TSTP Solution File: NUM924^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM924^1 : 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 : n018.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 01:47:00 EDT 2024

% Result   : Theorem 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   78 (  49 unt;  29 typ;   0 def)
%            Number of atoms       :  115 (  57 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :  419 (   6   ~;   0   |;   0   &; 403   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  25 usr;  11 con; 0-2 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   37 (  14   ^  22   !;   0   ?;  37   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_6,type,
    nat: $tType ).

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

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

thf(func_def_2,type,
    one_one_int: int ).

thf(func_def_3,type,
    one_one_nat: nat ).

thf(func_def_4,type,
    plus_plus_int: int > int > int ).

thf(func_def_5,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_6,type,
    times_times_int: int > int > int ).

thf(func_def_7,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_8,type,
    zero_zero_int: int ).

thf(func_def_9,type,
    zero_zero_nat: nat ).

thf(func_def_10,type,
    zprime: int > $o ).

thf(func_def_11,type,
    bit0: int > int ).

thf(func_def_12,type,
    bit1: int > int ).

thf(func_def_13,type,
    pls: int ).

thf(func_def_14,type,
    number_number_of_int: int > int ).

thf(func_def_15,type,
    number_number_of_nat: int > nat ).

thf(func_def_16,type,
    ord_less_int: int > int > $o ).

thf(func_def_17,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_18,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_19,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_20,type,
    power_power_int: int > nat > int ).

thf(func_def_21,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_22,type,
    twoSqu1013291560sum2sq: int > $o ).

thf(func_def_23,type,
    m: int ).

thf(func_def_24,type,
    s: int ).

thf(func_def_25,type,
    t: int ).

thf(func_def_42,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f721,plain,
    $false,
    inference(trivial_inequality_removal,[],[f720]) ).

thf(f720,plain,
    $true = $false,
    inference(forward_demodulation,[],[f719,f498]) ).

thf(f498,plain,
    ( ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ pls )
    = $false ),
    inference(not_proxy_clausification,[],[f468]) ).

thf(f468,plain,
    ( $true
    = ( ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ pls ) ) ),
    inference(backward_demodulation,[],[f438,f465]) ).

thf(f465,plain,
    ! [X1: int] :
      ( ( number_number_of_int @ X1 )
      = X1 ),
    inference(equality_proxy_clausification,[],[f464]) ).

thf(f464,plain,
    ! [X1: int] :
      ( $true
      = ( ( number_number_of_int @ X1 )
        = X1 ) ),
    inference(beta_eta_normalization,[],[f463]) ).

thf(f463,plain,
    ! [X1: int] :
      ( ( ^ [Y0: int] :
            ( ( number_number_of_int @ Y0 )
            = Y0 )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f366]) ).

thf(f366,plain,
    ( $true
    = ( !! @ int
      @ ^ [Y0: int] :
          ( ( number_number_of_int @ Y0 )
          = Y0 ) ) ),
    inference(cnf_transformation,[],[f119]) ).

thf(f119,plain,
    ( $true
    = ( !! @ int
      @ ^ [Y0: int] :
          ( ( number_number_of_int @ Y0 )
          = Y0 ) ) ),
    inference(fool_elimination,[],[f118]) ).

thf(f118,plain,
    ! [X0: int] :
      ( ( number_number_of_int @ X0 )
      = X0 ),
    inference(rectify,[],[f25]) ).

thf(f25,axiom,
    ! [X13: int] :
      ( ( number_number_of_int @ X13 )
      = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_number__of__is__id) ).

thf(f438,plain,
    ( ( ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ ( number_number_of_int @ pls ) ) )
    = $true ),
    inference(definition_unfolding,[],[f396,f336]) ).

thf(f336,plain,
    ( zero_zero_int
    = ( number_number_of_int @ pls ) ),
    inference(cnf_transformation,[],[f222]) ).

thf(f222,plain,
    ( zero_zero_int
    = ( number_number_of_int @ pls ) ),
    inference(fool_elimination,[],[f106]) ).

thf(f106,axiom,
    ( zero_zero_int
    = ( number_number_of_int @ pls ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_zero__is__num__zero) ).

thf(f396,plain,
    ( ( ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ) )
    = $true ),
    inference(cnf_transformation,[],[f215]) ).

thf(f215,plain,
    ( ( ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ) )
    = $true ),
    inference(fool_elimination,[],[f214]) ).

thf(f214,plain,
    ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ),
    inference(rectify,[],[f108]) ).

thf(f108,negated_conjecture,
    ~ ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int ),
    inference(negated_conjecture,[],[f107]) ).

thf(f107,conjecture,
    ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ zero_zero_int,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f719,plain,
    ( ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ pls )
    = $true ),
    inference(forward_demodulation,[],[f714,f481]) ).

thf(f481,plain,
    ! [X1: int] :
      ( pls
      = ( times_times_int @ pls @ X1 ) ),
    inference(equality_proxy_clausification,[],[f480]) ).

thf(f480,plain,
    ! [X1: int] :
      ( ( pls
        = ( times_times_int @ pls @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f479]) ).

thf(f479,plain,
    ! [X1: int] :
      ( $true
      = ( ^ [Y0: int] :
            ( pls
            = ( times_times_int @ pls @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f401]) ).

thf(f401,plain,
    ( ( !! @ int
      @ ^ [Y0: int] :
          ( pls
          = ( times_times_int @ pls @ Y0 ) ) )
    = $true ),
    inference(cnf_transformation,[],[f163]) ).

thf(f163,plain,
    ( ( !! @ int
      @ ^ [Y0: int] :
          ( pls
          = ( times_times_int @ pls @ Y0 ) ) )
    = $true ),
    inference(fool_elimination,[],[f162]) ).

thf(f162,plain,
    ! [X0: int] :
      ( pls
      = ( times_times_int @ pls @ X0 ) ),
    inference(rectify,[],[f67]) ).

thf(f67,axiom,
    ! [X12: int] :
      ( pls
      = ( times_times_int @ pls @ X12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_mult__Pls) ).

thf(f714,plain,
    ( ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ ( times_times_int @ pls @ ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) ) )
    = $true ),
    inference(backward_demodulation,[],[f477,f701]) ).

thf(f701,plain,
    ! [X2: int,X1: int] :
      ( ( times_times_int @ X2 @ X1 )
      = ( times_times_int @ X1 @ X2 ) ),
    inference(equality_proxy_clausification,[],[f672]) ).

thf(f672,plain,
    ! [X2: int,X1: int] :
      ( ( ( times_times_int @ X1 @ X2 )
        = ( times_times_int @ X2 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f671]) ).

thf(f671,plain,
    ! [X2: int,X1: int] :
      ( ( ^ [Y0: int] :
            ( ( times_times_int @ X1 @ Y0 )
            = ( times_times_int @ Y0 @ X1 ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f666]) ).

thf(f666,plain,
    ! [X1: int] :
      ( $true
      = ( !! @ int
        @ ^ [Y0: int] :
            ( ( times_times_int @ X1 @ Y0 )
            = ( times_times_int @ Y0 @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f665]) ).

thf(f665,plain,
    ! [X1: int] :
      ( ( ^ [Y0: int] :
            ( !! @ int
            @ ^ [Y1: int] :
                ( ( times_times_int @ Y0 @ Y1 )
                = ( times_times_int @ Y1 @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f312]) ).

thf(f312,plain,
    ( ( !! @ int
      @ ^ [Y0: int] :
          ( !! @ int
          @ ^ [Y1: int] :
              ( ( times_times_int @ Y0 @ Y1 )
              = ( times_times_int @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f149]) ).

thf(f149,plain,
    ( ( !! @ int
      @ ^ [Y0: int] :
          ( !! @ int
          @ ^ [Y1: int] :
              ( ( times_times_int @ Y0 @ Y1 )
              = ( times_times_int @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f148]) ).

thf(f148,plain,
    ! [X0: int,X1: int] :
      ( ( times_times_int @ X1 @ X0 )
      = ( times_times_int @ X0 @ X1 ) ),
    inference(rectify,[],[f26]) ).

thf(f26,axiom,
    ! [X12: int,X14: int] :
      ( ( times_times_int @ X14 @ X12 )
      = ( times_times_int @ X12 @ X14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_zmult__commute) ).

thf(f477,plain,
    ( $true
    = ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) @ m ) @ one_one_int ) @ pls ) ) ),
    inference(forward_demodulation,[],[f467,f465]) ).

thf(f467,plain,
    ( $true
    = ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ pls ) ) ),
    inference(backward_demodulation,[],[f448,f465]) ).

thf(f448,plain,
    ( ( ord_less_int @ ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ ( number_number_of_int @ pls ) ) )
    = $true ),
    inference(backward_demodulation,[],[f435,f391]) ).

thf(f391,plain,
    ( ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t )
    = ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) ),
    inference(cnf_transformation,[],[f128]) ).

thf(f128,plain,
    ( ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t )
    = ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,axiom,
    ( ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t )
    = ( plus_plus_int @ ( power_power_int @ s @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ one_one_int ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).

thf(f435,plain,
    ( $true
    = ( ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ ( number_number_of_int @ pls ) ) ) ),
    inference(definition_unfolding,[],[f382,f336]) ).

thf(f382,plain,
    ( ( ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ) )
    = $true ),
    inference(cnf_transformation,[],[f230]) ).

thf(f230,plain,
    ( ( ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ) )
    = $true ),
    inference(fool_elimination,[],[f229]) ).

thf(f229,plain,
    ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ord_less_int @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ t ) @ ( times_times_int @ ( plus_plus_int @ ( times_times_int @ ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ one_one_int ) @ zero_zero_int ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM924^1 : TPTP v8.2.0. Released v5.3.0.
% 0.03/0.14  % 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 : n018.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 04:38:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.36  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
% 0.21/0.38  % (1724)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)
% 0.21/0.38  % (1721)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)
% 0.21/0.38  % (1725)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)
% 0.21/0.38  % (1720)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38  % (1726)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38  % (1724)Instruction limit reached!
% 0.21/0.38  % (1724)------------------------------
% 0.21/0.38  % (1724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (1724)Termination reason: Unknown
% 0.21/0.38  % (1724)Termination phase: shuffling
% 0.21/0.38  
% 0.21/0.38  % (1724)Memory used [KB]: 1023
% 0.21/0.38  % (1724)Time elapsed: 0.003 s
% 0.21/0.38  % (1724)Instructions burned: 2 (million)
% 0.21/0.38  % (1724)------------------------------
% 0.21/0.38  % (1724)------------------------------
% 0.21/0.38  % (1721)Instruction limit reached!
% 0.21/0.38  % (1721)------------------------------
% 0.21/0.38  % (1721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (1721)Termination reason: Unknown
% 0.21/0.38  % (1721)Termination phase: shuffling
% 0.21/0.38  
% 0.21/0.38  % (1721)Memory used [KB]: 1151
% 0.21/0.38  % (1721)Time elapsed: 0.004 s
% 0.21/0.38  % (1721)Instructions burned: 4 (million)
% 0.21/0.38  % (1721)------------------------------
% 0.21/0.38  % (1721)------------------------------
% 0.21/0.38  % (1723)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (1727)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)
% 0.21/0.38  % (1723)Instruction limit reached!
% 0.21/0.38  % (1723)------------------------------
% 0.21/0.38  % (1723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (1723)Termination reason: Unknown
% 0.21/0.38  % (1723)Termination phase: shuffling
% 0.21/0.38  
% 0.21/0.38  % (1723)Memory used [KB]: 1023
% 0.21/0.38  % (1723)Time elapsed: 0.004 s
% 0.21/0.38  % (1723)Instructions burned: 2 (million)
% 0.21/0.38  % (1723)------------------------------
% 0.21/0.38  % (1723)------------------------------
% 0.21/0.39  % (1727)Instruction limit reached!
% 0.21/0.39  % (1727)------------------------------
% 0.21/0.39  % (1727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (1727)Termination reason: Unknown
% 0.21/0.39  % (1727)Termination phase: shuffling
% 0.21/0.39  
% 0.21/0.39  % (1727)Memory used [KB]: 1151
% 0.21/0.39  % (1727)Time elapsed: 0.004 s
% 0.21/0.39  % (1727)Instructions burned: 4 (million)
% 0.21/0.39  % (1727)------------------------------
% 0.21/0.39  % (1727)------------------------------
% 0.21/0.39  % (1726)Instruction limit reached!
% 0.21/0.39  % (1726)------------------------------
% 0.21/0.39  % (1726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (1726)Termination reason: Unknown
% 0.21/0.39  % (1726)Termination phase: Property scanning
% 0.21/0.39  
% 0.21/0.39  % (1726)Memory used [KB]: 1279
% 0.21/0.39  % (1726)Time elapsed: 0.012 s
% 0.21/0.39  % (1726)Instructions burned: 19 (million)
% 0.21/0.39  % (1726)------------------------------
% 0.21/0.39  % (1726)------------------------------
% 0.21/0.39  % (1722)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)
% 0.21/0.39  % (1728)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)
% 0.21/0.40  % (1729)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)
% 0.21/0.40  % (1730)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)
% 0.21/0.40  % (1731)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)
% 0.21/0.40  % (1730)Instruction limit reached!
% 0.21/0.40  % (1730)------------------------------
% 0.21/0.40  % (1730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (1730)Termination reason: Unknown
% 0.21/0.40  % (1730)Termination phase: shuffling
% 0.21/0.40  
% 0.21/0.40  % (1730)Memory used [KB]: 1151
% 0.21/0.40  % (1730)Time elapsed: 0.004 s
% 0.21/0.40  % (1730)Instructions burned: 4 (million)
% 0.21/0.40  % (1730)------------------------------
% 0.21/0.40  % (1730)------------------------------
% 0.21/0.40  % (1729)Instruction limit reached!
% 0.21/0.40  % (1729)------------------------------
% 0.21/0.40  % (1729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (1729)Termination reason: Unknown
% 0.21/0.40  % (1729)Termination phase: Property scanning
% 0.21/0.40  
% 0.21/0.41  % (1729)Memory used [KB]: 1279
% 0.21/0.41  % (1729)Time elapsed: 0.010 s
% 0.21/0.41  % (1729)Instructions burned: 15 (million)
% 0.21/0.41  % (1729)------------------------------
% 0.21/0.41  % (1729)------------------------------
% 0.21/0.41  % (1732)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41  % (1722)Instruction limit reached!
% 0.21/0.41  % (1722)------------------------------
% 0.21/0.41  % (1722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (1722)Termination reason: Unknown
% 0.21/0.41  % (1722)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (1722)Memory used [KB]: 5884
% 0.21/0.41  % (1722)Time elapsed: 0.017 s
% 0.21/0.41  % (1722)Instructions burned: 28 (million)
% 0.21/0.41  % (1722)------------------------------
% 0.21/0.41  % (1722)------------------------------
% 0.21/0.41  % (1732)Instruction limit reached!
% 0.21/0.41  % (1732)------------------------------
% 0.21/0.41  % (1732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (1732)Termination reason: Unknown
% 0.21/0.41  % (1732)Termination phase: Property scanning
% 0.21/0.41  
% 0.21/0.41  % (1732)Memory used [KB]: 1151
% 0.21/0.41  % (1732)Time elapsed: 0.006 s
% 0.21/0.41  % (1732)Instructions burned: 7 (million)
% 0.21/0.41  % (1732)------------------------------
% 0.21/0.41  % (1732)------------------------------
% 0.21/0.41  % (1728)Instruction limit reached!
% 0.21/0.41  % (1728)------------------------------
% 0.21/0.41  % (1728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (1728)Termination reason: Unknown
% 0.21/0.41  % (1728)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (1728)Memory used [KB]: 5756
% 0.21/0.41  % (1728)Time elapsed: 0.017 s
% 0.21/0.41  % (1728)Instructions burned: 38 (million)
% 0.21/0.41  % (1728)------------------------------
% 0.21/0.41  % (1728)------------------------------
% 0.21/0.41  % (1733)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42  % (1734)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)
% 0.21/0.42  % (1735)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)
% 0.21/0.42  % (1734)Instruction limit reached!
% 0.21/0.42  % (1734)------------------------------
% 0.21/0.42  % (1734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (1734)Termination reason: Unknown
% 0.21/0.42  % (1734)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (1734)Memory used [KB]: 1151
% 0.21/0.42  % (1734)Time elapsed: 0.004 s
% 0.21/0.42  % (1734)Instructions burned: 4 (million)
% 0.21/0.42  % (1734)------------------------------
% 0.21/0.42  % (1734)------------------------------
% 0.21/0.42  % (1735)Instruction limit reached!
% 0.21/0.42  % (1735)------------------------------
% 0.21/0.42  % (1735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (1735)Termination reason: Unknown
% 0.21/0.42  % (1735)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (1735)Memory used [KB]: 1151
% 0.21/0.42  % (1735)Time elapsed: 0.004 s
% 0.21/0.42  % (1735)Instructions burned: 4 (million)
% 0.21/0.42  % (1735)------------------------------
% 0.21/0.42  % (1735)------------------------------
% 0.21/0.42  % (1737)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)
% 0.21/0.42  % (1733)Instruction limit reached!
% 0.21/0.42  % (1733)------------------------------
% 0.21/0.42  % (1733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (1733)Termination reason: Unknown
% 0.21/0.42  % (1733)Termination phase: Property scanning
% 0.21/0.42  
% 0.21/0.42  % (1733)Memory used [KB]: 1279
% 0.21/0.42  % (1733)Time elapsed: 0.011 s
% 0.21/0.42  % (1733)Instructions burned: 17 (million)
% 0.21/0.42  % (1733)------------------------------
% 0.21/0.42  % (1733)------------------------------
% 0.21/0.42  % (1736)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)
% 0.21/0.42  % (1737)Instruction limit reached!
% 0.21/0.42  % (1737)------------------------------
% 0.21/0.42  % (1737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (1737)Termination reason: Unknown
% 0.21/0.42  % (1737)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (1737)Memory used [KB]: 1151
% 0.21/0.42  % (1737)Time elapsed: 0.003 s
% 0.21/0.42  % (1737)Instructions burned: 4 (million)
% 0.21/0.42  % (1737)------------------------------
% 0.21/0.42  % (1737)------------------------------
% 0.21/0.43  % (1736)Instruction limit reached!
% 0.21/0.43  % (1736)------------------------------
% 0.21/0.43  % (1736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (1736)Termination reason: Unknown
% 0.21/0.43  % (1736)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (1736)Memory used [KB]: 1151
% 0.21/0.43  % (1736)Time elapsed: 0.006 s
% 0.21/0.43  % (1736)Instructions burned: 7 (million)
% 0.21/0.43  % (1736)------------------------------
% 0.21/0.43  % (1736)------------------------------
% 0.21/0.43  % (1741)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44  % (1741)Instruction limit reached!
% 0.21/0.44  % (1741)------------------------------
% 0.21/0.44  % (1741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (1741)Termination reason: Unknown
% 0.21/0.44  % (1741)Termination phase: Preprocessing 1
% 0.21/0.44  
% 0.21/0.44  % (1741)Memory used [KB]: 1151
% 0.21/0.44  % (1741)Time elapsed: 0.004 s
% 0.21/0.44  % (1741)Instructions burned: 10 (million)
% 0.21/0.44  % (1741)------------------------------
% 0.21/0.44  % (1741)------------------------------
% 0.21/0.44  % (1739)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)
% 0.21/0.44  % (1740)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44  % (1738)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44  % (1738)Instruction limit reached!
% 0.21/0.44  % (1738)------------------------------
% 0.21/0.44  % (1738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (1738)Termination reason: Unknown
% 0.21/0.44  % (1738)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (1738)Memory used [KB]: 1151
% 0.21/0.44  % (1738)Time elapsed: 0.005 s
% 0.21/0.44  % (1738)Instructions burned: 5 (million)
% 0.21/0.44  % (1738)------------------------------
% 0.21/0.44  % (1738)------------------------------
% 0.21/0.44  % (1742)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)
% 0.21/0.45  % (1739)Instruction limit reached!
% 0.21/0.45  % (1739)------------------------------
% 0.21/0.45  % (1739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (1739)Termination reason: Unknown
% 0.21/0.45  % (1739)Termination phase: Property scanning
% 0.21/0.45  
% 0.21/0.45  % (1739)Memory used [KB]: 1279
% 0.21/0.45  % (1739)Time elapsed: 0.011 s
% 0.21/0.45  % (1739)Instructions burned: 18 (million)
% 0.21/0.45  % (1739)------------------------------
% 0.21/0.45  % (1739)------------------------------
% 0.21/0.45  % (1743)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)
% 0.21/0.46  % (1744)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.46  % (1745)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)
% 0.21/0.46  % (1743)Instruction limit reached!
% 0.21/0.46  % (1743)------------------------------
% 0.21/0.46  % (1743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (1743)Termination reason: Unknown
% 0.21/0.46  % (1743)Termination phase: Function definition elimination
% 0.21/0.46  
% 0.21/0.46  % (1743)Memory used [KB]: 1279
% 0.21/0.46  % (1743)Time elapsed: 0.013 s
% 0.21/0.46  % (1743)Instructions burned: 21 (million)
% 0.21/0.46  % (1743)------------------------------
% 0.21/0.46  % (1743)------------------------------
% 0.21/0.46  % (1745)Instruction limit reached!
% 0.21/0.46  % (1745)------------------------------
% 0.21/0.46  % (1745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (1745)Termination reason: Unknown
% 0.21/0.46  % (1745)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (1745)Memory used [KB]: 1151
% 0.21/0.46  % (1745)Time elapsed: 0.005 s
% 0.21/0.46  % (1745)Instructions burned: 6 (million)
% 0.21/0.46  % (1745)------------------------------
% 0.21/0.46  % (1745)------------------------------
% 0.21/0.46  % (1744)Instruction limit reached!
% 0.21/0.46  % (1744)------------------------------
% 0.21/0.46  % (1744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (1744)Termination reason: Unknown
% 0.21/0.46  % (1744)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (1744)Memory used [KB]: 1151
% 0.21/0.46  % (1744)Time elapsed: 0.006 s
% 0.21/0.46  % (1744)Instructions burned: 5 (million)
% 0.21/0.46  % (1744)------------------------------
% 0.21/0.46  % (1744)------------------------------
% 0.21/0.47  % (1731)First to succeed.
% 0.21/0.47  % (1731)Refutation found. Thanks to Tanya!
% 0.21/0.47  % SZS status Theorem for theBenchmark
% 0.21/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47  % (1731)------------------------------
% 0.21/0.47  % (1731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (1731)Termination reason: Refutation
% 0.21/0.47  
% 0.21/0.47  % (1731)Memory used [KB]: 6268
% 0.21/0.47  % (1731)Time elapsed: 0.073 s
% 0.21/0.47  % (1731)Instructions burned: 107 (million)
% 0.21/0.47  % (1731)------------------------------
% 0.21/0.47  % (1731)------------------------------
% 0.21/0.47  % (1719)Success in time 0.111 s
% 0.21/0.47  % Vampire---4.8 exiting
%------------------------------------------------------------------------------