%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 : Mon Jul 18 09:42:14 EDT 2022

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   28 (  17 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   24 (  11   ~;   6   |;   5   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    xQ != slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mCardEmpty,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ( sbrdtbr0(X1) = sz00
      <=> X1 = slcrc0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).

fof(m__2291,hypothesis,
    ( aSet0(xQ)
    & isFinite0(xQ)
    & sbrdtbr0(xQ) = xk ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).

fof(m__2202_02,hypothesis,
    ( aSet0(xS)
    & aSet0(xT)
    & xk != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

fof(c_0_4,negated_conjecture,
    ~ ( xQ != slcrc0 ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,negated_conjecture,
    xQ = slcrc0,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X74] :
      ( ( sbrdtbr0(X74) != sz00
        | X74 = slcrc0
        | ~ aSet0(X74) )
      & ( X74 != slcrc0
        | sbrdtbr0(X74) = sz00
        | ~ aSet0(X74) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).

cnf(c_0_7,hypothesis,
    sbrdtbr0(xQ) = xk,
    inference(split_conjunct,[status(thm)],[m__2291]) ).

cnf(c_0_8,negated_conjecture,
    xQ = slcrc0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    aSet0(xQ),
    inference(split_conjunct,[status(thm)],[m__2291]) ).

cnf(c_0_10,plain,
    ( sbrdtbr0(X1) = sz00
    | X1 != slcrc0
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    sbrdtbr0(slcrc0) = xk,
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,hypothesis,
    aSet0(slcrc0),
    inference(rw,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_13,hypothesis,
    xk != sz00,
    inference(split_conjunct,[status(thm)],[m__2202_02]) ).

cnf(c_0_14,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_10]),c_0_11]),c_0_12])]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 20:03:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.12/0.37  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  
% 0.12/0.37  # Proof found!
% 0.12/0.37  # SZS status Theorem
% 0.12/0.37  # SZS output start CNFRefutation
% See solution above
% 0.12/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------