%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ITP010+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n020.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 22:48:06 EDT 2022

% Result   : Theorem 1.20s 1.41s
% Output   : CNFRefutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   16 (   6   ~;   0   |;   0   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
    ! [X9] :
      ( ne(X9)
     => ! [X11] :
          ( ne(X11)
         => ! [X168] :
              ( mem(X168,arr(X9,bool))
             => ! [X42] :
                  ( mem(X42,arr(X11,bool))
                 => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42))
                  <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X9] :
        ( ne(X9)
       => ! [X11] :
            ( ne(X11)
           => ! [X168] :
                ( mem(X168,arr(X9,bool))
               => ! [X42] :
                    ( mem(X42,arr(X11,bool))
                   => ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42))
                    <=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(X9,X11),X168),X42)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE]) ).

fof(c_0_2,negated_conjecture,
    ~ $true,
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

cnf(c_0_3,negated_conjecture,
    $false,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[c_0_3]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ITP010+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 : Thu Jun  2 23:22:54 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.20/1.41  # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 1.20/1.41  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.20/1.41  # and selection function SelectComplexExceptUniqMaxHorn.
% 1.20/1.41  #
% 1.20/1.41  # Presaturation interreduction done
% 1.20/1.41  
% 1.20/1.41  # Proof found!
% 1.20/1.41  # SZS status Theorem
% 1.20/1.41  # SZS output start CNFRefutation
% See solution above
% 1.20/1.41  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------