%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN986+1.000 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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 : Thu Jul 21 09:12:39 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   1 sgn   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(hyp1,axiom,
    ! [Y] : r(Y,zero,succ(Y)) ).

fof(ck,conjecture,
    ? [Z0] : r(zero,zero,Z0) ).

fof(subgoal_0,plain,
    ? [Z0] : r(zero,zero,Z0),
    inference(strip,[],[ck]) ).

fof(negate_0_0,plain,
    ~ ? [Z0] : r(zero,zero,Z0),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [Z0] : ~ r(zero,zero,Z0),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [Z0] : ~ r(zero,zero,Z0),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [Y] : r(Y,zero,succ(Y)),
    inference(canonicalize,[],[hyp1]) ).

fof(normalize_0_3,plain,
    ! [Y] : r(Y,zero,succ(Y)),
    inference(specialize,[],[normalize_0_2]) ).

cnf(refute_0_0,plain,
    ~ r(zero,zero,Z0),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ~ r(zero,zero,succ(zero)),
    inference(subst,[],[refute_0_0:[bind(Z0,$fot(succ(zero)))]]) ).

cnf(refute_0_2,plain,
    r(Y,zero,succ(Y)),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_3,plain,
    r(zero,zero,succ(zero)),
    inference(subst,[],[refute_0_2:[bind(Y,$fot(zero))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( r(zero,zero,succ(zero)) )],[refute_0_3,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN986+1.000 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n020.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 : Tue Jul 12 07:57:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------