%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV150+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n009.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 : Wed Jul 20 20:30:17 EDT 2022

% Result   : Theorem 0.41s 0.59s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   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    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(reflexivity_leq,axiom,
    ! [X] : leq(X,X) ).

fof(gauss_array_0020,conjecture,
    ( ~ leq(tptp_float_0_001,tptp_float_0_001)
   => leq(s_worst7,n3) ) ).

fof(subgoal_0,plain,
    ( ~ leq(tptp_float_0_001,tptp_float_0_001)
   => leq(s_worst7,n3) ),
    inference(strip,[],[gauss_array_0020]) ).

fof(negate_0_0,plain,
    ~ ( ~ leq(tptp_float_0_001,tptp_float_0_001)
     => leq(s_worst7,n3) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ leq(s_worst7,n3)
    & ~ leq(tptp_float_0_001,tptp_float_0_001) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ~ leq(tptp_float_0_001,tptp_float_0_001),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X] : leq(X,X),
    inference(canonicalize,[],[reflexivity_leq]) ).

fof(normalize_0_3,plain,
    ! [X] : leq(X,X),
    inference(specialize,[],[normalize_0_2]) ).

cnf(refute_0_0,plain,
    ~ leq(tptp_float_0_001,tptp_float_0_001),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    leq(X,X),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    leq(tptp_float_0_001,tptp_float_0_001),
    inference(subst,[],[refute_0_1:[bind(X,$fot(tptp_float_0_001))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( leq(tptp_float_0_001,tptp_float_0_001) )],[refute_0_2,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWV150+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 21:39:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59  
% 0.41/0.59  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.41/0.59  
%------------------------------------------------------------------------------