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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SET063-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n023.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 : Fri Jul 25 03:31:22 PM UTC 2025

% Result   : Unsatisfiable 93.69s 12.12s
% Output   : CNFRefutation 93.69s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_of_null_class_is_subclass_1)

% Comments : 
%------------------------------------------------------------------------------
cnf(91,plain,
    subclass(x,null_class),
    inference(cnf,[status(esa)],[prove_corollary_of_null_class_is_subclass_1]) ).

cnf(l0,plain,
    subclass(x,null_class),
    inference(instantiation,[status(thm)],[91]) ).

cnf(6,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | X0 = X1 ),
    inference(cnf,[status(esa)],[subclass_implies_equal]) ).

cnf(l1,plain,
    ( ~ subclass(x,null_class)
    | ~ subclass(null_class,x)
    | x = null_class ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(65,plain,
    ( member(regular(X0),X0)
    | X0 = null_class ),
    inference(cnf,[status(esa)],[regularity1]) ).

cnf(l130,plain,
    ( member(regular(complement(universal_class)),complement(universal_class))
    | complement(universal_class) = null_class ),
    inference(instantiation,[status(thm)],[65]) ).

cnf(1,plain,
    ( subclass(X0,X1)
    | member(not_subclass_element(X0,X1),X0) ),
    inference(cnf,[status(esa)],[not_subclass_members1]) ).

cnf(l233,plain,
    ( subclass(complement(universal_class),x)
    | member(not_subclass_element(complement(universal_class),x),complement(universal_class)) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(0,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    inference(cnf,[status(esa)],[subclass_members]) ).

cnf(l266,plain,
    ( ~ subclass(complement(universal_class),universal_class)
    | ~ member(not_subclass_element(complement(universal_class),x),complement(universal_class))
    | member(not_subclass_element(complement(universal_class),x),universal_class) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(23,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,complement(X1)) ),
    inference(cnf,[status(esa)],[complement1]) ).

cnf(l272,plain,
    ( ~ member(not_subclass_element(complement(universal_class),x),universal_class)
    | ~ member(not_subclass_element(complement(universal_class),x),complement(universal_class)) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l140,plain,
    ( ~ subclass(complement(universal_class),universal_class)
    | ~ member(regular(complement(universal_class)),complement(universal_class))
    | member(regular(complement(universal_class)),universal_class) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l147,plain,
    ( ~ member(regular(complement(universal_class)),universal_class)
    | ~ member(regular(complement(universal_class)),complement(universal_class)) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(3,plain,
    subclass(X0,universal_class),
    inference(cnf,[status(esa)],[class_elements_are_sets]) ).

cnf(l150,plain,
    subclass(complement(universal_class),universal_class),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l271,plain,
    subclass(complement(universal_class),universal_class),
    inference(instantiation,[status(thm)],[3]) ).

cnf(92,plain,
    x != null_class,
    inference(cnf,[status(esa)],[prove_corollary_of_null_class_is_subclass_2]) ).

cnf(l5,plain,
    x != null_class,
    inference(instantiation,[status(thm)],[92]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l130,l233,l266,l272,l140,l147,l150,l271,l5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET063-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.08/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon Jul 21 19:38:04 EDT 2025
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  % launching worker at depth: 1
% 0.12/0.33  % launching worker at depth: 7
% 0.12/0.33  % launching worker at depth: 4
% 0.12/0.33  % launching worker at depth: 2
% 0.12/0.33  % launching worker at depth: 3
% 0.12/0.33  % launching worker at depth: 6
% 0.12/0.33  % launching worker at depth: 8
% 0.12/0.33  % launching worker at depth: 5
% 0.12/0.33  % launching worker at depth: 9
% 0.12/0.34  % launching worker at depth: 10
% 0.18/0.42  % launching worker at depth: 11
% 13.28/2.03  % launching worker at depth: 12
% 93.69/12.12  % SZS status Theorem for theBenchmark
% 93.69/12.12  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------