TSTP Solution File: NUM490+3 by Etableau---0.67

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM490+3 : 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 : 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 : Mon Jul 18 09:41:35 EDT 2022

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
    | sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__1951,hypothesis,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1951) ).

fof(c_0_2,negated_conjecture,
    ~ ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
      | sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm)
    & sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    inference(fof_nnf,[status(thm)],[c_0_2]) ).

cnf(c_0_4,hypothesis,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    inference(split_conjunct,[status(thm)],[m__1951]) ).

cnf(c_0_5,negated_conjecture,
    sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_4,c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM490+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 19:26:29 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.38  # No SInE strategy applied
% 0.19/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.19/0.38  # and selection function SelectUnlessUniqMax.
% 0.19/0.38  #
% 0.19/0.38  # Presaturation interreduction done
% 0.19/0.38  
% 0.19/0.38  # Proof found!
% 0.19/0.38  # SZS status Theorem
% 0.19/0.38  # SZS output start CNFRefutation
% See solution above
% 0.19/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------