TSTP Solution File: SWC408+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC408+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:45:40 EDT 2024
% Result : Theorem 0.10s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWC408+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:16:05 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.6.0
% 0.10/0.31 % Refutation found
% 0.10/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.31 fof(f36,axiom,(
% 0.10/0.31 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f96,conjecture,(
% 0.10/0.31 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(V,Y)| memberP(U,Y) ) ) )) ) )) )) )) )),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f97,negated_conjecture,(
% 0.10/0.31 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(V,Y)| memberP(U,Y) ) ) )) ) )) )) )) ))),
% 0.10/0.31 inference(negated_conjecture,[status(cth)],[f96])).
% 0.10/0.31 fof(f268,plain,(
% 0.10/0.31 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.10/0.31 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.10/0.31 fof(f269,plain,(
% 0.10/0.31 ![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)))))))))),
% 0.10/0.31 inference(NNF_transformation,[status(esa)],[f268])).
% 0.10/0.31 fof(f271,plain,(
% 0.10/0.31 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f269])).
% 0.10/0.31 fof(f415,plain,(
% 0.10/0.31 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((app(X,X)=W&V=X)&U=W)&(?[Y]: (ssItem(Y)&(memberP(V,Y)&~memberP(U,Y)))))))))))))),
% 0.10/0.31 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.10/0.31 fof(f416,plain,(
% 0.10/0.31 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((app(sk0_50,sk0_50)=sk0_49&sk0_48=sk0_50)&sk0_47=sk0_49)&(ssItem(sk0_51)&(memberP(sk0_48,sk0_51)&~memberP(sk0_47,sk0_51))))))))),
% 0.10/0.31 inference(skolemization,[status(esa)],[f415])).
% 0.10/0.31 fof(f418,plain,(
% 0.10/0.31 ssList(sk0_48)),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f421,plain,(
% 0.10/0.31 app(sk0_50,sk0_50)=sk0_49),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f422,plain,(
% 0.10/0.31 sk0_48=sk0_50),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f423,plain,(
% 0.10/0.31 sk0_47=sk0_49),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f424,plain,(
% 0.10/0.31 ssItem(sk0_51)),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f425,plain,(
% 0.10/0.31 memberP(sk0_48,sk0_51)),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f426,plain,(
% 0.10/0.31 ~memberP(sk0_47,sk0_51)),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f416])).
% 0.10/0.31 fof(f458,plain,(
% 0.10/0.31 app(sk0_48,sk0_50)=sk0_49),
% 0.10/0.31 inference(forward_demodulation,[status(thm)],[f422,f421])).
% 0.10/0.31 fof(f459,plain,(
% 0.10/0.31 app(sk0_48,sk0_48)=sk0_49),
% 0.10/0.31 inference(forward_demodulation,[status(thm)],[f422,f458])).
% 0.10/0.31 fof(f460,plain,(
% 0.10/0.31 app(sk0_48,sk0_48)=sk0_47),
% 0.10/0.31 inference(backward_demodulation,[status(thm)],[f423,f459])).
% 0.10/0.31 fof(f462,plain,(
% 0.10/0.31 spl0_0 <=> ssList(sk0_48)),
% 0.10/0.31 introduced(split_symbol_definition)).
% 0.10/0.31 fof(f464,plain,(
% 0.10/0.31 ~ssList(sk0_48)|spl0_0),
% 0.10/0.31 inference(component_clause,[status(thm)],[f462])).
% 0.10/0.31 fof(f470,plain,(
% 0.10/0.31 $false|spl0_0),
% 0.10/0.31 inference(forward_subsumption_resolution,[status(thm)],[f464,f418])).
% 0.10/0.31 fof(f471,plain,(
% 0.10/0.31 spl0_0),
% 0.10/0.31 inference(contradiction_clause,[status(thm)],[f470])).
% 0.10/0.31 fof(f560,plain,(
% 0.10/0.31 spl0_15 <=> ~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_48,X0)),
% 0.10/0.31 introduced(split_symbol_definition)).
% 0.10/0.31 fof(f561,plain,(
% 0.10/0.31 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~memberP(sk0_48,X0)|~spl0_15)),
% 0.10/0.31 inference(component_clause,[status(thm)],[f560])).
% 0.10/0.31 fof(f563,plain,(
% 0.10/0.31 ![X0]: (~ssItem(X0)|~ssList(sk0_48)|~ssList(sk0_48)|memberP(sk0_47,X0)|~memberP(sk0_48,X0))),
% 0.10/0.31 inference(paramodulation,[status(thm)],[f460,f271])).
% 0.10/0.31 fof(f564,plain,(
% 0.10/0.31 spl0_15|~spl0_0),
% 0.10/0.31 inference(split_clause,[status(thm)],[f563,f560,f462])).
% 0.10/0.31 fof(f565,plain,(
% 0.10/0.31 spl0_16 <=> ssItem(sk0_51)),
% 0.10/0.31 introduced(split_symbol_definition)).
% 0.10/0.31 fof(f567,plain,(
% 0.10/0.31 ~ssItem(sk0_51)|spl0_16),
% 0.10/0.31 inference(component_clause,[status(thm)],[f565])).
% 0.10/0.31 fof(f568,plain,(
% 0.15/0.31 spl0_17 <=> memberP(sk0_47,sk0_51)),
% 0.15/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f569,plain,(
% 0.15/0.31 memberP(sk0_47,sk0_51)|~spl0_17),
% 0.15/0.31 inference(component_clause,[status(thm)],[f568])).
% 0.15/0.31 fof(f571,plain,(
% 0.15/0.31 ~ssItem(sk0_51)|memberP(sk0_47,sk0_51)|~spl0_15),
% 0.15/0.31 inference(resolution,[status(thm)],[f561,f425])).
% 0.15/0.31 fof(f572,plain,(
% 0.15/0.31 ~spl0_16|spl0_17|~spl0_15),
% 0.15/0.31 inference(split_clause,[status(thm)],[f571,f565,f568,f560])).
% 0.15/0.31 fof(f573,plain,(
% 0.15/0.31 $false|spl0_16),
% 0.15/0.31 inference(forward_subsumption_resolution,[status(thm)],[f567,f424])).
% 0.15/0.31 fof(f574,plain,(
% 0.15/0.31 spl0_16),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f573])).
% 0.15/0.31 fof(f575,plain,(
% 0.15/0.31 $false|~spl0_17),
% 0.15/0.31 inference(forward_subsumption_resolution,[status(thm)],[f569,f426])).
% 0.15/0.31 fof(f576,plain,(
% 0.15/0.31 ~spl0_17),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f575])).
% 0.15/0.31 fof(f577,plain,(
% 0.15/0.31 $false),
% 0.15/0.31 inference(sat_refutation,[status(thm)],[f471,f564,f572,f574,f576])).
% 0.15/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.32 % Elapsed time: 0.019463 seconds
% 0.15/0.32 % CPU time: 0.031552 seconds
% 0.15/0.32 % Total memory used: 14.597 MB
% 0.15/0.32 % Net memory used: 14.574 MB
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