TSTP Solution File: NUM159-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------