%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM066-1 : 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 13:58:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    well_ordering(element_relation,y),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_1)]) ).

cnf(g1,plain,
    subclass(u,y),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_2)]) ).

cnf(g2,plain,
    member(v,u),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_3)]) ).

cnf(g3,plain,
    member(v,least(element_relation,u)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_well_ordering_property1_4)]) ).

cnf(g4,plain,
    ( ~ member(v,least(element_relation,u))
    | ~ member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class))
    | member(ordered_pair(v,least(element_relation,u)),element_relation) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',element_relation3)]) ).

cnf(g5,plain,
    ( ~ subclass(u,y)
    | ~ member(v,u)
    | ~ well_ordering(element_relation,y)
    | member(least(element_relation,u),u) ),
    inference(ground_cnf,[],[file('Axioms/NUM004-0.ax',well_ordering3)]) ).

cnf(g6,plain,
    ( ~ subclass(u,universal_class)
    | ~ member(v,u)
    | member(v,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g7,plain,
    subclass(u,universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g8,plain,
    ( ~ member(v,universal_class)
    | ~ member(least(element_relation,u),universal_class)
    | member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).

cnf(g9,plain,
    ( ~ subclass(u,y)
    | ~ member(v,u)
    | ~ member(ordered_pair(v,least(element_relation,u)),element_relation)
    | ~ well_ordering(element_relation,y) ),
    inference(ground_cnf,[],[file('Axioms/NUM004-0.ax',well_ordering5)]) ).

cnf(g10,plain,
    ( ~ subclass(u,universal_class)
    | ~ member(least(element_relation,u),u)
    | member(least(element_relation,u),universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM066-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % 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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 18:00:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.42  % symbols: 83
% 0.19/0.42  % clauses: 225
% 0.19/0.42  % start clauses: 4
% 0.19/0.42  % iterative deepening steps: 191
% 0.19/0.42  % maximum path limit: 2
% 0.19/0.42  % literal attempts: 116863
% 0.19/0.42  % depth failures: 96017
% 0.19/0.42  % regularity failures: 2578
% 0.19/0.42  % tautology failures: 408
% 0.19/0.42  % reductions: 8162
% 0.19/0.42  % extensions: 108158
% 0.19/0.43  % SAT variables: 11176
% 0.19/0.43  % SAT clauses: 10869
% 0.19/0.43  % WalkSAT solutions: 10868
% 0.19/0.43  % CDCL solutions: 0
% 0.19/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.43  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------