TSTP Solution File: SCT171^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT171^1 : TPTP v8.2.0. Released v5.3.0.
% 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 : n017.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 02:49:21 EDT 2024

% Result   : Theorem 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   91
% Syntax   : Number of formulae    :  106 (  11 unt;  88 typ;   0 def)
%            Number of atoms       :  165 (  21 equ;   0 cnn)
%            Maximal formula atoms :   15 (   9 avg)
%            Number of connectives :  287 (   5   ~;   0   |;   0   &; 280   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :  497 ( 497   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   83 (  80 usr;   8 con; 0-4 aty)
%            Number of variables   :    9 (   9   ^   0   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc1832616231le_alt: $tType ).

thf(type_def_7,type,
    arrow_1092341143e_indi: $tType ).

thf(type_def_8,type,
    arrow_1346734812le_alt: $tType ).

thf(type_def_9,type,
    nat: $tType ).

thf(func_def_0,type,
    arrow_1346734812le_alt: $tType ).

thf(func_def_1,type,
    arrow_1092341143e_indi: $tType ).

thf(func_def_2,type,
    nat: $tType ).

thf(func_def_3,type,
    produc1832616231le_alt: $tType ).

thf(func_def_4,type,
    all: ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_5,type,
    arrow_1724561858le_IIA: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_6,type,
    arrow_1751445586le_Lin: ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_7,type,
    arrow_1605628760e_Prof: ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ).

thf(func_def_8,type,
    arrow_452340254_above: ( produc1832616231le_alt > $o ) > arrow_1346734812le_alt > arrow_1346734812le_alt > produc1832616231le_alt > $o ).

thf(func_def_9,type,
    arrow_1098709355ctator: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > arrow_1092341143e_indi > $o ).

thf(func_def_10,type,
    arrow_1717184938_mkbot: ( produc1832616231le_alt > $o ) > arrow_1346734812le_alt > produc1832616231le_alt > $o ).

thf(func_def_11,type,
    arrow_1865892024_mktop: ( produc1832616231le_alt > $o ) > arrow_1346734812le_alt > produc1832616231le_alt > $o ).

thf(func_def_12,type,
    arrow_1889221221nimity: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_13,type,
    finite1907699781e_indi: ( arrow_1092341143e_indi > $o ) > nat ).

thf(func_def_14,type,
    inj_on945046484di_nat: ( arrow_1092341143e_indi > nat ) > ( arrow_1092341143e_indi > $o ) > $o ).

thf(func_def_15,type,
    pi_Arr1422400881lt_o_o: ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_16,type,
    pi_Arr1941314005e_indi: ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > arrow_1092341143e_indi > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > $o ).

thf(func_def_17,type,
    pi_Arr1021537730_alt_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > ( produc1832616231le_alt > $o ) > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_18,type,
    pi_Arr1767527177lt_o_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_19,type,
    pi_Arr170420797e_indi: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > arrow_1092341143e_indi > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > $o ).

thf(func_def_20,type,
    pi_Pro410810898lt_o_o: ( ( produc1832616231le_alt > $o ) > $o ) > ( ( produc1832616231le_alt > $o ) > $o > $o ) > ( ( produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_21,type,
    pi_Pro1340600692e_indi: ( ( produc1832616231le_alt > $o ) > $o ) > ( ( produc1832616231le_alt > $o ) > arrow_1092341143e_indi > $o ) > ( ( produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > $o ).

thf(func_def_22,type,
    pi_o_A1302557673_alt_o: ( $o > $o ) > ( $o > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( $o > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_23,type,
    pi_o_A71242893_alt_o: ( $o > $o ) > ( $o > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( $o > arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ).

thf(func_def_24,type,
    pi_o_P1538584260_alt_o: ( $o > $o ) > ( $o > ( produc1832616231le_alt > $o ) > $o ) > ( $o > produc1832616231le_alt > $o ) > $o ).

thf(func_def_25,type,
    pi_o_P988780107le_alt: ( $o > $o ) > ( $o > produc1832616231le_alt > $o ) > ( $o > produc1832616231le_alt ) > $o ).

thf(func_def_26,type,
    pi_Arr1140519125_alt_o: ( arrow_1092341143e_indi > $o ) > ( arrow_1092341143e_indi > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( arrow_1092341143e_indi > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_27,type,
    pi_Arr651234977_alt_o: ( arrow_1092341143e_indi > $o ) > ( arrow_1092341143e_indi > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( arrow_1092341143e_indi > arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ).

thf(func_def_28,type,
    pi_Arr418143960_alt_o: ( arrow_1092341143e_indi > $o ) > ( arrow_1092341143e_indi > ( produc1832616231le_alt > $o ) > $o ) > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ).

thf(func_def_29,type,
    pi_Arr1055270199le_alt: ( arrow_1092341143e_indi > $o ) > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > ( arrow_1092341143e_indi > produc1832616231le_alt ) > $o ).

thf(func_def_30,type,
    pi_Pro539263375_alt_o: ( produc1832616231le_alt > $o ) > ( produc1832616231le_alt > $o > $o ) > ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_31,type,
    pi_Pro1535452471e_indi: ( produc1832616231le_alt > $o ) > ( produc1832616231le_alt > arrow_1092341143e_indi > $o ) > ( produc1832616231le_alt > arrow_1092341143e_indi ) > $o ).

thf(func_def_32,type,
    hilber564731065di_nat: ( arrow_1092341143e_indi > $o ) > ( arrow_1092341143e_indi > nat ) > nat > arrow_1092341143e_indi ).

thf(func_def_33,type,
    if_Pro399136856_alt_o: $o > ( produc1832616231le_alt > $o ) > ( produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ).

thf(func_def_34,type,
    ord_le939309728lt_o_o: ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_35,type,
    ord_le972845494lt_o_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_36,type,
    ord_le898419007lt_o_o: ( ( produc1832616231le_alt > $o ) > $o ) > ( ( produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_37,type,
    ord_le316791758indi_o: ( arrow_1092341143e_indi > $o ) > ( arrow_1092341143e_indi > $o ) > $o ).

thf(func_def_38,type,
    ord_le1973646398_alt_o: ( produc1832616231le_alt > $o ) > ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_39,type,
    ord_less_o: $o > $o > $o ).

thf(func_def_40,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_41,type,
    top_to1049332548lt_o_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_42,type,
    top_to790289938lt_o_o: ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ).

thf(func_def_43,type,
    top_to1830848411lt_o_o: ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_44,type,
    top_top_o_o: $o > $o ).

thf(func_def_45,type,
    top_to527331954indi_o: arrow_1092341143e_indi > $o ).

thf(func_def_46,type,
    top_to679332578_alt_o: produc1832616231le_alt > $o ).

thf(func_def_48,type,
    produc990411159le_alt: arrow_1346734812le_alt > arrow_1346734812le_alt > produc1832616231le_alt ).

thf(func_def_49,type,
    collec2125720304_alt_o: ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ).

thf(func_def_50,type,
    collec1718651462_alt_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ).

thf(func_def_51,type,
    collec1079683069_alt_o: ( ( produc1832616231le_alt > $o ) > $o ) > ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_52,type,
    collec1832628290e_indi: ( arrow_1092341143e_indi > $o ) > arrow_1092341143e_indi > $o ).

thf(func_def_53,type,
    collec1201320914le_alt: ( produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ).

thf(func_def_54,type,
    member903234717lt_o_o: ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > ( ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > $o ) > $o ).

thf(func_def_55,type,
    member986213183e_indi: ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > ( ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > $o ) > $o ).

thf(func_def_56,type,
    member733327538_alt_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_57,type,
    member1754345465lt_o_o: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > $o ) > $o ).

thf(func_def_58,type,
    member1208133347e_indi: ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > ( ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > $o ) > $o ).

thf(func_def_59,type,
    member1949484546lt_o_o: ( ( produc1832616231le_alt > $o ) > $o ) > ( ( ( produc1832616231le_alt > $o ) > $o ) > $o ) > $o ).

thf(func_def_60,type,
    member1255309082e_indi: ( ( produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > ( ( ( produc1832616231le_alt > $o ) > arrow_1092341143e_indi ) > $o ) > $o ).

thf(func_def_61,type,
    member1710515983_alt_o: ( $o > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > ( ( $o > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_62,type,
    member537117565_alt_o: ( $o > arrow_1092341143e_indi > produc1832616231le_alt > $o ) > ( ( $o > arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_63,type,
    member1099673524_alt_o: ( $o > produc1832616231le_alt > $o ) > ( ( $o > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_64,type,
    member1368218865le_alt: ( $o > produc1832616231le_alt ) > ( ( $o > produc1832616231le_alt ) > $o ) > $o ).

thf(func_def_65,type,
    member24189887_alt_o: ( arrow_1092341143e_indi > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > ( ( arrow_1092341143e_indi > ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_66,type,
    member1079651021_alt_o: ( arrow_1092341143e_indi > arrow_1092341143e_indi > produc1832616231le_alt > $o ) > ( ( arrow_1092341143e_indi > arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_67,type,
    member1561882372_alt_o: ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_68,type,
    member1621875105le_alt: ( arrow_1092341143e_indi > produc1832616231le_alt ) > ( ( arrow_1092341143e_indi > produc1832616231le_alt ) > $o ) > $o ).

thf(func_def_69,type,
    member1362619835_alt_o: ( produc1832616231le_alt > $o ) > ( ( produc1832616231le_alt > $o ) > $o ) > $o ).

thf(func_def_70,type,
    member1486844321e_indi: ( produc1832616231le_alt > arrow_1092341143e_indi ) > ( ( produc1832616231le_alt > arrow_1092341143e_indi ) > $o ) > $o ).

thf(func_def_71,type,
    member_o: $o > ( $o > $o ) > $o ).

thf(func_def_72,type,
    member1714766084e_indi: arrow_1092341143e_indi > ( arrow_1092341143e_indi > $o ) > $o ).

thf(func_def_73,type,
    member545531028le_alt: produc1832616231le_alt > ( produc1832616231le_alt > $o ) > $o ).

thf(func_def_74,type,
    f: ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ).

thf(func_def_75,type,
    lab: produc1832616231le_alt > $o ).

thf(func_def_76,type,
    lba: produc1832616231le_alt > $o ).

thf(func_def_77,type,
    p: arrow_1092341143e_indi > produc1832616231le_alt > $o ).

thf(func_def_78,type,
    a: arrow_1346734812le_alt ).

thf(func_def_79,type,
    b: arrow_1346734812le_alt ).

thf(func_def_80,type,
    c: arrow_1346734812le_alt ).

thf(func_def_81,type,
    d: arrow_1346734812le_alt ).

thf(func_def_82,type,
    e: arrow_1346734812le_alt ).

thf(func_def_83,type,
    h: arrow_1092341143e_indi > nat ).

thf(func_def_84,type,
    n: nat ).

thf(f876,plain,
    $false,
    inference(trivial_inequality_removal,[],[f875]) ).

thf(f875,plain,
    $true = $false,
    inference(boolean_simplification,[],[f874]) ).

thf(f874,plain,
    ( ~ $true = $true ),
    inference(backward_demodulation,[],[f608,f873]) ).

thf(f873,plain,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) )
    = $true ),
    inference(backward_demodulation,[],[f868,f697]) ).

thf(f697,plain,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [Y0: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( n
                = ( h @ Y0 ) )
              @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f460]) ).

thf(f460,plain,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [Y0: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( n
                = ( h @ Y0 ) )
              @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f459]) ).

thf(f459,plain,
    ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
    @ ( f
      @ ^ [X0: arrow_1092341143e_indi] :
          ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ X0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ X0 ) @ e )
          @ ( if_Pro399136856_alt_o
            @ ( n
              = ( h @ X0 ) )
            @ ( arrow_452340254_above @ ( p @ X0 ) @ c @ e )
            @ ( arrow_1717184938_mkbot @ ( p @ X0 ) @ e ) ) ) ) ),
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
    @ ( f
      @ ^ [X10: arrow_1092341143e_indi] :
          ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ X10 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ X10 ) @ e )
          @ ( if_Pro399136856_alt_o
            @ ( ( h @ X10 )
              = n )
            @ ( arrow_452340254_above @ ( p @ X10 ) @ c @ e )
            @ ( arrow_1717184938_mkbot @ ( p @ X10 ) @ e ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

thf(f868,plain,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) )
    = ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [Y0: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( n
                = ( h @ Y0 ) )
              @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f619]) ).

thf(f619,plain,
    ( $true
    = ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
        @ ( f
          @ ^ [Y0: arrow_1092341143e_indi] :
              ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
              @ ( if_Pro399136856_alt_o
                @ ( n
                  = ( h @ Y0 ) )
                @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
                @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
      = ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ) ) ),
    inference(cnf_transformation,[],[f446]) ).

thf(f446,plain,
    ( $true
    = ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
        @ ( f
          @ ^ [Y0: arrow_1092341143e_indi] :
              ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
              @ ( if_Pro399136856_alt_o
                @ ( n
                  = ( h @ Y0 ) )
                @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
                @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
      = ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ) ) ),
    inference(fool_elimination,[],[f445]) ).

thf(f445,plain,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [X0: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ X0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ X0 ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( n
                = ( h @ X0 ) )
              @ ( arrow_452340254_above @ ( p @ X0 ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ X0 ) @ e ) ) ) ) )
  <=> ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ) ),
    inference(rectify,[],[f15]) ).

thf(f15,axiom,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [X10: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ X10 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ X10 ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( ( h @ X10 )
                = n )
              @ ( arrow_452340254_above @ ( p @ X10 ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ X10 ) @ e ) ) ) ) )
  <=> ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).

thf(f608,plain,
    ( ( ~ ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ) )
    = $true ),
    inference(cnf_transformation,[],[f320]) ).

thf(f320,plain,
    ( ( ~ ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ) )
    = $true ),
    inference(fool_elimination,[],[f319]) ).

thf(f319,plain,
    ~ ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ),
    inference(rectify,[],[f203]) ).

thf(f203,negated_conjecture,
    ~ ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ),
    inference(negated_conjecture,[],[f202]) ).

thf(f202,conjecture,
    member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SCT171^1 : TPTP v8.2.0. Released v5.3.0.
% 0.06/0.14  % 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
% 0.13/0.35  % Computer : n017.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    : 300
% 0.13/0.35  % DateTime   : Mon May 20 00:16:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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
% 0.20/0.38  % (32083)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.38  % (32084)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)
% 0.20/0.38  % (32078)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)
% 0.20/0.38  % (32079)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)
% 0.20/0.38  % (32080)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38  % (32082)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)
% 0.20/0.38  % (32081)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)
% 0.20/0.38  % (32078)Instruction limit reached!
% 0.20/0.38  % (32078)------------------------------
% 0.20/0.38  % (32078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (32078)Termination reason: Unknown
% 0.20/0.38  % (32078)Termination phase: shuffling
% 0.20/0.38  
% 0.20/0.38  % (32078)Memory used [KB]: 1407
% 0.20/0.38  % (32078)Time elapsed: 0.003 s
% 0.20/0.38  % (32078)Instructions burned: 4 (million)
% 0.20/0.38  % (32078)------------------------------
% 0.20/0.38  % (32078)------------------------------
% 0.20/0.38  % (32080)Instruction limit reached!
% 0.20/0.38  % (32080)------------------------------
% 0.20/0.38  % (32080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (32080)Termination reason: Unknown
% 0.20/0.39  % (32080)Termination phase: shuffling
% 0.20/0.39  
% 0.20/0.39  % (32081)Instruction limit reached!
% 0.20/0.39  % (32081)------------------------------
% 0.20/0.39  % (32081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39  % (32080)Memory used [KB]: 1279
% 0.20/0.39  % (32080)Time elapsed: 0.003 s
% 0.20/0.39  % (32080)Instructions burned: 3 (million)
% 0.20/0.39  % (32080)------------------------------
% 0.20/0.39  % (32080)------------------------------
% 0.20/0.39  % (32081)Termination reason: Unknown
% 0.20/0.39  % (32081)Termination phase: shuffling
% 0.20/0.39  
% 0.20/0.39  % (32081)Memory used [KB]: 1279
% 0.20/0.39  % (32081)Time elapsed: 0.003 s
% 0.20/0.39  % (32081)Instructions burned: 2 (million)
% 0.20/0.39  % (32081)------------------------------
% 0.20/0.39  % (32081)------------------------------
% 0.20/0.39  % (32084)Instruction limit reached!
% 0.20/0.39  % (32084)------------------------------
% 0.20/0.39  % (32084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39  % (32084)Termination reason: Unknown
% 0.20/0.39  % (32084)Termination phase: shuffling
% 0.20/0.39  
% 0.20/0.39  % (32084)Memory used [KB]: 1407
% 0.20/0.39  % (32084)Time elapsed: 0.004 s
% 0.20/0.39  % (32084)Instructions burned: 4 (million)
% 0.20/0.39  % (32084)------------------------------
% 0.20/0.39  % (32084)------------------------------
% 0.20/0.39  % (32077)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.39  % (32083)Instruction limit reached!
% 0.20/0.39  % (32083)------------------------------
% 0.20/0.39  % (32083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39  % (32083)Termination reason: Unknown
% 0.20/0.39  % (32083)Termination phase: shuffling
% 0.20/0.39  
% 0.20/0.39  % (32083)Memory used [KB]: 1663
% 0.20/0.39  % (32083)Time elapsed: 0.011 s
% 0.20/0.39  % (32083)Instructions burned: 19 (million)
% 0.20/0.39  % (32083)------------------------------
% 0.20/0.39  % (32083)------------------------------
% 0.20/0.40  % (32079)Instruction limit reached!
% 0.20/0.40  % (32079)------------------------------
% 0.20/0.40  % (32079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40  % (32079)Termination reason: Unknown
% 0.20/0.40  % (32079)Termination phase: Property scanning
% 0.20/0.40  
% 0.20/0.40  % (32079)Memory used [KB]: 1663
% 0.20/0.40  % (32079)Time elapsed: 0.014 s
% 0.20/0.40  % (32079)Instructions burned: 27 (million)
% 0.20/0.40  % (32079)------------------------------
% 0.20/0.40  % (32079)------------------------------
% 0.20/0.40  % (32085)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)
% 0.20/0.40  % (32088)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)
% 0.20/0.40  % (32087)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)
% 0.20/0.40  % (32086)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)
% 0.20/0.40  % (32087)Instruction limit reached!
% 0.20/0.40  % (32087)------------------------------
% 0.20/0.40  % (32087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40  % (32087)Termination reason: Unknown
% 0.20/0.40  % (32087)Termination phase: shuffling
% 0.20/0.40  
% 0.20/0.40  % (32087)Memory used [KB]: 1407
% 0.20/0.40  % (32087)Time elapsed: 0.004 s
% 0.20/0.40  % (32087)Instructions burned: 4 (million)
% 0.20/0.40  % (32087)------------------------------
% 0.20/0.40  % (32087)------------------------------
% 0.20/0.40  % (32082)Refutation not found, incomplete strategy
% 0.20/0.40  % (32082)------------------------------
% 0.20/0.40  % (32082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40  % (32082)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  % (32082)Memory used [KB]: 6268
% 0.20/0.40  % (32082)Time elapsed: 0.022 s
% 0.20/0.40  % (32082)Instructions burned: 40 (million)
% 0.20/0.40  % (32082)------------------------------
% 0.20/0.40  % (32082)------------------------------
% 0.20/0.41  % (32086)Instruction limit reached!
% 0.20/0.41  % (32086)------------------------------
% 0.20/0.41  % (32086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (32086)Termination reason: Unknown
% 0.20/0.41  % (32086)Termination phase: shuffling
% 0.20/0.41  
% 0.20/0.41  % (32086)Memory used [KB]: 1535
% 0.20/0.41  % (32086)Time elapsed: 0.009 s
% 0.20/0.41  % (32086)Instructions burned: 16 (million)
% 0.20/0.41  % (32086)------------------------------
% 0.20/0.41  % (32086)------------------------------
% 0.20/0.41  % (32089)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41  % (32089)Instruction limit reached!
% 0.20/0.41  % (32089)------------------------------
% 0.20/0.41  % (32089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (32089)Termination reason: Unknown
% 0.20/0.41  % (32089)Termination phase: shuffling
% 0.20/0.41  
% 0.20/0.41  % (32089)Memory used [KB]: 1407
% 0.20/0.41  % (32089)Time elapsed: 0.006 s
% 0.20/0.41  % (32089)Instructions burned: 8 (million)
% 0.20/0.41  % (32089)------------------------------
% 0.20/0.41  % (32089)------------------------------
% 0.20/0.41  % (32091)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)
% 0.20/0.41  % (32090)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41  % (32091)Instruction limit reached!
% 0.20/0.41  % (32091)------------------------------
% 0.20/0.41  % (32091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (32091)Termination reason: Unknown
% 0.20/0.41  % (32091)Termination phase: shuffling
% 0.20/0.41  
% 0.20/0.41  % (32091)Memory used [KB]: 1407
% 0.20/0.41  % (32091)Time elapsed: 0.004 s
% 0.20/0.41  % (32091)Instructions burned: 4 (million)
% 0.20/0.41  % (32091)------------------------------
% 0.20/0.41  % (32091)------------------------------
% 0.20/0.41  % (32085)Instruction limit reached!
% 0.20/0.41  % (32085)------------------------------
% 0.20/0.41  % (32085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41  % (32085)Termination reason: Unknown
% 0.20/0.41  % (32085)Termination phase: Property scanning
% 0.20/0.41  
% 0.20/0.41  % (32085)Memory used [KB]: 2046
% 0.20/0.41  % (32085)Time elapsed: 0.018 s
% 0.20/0.41  % (32085)Instructions burned: 39 (million)
% 0.20/0.41  % (32085)------------------------------
% 0.20/0.41  % (32085)------------------------------
% 0.20/0.42  % (32093)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)
% 0.20/0.42  % (32092)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)
% 0.20/0.42  % (32090)Instruction limit reached!
% 0.20/0.42  % (32090)------------------------------
% 0.20/0.42  % (32090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (32090)Termination reason: Unknown
% 0.20/0.42  % (32092)Instruction limit reached!
% 0.20/0.42  % (32092)------------------------------
% 0.20/0.42  % (32092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (32092)Termination reason: Unknown
% 0.20/0.42  % (32092)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (32092)Memory used [KB]: 1279
% 0.20/0.42  % (32092)Time elapsed: 0.003 s
% 0.20/0.42  % (32092)Instructions burned: 3 (million)
% 0.20/0.42  % (32092)------------------------------
% 0.20/0.42  % (32092)------------------------------
% 0.20/0.42  % (32090)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (32090)Memory used [KB]: 1535
% 0.20/0.42  % (32090)Time elapsed: 0.010 s
% 0.20/0.42  % (32090)Instructions burned: 18 (million)
% 0.20/0.42  % (32090)------------------------------
% 0.20/0.42  % (32090)------------------------------
% 0.20/0.42  % (32093)Instruction limit reached!
% 0.20/0.42  % (32093)------------------------------
% 0.20/0.42  % (32093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (32093)Termination reason: Unknown
% 0.20/0.42  % (32093)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (32093)Memory used [KB]: 1407
% 0.20/0.42  % (32093)Time elapsed: 0.005 s
% 0.20/0.42  % (32093)Instructions burned: 7 (million)
% 0.20/0.42  % (32093)------------------------------
% 0.20/0.42  % (32093)------------------------------
% 0.20/0.43  % (32094)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)
% 0.20/0.43  % (32096)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)
% 0.20/0.43  % (32094)Instruction limit reached!
% 0.20/0.43  % (32094)------------------------------
% 0.20/0.43  % (32094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (32094)Termination reason: Unknown
% 0.20/0.43  % (32094)Termination phase: shuffling
% 0.20/0.43  
% 0.20/0.43  % (32094)Memory used [KB]: 1407
% 0.20/0.43  % (32094)Time elapsed: 0.003 s
% 0.20/0.43  % (32094)Instructions burned: 4 (million)
% 0.20/0.43  % (32094)------------------------------
% 0.20/0.43  % (32094)------------------------------
% 0.20/0.43  % (32095)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43  % (32097)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44  % (32095)Instruction limit reached!
% 0.20/0.44  % (32095)------------------------------
% 0.20/0.44  % (32095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (32099)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)
% 0.20/0.44  % (32095)Termination reason: Unknown
% 0.20/0.44  % (32095)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (32095)Memory used [KB]: 1407
% 0.20/0.44  % (32095)Time elapsed: 0.004 s
% 0.20/0.44  % (32095)Instructions burned: 4 (million)
% 0.20/0.44  % (32095)------------------------------
% 0.20/0.44  % (32095)------------------------------
% 0.20/0.44  % (32098)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44  % (32096)Instruction limit reached!
% 0.20/0.44  % (32096)------------------------------
% 0.20/0.44  % (32096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (32096)Termination reason: Unknown
% 0.20/0.44  % (32096)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (32096)Memory used [KB]: 1535
% 0.20/0.44  % (32096)Time elapsed: 0.011 s
% 0.20/0.44  % (32096)Instructions burned: 19 (million)
% 0.20/0.44  % (32096)------------------------------
% 0.20/0.44  % (32096)------------------------------
% 0.20/0.44  % (32098)Instruction limit reached!
% 0.20/0.44  % (32098)------------------------------
% 0.20/0.44  % (32098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (32098)Termination reason: Unknown
% 0.20/0.44  % (32098)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (32098)Memory used [KB]: 1407
% 0.20/0.44  % (32098)Time elapsed: 0.004 s
% 0.20/0.44  % (32098)Instructions burned: 7 (million)
% 0.20/0.44  % (32098)------------------------------
% 0.20/0.44  % (32098)------------------------------
% 0.20/0.44  % (32100)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)
% 0.20/0.45  % (32102)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)
% 0.20/0.45  % (32103)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.45  % (32101)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.45  % (32102)Instruction limit reached!
% 0.20/0.45  % (32102)------------------------------
% 0.20/0.45  % (32102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (32102)Termination reason: Unknown
% 0.20/0.45  % (32102)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (32102)Memory used [KB]: 1407
% 0.20/0.45  % (32102)Time elapsed: 0.005 s
% 0.20/0.45  % (32102)Instructions burned: 6 (million)
% 0.20/0.45  % (32102)------------------------------
% 0.20/0.45  % (32102)------------------------------
% 0.20/0.45  % (32100)Instruction limit reached!
% 0.20/0.45  % (32100)------------------------------
% 0.20/0.45  % (32100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (32100)Termination reason: Unknown
% 0.20/0.45  % (32100)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (32100)Memory used [KB]: 1663
% 0.20/0.45  % (32100)Time elapsed: 0.012 s
% 0.20/0.45  % (32100)Instructions burned: 22 (million)
% 0.20/0.45  % (32100)------------------------------
% 0.20/0.45  % (32100)------------------------------
% 0.20/0.45  % (32088)First to succeed.
% 0.20/0.45  % (32101)Instruction limit reached!
% 0.20/0.45  % (32101)------------------------------
% 0.20/0.45  % (32101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (32101)Termination reason: Unknown
% 0.20/0.45  % (32101)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (32101)Memory used [KB]: 1407
% 0.20/0.45  % (32101)Time elapsed: 0.004 s
% 0.20/0.45  % (32101)Instructions burned: 6 (million)
% 0.20/0.45  % (32101)------------------------------
% 0.20/0.45  % (32101)------------------------------
% 0.20/0.46  % (32088)Refutation found. Thanks to Tanya!
% 0.20/0.46  % SZS status Theorem for theBenchmark
% 0.20/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46  % (32088)------------------------------
% 0.20/0.46  % (32088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (32088)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (32088)Memory used [KB]: 6908
% 0.20/0.46  % (32088)Time elapsed: 0.058 s
% 0.20/0.46  % (32088)Instructions burned: 129 (million)
% 0.20/0.46  % (32088)------------------------------
% 0.20/0.46  % (32088)------------------------------
% 0.20/0.46  % (32076)Success in time 0.088 s
% 0.20/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------