TSTP Solution File: SWC299+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC299+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:39:58 EDT 2023
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC299+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 11:35:32 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f2,axiom,(
% 0.19/0.49 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f3,axiom,(
% 0.19/0.49 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f16,axiom,(
% 0.19/0.49 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f17,axiom,(
% 0.19/0.49 ssList(nil) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f26,axiom,(
% 0.19/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f36,axiom,(
% 0.19/0.49 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f37,axiom,(
% 0.19/0.49 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> ( memberP(cons(V,W),U)<=> ( U = V| memberP(W,U) ) ) ) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f38,axiom,(
% 0.19/0.49 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f82,axiom,(
% 0.19/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> app(app(U,V),W) = app(U,app(V,W)) ) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f90,axiom,(
% 0.19/0.49 (! [U] :( ssItem(U)=> ~ lt(U,U) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f96,conjecture,(
% 0.19/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssItem(Y)=> (! [Z] :( ssItem(Z)=> (! [X1] :( ssList(X1)=> (! [X2] :( ssList(X2)=> (! [X3] :( ssList(X3)=> ( app(app(app(app(X1,cons(Y,nil)),X2),cons(Z,nil)),X3) != U| ~ lt(Z,Y) ) ) )) )) )) )))| ( (! [X4] :( ssItem(X4)=> (! [X5] :( ssList(X5)=> (! [X6] :( ssList(X6)=> ( cons(X4,nil) != W| app(app(X5,W),X6) != X| (? [X7] :( ssItem(X7)& memberP(X5,X7)& lt(X4,X7) ))| (? [X8] :( ssItem(X8)& memberP(X6,X8)& lt(X8,X4) ) )) ) )) )))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f97,negated_conjecture,(
% 0.19/0.49 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssItem(Y)=> (! [Z] :( ssItem(Z)=> (! [X1] :( ssList(X1)=> (! [X2] :( ssList(X2)=> (! [X3] :( ssList(X3)=> ( app(app(app(app(X1,cons(Y,nil)),X2),cons(Z,nil)),X3) != U| ~ lt(Z,Y) ) ) )) )) )) )))| ( (! [X4] :( ssItem(X4)=> (! [X5] :( ssList(X5)=> (! [X6] :( ssList(X6)=> ( cons(X4,nil) != W| app(app(X5,W),X6) != X| (? [X7] :( ssItem(X7)& memberP(X5,X7)& lt(X4,X7) ))| (? [X8] :( ssItem(X8)& memberP(X6,X8)& lt(X8,X4) ) )) ) )) )))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/0.49 fof(f102,plain,(
% 0.19/0.49 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f2])).
% 0.19/0.49 fof(f104,plain,(
% 0.19/0.49 ssItem(sk0_1)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f102])).
% 0.19/0.49 fof(f106,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.19/0.49 fof(f107,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f106])).
% 0.19/0.49 fof(f108,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f107])).
% 0.19/0.49 fof(f112,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f108])).
% 0.19/0.49 fof(f221,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.19/0.49 fof(f222,plain,(
% 0.19/0.49 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f221])).
% 0.19/0.49 fof(f223,plain,(
% 0.19/0.49 ssList(nil)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.49 fof(f244,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.19/0.49 fof(f245,plain,(
% 0.19/0.49 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f244])).
% 0.19/0.49 fof(f268,plain,(
% 0.19/0.49 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.19/0.49 fof(f269,plain,(
% 0.19/0.49 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f268])).
% 0.19/0.49 fof(f271,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f269])).
% 0.19/0.49 fof(f273,plain,(
% 0.19/0.49 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(memberP(cons(V,W),U)<=>(U=V|memberP(W,U))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.19/0.49 fof(f274,plain,(
% 0.19/0.49 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|((~memberP(cons(V,W),U)|(U=V|memberP(W,U)))&(memberP(cons(V,W),U)|(~U=V&~memberP(W,U)))))))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f273])).
% 0.19/0.49 fof(f275,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~memberP(cons(X1,X2),X0)|X0=X1|memberP(X2,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f274])).
% 0.19/0.49 fof(f278,plain,(
% 0.19/0.49 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.19/0.49 fof(f279,plain,(
% 0.19/0.49 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f278])).
% 0.19/0.49 fof(f381,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|app(app(U,V),W)=app(U,app(V,W)))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.19/0.49 fof(f382,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X0,X1),X2)=app(X0,app(X1,X2)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f381])).
% 0.19/0.49 fof(f400,plain,(
% 0.19/0.49 ![U]: (~ssItem(U)|~lt(U,U))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 0.19/0.49 fof(f401,plain,(
% 0.19/0.49 ![X0]: (~ssItem(X0)|~lt(X0,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f400])).
% 0.19/0.49 fof(f415,plain,(
% 0.19/0.49 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(?[Y]: (ssItem(Y)&(?[Z]: (ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(?[X3]: (ssList(X3)&(app(app(app(app(X1,cons(Y,nil)),X2),cons(Z,nil)),X3)=U<(Z,Y)))))))))))))&((?[X4]: (ssItem(X4)&(?[X5]: (ssList(X5)&(?[X6]: (ssList(X6)&(((cons(X4,nil)=W&app(app(X5,W),X6)=X)&(![X7]: ((~ssItem(X7)|~memberP(X5,X7))|~lt(X4,X7))))&(![X8]: ((~ssItem(X8)|~memberP(X6,X8))|~lt(X8,X4))))))))))|(nil=X&nil=W)))))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.19/0.49 fof(f416,plain,(
% 0.19/0.49 ![W,X,X4]: (pd0_0(X4,X,W)=>(ssItem(X4)&(?[X5]: (ssList(X5)&(?[X6]: (ssList(X6)&(((cons(X4,nil)=W&app(app(X5,W),X6)=X)&(![X7]: ((~ssItem(X7)|~memberP(X5,X7))|~lt(X4,X7))))&(![X8]: ((~ssItem(X8)|~memberP(X6,X8))|~lt(X8,X4))))))))))),
% 0.19/0.49 introduced(predicate_definition,[f415])).
% 0.19/0.49 fof(f417,plain,(
% 0.19/0.49 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(?[Y]: (ssItem(Y)&(?[Z]: (ssItem(Z)&(?[X1]: (ssList(X1)&(?[X2]: (ssList(X2)&(?[X3]: (ssList(X3)&(app(app(app(app(X1,cons(Y,nil)),X2),cons(Z,nil)),X3)=U<(Z,Y)))))))))))))&((?[X4]: pd0_0(X4,X,W))|(nil=X&nil=W))))))))))),
% 0.19/0.49 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.19/0.49 fof(f418,plain,(
% 0.19/0.49 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((sk0_48=sk0_50&sk0_47=sk0_49)&(ssItem(sk0_51)&(ssItem(sk0_52)&(ssList(sk0_53)&(ssList(sk0_54)&(ssList(sk0_55)&(app(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)),sk0_55)=sk0_47<(sk0_52,sk0_51))))))))&(pd0_0(sk0_56,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f417])).
% 0.19/0.49 fof(f420,plain,(
% 0.19/0.49 ssList(sk0_48)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f423,plain,(
% 0.19/0.49 sk0_48=sk0_50),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f424,plain,(
% 0.19/0.49 sk0_47=sk0_49),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f425,plain,(
% 0.19/0.49 ssItem(sk0_51)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f426,plain,(
% 0.19/0.49 ssItem(sk0_52)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f427,plain,(
% 0.19/0.49 ssList(sk0_53)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f428,plain,(
% 0.19/0.49 ssList(sk0_54)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f429,plain,(
% 0.19/0.49 ssList(sk0_55)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f430,plain,(
% 0.19/0.49 app(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)),sk0_55)=sk0_47),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f431,plain,(
% 0.19/0.49 lt(sk0_52,sk0_51)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f433,plain,(
% 0.19/0.49 pd0_0(sk0_56,sk0_50,sk0_49)|nil=sk0_49),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f418])).
% 0.19/0.49 fof(f434,plain,(
% 0.19/0.49 ![W,X,X4]: (~pd0_0(X4,X,W)|(ssItem(X4)&(?[X5]: (ssList(X5)&(?[X6]: (ssList(X6)&(((cons(X4,nil)=W&app(app(X5,W),X6)=X)&(![X7]: ((~ssItem(X7)|~memberP(X5,X7))|~lt(X4,X7))))&(![X8]: ((~ssItem(X8)|~memberP(X6,X8))|~lt(X8,X4))))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.19/0.49 fof(f435,plain,(
% 0.19/0.49 ![W,X,X4]: (~pd0_0(X4,X,W)|(ssItem(X4)&(ssList(sk0_57(X4,X,W))&(ssList(sk0_58(X4,X,W))&(((cons(X4,nil)=W&app(app(sk0_57(X4,X,W),W),sk0_58(X4,X,W))=X)&(![X7]: ((~ssItem(X7)|~memberP(sk0_57(X4,X,W),X7))|~lt(X4,X7))))&(![X8]: ((~ssItem(X8)|~memberP(sk0_58(X4,X,W),X8))|~lt(X8,X4))))))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f434])).
% 0.19/0.49 fof(f436,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f435])).
% 0.19/0.50 fof(f439,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f435])).
% 0.19/0.50 fof(f443,plain,(
% 0.19/0.50 spl0_0 <=> pd0_0(sk0_56,sk0_50,sk0_49)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f444,plain,(
% 0.19/0.50 pd0_0(sk0_56,sk0_50,sk0_49)|~spl0_0),
% 0.19/0.50 inference(component_clause,[status(thm)],[f443])).
% 0.19/0.50 fof(f450,plain,(
% 0.19/0.50 spl0_2 <=> nil=sk0_49),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f451,plain,(
% 0.19/0.50 nil=sk0_49|~spl0_2),
% 0.19/0.50 inference(component_clause,[status(thm)],[f450])).
% 0.19/0.50 fof(f453,plain,(
% 0.19/0.50 spl0_0|spl0_2),
% 0.19/0.50 inference(split_clause,[status(thm)],[f433,f443,f450])).
% 0.19/0.50 fof(f456,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 0.19/0.50 inference(destructive_equality_resolution,[status(esa)],[f112])).
% 0.19/0.50 fof(f486,plain,(
% 0.19/0.50 pd0_0(sk0_56,sk0_48,sk0_49)|~spl0_0),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f423,f444])).
% 0.19/0.50 fof(f487,plain,(
% 0.19/0.50 pd0_0(sk0_56,sk0_48,sk0_47)|~spl0_0),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f424,f486])).
% 0.19/0.50 fof(f488,plain,(
% 0.19/0.50 ssItem(sk0_56)|~spl0_0),
% 0.19/0.50 inference(resolution,[status(thm)],[f436,f487])).
% 0.19/0.50 fof(f489,plain,(
% 0.19/0.50 cons(sk0_56,nil)=sk0_47|~spl0_0),
% 0.19/0.50 inference(resolution,[status(thm)],[f439,f487])).
% 0.19/0.50 fof(f490,plain,(
% 0.19/0.50 spl0_3 <=> ssList(nil)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f492,plain,(
% 0.19/0.50 ~ssList(nil)|spl0_3),
% 0.19/0.50 inference(component_clause,[status(thm)],[f490])).
% 0.19/0.50 fof(f493,plain,(
% 0.19/0.50 spl0_4 <=> ssItem(sk0_56)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f495,plain,(
% 0.19/0.50 ~ssItem(sk0_56)|spl0_4),
% 0.19/0.50 inference(component_clause,[status(thm)],[f493])).
% 0.19/0.50 fof(f496,plain,(
% 0.19/0.50 spl0_5 <=> ssList(sk0_47)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f499,plain,(
% 0.19/0.50 ~ssList(nil)|~ssItem(sk0_56)|ssList(sk0_47)|~spl0_0),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f489,f222])).
% 0.19/0.50 fof(f500,plain,(
% 0.19/0.50 ~spl0_3|~spl0_4|spl0_5|~spl0_0),
% 0.19/0.50 inference(split_clause,[status(thm)],[f499,f490,f493,f496,f443])).
% 0.19/0.50 fof(f506,plain,(
% 0.19/0.50 $false|spl0_3),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f492,f223])).
% 0.19/0.50 fof(f507,plain,(
% 0.19/0.50 spl0_3),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f506])).
% 0.19/0.50 fof(f509,plain,(
% 0.19/0.50 nil=sk0_47|~spl0_2),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f424,f451])).
% 0.19/0.50 fof(f528,plain,(
% 0.19/0.50 spl0_9 <=> ssList(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f530,plain,(
% 0.19/0.50 ~ssList(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)))|spl0_9),
% 0.19/0.50 inference(component_clause,[status(thm)],[f528])).
% 0.19/0.50 fof(f531,plain,(
% 0.19/0.50 spl0_10 <=> ssList(sk0_55)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f533,plain,(
% 0.19/0.50 ~ssList(sk0_55)|spl0_10),
% 0.19/0.50 inference(component_clause,[status(thm)],[f531])).
% 0.19/0.50 fof(f537,plain,(
% 0.19/0.50 $false|spl0_4|~spl0_0),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f488,f495])).
% 0.19/0.50 fof(f538,plain,(
% 0.19/0.50 spl0_4|~spl0_0),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f537])).
% 0.19/0.50 fof(f549,plain,(
% 0.19/0.50 spl0_12 <=> ~ssItem(X1)|~ssItem(X1)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f550,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_12)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f549])).
% 0.19/0.50 fof(f554,plain,(
% 0.19/0.50 spl0_13 <=> ssItem(sk0_51)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f556,plain,(
% 0.19/0.50 ~ssItem(sk0_51)|spl0_13),
% 0.19/0.50 inference(component_clause,[status(thm)],[f554])).
% 0.19/0.50 fof(f557,plain,(
% 0.19/0.50 spl0_14 <=> ssItem(sk0_52)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f559,plain,(
% 0.19/0.50 ~ssItem(sk0_52)|spl0_14),
% 0.19/0.50 inference(component_clause,[status(thm)],[f557])).
% 0.19/0.50 fof(f581,plain,(
% 0.19/0.50 $false|spl0_14),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f559,f426])).
% 0.19/0.50 fof(f582,plain,(
% 0.19/0.50 spl0_14),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f581])).
% 0.19/0.50 fof(f583,plain,(
% 0.19/0.50 $false|spl0_13),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f556,f425])).
% 0.19/0.50 fof(f584,plain,(
% 0.19/0.50 spl0_13),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f583])).
% 0.19/0.50 fof(f585,plain,(
% 0.19/0.50 $false|spl0_10),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f533,f429])).
% 0.19/0.50 fof(f586,plain,(
% 0.19/0.50 spl0_10),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f585])).
% 0.19/0.50 fof(f614,plain,(
% 0.19/0.50 spl0_21 <=> ~ssList(X1)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f615,plain,(
% 0.19/0.50 ![X0]: (~ssList(X0)|~spl0_21)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f614])).
% 0.19/0.50 fof(f685,plain,(
% 0.19/0.50 spl0_33 <=> ssList(app(app(sk0_53,cons(sk0_51,nil)),sk0_54))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f687,plain,(
% 0.19/0.50 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),sk0_54))|spl0_33),
% 0.19/0.50 inference(component_clause,[status(thm)],[f685])).
% 0.19/0.50 fof(f688,plain,(
% 0.19/0.50 spl0_34 <=> ssList(cons(sk0_52,nil))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f690,plain,(
% 0.19/0.50 ~ssList(cons(sk0_52,nil))|spl0_34),
% 0.19/0.50 inference(component_clause,[status(thm)],[f688])).
% 0.19/0.50 fof(f691,plain,(
% 0.19/0.50 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),sk0_54))|~ssList(cons(sk0_52,nil))|spl0_9),
% 0.19/0.50 inference(resolution,[status(thm)],[f530,f245])).
% 0.19/0.50 fof(f692,plain,(
% 0.19/0.50 ~spl0_33|~spl0_34|spl0_9),
% 0.19/0.50 inference(split_clause,[status(thm)],[f691,f685,f688,f528])).
% 0.19/0.50 fof(f693,plain,(
% 0.19/0.50 spl0_35 <=> ssList(app(sk0_53,cons(sk0_51,nil)))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f695,plain,(
% 0.19/0.50 ~ssList(app(sk0_53,cons(sk0_51,nil)))|spl0_35),
% 0.19/0.50 inference(component_clause,[status(thm)],[f693])).
% 0.19/0.50 fof(f696,plain,(
% 0.19/0.50 spl0_36 <=> ssList(sk0_54)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f698,plain,(
% 0.19/0.50 ~ssList(sk0_54)|spl0_36),
% 0.19/0.50 inference(component_clause,[status(thm)],[f696])).
% 0.19/0.50 fof(f699,plain,(
% 0.19/0.50 ~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(sk0_54)|spl0_33),
% 0.19/0.50 inference(resolution,[status(thm)],[f687,f245])).
% 0.19/0.50 fof(f700,plain,(
% 0.19/0.50 ~spl0_35|~spl0_36|spl0_33),
% 0.19/0.50 inference(split_clause,[status(thm)],[f699,f693,f696,f685])).
% 0.19/0.50 fof(f701,plain,(
% 0.19/0.50 $false|spl0_36),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f698,f428])).
% 0.19/0.50 fof(f702,plain,(
% 0.19/0.50 spl0_36),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f701])).
% 0.19/0.50 fof(f703,plain,(
% 0.19/0.50 ~ssList(nil)|~ssItem(sk0_52)|spl0_34),
% 0.19/0.50 inference(resolution,[status(thm)],[f690,f222])).
% 0.19/0.50 fof(f704,plain,(
% 0.19/0.50 ~spl0_3|~spl0_14|spl0_34),
% 0.19/0.50 inference(split_clause,[status(thm)],[f703,f490,f557,f688])).
% 0.19/0.50 fof(f773,plain,(
% 0.19/0.50 spl0_49 <=> ssList(sk0_53)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f775,plain,(
% 0.19/0.50 ~ssList(sk0_53)|spl0_49),
% 0.19/0.50 inference(component_clause,[status(thm)],[f773])).
% 0.19/0.50 fof(f776,plain,(
% 0.19/0.50 spl0_50 <=> ssList(cons(sk0_51,nil))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f778,plain,(
% 0.19/0.50 ~ssList(cons(sk0_51,nil))|spl0_50),
% 0.19/0.50 inference(component_clause,[status(thm)],[f776])).
% 0.19/0.50 fof(f779,plain,(
% 0.19/0.50 ~ssList(sk0_53)|~ssList(cons(sk0_51,nil))|spl0_35),
% 0.19/0.50 inference(resolution,[status(thm)],[f695,f245])).
% 0.19/0.50 fof(f780,plain,(
% 0.19/0.50 ~spl0_49|~spl0_50|spl0_35),
% 0.19/0.50 inference(split_clause,[status(thm)],[f779,f773,f776,f693])).
% 0.19/0.50 fof(f781,plain,(
% 0.19/0.50 $false|spl0_49),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f775,f427])).
% 0.19/0.50 fof(f782,plain,(
% 0.19/0.50 spl0_49),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f781])).
% 0.19/0.50 fof(f783,plain,(
% 0.19/0.50 ~ssList(nil)|~ssItem(sk0_51)|spl0_50),
% 0.19/0.50 inference(resolution,[status(thm)],[f778,f222])).
% 0.19/0.50 fof(f784,plain,(
% 0.19/0.50 ~spl0_3|~spl0_13|spl0_50),
% 0.19/0.50 inference(split_clause,[status(thm)],[f783,f490,f554,f776])).
% 0.19/0.50 fof(f815,plain,(
% 0.19/0.50 spl0_56 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)),X0)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f816,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)),X0)|~spl0_56)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f815])).
% 0.19/0.50 fof(f818,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~ssList(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)))|~ssList(sk0_55)|memberP(sk0_47,X0)|~memberP(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)),X0))),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f430,f271])).
% 0.19/0.50 fof(f819,plain,(
% 0.19/0.50 spl0_56|~spl0_9|~spl0_10),
% 0.19/0.50 inference(split_clause,[status(thm)],[f818,f815,f528,f531])).
% 0.19/0.50 fof(f856,plain,(
% 0.19/0.50 spl0_60 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_56|memberP(nil,X0)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f857,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_56|memberP(nil,X0)|~spl0_60)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f856])).
% 0.19/0.50 fof(f859,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~ssItem(sk0_56)|~ssList(nil)|~memberP(sk0_47,X0)|X0=sk0_56|memberP(nil,X0)|~spl0_0)),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f489,f275])).
% 0.19/0.50 fof(f860,plain,(
% 0.19/0.50 spl0_60|~spl0_4|~spl0_3|~spl0_0),
% 0.19/0.50 inference(split_clause,[status(thm)],[f859,f856,f493,f490,f443])).
% 0.19/0.50 fof(f861,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_56|~spl0_60)),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f857,f279])).
% 0.19/0.50 fof(f879,plain,(
% 0.19/0.50 spl0_63 <=> sk0_47=app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),app(cons(sk0_52,nil),sk0_55))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f880,plain,(
% 0.19/0.50 sk0_47=app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),app(cons(sk0_52,nil),sk0_55))|~spl0_63),
% 0.19/0.50 inference(component_clause,[status(thm)],[f879])).
% 0.19/0.50 fof(f882,plain,(
% 0.19/0.50 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),sk0_54))|~ssList(cons(sk0_52,nil))|~ssList(sk0_55)|sk0_47=app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),app(cons(sk0_52,nil),sk0_55))),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f430,f382])).
% 0.19/0.50 fof(f883,plain,(
% 0.19/0.50 ~spl0_33|~spl0_34|~spl0_10|spl0_63),
% 0.19/0.50 inference(split_clause,[status(thm)],[f882,f685,f688,f531,f879])).
% 0.19/0.50 fof(f953,plain,(
% 0.19/0.50 spl0_74 <=> memberP(sk0_47,sk0_52)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f954,plain,(
% 0.19/0.50 memberP(sk0_47,sk0_52)|~spl0_74),
% 0.19/0.50 inference(component_clause,[status(thm)],[f953])).
% 0.19/0.50 fof(f956,plain,(
% 0.19/0.50 ~ssItem(sk0_52)|memberP(sk0_47,sk0_52)|~ssList(app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),cons(sk0_52,nil)))|~ssItem(sk0_52)|~ssList(app(app(sk0_53,cons(sk0_51,nil)),sk0_54))|~ssList(nil)|~spl0_56),
% 0.19/0.50 inference(resolution,[status(thm)],[f816,f456])).
% 0.19/0.50 fof(f957,plain,(
% 0.19/0.50 ~spl0_14|spl0_74|~spl0_9|~spl0_33|~spl0_3|~spl0_56),
% 0.19/0.50 inference(split_clause,[status(thm)],[f956,f557,f953,f528,f685,f490,f815])).
% 0.19/0.50 fof(f976,plain,(
% 0.19/0.50 spl0_77 <=> sk0_52=sk0_56),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f977,plain,(
% 0.19/0.50 sk0_52=sk0_56|~spl0_77),
% 0.19/0.50 inference(component_clause,[status(thm)],[f976])).
% 0.19/0.50 fof(f979,plain,(
% 0.19/0.50 ~ssItem(sk0_52)|sk0_52=sk0_56|~spl0_60|~spl0_74),
% 0.19/0.50 inference(resolution,[status(thm)],[f861,f954])).
% 0.19/0.50 fof(f980,plain,(
% 0.19/0.50 ~spl0_14|spl0_77|~spl0_60|~spl0_74),
% 0.19/0.50 inference(split_clause,[status(thm)],[f979,f557,f976,f856,f953])).
% 0.19/0.50 fof(f1001,plain,(
% 0.19/0.50 memberP(nil,sk0_52)|~spl0_2|~spl0_74),
% 0.19/0.50 inference(backward_demodulation,[status(thm)],[f509,f954])).
% 0.19/0.50 fof(f1007,plain,(
% 0.19/0.50 ~ssItem(sk0_52)|~spl0_2|~spl0_74),
% 0.19/0.50 inference(resolution,[status(thm)],[f1001,f279])).
% 0.19/0.50 fof(f1008,plain,(
% 0.19/0.50 ~spl0_14|~spl0_2|~spl0_74),
% 0.19/0.50 inference(split_clause,[status(thm)],[f1007,f557,f450,f953])).
% 0.19/0.50 fof(f1153,plain,(
% 0.19/0.50 cons(sk0_52,nil)=sk0_47|~spl0_77|~spl0_0),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f977,f489])).
% 0.19/0.50 fof(f1225,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|~spl0_77|~spl0_60)),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f977,f861])).
% 0.19/0.50 fof(f1325,plain,(
% 0.19/0.50 sk0_47=app(app(app(sk0_53,cons(sk0_51,nil)),sk0_54),app(sk0_47,sk0_55))|~spl0_77|~spl0_0|~spl0_63),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f1153,f880])).
% 0.19/0.50 fof(f1326,plain,(
% 0.19/0.50 spl0_114 <=> ssList(app(sk0_47,sk0_55))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f1328,plain,(
% 0.19/0.50 ~ssList(app(sk0_47,sk0_55))|spl0_114),
% 0.19/0.50 inference(component_clause,[status(thm)],[f1326])).
% 0.19/0.50 fof(f1329,plain,(
% 0.19/0.50 spl0_115 <=> sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(sk0_54,app(sk0_47,sk0_55)))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f1330,plain,(
% 0.19/0.50 sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(sk0_54,app(sk0_47,sk0_55)))|~spl0_115),
% 0.19/0.50 inference(component_clause,[status(thm)],[f1329])).
% 0.19/0.50 fof(f1332,plain,(
% 0.19/0.50 ~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(sk0_54)|~ssList(app(sk0_47,sk0_55))|sk0_47=app(app(sk0_53,cons(sk0_51,nil)),app(sk0_54,app(sk0_47,sk0_55)))|~spl0_77|~spl0_0|~spl0_63),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f1325,f382])).
% 0.19/0.50 fof(f1333,plain,(
% 0.19/0.50 ~spl0_35|~spl0_36|~spl0_114|spl0_115|~spl0_77|~spl0_0|~spl0_63),
% 0.19/0.50 inference(split_clause,[status(thm)],[f1332,f693,f696,f1326,f1329,f976,f443,f879])).
% 0.19/0.50 fof(f1657,plain,(
% 0.19/0.50 ~ssList(sk0_47)|~ssList(sk0_55)|spl0_114),
% 0.19/0.50 inference(resolution,[status(thm)],[f1328,f245])).
% 0.19/0.50 fof(f1658,plain,(
% 0.19/0.50 ~spl0_5|~spl0_10|spl0_114),
% 0.19/0.50 inference(split_clause,[status(thm)],[f1657,f496,f531,f1326])).
% 0.19/0.50 fof(f1702,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~spl0_12)),
% 0.19/0.50 inference(duplicate_literals_removal,[status(esa)],[f550])).
% 0.19/0.50 fof(f1743,plain,(
% 0.19/0.50 $false|~spl0_12),
% 0.19/0.50 inference(backward_subsumption_resolution,[status(thm)],[f104,f1702])).
% 0.19/0.50 fof(f1744,plain,(
% 0.19/0.50 ~spl0_12),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f1743])).
% 0.19/0.50 fof(f1745,plain,(
% 0.19/0.50 $false|~spl0_21),
% 0.19/0.50 inference(backward_subsumption_resolution,[status(thm)],[f420,f615])).
% 0.19/0.50 fof(f1746,plain,(
% 0.19/0.50 ~spl0_21),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f1745])).
% 0.19/0.50 fof(f2371,plain,(
% 0.19/0.50 spl0_249 <=> ssList(app(sk0_54,app(sk0_47,sk0_55)))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f2373,plain,(
% 0.19/0.50 ~ssList(app(sk0_54,app(sk0_47,sk0_55)))|spl0_249),
% 0.19/0.50 inference(component_clause,[status(thm)],[f2371])).
% 0.19/0.50 fof(f2384,plain,(
% 0.19/0.50 spl0_252 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f2385,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)|~spl0_252)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f2384])).
% 0.19/0.50 fof(f2387,plain,(
% 0.19/0.50 ![X0]: (~ssItem(X0)|~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(app(sk0_54,app(sk0_47,sk0_55)))|memberP(sk0_47,X0)|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)|~spl0_115)),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f1330,f271])).
% 0.19/0.50 fof(f2388,plain,(
% 0.19/0.50 spl0_252|~spl0_35|~spl0_249|~spl0_115),
% 0.19/0.50 inference(split_clause,[status(thm)],[f2387,f2384,f693,f2371,f1329])).
% 0.19/0.50 fof(f2442,plain,(
% 0.19/0.50 ~ssList(sk0_54)|~ssList(app(sk0_47,sk0_55))|spl0_249),
% 0.19/0.50 inference(resolution,[status(thm)],[f2373,f245])).
% 0.19/0.50 fof(f2443,plain,(
% 0.19/0.50 ~spl0_36|~spl0_114|spl0_249),
% 0.19/0.50 inference(split_clause,[status(thm)],[f2442,f696,f1326,f2371])).
% 0.19/0.50 fof(f2444,plain,(
% 0.19/0.50 spl0_262 <=> memberP(sk0_47,sk0_51)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f2445,plain,(
% 0.19/0.50 memberP(sk0_47,sk0_51)|~spl0_262),
% 0.19/0.50 inference(component_clause,[status(thm)],[f2444])).
% 0.19/0.51 fof(f2447,plain,(
% 0.19/0.51 ~ssItem(sk0_51)|memberP(sk0_47,sk0_51)|~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssItem(sk0_51)|~ssList(sk0_53)|~ssList(nil)|~spl0_252),
% 0.19/0.51 inference(resolution,[status(thm)],[f2385,f456])).
% 0.19/0.51 fof(f2448,plain,(
% 0.19/0.51 ~spl0_13|spl0_262|~spl0_35|~spl0_49|~spl0_3|~spl0_252),
% 0.19/0.51 inference(split_clause,[status(thm)],[f2447,f554,f2444,f693,f773,f490,f2384])).
% 0.19/0.51 fof(f2461,plain,(
% 0.19/0.51 spl0_265 <=> sk0_51=sk0_52),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f2462,plain,(
% 0.19/0.51 sk0_51=sk0_52|~spl0_265),
% 0.19/0.51 inference(component_clause,[status(thm)],[f2461])).
% 0.19/0.51 fof(f2464,plain,(
% 0.19/0.51 ~ssItem(sk0_51)|sk0_51=sk0_52|~spl0_262|~spl0_77|~spl0_60),
% 0.19/0.51 inference(resolution,[status(thm)],[f2445,f1225])).
% 0.19/0.51 fof(f2465,plain,(
% 0.19/0.51 ~spl0_13|spl0_265|~spl0_262|~spl0_77|~spl0_60),
% 0.19/0.51 inference(split_clause,[status(thm)],[f2464,f554,f2461,f2444,f976,f856])).
% 0.19/0.51 fof(f2483,plain,(
% 0.19/0.51 lt(sk0_51,sk0_51)|~spl0_265),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f2462,f431])).
% 0.19/0.51 fof(f2498,plain,(
% 0.19/0.51 ~ssItem(sk0_51)|~spl0_265),
% 0.19/0.51 inference(resolution,[status(thm)],[f2483,f401])).
% 0.19/0.51 fof(f2499,plain,(
% 0.19/0.51 ~spl0_13|~spl0_265),
% 0.19/0.51 inference(split_clause,[status(thm)],[f2498,f554,f2461])).
% 0.19/0.51 fof(f2500,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(sat_refutation,[status(thm)],[f453,f500,f507,f538,f582,f584,f586,f692,f700,f702,f704,f780,f782,f784,f819,f860,f883,f957,f980,f1008,f1333,f1658,f1744,f1746,f2388,f2443,f2448,f2465,f2499])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51 % Elapsed time: 0.169351 seconds
% 0.19/0.51 % CPU time: 1.179640 seconds
% 0.19/0.51 % Memory used: 72.885 MB
%------------------------------------------------------------------------------