TSTP Solution File: NUM519+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM519+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 12:27:22 EDT 2022

% Result   : Theorem 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   4   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2449,hypothesis,
    ( doDivides0(xr,xn)
    | doDivides0(xr,xm) ) ).

fof(m__2487,hypothesis,
    ~ doDivides0(xr,xn) ).

fof(m__2698,hypothesis,
    ~ doDivides0(xr,xm) ).

fof(m__,conjecture,
    ( doDivides0(xp,xn)
    | doDivides0(xp,xm) ) ).

fof(subgoal_0,plain,
    ( ~ doDivides0(xp,xn)
   => doDivides0(xp,xm) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ( ~ doDivides0(xp,xn)
     => doDivides0(xp,xm) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( doDivides0(xr,xm)
    | doDivides0(xr,xn) ),
    inference(canonicalize,[],[m__2449]) ).

fof(normalize_0_1,plain,
    ~ doDivides0(xr,xm),
    inference(canonicalize,[],[m__2698]) ).

fof(normalize_0_2,plain,
    ~ doDivides0(xr,xn),
    inference(canonicalize,[],[m__2487]) ).

cnf(refute_0_0,plain,
    ( doDivides0(xr,xm)
    | doDivides0(xr,xn) ),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ~ doDivides0(xr,xm),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_2,plain,
    doDivides0(xr,xn),
    inference(resolve,[$cnf( doDivides0(xr,xm) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ~ doDivides0(xr,xn),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( doDivides0(xr,xn) )],[refute_0_2,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM519+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n021.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 : Thu Jul  7 05:23:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.36  
%------------------------------------------------------------------------------