%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n027.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 : Thu Jul 21 06:15:01 EDT 2022

% Result   : Theorem 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :    9 (   3   ~;   0   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   10 (   0 sgn   4   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ! [X1] :
      ? [X2] :
        ( a(X1,X2)
        & a(X2,X2) )
   => ? [X3] : a(X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1] :
        ? [X2] :
          ( a(X1,X2)
          & a(X2,X2) )
     => ? [X3] : a(X3,X3) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X4,X6] :
      ( a(X4,esk1_1(X4))
      & a(esk1_1(X4),esk1_1(X4))
      & ~ a(X6,X6) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    a(esk1_1(X1),esk1_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ~ a(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_3,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 14:05:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.37  # No SInE strategy applied
% 0.20/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.37  #
% 0.20/0.37  # Presaturation interreduction done
% 0.20/0.37  
% 0.20/0.37  # Proof found!
% 0.20/0.37  # SZS status Theorem
% 0.20/0.37  # SZS output start CNFRefutation
% See solution above
% 0.20/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------