%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ITP010+4 : 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 : n018.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 151.24s 151.42s
% Output   : CNFRefutation 151.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   3 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   0   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
    ! [X1,X2,X120,X47] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1,X2,X120,X47] :
        ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47))))
      <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47)))) ),
    inference(assume_negation,[status(cth)],[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
% 0.00/0.12  % Problem  : ITP010+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun  3 09:55:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 151.24/151.42  # No SInE strategy applied
% 151.24/151.42  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 151.24/151.42  # and selection function SelectComplexExceptUniqMaxHorn.
% 151.24/151.42  #
% 151.24/151.42  # Presaturation interreduction done
% 151.24/151.42  
% 151.24/151.42  # Proof found!
% 151.24/151.42  # SZS status Theorem
% 151.24/151.42  # SZS output start CNFRefutation
% See solution above
% 151.24/151.42  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------