TSTP Solution File: SWC407-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:40:21 EDT 2023
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC407-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n022.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 11:23:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f8,axiom,(
% 0.12/0.36 ssList(nil) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f71,axiom,(
% 0.12/0.36 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f161,axiom,(
% 0.12/0.36 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f190,negated_conjecture,(
% 0.12/0.36 sk2 = sk4 ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f191,negated_conjecture,(
% 0.12/0.36 sk1 = sk3 ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f192,negated_conjecture,(
% 0.12/0.36 ssItem(sk5) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f193,negated_conjecture,(
% 0.12/0.36 memberP(sk1,sk5) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f194,negated_conjecture,(
% 0.12/0.36 ~ memberP(sk2,sk5) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f196,negated_conjecture,(
% 0.12/0.36 ( ssItem(sk6)| nil = sk3 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f199,negated_conjecture,(
% 0.12/0.36 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f200,negated_conjecture,(
% 0.12/0.36 ( memberP(sk4,sk6)| nil = sk3 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f208,plain,(
% 0.12/0.36 ssList(nil)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.36 fof(f271,plain,(
% 0.12/0.36 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f71])).
% 0.12/0.36 fof(f391,plain,(
% 0.12/0.36 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f161])).
% 0.12/0.36 fof(f392,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f391])).
% 0.12/0.36 fof(f435,plain,(
% 0.12/0.36 sk2=sk4),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f190])).
% 0.12/0.36 fof(f436,plain,(
% 0.12/0.36 sk1=sk3),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f191])).
% 0.12/0.36 fof(f437,plain,(
% 0.12/0.36 ssItem(sk5)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f192])).
% 0.12/0.36 fof(f438,plain,(
% 0.12/0.36 memberP(sk1,sk5)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f193])).
% 0.12/0.36 fof(f439,plain,(
% 0.12/0.36 ~memberP(sk2,sk5)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f194])).
% 0.12/0.36 fof(f441,plain,(
% 0.12/0.36 ssItem(sk6)|nil=sk3),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f196])).
% 0.12/0.36 fof(f444,plain,(
% 0.12/0.36 cons(sk6,nil)=sk3|nil=sk3),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f199])).
% 0.12/0.36 fof(f445,plain,(
% 0.12/0.36 memberP(sk4,sk6)|nil=sk3),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f200])).
% 0.12/0.36 fof(f453,plain,(
% 0.12/0.36 spl0_2 <=> ssItem(sk6)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f460,plain,(
% 0.12/0.36 spl0_4 <=> nil=sk3),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f461,plain,(
% 0.12/0.36 nil=sk3|~spl0_4),
% 0.12/0.36 inference(component_clause,[status(thm)],[f460])).
% 0.12/0.36 fof(f463,plain,(
% 0.12/0.36 spl0_2|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f441,f453,f460])).
% 0.12/0.36 fof(f464,plain,(
% 0.12/0.36 spl0_5 <=> cons(sk6,nil)=sk3),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f465,plain,(
% 0.12/0.36 cons(sk6,nil)=sk3|~spl0_5),
% 0.12/0.36 inference(component_clause,[status(thm)],[f464])).
% 0.12/0.36 fof(f468,plain,(
% 0.12/0.36 spl0_6 <=> memberP(sk4,sk6)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f469,plain,(
% 0.12/0.36 memberP(sk4,sk6)|~spl0_6),
% 0.12/0.36 inference(component_clause,[status(thm)],[f468])).
% 0.12/0.36 fof(f472,plain,(
% 0.12/0.36 spl0_5|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f444,f464,f460])).
% 0.12/0.36 fof(f473,plain,(
% 0.12/0.36 spl0_6|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f445,f468,f460])).
% 0.12/0.36 fof(f505,plain,(
% 0.12/0.36 nil=sk1|~spl0_4),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f436,f461])).
% 0.12/0.36 fof(f506,plain,(
% 0.12/0.36 memberP(nil,sk5)|~spl0_4),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f505,f438])).
% 0.12/0.36 fof(f513,plain,(
% 0.12/0.36 ~ssItem(sk5)|~spl0_4),
% 0.12/0.36 inference(resolution,[status(thm)],[f506,f271])).
% 0.12/0.36 fof(f514,plain,(
% 0.12/0.36 $false|~spl0_4),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f513,f437])).
% 0.18/0.57 fof(f515,plain,(
% 0.18/0.57 ~spl0_4),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f514])).
% 0.18/0.57 fof(f519,plain,(
% 0.18/0.57 spl0_8 <=> ssList(nil)),
% 0.18/0.57 introduced(split_symbol_definition)).
% 0.18/0.57 fof(f521,plain,(
% 0.18/0.57 ~ssList(nil)|spl0_8),
% 0.18/0.57 inference(component_clause,[status(thm)],[f519])).
% 0.18/0.57 fof(f538,plain,(
% 0.18/0.57 $false|spl0_8),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f521,f208])).
% 0.18/0.57 fof(f539,plain,(
% 0.18/0.57 spl0_8),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f538])).
% 0.18/0.57 fof(f574,plain,(
% 0.18/0.57 memberP(sk2,sk6)|~spl0_6),
% 0.18/0.57 inference(backward_demodulation,[status(thm)],[f435,f469])).
% 0.18/0.57 fof(f579,plain,(
% 0.18/0.57 cons(sk6,nil)=sk1|~spl0_5),
% 0.18/0.57 inference(backward_demodulation,[status(thm)],[f436,f465])).
% 0.18/0.57 fof(f633,plain,(
% 0.18/0.57 spl0_19 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6),
% 0.18/0.57 introduced(split_symbol_definition)).
% 0.18/0.57 fof(f634,plain,(
% 0.18/0.57 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_19)),
% 0.18/0.57 inference(component_clause,[status(thm)],[f633])).
% 0.18/0.57 fof(f636,plain,(
% 0.18/0.57 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk6)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_5)),
% 0.18/0.57 inference(paramodulation,[status(thm)],[f579,f392])).
% 0.18/0.57 fof(f637,plain,(
% 0.18/0.57 spl0_19|~spl0_8|~spl0_2|~spl0_5),
% 0.18/0.57 inference(split_clause,[status(thm)],[f636,f633,f519,f453,f464])).
% 0.18/0.57 fof(f666,plain,(
% 0.18/0.57 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_19)),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f634,f271])).
% 0.18/0.57 fof(f682,plain,(
% 0.18/0.57 spl0_26 <=> ssItem(sk5)),
% 0.18/0.57 introduced(split_symbol_definition)).
% 0.18/0.57 fof(f684,plain,(
% 0.18/0.57 ~ssItem(sk5)|spl0_26),
% 0.18/0.57 inference(component_clause,[status(thm)],[f682])).
% 0.18/0.57 fof(f685,plain,(
% 0.18/0.57 spl0_27 <=> sk5=sk6),
% 0.18/0.57 introduced(split_symbol_definition)).
% 0.18/0.57 fof(f686,plain,(
% 0.18/0.57 sk5=sk6|~spl0_27),
% 0.18/0.57 inference(component_clause,[status(thm)],[f685])).
% 0.18/0.57 fof(f688,plain,(
% 0.18/0.57 ~ssItem(sk5)|sk5=sk6|~spl0_19),
% 0.18/0.57 inference(resolution,[status(thm)],[f666,f438])).
% 0.18/0.57 fof(f689,plain,(
% 0.18/0.57 ~spl0_26|spl0_27|~spl0_19),
% 0.18/0.57 inference(split_clause,[status(thm)],[f688,f682,f685,f633])).
% 0.18/0.57 fof(f700,plain,(
% 0.18/0.57 memberP(sk2,sk5)|~spl0_27|~spl0_6),
% 0.18/0.57 inference(backward_demodulation,[status(thm)],[f686,f574])).
% 0.18/0.57 fof(f701,plain,(
% 0.18/0.57 $false|~spl0_27|~spl0_6),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f700,f439])).
% 0.18/0.57 fof(f702,plain,(
% 0.18/0.57 ~spl0_27|~spl0_6),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f701])).
% 0.18/0.57 fof(f724,plain,(
% 0.18/0.57 $false|spl0_26),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f437,f684])).
% 0.18/0.57 fof(f725,plain,(
% 0.18/0.57 spl0_26),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f724])).
% 0.18/0.57 fof(f726,plain,(
% 0.18/0.57 $false),
% 0.18/0.57 inference(sat_refutation,[status(thm)],[f463,f472,f473,f515,f539,f637,f689,f702,f725])).
% 0.18/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.57 % Elapsed time: 0.022462 seconds
% 0.18/0.57 % CPU time: 0.066024 seconds
% 0.18/0.57 % Memory used: 16.232 MB
%------------------------------------------------------------------------------