TSTP Solution File: SWC192+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC192+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:39:38 EDT 2023
% Result : Theorem 2.63s 0.78s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SWC192+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:36:06 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 2.63/0.78 % Refutation found
% 2.63/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.63/0.78 % SZS output start CNFRefutation for theBenchmark
% 2.63/0.78 fof(f3,axiom,(
% 2.63/0.78 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f16,axiom,(
% 2.63/0.78 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f17,axiom,(
% 2.63/0.78 ssList(nil) ),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f21,axiom,(
% 2.63/0.78 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f26,axiom,(
% 2.63/0.78 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f36,axiom,(
% 2.63/0.78 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f37,axiom,(
% 2.63/0.78 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssList(W)=> ( memberP(cons(V,W),U)<=> ( U = V| memberP(W,U) ) ) ) )) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f38,axiom,(
% 2.63/0.78 (! [U] :( ssItem(U)=> ~ memberP(nil,U) ) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f83,axiom,(
% 2.63/0.78 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f96,conjecture,(
% 2.63/0.78 (! [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)=> ( app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) != U| Y = Z ) ) )) )) )))| ( (! [X3] :( ssItem(X3)=> ( cons(X3,nil) != W| ~ memberP(X,X3) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 2.63/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.63/0.78 fof(f97,negated_conjecture,(
% 2.63/0.78 ~((! [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)=> ( app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) != U| Y = Z ) ) )) )) )))| ( (! [X3] :( ssItem(X3)=> ( cons(X3,nil) != W| ~ memberP(X,X3) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 2.63/0.78 inference(negated_conjecture,[status(cth)],[f96])).
% 2.63/0.78 fof(f106,plain,(
% 2.63/0.78 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 2.63/0.78 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.63/0.78 fof(f107,plain,(
% 2.63/0.78 ![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)))))))))),
% 2.63/0.78 inference(NNF_transformation,[status(esa)],[f106])).
% 2.63/0.78 fof(f108,plain,(
% 2.63/0.78 ![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)))))))))),
% 2.63/0.78 inference(skolemization,[status(esa)],[f107])).
% 2.63/0.78 fof(f112,plain,(
% 2.63/0.78 ![X0,X1,X2,X3]: (~ssList(X0)|~ssItem(X1)|memberP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(X2,cons(X1,X3))=X0)),
% 2.63/0.78 inference(cnf_transformation,[status(esa)],[f108])).
% 2.63/0.78 fof(f221,plain,(
% 2.63/0.78 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 2.63/0.78 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.63/0.78 fof(f222,plain,(
% 2.63/0.78 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 2.63/0.78 inference(cnf_transformation,[status(esa)],[f221])).
% 2.63/0.78 fof(f223,plain,(
% 2.63/0.78 ssList(nil)),
% 2.63/0.78 inference(cnf_transformation,[status(esa)],[f17])).
% 2.63/0.78 fof(f234,plain,(
% 2.63/0.78 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 2.63/0.78 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 2.63/0.78 fof(f235,plain,(
% 2.63/0.78 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 2.63/0.78 inference(cnf_transformation,[status(esa)],[f234])).
% 2.63/0.79 fof(f244,plain,(
% 2.63/0.79 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 2.63/0.79 fof(f245,plain,(
% 2.63/0.79 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f244])).
% 2.63/0.79 fof(f268,plain,(
% 2.63/0.79 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 2.63/0.79 fof(f269,plain,(
% 2.63/0.79 ![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)))))))))),
% 2.63/0.79 inference(NNF_transformation,[status(esa)],[f268])).
% 2.63/0.79 fof(f271,plain,(
% 2.63/0.79 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f269])).
% 2.63/0.79 fof(f273,plain,(
% 2.63/0.79 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssList(W)|(memberP(cons(V,W),U)<=>(U=V|memberP(W,U))))))))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 2.63/0.79 fof(f274,plain,(
% 2.63/0.79 ![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)))))))))),
% 2.63/0.79 inference(NNF_transformation,[status(esa)],[f273])).
% 2.63/0.79 fof(f275,plain,(
% 2.63/0.79 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~memberP(cons(X1,X2),X0)|X0=X1|memberP(X2,X0))),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f274])).
% 2.63/0.79 fof(f278,plain,(
% 2.63/0.79 ![U]: (~ssItem(U)|~memberP(nil,U))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 2.63/0.79 fof(f279,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|~memberP(nil,X0))),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f278])).
% 2.63/0.79 fof(f383,plain,(
% 2.63/0.79 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 2.63/0.79 fof(f384,plain,(
% 2.63/0.79 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 2.63/0.79 inference(NNF_transformation,[status(esa)],[f383])).
% 2.63/0.79 fof(f385,plain,(
% 2.63/0.79 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f384])).
% 2.63/0.79 fof(f386,plain,(
% 2.63/0.79 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f384])).
% 2.63/0.79 fof(f415,plain,(
% 2.63/0.79 (?[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)&(app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2)=U&~Y=Z))))))))))&((?[X3]: (ssItem(X3)&(cons(X3,nil)=W&memberP(X,X3))))|(nil=X&nil=W)))))))))))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 2.63/0.79 fof(f416,plain,(
% 2.63/0.79 ![W,X,X3]: (pd0_0(X3,X,W)=>(ssItem(X3)&(cons(X3,nil)=W&memberP(X,X3))))),
% 2.63/0.79 introduced(predicate_definition,[f415])).
% 2.63/0.79 fof(f417,plain,(
% 2.63/0.79 ?[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)&(app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2)=U&~Y=Z))))))))))&((?[X3]: pd0_0(X3,X,W))|(nil=X&nil=W))))))))))),
% 2.63/0.79 inference(formula_renaming,[status(thm)],[f415,f416])).
% 2.63/0.79 fof(f418,plain,(
% 2.63/0.79 (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)&(app(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),sk0_54)=sk0_47&~sk0_51=sk0_52))))))&(pd0_0(sk0_55,sk0_50,sk0_49)|(nil=sk0_50&nil=sk0_49)))))))),
% 2.63/0.79 inference(skolemization,[status(esa)],[f417])).
% 2.63/0.79 fof(f423,plain,(
% 2.63/0.79 sk0_48=sk0_50),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f424,plain,(
% 2.63/0.79 sk0_47=sk0_49),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f425,plain,(
% 2.63/0.79 ssItem(sk0_51)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f426,plain,(
% 2.63/0.79 ssItem(sk0_52)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f427,plain,(
% 2.63/0.79 ssList(sk0_53)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f428,plain,(
% 2.63/0.79 ssList(sk0_54)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f429,plain,(
% 2.63/0.79 app(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),sk0_54)=sk0_47),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f430,plain,(
% 2.63/0.79 ~sk0_51=sk0_52),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f432,plain,(
% 2.63/0.79 pd0_0(sk0_55,sk0_50,sk0_49)|nil=sk0_49),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f418])).
% 2.63/0.79 fof(f433,plain,(
% 2.63/0.79 ![W,X,X3]: (~pd0_0(X3,X,W)|(ssItem(X3)&(cons(X3,nil)=W&memberP(X,X3))))),
% 2.63/0.79 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 2.63/0.79 fof(f434,plain,(
% 2.63/0.79 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f433])).
% 2.63/0.79 fof(f435,plain,(
% 2.63/0.79 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|cons(X0,nil)=X2)),
% 2.63/0.79 inference(cnf_transformation,[status(esa)],[f433])).
% 2.63/0.79 fof(f437,plain,(
% 2.63/0.79 spl0_0 <=> pd0_0(sk0_55,sk0_50,sk0_49)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f438,plain,(
% 2.63/0.79 pd0_0(sk0_55,sk0_50,sk0_49)|~spl0_0),
% 2.63/0.79 inference(component_clause,[status(thm)],[f437])).
% 2.63/0.79 fof(f444,plain,(
% 2.63/0.79 spl0_2 <=> nil=sk0_49),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f445,plain,(
% 2.63/0.79 nil=sk0_49|~spl0_2),
% 2.63/0.79 inference(component_clause,[status(thm)],[f444])).
% 2.63/0.79 fof(f447,plain,(
% 2.63/0.79 spl0_0|spl0_2),
% 2.63/0.79 inference(split_clause,[status(thm)],[f432,f437,f444])).
% 2.63/0.79 fof(f462,plain,(
% 2.63/0.79 pd0_0(sk0_55,sk0_48,sk0_49)|~spl0_0),
% 2.63/0.79 inference(forward_demodulation,[status(thm)],[f423,f438])).
% 2.63/0.79 fof(f463,plain,(
% 2.63/0.79 pd0_0(sk0_55,sk0_48,sk0_47)|~spl0_0),
% 2.63/0.79 inference(forward_demodulation,[status(thm)],[f424,f462])).
% 2.63/0.79 fof(f469,plain,(
% 2.63/0.79 spl0_4 <=> ssList(nil)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f471,plain,(
% 2.63/0.79 ~ssList(nil)|spl0_4),
% 2.63/0.79 inference(component_clause,[status(thm)],[f469])).
% 2.63/0.79 fof(f476,plain,(
% 2.63/0.79 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssItem(X1)|memberP(app(X0,cons(X1,X2)),X1)|~ssList(X0)|~ssList(X2))),
% 2.63/0.79 inference(equality_resolution,[status(esa)],[f112])).
% 2.63/0.79 fof(f477,plain,(
% 2.63/0.79 $false|spl0_4),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f471,f223])).
% 2.63/0.79 fof(f478,plain,(
% 2.63/0.79 spl0_4),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f477])).
% 2.63/0.79 fof(f481,plain,(
% 2.63/0.79 ssItem(sk0_55)|~spl0_0),
% 2.63/0.79 inference(resolution,[status(thm)],[f463,f434])).
% 2.63/0.79 fof(f482,plain,(
% 2.63/0.79 cons(sk0_55,nil)=sk0_47|~spl0_0),
% 2.63/0.79 inference(resolution,[status(thm)],[f435,f463])).
% 2.63/0.79 fof(f483,plain,(
% 2.63/0.79 spl0_5 <=> ssItem(sk0_55)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f485,plain,(
% 2.63/0.79 ~ssItem(sk0_55)|spl0_5),
% 2.63/0.79 inference(component_clause,[status(thm)],[f483])).
% 2.63/0.79 fof(f496,plain,(
% 2.63/0.79 spl0_8 <=> sk0_47=nil),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f498,plain,(
% 2.63/0.79 ~sk0_47=nil|spl0_8),
% 2.63/0.79 inference(component_clause,[status(thm)],[f496])).
% 2.63/0.79 fof(f501,plain,(
% 2.63/0.79 $false|~spl0_0|spl0_5),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f485,f481])).
% 2.63/0.79 fof(f502,plain,(
% 2.63/0.79 ~spl0_0|spl0_5),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f501])).
% 2.63/0.79 fof(f506,plain,(
% 2.63/0.79 sk0_47=nil|~spl0_2),
% 2.63/0.79 inference(backward_demodulation,[status(thm)],[f445,f424])).
% 2.63/0.79 fof(f512,plain,(
% 2.63/0.79 spl0_9 <=> ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)))),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f514,plain,(
% 2.63/0.79 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)))|spl0_9),
% 2.63/0.79 inference(component_clause,[status(thm)],[f512])).
% 2.63/0.79 fof(f515,plain,(
% 2.63/0.79 spl0_10 <=> ssList(sk0_54)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f517,plain,(
% 2.63/0.79 ~ssList(sk0_54)|spl0_10),
% 2.63/0.79 inference(component_clause,[status(thm)],[f515])).
% 2.63/0.79 fof(f559,plain,(
% 2.63/0.79 spl0_14 <=> nil=app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil))),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f560,plain,(
% 2.63/0.79 nil=app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil))|~spl0_14),
% 2.63/0.79 inference(component_clause,[status(thm)],[f559])).
% 2.63/0.79 fof(f562,plain,(
% 2.63/0.79 ~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)))|~ssList(sk0_54)|~nil=sk0_47|nil=app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil))),
% 2.63/0.79 inference(paramodulation,[status(thm)],[f429,f386])).
% 2.63/0.79 fof(f563,plain,(
% 2.63/0.79 ~spl0_9|~spl0_10|~spl0_8|spl0_14),
% 2.63/0.79 inference(split_clause,[status(thm)],[f562,f512,f515,f496,f559])).
% 2.63/0.79 fof(f622,plain,(
% 2.63/0.79 $false|spl0_10),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f517,f428])).
% 2.63/0.79 fof(f623,plain,(
% 2.63/0.79 spl0_10),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f622])).
% 2.63/0.79 fof(f708,plain,(
% 2.63/0.79 spl0_31 <=> ssList(app(sk0_53,cons(sk0_51,nil)))),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f710,plain,(
% 2.63/0.79 ~ssList(app(sk0_53,cons(sk0_51,nil)))|spl0_31),
% 2.63/0.79 inference(component_clause,[status(thm)],[f708])).
% 2.63/0.79 fof(f711,plain,(
% 2.63/0.79 spl0_32 <=> ssList(cons(sk0_52,nil))),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f713,plain,(
% 2.63/0.79 ~ssList(cons(sk0_52,nil))|spl0_32),
% 2.63/0.79 inference(component_clause,[status(thm)],[f711])).
% 2.63/0.79 fof(f714,plain,(
% 2.63/0.79 ~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(cons(sk0_52,nil))|spl0_9),
% 2.63/0.79 inference(resolution,[status(thm)],[f514,f245])).
% 2.63/0.79 fof(f715,plain,(
% 2.63/0.79 ~spl0_31|~spl0_32|spl0_9),
% 2.63/0.79 inference(split_clause,[status(thm)],[f714,f708,f711,f512])).
% 2.63/0.79 fof(f777,plain,(
% 2.63/0.79 spl0_40 <=> ssList(sk0_53)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f779,plain,(
% 2.63/0.79 ~ssList(sk0_53)|spl0_40),
% 2.63/0.79 inference(component_clause,[status(thm)],[f777])).
% 2.63/0.79 fof(f780,plain,(
% 2.63/0.79 spl0_41 <=> ssList(cons(sk0_51,nil))),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f782,plain,(
% 2.63/0.79 ~ssList(cons(sk0_51,nil))|spl0_41),
% 2.63/0.79 inference(component_clause,[status(thm)],[f780])).
% 2.63/0.79 fof(f783,plain,(
% 2.63/0.79 ~ssList(sk0_53)|~ssList(cons(sk0_51,nil))|spl0_31),
% 2.63/0.79 inference(resolution,[status(thm)],[f245,f710])).
% 2.63/0.79 fof(f784,plain,(
% 2.63/0.79 ~spl0_40|~spl0_41|spl0_31),
% 2.63/0.79 inference(split_clause,[status(thm)],[f783,f777,f780,f708])).
% 2.63/0.79 fof(f832,plain,(
% 2.63/0.79 spl0_43 <=> ssItem(sk0_52)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f834,plain,(
% 2.63/0.79 ~ssItem(sk0_52)|spl0_43),
% 2.63/0.79 inference(component_clause,[status(thm)],[f832])).
% 2.63/0.79 fof(f835,plain,(
% 2.63/0.79 ~ssList(nil)|~ssItem(sk0_52)|spl0_32),
% 2.63/0.79 inference(resolution,[status(thm)],[f713,f222])).
% 2.63/0.79 fof(f836,plain,(
% 2.63/0.79 ~spl0_4|~spl0_43|spl0_32),
% 2.63/0.79 inference(split_clause,[status(thm)],[f835,f469,f832,f711])).
% 2.63/0.79 fof(f837,plain,(
% 2.63/0.79 $false|spl0_43),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f834,f426])).
% 2.63/0.79 fof(f838,plain,(
% 2.63/0.79 spl0_43),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f837])).
% 2.63/0.79 fof(f839,plain,(
% 2.63/0.79 $false|spl0_40),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f779,f427])).
% 2.63/0.79 fof(f840,plain,(
% 2.63/0.79 spl0_40),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f839])).
% 2.63/0.79 fof(f843,plain,(
% 2.63/0.79 ~nil=nil|~spl0_2|spl0_8),
% 2.63/0.79 inference(forward_demodulation,[status(thm)],[f506,f498])).
% 2.63/0.79 fof(f844,plain,(
% 2.63/0.79 $false|~spl0_2|spl0_8),
% 2.63/0.79 inference(trivial_equality_resolution,[status(esa)],[f843])).
% 2.63/0.79 fof(f845,plain,(
% 2.63/0.79 ~spl0_2|spl0_8),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f844])).
% 2.63/0.79 fof(f851,plain,(
% 2.63/0.79 spl0_44 <=> ssItem(sk0_51)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f853,plain,(
% 2.63/0.79 ~ssItem(sk0_51)|spl0_44),
% 2.63/0.79 inference(component_clause,[status(thm)],[f851])).
% 2.63/0.79 fof(f854,plain,(
% 2.63/0.79 ~ssList(nil)|~ssItem(sk0_51)|spl0_41),
% 2.63/0.79 inference(resolution,[status(thm)],[f782,f222])).
% 2.63/0.79 fof(f855,plain,(
% 2.63/0.79 ~spl0_4|~spl0_44|spl0_41),
% 2.63/0.79 inference(split_clause,[status(thm)],[f854,f469,f851,f780])).
% 2.63/0.79 fof(f856,plain,(
% 2.63/0.79 $false|spl0_44),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f853,f425])).
% 2.63/0.79 fof(f857,plain,(
% 2.63/0.79 spl0_44),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f856])).
% 2.63/0.79 fof(f901,plain,(
% 2.63/0.79 spl0_48 <=> nil=cons(sk0_52,nil)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f902,plain,(
% 2.63/0.79 nil=cons(sk0_52,nil)|~spl0_48),
% 2.63/0.79 inference(component_clause,[status(thm)],[f901])).
% 2.63/0.79 fof(f904,plain,(
% 2.63/0.79 ~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(cons(sk0_52,nil))|nil=cons(sk0_52,nil)|~spl0_14),
% 2.63/0.79 inference(resolution,[status(thm)],[f560,f385])).
% 2.63/0.79 fof(f905,plain,(
% 2.63/0.79 ~spl0_31|~spl0_32|spl0_48|~spl0_14),
% 2.63/0.79 inference(split_clause,[status(thm)],[f904,f708,f711,f901,f559])).
% 2.63/0.79 fof(f932,plain,(
% 2.63/0.79 ~ssList(nil)|~ssItem(sk0_52)|~spl0_48),
% 2.63/0.79 inference(resolution,[status(thm)],[f902,f235])).
% 2.63/0.79 fof(f933,plain,(
% 2.63/0.79 ~spl0_4|~spl0_43|~spl0_48),
% 2.63/0.79 inference(split_clause,[status(thm)],[f932,f469,f832,f901])).
% 2.63/0.79 fof(f1082,plain,(
% 2.63/0.79 spl0_68 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),X0)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1083,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),X0)|~spl0_68)),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1082])).
% 2.63/0.79 fof(f1085,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)))|~ssList(sk0_54)|memberP(sk0_47,X0)|~memberP(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)),X0))),
% 2.63/0.79 inference(paramodulation,[status(thm)],[f429,f271])).
% 2.63/0.79 fof(f1086,plain,(
% 2.63/0.79 spl0_68|~spl0_9|~spl0_10),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1085,f1082,f512,f515])).
% 2.63/0.79 fof(f1087,plain,(
% 2.63/0.79 spl0_69 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1088,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)|~spl0_69)),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1087])).
% 2.63/0.79 fof(f1090,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|~ssItem(sk0_55)|~ssList(nil)|~memberP(sk0_47,X0)|X0=sk0_55|memberP(nil,X0)|~spl0_0)),
% 2.63/0.79 inference(paramodulation,[status(thm)],[f482,f275])).
% 2.63/0.79 fof(f1091,plain,(
% 2.63/0.79 spl0_69|~spl0_5|~spl0_4|~spl0_0),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1090,f1087,f483,f469,f437])).
% 2.63/0.79 fof(f1092,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_55|~spl0_69)),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1088,f279])).
% 2.63/0.79 fof(f1297,plain,(
% 2.63/0.79 spl0_99 <=> memberP(sk0_47,sk0_52)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1298,plain,(
% 2.63/0.79 memberP(sk0_47,sk0_52)|~spl0_99),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1297])).
% 2.63/0.79 fof(f1300,plain,(
% 2.63/0.79 ~ssItem(sk0_52)|memberP(sk0_47,sk0_52)|~ssList(app(app(sk0_53,cons(sk0_51,nil)),cons(sk0_52,nil)))|~ssItem(sk0_52)|~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(nil)|~spl0_68),
% 2.63/0.79 inference(resolution,[status(thm)],[f1083,f476])).
% 2.63/0.79 fof(f1301,plain,(
% 2.63/0.79 ~spl0_43|spl0_99|~spl0_9|~spl0_31|~spl0_4|~spl0_68),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1300,f832,f1297,f512,f708,f469,f1082])).
% 2.63/0.79 fof(f1302,plain,(
% 2.63/0.79 spl0_100 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1303,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)|~spl0_100)),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1302])).
% 2.63/0.79 fof(f1305,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~ssItem(X0)|~ssList(app(sk0_53,cons(sk0_51,nil)))|~ssList(cons(sk0_52,nil))|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)|~spl0_68)),
% 2.63/0.79 inference(resolution,[status(thm)],[f1083,f271])).
% 2.63/0.79 fof(f1306,plain,(
% 2.63/0.79 spl0_100|~spl0_31|~spl0_32|~spl0_68),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1305,f1302,f708,f711,f1082])).
% 2.63/0.79 fof(f1312,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(app(sk0_53,cons(sk0_51,nil)),X0)|~spl0_100)),
% 2.63/0.79 inference(duplicate_literals_removal,[status(esa)],[f1303])).
% 2.63/0.79 fof(f1314,plain,(
% 2.63/0.79 spl0_102 <=> sk0_52=sk0_55),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1315,plain,(
% 2.63/0.79 sk0_52=sk0_55|~spl0_102),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1314])).
% 2.63/0.79 fof(f1317,plain,(
% 2.63/0.79 ~ssItem(sk0_52)|sk0_52=sk0_55|~spl0_99|~spl0_69),
% 2.63/0.79 inference(resolution,[status(thm)],[f1298,f1092])).
% 2.63/0.79 fof(f1318,plain,(
% 2.63/0.79 ~spl0_43|spl0_102|~spl0_99|~spl0_69),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1317,f832,f1314,f1297,f1087])).
% 2.63/0.79 fof(f1326,plain,(
% 2.63/0.79 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|~spl0_102|~spl0_69)),
% 2.63/0.79 inference(backward_demodulation,[status(thm)],[f1315,f1092])).
% 2.63/0.79 fof(f1838,plain,(
% 2.63/0.79 spl0_166 <=> memberP(sk0_47,sk0_51)),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1839,plain,(
% 2.63/0.79 memberP(sk0_47,sk0_51)|~spl0_166),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1838])).
% 2.63/0.79 fof(f1841,plain,(
% 2.63/0.79 ~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_100),
% 2.63/0.79 inference(resolution,[status(thm)],[f1312,f476])).
% 2.63/0.79 fof(f1842,plain,(
% 2.63/0.79 ~spl0_44|spl0_166|~spl0_31|~spl0_40|~spl0_4|~spl0_100),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1841,f851,f1838,f708,f777,f469,f1302])).
% 2.63/0.79 fof(f1854,plain,(
% 2.63/0.79 spl0_169 <=> sk0_51=sk0_52),
% 2.63/0.79 introduced(split_symbol_definition)).
% 2.63/0.79 fof(f1855,plain,(
% 2.63/0.79 sk0_51=sk0_52|~spl0_169),
% 2.63/0.79 inference(component_clause,[status(thm)],[f1854])).
% 2.63/0.79 fof(f1857,plain,(
% 2.63/0.79 ~ssItem(sk0_51)|sk0_51=sk0_52|~spl0_166|~spl0_102|~spl0_69),
% 2.63/0.79 inference(resolution,[status(thm)],[f1839,f1326])).
% 2.63/0.79 fof(f1858,plain,(
% 2.63/0.79 ~spl0_44|spl0_169|~spl0_166|~spl0_102|~spl0_69),
% 2.63/0.79 inference(split_clause,[status(thm)],[f1857,f851,f1854,f1838,f1314,f1087])).
% 2.63/0.79 fof(f1859,plain,(
% 2.63/0.79 $false|~spl0_169),
% 2.63/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1855,f430])).
% 2.63/0.79 fof(f1860,plain,(
% 2.63/0.79 ~spl0_169),
% 2.63/0.79 inference(contradiction_clause,[status(thm)],[f1859])).
% 2.63/0.79 fof(f1861,plain,(
% 2.63/0.79 $false),
% 2.63/0.79 inference(sat_refutation,[status(thm)],[f447,f478,f502,f563,f623,f715,f784,f836,f838,f840,f845,f855,f857,f905,f933,f1086,f1091,f1301,f1306,f1318,f1842,f1858,f1860])).
% 2.63/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 2.63/0.80 % Elapsed time: 0.494578 seconds
% 2.63/0.80 % CPU time: 2.963090 seconds
% 2.63/0.80 % Memory used: 87.798 MB
%------------------------------------------------------------------------------