TSTP Solution File: ITP004^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP004^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : n028.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 22:29:55 EDT 2024

% Result   : Theorem 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  113 (  42 unt;  55 typ;   0 def)
%            Number of atoms       :  318 ( 102 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives : 1890 (  18   ~;  14   |;  14   &;1770   @)
%                                         (   4 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   59 (  59   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   53 (  49 usr;  23 con; 0-4 aty)
%                                         (  56  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  179 (  68   ^ 111   !;   0   ?; 179   :)

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

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

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

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

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

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

thf(func_def_3,type,
    tyop_2Emin_2Ebool: d ).

thf(func_def_4,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(func_def_5,type,
    s: d > u > du ).

thf(func_def_6,type,
    app_2E2: du > du > u ).

thf(func_def_7,type,
    combin_i_2E0: u ).

thf(func_def_8,type,
    combin_k_2E0: u ).

thf(func_def_9,type,
    combin_s_2E0: u ).

thf(func_def_10,type,
    c_2Ebool_2E_21_2E0: u ).

thf(func_def_11,type,
    c_2Ebool_2E_21_2E1: du > u ).

thf(func_def_12,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

thf(func_def_13,type,
    c_2Ebool_2E_2F_5C_2E2: du > du > u ).

thf(func_def_14,type,
    c_2Emin_2E_3D_2E0: u ).

thf(func_def_15,type,
    c_2Emin_2E_3D_2E2: du > du > u ).

thf(func_def_16,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

thf(func_def_17,type,
    c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).

thf(func_def_18,type,
    c_2Ebool_2E_3F_2E0: u ).

thf(func_def_19,type,
    c_2Ebool_2E_3F_2E1: du > u ).

thf(func_def_20,type,
    c_2Epred__set_2ECHOICE_2E0: u ).

thf(func_def_21,type,
    c_2Epred__set_2ECHOICE_2E1: du > u ).

thf(func_def_22,type,
    c_2Epred__set_2EDELETE_2E0: u ).

thf(func_def_23,type,
    c_2Epred__set_2EDELETE_2E2: du > du > u ).

thf(func_def_24,type,
    c_2Ebool_2EF_2E0: u ).

thf(func_def_25,type,
    c_2Ebool_2EIN_2E0: u ).

thf(func_def_26,type,
    c_2Ebool_2EIN_2E2: du > du > u ).

thf(func_def_27,type,
    c_2Epred__set_2EREST_2E0: u ).

thf(func_def_28,type,
    c_2Epred__set_2EREST_2E1: du > u ).

thf(func_def_29,type,
    c_2Epred__set_2ESUBSET_2E0: u ).

thf(func_def_30,type,
    c_2Epred__set_2ESUBSET_2E2: du > du > u ).

thf(func_def_31,type,
    c_2Ebool_2ET_2E0: u ).

thf(func_def_32,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

thf(func_def_33,type,
    c_2Ebool_2E_5C_2F_2E2: du > du > u ).

thf(func_def_34,type,
    c_2Ebool_2E_7E_2E0: u ).

thf(func_def_35,type,
    c_2Ebool_2E_7E_2E1: du > u ).

thf(func_def_36,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).

thf(func_def_37,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).

thf(func_def_38,type,
    mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).

thf(func_def_39,type,
    mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).

thf(func_def_42,type,
    mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).

thf(func_def_43,type,
    mono_2Ec_2Ebool_2E_7E: $o > $o ).

thf(func_def_44,type,
    i_mono_2Etyop_2Emin_2Ebool: $o > u ).

thf(func_def_45,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).

thf(func_def_46,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).

thf(func_def_47,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(func_def_48,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).

thf(func_def_49,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).

thf(func_def_69,type,
    sK1: d ).

thf(func_def_70,type,
    sK2: u ).

thf(func_def_71,type,
    sK3: d > u > d > u > u ).

thf(func_def_72,type,
    sK4: u > d > u > u ).

thf(f505,plain,
    $false,
    inference(trivial_inequality_removal,[],[f503]) ).

thf(f503,plain,
    $true = $false,
    inference(superposition,[],[f157,f475]) ).

thf(f475,plain,
    ! [X0: d,X1: u] :
      ( $true
      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f474]) ).

thf(f474,plain,
    ! [X0: d,X1: u] :
      ( ( $true = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
    inference(duplicate_literal_removal,[],[f472]) ).

thf(f472,plain,
    ! [X0: d,X1: u] :
      ( ( $true = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
    inference(superposition,[],[f251,f441]) ).

thf(f441,plain,
    ! [X2: u,X0: d,X1: u] :
      ( ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ ( sK4 @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) @ X0 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f439]) ).

thf(f439,plain,
    ! [X2: u,X0: d,X1: u] :
      ( ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ ( sK4 @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) @ X0 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) )
      | ( $true = $false ) ),
    inference(superposition,[],[f252,f415]) ).

thf(f415,plain,
    ! [X2: u,X0: d,X1: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) )
        = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
    inference(superposition,[],[f133,f219]) ).

thf(f219,plain,
    ! [X2: u,X1: d] :
      ( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ),
    inference(equality_proxy_clausification,[],[f218]) ).

thf(f218,plain,
    ! [X2: u,X1: d] :
      ( $true
      = ( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) )
        = ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f217]) ).

thf(f217,plain,
    ! [X2: u,X1: d] :
      ( $true
      = ( ^ [Y0: u] :
            ( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) )
            = ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) ) ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f216]) ).

thf(f216,plain,
    ! [X1: d] :
      ( $true
      = ( !! @ u
        @ ^ [Y0: u] :
            ( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) )
            = ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f215]) ).

thf(f215,plain,
    ! [X1: d] :
      ( $true
      = ( ^ [Y0: d] :
            ( !! @ u
            @ ^ [Y1: u] :
                ( ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) )
                = ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) @ ( s @ Y0 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f108]) ).

thf(f108,plain,
    ( ( !! @ d
      @ ^ [Y0: d] :
          ( !! @ u
          @ ^ [Y1: u] :
              ( ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) )
              = ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) @ ( s @ Y0 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f73]) ).

thf(f73,plain,
    ( ( !! @ d
      @ ^ [Y0: d] :
          ( !! @ u
          @ ^ [Y1: u] :
              ( ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) )
              = ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) @ ( s @ Y0 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f72]) ).

thf(f72,plain,
    ! [X0: u,X1: d] :
      ( ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X1 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
    inference(rectify,[],[f32]) ).

thf(f32,axiom,
    ! [X15: u,X0: d] :
      ( ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X0 @ ( c_2Epred__set_2ECHOICE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF) ).

thf(f133,plain,
    ! [X2: u,X3: d,X1: u,X4: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) @ ( s @ X3 @ X1 ) ) ) ) ) )
        = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f130]) ).

thf(f130,plain,
    ! [X2: u,X3: d,X1: u,X4: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) @ ( s @ X3 @ X1 ) ) ) ) ) )
        = $false )
      | ( $true
        = ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
          & ( ( s @ X3 @ X1 )
           != ( s @ X3 @ X2 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f129]) ).

thf(f129,plain,
    ! [X2: u,X3: d,X1: u,X4: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
        & ( ( s @ X3 @ X1 )
         != ( s @ X3 @ X2 ) ) )
      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) @ ( s @ X3 @ X1 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f128]) ).

thf(f128,plain,
    ! [X2: u,X3: d,X1: u,X4: u] :
      ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
          & ( ( s @ X3 @ X1 )
           != ( s @ X3 @ X2 ) ) )
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X4 ) @ ( s @ X3 @ X1 ) ) ) ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f127]) ).

thf(f127,plain,
    ! [X2: u,X3: d,X1: u,X4: u] :
      ( $true
      = ( ^ [Y0: u] :
            ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
              & ( ( s @ X3 @ X1 )
               != ( s @ X3 @ X2 ) ) )
            = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ X3 @ X1 ) ) ) ) ) ) )
        @ X4 ) ),
    inference(pi_clausification,[],[f126]) ).

thf(f126,plain,
    ! [X2: u,X3: d,X1: u] :
      ( ( !! @ u
        @ ^ [Y0: u] :
            ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
              & ( ( s @ X3 @ X1 )
               != ( s @ X3 @ X2 ) ) )
            = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X3 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ X3 @ X1 ) ) ) ) ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f125]) ).

thf(f125,plain,
    ! [X2: u,X3: d,X1: u] :
      ( $true
      = ( ^ [Y0: d] :
            ( !! @ u
            @ ^ [Y1: u] :
                ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) )
                  & ( ( s @ Y0 @ X1 )
                   != ( s @ Y0 @ X2 ) ) )
                = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) @ ( s @ Y0 @ X1 ) ) ) ) ) ) ) )
        @ X3 ) ),
    inference(pi_clausification,[],[f124]) ).

thf(f124,plain,
    ! [X2: u,X1: u] :
      ( $true
      = ( !! @ d
        @ ^ [Y0: d] :
            ( !! @ u
            @ ^ [Y1: u] :
                ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) )
                  & ( ( s @ Y0 @ X1 )
                   != ( s @ Y0 @ X2 ) ) )
                = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) @ ( s @ Y0 @ X1 ) ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f123]) ).

thf(f123,plain,
    ! [X2: u,X1: u] :
      ( $true
      = ( ^ [Y0: u] :
            ( !! @ d
            @ ^ [Y1: d] :
                ( !! @ u
                @ ^ [Y2: u] :
                    ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) )
                      & ( ( s @ Y1 @ X1 )
                       != ( s @ Y1 @ Y0 ) ) )
                    = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) @ ( s @ Y1 @ X1 ) ) ) ) ) ) ) ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f122]) ).

thf(f122,plain,
    ! [X1: u] :
      ( $true
      = ( !! @ u
        @ ^ [Y0: u] :
            ( !! @ d
            @ ^ [Y1: d] :
                ( !! @ u
                @ ^ [Y2: u] :
                    ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) )
                      & ( ( s @ Y1 @ X1 )
                       != ( s @ Y1 @ Y0 ) ) )
                    = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) @ ( s @ Y1 @ X1 ) ) ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f121]) ).

thf(f121,plain,
    ! [X1: u] :
      ( $true
      = ( ^ [Y0: u] :
            ( !! @ u
            @ ^ [Y1: u] :
                ( !! @ d
                @ ^ [Y2: d] :
                    ( !! @ u
                    @ ^ [Y3: u] :
                        ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ Y3 ) ) ) )
                          & ( ( s @ Y2 @ Y0 )
                           != ( s @ Y2 @ Y1 ) ) )
                        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ Y3 ) @ ( s @ Y2 @ Y0 ) ) ) ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f115]) ).

thf(f115,plain,
    ( $true
    = ( !! @ u
      @ ^ [Y0: u] :
          ( !! @ u
          @ ^ [Y1: u] :
              ( !! @ d
              @ ^ [Y2: d] :
                  ( !! @ u
                  @ ^ [Y3: u] :
                      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ Y3 ) ) ) )
                        & ( ( s @ Y2 @ Y0 )
                         != ( s @ Y2 @ Y1 ) ) )
                      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ Y3 ) @ ( s @ Y2 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f53]) ).

thf(f53,plain,
    ( $true
    = ( !! @ u
      @ ^ [Y0: u] :
          ( !! @ u
          @ ^ [Y1: u] :
              ( !! @ d
              @ ^ [Y2: d] :
                  ( !! @ u
                  @ ^ [Y3: u] :
                      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ Y3 ) ) ) )
                        & ( ( s @ Y2 @ Y0 )
                         != ( s @ Y2 @ Y1 ) ) )
                      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y2 @ tyop_2Emin_2Ebool ) @ Y3 ) @ ( s @ Y2 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f52]) ).

thf(f52,plain,
    ! [X0: u,X1: d,X2: u,X3: u] :
      ( ( ( ( s @ X1 @ X3 )
         != ( s @ X1 @ X2 ) )
        & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
    <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X1 @ X3 ) ) ) ) ) ) ),
    inference(rectify,[],[f31]) ).

thf(f31,axiom,
    ! [X15: u,X0: d,X12: u,X17: u] :
      ( ( ( ( s @ X0 @ X12 )
         != ( s @ X0 @ X17 ) )
        & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X12 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) ) )
    <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X12 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EDELETE_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X0 @ X17 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE) ).

thf(f252,plain,
    ! [X2: d,X3: u,X1: u] :
      ( ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ ( sK4 @ X1 @ X2 @ X3 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f250]) ).

thf(f250,plain,
    ! [X2: d,X3: u,X1: u] :
      ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ ( sK4 @ X1 @ X2 @ X3 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ ( sK4 @ X1 @ X2 @ X3 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
        = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f249]) ).

thf(f249,plain,
    ! [X2: d,X3: u,X1: u] :
      ( ( ( ^ [Y0: u] :
              ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
             => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
          @ ( sK4 @ X1 @ X2 @ X3 ) )
        = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(sigma_clausification,[],[f247]) ).

thf(f247,plain,
    ! [X2: d,X3: u,X1: u] :
      ( ( ( !! @ u
          @ ^ [Y0: u] :
              ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
             => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) )
        = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f246]) ).

thf(f246,plain,
    ! [X2: d,X3: u,X1: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      = ( !! @ u
        @ ^ [Y0: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
           => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f245]) ).

thf(f245,plain,
    ! [X2: d,X3: u,X1: u] :
      ( $true
      = ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
        = ( !! @ u
          @ ^ [Y0: u] :
              ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
             => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f244]) ).

thf(f244,plain,
    ! [X2: d,X3: u,X1: u] :
      ( $true
      = ( ^ [Y0: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
            = ( !! @ u
              @ ^ [Y1: u] :
                  ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
                 => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) ) ) ) )
        @ X3 ) ),
    inference(pi_clausification,[],[f243]) ).

thf(f243,plain,
    ! [X2: d,X1: u] :
      ( $true
      = ( !! @ u
        @ ^ [Y0: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
            = ( !! @ u
              @ ^ [Y1: u] :
                  ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
                 => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ Y1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f242]) ).

thf(f242,plain,
    ! [X2: d,X1: u] :
      ( $true
      = ( ^ [Y0: d] :
            ( !! @ u
            @ ^ [Y1: u] :
                ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) )
                = ( !! @ u
                  @ ^ [Y2: u] :
                      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ Y2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
                     => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ Y2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f241]) ).

thf(f241,plain,
    ! [X1: u] :
      ( $true
      = ( !! @ d
        @ ^ [Y0: d] :
            ( !! @ u
            @ ^ [Y1: u] :
                ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) )
                = ( !! @ u
                  @ ^ [Y2: u] :
                      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ Y2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
                     => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y0 @ Y2 ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f240]) ).

thf(f240,plain,
    ! [X1: u] :
      ( $true
      = ( ^ [Y0: u] :
            ( !! @ d
            @ ^ [Y1: d] :
                ( !! @ u
                @ ^ [Y2: u] :
                    ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) )
                    = ( !! @ u
                      @ ^ [Y3: u] :
                          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y3 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
                         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y3 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f112]) ).

thf(f112,plain,
    ( $true
    = ( !! @ u
      @ ^ [Y0: u] :
          ( !! @ d
          @ ^ [Y1: d] :
              ( !! @ u
              @ ^ [Y2: u] :
                  ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) )
                  = ( !! @ u
                    @ ^ [Y3: u] :
                        ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y3 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
                       => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y3 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f89]) ).

thf(f89,plain,
    ( $true
    = ( !! @ u
      @ ^ [Y0: u] :
          ( !! @ d
          @ ^ [Y1: d] :
              ( !! @ u
              @ ^ [Y2: u] :
                  ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y0 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) )
                  = ( !! @ u
                    @ ^ [Y3: u] :
                        ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y3 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
                       => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ Y1 @ Y3 ) @ ( s @ ( tyop_2Emin_2Efun @ Y1 @ tyop_2Emin_2Ebool ) @ Y2 ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f88]) ).

thf(f88,plain,
    ! [X0: u,X1: d,X2: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
    <=> ! [X3: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X1 @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
    inference(rectify,[],[f30]) ).

thf(f30,axiom,
    ! [X16: u,X0: d,X15: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X16 ) ) ) )
    <=> ! [X4: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X0 @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X16 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2ESUBSET__DEF) ).

thf(f251,plain,
    ! [X2: d,X3: u,X1: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ X2 @ ( sK4 @ X1 @ X2 @ X3 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
        = $false )
      | ( $true
        = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f250]) ).

thf(f157,plain,
    ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ sK2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ sK2 ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f156]) ).

thf(f156,plain,
    ( ( ^ [Y0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) )
      @ sK2 )
    = $false ),
    inference(sigma_clausification,[],[f155]) ).

thf(f155,plain,
    ( ( !! @ u
      @ ^ [Y0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK1 @ tyop_2Emin_2Ebool ) @ Y0 ) ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f154]) ).

thf(f154,plain,
    ( $false
    = ( ^ [Y0: d] :
          ( !! @ u
          @ ^ [Y1: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f153]) ).

thf(f153,plain,
    ( ( !! @ d
      @ ^ [Y0: d] :
          ( !! @ u
          @ ^ [Y1: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[],[f102]) ).

thf(f102,plain,
    ( $true
    = ( ~ ( !! @ d
          @ ^ [Y0: d] :
              ( !! @ u
              @ ^ [Y1: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f41]) ).

thf(f41,plain,
    ( $true
    = ( ~ ( !! @ d
          @ ^ [Y0: d] :
              ( !! @ u
              @ ^ [Y1: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ Y0 @ tyop_2Emin_2Ebool ) @ Y1 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f40]) ).

thf(f40,plain,
    ~ ! [X0: u,X1: d] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ),
    inference(rectify,[],[f34]) ).

thf(f34,negated_conjecture,
    ~ ! [X15: u,X0: d] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) ),
    inference(negated_conjecture,[],[f33]) ).

thf(f33,conjecture,
    ! [X15: u,X0: d] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2ESUBSET_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EREST_2E1 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP004^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 17:14:37 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  % (27770)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)
% 0.14/0.39  % (27771)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (27769)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)
% 0.14/0.39  % (27772)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)
% 0.14/0.39  % (27768)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39  % (27775)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)
% 0.14/0.39  % (27771)Instruction limit reached!
% 0.14/0.39  % (27771)------------------------------
% 0.14/0.39  % (27771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (27771)Termination reason: Unknown
% 0.14/0.39  % (27771)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (27772)Instruction limit reached!
% 0.14/0.39  % (27772)------------------------------
% 0.14/0.39  % (27772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (27772)Termination reason: Unknown
% 0.14/0.39  % (27772)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (27772)Memory used [KB]: 1023
% 0.14/0.39  % (27772)Time elapsed: 0.003 s
% 0.14/0.39  % (27772)Instructions burned: 2 (million)
% 0.14/0.39  % (27772)------------------------------
% 0.14/0.39  % (27772)------------------------------
% 0.14/0.39  % (27771)Memory used [KB]: 1023
% 0.14/0.39  % (27771)Time elapsed: 0.003 s
% 0.14/0.39  % (27771)Instructions burned: 2 (million)
% 0.14/0.39  % (27771)------------------------------
% 0.14/0.39  % (27771)------------------------------
% 0.14/0.39  % (27775)Instruction limit reached!
% 0.14/0.39  % (27775)------------------------------
% 0.14/0.39  % (27775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (27775)Termination reason: Unknown
% 0.14/0.39  % (27775)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (27775)Memory used [KB]: 1023
% 0.14/0.39  % (27775)Time elapsed: 0.004 s
% 0.14/0.39  % (27775)Instructions burned: 3 (million)
% 0.14/0.39  % (27775)------------------------------
% 0.14/0.39  % (27775)------------------------------
% 0.14/0.39  % (27769)Instruction limit reached!
% 0.14/0.39  % (27769)------------------------------
% 0.14/0.39  % (27769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (27769)Termination reason: Unknown
% 0.14/0.39  % (27769)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (27769)Memory used [KB]: 1023
% 0.14/0.39  % (27769)Time elapsed: 0.005 s
% 0.14/0.39  % (27769)Instructions burned: 6 (million)
% 0.14/0.39  % (27769)------------------------------
% 0.14/0.39  % (27769)------------------------------
% 0.14/0.40  % (27773)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)
% 0.14/0.40  % (27774)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40  % (27776)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)
% 0.23/0.40  % (27773)Refutation not found, incomplete strategy
% 0.23/0.40  % (27773)------------------------------
% 0.23/0.40  % (27773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40  % (27773)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40  
% 0.23/0.40  
% 0.23/0.40  % (27773)Memory used [KB]: 5628
% 0.23/0.40  % (27773)Time elapsed: 0.007 s
% 0.23/0.40  % (27773)Instructions burned: 9 (million)
% 0.23/0.40  % (27773)------------------------------
% 0.23/0.40  % (27773)------------------------------
% 0.23/0.40  % (27777)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)
% 0.23/0.40  % (27770)Instruction limit reached!
% 0.23/0.40  % (27770)------------------------------
% 0.23/0.40  % (27770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40  % (27770)Termination reason: Unknown
% 0.23/0.40  % (27770)Termination phase: Saturation
% 0.23/0.40  
% 0.23/0.40  % (27770)Memory used [KB]: 5628
% 0.23/0.40  % (27770)Time elapsed: 0.018 s
% 0.23/0.40  % (27770)Instructions burned: 28 (million)
% 0.23/0.40  % (27770)------------------------------
% 0.23/0.40  % (27770)------------------------------
% 0.23/0.40  % (27778)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)
% 0.23/0.40  % (27779)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)
% 0.23/0.41  % (27778)Instruction limit reached!
% 0.23/0.41  % (27778)------------------------------
% 0.23/0.41  % (27778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (27778)Termination reason: Unknown
% 0.23/0.41  % (27778)Termination phase: shuffling
% 0.23/0.41  
% 0.23/0.41  % (27778)Memory used [KB]: 1023
% 0.23/0.41  % (27778)Time elapsed: 0.004 s
% 0.23/0.41  % (27778)Instructions burned: 3 (million)
% 0.23/0.41  % (27778)------------------------------
% 0.23/0.41  % (27778)------------------------------
% 0.23/0.41  % (27774)Instruction limit reached!
% 0.23/0.41  % (27774)------------------------------
% 0.23/0.41  % (27774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (27774)Termination reason: Unknown
% 0.23/0.41  % (27774)Termination phase: Saturation
% 0.23/0.41  
% 0.23/0.41  % (27774)Memory used [KB]: 5628
% 0.23/0.41  % (27774)Time elapsed: 0.011 s
% 0.23/0.41  % (27774)Instructions burned: 18 (million)
% 0.23/0.41  % (27774)------------------------------
% 0.23/0.41  % (27774)------------------------------
% 0.23/0.41  % (27777)Instruction limit reached!
% 0.23/0.41  % (27777)------------------------------
% 0.23/0.41  % (27777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (27777)Termination reason: Unknown
% 0.23/0.41  % (27777)Termination phase: Property scanning
% 0.23/0.41  
% 0.23/0.41  % (27777)Memory used [KB]: 1151
% 0.23/0.41  % (27777)Time elapsed: 0.010 s
% 0.23/0.41  % (27777)Instructions burned: 17 (million)
% 0.23/0.41  % (27777)------------------------------
% 0.23/0.41  % (27777)------------------------------
% 0.23/0.42  % (27780)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.42  % (27781)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.42  % (27782)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)
% 0.23/0.42  % (27780)Instruction limit reached!
% 0.23/0.42  % (27780)------------------------------
% 0.23/0.42  % (27780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (27780)Termination reason: Unknown
% 0.23/0.42  % (27780)Termination phase: Preprocessing 1
% 0.23/0.42  
% 0.23/0.42  % (27776)Instruction limit reached!
% 0.23/0.42  % (27776)------------------------------
% 0.23/0.42  % (27776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (27776)Termination reason: Unknown
% 0.23/0.42  % (27776)Termination phase: Saturation
% 0.23/0.42  
% 0.23/0.42  % (27776)Memory used [KB]: 5884
% 0.23/0.42  % (27776)Time elapsed: 0.021 s
% 0.23/0.42  % (27776)Instructions burned: 38 (million)
% 0.23/0.42  % (27776)------------------------------
% 0.23/0.42  % (27776)------------------------------
% 0.23/0.42  % (27780)Memory used [KB]: 1023
% 0.23/0.42  % (27780)Time elapsed: 0.006 s
% 0.23/0.42  % (27780)Instructions burned: 8 (million)
% 0.23/0.42  % (27780)------------------------------
% 0.23/0.42  % (27780)------------------------------
% 0.23/0.42  % (27782)Instruction limit reached!
% 0.23/0.42  % (27782)------------------------------
% 0.23/0.42  % (27782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (27782)Termination reason: Unknown
% 0.23/0.42  % (27782)Termination phase: shuffling
% 0.23/0.42  
% 0.23/0.42  % (27782)Memory used [KB]: 1023
% 0.23/0.42  % (27782)Time elapsed: 0.004 s
% 0.23/0.42  % (27782)Instructions burned: 4 (million)
% 0.23/0.42  % (27782)------------------------------
% 0.23/0.42  % (27782)------------------------------
% 0.23/0.42  % (27783)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)
% 0.23/0.42  % (27783)Instruction limit reached!
% 0.23/0.42  % (27783)------------------------------
% 0.23/0.42  % (27783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (27783)Termination reason: Unknown
% 0.23/0.42  % (27783)Termination phase: shuffling
% 0.23/0.42  
% 0.23/0.42  % (27783)Memory used [KB]: 1023
% 0.23/0.42  % (27783)Time elapsed: 0.004 s
% 0.23/0.42  % (27783)Instructions burned: 4 (million)
% 0.23/0.42  % (27783)------------------------------
% 0.23/0.42  % (27783)------------------------------
% 0.23/0.42  % (27784)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)
% 0.23/0.43  % (27781)Instruction limit reached!
% 0.23/0.43  % (27781)------------------------------
% 0.23/0.43  % (27781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (27781)Termination reason: Unknown
% 0.23/0.43  % (27781)Termination phase: Property scanning
% 0.23/0.43  
% 0.23/0.43  % (27781)Memory used [KB]: 1151
% 0.23/0.43  % (27781)Time elapsed: 0.010 s
% 0.23/0.43  % (27781)Instructions burned: 16 (million)
% 0.23/0.43  % (27781)------------------------------
% 0.23/0.43  % (27781)------------------------------
% 0.23/0.43  % (27784)Instruction limit reached!
% 0.23/0.43  % (27784)------------------------------
% 0.23/0.43  % (27784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (27784)Termination reason: Unknown
% 0.23/0.43  % (27784)Termination phase: shuffling
% 0.23/0.43  
% 0.23/0.43  % (27784)Memory used [KB]: 1023
% 0.23/0.43  % (27784)Time elapsed: 0.006 s
% 0.23/0.43  % (27784)Instructions burned: 7 (million)
% 0.23/0.43  % (27784)------------------------------
% 0.23/0.43  % (27784)------------------------------
% 0.23/0.44  % (27785)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)
% 0.23/0.44  % (27786)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.44  % (27785)Instruction limit reached!
% 0.23/0.44  % (27785)------------------------------
% 0.23/0.44  % (27785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (27785)Termination reason: Unknown
% 0.23/0.44  % (27785)Termination phase: shuffling
% 0.23/0.44  
% 0.23/0.44  % (27785)Memory used [KB]: 1023
% 0.23/0.44  % (27786)Instruction limit reached!
% 0.23/0.44  % (27786)------------------------------
% 0.23/0.44  % (27786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (27786)Termination reason: Unknown
% 0.23/0.44  % (27786)Termination phase: Property scanning
% 0.23/0.44  
% 0.23/0.44  % (27786)Memory used [KB]: 1023
% 0.23/0.44  % (27786)Time elapsed: 0.004 s
% 0.23/0.44  % (27786)Instructions burned: 4 (million)
% 0.23/0.44  % (27786)------------------------------
% 0.23/0.44  % (27786)------------------------------
% 0.23/0.44  % (27785)Time elapsed: 0.004 s
% 0.23/0.44  % (27785)Instructions burned: 4 (million)
% 0.23/0.44  % (27785)------------------------------
% 0.23/0.44  % (27785)------------------------------
% 0.23/0.44  % (27787)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)
% 0.23/0.44  % (27788)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.44  % (27790)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)
% 0.23/0.45  % (27787)Instruction limit reached!
% 0.23/0.45  % (27787)------------------------------
% 0.23/0.45  % (27787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (27787)Termination reason: Unknown
% 0.23/0.45  % (27787)Termination phase: Saturation
% 0.23/0.45  
% 0.23/0.45  % (27787)Memory used [KB]: 5628
% 0.23/0.45  % (27787)Time elapsed: 0.013 s
% 0.23/0.45  % (27787)Instructions burned: 19 (million)
% 0.23/0.45  % (27787)------------------------------
% 0.23/0.45  % (27787)------------------------------
% 0.23/0.45  % (27789)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.45  % (27791)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)
% 0.23/0.45  % (27789)Instruction limit reached!
% 0.23/0.45  % (27789)------------------------------
% 0.23/0.45  % (27789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (27789)Termination reason: Unknown
% 0.23/0.45  % (27789)Termination phase: shuffling
% 0.23/0.45  
% 0.23/0.45  % (27789)Memory used [KB]: 1023
% 0.23/0.45  % (27789)Time elapsed: 0.006 s
% 0.23/0.45  % (27789)Instructions burned: 7 (million)
% 0.23/0.45  % (27789)------------------------------
% 0.23/0.45  % (27789)------------------------------
% 0.23/0.46  % (27792)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.46  % (27790)Refutation not found, incomplete strategy
% 0.23/0.46  % (27790)------------------------------
% 0.23/0.46  % (27790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (27790)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46  
% 0.23/0.46  
% 0.23/0.46  % (27790)Memory used [KB]: 5756
% 0.23/0.46  % (27790)Time elapsed: 0.016 s
% 0.23/0.46  % (27790)Instructions burned: 27 (million)
% 0.23/0.46  % (27790)------------------------------
% 0.23/0.46  % (27790)------------------------------
% 0.23/0.46  % (27792)Instruction limit reached!
% 0.23/0.46  % (27792)------------------------------
% 0.23/0.46  % (27792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (27792)Termination reason: Unknown
% 0.23/0.46  % (27792)Termination phase: shuffling
% 0.23/0.46  
% 0.23/0.46  % (27792)Memory used [KB]: 1023
% 0.23/0.46  % (27792)Time elapsed: 0.004 s
% 0.23/0.46  % (27792)Instructions burned: 5 (million)
% 0.23/0.46  % (27792)------------------------------
% 0.23/0.46  % (27792)------------------------------
% 0.23/0.46  % (27793)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)
% 0.23/0.46  % (27791)Instruction limit reached!
% 0.23/0.46  % (27791)------------------------------
% 0.23/0.46  % (27791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (27791)Termination reason: Unknown
% 0.23/0.46  % (27791)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (27791)Memory used [KB]: 5628
% 0.23/0.46  % (27791)Time elapsed: 0.014 s
% 0.23/0.46  % (27791)Instructions burned: 21 (million)
% 0.23/0.46  % (27791)------------------------------
% 0.23/0.46  % (27791)------------------------------
% 0.23/0.47  % (27793)Instruction limit reached!
% 0.23/0.47  % (27793)------------------------------
% 0.23/0.47  % (27793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47  % (27793)Termination reason: Unknown
% 0.23/0.47  % (27793)Termination phase: shuffling
% 0.23/0.47  
% 0.23/0.47  % (27793)Memory used [KB]: 1151
% 0.23/0.47  % (27793)Time elapsed: 0.005 s
% 0.23/0.47  % (27793)Instructions burned: 6 (million)
% 0.23/0.47  % (27793)------------------------------
% 0.23/0.47  % (27793)------------------------------
% 0.23/0.47  % (27794)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.47  % (27795)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)
% 0.23/0.48  % (27797)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)
% 0.23/0.48  % (27796)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)
% 0.23/0.48  % (27798)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.23/0.49  % (27796)Instruction limit reached!
% 0.23/0.49  % (27796)------------------------------
% 0.23/0.49  % (27796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (27796)Termination reason: Unknown
% 0.23/0.49  % (27796)Termination phase: Saturation
% 0.23/0.49  
% 0.23/0.49  % (27796)Memory used [KB]: 5628
% 0.23/0.49  % (27796)Time elapsed: 0.012 s
% 0.23/0.49  % (27796)Instructions burned: 20 (million)
% 0.23/0.49  % (27796)------------------------------
% 0.23/0.49  % (27796)------------------------------
% 0.23/0.49  % (27798)Instruction limit reached!
% 0.23/0.49  % (27798)------------------------------
% 0.23/0.49  % (27798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (27798)Termination reason: Unknown
% 0.23/0.49  % (27798)Termination phase: Saturation
% 0.23/0.49  
% 0.23/0.49  % (27798)Memory used [KB]: 5628
% 0.23/0.49  % (27798)Time elapsed: 0.011 s
% 0.23/0.49  % (27798)Instructions burned: 18 (million)
% 0.23/0.49  % (27798)------------------------------
% 0.23/0.49  % (27798)------------------------------
% 0.23/0.49  % (27768)Instruction limit reached!
% 0.23/0.49  % (27768)------------------------------
% 0.23/0.49  % (27768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49  % (27768)Termination reason: Unknown
% 0.23/0.49  % (27768)Termination phase: Saturation
% 0.23/0.49  
% 0.23/0.49  % (27768)Memory used [KB]: 6396
% 0.23/0.49  % (27768)Time elapsed: 0.110 s
% 0.23/0.49  % (27768)Instructions burned: 184 (million)
% 0.23/0.49  % (27768)------------------------------
% 0.23/0.49  % (27768)------------------------------
% 0.23/0.50  % (27800)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.50  % (27801)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 (2998ds/127Mi)
% 0.23/0.51  % (27799)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.51  % (27799)Instruction limit reached!
% 0.23/0.51  % (27799)------------------------------
% 0.23/0.51  % (27799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51  % (27799)Termination reason: Unknown
% 0.23/0.51  % (27799)Termination phase: shuffling
% 0.23/0.51  
% 0.23/0.51  % (27799)Memory used [KB]: 1023
% 0.23/0.51  % (27799)Time elapsed: 0.003 s
% 0.23/0.51  % (27799)Instructions burned: 3 (million)
% 0.23/0.51  % (27799)------------------------------
% 0.23/0.51  % (27799)------------------------------
% 0.23/0.51  % (27800)Instruction limit reached!
% 0.23/0.51  % (27800)------------------------------
% 0.23/0.51  % (27800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51  % (27800)Termination reason: Unknown
% 0.23/0.51  % (27800)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (27800)Memory used [KB]: 5756
% 0.23/0.51  % (27800)Time elapsed: 0.011 s
% 0.23/0.51  % (27800)Instructions burned: 32 (million)
% 0.23/0.51  % (27800)------------------------------
% 0.23/0.51  % (27800)------------------------------
% 0.23/0.52  % (27803)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)
% 0.23/0.52  % (27803)Instruction limit reached!
% 0.23/0.52  % (27803)------------------------------
% 0.23/0.52  % (27803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52  % (27803)Termination reason: Unknown
% 0.23/0.52  % (27803)Termination phase: shuffling
% 0.23/0.52  
% 0.23/0.52  % (27803)Memory used [KB]: 1023
% 0.23/0.52  % (27803)Time elapsed: 0.002 s
% 0.23/0.52  % (27803)Instructions burned: 3 (million)
% 0.23/0.52  % (27803)------------------------------
% 0.23/0.52  % (27803)------------------------------
% 0.23/0.52  % (27802)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 (2998ds/100Mi)
% 0.23/0.53  % (27804)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)
% 0.23/0.53  % (27804)Refutation not found, incomplete strategy
% 0.23/0.53  % (27804)------------------------------
% 0.23/0.53  % (27804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53  % (27804)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53  
% 0.23/0.53  
% 0.23/0.53  % (27804)Memory used [KB]: 5628
% 0.23/0.53  % (27804)Time elapsed: 0.006 s
% 0.23/0.53  % (27804)Instructions burned: 14 (million)
% 0.23/0.53  % (27804)------------------------------
% 0.23/0.53  % (27804)------------------------------
% 0.23/0.54  % (27795)First to succeed.
% 0.23/0.54  % (27805)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)
% 0.23/0.54  % (27795)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Theorem for theBenchmark
% 0.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54  % (27795)------------------------------
% 0.23/0.54  % (27795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54  % (27795)Termination reason: Refutation
% 0.23/0.54  
% 0.23/0.54  % (27795)Memory used [KB]: 6396
% 0.23/0.54  % (27795)Time elapsed: 0.071 s
% 0.23/0.54  % (27795)Instructions burned: 183 (million)
% 0.23/0.54  % (27795)------------------------------
% 0.23/0.54  % (27795)------------------------------
% 0.23/0.54  % (27767)Success in time 0.182 s
% 0.23/0.54  % Vampire---4.8 exiting
%------------------------------------------------------------------------------