TSTP Solution File: SWC392-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC392-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:40:18 EDT 2023
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC392-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:46:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.37 % Refutation found
% 0.19/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.37 fof(f8,axiom,(
% 0.19/0.37 ssList(nil) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f71,axiom,(
% 0.19/0.37 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f161,axiom,(
% 0.19/0.37 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f190,negated_conjecture,(
% 0.19/0.37 sk2 = sk4 ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f191,negated_conjecture,(
% 0.19/0.37 sk1 = sk3 ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f192,negated_conjecture,(
% 0.19/0.37 ssItem(sk5) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f193,negated_conjecture,(
% 0.19/0.37 memberP(sk1,sk5) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f194,negated_conjecture,(
% 0.19/0.37 ~ memberP(sk2,sk5) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f196,negated_conjecture,(
% 0.19/0.37 ( ssItem(sk6)| nil = sk3 ) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f200,negated_conjecture,(
% 0.19/0.37 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f201,negated_conjecture,(
% 0.19/0.37 ( memberP(sk4,sk6)| nil = sk3 ) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f210,plain,(
% 0.19/0.37 ssList(nil)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.37 fof(f273,plain,(
% 0.19/0.37 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f71])).
% 0.19/0.37 fof(f393,plain,(
% 0.19/0.37 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.19/0.37 inference(miniscoping,[status(esa)],[f161])).
% 0.19/0.37 fof(f394,plain,(
% 0.19/0.37 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f393])).
% 0.19/0.37 fof(f437,plain,(
% 0.19/0.37 sk2=sk4),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.19/0.37 fof(f438,plain,(
% 0.19/0.37 sk1=sk3),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.19/0.37 fof(f439,plain,(
% 0.19/0.37 ssItem(sk5)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.37 fof(f440,plain,(
% 0.19/0.37 memberP(sk1,sk5)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f193])).
% 0.19/0.37 fof(f441,plain,(
% 0.19/0.37 ~memberP(sk2,sk5)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f194])).
% 0.19/0.37 fof(f443,plain,(
% 0.19/0.37 ssItem(sk6)|nil=sk3),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.37 fof(f448,plain,(
% 0.19/0.37 cons(sk6,nil)=sk3|nil=sk3),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f200])).
% 0.19/0.37 fof(f449,plain,(
% 0.19/0.37 memberP(sk4,sk6)|nil=sk3),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f201])).
% 0.19/0.37 fof(f459,plain,(
% 0.19/0.37 spl0_2 <=> ssItem(sk6)),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f466,plain,(
% 0.19/0.37 spl0_4 <=> nil=sk3),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f467,plain,(
% 0.19/0.37 nil=sk3|~spl0_4),
% 0.19/0.37 inference(component_clause,[status(thm)],[f466])).
% 0.19/0.37 fof(f469,plain,(
% 0.19/0.37 spl0_2|spl0_4),
% 0.19/0.37 inference(split_clause,[status(thm)],[f443,f459,f466])).
% 0.19/0.37 fof(f470,plain,(
% 0.19/0.37 spl0_5 <=> cons(sk6,nil)=sk3),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f471,plain,(
% 0.19/0.37 cons(sk6,nil)=sk3|~spl0_5),
% 0.19/0.37 inference(component_clause,[status(thm)],[f470])).
% 0.19/0.37 fof(f474,plain,(
% 0.19/0.37 spl0_6 <=> memberP(sk4,sk6)),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f475,plain,(
% 0.19/0.37 memberP(sk4,sk6)|~spl0_6),
% 0.19/0.37 inference(component_clause,[status(thm)],[f474])).
% 0.19/0.37 fof(f482,plain,(
% 0.19/0.37 spl0_5|spl0_4),
% 0.19/0.37 inference(split_clause,[status(thm)],[f448,f470,f466])).
% 0.19/0.37 fof(f483,plain,(
% 0.19/0.37 spl0_6|spl0_4),
% 0.19/0.37 inference(split_clause,[status(thm)],[f449,f474,f466])).
% 0.19/0.37 fof(f516,plain,(
% 0.19/0.37 nil=sk1|~spl0_4),
% 0.19/0.37 inference(forward_demodulation,[status(thm)],[f438,f467])).
% 0.19/0.37 fof(f517,plain,(
% 0.19/0.37 memberP(nil,sk5)|~spl0_4),
% 0.19/0.37 inference(backward_demodulation,[status(thm)],[f516,f440])).
% 0.19/0.37 fof(f524,plain,(
% 0.19/0.37 ~ssItem(sk5)|~spl0_4),
% 0.19/0.37 inference(resolution,[status(thm)],[f517,f273])).
% 0.19/0.37 fof(f525,plain,(
% 0.19/0.37 $false|~spl0_4),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f524,f439])).
% 0.19/0.41 fof(f526,plain,(
% 0.19/0.41 ~spl0_4),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f525])).
% 0.19/0.41 fof(f530,plain,(
% 0.19/0.41 spl0_9 <=> ssList(nil)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f532,plain,(
% 0.19/0.41 ~ssList(nil)|spl0_9),
% 0.19/0.41 inference(component_clause,[status(thm)],[f530])).
% 0.19/0.41 fof(f549,plain,(
% 0.19/0.41 $false|spl0_9),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f532,f210])).
% 0.19/0.41 fof(f550,plain,(
% 0.19/0.41 spl0_9),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f549])).
% 0.19/0.41 fof(f603,plain,(
% 0.19/0.41 memberP(sk2,sk6)|~spl0_6),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f437,f475])).
% 0.19/0.41 fof(f608,plain,(
% 0.19/0.41 cons(sk6,nil)=sk1|~spl0_5),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f438,f471])).
% 0.19/0.41 fof(f632,plain,(
% 0.19/0.41 spl0_16 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f633,plain,(
% 0.19/0.41 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_16)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f632])).
% 0.19/0.41 fof(f635,plain,(
% 0.19/0.41 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk6)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_5)),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f608,f394])).
% 0.19/0.41 fof(f636,plain,(
% 0.19/0.41 spl0_16|~spl0_9|~spl0_2|~spl0_5),
% 0.19/0.41 inference(split_clause,[status(thm)],[f635,f632,f530,f459,f470])).
% 0.19/0.41 fof(f664,plain,(
% 0.19/0.41 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_16)),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f633,f273])).
% 0.19/0.41 fof(f676,plain,(
% 0.19/0.41 spl0_22 <=> ssItem(sk5)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f678,plain,(
% 0.19/0.41 ~ssItem(sk5)|spl0_22),
% 0.19/0.41 inference(component_clause,[status(thm)],[f676])).
% 0.19/0.41 fof(f679,plain,(
% 0.19/0.41 spl0_23 <=> sk5=sk6),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f680,plain,(
% 0.19/0.41 sk5=sk6|~spl0_23),
% 0.19/0.41 inference(component_clause,[status(thm)],[f679])).
% 0.19/0.41 fof(f682,plain,(
% 0.19/0.41 ~ssItem(sk5)|sk5=sk6|~spl0_16),
% 0.19/0.41 inference(resolution,[status(thm)],[f664,f440])).
% 0.19/0.41 fof(f683,plain,(
% 0.19/0.41 ~spl0_22|spl0_23|~spl0_16),
% 0.19/0.41 inference(split_clause,[status(thm)],[f682,f676,f679,f632])).
% 0.19/0.41 fof(f684,plain,(
% 0.19/0.41 $false|spl0_22),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f678,f439])).
% 0.19/0.41 fof(f685,plain,(
% 0.19/0.41 spl0_22),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f684])).
% 0.19/0.41 fof(f705,plain,(
% 0.19/0.41 memberP(sk2,sk5)|~spl0_23|~spl0_6),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f680,f603])).
% 0.19/0.41 fof(f706,plain,(
% 0.19/0.41 $false|~spl0_23|~spl0_6),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f705,f441])).
% 0.19/0.41 fof(f707,plain,(
% 0.19/0.41 ~spl0_23|~spl0_6),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f706])).
% 0.19/0.41 fof(f708,plain,(
% 0.19/0.41 $false),
% 0.19/0.41 inference(sat_refutation,[status(thm)],[f469,f482,f483,f526,f550,f636,f683,f685,f707])).
% 0.19/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41 % Elapsed time: 0.067905 seconds
% 0.19/0.41 % CPU time: 0.039860 seconds
% 0.19/0.41 % Memory used: 4.178 MB
%------------------------------------------------------------------------------