TSTP Solution File: NUM159-1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : NUM159-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n008.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 : 600s
% DateTime : Mon Jul 18 13:59:01 EDT 2022
% Result : Unsatisfiable 3.12s 0.85s
% Output : Proof 3.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_kind_1_ordinal_1)]) ).
cnf(g1,plain,
( ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),kind_1_ordinals)
| subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g2,plain,
( subclass(image(successor_relation,ordinal_numbers),kind_1_ordinals)
| member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),image(successor_relation,ordinal_numbers)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g3,plain,
sPE(union(singleton(null_class),image(successor_relation,ordinal_numbers)),kind_1_ordinals),
inference(ground_cnf,[],[file('Axioms/NUM004-0.ax',kind_1_ordinals)]) ).
cnf(g4,plain,
( ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),image(successor_relation,ordinal_numbers))
| ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),complement(image(successor_relation,ordinal_numbers))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g5,plain,
subclass(image(successor_relation,ordinal_numbers),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g6,plain,
sPE(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ subclass(image(successor_relation,ordinal_numbers),universal_class)
| ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),image(successor_relation,ordinal_numbers))
| member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g8,plain,
( ~ sPE(complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))),union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| ~ sPE(union(singleton(null_class),image(successor_relation,ordinal_numbers)),kind_1_ordinals)
| sPE(complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))),kind_1_ordinals) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))),union(singleton(null_class),image(successor_relation,ordinal_numbers))),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).
cnf(g10,plain,
( ~ sPE(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals))
| ~ sPE(complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))),kind_1_ordinals)
| ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))))
| member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),kind_1_ordinals) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),universal_class)
| member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))
| member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g12,plain,
( ~ member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))
| member(not_subclass_element(image(successor_relation,ordinal_numbers),kind_1_ordinals),complement(image(successor_relation,ordinal_numbers))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM159-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n008.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 : 600
% 0.13/0.34 % DateTime : Wed Jul 6 05:42:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.12/0.85 % symbols: 80
% 3.12/0.85 % clauses: 222
% 3.12/0.85 % start clauses: 1
% 3.12/0.85 % iterative deepening steps: 1163
% 3.12/0.85 % maximum path limit: 4
% 3.12/0.85 % literal attempts: 679417
% 3.12/0.85 % depth failures: 540790
% 3.12/0.85 % regularity failures: 27037
% 3.12/0.85 % tautology failures: 14452
% 3.12/0.85 % reductions: 35117
% 3.12/0.85 % extensions: 643833
% 3.12/0.85 % SAT variables: 138766
% 3.12/0.85 % SAT clauses: 157685
% 3.12/0.85 % WalkSAT solutions: 157676
% 3.12/0.85 % CDCL solutions: 8
% 3.12/0.85 % SZS status Unsatisfiable for theBenchmark
% 3.12/0.85 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------