%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM632+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 12:28:24 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  15 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5321,hypothesis,
    sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) ).

fof(m__5568,hypothesis,
    sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn) ).

fof(m__,conjecture,
    sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ).

fof(subgoal_0,plain,
    sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
    inference(canonicalize,[],[m__5568]) ).

fof(normalize_0_2,plain,
    sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
    inference(canonicalize,[],[m__5321]) ).

cnf(refute_0_0,plain,
    sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_2,plain,
    sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_3,plain,
    ( sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn)
    | sdtlpdtrp0(xd,xn) != szDzizrdt0(xd)
    | sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) ),[0],$fot(sdtlpdtrp0(xd,xn))]]) ).

cnf(refute_0_4,plain,
    ( sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn)
    | sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
    inference(resolve,[$cnf( $equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd)) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
    inference(resolve,[$cnf( $equal(sdtlpdtrp0(xc,xQ),sdtlpdtrp0(xd,xn)) )],[refute_0_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd)
    | szDzizrdt0(xd) != szDzizrdt0(xd)
    | sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) ),[0],$fot(szDzizrdt0(xd))]]) ).

cnf(refute_0_7,plain,
    ( szDzizrdt0(xd) != szDzizrdt0(xd)
    | sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ),
    inference(resolve,[$cnf( $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    szDzizrdt0(xd) != szDzizrdt0(xd),
    inference(resolve,[$cnf( $equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) )],[refute_0_7,refute_0_0]) ).

cnf(refute_0_9,plain,
    szDzizrdt0(xd) = szDzizrdt0(xd),
    introduced(tautology,[refl,[$fot(szDzizrdt0(xd))]]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( $equal(szDzizrdt0(xd),szDzizrdt0(xd)) )],[refute_0_9,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM632+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n021.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 16:44:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  
% 0.19/0.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------