[status(thm)],[f592])).
% 0.19/0.47 fof(f595,plain,(
% 0.19/0.47 ~ssList(app(sk0_47,sk0_51))|segmentP(sk0_48,sk0_47)|~ssList(sk0_51)|~spl0_20),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f489,f588])).
% 0.19/0.47 fof(f596,plain,(
% 0.19/0.47 ~spl0_21|spl0_22|~spl0_6|~spl0_20),
% 0.19/0.47 inference(split_clause,[status(thm)],[f595,f589,f592,f493,f583])).
% 0.19/0.47 fof(f599,plain,(
% 0.19/0.47 ~ssList(sk0_48)|spl0_21),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f489,f591])).
% 0.19/0.47 fof(f600,plain,(
% 0.19/0.47 $false|spl0_21),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f599,f421])).
% 0.19/0.47 fof(f601,plain,(
% 0.19/0.47 spl0_21),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f600])).
% 0.19/0.47 fof(f628,plain,(
% 0.19/0.47 app(sk0_48,nil)=sk0_48),
% 0.19/0.47 inference(resolution,[status(thm)],[f389,f421])).
% 0.19/0.47 fof(f629,plain,(
% 0.19/0.47 app(sk0_51,nil)=sk0_51),
% 0.19/0.47 inference(resolution,[status(thm)],[f389,f426])).
% 0.19/0.47 fof(f631,plain,(
% 0.19/0.47 app(sk0_47,nil)=sk0_47),
% 0.19/0.47 inference(resolution,[status(thm)],[f389,f420])).
% 0.19/0.47 fof(f632,plain,(
% 0.19/0.47 spl0_27 <=> ssList(app(sk0_48,nil))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f634,plain,(
% 0.19/0.47 ~ssList(app(sk0_48,nil))|spl0_27),
% 0.19/0.47 inference(component_clause,[status(thm)],[f632])).
% 0.19/0.47 fof(f635,plain,(
% 0.19/0.47 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_48)|~ssList(nil)|~spl0_19),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f628,f580])).
% 0.19/0.47 fof(f636,plain,(
% 0.19/0.47 ~spl0_27|spl0_17|~spl0_9|~spl0_19),
% 0.19/0.47 inference(split_clause,[status(thm)],[f635,f632,f564,f517,f573])).
% 0.19/0.47 fof(f637,plain,(
% 0.19/0.47 spl0_28 <=> segmentP(sk0_48,sk0_51)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f638,plain,(
% 0.19/0.47 segmentP(sk0_48,sk0_51)|~spl0_28),
% 0.19/0.47 inference(component_clause,[status(thm)],[f637])).
% 0.19/0.47 fof(f640,plain,(
% 0.19/0.47 ~ssList(app(sk0_48,nil))|segmentP(sk0_48,sk0_51)|~ssList(nil)|~spl0_5),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f628,f505])).
% 0.19/0.47 fof(f641,plain,(
% 0.19/0.47 ~spl0_27|spl0_28|~spl0_9|~spl0_5),
% 0.19/0.47 inference(split_clause,[status(thm)],[f640,f632,f637,f517,f490])).
% 0.19/0.47 fof(f642,plain,(
% 0.19/0.47 spl0_29 <=> ~ssList(app(sk0_48,X0))|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f645,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_48,X0))|~ssList(nil)|segmentP(app(app(sk0_48,nil),X0),nil)|~ssList(sk0_48)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f628,f460])).
% 0.19/0.47 fof(f646,plain,(
% 0.19/0.47 spl0_29|~spl0_9|~spl0_16),
% 0.19/0.47 inference(split_clause,[status(thm)],[f645,f642,f517,f561])).
% 0.19/0.47 fof(f647,plain,(
% 0.19/0.47 ~ssList(sk0_48)|spl0_27),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f628,f634])).
% 0.19/0.47 fof(f648,plain,(
% 0.19/0.47 $false|spl0_27),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f647,f421])).
% 0.19/0.47 fof(f649,plain,(
% 0.19/0.47 spl0_27),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f648])).
% 0.19/0.47 fof(f652,plain,(
% 0.19/0.47 spl0_30 <=> ssList(app(sk0_51,nil))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f654,plain,(
% 0.19/0.47 ~ssList(app(sk0_51,nil))|spl0_30),
% 0.19/0.47 inference(component_clause,[status(thm)],[f652])).
% 0.19/0.47 fof(f655,plain,(
% 0.19/0.47 ~ssList(app(sk0_51,nil))|segmentP(sk0_51,sk0_51)|~ssList(nil)|~spl0_8),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f629,f524])).
% 0.19/0.47 fof(f656,plain,(
% 0.19/0.47 ~spl0_30|spl0_15|~spl0_9|~spl0_8),
% 0.19/0.47 inference(split_clause,[status(thm)],[f655,f652,f556,f517,f514])).
% 0.19/0.47 fof(f657,plain,(
% 0.19/0.47 spl0_31 <=> ~ssList(app(sk0_51,X0))|segmentP(app(app(sk0_51,nil),X0),nil)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f660,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_51,X0))|~ssList(nil)|segmentP(app(app(sk0_51,nil),X0),nil)|~ssList(sk0_51)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f629,f460])).
% 0.19/0.47 fof(f661,plain,(
% 0.19/0.47 spl0_31|~spl0_9|~spl0_6),
% 0.19/0.47 inference(split_clause,[status(thm)],[f660,f657,f517,f493])).
% 0.19/0.47 fof(f662,plain,(
% 0.19/0.47 ~ssList(sk0_51)|spl0_30),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f629,f654])).
% 0.19/0.47 fof(f663,plain,(
% 0.19/0.47 $false|spl0_30),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f662,f426])).
% 0.19/0.47 fof(f664,plain,(
% 0.19/0.47 spl0_30),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f663])).
% 0.19/0.47 fof(f667,plain,(
% 0.19/0.47 spl0_32 <=> ssList(app(sk0_47,nil))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f669,plain,(
% 0.19/0.47 ~ssList(app(sk0_47,nil))|spl0_32),
% 0.19/0.47 inference(component_clause,[status(thm)],[f667])).
% 0.19/0.47 fof(f670,plain,(
% 0.19/0.47 spl0_33 <=> segmentP(sk0_47,sk0_47)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f671,plain,(
% 0.19/0.47 segmentP(sk0_47,sk0_47)|~spl0_33),
% 0.19/0.47 inference(component_clause,[status(thm)],[f670])).
% 0.19/0.47 fof(f673,plain,(
% 0.19/0.47 ~ssList(app(sk0_47,nil))|segmentP(sk0_47,sk0_47)|~ssList(nil)|~spl0_20),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f631,f588])).
% 0.19/0.47 fof(f674,plain,(
% 0.19/0.47 ~spl0_32|spl0_33|~spl0_9|~spl0_20),
% 0.19/0.47 inference(split_clause,[status(thm)],[f673,f667,f670,f517,f583])).
% 0.19/0.47 fof(f675,plain,(
% 0.19/0.47 spl0_34 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(X0)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f678,plain,(
% 0.19/0.47 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(nil)|segmentP(app(app(sk0_47,nil),X0),nil)|~ssList(sk0_47)|~ssList(X0))),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f631,f460])).
% 0.19/0.47 fof(f679,plain,(
% 0.19/0.47 spl0_34|~spl0_9|~spl0_7),
% 0.19/0.47 inference(split_clause,[status(thm)],[f678,f675,f517,f496])).
% 0.19/0.47 fof(f680,plain,(
% 0.19/0.47 ~ssList(sk0_47)|spl0_32),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f631,f669])).
% 0.19/0.47 fof(f681,plain,(
% 0.19/0.47 $false|spl0_32),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f680,f420])).
% 0.19/0.47 fof(f682,plain,(
% 0.19/0.47 spl0_32),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f681])).
% 0.19/0.47 fof(f697,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.19/0.47 inference(resolution,[status(thm)],[f220,f223])).
% 0.19/0.47 fof(f763,plain,(
% 0.19/0.47 spl0_35 <=> nil=nil),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f766,plain,(
% 0.19/0.47 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.19/0.47 inference(resolution,[status(thm)],[f326,f323])).
% 0.19/0.47 fof(f767,plain,(
% 0.19/0.47 ~spl0_9|spl0_35),
% 0.19/0.47 inference(split_clause,[status(thm)],[f766,f517,f763])).
% 0.19/0.47 fof(f770,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|X0=nil|~ssList(X0)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_4)),
% 0.19/0.47 inference(resolution,[status(thm)],[f697,f451])).
% 0.19/0.47 fof(f771,plain,(
% 0.19/0.47 ![X0]: (~ssList(X0)|X0=nil|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0)|~spl0_4)),
% 0.19/0.47 inference(duplicate_literals_removal,[status(esa)],[f770])).
% 0.19/0.47 fof(f786,plain,(
% 0.19/0.47 spl0_36 <=> sk0_47=nil),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f787,plain,(
% 0.19/0.47 sk0_47=nil|~spl0_36),
% 0.19/0.47 inference(component_clause,[status(thm)],[f786])).
% 0.19/0.47 fof(f796,plain,(
% 0.19/0.47 ~ssList(sk0_47)|sk0_47=nil|~segmentP(sk0_48,sk0_47)|~ssList(sk0_47)|~spl0_4),
% 0.19/0.47 inference(resolution,[status(thm)],[f771,f319])).
% 0.19/0.47 fof(f797,plain,(
% 0.19/0.47 ~spl0_7|spl0_36|~spl0_22|~spl0_4),
% 0.19/0.47 inference(split_clause,[status(thm)],[f796,f496,f786,f592,f450])).
% 0.19/0.47 fof(f798,plain,(
% 0.19/0.47 ~ssList(nil)|spl0_12),
% 0.19/0.47 inference(forward_demodulation,[status(thm)],[f511,f547])).
% 0.19/0.47 fof(f799,plain,(
% 0.19/0.47 $false|spl0_12),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f798,f223])).
% 0.19/0.47 fof(f800,plain,(
% 0.19/0.47 spl0_12),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f799])).
% 0.19/0.47 fof(f817,plain,(
% 0.19/0.47 segmentP(nil,sk0_47)|~spl0_2|~spl0_22),
% 0.19/0.47 inference(backward_demodulation,[status(thm)],[f532,f593])).
% 0.19/0.47 fof(f830,plain,(
% 0.19/0.47 spl0_38 <=> nil=sk0_51),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f831,plain,(
% 0.19/0.47 nil=sk0_51|~spl0_38),
% 0.19/0.47 inference(component_clause,[status(thm)],[f830])).
% 0.19/0.47 fof(f833,plain,(
% 0.19/0.47 ~ssList(sk0_51)|nil=sk0_51|~spl0_13),
% 0.19/0.47 inference(resolution,[status(thm)],[f549,f326])).
% 0.19/0.48 fof(f834,plain,(
% 0.19/0.48 ~spl0_6|spl0_38|~spl0_13),
% 0.19/0.48 inference(split_clause,[status(thm)],[f833,f493,f830,f548])).
% 0.19/0.48 fof(f837,plain,(
% 0.19/0.48 segmentP(sk0_51,nil)|~spl0_38|~spl0_15),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f831,f557])).
% 0.19/0.48 fof(f838,plain,(
% 0.19/0.48 segmentP(nil,nil)|~spl0_38|~spl0_15),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f831,f837])).
% 0.19/0.48 fof(f866,plain,(
% 0.19/0.48 ~ssList(sk0_47)|nil=sk0_47|~spl0_2|~spl0_22),
% 0.19/0.48 inference(resolution,[status(thm)],[f817,f326])).
% 0.19/0.48 fof(f867,plain,(
% 0.19/0.48 ~spl0_7|spl0_36|~spl0_2|~spl0_22),
% 0.19/0.48 inference(split_clause,[status(thm)],[f866,f496,f786,f443,f592])).
% 0.19/0.48 fof(f868,plain,(
% 0.19/0.48 $false|spl0_1|~spl0_36),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f787,f531])).
% 0.19/0.48 fof(f869,plain,(
% 0.19/0.48 spl0_1|~spl0_36),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f868])).
% 0.19/0.48 fof(f871,plain,(
% 0.19/0.48 pd0_0(nil,nil)|~spl0_36|~spl0_2),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f787,f533])).
% 0.19/0.48 fof(f872,plain,(
% 0.19/0.48 $false|~spl0_36|~spl0_2),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f871,f484])).
% 0.19/0.48 fof(f873,plain,(
% 0.19/0.48 ~spl0_36|~spl0_2),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f872])).
% 0.19/0.48 fof(f874,plain,(
% 0.19/0.48 segmentP(sk0_47,nil)|~spl0_36|~spl0_33),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f787,f671])).
% 0.19/0.48 fof(f875,plain,(
% 0.19/0.48 segmentP(nil,nil)|~spl0_36|~spl0_33),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f787,f874])).
% 0.19/0.48 fof(f892,plain,(
% 0.19/0.48 ~segmentP(nil,sk0_48)|~spl0_36|spl0_18),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f787,f569])).
% 0.19/0.48 fof(f900,plain,(
% 0.19/0.48 app(nil,sk0_51)=sk0_48|~spl0_36),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f787,f489])).
% 0.19/0.48 fof(f901,plain,(
% 0.19/0.48 app(nil,nil)=sk0_48|~spl0_38|~spl0_36),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f831,f900])).
% 0.19/0.48 fof(f902,plain,(
% 0.19/0.48 nil=sk0_48|~spl0_38|~spl0_36),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f511,f901])).
% 0.19/0.48 fof(f909,plain,(
% 0.19/0.48 ~segmentP(nil,nil)|~spl0_38|~spl0_36|spl0_18),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f902,f892])).
% 0.19/0.48 fof(f910,plain,(
% 0.19/0.48 $false|~spl0_15|~spl0_38|~spl0_36|spl0_18),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f909,f838])).
% 0.19/0.48 fof(f911,plain,(
% 0.19/0.48 ~spl0_15|~spl0_38|~spl0_36|spl0_18),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f910])).
% 0.19/0.48 fof(f920,plain,(
% 0.19/0.48 spl0_40 <=> segmentP(nil,nil)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f922,plain,(
% 0.19/0.48 ~segmentP(nil,nil)|spl0_40),
% 0.19/0.48 inference(component_clause,[status(thm)],[f920])).
% 0.19/0.48 fof(f925,plain,(
% 0.19/0.48 $false|~spl0_36|~spl0_33|spl0_40),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f922,f875])).
% 0.19/0.48 fof(f926,plain,(
% 0.19/0.48 ~spl0_36|~spl0_33|spl0_40),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f925])).
% 0.19/0.48 fof(f948,plain,(
% 0.19/0.48 sk0_48=nil|~spl0_0),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f437,f424])).
% 0.19/0.48 fof(f953,plain,(
% 0.19/0.48 segmentP(nil,sk0_51)|~spl0_0|~spl0_28),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f948,f638])).
% 0.19/0.48 fof(f954,plain,(
% 0.19/0.48 spl0_13|~spl0_0|~spl0_28),
% 0.19/0.48 inference(split_clause,[status(thm)],[f953,f548,f436,f637])).
% 0.19/0.48 fof(f959,plain,(
% 0.19/0.48 $false),
% 0.19/0.48 inference(sat_refutation,[status(thm)],[f442,f449,f453,f500,f502,f504,f521,f523,f529,f571,f577,f579,f587,f596,f601,f636,f641,f646,f649,f656,f661,f664,f674,f679,f682,f767,f797,f800,f834,f867,f869,f873,f911,f926,f954])).
% 0.19/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.48 % Elapsed time: 0.123151 seconds
% 0.19/0.48 % CPU time: 0.830785 seconds
% 0.19/0.48 % Total memory used: 74.149 MB
% 0.19/0.48 % Net memory used: 73.578 MB
%------------------------------------------------------------------------------