%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM417^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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  : 300s
% DateTime : Tue May 21 01:41:47 EDT 2024

% Result   : Theorem 3.37s 0.99s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   30 (  16 unt;  14 typ;   0 def)
%            Number of atoms       :   28 (  19 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives : 20206 (   6   ~;   0   |;   0   &;20200   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :  145 ( 145   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   2 con; 0-4 aty)
%            Number of variables   :   66 (  66   ^   0   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    zero: ( $i > $i ) > $i > $i ).

thf(func_def_1,type,
    one: ( $i > $i ) > $i > $i ).

thf(func_def_2,type,
    two: ( $i > $i ) > $i > $i ).

thf(func_def_3,type,
    three: ( $i > $i ) > $i > $i ).

thf(func_def_4,type,
    four: ( $i > $i ) > $i > $i ).

thf(func_def_5,type,
    five: ( $i > $i ) > $i > $i ).

thf(func_def_6,type,
    six: ( $i > $i ) > $i > $i ).

thf(func_def_7,type,
    seven: ( $i > $i ) > $i > $i ).

thf(func_def_8,type,
    eight: ( $i > $i ) > $i > $i ).

thf(func_def_9,type,
    nine: ( $i > $i ) > $i > $i ).

thf(func_def_10,type,
    ten: ( $i > $i ) > $i > $i ).

thf(func_def_11,type,
    succ: ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).

thf(func_def_12,type,
    plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).

thf(func_def_13,type,
    mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).

thf(f55,plain,
    $false,
    inference(trivial_inequality_removal,[],[f54]) ).

thf(f54,plain,
    $false = $true,
    inference(boolean_simplification,[],[f53]) ).

thf(f53,plain,
    ( ~ $true = $true ),
    inference(boolean_simplification,[],[f52]) ).

thf(f52,plain,
    ( ( ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
     != ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ 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( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ 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( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) 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) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f51]) ).

thf(f51,plain,
    ( ( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
        @ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
          @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
          @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) )
        @ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
          @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
          @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) )
     != ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
        @ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
          @ ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
            @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
            @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) )
          @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) )
        @ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f49,f50,f50,f41,f41,f50,f41,f41,f50,f50,f50,f41,f41,f41,f41]) ).

thf(f41,plain,
    ( ten
    = ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f29]) ).

thf(f29,plain,
    ( ten
    = ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f11]) ).

thf(f11,axiom,
    ( ten
    = ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ten_ax) ).

thf(f50,plain,
    ( mult
    = ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ( mult
    = ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
    inference(fool_elimination,[],[f24]) ).

thf(f24,plain,
    ( mult
    = ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) ) ),
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    ( mult
    = ( ^ [X3: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X0: $i > $i,X1: $i] : ( X3 @ ( X2 @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mult_ax) ).

thf(f49,plain,
    ( ( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
     != ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) )
    = $true ),
    inference(cnf_transformation,[],[f32]) ).

thf(f32,plain,
    ( ( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
     != ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) )
    = $true ),
    inference(fool_elimination,[],[f16]) ).

thf(f16,negated_conjecture,
    ( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
   != ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
    inference(negated_conjecture,[],[f15]) ).

thf(f15,conjecture,
    ( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
    = ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM417^1 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n004.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
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon May 20 04:33:38 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  This is a TH0_THM_EQU_NAR problem
% 0.12/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  % (25137)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.36  % (25139)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37  % (25142)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.37  % (25136)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.37  % (25138)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37  % (25139)Instruction limit reached!
% 0.12/0.37  % (25139)------------------------------
% 0.12/0.37  % (25139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (25139)Termination reason: Unknown
% 0.12/0.37  % (25139)Termination phase: Property scanning
% 0.12/0.37  
% 0.12/0.37  % (25139)Memory used [KB]: 895
% 0.12/0.37  % (25139)Time elapsed: 0.003 s
% 0.12/0.37  % (25139)Instructions burned: 4 (million)
% 0.12/0.37  % (25139)------------------------------
% 0.12/0.37  % (25139)------------------------------
% 0.12/0.37  % (25141)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37  % (25138)Instruction limit reached!
% 0.12/0.37  % (25138)------------------------------
% 0.12/0.37  % (25138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (25138)Termination reason: Unknown
% 0.12/0.37  % (25138)Termination phase: Function definition elimination
% 0.12/0.37  
% 0.12/0.37  % (25138)Memory used [KB]: 895
% 0.12/0.37  % (25138)Time elapsed: 0.003 s
% 0.12/0.37  % (25138)Instructions burned: 3 (million)
% 0.12/0.37  % (25138)------------------------------
% 0.12/0.37  % (25138)------------------------------
% 0.12/0.37  % (25140)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.37  % (25142)Instruction limit reached!
% 0.12/0.37  % (25142)------------------------------
% 0.12/0.37  % (25142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (25142)Termination reason: Unknown
% 0.12/0.37  % (25142)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (25142)Memory used [KB]: 5500
% 0.12/0.37  % (25142)Time elapsed: 0.003 s
% 0.12/0.37  % (25142)Instructions burned: 5 (million)
% 0.12/0.37  % (25142)------------------------------
% 0.12/0.37  % (25142)------------------------------
% 0.12/0.37  % (25136)Instruction limit reached!
% 0.12/0.37  % (25136)------------------------------
% 0.12/0.37  % (25136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (25136)Termination reason: Unknown
% 0.12/0.37  % (25136)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (25136)Memory used [KB]: 5500
% 0.12/0.37  % (25136)Time elapsed: 0.004 s
% 0.12/0.37  % (25136)Instructions burned: 6 (million)
% 0.12/0.37  % (25136)------------------------------
% 0.12/0.37  % (25136)------------------------------
% 0.12/0.37  % (25135)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37  % (25137)Instruction limit reached!
% 0.12/0.37  % (25137)------------------------------
% 0.12/0.37  % (25137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (25137)Termination reason: Unknown
% 0.12/0.37  % (25137)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (25137)Memory used [KB]: 5628
% 0.12/0.37  % (25137)Time elapsed: 0.009 s
% 0.12/0.37  % (25137)Instructions burned: 28 (million)
% 0.12/0.37  % (25137)------------------------------
% 0.12/0.37  % (25137)------------------------------
% 0.12/0.37  % (25141)Instruction limit reached!
% 0.12/0.37  % (25141)------------------------------
% 0.12/0.37  % (25141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (25141)Termination reason: Unknown
% 0.12/0.37  % (25141)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (25141)Memory used [KB]: 5500
% 0.12/0.37  % (25141)Time elapsed: 0.008 s
% 0.12/0.37  % (25141)Instructions burned: 21 (million)
% 0.12/0.37  % (25141)------------------------------
% 0.12/0.37  % (25141)------------------------------
% 0.12/0.38  % (25145)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.38  % (25144)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.12/0.38  % (25145)Instruction limit reached!
% 0.12/0.38  % (25145)------------------------------
% 0.12/0.38  % (25145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (25145)Termination reason: Unknown
% 0.12/0.38  % (25145)Termination phase: Property scanning
% 0.12/0.38  
% 0.12/0.38  % (25145)Memory used [KB]: 895
% 0.12/0.38  % (25145)Time elapsed: 0.003 s
% 0.12/0.38  % (25145)Instructions burned: 3 (million)
% 0.12/0.38  % (25145)------------------------------
% 0.12/0.38  % (25145)------------------------------
% 0.12/0.38  % (25146)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.12/0.38  % (25143)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.12/0.38  % (25144)Instruction limit reached!
% 0.12/0.38  % (25144)------------------------------
% 0.12/0.38  % (25144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (25144)Termination reason: Unknown
% 0.12/0.38  % (25144)Termination phase: Saturation
% 0.12/0.38  
% 0.12/0.38  % (25144)Memory used [KB]: 5500
% 0.12/0.38  % (25144)Time elapsed: 0.007 s
% 0.12/0.38  % (25144)Instructions burned: 15 (million)
% 0.12/0.38  % (25144)------------------------------
% 0.12/0.38  % (25144)------------------------------
% 0.12/0.39  % (25147)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.39  % (25148)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.39  % (25147)Instruction limit reached!
% 0.12/0.39  % (25147)------------------------------
% 0.12/0.39  % (25147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (25147)Termination reason: Unknown
% 0.12/0.39  % (25147)Termination phase: Saturation
% 0.12/0.39  
% 0.12/0.39  % (25147)Memory used [KB]: 1023
% 0.12/0.39  % (25147)Time elapsed: 0.004 s
% 0.12/0.39  % (25147)Instructions burned: 9 (million)
% 0.12/0.39  % (25147)------------------------------
% 0.12/0.39  % (25147)------------------------------
% 0.12/0.39  % (25149)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.39  % (25143)Instruction limit reached!
% 0.12/0.39  % (25143)------------------------------
% 0.12/0.39  % (25143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (25143)Termination reason: Unknown
% 0.12/0.39  % (25143)Termination phase: Saturation
% 0.12/0.39  
% 0.12/0.39  % (25143)Memory used [KB]: 5628
% 0.12/0.39  % (25143)Time elapsed: 0.013 s
% 0.12/0.39  % (25143)Instructions burned: 40 (million)
% 0.12/0.39  % (25143)------------------------------
% 0.12/0.39  % (25143)------------------------------
% 0.12/0.39  % (25149)Instruction limit reached!
% 0.12/0.39  % (25149)------------------------------
% 0.12/0.39  % (25149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (25149)Termination reason: Unknown
% 0.12/0.39  % (25149)Termination phase: Property scanning
% 0.12/0.39  
% 0.12/0.39  % (25149)Memory used [KB]: 1023
% 0.12/0.39  % (25149)Time elapsed: 0.004 s
% 0.12/0.39  % (25149)Instructions burned: 5 (million)
% 0.12/0.39  % (25149)------------------------------
% 0.12/0.39  % (25149)------------------------------
% 0.12/0.40  % (25148)Instruction limit reached!
% 0.12/0.40  % (25148)------------------------------
% 0.12/0.40  % (25148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40  % (25148)Termination reason: Unknown
% 0.12/0.40  % (25148)Termination phase: Saturation
% 0.12/0.40  
% 0.12/0.40  % (25148)Memory used [KB]: 5628
% 0.12/0.40  % (25148)Time elapsed: 0.011 s
% 0.12/0.40  % (25148)Instructions burned: 17 (million)
% 0.12/0.40  % (25148)------------------------------
% 0.12/0.40  % (25148)------------------------------
% 0.12/0.40  % (25150)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.40  % (25150)Instruction limit reached!
% 0.12/0.40  % (25150)------------------------------
% 0.12/0.40  % (25150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40  % (25150)Termination reason: Unknown
% 0.12/0.40  % (25150)Termination phase: Function definition elimination
% 0.12/0.40  
% 0.12/0.40  % (25150)Memory used [KB]: 1023
% 0.12/0.40  % (25150)Time elapsed: 0.003 s
% 0.12/0.40  % (25150)Instructions burned: 4 (million)
% 0.12/0.40  % (25150)------------------------------
% 0.12/0.40  % (25150)------------------------------
% 0.12/0.40  % (25151)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.40  % (25151)Instruction limit reached!
% 0.12/0.40  % (25151)------------------------------
% 0.12/0.40  % (25151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40  % (25151)Termination reason: Unknown
% 0.12/0.40  % (25151)Termination phase: Saturation
% 0.12/0.40  
% 0.12/0.40  % (25151)Memory used [KB]: 5500
% 0.12/0.41  % (25151)Time elapsed: 0.004 s
% 0.12/0.41  % (25151)Instructions burned: 9 (million)
% 0.12/0.41  % (25151)------------------------------
% 0.12/0.41  % (25151)------------------------------
% 0.12/0.41  % (25153)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.41  % (25152)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.41  % (25153)Instruction limit reached!
% 0.12/0.41  % (25153)------------------------------
% 0.12/0.41  % (25153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41  % (25153)Termination reason: Unknown
% 0.12/0.41  % (25153)Termination phase: Saturation
% 0.12/0.41  
% 0.12/0.41  % (25153)Memory used [KB]: 5500
% 0.12/0.41  % (25153)Time elapsed: 0.003 s
% 0.12/0.41  % (25153)Instructions burned: 4 (million)
% 0.12/0.41  % (25153)------------------------------
% 0.12/0.41  % (25153)------------------------------
% 0.12/0.41  % (25152)Instruction limit reached!
% 0.12/0.41  % (25152)------------------------------
% 0.12/0.41  % (25152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41  % (25152)Termination reason: Unknown
% 0.12/0.41  % (25152)Termination phase: Property scanning
% 0.12/0.41  
% 0.12/0.41  % (25152)Memory used [KB]: 895
% 0.12/0.41  % (25152)Time elapsed: 0.003 s
% 0.12/0.41  % (25152)Instructions burned: 3 (million)
% 0.12/0.41  % (25152)------------------------------
% 0.12/0.41  % (25152)------------------------------
% 0.12/0.41  % (25154)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.41  % (25155)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.12/0.42  % (25156)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.42  % (25158)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.12/0.42  % (25156)Instruction limit reached!
% 0.12/0.42  % (25156)------------------------------
% 0.12/0.42  % (25156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.42  % (25156)Termination reason: Unknown
% 0.12/0.42  % (25156)Termination phase: Saturation
% 0.12/0.42  
% 0.12/0.42  % (25156)Memory used [KB]: 5500
% 0.12/0.42  % (25154)Instruction limit reached!
% 0.12/0.42  % (25154)------------------------------
% 0.12/0.42  % (25154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.42  % (25154)Termination reason: Unknown
% 0.12/0.42  % (25154)Termination phase: Saturation
% 0.12/0.42  
% 0.12/0.42  % (25154)Memory used [KB]: 5628
% 0.12/0.42  % (25154)Time elapsed: 0.010 s
% 0.12/0.42  % (25154)Instructions burned: 18 (million)
% 0.12/0.42  % (25154)------------------------------
% 0.12/0.42  % (25154)------------------------------
% 0.12/0.42  % (25156)Time elapsed: 0.004 s
% 0.12/0.42  % (25156)Instructions burned: 9 (million)
% 0.12/0.42  % (25156)------------------------------
% 0.12/0.42  % (25156)------------------------------
% 0.12/0.42  % (25157)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.18/0.42  % (25157)Refutation not found, incomplete strategy
% 0.18/0.42  % (25157)------------------------------
% 0.18/0.42  % (25157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42  % (25157)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  % (25157)Memory used [KB]: 5500
% 0.18/0.42  % (25157)Time elapsed: 0.004 s
% 0.18/0.42  % (25157)Instructions burned: 5 (million)
% 0.18/0.42  % (25157)------------------------------
% 0.18/0.42  % (25157)------------------------------
% 0.18/0.43  % (25158)Instruction limit reached!
% 0.18/0.43  % (25158)------------------------------
% 0.18/0.43  % (25158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (25158)Termination reason: Unknown
% 0.18/0.43  % (25158)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (25158)Memory used [KB]: 5500
% 0.18/0.43  % (25158)Time elapsed: 0.009 s
% 0.18/0.43  % (25158)Instructions burned: 22 (million)
% 0.18/0.43  % (25158)------------------------------
% 0.18/0.43  % (25158)------------------------------
% 0.18/0.43  % (25135)Instruction limit reached!
% 0.18/0.43  % (25135)------------------------------
% 0.18/0.43  % (25135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (25135)Termination reason: Unknown
% 0.18/0.43  % (25135)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (25135)Memory used [KB]: 6780
% 0.18/0.43  % (25135)Time elapsed: 0.061 s
% 0.18/0.43  % (25135)Instructions burned: 185 (million)
% 0.18/0.43  % (25135)------------------------------
% 0.18/0.43  % (25135)------------------------------
% 0.18/0.43  % (25160)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.43  % (25160)Instruction limit reached!
% 0.18/0.43  % (25160)------------------------------
% 0.18/0.43  % (25160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (25160)Termination reason: Unknown
% 0.18/0.43  % (25160)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (25160)Memory used [KB]: 5500
% 0.18/0.43  % (25160)Time elapsed: 0.005 s
% 0.18/0.43  % (25160)Instructions burned: 10 (million)
% 0.18/0.43  % (25160)------------------------------
% 0.18/0.43  % (25160)------------------------------
% 0.18/0.43  % (25159)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.44  % (25161)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.18/0.44  % (25159)Instruction limit reached!
% 0.18/0.44  % (25159)------------------------------
% 0.18/0.44  % (25159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44  % (25159)Termination reason: Unknown
% 0.18/0.44  % (25159)Termination phase: Saturation
% 0.18/0.44  
% 0.18/0.44  % (25159)Memory used [KB]: 5500
% 0.18/0.44  % (25159)Time elapsed: 0.004 s
% 0.18/0.44  % (25159)Instructions burned: 6 (million)
% 0.18/0.44  % (25159)------------------------------
% 0.18/0.44  % (25159)------------------------------
% 0.18/0.44  % (25163)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.18/0.44  % (25162)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.18/0.44  % (25163)Instruction limit reached!
% 0.18/0.44  % (25163)------------------------------
% 0.18/0.44  % (25163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44  % (25163)Termination reason: Unknown
% 0.18/0.44  % (25163)Termination phase: Saturation
% 0.18/0.44  
% 0.18/0.44  % (25163)Memory used [KB]: 5500
% 0.18/0.44  % (25163)Time elapsed: 0.006 s
% 0.18/0.44  % (25163)Instructions burned: 20 (million)
% 0.18/0.44  % (25163)------------------------------
% 0.18/0.44  % (25163)------------------------------
% 0.18/0.44  % (25164)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.18/0.45  % (25165)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.18/0.45  % (25165)Instruction limit reached!
% 0.18/0.45  % (25165)------------------------------
% 0.18/0.45  % (25165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.45  % (25165)Termination reason: Unknown
% 0.18/0.45  % (25165)Termination phase: Saturation
% 0.18/0.45  
% 0.18/0.45  % (25165)Memory used [KB]: 5500
% 0.18/0.45  % (25165)Time elapsed: 0.006 s
% 0.18/0.45  % (25165)Instructions burned: 19 (million)
% 0.18/0.45  % (25165)------------------------------
% 0.18/0.45  % (25165)------------------------------
% 0.18/0.46  % (25140)Instruction limit reached!
% 0.18/0.46  % (25140)------------------------------
% 0.18/0.46  % (25140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.46  % (25140)Termination reason: Unknown
% 0.18/0.46  % (25140)Termination phase: Saturation
% 0.18/0.46  
% 0.18/0.46  % (25140)Memory used [KB]: 7803
% 0.18/0.46  % (25140)Time elapsed: 0.092 s
% 0.18/0.46  % (25140)Instructions burned: 276 (million)
% 0.18/0.46  % (25140)------------------------------
% 0.18/0.46  % (25140)------------------------------
% 0.18/0.46  % (25166)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.46  % (25167)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.46  % (25166)Instruction limit reached!
% 0.18/0.46  % (25166)------------------------------
% 0.18/0.46  % (25166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.46  % (25166)Termination reason: Unknown
% 0.18/0.46  % (25166)Termination phase: Property scanning
% 0.18/0.46  
% 0.18/0.46  % (25166)Memory used [KB]: 895
% 0.18/0.46  % (25166)Time elapsed: 0.003 s
% 0.18/0.46  % (25166)Instructions burned: 3 (million)
% 0.18/0.46  % (25166)------------------------------
% 0.18/0.46  % (25166)------------------------------
% 0.18/0.47  % (25167)Instruction limit reached!
% 0.18/0.47  % (25167)------------------------------
% 0.18/0.47  % (25167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.47  % (25167)Termination reason: Unknown
% 0.18/0.47  % (25167)Termination phase: Saturation
% 0.18/0.47  
% 0.18/0.47  % (25167)Memory used [KB]: 5628
% 0.18/0.47  % (25167)Time elapsed: 0.008 s
% 0.18/0.47  % (25167)Instructions burned: 30 (million)
% 0.18/0.47  % (25167)------------------------------
% 0.18/0.47  % (25167)------------------------------
% 0.18/0.47  % (25168)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.18/0.48  % (25169)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.48  % (25170)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.18/0.48  % (25170)Instruction limit reached!
% 0.18/0.48  % (25170)------------------------------
% 0.18/0.48  % (25170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.48  % (25170)Termination reason: Unknown
% 0.18/0.48  % (25170)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (25170)Memory used [KB]: 5500
% 0.18/0.48  % (25170)Time elapsed: 0.003 s
% 0.18/0.48  % (25170)Instructions burned: 4 (million)
% 0.18/0.48  % (25170)------------------------------
% 0.18/0.48  % (25170)------------------------------
% 0.18/0.49  % (25171)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.18/0.50  % (25171)Instruction limit reached!
% 0.18/0.50  % (25171)------------------------------
% 0.18/0.50  % (25171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.50  % (25171)Termination reason: Unknown
% 0.18/0.50  % (25171)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (25171)Memory used [KB]: 5500
% 0.18/0.50  % (25171)Time elapsed: 0.007 s
% 0.18/0.50  % (25171)Instructions burned: 24 (million)
% 0.18/0.50  % (25171)------------------------------
% 0.18/0.50  % (25171)------------------------------
% 0.18/0.50  % (25172)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.18/0.51  % (25169)Instruction limit reached!
% 0.18/0.51  % (25169)------------------------------
% 0.18/0.51  % (25169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51  % (25169)Termination reason: Unknown
% 0.18/0.51  % (25169)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (25169)Memory used [KB]: 6012
% 0.18/0.51  % (25169)Time elapsed: 0.033 s
% 0.18/0.51  % (25169)Instructions burned: 102 (million)
% 0.18/0.51  % (25169)------------------------------
% 0.18/0.51  % (25169)------------------------------
% 0.18/0.51  % (25168)Instruction limit reached!
% 0.18/0.51  % (25168)------------------------------
% 0.18/0.51  % (25168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51  % (25168)Termination reason: Unknown
% 0.18/0.51  % (25168)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (25168)Memory used [KB]: 6524
% 0.18/0.51  % (25168)Time elapsed: 0.042 s
% 0.18/0.51  % (25168)Instructions burned: 127 (million)
% 0.18/0.51  % (25168)------------------------------
% 0.18/0.51  % (25168)------------------------------
% 0.18/0.52  % (25172)Instruction limit reached!
% 0.18/0.52  % (25172)------------------------------
% 0.18/0.52  % (25172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.52  % (25172)Termination reason: Unknown
% 0.18/0.52  % (25172)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (25172)Memory used [KB]: 6012
% 0.18/0.52  % (25172)Time elapsed: 0.020 s
% 0.18/0.52  % (25172)Instructions burned: 88 (million)
% 0.18/0.52  % (25172)------------------------------
% 0.18/0.52  % (25172)------------------------------
% 0.18/0.52  % (25173)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.18/0.52  % (25174)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.18/0.53  % (25175)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.18/0.54  % (25174)Instruction limit reached!
% 0.18/0.54  % (25174)------------------------------
% 0.18/0.54  % (25174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.54  % (25174)Termination reason: Unknown
% 0.18/0.54  % (25174)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (25174)Memory used [KB]: 5628
% 0.18/0.54  % (25174)Time elapsed: 0.015 s
% 0.18/0.54  % (25174)Instructions burned: 41 (million)
% 0.18/0.54  % (25174)------------------------------
% 0.18/0.54  % (25174)------------------------------
% 0.18/0.55  % (25176)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.18/0.55  % (25161)Instruction limit reached!
% 0.18/0.55  % (25161)------------------------------
% 0.18/0.55  % (25161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.55  % (25161)Termination reason: Unknown
% 0.18/0.55  % (25161)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (25161)Memory used [KB]: 9210
% 0.18/0.56  % (25161)Time elapsed: 0.121 s
% 0.18/0.56  % (25161)Instructions burned: 377 (million)
% 0.18/0.56  % (25161)------------------------------
% 0.18/0.56  % (25161)------------------------------
% 0.18/0.56  % (25173)Instruction limit reached!
% 0.18/0.56  % (25173)------------------------------
% 0.18/0.56  % (25173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.56  % (25173)Termination reason: Unknown
% 0.18/0.56  % (25173)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (25173)Memory used [KB]: 6396
% 0.18/0.56  % (25173)Time elapsed: 0.035 s
% 0.18/0.56  % (25173)Instructions burned: 107 (million)
% 0.18/0.56  % (25173)------------------------------
% 0.18/0.56  % (25173)------------------------------
% 1.71/0.57  % (25177)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.71/0.57  % (25178)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.71/0.57  % (25176)Instruction limit reached!
% 1.71/0.57  % (25176)------------------------------
% 1.71/0.57  % (25176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.57  % (25176)Termination reason: Unknown
% 1.71/0.57  % (25176)Termination phase: Saturation
% 1.71/0.57  
% 1.71/0.57  % (25176)Memory used [KB]: 5628
% 1.71/0.57  % (25176)Time elapsed: 0.023 s
% 1.71/0.57  % (25176)Instructions burned: 46 (million)
% 1.71/0.57  % (25176)------------------------------
% 1.71/0.57  % (25176)------------------------------
% 1.86/0.59  % (25179)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.86/0.60  % (25177)Instruction limit reached!
% 1.86/0.60  % (25177)------------------------------
% 1.86/0.60  % (25177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.60  % (25177)Termination reason: Unknown
% 1.86/0.60  % (25177)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (25177)Memory used [KB]: 1535
% 1.86/0.60  % (25177)Time elapsed: 0.029 s
% 1.86/0.60  % (25177)Instructions burned: 100 (million)
% 1.86/0.60  % (25177)------------------------------
% 1.86/0.60  % (25177)------------------------------
% 1.86/0.60  % (25146)First to succeed.
% 1.86/0.61  % (25180)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.86/0.62  % (25180)Instruction limit reached!
% 1.86/0.62  % (25180)------------------------------
% 1.86/0.62  % (25180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.62  % (25180)Termination reason: Unknown
% 1.86/0.62  % (25180)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (25180)Memory used [KB]: 5628
% 1.86/0.62  % (25180)Time elapsed: 0.013 s
% 1.86/0.62  % (25180)Instructions burned: 39 (million)
% 1.86/0.62  % (25180)------------------------------
% 1.86/0.62  % (25180)------------------------------
% 1.86/0.63  % (25181)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 2.15/0.64  % (25181)Instruction limit reached!
% 2.15/0.64  % (25181)------------------------------
% 2.15/0.64  % (25181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.15/0.64  % (25181)Termination reason: Unknown
% 2.15/0.64  % (25181)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (25181)Memory used [KB]: 9978
% 2.15/0.64  % (25181)Time elapsed: 0.005 s
% 2.15/0.64  % (25181)Instructions burned: 9 (million)
% 2.15/0.64  % (25181)------------------------------
% 2.15/0.64  % (25181)------------------------------
% 2.22/0.64  % (25175)Instruction limit reached!
% 2.22/0.64  % (25175)------------------------------
% 2.22/0.64  % (25175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.64  % (25175)Termination reason: Unknown
% 2.22/0.64  % (25175)Termination phase: Saturation
% 2.22/0.64  
% 2.22/0.64  % (25175)Memory used [KB]: 9083
% 2.22/0.64  % (25175)Time elapsed: 0.102 s
% 2.22/0.64  % (25175)Instructions burned: 448 (million)
% 2.22/0.64  % (25175)------------------------------
% 2.22/0.64  % (25175)------------------------------
% 2.22/0.65  % (25182)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 2.22/0.65  % (25183)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.22/0.66  % (25183)Instruction limit reached!
% 2.22/0.66  % (25183)------------------------------
% 2.22/0.66  % (25183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.66  % (25183)Termination reason: Unknown
% 2.22/0.66  % (25183)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (25183)Memory used [KB]: 5756
% 2.22/0.66  % (25183)Time elapsed: 0.012 s
% 2.22/0.66  % (25183)Instructions burned: 51 (million)
% 2.22/0.66  % (25183)------------------------------
% 2.22/0.66  % (25183)------------------------------
% 2.22/0.66  % (25179)Instruction limit reached!
% 2.22/0.66  % (25179)------------------------------
% 2.22/0.66  % (25179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.66  % (25179)Termination reason: Unknown
% 2.22/0.66  % (25179)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (25179)Memory used [KB]: 5884
% 2.22/0.66  % (25179)Time elapsed: 0.078 s
% 2.22/0.66  % (25179)Instructions burned: 150 (million)
% 2.22/0.66  % (25179)------------------------------
% 2.22/0.66  % (25179)------------------------------
% 2.22/0.67  % (25184)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.22/0.68  % (25185)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.22/0.68  % (25184)Instruction limit reached!
% 2.22/0.68  % (25184)------------------------------
% 2.22/0.68  % (25184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.68  % (25184)Termination reason: Unknown
% 2.22/0.68  % (25184)Termination phase: Saturation
% 2.22/0.68  
% 2.22/0.68  % (25184)Memory used [KB]: 1151
% 2.22/0.68  % (25184)Time elapsed: 0.011 s
% 2.22/0.68  % (25184)Instructions burned: 44 (million)
% 2.22/0.68  % (25184)------------------------------
% 2.22/0.68  % (25184)------------------------------
% 2.22/0.69  % (25186)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.39/0.71  % (25186)Instruction limit reached!
% 2.39/0.71  % (25186)------------------------------
% 2.39/0.71  % (25186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.39/0.71  % (25186)Termination reason: Unknown
% 2.39/0.71  % (25186)Termination phase: Saturation
% 2.39/0.71  
% 2.39/0.71  % (25186)Memory used [KB]: 5756
% 2.39/0.71  % (25186)Time elapsed: 0.016 s
% 2.39/0.71  % (25186)Instructions burned: 63 (million)
% 2.39/0.71  % (25186)------------------------------
% 2.39/0.71  % (25186)------------------------------
% 2.39/0.72  % (25187)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.39/0.72  % (25187)Instruction limit reached!
% 2.39/0.72  % (25187)------------------------------
% 2.39/0.72  % (25187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.39/0.72  % (25187)Termination reason: Unknown
% 2.39/0.72  % (25187)Termination phase: Saturation
% 2.39/0.72  
% 2.39/0.72  % (25187)Memory used [KB]: 5628
% 2.39/0.72  % (25187)Time elapsed: 0.009 s
% 2.39/0.72  % (25187)Instructions burned: 33 (million)
% 2.39/0.72  % (25187)------------------------------
% 2.39/0.72  % (25187)------------------------------
% 2.39/0.73  % (25188)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.39/0.73  % (25178)Instruction limit reached!
% 2.39/0.73  % (25178)------------------------------
% 2.39/0.73  % (25178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.39/0.73  % (25178)Termination reason: Unknown
% 2.39/0.73  % (25178)Termination phase: Saturation
% 2.39/0.73  
% 2.39/0.73  % (25178)Memory used [KB]: 10362
% 2.39/0.73  % (25178)Time elapsed: 0.166 s
% 2.39/0.73  % (25178)Instructions burned: 507 (million)
% 2.39/0.73  % (25178)------------------------------
% 2.39/0.73  % (25178)------------------------------
% 2.39/0.75  % (25189)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.68/0.76  % (25188)Instruction limit reached!
% 2.68/0.76  % (25188)------------------------------
% 2.68/0.76  % (25188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.76  % (25188)Termination reason: Unknown
% 2.68/0.76  % (25188)Termination phase: Saturation
% 2.68/0.76  
% 2.68/0.76  % (25188)Memory used [KB]: 6140
% 2.68/0.76  % (25188)Time elapsed: 0.028 s
% 2.68/0.76  % (25188)Instructions burned: 97 (million)
% 2.68/0.76  % (25188)------------------------------
% 2.68/0.76  % (25188)------------------------------
% 2.68/0.77  % (25190)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.68/0.78  % (25190)Instruction limit reached!
% 2.68/0.78  % (25190)------------------------------
% 2.68/0.78  % (25190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.78  % (25190)Termination reason: Unknown
% 2.68/0.78  % (25190)Termination phase: Saturation
% 2.68/0.78  
% 2.68/0.78  % (25190)Memory used [KB]: 6012
% 2.68/0.78  % (25190)Time elapsed: 0.016 s
% 2.68/0.78  % (25190)Instructions burned: 76 (million)
% 2.68/0.78  % (25190)------------------------------
% 2.68/0.78  % (25190)------------------------------
% 2.68/0.79  % (25191)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 2.68/0.79  % (25185)Instruction limit reached!
% 2.68/0.79  % (25185)------------------------------
% 2.68/0.79  % (25185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.79  % (25185)Termination reason: Unknown
% 2.68/0.79  % (25185)Termination phase: Saturation
% 2.68/0.79  
% 2.68/0.79  % (25185)Memory used [KB]: 4605
% 2.68/0.79  % (25185)Time elapsed: 0.119 s
% 2.68/0.79  % (25185)Instructions burned: 434 (million)
% 2.68/0.79  % (25185)------------------------------
% 2.68/0.79  % (25185)------------------------------
% 2.68/0.81  % (25191)Instruction limit reached!
% 2.68/0.81  % (25191)------------------------------
% 2.68/0.81  % (25191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.81  % (25191)Termination reason: Unknown
% 2.68/0.81  % (25191)Termination phase: Saturation
% 2.68/0.81  
% 2.68/0.81  % (25191)Memory used [KB]: 6012
% 2.68/0.81  % (25191)Time elapsed: 0.017 s
% 2.68/0.81  % (25191)Instructions burned: 84 (million)
% 2.68/0.81  % (25191)------------------------------
% 2.68/0.81  % (25191)------------------------------
% 2.68/0.81  % (25192)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.68/0.81  % (25192)Instruction limit reached!
% 2.68/0.81  % (25192)------------------------------
% 2.68/0.81  % (25192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.81  % (25192)Termination reason: Unknown
% 2.68/0.81  % (25192)Termination phase: Saturation
% 2.68/0.81  
% 2.68/0.81  % (25192)Memory used [KB]: 5500
% 2.68/0.81  % (25192)Time elapsed: 0.006 s
% 2.68/0.81  % (25192)Instructions burned: 14 (million)
% 2.68/0.81  % (25192)------------------------------
% 2.68/0.81  % (25192)------------------------------
% 2.68/0.82  % (25193)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 2.68/0.82  % (25193)Instruction limit reached!
% 2.68/0.82  % (25193)------------------------------
% 2.68/0.82  % (25193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.82  % (25193)Termination reason: Unknown
% 2.68/0.82  % (25193)Termination phase: Saturation
% 2.68/0.82  
% 2.68/0.82  % (25193)Memory used [KB]: 5628
% 2.68/0.82  % (25193)Time elapsed: 0.009 s
% 2.68/0.82  % (25193)Instructions burned: 41 (million)
% 2.68/0.82  % (25193)------------------------------
% 2.68/0.82  % (25193)------------------------------
% 2.68/0.82  % (25194)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.68/0.83  % (25194)Instruction limit reached!
% 2.68/0.83  % (25194)------------------------------
% 2.68/0.83  % (25194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.83  % (25194)Termination reason: Unknown
% 2.68/0.83  % (25194)Termination phase: Saturation
% 2.68/0.83  
% 2.68/0.83  % (25194)Memory used [KB]: 5500
% 2.68/0.83  % (25194)Time elapsed: 0.005 s
% 2.68/0.83  % (25194)Instructions burned: 9 (million)
% 2.68/0.83  % (25194)------------------------------
% 2.68/0.83  % (25194)------------------------------
% 2.68/0.83  % (25195)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 2.68/0.84  % (25196)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.03/0.86  % (25195)Instruction limit reached!
% 3.03/0.86  % (25195)------------------------------
% 3.03/0.86  % (25195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.86  % (25195)Termination reason: Unknown
% 3.03/0.86  % (25195)Termination phase: Saturation
% 3.03/0.86  
% 3.03/0.86  % (25195)Memory used [KB]: 6524
% 3.03/0.86  % (25195)Time elapsed: 0.032 s
% 3.03/0.86  % (25195)Instructions burned: 150 (million)
% 3.03/0.86  % (25195)------------------------------
% 3.03/0.86  % (25195)------------------------------
% 3.03/0.88  % (25197)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.12/0.89  % (25189)Instruction limit reached!
% 3.12/0.89  % (25189)------------------------------
% 3.12/0.89  % (25189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.89  % (25189)Termination reason: Unknown
% 3.12/0.89  % (25189)Termination phase: Saturation
% 3.12/0.89  
% 3.12/0.89  % (25189)Memory used [KB]: 10234
% 3.12/0.89  % (25189)Time elapsed: 0.146 s
% 3.12/0.89  % (25189)Instructions burned: 454 (million)
% 3.12/0.89  % (25189)------------------------------
% 3.12/0.89  % (25189)------------------------------
% 3.12/0.91  % (25198)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2994ds/253Mi)
% 3.12/0.91  % (25197)Instruction limit reached!
% 3.12/0.91  % (25197)------------------------------
% 3.12/0.91  % (25197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.91  % (25197)Termination reason: Unknown
% 3.12/0.91  % (25197)Termination phase: Saturation
% 3.12/0.91  
% 3.12/0.91  % (25197)Memory used [KB]: 6396
% 3.12/0.91  % (25197)Time elapsed: 0.034 s
% 3.12/0.91  % (25197)Instructions burned: 109 (million)
% 3.12/0.91  % (25197)------------------------------
% 3.12/0.91  % (25197)------------------------------
% 3.12/0.92  % (25199)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.37/0.95  % (25196)Instruction limit reached!
% 3.37/0.95  % (25196)------------------------------
% 3.37/0.95  % (25196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.95  % (25196)Termination reason: Unknown
% 3.37/0.95  % (25196)Termination phase: Saturation
% 3.37/0.95  
% 3.37/0.95  % (25196)Memory used [KB]: 9210
% 3.37/0.95  % (25196)Time elapsed: 0.116 s
% 3.37/0.95  % (25196)Instructions burned: 343 (million)
% 3.37/0.95  % (25196)------------------------------
% 3.37/0.95  % (25196)------------------------------
% 3.37/0.96  % (25199)Instruction limit reached!
% 3.37/0.96  % (25199)------------------------------
% 3.37/0.96  % (25199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.96  % (25199)Termination reason: Unknown
% 3.37/0.96  % (25199)Termination phase: Saturation
% 3.37/0.96  
% 3.37/0.96  % (25199)Memory used [KB]: 6396
% 3.37/0.96  % (25199)Time elapsed: 0.045 s
% 3.37/0.96  % (25199)Instructions burned: 141 (million)
% 3.37/0.96  % (25199)------------------------------
% 3.37/0.96  % (25199)------------------------------
% 3.37/0.97  % (25200)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 3.37/0.98  % (25198)Instruction limit reached!
% 3.37/0.98  % (25198)------------------------------
% 3.37/0.98  % (25198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.98  % (25198)Termination reason: Unknown
% 3.37/0.98  % (25198)Termination phase: Saturation
% 3.37/0.98  
% 3.37/0.98  % (25198)Memory used [KB]: 7803
% 3.37/0.98  % (25198)Time elapsed: 0.072 s
% 3.37/0.98  % (25198)Instructions burned: 255 (million)
% 3.37/0.98  % (25198)------------------------------
% 3.37/0.98  % (25198)------------------------------
% 3.37/0.98  % (25201)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2993ds/202Mi)
% 3.37/0.98  % (25201)Refutation not found, incomplete strategy
% 3.37/0.98  % (25201)------------------------------
% 3.37/0.98  % (25201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.98  % (25201)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.98  
% 3.37/0.98  
% 3.37/0.98  % (25201)Memory used [KB]: 5500
% 3.37/0.98  % (25201)Time elapsed: 0.004 s
% 3.37/0.98  % (25201)Instructions burned: 4 (million)
% 3.37/0.98  % (25201)------------------------------
% 3.37/0.98  % (25201)------------------------------
% 3.37/0.99  % (25202)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2993ds/339Mi)
% 3.37/0.99  % (25203)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2993ds/283Mi)
% 3.37/0.99  % (25155)Also succeeded, but the first one will report.
% 3.37/0.99  % (25182)Also succeeded, but the first one will report.
% 3.37/0.99  % (25146)Refutation found. Thanks to Tanya!
% 3.37/0.99  % SZS status Theorem for theBenchmark
% 3.37/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.00  % (25146)------------------------------
% 3.37/1.00  % (25146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/1.00  % (25146)Termination reason: Refutation
% 3.37/1.00  
% 3.37/1.00  % (25146)Memory used [KB]: 309845
% 3.37/1.00  % (25146)Time elapsed: 0.615 s
% 3.37/1.00  % (25146)Instructions burned: 696 (million)
% 3.37/1.00  % (25146)------------------------------
% 3.37/1.00  % (25146)------------------------------
% 3.37/1.00  % (25134)Success in time 0.63 s
% 3.37/1.00  % Vampire---4.8 exiting
%------------------------------------------------------------------------------