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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : FLD021-1 : 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 : n032.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 : Thu Jul 24 11:55:17 AM UTC 2025

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named add_not_equal_to_a_4)

% Comments : 
%------------------------------------------------------------------------------
cnf(30,plain,
    ~ equalish(add(m,a),a),
    inference(cnf,[status(esa)],[add_not_equal_to_a_4]) ).

cnf(l0,plain,
    ~ equalish(add(m,a),a),
    inference(instantiation,[status(thm)],[30]) ).

cnf(22,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    inference(cnf,[status(esa)],[transitivity_of_equality]) ).

cnf(l1,plain,
    ( ~ equalish(add(m,a),add(additive_identity,a))
    | ~ equalish(add(additive_identity,a),a)
    | equalish(add(m,a),a) ),
    inference(instantiation,[status(thm)],[22]) ).

cnf(1,plain,
    ( ~ defined(X0)
    | equalish(add(additive_identity,X0),X0) ),
    inference(cnf,[status(esa)],[existence_of_identity_addition]) ).

cnf(l2,plain,
    ( ~ defined(a)
    | equalish(add(additive_identity,a),a) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(23,plain,
    ( ~ defined(X0)
    | ~ equalish(X1,X2)
    | equalish(add(X1,X0),add(X2,X0)) ),
    inference(cnf,[status(esa)],[compatibility_of_equality_and_addition]) ).

cnf(l10,plain,
    ( ~ defined(a)
    | ~ equalish(m,additive_identity)
    | equalish(add(m,a),add(additive_identity,a)) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(29,plain,
    equalish(m,additive_identity),
    inference(cnf,[status(esa)],[m_equals_additive_identity_3]) ).

cnf(l12,plain,
    equalish(m,additive_identity),
    inference(instantiation,[status(thm)],[29]) ).

cnf(27,plain,
    defined(a),
    inference(cnf,[status(esa)],[a_is_defined]) ).

cnf(l11,plain,
    defined(a),
    inference(instantiation,[status(thm)],[27]) ).

cnf(l3,plain,
    defined(a),
    inference(instantiation,[status(thm)],[27]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l10,l12,l11,l3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : FLD021-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.09  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Sun Jul 20 09:36:49 EDT 2025
% 0.09/0.28  % CPUTime  : 
% 0.13/0.28  % launching worker at depth: 1
% 0.13/0.28  % launching worker at depth: 5
% 0.13/0.28  % launching worker at depth: 3
% 0.13/0.28  % launching worker at depth: 4
% 0.13/0.28  % launching worker at depth: 2
% 0.13/0.28  % launching worker at depth: 7
% 0.13/0.28  % launching worker at depth: 6
% 0.13/0.28  % launching worker at depth: 8
% 0.13/0.28  % launching worker at depth: 9
% 0.13/0.29  % launching worker at depth: 10
% 0.13/0.34  % SZS status Theorem for theBenchmark
% 0.13/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------