%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : FLD056-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 : Sat Jul 16 02:19:35 EDT 2022

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   1 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(totality_of_order_relation,axiom,
    ( less_or_equal(X,Y)
    | less_or_equal(Y,X)
    | ~ defined(X)
    | ~ defined(Y) ) ).

cnf(a_is_defined,hypothesis,
    defined(a) ).

cnf(not_less_or_equal_2,negated_conjecture,
    ~ less_or_equal(a,a) ).

cnf(refute_0_0,plain,
    ( ~ defined(a)
    | less_or_equal(a,a) ),
    inference(subst,[],[totality_of_order_relation:[bind(X,$fot(a)),bind(Y,$fot(a))]]) ).

cnf(refute_0_1,plain,
    less_or_equal(a,a),
    inference(resolve,[$cnf( defined(a) )],[a_is_defined,refute_0_0]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( less_or_equal(a,a) )],[refute_0_1,not_less_or_equal_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : FLD056-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun  6 21:57:32 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42  
% 0.22/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.43  
%------------------------------------------------------------------------------