TSTP Solution File: NUM190-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 12:24:37 EDT 2023
% Result : Unsatisfiable 0.17s 0.39s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 10:14:37 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.17/0.39 % Refutation found
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.39 fof(f8,axiom,(
% 0.17/0.39 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f12,axiom,(
% 0.17/0.39 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f21,axiom,(
% 0.17/0.39 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f24,axiom,(
% 0.17/0.39 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f47,axiom,(
% 0.17/0.39 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f50,axiom,(
% 0.17/0.39 inductive(omega) ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f67,axiom,(
% 0.17/0.39 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f139,axiom,(
% 0.17/0.39 intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f159,negated_conjecture,(
% 0.17/0.39 omega = null_class ),
% 0.17/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.39 fof(f168,plain,(
% 0.17/0.39 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.17/0.39 inference(miniscoping,[status(esa)],[f8])).
% 0.17/0.39 fof(f169,plain,(
% 0.17/0.39 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f168])).
% 0.17/0.39 fof(f175,plain,(
% 0.17/0.39 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.17/0.39 fof(f187,plain,(
% 0.17/0.39 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.17/0.39 inference(miniscoping,[status(esa)],[f21])).
% 0.17/0.39 fof(f188,plain,(
% 0.17/0.39 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f187])).
% 0.17/0.39 fof(f192,plain,(
% 0.17/0.39 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.17/0.39 fof(f215,plain,(
% 0.17/0.39 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f47])).
% 0.17/0.39 fof(f218,plain,(
% 0.17/0.39 inductive(omega)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f50])).
% 0.17/0.39 fof(f235,plain,(
% 0.17/0.39 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f67])).
% 0.17/0.39 fof(f323,plain,(
% 0.17/0.39 intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f139])).
% 0.17/0.39 fof(f347,plain,(
% 0.17/0.39 omega=null_class),
% 0.17/0.39 inference(cnf_transformation,[status(esa)],[f159])).
% 0.17/0.39 fof(f355,plain,(
% 0.17/0.39 inductive(null_class)),
% 0.17/0.39 inference(forward_demodulation,[status(thm)],[f347,f218])).
% 0.17/0.39 fof(f379,plain,(
% 0.17/0.39 spl0_2 <=> inductive(null_class)),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f381,plain,(
% 0.17/0.39 ~inductive(null_class)|spl0_2),
% 0.17/0.39 inference(component_clause,[status(thm)],[f379])).
% 0.17/0.39 fof(f384,plain,(
% 0.17/0.39 $false|spl0_2),
% 0.17/0.39 inference(forward_subsumption_resolution,[status(thm)],[f381,f355])).
% 0.17/0.39 fof(f385,plain,(
% 0.17/0.39 spl0_2),
% 0.17/0.39 inference(contradiction_clause,[status(thm)],[f384])).
% 0.17/0.39 fof(f392,plain,(
% 0.17/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f175,f169])).
% 0.17/0.39 fof(f393,plain,(
% 0.17/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.17/0.39 inference(duplicate_literals_removal,[status(esa)],[f392])).
% 0.17/0.39 fof(f405,plain,(
% 0.17/0.39 ![X0]: (null_class=X0|~inductive(singleton(X0)))),
% 0.17/0.39 inference(resolution,[status(thm)],[f393,f215])).
% 0.17/0.39 fof(f533,plain,(
% 0.17/0.39 ![X0,X1]: (member(null_class,X0)|~inductive(intersection(X0,X1)))),
% 0.17/0.39 inference(resolution,[status(thm)],[f188,f215])).
% 0.17/0.39 fof(f534,plain,(
% 0.17/0.39 ![X0]: (~member(X0,limit_ordinals)|member(X0,complement(kind_1_ordinals)))),
% 0.17/0.39 inference(paramodulation,[status(thm)],[f323,f188])).
% 0.17/0.39 fof(f700,plain,(
% 0.17/0.39 spl0_47 <=> member(null_class,X0)|X0=null_class),
% 0.17/0.39 introduced(split_symbol_definition)).
% 0.17/0.39 fof(f701,plain,(
% 0.17/0.39 ![X0]: (member(null_class,X0)|X0=null_class|~spl0_47)),
% 0.17/0.39 inference(component_clause,[status(thm)],[f700])).
% 0.25/0.63 fof(f703,plain,(
% 0.25/0.63 ![X0]: (member(null_class,X0)|~inductive(null_class)|X0=null_class)),
% 0.25/0.63 inference(paramodulation,[status(thm)],[f235,f533])).
% 0.25/0.63 fof(f704,plain,(
% 0.25/0.63 spl0_47|~spl0_2),
% 0.25/0.63 inference(split_clause,[status(thm)],[f703,f700,f379])).
% 0.25/0.63 fof(f715,plain,(
% 0.25/0.63 ![X0]: (singleton(X0)=null_class|null_class=X0|~spl0_47)),
% 0.25/0.63 inference(resolution,[status(thm)],[f701,f393])).
% 0.25/0.63 fof(f1126,plain,(
% 0.25/0.63 spl0_78 <=> null_class=X0|null_class=X0),
% 0.25/0.63 introduced(split_symbol_definition)).
% 0.25/0.63 fof(f1127,plain,(
% 0.25/0.63 ![X0]: (null_class=X0|null_class=X0|~spl0_78)),
% 0.25/0.63 inference(component_clause,[status(thm)],[f1126])).
% 0.25/0.63 fof(f1129,plain,(
% 0.25/0.63 ![X0]: (null_class=X0|~inductive(null_class)|null_class=X0|~spl0_47)),
% 0.25/0.63 inference(paramodulation,[status(thm)],[f715,f405])).
% 0.25/0.63 fof(f1130,plain,(
% 0.25/0.63 spl0_78|~spl0_2|~spl0_47),
% 0.25/0.63 inference(split_clause,[status(thm)],[f1129,f1126,f379,f700])).
% 0.25/0.63 fof(f1131,plain,(
% 0.25/0.63 ![X0]: (null_class=X0|~spl0_78)),
% 0.25/0.63 inference(duplicate_literals_removal,[status(esa)],[f1127])).
% 0.25/0.63 fof(f1188,plain,(
% 0.25/0.63 ![X0]: (~member(X0,limit_ordinals)|~member(X0,kind_1_ordinals))),
% 0.25/0.63 inference(resolution,[status(thm)],[f534,f192])).
% 0.25/0.63 fof(f1294,plain,(
% 0.25/0.63 ![X0]: (inductive(X0)|~spl0_78)),
% 0.25/0.63 inference(paramodulation,[status(thm)],[f1131,f355])).
% 0.25/0.63 fof(f1308,plain,(
% 0.25/0.63 ![X0]: (member(null_class,X0)|~spl0_78)),
% 0.25/0.63 inference(backward_subsumption_resolution,[status(thm)],[f215,f1294])).
% 0.25/0.63 fof(f1332,plain,(
% 0.25/0.63 ~member(null_class,kind_1_ordinals)|~spl0_78),
% 0.25/0.63 inference(resolution,[status(thm)],[f1308,f1188])).
% 0.25/0.63 fof(f1333,plain,(
% 0.25/0.63 $false|~spl0_78),
% 0.25/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1332,f1308])).
% 0.25/0.63 fof(f1334,plain,(
% 0.25/0.63 ~spl0_78),
% 0.25/0.63 inference(contradiction_clause,[status(thm)],[f1333])).
% 0.25/0.63 fof(f1335,plain,(
% 0.25/0.63 $false),
% 0.25/0.63 inference(sat_refutation,[status(thm)],[f385,f704,f1130,f1334])).
% 0.25/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.63 % Elapsed time: 0.084750 seconds
% 0.25/0.63 % CPU time: 0.160707 seconds
% 0.25/0.63 % Memory used: 20.411 MB
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