%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN333+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n006.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 06:10:00 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :   42 (  15   ~;  12   |;  11   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   0 con; 2-2 aty)
%            Number of variables   :   18 (   4 sgn   6   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_14_5,conjecture,
    ? [X1,X2] :
    ! [X3] :
      ( big_f(X1,X2)
     => ( big_f(X2,X3)
        & big_f(X3,X3)
        & ( ( big_f(X1,X2)
            & big_g(X1,X2) )
         => ( big_g(X1,X3)
            & big_g(X3,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_5) ).

fof(c_0_1,negated_conjecture,
    ~ ? [X1,X2] :
      ! [X3] :
        ( big_f(X1,X2)
       => ( big_f(X2,X3)
          & big_f(X3,X3)
          & ( ( big_f(X1,X2)
              & big_g(X1,X2) )
           => ( big_g(X1,X3)
              & big_g(X3,X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[church_46_14_5]) ).

fof(c_0_2,negated_conjecture,
    ! [X4,X5,X6,X7] :
      ( big_f(X4,X5)
      & ( big_f(X6,X7)
        | ~ big_f(X7,esk1_2(X6,X7))
        | ~ big_f(esk2_2(X6,X7),esk2_2(X6,X7)) )
      & ( big_g(X6,X7)
        | ~ big_f(X7,esk1_2(X6,X7))
        | ~ big_f(esk2_2(X6,X7),esk2_2(X6,X7)) )
      & ( ~ big_g(X6,esk3_2(X6,X7))
        | ~ big_g(esk4_2(X6,X7),esk4_2(X6,X7))
        | ~ big_f(X7,esk1_2(X6,X7))
        | ~ big_f(esk2_2(X6,X7),esk2_2(X6,X7)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( big_g(X1,X2)
    | ~ big_f(X2,esk1_2(X1,X2))
    | ~ big_f(esk2_2(X1,X2),esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    big_f(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ big_g(X1,esk3_2(X1,X2))
    | ~ big_g(esk4_2(X1,X2),esk4_2(X1,X2))
    | ~ big_f(X2,esk1_2(X1,X2))
    | ~ big_f(esk2_2(X1,X2),esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    big_g(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4])]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_4]),c_0_4])]),c_0_6]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN333+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % 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 : n006.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 : Mon Jul 11 18:29:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  
% 0.12/0.36  # Proof found!
% 0.12/0.36  # SZS status Theorem
% 0.12/0.36  # SZS output start CNFRefutation
% See solution above
% 0.12/0.36  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------