TSTP Solution File: ALG262^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG262^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 : Mon May 20 18:20:28 EDT 2024

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   58 (  33 unt;  21 typ;   0 def)
%            Number of atoms       :  146 (  49 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  252 (  10   ~;   4   |;   0   &; 212   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  137 ( 137   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  19 usr;   9 con; 0-4 aty)
%                                         (  16  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   89 (  75   ^  11   !;   2   ?;  89   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

thf(func_def_2,type,
    one: term ).

thf(func_def_3,type,
    ap: term > term > term ).

thf(func_def_4,type,
    lam: term > term ).

thf(func_def_5,type,
    sub: term > subst > term ).

thf(func_def_6,type,
    id: subst ).

thf(func_def_7,type,
    sh: subst ).

thf(func_def_8,type,
    push: term > subst > subst ).

thf(func_def_9,type,
    comp: subst > subst > subst ).

thf(func_def_10,type,
    var: term > $o ).

thf(func_def_18,type,
    hoasap: subst > term > subst > term > term ).

thf(func_def_73,type,
    hoaslam: subst > ( subst > term > term ) > term ).

thf(func_def_86,type,
    hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).

thf(func_def_107,type,
    hoasvar: subst > term > subst > $o ).

thf(func_def_121,type,
    pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).

thf(func_def_142,type,
    sK1: subst > term > subst > $o ).

thf(func_def_143,type,
    sK2: ( term > $o ) > term ).

thf(func_def_144,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(f568,plain,
    $false,
    inference(trivial_inequality_removal,[],[f566]) ).

thf(f566,plain,
    $true = $false,
    inference(superposition,[],[f534,f539]) ).

thf(f539,plain,
    ( $false
    = ( sK1 @ id
      @ ( sK2
        @ ^ [Y0: term] : ( sK1 @ id @ Y0 @ id ) )
      @ id ) ),
    inference(beta_eta_normalization,[],[f538]) ).

thf(f538,plain,
    ( ( ^ [Y0: term] :
          ( sK1
          @ ( ^ [Y1: term] : id
            @ Y0 )
          @ ( ^ [Y1: term] : Y1
            @ Y0 )
          @ ( ^ [Y1: term] : id
            @ Y0 ) )
      @ ( sK2
        @ ^ [Y0: term] :
            ( sK1
            @ ( ^ [Y1: term] : id
              @ Y0 )
            @ ( ^ [Y1: term] : Y1
              @ Y0 )
            @ ( ^ [Y1: term] : id
              @ Y0 ) ) ) )
    = $false ),
    inference(trivial_inequality_removal,[],[f537]) ).

thf(f537,plain,
    ( ( $false != $false )
    | ( ( ^ [Y0: term] :
            ( sK1
            @ ( ^ [Y1: term] : id
              @ Y0 )
            @ ( ^ [Y1: term] : Y1
              @ Y0 )
            @ ( ^ [Y1: term] : id
              @ Y0 ) )
        @ ( sK2
          @ ^ [Y0: term] :
              ( sK1
              @ ( ^ [Y1: term] : id
                @ Y0 )
              @ ( ^ [Y1: term] : Y1
                @ Y0 )
              @ ( ^ [Y1: term] : id
                @ Y0 ) ) ) )
      = $false ) ),
    inference(equality_factoring,[],[f531]) ).

thf(f531,plain,
    ! [X1: term > $o] :
      ( ( ( sK1 @ id @ ( sK2 @ X1 ) @ id )
        = $false )
      | ( $false
        = ( X1 @ ( sK2 @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f529]) ).

thf(f529,plain,
    ! [X1: term > $o] :
      ( ( sK1 @ id @ ( sK2 @ X1 ) @ id )
     != ( X1 @ ( sK2 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f528]) ).

thf(f528,plain,
    ! [X1: term > $o] :
      ( $false
      = ( ( X1 @ ( sK2 @ X1 ) )
        = ( sK1 @ id @ ( sK2 @ X1 ) @ id ) ) ),
    inference(beta_eta_normalization,[],[f527]) ).

thf(f527,plain,
    ! [X1: term > $o] :
      ( $false
      = ( ^ [Y0: term] :
            ( ( X1 @ Y0 )
            = ( sK1 @ id @ Y0 @ id ) )
        @ ( sK2 @ X1 ) ) ),
    inference(sigma_clausification,[],[f526]) ).

thf(f526,plain,
    ! [X1: term > $o] :
      ( $false
      = ( !! @ term
        @ ^ [Y0: term] :
            ( ( X1 @ Y0 )
            = ( sK1 @ id @ Y0 @ id ) ) ) ),
    inference(beta_eta_normalization,[],[f525]) ).

thf(f525,plain,
    ! [X1: term > $o] :
      ( ( ^ [Y0: term > $o] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( ( Y0 @ Y1 )
                = ( sK1 @ id @ Y1 @ id ) ) )
        @ X1 )
      = $false ),
    inference(pi_clausification,[],[f524]) ).

thf(f524,plain,
    ( ( ?? @ ( term > $o )
      @ ^ [Y0: term > $o] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( ( Y0 @ Y1 )
              = ( sK1 @ id @ Y1 @ id ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f523]) ).

thf(f523,plain,
    ( ( ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( ( Y1 @ Y2 )
                  = ( Y0 @ id @ Y2 @ id ) ) ) )
      @ sK1 )
    = $false ),
    inference(sigma_clausification,[],[f522]) ).

thf(f522,plain,
    ( $true
   != ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( ( Y1 @ Y2 )
                  = ( Y0 @ id @ Y2 @ id ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f521]) ).

thf(f521,plain,
    ( ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] :
              ( ^ [Y2: subst > term > subst > $o,Y3: term > $o] :
                  ( !! @ term
                  @ ^ [Y4: term] :
                      ( ( Y3 @ Y4 )
                      = ( Y2 @ id @ Y4 @ id ) ) )
              @ Y0
              @ Y1 ) ) )
   != $true ),
    inference(definition_unfolding,[],[f373,f507]) ).

thf(f507,plain,
    ( hoasinduction_lem0_lthm
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] :
              ( ^ [Y2: subst > term > subst > $o,Y3: term > $o] :
                  ( !! @ term
                  @ ^ [Y4: term] :
                      ( ( Y3 @ Y4 )
                      = ( Y2 @ id @ Y4 @ id ) ) )
              @ Y0
              @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f367,f467]) ).

thf(f467,plain,
    ( hoasinduction_lem0
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] :
              ( ^ [Y2: subst > term > subst > $o,Y3: term > $o] :
                  ( !! @ term
                  @ ^ [Y4: term] :
                      ( ( Y3 @ Y4 )
                      = ( Y2 @ id @ Y4 @ id ) ) )
              @ Y0
              @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f420,f401]) ).

thf(f401,plain,
    ( hoasinduction_p_and_p_prime
    = ( ^ [Y0: subst > term > subst > $o,Y1: term > $o] :
          ( !! @ term
          @ ^ [Y2: term] :
              ( ( Y1 @ Y2 )
              = ( Y0 @ id @ Y2 @ id ) ) ) ) ),
    inference(cnf_transformation,[],[f195]) ).

thf(f195,plain,
    ( hoasinduction_p_and_p_prime
    = ( ^ [Y0: subst > term > subst > $o,Y1: term > $o] :
          ( !! @ term
          @ ^ [Y2: term] :
              ( ( Y1 @ Y2 )
              = ( Y0 @ id @ Y2 @ id ) ) ) ) ),
    inference(fool_elimination,[],[f194]) ).

thf(f194,plain,
    ( hoasinduction_p_and_p_prime
    = ( ^ [X0: subst > term > subst > $o,X1: term > $o] :
        ! [X2: term] :
          ( ( X1 @ X2 )
        <=> ( X0 @ id @ X2 @ id ) ) ) ),
    inference(rectify,[],[f76]) ).

thf(f76,axiom,
    ( hoasinduction_p_and_p_prime
    = ( ^ [X5: subst > term > subst > $o,X8: term > $o] :
        ! [X9: term] :
          ( ( X8 @ X9 )
        <=> ( X5 @ id @ X9 @ id ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_p_and_p_prime) ).

thf(f420,plain,
    ( hoasinduction_lem0
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] : ( hoasinduction_p_and_p_prime @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f243]) ).

thf(f243,plain,
    ( hoasinduction_lem0
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ?? @ ( term > $o )
          @ ^ [Y1: term > $o] : ( hoasinduction_p_and_p_prime @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f242]) ).

thf(f242,plain,
    ! [X0: subst > term > subst > $o] :
    ? [X1: term > $o] :
      ( ( hoasinduction_p_and_p_prime @ X0 @ X1 )
      = hoasinduction_lem0 ),
    inference(rectify,[],[f77]) ).

thf(f77,axiom,
    ! [X5: subst > term > subst > $o] :
    ? [X8: term > $o] :
      ( ( hoasinduction_p_and_p_prime @ X5 @ X8 )
      = hoasinduction_lem0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem0) ).

thf(f367,plain,
    hoasinduction_lem0 = hoasinduction_lem0_lthm,
    inference(cnf_transformation,[],[f78]) ).

thf(f78,axiom,
    hoasinduction_lem0 = hoasinduction_lem0_lthm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem0_lthm) ).

thf(f373,plain,
    hoasinduction_lem0_lthm != $true,
    inference(cnf_transformation,[],[f329]) ).

thf(f329,plain,
    hoasinduction_lem0_lthm != $true,
    inference(flattening,[],[f257]) ).

thf(f257,plain,
    hoasinduction_lem0_lthm != $true,
    inference(fool_elimination,[],[f256]) ).

thf(f256,plain,
    ~ hoasinduction_lem0_lthm,
    inference(rectify,[],[f115]) ).

thf(f115,negated_conjecture,
    ~ hoasinduction_lem0_lthm,
    inference(negated_conjecture,[],[f114]) ).

thf(f114,conjecture,
    hoasinduction_lem0_lthm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f534,plain,
    ( $true
    = ( sK1 @ id
      @ ( sK2
        @ ^ [Y0: term] : ( sK1 @ id @ Y0 @ id ) )
      @ id ) ),
    inference(beta_eta_normalization,[],[f533]) ).

thf(f533,plain,
    ( ( ^ [Y0: term] :
          ( sK1
          @ ( ^ [Y1: term] : id
            @ Y0 )
          @ ( ^ [Y1: term] : Y1
            @ Y0 )
          @ ( ^ [Y1: term] : id
            @ Y0 ) )
      @ ( sK2
        @ ^ [Y0: term] :
            ( sK1
            @ ( ^ [Y1: term] : id
              @ Y0 )
            @ ( ^ [Y1: term] : Y1
              @ Y0 )
            @ ( ^ [Y1: term] : id
              @ Y0 ) ) ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f532]) ).

thf(f532,plain,
    ( ( ( ^ [Y0: term] :
            ( sK1
            @ ( ^ [Y1: term] : id
              @ Y0 )
            @ ( ^ [Y1: term] : Y1
              @ Y0 )
            @ ( ^ [Y1: term] : id
              @ Y0 ) )
        @ ( sK2
          @ ^ [Y0: term] :
              ( sK1
              @ ( ^ [Y1: term] : id
                @ Y0 )
              @ ( ^ [Y1: term] : Y1
                @ Y0 )
              @ ( ^ [Y1: term] : id
                @ Y0 ) ) ) )
      = $true )
    | ( $true != $true ) ),
    inference(equality_factoring,[],[f530]) ).

thf(f530,plain,
    ! [X1: term > $o] :
      ( ( $true
        = ( sK1 @ id @ ( sK2 @ X1 ) @ id ) )
      | ( $true
        = ( X1 @ ( sK2 @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f529]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ALG262^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n022.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   : Sat May 18 23:53:08 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/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  % (29830)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38  % (29830)Instruction limit reached!
% 0.13/0.38  % (29830)------------------------------
% 0.13/0.38  % (29830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (29830)Termination reason: Unknown
% 0.13/0.38  % (29830)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (29830)Memory used [KB]: 1279
% 0.13/0.38  % (29830)Time elapsed: 0.002 s
% 0.13/0.38  % (29830)Instructions burned: 3 (million)
% 0.13/0.38  % (29830)------------------------------
% 0.13/0.38  % (29830)------------------------------
% 0.13/0.38  % (29829)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)
% 0.13/0.38  % (29828)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)
% 0.13/0.39  % (29831)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)
% 0.13/0.39  % (29832)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)
% 0.13/0.39  % (29833)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39  % (29827)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39  % (29834)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)
% 0.13/0.39  % (29831)Instruction limit reached!
% 0.13/0.39  % (29831)------------------------------
% 0.13/0.39  % (29831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (29831)Termination reason: Unknown
% 0.13/0.39  % (29831)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (29831)Memory used [KB]: 1279
% 0.13/0.39  % (29831)Time elapsed: 0.004 s
% 0.13/0.39  % (29831)Instructions burned: 3 (million)
% 0.13/0.39  % (29831)------------------------------
% 0.13/0.39  % (29831)------------------------------
% 0.13/0.39  % (29834)Instruction limit reached!
% 0.13/0.39  % (29834)------------------------------
% 0.13/0.39  % (29834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (29834)Termination reason: Unknown
% 0.13/0.39  % (29834)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (29834)Memory used [KB]: 1279
% 0.13/0.39  % (29834)Time elapsed: 0.004 s
% 0.13/0.39  % (29834)Instructions burned: 3 (million)
% 0.13/0.39  % (29834)------------------------------
% 0.13/0.39  % (29834)------------------------------
% 0.13/0.39  % (29828)Instruction limit reached!
% 0.13/0.39  % (29828)------------------------------
% 0.13/0.39  % (29828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (29828)Termination reason: Unknown
% 0.13/0.39  % (29828)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (29828)Memory used [KB]: 1279
% 0.13/0.39  % (29828)Time elapsed: 0.005 s
% 0.13/0.39  % (29828)Instructions burned: 5 (million)
% 0.13/0.39  % (29828)------------------------------
% 0.13/0.39  % (29828)------------------------------
% 0.13/0.39  % (29835)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)
% 0.13/0.40  % (29833)Instruction limit reached!
% 0.13/0.40  % (29833)------------------------------
% 0.13/0.40  % (29833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (29833)Termination reason: Unknown
% 0.13/0.40  % (29833)Termination phase: Property scanning
% 0.13/0.40  
% 0.13/0.40  % (29833)Memory used [KB]: 1663
% 0.13/0.40  % (29833)Time elapsed: 0.013 s
% 0.13/0.40  % (29833)Instructions burned: 18 (million)
% 0.13/0.40  % (29833)------------------------------
% 0.13/0.40  % (29833)------------------------------
% 0.13/0.40  % (29829)Instruction limit reached!
% 0.13/0.40  % (29829)------------------------------
% 0.13/0.40  % (29829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (29829)Termination reason: Unknown
% 0.13/0.40  % (29829)Termination phase: Property scanning
% 0.13/0.40  
% 0.13/0.40  % (29829)Memory used [KB]: 1791
% 0.13/0.40  % (29829)Time elapsed: 0.016 s
% 0.13/0.40  % (29829)Instructions burned: 27 (million)
% 0.13/0.40  % (29829)------------------------------
% 0.13/0.40  % (29829)------------------------------
% 0.13/0.40  % (29832)Refutation not found, incomplete strategy
% 0.13/0.40  % (29832)------------------------------
% 0.13/0.40  % (29832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (29832)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  % (29832)Memory used [KB]: 6140
% 0.13/0.40  % (29832)Time elapsed: 0.017 s
% 0.13/0.40  % (29832)Instructions burned: 25 (million)
% 0.13/0.40  % (29832)------------------------------
% 0.13/0.40  % (29832)------------------------------
% 0.13/0.40  % (29835)Instruction limit reached!
% 0.13/0.40  % (29835)------------------------------
% 0.13/0.40  % (29835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (29835)Termination reason: Unknown
% 0.13/0.40  % (29835)Termination phase: Property scanning
% 0.13/0.40  
% 0.13/0.40  % (29835)Memory used [KB]: 1791
% 0.13/0.40  % (29835)Time elapsed: 0.013 s
% 0.13/0.40  % (29835)Instructions burned: 39 (million)
% 0.13/0.40  % (29835)------------------------------
% 0.13/0.40  % (29835)------------------------------
% 0.13/0.40  % (29836)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)
% 0.13/0.40  % (29837)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)
% 0.13/0.40  % (29838)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)
% 0.13/0.40  % (29837)Instruction limit reached!
% 0.13/0.40  % (29837)------------------------------
% 0.13/0.40  % (29837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (29837)Termination reason: Unknown
% 0.13/0.40  % (29837)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (29837)Memory used [KB]: 1279
% 0.13/0.40  % (29837)Time elapsed: 0.004 s
% 0.13/0.40  % (29837)Instructions burned: 4 (million)
% 0.13/0.40  % (29837)------------------------------
% 0.13/0.40  % (29837)------------------------------
% 0.13/0.41  % (29839)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.41  % (29841)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)
% 0.13/0.41  % (29836)Instruction limit reached!
% 0.13/0.41  % (29836)------------------------------
% 0.13/0.41  % (29836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (29836)Termination reason: Unknown
% 0.13/0.41  % (29836)Termination phase: Property scanning
% 0.13/0.41  
% 0.13/0.41  % (29836)Memory used [KB]: 1663
% 0.13/0.41  % (29836)Time elapsed: 0.012 s
% 0.13/0.41  % (29836)Instructions burned: 17 (million)
% 0.13/0.41  % (29836)------------------------------
% 0.13/0.41  % (29836)------------------------------
% 0.13/0.41  % (29841)Instruction limit reached!
% 0.13/0.41  % (29841)------------------------------
% 0.13/0.41  % (29841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (29841)Termination reason: Unknown
% 0.13/0.41  % (29841)Termination phase: shuffling
% 0.13/0.41  
% 0.13/0.41  % (29841)Memory used [KB]: 1279
% 0.13/0.41  % (29841)Time elapsed: 0.002 s
% 0.13/0.41  % (29841)Instructions burned: 3 (million)
% 0.13/0.41  % (29841)------------------------------
% 0.13/0.41  % (29841)------------------------------
% 0.13/0.41  % (29840)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.41  % (29839)Instruction limit reached!
% 0.13/0.41  % (29839)------------------------------
% 0.13/0.41  % (29839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (29839)Termination reason: Unknown
% 0.13/0.41  % (29839)Termination phase: shuffling
% 0.13/0.41  
% 0.13/0.41  % (29839)Memory used [KB]: 1407
% 0.13/0.41  % (29839)Time elapsed: 0.006 s
% 0.13/0.41  % (29839)Instructions burned: 8 (million)
% 0.13/0.41  % (29839)------------------------------
% 0.13/0.41  % (29839)------------------------------
% 0.13/0.42  % (29842)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)
% 0.13/0.42  % (29842)Instruction limit reached!
% 0.13/0.42  % (29842)------------------------------
% 0.13/0.42  % (29842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (29842)Termination reason: Unknown
% 0.13/0.42  % (29842)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (29842)Memory used [KB]: 1279
% 0.13/0.42  % (29842)Time elapsed: 0.004 s
% 0.13/0.42  % (29842)Instructions burned: 3 (million)
% 0.13/0.42  % (29842)------------------------------
% 0.13/0.42  % (29842)------------------------------
% 0.13/0.42  % (29843)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)
% 0.13/0.42  % (29845)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)
% 0.13/0.42  % (29840)Instruction limit reached!
% 0.13/0.42  % (29840)------------------------------
% 0.13/0.42  % (29840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (29840)Termination reason: Unknown
% 0.13/0.42  % (29840)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (29840)Memory used [KB]: 1535
% 0.13/0.42  % (29840)Time elapsed: 0.010 s
% 0.13/0.42  % (29840)Instructions burned: 16 (million)
% 0.13/0.42  % (29840)------------------------------
% 0.13/0.42  % (29840)------------------------------
% 0.13/0.42  % (29845)Instruction limit reached!
% 0.13/0.42  % (29845)------------------------------
% 0.13/0.42  % (29845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (29845)Termination reason: Unknown
% 0.13/0.42  % (29845)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (29845)Memory used [KB]: 1279
% 0.13/0.42  % (29845)Time elapsed: 0.003 s
% 0.13/0.42  % (29845)Instructions burned: 5 (million)
% 0.13/0.42  % (29843)Instruction limit reached!
% 0.13/0.42  % (29843)------------------------------
% 0.13/0.42  % (29843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (29845)------------------------------
% 0.13/0.42  % (29845)------------------------------
% 0.13/0.42  % (29843)Termination reason: Unknown
% 0.13/0.42  % (29843)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (29843)Memory used [KB]: 1407
% 0.13/0.42  % (29843)Time elapsed: 0.005 s
% 0.13/0.42  % (29843)Instructions burned: 7 (million)
% 0.13/0.42  % (29843)------------------------------
% 0.13/0.42  % (29843)------------------------------
% 0.13/0.43  % (29846)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.43  % (29827)First to succeed.
% 0.22/0.43  % (29846)Instruction limit reached!
% 0.22/0.43  % (29846)------------------------------
% 0.22/0.43  % (29846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (29846)Termination reason: Unknown
% 0.22/0.43  % (29846)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (29846)Memory used [KB]: 1279
% 0.22/0.43  % (29846)Time elapsed: 0.004 s
% 0.22/0.43  % (29846)Instructions burned: 5 (million)
% 0.22/0.43  % (29846)------------------------------
% 0.22/0.43  % (29846)------------------------------
% 0.22/0.43  % (29848)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)
% 0.22/0.43  % (29827)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43  % (29827)------------------------------
% 0.22/0.43  % (29827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (29827)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (29827)Memory used [KB]: 6652
% 0.22/0.43  % (29827)Time elapsed: 0.045 s
% 0.22/0.43  % (29827)Instructions burned: 91 (million)
% 0.22/0.43  % (29827)------------------------------
% 0.22/0.43  % (29827)------------------------------
% 0.22/0.43  % (29826)Success in time 0.076 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------