%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM489+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 12:27:07 EDT 2022

% Result   : Theorem 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   21 (  18 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   3   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1883,hypothesis,
    ( aNaturalNumber0(xr)
    & sdtpldt0(xp,xr) = xn
    & xr = sdtmndt0(xn,xp) ) ).

fof(m__,conjecture,
    xn = sdtpldt0(xp,xr) ).

fof(subgoal_0,plain,
    xn = sdtpldt0(xp,xr),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    xn != sdtpldt0(xp,xr),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    xn != sdtpldt0(xp,xr),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( sdtpldt0(xp,xr) = xn
    & xr = sdtmndt0(xn,xp)
    & aNaturalNumber0(xr) ),
    inference(canonicalize,[],[m__1883]) ).

fof(normalize_0_2,plain,
    sdtpldt0(xp,xr) = xn,
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    xn != sdtpldt0(xp,xr),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    sdtpldt0(xp,xr) = xn,
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    ( sdtpldt0(xp,xr) != xn
    | xn != xn
    | xn = sdtpldt0(xp,xr) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(xn,sdtpldt0(xp,xr)) ),[1],$fot(xn)]]) ).

cnf(refute_0_3,plain,
    ( xn != xn
    | xn = sdtpldt0(xp,xr) ),
    inference(resolve,[$cnf( $equal(sdtpldt0(xp,xr),xn) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    xn != xn,
    inference(resolve,[$cnf( $equal(xn,sdtpldt0(xp,xr)) )],[refute_0_3,refute_0_0]) ).

cnf(refute_0_5,plain,
    xn = xn,
    introduced(tautology,[refl,[$fot(xn)]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( $equal(xn,xn) )],[refute_0_5,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM489+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n012.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 : Thu Jul  7 13:09:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  
% 0.19/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42  
%------------------------------------------------------------------------------