TSTP Solution File: NUM637^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM637^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n010.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 01:43:58 EDT 2024

% Result   : Theorem 0.25s 0.54s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   88 (  35 unt;  11 typ;   0 def)
%            Number of atoms       :  367 ( 130 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  578 (  64   ~;  56   |;   0   &; 376   @)
%                                         (   2 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   51 (  51   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   9 usr;   7 con; 0-2 aty)
%                                         (  36  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  139 (  59   ^  79   !;   0   ?; 139   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_1,type,
    x: nat ).

thf(func_def_2,type,
    n_1: nat ).

thf(func_def_3,type,
    suc: nat > nat ).

thf(func_def_4,type,
    set: $tType ).

thf(func_def_5,type,
    esti: nat > set > $o ).

thf(func_def_6,type,
    setof: ( nat > $o ) > set ).

thf(func_def_18,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_19,type,
    sK2: set > nat ).

thf(f1725,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1508,f1540,f1724]) ).

thf(f1724,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f1723]) ).

thf(f1723,plain,
    ( $false
    | ~ spl0_12 ),
    inference(equality_resolution,[],[f1678]) ).

thf(f1678,plain,
    ( ! [X0: nat] : ( x != X0 )
    | ~ spl0_12 ),
    inference(equality_proxy_clausification,[],[f1658]) ).

thf(f1658,plain,
    ( ! [X0: nat] :
        ( ( x = X0 )
        = $false )
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1643]) ).

thf(f1643,plain,
    ( ! [X0: nat] :
        ( ( $true = $false )
        | ( ( x = X0 )
          = $false ) )
    | ~ spl0_12 ),
    inference(superposition,[],[f1595,f115]) ).

thf(f115,plain,
    ! [X0: nat,X4: nat > $o] :
      ( ( ( ~ ( X4 @ X0 ) )
        = $false )
      | ( ( X4 @ X0 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f95]) ).

thf(f95,plain,
    ! [X0: nat,X4: nat > $o] :
      ( ( $true
        = ( ~ ( X4 @ X0 ) ) )
      | ( ( ~ ( X4 @ X0 ) )
        = $false ) ),
    inference(beta_eta_normalization,[],[f87]) ).

thf(f87,plain,
    ! [X0: nat,X4: nat > $o] :
      ( ( $true
        = ( ^ [Y0: nat] :
              ~ ( X4 @ Y0 )
          @ X0 ) )
      | ( ( ^ [Y0: nat] :
              ~ ( X4 @ Y0 )
          @ X0 )
        = $false ) ),
    inference(primitive_instantiation,[],[f81]) ).

thf(f81,plain,
    ! [X0: nat,X1: nat > $o] :
      ( ( $true
        = ( X1 @ X0 ) )
      | ( ( X1 @ X0 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f70]) ).

thf(f70,plain,
    ! [X0: nat,X1: nat > $o] :
      ( ( $true
        = ( X1 @ X0 ) )
      | ( $true = $false )
      | ( ( X1 @ X0 )
        = $false ) ),
    inference(superposition,[],[f53,f41]) ).

thf(f41,plain,
    ! [X2: nat > $o,X1: nat] :
      ( ( ( esti @ X1 @ ( setof @ X2 ) )
        = $false )
      | ( $true
        = ( X2 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f40,plain,
    ! [X2: nat > $o,X1: nat] :
      ( $true
      = ( ( esti @ X1 @ ( setof @ X2 ) )
       => ( X2 @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f39]) ).

thf(f39,plain,
    ! [X2: nat > $o,X1: nat] :
      ( $true
      = ( ^ [Y0: nat > $o] :
            ( ( esti @ X1 @ ( setof @ Y0 ) )
           => ( Y0 @ X1 ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f38]) ).

thf(f38,plain,
    ! [X1: nat] :
      ( $true
      = ( !! @ ( nat > $o )
        @ ^ [Y0: nat > $o] :
            ( ( esti @ X1 @ ( setof @ Y0 ) )
           => ( Y0 @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f37]) ).

thf(f37,plain,
    ! [X1: nat] :
      ( $true
      = ( ^ [Y0: nat] :
            ( !! @ ( nat > $o )
            @ ^ [Y1: nat > $o] :
                ( ( esti @ Y0 @ ( setof @ Y1 ) )
               => ( Y1 @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f22]) ).

thf(f22,plain,
    ( $true
    = ( !! @ nat
      @ ^ [Y0: nat] :
          ( !! @ ( nat > $o )
          @ ^ [Y1: nat > $o] :
              ( ( esti @ Y0 @ ( setof @ Y1 ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f15,plain,
    ( $true
    = ( !! @ nat
      @ ^ [Y0: nat] :
          ( !! @ ( nat > $o )
          @ ^ [Y1: nat > $o] :
              ( ( esti @ Y0 @ ( setof @ Y1 ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f14]) ).

thf(f14,plain,
    ! [X0: nat > $o,X1: nat] :
      ( ( esti @ X1 @ ( setof @ X0 ) )
     => ( X0 @ X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: nat > $o,X1: nat] :
      ( ( esti @ X1 @ ( setof @ X0 ) )
     => ( X0 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estie) ).

thf(f53,plain,
    ! [X2: nat,X1: nat > $o] :
      ( ( ( esti @ X2 @ ( setof @ X1 ) )
        = $true )
      | ( $false
        = ( X1 @ X2 ) ) ),
    inference(binary_proxy_clausification,[],[f52]) ).

thf(f52,plain,
    ! [X2: nat,X1: nat > $o] :
      ( $true
      = ( ( X1 @ X2 )
       => ( esti @ X2 @ ( setof @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f51]) ).

thf(f51,plain,
    ! [X2: nat,X1: nat > $o] :
      ( $true
      = ( ^ [Y0: nat] :
            ( ( X1 @ Y0 )
           => ( esti @ Y0 @ ( setof @ X1 ) ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f48]) ).

thf(f48,plain,
    ! [X1: nat > $o] :
      ( $true
      = ( !! @ nat
        @ ^ [Y0: nat] :
            ( ( X1 @ Y0 )
           => ( esti @ Y0 @ ( setof @ X1 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f47]) ).

thf(f47,plain,
    ! [X1: nat > $o] :
      ( $true
      = ( ^ [Y0: nat > $o] :
            ( !! @ nat
            @ ^ [Y1: nat] :
                ( ( Y0 @ Y1 )
               => ( esti @ Y1 @ ( setof @ Y0 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f25]) ).

thf(f25,plain,
    ( $true
    = ( !! @ ( nat > $o )
      @ ^ [Y0: nat > $o] :
          ( !! @ nat
          @ ^ [Y1: nat] :
              ( ( Y0 @ Y1 )
             => ( esti @ Y1 @ ( setof @ Y0 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f19]) ).

thf(f19,plain,
    ( $true
    = ( !! @ ( nat > $o )
      @ ^ [Y0: nat > $o] :
          ( !! @ nat
          @ ^ [Y1: nat] :
              ( ( Y0 @ Y1 )
             => ( esti @ Y1 @ ( setof @ Y0 ) ) ) ) ) ),
    inference(fool_elimination,[],[f18]) ).

thf(f18,plain,
    ! [X0: nat,X1: nat > $o] :
      ( ( X1 @ X0 )
     => ( esti @ X0 @ ( setof @ X1 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X1: nat,X0: nat > $o] :
      ( ( X0 @ X1 )
     => ( esti @ X1 @ ( setof @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estii) ).

thf(f1595,plain,
    ( ! [X0: nat] :
        ( $true
        = ( x != X0 ) )
    | ~ spl0_12 ),
    inference(beta_eta_normalization,[],[f1594]) ).

thf(f1594,plain,
    ( ! [X0: nat] :
        ( ( ^ [Y0: nat] : ( x != Y0 )
          @ X0 )
        = $true )
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1541]) ).

thf(f1541,plain,
    ( ! [X0: nat] :
        ( ( ( ^ [Y0: nat] : ( x != Y0 )
            @ X0 )
          = $true )
        | ( $true = $false ) )
    | ~ spl0_12 ),
    inference(superposition,[],[f1507,f41]) ).

thf(f1507,plain,
    ( ! [X0: nat] :
        ( $true
        = ( esti @ X0
          @ ( setof
            @ ^ [Y0: nat] : ( x != Y0 ) ) ) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1506]) ).

thf(f1506,plain,
    ( spl0_12
  <=> ! [X0: nat] :
        ( $true
        = ( esti @ X0
          @ ( setof
            @ ^ [Y0: nat] : ( x != Y0 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

thf(f1540,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f1539]) ).

thf(f1539,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1528,f20]) ).

thf(f20,plain,
    x != n_1,
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    x != n_1,
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    x != n_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).

thf(f1528,plain,
    ( ( x = n_1 )
    | ~ spl0_11 ),
    inference(equality_proxy_clausification,[],[f1523]) ).

thf(f1523,plain,
    ( ( ( x = n_1 )
      = $true )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1516]) ).

thf(f1516,plain,
    ( ( $true = $false )
    | ( ( x = n_1 )
      = $true )
    | ~ spl0_11 ),
    inference(superposition,[],[f1504,f66]) ).

thf(f66,plain,
    ! [X0: nat,X1: nat > $o] :
      ( ( $true
        = ( ~ ( X1 @ X0 ) ) )
      | ( $true
        = ( X1 @ X0 ) ) ),
    inference(boolean_simplification,[],[f63]) ).

thf(f63,plain,
    ! [X0: nat,X1: nat > $o] :
      ( ( $true
        = ( ( X1 @ X0 )
         => $false ) )
      | ( $true
        = ( X1 @ X0 ) ) ),
    inference(superposition,[],[f52,f41]) ).

thf(f1504,plain,
    ( ( ( x != n_1 )
      = $false )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1503]) ).

thf(f1503,plain,
    ( spl0_11
  <=> ( ( x != n_1 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

thf(f1508,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f1293,f1506,f1503]) ).

thf(f1293,plain,
    ! [X0: nat] :
      ( ( $true
        = ( esti @ X0
          @ ( setof
            @ ^ [Y0: nat] : ( x != Y0 ) ) ) )
      | ( ( x != n_1 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f1292]) ).

thf(f1292,plain,
    ! [X0: nat] :
      ( ( ( x != n_1 )
        = $false )
      | ( $true
        = ( esti @ X0
          @ ( setof
            @ ^ [Y0: nat] : ( x != Y0 ) ) ) )
      | ( $true = $false ) ),
    inference(boolean_simplification,[],[f1283]) ).

thf(f1283,plain,
    ! [X0: nat] :
      ( ( $false = ~ $false )
      | ( $true
        = ( esti @ X0
          @ ( setof
            @ ^ [Y0: nat] : ( x != Y0 ) ) ) )
      | ( ( x != n_1 )
        = $false ) ),
    inference(superposition,[],[f878,f33]) ).

thf(f33,plain,
    ! [X1: nat] :
      ( $false
      = ( x
        = ( suc @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f32]) ).

thf(f32,plain,
    ! [X1: nat] :
      ( $true
      = ( x
       != ( suc @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f31]) ).

thf(f31,plain,
    ! [X1: nat] :
      ( $true
      = ( ^ [Y0: nat] :
            ( x
           != ( suc @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f28]) ).

thf(f28,plain,
    ( $true
    = ( !! @ nat
      @ ^ [Y0: nat] :
          ( x
         != ( suc @ Y0 ) ) ) ),
    inference(boolean_simplification,[],[f21]) ).

thf(f21,plain,
    ( $true
    = ( ~ ~ ( !! @ nat
            @ ^ [Y0: nat] :
                ( x
               != ( suc @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ( $true
    = ( ~ ~ ( !! @ nat
            @ ^ [Y0: nat] :
                ( x
               != ( suc @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f16]) ).

thf(f16,plain,
    ~ ~ ! [X0: nat] :
          ( x
         != ( suc @ X0 ) ),
    inference(rectify,[],[f7]) ).

thf(f7,negated_conjecture,
    ~ ~ ! [X4: nat] :
          ( x
         != ( suc @ X4 ) ),
    inference(negated_conjecture,[],[f6]) ).

thf(f6,conjecture,
    ~ ! [X4: nat] :
        ( x
       != ( suc @ X4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz3) ).

thf(f878,plain,
    ! [X1: nat,X4: nat > $o] :
      ( ( ( ~ ( X4
              @ ( suc
                @ ( sK2
                  @ ( setof
                    @ ^ [Y0: nat] :
                        ~ ( X4 @ Y0 ) ) ) ) ) )
        = $false )
      | ( $true
        = ( esti @ X1
          @ ( setof
            @ ^ [Y0: nat] :
                ~ ( X4 @ Y0 ) ) ) )
      | ( ( ~ ( X4 @ n_1 ) )
        = $false ) ),
    inference(beta_eta_normalization,[],[f857]) ).

thf(f857,plain,
    ! [X1: nat,X4: nat > $o] :
      ( ( $true
        = ( esti @ X1
          @ ( setof
            @ ^ [Y0: nat] :
                ~ ( X4 @ Y0 ) ) ) )
      | ( $false
        = ( ^ [Y0: nat] :
              ~ ( X4 @ Y0 )
          @ n_1 ) )
      | ( ( ^ [Y0: nat] :
              ~ ( X4 @ Y0 )
          @ ( suc
            @ ( sK2
              @ ( setof
                @ ^ [Y0: nat] :
                    ~ ( X4 @ Y0 ) ) ) ) )
        = $false ) ),
    inference(primitive_instantiation,[],[f825]) ).

thf(f825,plain,
    ! [X0: nat > $o,X1: nat] :
      ( ( ( X0 @ ( suc @ ( sK2 @ ( setof @ X0 ) ) ) )
        = $false )
      | ( ( X0 @ n_1 )
        = $false )
      | ( ( esti @ X1 @ ( setof @ X0 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f821]) ).

thf(f821,plain,
    ! [X0: nat > $o,X1: nat] :
      ( ( $true
        = ( ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) )
          @ X1 ) )
      | ( ( X0 @ ( suc @ ( sK2 @ ( setof @ X0 ) ) ) )
        = $false )
      | ( ( X0 @ n_1 )
        = $false ) ),
    inference(pi_clausification,[],[f787]) ).

thf(f787,plain,
    ! [X0: nat > $o] :
      ( ( $true
        = ( !! @ nat
          @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) )
      | ( ( X0 @ n_1 )
        = $false )
      | ( ( X0 @ ( suc @ ( sK2 @ ( setof @ X0 ) ) ) )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f786]) ).

thf(f786,plain,
    ! [X0: nat > $o] :
      ( ( $true
        = ( !! @ nat
          @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) )
      | ( $true = $false )
      | ( ( X0 @ n_1 )
        = $false )
      | ( ( X0 @ ( suc @ ( sK2 @ ( setof @ X0 ) ) ) )
        = $false ) ),
    inference(boolean_simplification,[],[f765]) ).

thf(f765,plain,
    ! [X0: nat > $o] :
      ( ( ( X0 @ n_1 )
        = $false )
      | ( ( ( esti @ ( sK2 @ ( setof @ X0 ) ) @ ( setof @ X0 ) )
         => $true )
        = $false )
      | ( $true
        = ( !! @ nat
          @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) )
      | ( ( X0 @ ( suc @ ( sK2 @ ( setof @ X0 ) ) ) )
        = $false ) ),
    inference(superposition,[],[f753,f53]) ).

thf(f753,plain,
    ! [X0: nat > $o] :
      ( ( ( ( esti @ ( sK2 @ ( setof @ X0 ) ) @ ( setof @ X0 ) )
         => ( esti @ ( suc @ ( sK2 @ ( setof @ X0 ) ) ) @ ( setof @ X0 ) ) )
        = $false )
      | ( $true
        = ( !! @ nat
          @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) )
      | ( ( X0 @ n_1 )
        = $false ) ),
    inference(beta_eta_normalization,[],[f744]) ).

thf(f744,plain,
    ! [X0: nat > $o] :
      ( ( ( X0 @ n_1 )
        = $false )
      | ( $true
        = ( !! @ nat
          @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) )
      | ( ( ^ [Y0: nat] :
              ( ( esti @ Y0 @ ( setof @ X0 ) )
             => ( esti @ ( suc @ Y0 ) @ ( setof @ X0 ) ) )
          @ ( sK2 @ ( setof @ X0 ) ) )
        = $false ) ),
    inference(sigma_clausification,[],[f713]) ).

thf(f713,plain,
    ! [X0: nat > $o] :
      ( ( ( !! @ nat
          @ ^ [Y0: nat] :
              ( ( esti @ Y0 @ ( setof @ X0 ) )
             => ( esti @ ( suc @ Y0 ) @ ( setof @ X0 ) ) ) )
        = $false )
      | ( $true
        = ( !! @ nat
          @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) )
      | ( ( X0 @ n_1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f79]) ).

thf(f79,plain,
    ! [X0: nat > $o] :
      ( ( $true
        = ( ( !! @ nat
            @ ^ [Y0: nat] :
                ( ( esti @ Y0 @ ( setof @ X0 ) )
               => ( esti @ ( suc @ Y0 ) @ ( setof @ X0 ) ) ) )
         => ( !! @ nat
            @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) ) )
      | ( ( X0 @ n_1 )
        = $false ) ),
    inference(boolean_simplification,[],[f75]) ).

thf(f75,plain,
    ! [X0: nat > $o] :
      ( ( $true
        = ( $true
         => ( ( !! @ nat
              @ ^ [Y0: nat] :
                  ( ( esti @ Y0 @ ( setof @ X0 ) )
                 => ( esti @ ( suc @ Y0 ) @ ( setof @ X0 ) ) ) )
           => ( !! @ nat
              @ ^ [Y0: nat] : ( esti @ Y0 @ ( setof @ X0 ) ) ) ) ) )
      | ( ( X0 @ n_1 )
        = $false ) ),
    inference(superposition,[],[f61,f53]) ).

thf(f61,plain,
    ! [X1: set] :
      ( ( ( esti @ n_1 @ X1 )
       => ( ( !! @ nat
            @ ^ [Y0: nat] :
                ( ( esti @ Y0 @ X1 )
               => ( esti @ ( suc @ Y0 ) @ X1 ) ) )
         => ( !! @ nat
            @ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f60]) ).

thf(f60,plain,
    ! [X1: set] :
      ( $true
      = ( ^ [Y0: set] :
            ( ( esti @ n_1 @ Y0 )
           => ( ( !! @ nat
                @ ^ [Y1: nat] :
                    ( ( esti @ Y1 @ Y0 )
                   => ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
             => ( !! @ nat
                @ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f23]) ).

thf(f23,plain,
    ( ( !! @ set
      @ ^ [Y0: set] :
          ( ( esti @ n_1 @ Y0 )
         => ( ( !! @ nat
              @ ^ [Y1: nat] :
                  ( ( esti @ Y1 @ Y0 )
                 => ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
           => ( !! @ nat
              @ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ( !! @ set
      @ ^ [Y0: set] :
          ( ( esti @ n_1 @ Y0 )
         => ( ( !! @ nat
              @ ^ [Y1: nat] :
                  ( ( esti @ Y1 @ Y0 )
                 => ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
           => ( !! @ nat
              @ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f9]) ).

thf(f9,plain,
    ! [X0: set] :
      ( ( esti @ n_1 @ X0 )
     => ( ! [X1: nat] :
            ( ( esti @ X1 @ X0 )
           => ( esti @ ( suc @ X1 ) @ X0 ) )
       => ! [X2: nat] : ( esti @ X2 @ X0 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ! [X1: set] :
      ( ( esti @ n_1 @ X1 )
     => ( ! [X2: nat] :
            ( ( esti @ X2 @ X1 )
           => ( esti @ ( suc @ X2 ) @ X1 ) )
       => ! [X2: nat] : ( esti @ X2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM637^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.14  % 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
% 0.15/0.38  % Computer : n010.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Mon May 20 07:00:08 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a TH0_THM_EQU_NAR problem
% 0.15/0.39  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
% 0.15/0.40  % (1302)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.40  % (1303)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 (3000ds/4Mi)
% 0.15/0.40  % (1304)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 (3000ds/27Mi)
% 0.15/0.40  % (1305)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.40  % (1306)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 (3000ds/2Mi)
% 0.15/0.40  % (1307)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 (3000ds/275Mi)
% 0.15/0.40  % (1308)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.40  % (1309)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.40  % (1305)Instruction limit reached!
% 0.15/0.40  % (1305)------------------------------
% 0.15/0.40  % (1305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (1305)Termination reason: Unknown
% 0.15/0.40  % (1305)Termination phase: Saturation
% 0.15/0.40  % (1306)Instruction limit reached!
% 0.15/0.40  % (1306)------------------------------
% 0.15/0.40  % (1306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (1306)Termination reason: Unknown
% 0.15/0.40  % (1306)Termination phase: Property scanning
% 0.15/0.40  
% 0.15/0.40  % (1306)Memory used [KB]: 895
% 0.15/0.40  % (1306)Time elapsed: 0.003 s
% 0.15/0.40  % (1306)Instructions burned: 2 (million)
% 0.15/0.40  % (1306)------------------------------
% 0.15/0.40  % (1306)------------------------------
% 0.15/0.40  
% 0.15/0.40  % (1305)Memory used [KB]: 5373
% 0.15/0.40  % (1305)Time elapsed: 0.003 s
% 0.15/0.40  % (1305)Instructions burned: 2 (million)
% 0.15/0.40  % (1305)------------------------------
% 0.15/0.40  % (1305)------------------------------
% 0.15/0.40  % (1307)Refutation not found, incomplete strategy
% 0.15/0.40  % (1307)------------------------------
% 0.15/0.40  % (1307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (1307)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (1307)Memory used [KB]: 5500
% 0.15/0.40  % (1307)Time elapsed: 0.003 s
% 0.15/0.40  % (1307)Instructions burned: 2 (million)
% 0.15/0.40  % (1307)------------------------------
% 0.15/0.40  % (1307)------------------------------
% 0.15/0.40  % (1303)Instruction limit reached!
% 0.15/0.40  % (1303)------------------------------
% 0.15/0.40  % (1303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (1303)Termination reason: Unknown
% 0.15/0.41  % (1304)Refutation not found, incomplete strategy
% 0.15/0.41  % (1304)------------------------------
% 0.15/0.41  % (1304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (1303)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (1303)Memory used [KB]: 5500
% 0.15/0.41  % (1303)Time elapsed: 0.004 s
% 0.15/0.41  % (1303)Instructions burned: 4 (million)
% 0.15/0.41  % (1303)------------------------------
% 0.15/0.41  % (1303)------------------------------
% 0.15/0.41  % (1304)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  % (1304)Memory used [KB]: 5500
% 0.15/0.41  % (1304)Time elapsed: 0.004 s
% 0.15/0.41  % (1304)Instructions burned: 2 (million)
% 0.15/0.41  % (1304)------------------------------
% 0.15/0.41  % (1304)------------------------------
% 0.15/0.41  % (1309)Instruction limit reached!
% 0.15/0.41  % (1309)------------------------------
% 0.15/0.41  % (1309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (1309)Termination reason: Unknown
% 0.15/0.41  % (1309)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (1309)Memory used [KB]: 5500
% 0.15/0.41  % (1309)Time elapsed: 0.004 s
% 0.15/0.41  % (1309)Instructions burned: 3 (million)
% 0.15/0.41  % (1309)------------------------------
% 0.15/0.41  % (1309)------------------------------
% 0.15/0.41  % (1308)Instruction limit reached!
% 0.15/0.41  % (1308)------------------------------
% 0.15/0.41  % (1308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (1308)Termination reason: Unknown
% 0.15/0.41  % (1308)Termination phase: Saturation
% 0.15/0.41  
% 0.15/0.41  % (1308)Memory used [KB]: 5628
% 0.15/0.41  % (1308)Time elapsed: 0.013 s
% 0.15/0.41  % (1308)Instructions burned: 18 (million)
% 0.15/0.41  % (1308)------------------------------
% 0.15/0.41  % (1308)------------------------------
% 0.15/0.42  % (1310)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)
% 0.15/0.42  % (1311)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)
% 0.15/0.42  % (1312)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)
% 0.15/0.42  % (1313)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)
% 0.15/0.42  % (1314)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.42  % (1315)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.42  % (1311)Refutation not found, incomplete strategy
% 0.15/0.42  % (1311)------------------------------
% 0.15/0.42  % (1311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42  % (1311)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.42  
% 0.15/0.42  
% 0.15/0.42  % (1311)Memory used [KB]: 5500
% 0.15/0.42  % (1311)Time elapsed: 0.003 s
% 0.15/0.42  % (1311)Instructions burned: 2 (million)
% 0.15/0.42  % (1311)------------------------------
% 0.15/0.42  % (1311)------------------------------
% 0.25/0.42  % (1312)Instruction limit reached!
% 0.25/0.42  % (1312)------------------------------
% 0.25/0.42  % (1312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (1312)Termination reason: Unknown
% 0.25/0.42  % (1312)Termination phase: Saturation
% 0.25/0.42  
% 0.25/0.42  % (1312)Memory used [KB]: 5500
% 0.25/0.42  % (1312)Time elapsed: 0.004 s
% 0.25/0.42  % (1312)Instructions burned: 3 (million)
% 0.25/0.42  % (1312)------------------------------
% 0.25/0.42  % (1312)------------------------------
% 0.25/0.42  % (1314)Instruction limit reached!
% 0.25/0.42  % (1314)------------------------------
% 0.25/0.42  % (1314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (1314)Termination reason: Unknown
% 0.25/0.42  % (1314)Termination phase: Saturation
% 0.25/0.42  
% 0.25/0.42  % (1314)Memory used [KB]: 1023
% 0.25/0.42  % (1314)Time elapsed: 0.006 s
% 0.25/0.42  % (1314)Instructions burned: 7 (million)
% 0.25/0.42  % (1314)------------------------------
% 0.25/0.42  % (1314)------------------------------
% 0.25/0.43  % (1316)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)
% 0.25/0.43  % (1315)Instruction limit reached!
% 0.25/0.43  % (1315)------------------------------
% 0.25/0.43  % (1315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43  % (1315)Termination reason: Unknown
% 0.25/0.43  % (1315)Termination phase: Saturation
% 0.25/0.43  
% 0.25/0.43  % (1315)Memory used [KB]: 5628
% 0.25/0.43  % (1315)Time elapsed: 0.012 s
% 0.25/0.43  % (1315)Instructions burned: 17 (million)
% 0.25/0.43  % (1315)------------------------------
% 0.25/0.43  % (1315)------------------------------
% 0.25/0.43  % (1316)Instruction limit reached!
% 0.25/0.43  % (1316)------------------------------
% 0.25/0.43  % (1316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43  % (1316)Termination reason: Unknown
% 0.25/0.43  % (1316)Termination phase: Saturation
% 0.25/0.43  
% 0.25/0.43  % (1316)Memory used [KB]: 5500
% 0.25/0.43  % (1316)Time elapsed: 0.004 s
% 0.25/0.43  % (1316)Instructions burned: 3 (million)
% 0.25/0.43  % (1316)------------------------------
% 0.25/0.43  % (1316)------------------------------
% 0.25/0.44  % (1317)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)
% 0.25/0.44  % (1318)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)
% 0.25/0.44  % (1317)Instruction limit reached!
% 0.25/0.44  % (1317)------------------------------
% 0.25/0.44  % (1317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (1317)Termination reason: Unknown
% 0.25/0.44  % (1317)Termination phase: Saturation
% 0.25/0.44  
% 0.25/0.44  % (1317)Memory used [KB]: 1023
% 0.25/0.44  % (1317)Time elapsed: 0.004 s
% 0.25/0.44  % (1317)Instructions burned: 4 (million)
% 0.25/0.44  % (1317)------------------------------
% 0.25/0.44  % (1317)------------------------------
% 0.25/0.44  % (1318)Refutation not found, incomplete strategy
% 0.25/0.44  % (1318)------------------------------
% 0.25/0.44  % (1318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (1318)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.44  
% 0.25/0.44  
% 0.25/0.44  % (1319)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)
% 0.25/0.44  % (1318)Memory used [KB]: 5500
% 0.25/0.44  % (1318)Time elapsed: 0.004 s
% 0.25/0.44  % (1318)Instructions burned: 3 (million)
% 0.25/0.44  % (1318)------------------------------
% 0.25/0.44  % (1318)------------------------------
% 0.25/0.44  % (1310)Instruction limit reached!
% 0.25/0.44  % (1310)------------------------------
% 0.25/0.44  % (1310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (1310)Termination reason: Unknown
% 0.25/0.44  % (1310)Termination phase: Saturation
% 0.25/0.44  
% 0.25/0.44  % (1310)Memory used [KB]: 5884
% 0.25/0.44  % (1310)Time elapsed: 0.022 s
% 0.25/0.44  % (1310)Instructions burned: 37 (million)
% 0.25/0.44  % (1310)------------------------------
% 0.25/0.44  % (1310)------------------------------
% 0.25/0.44  % (1319)Instruction limit reached!
% 0.25/0.44  % (1319)------------------------------
% 0.25/0.44  % (1319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (1319)Termination reason: Unknown
% 0.25/0.44  % (1319)Termination phase: Saturation
% 0.25/0.44  
% 0.25/0.44  % (1319)Memory used [KB]: 5500
% 0.25/0.44  % (1319)Time elapsed: 0.004 s
% 0.25/0.44  % (1319)Instructions burned: 3 (million)
% 0.25/0.44  % (1319)------------------------------
% 0.25/0.44  % (1319)------------------------------
% 0.25/0.44  % (1320)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.45  % (1321)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)
% 0.25/0.45  % (1320)Instruction limit reached!
% 0.25/0.45  % (1320)------------------------------
% 0.25/0.45  % (1320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45  % (1320)Termination reason: Unknown
% 0.25/0.45  % (1320)Termination phase: Saturation
% 0.25/0.45  
% 0.25/0.45  % (1320)Memory used [KB]: 5500
% 0.25/0.45  % (1320)Time elapsed: 0.005 s
% 0.25/0.45  % (1320)Instructions burned: 5 (million)
% 0.25/0.45  % (1320)------------------------------
% 0.25/0.45  % (1320)------------------------------
% 0.25/0.45  % (1321)Refutation not found, incomplete strategy
% 0.25/0.45  % (1321)------------------------------
% 0.25/0.45  % (1321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45  % (1321)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.45  
% 0.25/0.45  
% 0.25/0.45  % (1321)Memory used [KB]: 5500
% 0.25/0.45  % (1321)Time elapsed: 0.006 s
% 0.25/0.45  % (1321)Instructions burned: 6 (million)
% 0.25/0.45  % (1321)------------------------------
% 0.25/0.45  % (1321)------------------------------
% 0.25/0.45  % (1322)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.25/0.45  % (1323)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.25/0.45  % (1324)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)
% 0.25/0.45  % (1324)Refutation not found, incomplete strategy
% 0.25/0.45  % (1324)------------------------------
% 0.25/0.45  % (1324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45  % (1324)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.45  
% 0.25/0.46  
% 0.25/0.46  % (1324)Memory used [KB]: 5500
% 0.25/0.46  % (1324)Time elapsed: 0.003 s
% 0.25/0.46  % (1324)Instructions burned: 2 (million)
% 0.25/0.46  % (1324)------------------------------
% 0.25/0.46  % (1324)------------------------------
% 0.25/0.46  % (1325)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)
% 0.25/0.46  % (1323)Instruction limit reached!
% 0.25/0.46  % (1323)------------------------------
% 0.25/0.46  % (1323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46  % (1323)Termination reason: Unknown
% 0.25/0.46  % (1323)Termination phase: Saturation
% 0.25/0.46  
% 0.25/0.46  % (1323)Memory used [KB]: 5500
% 0.25/0.46  % (1323)Time elapsed: 0.006 s
% 0.25/0.46  % (1323)Instructions burned: 7 (million)
% 0.25/0.46  % (1323)------------------------------
% 0.25/0.46  % (1323)------------------------------
% 0.25/0.46  % (1326)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.25/0.46  % (1327)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)
% 0.25/0.47  % (1326)Instruction limit reached!
% 0.25/0.47  % (1326)------------------------------
% 0.25/0.47  % (1326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47  % (1326)Termination reason: Unknown
% 0.25/0.47  % (1326)Termination phase: Saturation
% 0.25/0.47  
% 0.25/0.47  % (1326)Memory used [KB]: 5500
% 0.25/0.47  % (1326)Time elapsed: 0.005 s
% 0.25/0.47  % (1326)Instructions burned: 5 (million)
% 0.25/0.47  % (1326)------------------------------
% 0.25/0.47  % (1326)------------------------------
% 0.25/0.47  % (1325)Instruction limit reached!
% 0.25/0.47  % (1325)------------------------------
% 0.25/0.47  % (1325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47  % (1325)Termination reason: Unknown
% 0.25/0.47  % (1325)Termination phase: Saturation
% 0.25/0.47  
% 0.25/0.47  % (1325)Memory used [KB]: 5628
% 0.25/0.47  % (1325)Time elapsed: 0.015 s
% 0.25/0.47  % (1325)Instructions burned: 21 (million)
% 0.25/0.47  % (1325)------------------------------
% 0.25/0.47  % (1325)------------------------------
% 0.25/0.47  % (1327)Instruction limit reached!
% 0.25/0.47  % (1327)------------------------------
% 0.25/0.47  % (1327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47  % (1327)Termination reason: Unknown
% 0.25/0.47  % (1327)Termination phase: Saturation
% 0.25/0.47  
% 0.25/0.47  % (1327)Memory used [KB]: 5500
% 0.25/0.47  % (1327)Time elapsed: 0.006 s
% 0.25/0.47  % (1327)Instructions burned: 7 (million)
% 0.25/0.47  % (1327)------------------------------
% 0.25/0.47  % (1327)------------------------------
% 0.25/0.47  % (1328)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.25/0.47  % (1329)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.25/0.48  % (1330)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.25/0.48  % (1330)Refutation not found, incomplete strategy
% 0.25/0.48  % (1330)------------------------------
% 0.25/0.48  % (1330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48  % (1330)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.48  
% 0.25/0.48  
% 0.25/0.48  % (1330)Memory used [KB]: 5500
% 0.25/0.48  % (1330)Time elapsed: 0.004 s
% 0.25/0.48  % (1330)Instructions burned: 4 (million)
% 0.25/0.48  % (1330)------------------------------
% 0.25/0.48  % (1330)------------------------------
% 0.25/0.48  % (1331)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.25/0.48  % (1332)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.25/0.49  % (1332)Instruction limit reached!
% 0.25/0.49  % (1332)------------------------------
% 0.25/0.49  % (1332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.49  % (1332)Termination reason: Unknown
% 0.25/0.49  % (1332)Termination phase: Saturation
% 0.25/0.49  
% 0.25/0.49  % (1332)Memory used [KB]: 5628
% 0.25/0.49  % (1332)Time elapsed: 0.012 s
% 0.25/0.49  % (1332)Instructions burned: 17 (million)
% 0.25/0.49  % (1332)------------------------------
% 0.25/0.49  % (1332)------------------------------
% 0.25/0.49  % (1302)Instruction limit reached!
% 0.25/0.49  % (1302)------------------------------
% 0.25/0.49  % (1302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.49  % (1302)Termination reason: Unknown
% 0.25/0.49  % (1302)Termination phase: Saturation
% 0.25/0.49  
% 0.25/0.49  % (1302)Memory used [KB]: 6524
% 0.25/0.49  % (1302)Time elapsed: 0.093 s
% 0.25/0.49  % (1302)Instructions burned: 183 (million)
% 0.25/0.49  % (1302)------------------------------
% 0.25/0.49  % (1302)------------------------------
% 0.25/0.50  % (1334)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.50  % (1334)Instruction limit reached!
% 0.25/0.50  % (1334)------------------------------
% 0.25/0.50  % (1334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.50  % (1334)Termination reason: Unknown
% 0.25/0.50  % (1334)Termination phase: Saturation
% 0.25/0.50  
% 0.25/0.50  % (1334)Memory used [KB]: 1023
% 0.25/0.50  % (1334)Time elapsed: 0.004 s
% 0.25/0.50  % (1334)Instructions burned: 4 (million)
% 0.25/0.50  % (1334)------------------------------
% 0.25/0.50  % (1334)------------------------------
% 0.25/0.50  % (1331)Refutation not found, incomplete strategy
% 0.25/0.50  % (1331)------------------------------
% 0.25/0.50  % (1331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.50  % (1331)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.50  
% 0.25/0.50  
% 0.25/0.50  % (1331)Memory used [KB]: 5628
% 0.25/0.50  % (1331)Time elapsed: 0.021 s
% 0.25/0.50  % (1331)Instructions burned: 31 (million)
% 0.25/0.50  % (1331)------------------------------
% 0.25/0.50  % (1331)------------------------------
% 0.25/0.51  % (1335)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.25/0.51  % (1336)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.25/0.51  % (1337)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.25/0.52  % (1338)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.25/0.52  % (1338)Instruction limit reached!
% 0.25/0.52  % (1338)------------------------------
% 0.25/0.52  % (1338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.52  % (1338)Termination reason: Unknown
% 0.25/0.52  % (1338)Termination phase: Saturation
% 0.25/0.52  
% 0.25/0.52  % (1338)Memory used [KB]: 5500
% 0.25/0.52  % (1338)Time elapsed: 0.004 s
% 0.25/0.52  % (1338)Instructions burned: 3 (million)
% 0.25/0.52  % (1338)------------------------------
% 0.25/0.52  % (1338)------------------------------
% 0.25/0.52  % (1337)Refutation not found, incomplete strategy
% 0.25/0.52  % (1337)------------------------------
% 0.25/0.52  % (1337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.52  % (1337)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.52  
% 0.25/0.52  
% 0.25/0.52  % (1337)Memory used [KB]: 5500
% 0.25/0.52  % (1337)Time elapsed: 0.007 s
% 0.25/0.52  % (1337)Instructions burned: 7 (million)
% 0.25/0.52  % (1337)------------------------------
% 0.25/0.52  % (1337)------------------------------
% 0.25/0.53  % (1335)Instruction limit reached!
% 0.25/0.53  % (1335)------------------------------
% 0.25/0.53  % (1335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.53  % (1335)Termination reason: Unknown
% 0.25/0.53  % (1335)Termination phase: Saturation
% 0.25/0.53  
% 0.25/0.53  % (1335)Memory used [KB]: 5628
% 0.25/0.53  % (1335)Time elapsed: 0.019 s
% 0.25/0.53  % (1335)Instructions burned: 30 (million)
% 0.25/0.53  % (1335)------------------------------
% 0.25/0.53  % (1335)------------------------------
% 0.25/0.53  % (1339)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.25/0.53  % (1340)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.25/0.54  % (1339)Refutation not found, incomplete strategy
% 0.25/0.54  % (1339)------------------------------
% 0.25/0.54  % (1339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.54  % (1339)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.54  
% 0.25/0.54  
% 0.25/0.54  % (1339)Memory used [KB]: 5500
% 0.25/0.54  % (1339)Time elapsed: 0.003 s
% 0.25/0.54  % (1339)Instructions burned: 2 (million)
% 0.25/0.54  % (1339)------------------------------
% 0.25/0.54  % (1339)------------------------------
% 0.25/0.54  % (1313)First to succeed.
% 0.25/0.54  % (1341)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.25/0.54  % (1313)Refutation found. Thanks to Tanya!
% 0.25/0.54  % SZS status Theorem for theBenchmark
% 0.25/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.54  % (1313)------------------------------
% 0.25/0.54  % (1313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.54  % (1313)Termination reason: Refutation
% 0.25/0.54  
% 0.25/0.54  % (1313)Memory used [KB]: 6012
% 0.25/0.54  % (1313)Time elapsed: 0.122 s
% 0.25/0.54  % (1313)Instructions burned: 206 (million)
% 0.25/0.54  % (1313)------------------------------
% 0.25/0.54  % (1313)------------------------------
% 0.25/0.54  % (1301)Success in time 0.137 s
% 0.25/0.54  % Vampire---4.8 exiting
%------------------------------------------------------------------------------