TSTP Solution File: NUM519+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM519+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 : 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 09:41:54 EDT 2022

% Result   : Unknown 0.13s 0.38s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2487,hypothesis,
    ~ doDivides0(xr,xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).

fof(m__2698,hypothesis,
    ~ doDivides0(xr,xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).

fof(m__2449,hypothesis,
    ( doDivides0(xr,xn)
    | doDivides0(xr,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).

fof(c_0_3,hypothesis,
    ~ doDivides0(xr,xn),
    inference(fof_simplification,[status(thm)],[m__2487]) ).

fof(c_0_4,hypothesis,
    ~ doDivides0(xr,xm),
    inference(fof_simplification,[status(thm)],[m__2698]) ).

cnf(c_0_5,hypothesis,
    ( doDivides0(xr,xn)
    | doDivides0(xr,xm) ),
    inference(split_conjunct,[status(thm)],[m__2449]) ).

cnf(c_0_6,hypothesis,
    ~ doDivides0(xr,xn),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,hypothesis,
    ~ doDivides0(xr,xm),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM519+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % 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 : n020.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 : Thu Jul  7 05:29:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.13/0.38  # and selection function SelectCQArNTNpEqFirst.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  
% 0.13/0.38  # Proof found!
% 0.13/0.38  # SZS status ContradictoryAxioms
% 0.13/0.38  # SZS output start CNFRefutation
% See solution above
% 0.13/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------