%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 : Sun Jul 17 06:03:42 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   0   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   1 sgn   2   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1330,hypothesis,
    ( aFixedPointOf0(xp,xf)
    & aSupremumOfIn0(xp,xT,xS) ) ).

fof(m__,conjecture,
    ? [W0] : aSupremumOfIn0(W0,xT,xS) ).

fof(subgoal_0,plain,
    ? [W0] : aSupremumOfIn0(W0,xT,xS),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ? [W0] : aSupremumOfIn0(W0,xT,xS),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( aFixedPointOf0(xp,xf)
    & aSupremumOfIn0(xp,xT,xS) ),
    inference(canonicalize,[],[m__1330]) ).

fof(normalize_0_1,plain,
    aSupremumOfIn0(xp,xT,xS),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [W0] : ~ aSupremumOfIn0(W0,xT,xS),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_3,plain,
    ! [W0] : ~ aSupremumOfIn0(W0,xT,xS),
    inference(specialize,[],[normalize_0_2]) ).

cnf(refute_0_0,plain,
    aSupremumOfIn0(xp,xT,xS),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ~ aSupremumOfIn0(W0,xT,xS),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    ~ aSupremumOfIn0(xp,xT,xS),
    inference(subst,[],[refute_0_1:[bind(W0,$fot(xp))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( aSupremumOfIn0(xp,xT,xS) )],[refute_0_0,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.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 : Tue Jun 28 22:42:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37  
%------------------------------------------------------------------------------