TSTP Solution File: SWC398+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:40:19 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n009.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 11:16:01 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f36,axiom,(
% 0.13/0.35 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f96,conjecture,(
% 0.13/0.35 (! [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 ) )) )) )) ))| (! [X3] :( ssItem(X3)=> ( ~ memberP(U,X3)| memberP(V,X3) ) ))| ( nil != X& nil = W ) ) ) )) )) )) )),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f97,negated_conjecture,(
% 0.13/0.35 ~((! [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 ) )) )) )) ))| (! [X3] :( ssItem(X3)=> ( ~ memberP(U,X3)| memberP(V,X3) ) ))| ( nil != X& nil = W ) ) ) )) )) )) ))),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.35 fof(f268,plain,(
% 0.13/0.35 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.13/0.35 fof(f269,plain,(
% 0.13/0.35 ![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)))))))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f268])).
% 0.13/0.35 fof(f271,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f269])).
% 0.13/0.35 fof(f415,plain,(
% 0.13/0.35 (?[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))))))))))&(?[X3]: (ssItem(X3)&(memberP(U,X3)&~memberP(V,X3)))))&(nil=X|~nil=W))))))))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.35 fof(f416,plain,(
% 0.13/0.35 ?[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)))))))))&(?[X3]: (ssItem(X3)&(memberP(U,X3)&~memberP(V,X3)))))&(nil=X|~nil=W)))))))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f415])).
% 0.13/0.35 fof(f417,plain,(
% 0.13/0.35 (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))))))))&(ssItem(sk0_52)&(memberP(sk0_47,sk0_52)&~memberP(sk0_48,sk0_52))))&(nil=sk0_50|~nil=sk0_49))))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f416])).
% 0.13/0.35 fof(f418,plain,(
% 0.13/0.35 ssList(sk0_47)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f422,plain,(
% 0.13/0.35 sk0_48=sk0_50),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f423,plain,(
% 0.13/0.35 sk0_47=sk0_49),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f424,plain,(
% 0.13/0.35 ssList(sk0_51)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f425,plain,(
% 0.13/0.35 app(sk0_49,sk0_51)=sk0_50),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f428,plain,(
% 0.13/0.35 ssItem(sk0_52)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f429,plain,(
% 0.13/0.35 memberP(sk0_47,sk0_52)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f430,plain,(
% 0.13/0.35 ~memberP(sk0_48,sk0_52)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f417])).
% 0.13/0.35 fof(f472,plain,(
% 0.13/0.35 app(sk0_47,sk0_51)=sk0_50),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.13/0.35 fof(f473,plain,(
% 0.13/0.35 app(sk0_47,sk0_51)=sk0_48),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f422,f472])).
% 0.19/0.59 fof(f476,plain,(
% 0.19/0.59 spl0_2 <=> ssList(sk0_47)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f478,plain,(
% 0.19/0.59 ~ssList(sk0_47)|spl0_2),
% 0.19/0.59 inference(component_clause,[status(thm)],[f476])).
% 0.19/0.59 fof(f479,plain,(
% 0.19/0.59 spl0_3 <=> ssList(sk0_51)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f481,plain,(
% 0.19/0.59 ~ssList(sk0_51)|spl0_3),
% 0.19/0.59 inference(component_clause,[status(thm)],[f479])).
% 0.19/0.59 fof(f487,plain,(
% 0.19/0.59 $false|spl0_3),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f481,f424])).
% 0.19/0.59 fof(f488,plain,(
% 0.19/0.59 spl0_3),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f487])).
% 0.19/0.59 fof(f489,plain,(
% 0.19/0.59 $false|spl0_2),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f478,f418])).
% 0.19/0.59 fof(f490,plain,(
% 0.19/0.59 spl0_2),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f489])).
% 0.19/0.59 fof(f619,plain,(
% 0.19/0.59 spl0_22 <=> ~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_47,X0)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f620,plain,(
% 0.19/0.59 ![X0]: (~ssItem(X0)|memberP(sk0_48,X0)|~memberP(sk0_47,X0)|~spl0_22)),
% 0.19/0.59 inference(component_clause,[status(thm)],[f619])).
% 0.19/0.59 fof(f622,plain,(
% 0.19/0.59 ![X0]: (~ssItem(X0)|~ssList(sk0_47)|~ssList(sk0_51)|memberP(sk0_48,X0)|~memberP(sk0_47,X0))),
% 0.19/0.59 inference(paramodulation,[status(thm)],[f473,f271])).
% 0.19/0.59 fof(f623,plain,(
% 0.19/0.59 spl0_22|~spl0_2|~spl0_3),
% 0.19/0.59 inference(split_clause,[status(thm)],[f622,f619,f476,f479])).
% 0.19/0.59 fof(f687,plain,(
% 0.19/0.59 spl0_33 <=> ssItem(sk0_52)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f689,plain,(
% 0.19/0.59 ~ssItem(sk0_52)|spl0_33),
% 0.19/0.59 inference(component_clause,[status(thm)],[f687])).
% 0.19/0.59 fof(f690,plain,(
% 0.19/0.59 spl0_34 <=> memberP(sk0_48,sk0_52)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f691,plain,(
% 0.19/0.59 memberP(sk0_48,sk0_52)|~spl0_34),
% 0.19/0.59 inference(component_clause,[status(thm)],[f690])).
% 0.19/0.59 fof(f693,plain,(
% 0.19/0.59 ~ssItem(sk0_52)|memberP(sk0_48,sk0_52)|~spl0_22),
% 0.19/0.59 inference(resolution,[status(thm)],[f620,f429])).
% 0.19/0.59 fof(f694,plain,(
% 0.19/0.59 ~spl0_33|spl0_34|~spl0_22),
% 0.19/0.59 inference(split_clause,[status(thm)],[f693,f687,f690,f619])).
% 0.19/0.59 fof(f695,plain,(
% 0.19/0.59 $false|spl0_33),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f689,f428])).
% 0.19/0.59 fof(f696,plain,(
% 0.19/0.59 spl0_33),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f695])).
% 0.19/0.59 fof(f697,plain,(
% 0.19/0.59 $false|~spl0_34),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f691,f430])).
% 0.19/0.59 fof(f698,plain,(
% 0.19/0.59 ~spl0_34),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f697])).
% 0.19/0.59 fof(f699,plain,(
% 0.19/0.59 $false),
% 0.19/0.59 inference(sat_refutation,[status(thm)],[f488,f490,f623,f694,f696,f698])).
% 0.19/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.59 % Elapsed time: 0.023034 seconds
% 0.19/0.59 % CPU time: 0.028924 seconds
% 0.19/0.59 % Memory used: 4.192 MB
%------------------------------------------------------------------------------