TSTP Solution File: NUM181-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM181-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:30:23 EDT 2024
% Result : Unsatisfiable 39.65s 5.45s
% Output : CNFRefutation 40.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM181-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:42:35 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 39.65/5.45 % Refutation found
% 39.65/5.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.65/5.45 % SZS output start CNFRefutation for theBenchmark
% 39.65/5.45 fof(f1,axiom,(
% 39.65/5.45 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f4,axiom,(
% 39.65/5.45 (![X]: (subclass(X,universal_class) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f5,axiom,(
% 39.65/5.45 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f9,axiom,(
% 39.65/5.45 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f12,axiom,(
% 39.65/5.45 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f21,axiom,(
% 39.65/5.45 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f22,axiom,(
% 39.65/5.45 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f24,axiom,(
% 39.65/5.45 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f25,axiom,(
% 39.65/5.45 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f26,axiom,(
% 39.65/5.45 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f47,axiom,(
% 39.65/5.45 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f50,axiom,(
% 39.65/5.45 inductive(omega) ),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f135,axiom,(
% 39.65/5.45 (![X]: (( ~ member(X,ordinal_numbers)| subclass(sum_class(X),X) ) ))),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f138,axiom,(
% 39.65/5.45 union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals ),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f139,axiom,(
% 39.65/5.45 intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals ),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f159,negated_conjecture,(
% 39.65/5.45 member(null_class,limit_ordinals) ),
% 39.65/5.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.65/5.45 fof(f160,plain,(
% 39.65/5.45 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 39.65/5.45 inference(miniscoping,[status(esa)],[f1])).
% 39.65/5.45 fof(f161,plain,(
% 39.65/5.45 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f160])).
% 39.65/5.45 fof(f164,plain,(
% 39.65/5.45 ![X0]: (subclass(X0,universal_class))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f4])).
% 39.65/5.45 fof(f165,plain,(
% 39.65/5.45 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f5])).
% 39.65/5.45 fof(f170,plain,(
% 39.65/5.45 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 39.65/5.45 inference(miniscoping,[status(esa)],[f9])).
% 39.65/5.45 fof(f171,plain,(
% 39.65/5.45 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f170])).
% 39.65/5.45 fof(f175,plain,(
% 39.65/5.45 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f12])).
% 39.65/5.45 fof(f187,plain,(
% 39.65/5.45 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 39.65/5.45 inference(miniscoping,[status(esa)],[f21])).
% 39.65/5.45 fof(f188,plain,(
% 39.65/5.45 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f187])).
% 39.65/5.45 fof(f189,plain,(
% 39.65/5.45 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 39.65/5.45 inference(miniscoping,[status(esa)],[f22])).
% 39.65/5.45 fof(f190,plain,(
% 39.65/5.45 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f189])).
% 39.65/5.45 fof(f192,plain,(
% 39.65/5.45 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f24])).
% 39.65/5.45 fof(f193,plain,(
% 39.65/5.45 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 39.65/5.45 inference(cnf_transformation,[status(esa)],[f25])).
% 40.10/5.47 fof(f194,plain,(
% 40.10/5.47 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f26])).
% 40.10/5.47 fof(f215,plain,(
% 40.10/5.47 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f47])).
% 40.10/5.47 fof(f218,plain,(
% 40.10/5.47 inductive(omega)),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f50])).
% 40.10/5.47 fof(f319,plain,(
% 40.10/5.47 ![X0]: (~member(X0,ordinal_numbers)|subclass(sum_class(X0),X0))),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f135])).
% 40.10/5.47 fof(f322,plain,(
% 40.10/5.47 union(singleton(null_class),image(successor_relation,ordinal_numbers))=kind_1_ordinals),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f138])).
% 40.10/5.47 fof(f323,plain,(
% 40.10/5.47 intersection(complement(kind_1_ordinals),ordinal_numbers)=limit_ordinals),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f139])).
% 40.10/5.47 fof(f347,plain,(
% 40.10/5.47 member(null_class,limit_ordinals)),
% 40.10/5.47 inference(cnf_transformation,[status(esa)],[f159])).
% 40.10/5.47 fof(f348,plain,(
% 40.10/5.47 ![X0]: (subclass(X0,X0))),
% 40.10/5.47 inference(destructive_equality_resolution,[status(esa)],[f165])).
% 40.10/5.47 fof(f363,plain,(
% 40.10/5.47 ![X0]: (~member(X0,limit_ordinals)|member(X0,complement(kind_1_ordinals)))),
% 40.10/5.47 inference(paramodulation,[status(thm)],[f323,f188])).
% 40.10/5.47 fof(f424,plain,(
% 40.10/5.47 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~subclass(X2,universal_class)|~member(X0,X2))),
% 40.10/5.47 inference(resolution,[status(thm)],[f193,f161])).
% 40.10/5.47 fof(f458,plain,(
% 40.10/5.47 ![X0,X1,X2]: (member(X0,complement(X1))|member(X0,X1)|~member(X0,X2))),
% 40.10/5.47 inference(forward_subsumption_resolution,[status(thm)],[f424,f164])).
% 40.10/5.47 fof(f601,plain,(
% 40.10/5.47 spl0_17 <=> member(null_class,complement(kind_1_ordinals))),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f602,plain,(
% 40.10/5.47 member(null_class,complement(kind_1_ordinals))|~spl0_17),
% 40.10/5.47 inference(component_clause,[status(thm)],[f601])).
% 40.10/5.47 fof(f603,plain,(
% 40.10/5.47 ~member(null_class,complement(kind_1_ordinals))|spl0_17),
% 40.10/5.47 inference(component_clause,[status(thm)],[f601])).
% 40.10/5.47 fof(f715,plain,(
% 40.10/5.47 member(null_class,omega)),
% 40.10/5.47 inference(resolution,[status(thm)],[f218,f215])).
% 40.10/5.47 fof(f717,plain,(
% 40.10/5.47 ~member(null_class,limit_ordinals)|spl0_17),
% 40.10/5.47 inference(resolution,[status(thm)],[f603,f363])).
% 40.10/5.47 fof(f718,plain,(
% 40.10/5.47 $false|spl0_17),
% 40.10/5.47 inference(forward_subsumption_resolution,[status(thm)],[f717,f347])).
% 40.10/5.47 fof(f719,plain,(
% 40.10/5.47 spl0_17),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f718])).
% 40.10/5.47 fof(f720,plain,(
% 40.10/5.47 ~member(null_class,kind_1_ordinals)|~spl0_17),
% 40.10/5.47 inference(resolution,[status(thm)],[f602,f192])).
% 40.10/5.47 fof(f721,plain,(
% 40.10/5.47 ![X0]: (~subclass(X0,kind_1_ordinals)|~member(null_class,X0)|~spl0_17)),
% 40.10/5.47 inference(resolution,[status(thm)],[f720,f161])).
% 40.10/5.47 fof(f949,plain,(
% 40.10/5.47 spl0_51 <=> ~member(null_class,X0)),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f950,plain,(
% 40.10/5.47 ![X0]: (~member(null_class,X0)|~spl0_51)),
% 40.10/5.47 inference(component_clause,[status(thm)],[f949])).
% 40.10/5.47 fof(f1505,plain,(
% 40.10/5.47 $false|~spl0_51),
% 40.10/5.47 inference(backward_subsumption_resolution,[status(thm)],[f715,f950])).
% 40.10/5.47 fof(f1506,plain,(
% 40.10/5.47 ~spl0_51),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f1505])).
% 40.10/5.47 fof(f2016,plain,(
% 40.10/5.47 spl0_112 <=> member(null_class,omega)),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f2018,plain,(
% 40.10/5.47 ~member(null_class,omega)|spl0_112),
% 40.10/5.47 inference(component_clause,[status(thm)],[f2016])).
% 40.10/5.47 fof(f2356,plain,(
% 40.10/5.47 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 40.10/5.47 inference(resolution,[status(thm)],[f161,f164])).
% 40.10/5.47 fof(f2397,plain,(
% 40.10/5.47 spl0_149 <=> member(null_class,X0)|~subclass(complement(X0),kind_1_ordinals)),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f2398,plain,(
% 40.10/5.47 ![X0]: (member(null_class,X0)|~subclass(complement(X0),kind_1_ordinals)|~spl0_149)),
% 40.10/5.47 inference(component_clause,[status(thm)],[f2397])).
% 40.10/5.47 fof(f2400,plain,(
% 40.10/5.47 ![X0,X1]: (member(null_class,X0)|~member(null_class,X1)|~subclass(complement(X0),kind_1_ordinals)|~spl0_17)),
% 40.10/5.47 inference(resolution,[status(thm)],[f458,f721])).
% 40.10/5.47 fof(f2401,plain,(
% 40.10/5.47 spl0_149|spl0_51|~spl0_17),
% 40.10/5.47 inference(split_clause,[status(thm)],[f2400,f2397,f949,f601])).
% 40.10/5.47 fof(f2700,plain,(
% 40.10/5.47 ![X0,X1]: (member(null_class,intersection(complement(X0),complement(X1)))|~subclass(union(X0,X1),kind_1_ordinals)|~spl0_149)),
% 40.10/5.47 inference(paramodulation,[status(thm)],[f194,f2398])).
% 40.10/5.47 fof(f4748,plain,(
% 40.10/5.47 spl0_305 <=> member(null_class,intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f4749,plain,(
% 40.10/5.47 member(null_class,intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))|~spl0_305),
% 40.10/5.47 inference(component_clause,[status(thm)],[f4748])).
% 40.10/5.47 fof(f4751,plain,(
% 40.10/5.47 spl0_306 <=> subclass(kind_1_ordinals,kind_1_ordinals)),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f4753,plain,(
% 40.10/5.47 ~subclass(kind_1_ordinals,kind_1_ordinals)|spl0_306),
% 40.10/5.47 inference(component_clause,[status(thm)],[f4751])).
% 40.10/5.47 fof(f4754,plain,(
% 40.10/5.47 member(null_class,intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))|~subclass(kind_1_ordinals,kind_1_ordinals)|~spl0_149),
% 40.10/5.47 inference(paramodulation,[status(thm)],[f322,f2700])).
% 40.10/5.47 fof(f4755,plain,(
% 40.10/5.47 spl0_305|~spl0_306|~spl0_149),
% 40.10/5.47 inference(split_clause,[status(thm)],[f4754,f4748,f4751,f2397])).
% 40.10/5.47 fof(f4757,plain,(
% 40.10/5.47 $false|spl0_306),
% 40.10/5.47 inference(forward_subsumption_resolution,[status(thm)],[f4753,f348])).
% 40.10/5.47 fof(f4758,plain,(
% 40.10/5.47 spl0_306),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f4757])).
% 40.10/5.47 fof(f5185,plain,(
% 40.10/5.47 member(null_class,complement(singleton(null_class)))|~spl0_305),
% 40.10/5.47 inference(resolution,[status(thm)],[f4749,f188])).
% 40.10/5.47 fof(f5187,plain,(
% 40.10/5.47 ~member(null_class,singleton(null_class))|~spl0_305),
% 40.10/5.47 inference(resolution,[status(thm)],[f5185,f192])).
% 40.10/5.47 fof(f6686,plain,(
% 40.10/5.47 member(null_class,omega)),
% 40.10/5.47 inference(resolution,[status(thm)],[f218,f215])).
% 40.10/5.47 fof(f6901,plain,(
% 40.10/5.47 spl0_358 <=> limit_ordinals=limit_ordinals),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f6903,plain,(
% 40.10/5.47 ~limit_ordinals=limit_ordinals|spl0_358),
% 40.10/5.47 inference(component_clause,[status(thm)],[f6901])).
% 40.10/5.47 fof(f6906,plain,(
% 40.10/5.47 $false|spl0_358),
% 40.10/5.47 inference(trivial_equality_resolution,[status(esa)],[f6903])).
% 40.10/5.47 fof(f6907,plain,(
% 40.10/5.47 spl0_358),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f6906])).
% 40.10/5.47 fof(f6911,plain,(
% 40.10/5.47 spl0_359 <=> ordinal_numbers=ordinal_numbers),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f6913,plain,(
% 40.10/5.47 ~ordinal_numbers=ordinal_numbers|spl0_359),
% 40.10/5.47 inference(component_clause,[status(thm)],[f6911])).
% 40.10/5.47 fof(f6916,plain,(
% 40.10/5.47 $false|spl0_359),
% 40.10/5.47 inference(trivial_equality_resolution,[status(esa)],[f6913])).
% 40.10/5.47 fof(f6917,plain,(
% 40.10/5.47 spl0_359),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f6916])).
% 40.10/5.47 fof(f8019,plain,(
% 40.10/5.47 $false|spl0_112),
% 40.10/5.47 inference(forward_subsumption_resolution,[status(thm)],[f2018,f6686])).
% 40.10/5.47 fof(f8020,plain,(
% 40.10/5.47 spl0_112),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f8019])).
% 40.10/5.47 fof(f8622,plain,(
% 40.10/5.47 ![X0]: (~member(X0,limit_ordinals)|member(X0,ordinal_numbers))),
% 40.10/5.47 inference(paramodulation,[status(thm)],[f323,f190])).
% 40.10/5.47 fof(f10002,plain,(
% 40.10/5.47 spl0_425 <=> universal_class=universal_class),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f10004,plain,(
% 40.10/5.47 ~universal_class=universal_class|spl0_425),
% 40.10/5.47 inference(component_clause,[status(thm)],[f10002])).
% 40.10/5.47 fof(f10778,plain,(
% 40.10/5.47 member(null_class,ordinal_numbers)),
% 40.10/5.47 inference(resolution,[status(thm)],[f8622,f347])).
% 40.10/5.47 fof(f10936,plain,(
% 40.10/5.47 spl0_460 <=> subclass(sum_class(null_class),null_class)),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f10938,plain,(
% 40.10/5.47 ~subclass(sum_class(null_class),null_class)|spl0_460),
% 40.10/5.47 inference(component_clause,[status(thm)],[f10936])).
% 40.10/5.47 fof(f10947,plain,(
% 40.10/5.47 spl0_461 <=> subclass(sum_class(universal_class),universal_class)),
% 40.10/5.47 introduced(split_symbol_definition)).
% 40.10/5.47 fof(f10949,plain,(
% 40.10/5.47 ~subclass(sum_class(universal_class),universal_class)|spl0_461),
% 40.10/5.47 inference(component_clause,[status(thm)],[f10947])).
% 40.10/5.47 fof(f10960,plain,(
% 40.10/5.47 $false|spl0_461),
% 40.10/5.47 inference(forward_subsumption_resolution,[status(thm)],[f10949,f164])).
% 40.10/5.47 fof(f10961,plain,(
% 40.10/5.47 spl0_461),
% 40.10/5.47 inference(contradiction_clause,[status(thm)],[f10960])).
% 40.10/5.47 fof(f11387,plain,(
% 40.10/5.47 ![X0]: (~subclass(X0,singleton(null_class))|~member(null_class,X0)|~spl0_305)),
% 40.10/5.47 inference(resolution,[status(thm)],[f5187,f161])).
% 40.10/5.47 fof(f11567,plain,(
% 40.10/5.47 $false|spl0_425),
% 40.10/5.47 inference(trivial_equality_resolution,[status(esa)],[f10004])).
% 40.52/5.50 fof(f11568,plain,(
% 40.52/5.50 spl0_425),
% 40.52/5.50 inference(contradiction_clause,[status(thm)],[f11567])).
% 40.52/5.50 fof(f11594,plain,(
% 40.52/5.50 subclass(sum_class(null_class),null_class)),
% 40.52/5.50 inference(resolution,[status(thm)],[f10778,f319])).
% 40.52/5.50 fof(f12216,plain,(
% 40.52/5.50 $false|spl0_460),
% 40.52/5.50 inference(forward_subsumption_resolution,[status(thm)],[f10938,f11594])).
% 40.52/5.50 fof(f12217,plain,(
% 40.52/5.50 spl0_460),
% 40.52/5.50 inference(contradiction_clause,[status(thm)],[f12216])).
% 40.52/5.50 fof(f13639,plain,(
% 40.52/5.50 spl0_560 <=> subclass(element_relation,element_relation)),
% 40.52/5.50 introduced(split_symbol_definition)).
% 40.52/5.50 fof(f13641,plain,(
% 40.52/5.50 ~subclass(element_relation,element_relation)|spl0_560),
% 40.52/5.50 inference(component_clause,[status(thm)],[f13639])).
% 40.52/5.50 fof(f13646,plain,(
% 40.52/5.50 $false|spl0_560),
% 40.52/5.50 inference(forward_subsumption_resolution,[status(thm)],[f13641,f348])).
% 40.52/5.50 fof(f13647,plain,(
% 40.52/5.50 spl0_560),
% 40.52/5.50 inference(contradiction_clause,[status(thm)],[f13646])).
% 40.52/5.50 fof(f14665,plain,(
% 40.52/5.50 spl0_585 <=> member(subset_relation,X0)),
% 40.52/5.50 introduced(split_symbol_definition)).
% 40.52/5.50 fof(f14666,plain,(
% 40.52/5.50 ![X0]: (member(subset_relation,X0)|~spl0_585)),
% 40.52/5.50 inference(component_clause,[status(thm)],[f14665])).
% 40.52/5.50 fof(f14695,plain,(
% 40.52/5.50 ![X0]: (~member(subset_relation,X0)|~spl0_585)),
% 40.52/5.50 inference(resolution,[status(thm)],[f14666,f192])).
% 40.52/5.50 fof(f14696,plain,(
% 40.52/5.50 $false|~spl0_585),
% 40.52/5.50 inference(forward_subsumption_resolution,[status(thm)],[f14695,f14666])).
% 40.52/5.50 fof(f14697,plain,(
% 40.52/5.50 ~spl0_585),
% 40.52/5.50 inference(contradiction_clause,[status(thm)],[f14696])).
% 40.52/5.50 fof(f15821,plain,(
% 40.52/5.50 ~member(null_class,singleton(null_class))|~spl0_305),
% 40.52/5.50 inference(resolution,[status(thm)],[f11387,f348])).
% 40.52/5.50 fof(f15885,plain,(
% 40.52/5.50 spl0_609 <=> subclass(domain_of(sum_class(universal_class)),domain_of(sum_class(universal_class)))),
% 40.52/5.50 introduced(split_symbol_definition)).
% 40.52/5.50 fof(f15887,plain,(
% 40.52/5.50 ~subclass(domain_of(sum_class(universal_class)),domain_of(sum_class(universal_class)))|spl0_609),
% 40.52/5.50 inference(component_clause,[status(thm)],[f15885])).
% 40.52/5.50 fof(f15902,plain,(
% 40.52/5.50 $false|spl0_609),
% 40.52/5.50 inference(forward_subsumption_resolution,[status(thm)],[f15887,f348])).
% 40.52/5.50 fof(f15903,plain,(
% 40.52/5.50 spl0_609),
% 40.52/5.50 inference(contradiction_clause,[status(thm)],[f15902])).
% 40.52/5.50 fof(f16250,plain,(
% 40.52/5.50 spl0_618 <=> subclass(domain_of(domain_of(subset_relation)),domain_of(domain_of(subset_relation)))),
% 40.52/5.50 introduced(split_symbol_definition)).
% 40.52/5.50 fof(f16252,plain,(
% 40.52/5.50 ~subclass(domain_of(domain_of(subset_relation)),domain_of(domain_of(subset_relation)))|spl0_618),
% 40.52/5.50 inference(component_clause,[status(thm)],[f16250])).
% 40.52/5.50 fof(f16267,plain,(
% 40.52/5.50 $false|spl0_618),
% 40.52/5.50 inference(forward_subsumption_resolution,[status(thm)],[f16252,f348])).
% 40.52/5.50 fof(f16268,plain,(
% 40.52/5.50 spl0_618),
% 40.52/5.50 inference(contradiction_clause,[status(thm)],[f16267])).
% 40.52/5.50 fof(f16424,plain,(
% 40.52/5.50 ![X0,X1,X2]: (member(X0,unordered_pair(X0,X1))|~member(X0,X2))),
% 40.52/5.50 inference(resolution,[status(thm)],[f171,f2356])).
% 40.52/5.50 fof(f16438,plain,(
% 40.52/5.50 ![X0,X1]: (member(X0,singleton(X0))|~member(X0,X1))),
% 40.52/5.50 inference(paramodulation,[status(thm)],[f175,f16424])).
% 40.52/5.50 fof(f17846,plain,(
% 40.52/5.50 ![X0]: (~member(null_class,X0)|~spl0_305)),
% 40.52/5.50 inference(resolution,[status(thm)],[f15821,f16438])).
% 40.52/5.50 fof(f17847,plain,(
% 40.52/5.50 spl0_51|~spl0_305),
% 40.52/5.50 inference(split_clause,[status(thm)],[f17846,f949,f4748])).
% 40.52/5.50 fof(f17849,plain,(
% 40.52/5.50 $false),
% 40.52/5.50 inference(sat_refutation,[status(thm)],[f719,f1506,f2401,f4755,f4758,f6907,f6917,f8020,f10961,f11568,f12217,f13647,f14697,f15903,f16268,f17847])).
% 40.52/5.50 % SZS output end CNFRefutation for theBenchmark.p
% 41.08/5.93 % Elapsed time: 5.576046 seconds
% 41.08/5.93 % CPU time: 41.015366 seconds
% 41.08/5.93 % Total memory used: 251.208 MB
% 41.08/5.93 % Net memory used: 241.788 MB
%------------------------------------------------------------------------------