%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM156-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %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  : 600s
% DateTime : Mon Jul 18 13:59:00 EDT 2022

% Result   : Unsatisfiable 4.78s 1.01s
% Output   : Proof 4.78s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ member(null_class,kind_1_ordinals),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_kind_1_1)]) ).

cnf(g1,plain,
    ( ~ member(null_class,universal_class)
    | member(null_class,unordered_pair(null_class,null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).

cnf(g2,plain,
    sPE(null_class,null_class),
    inference(ground_cnf,[],[theory(equality)]) ).

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,
    sPE(unordered_pair(null_class,null_class),singleton(null_class)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).

cnf(g5,plain,
    ( ~ subclass(omega,universal_class)
    | ~ member(null_class,omega)
    | member(null_class,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g6,plain,
    subclass(omega,universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g7,plain,
    inductive(omega),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',omega_is_inductive1)]) ).

cnf(g8,plain,
    ( ~ inductive(omega)
    | member(null_class,omega) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',inductive1)]) ).

cnf(g9,plain,
    ( ~ sPE(null_class,null_class)
    | ~ sPE(complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))),kind_1_ordinals)
    | ~ member(null_class,complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers)))))
    | member(null_class,kind_1_ordinals) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,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(g11,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(g12,plain,
    ( ~ member(null_class,universal_class)
    | member(null_class,intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))
    | member(null_class,complement(intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g13,plain,
    ( ~ member(null_class,intersection(complement(singleton(null_class)),complement(image(successor_relation,ordinal_numbers))))
    | member(null_class,complement(singleton(null_class))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g14,plain,
    ( ~ member(null_class,singleton(null_class))
    | ~ member(null_class,complement(singleton(null_class))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g15,plain,
    ( ~ sPE(null_class,null_class)
    | ~ sPE(unordered_pair(null_class,null_class),singleton(null_class))
    | ~ member(null_class,unordered_pair(null_class,null_class))
    | member(null_class,singleton(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM156-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n029.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  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 02:40:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.78/1.01  % symbols: 80
% 4.78/1.01  % clauses: 222
% 4.78/1.01  % start clauses: 1
% 4.78/1.01  % iterative deepening steps: 1777
% 4.78/1.01  % maximum path limit: 4
% 4.78/1.01  % literal attempts: 957878
% 4.78/1.01  % depth failures: 788935
% 4.78/1.01  % regularity failures: 35468
% 4.78/1.01  % tautology failures: 12010
% 4.78/1.01  % reductions: 30350
% 4.78/1.01  % extensions: 927162
% 4.78/1.01  % SAT variables: 227650
% 4.78/1.01  % SAT clauses: 248603
% 4.78/1.01  % WalkSAT solutions: 248595
% 4.78/1.01  % CDCL solutions: 8
% 4.78/1.01  % SZS status Unsatisfiable for theBenchmark
% 4.78/1.01  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------