TSTP Solution File: ITP012^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP012^1 : TPTP v8.1.2. 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 : n027.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 : Sun May  5 06:47:26 EDT 2024

% Result   : Theorem 0.23s 0.45s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   83
% Syntax   : Number of formulae    :  145 (  10 unt;  73 typ;   0 def)
%            Number of atoms       :  400 ( 130 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :  504 (  71   ~;  94   |;  10   &; 305   @)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   96 (  96   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   72 (  69 usr;  27 con; 0-3 aty)
%            Number of variables   :   95 (   0   ^  89   !;   6   ?;  95   :)

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

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

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

thf(type_def_9,type,
    mono_2Etyop_2Einteger_2Eint: $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,
    mono_2Etyop_2Einteger_2Eint: $tType ).

thf(func_def_4,type,
    tyop_2Einteger_2Eint: d ).

thf(func_def_5,type,
    tyop_2Emin_2Ebool: d ).

thf(func_def_6,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(func_def_7,type,
    s: d > u > du ).

thf(func_def_8,type,
    app_2E2: du > du > u ).

thf(func_def_9,type,
    combin_i_2E0: u ).

thf(func_def_10,type,
    combin_k_2E0: u ).

thf(func_def_11,type,
    combin_s_2E0: u ).

thf(func_def_12,type,
    c_2Ebool_2E_21_2E0: u ).

thf(func_def_13,type,
    c_2Ebool_2E_21_2E1: du > u ).

thf(func_def_14,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

thf(func_def_15,type,
    c_2Ebool_2E_2F_5C_2E2: du > du > u ).

thf(func_def_16,type,
    c_2Emin_2E_3D_2E0: u ).

thf(func_def_17,type,
    c_2Emin_2E_3D_2E2: du > du > u ).

thf(func_def_18,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

thf(func_def_19,type,
    c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).

thf(func_def_20,type,
    c_2Ebool_2E_3F_2E0: u ).

thf(func_def_21,type,
    c_2Ebool_2E_3F_2E1: du > u ).

thf(func_def_22,type,
    c_2Ebool_2EF_2E0: u ).

thf(func_def_23,type,
    c_2Ebool_2ET_2E0: u ).

thf(func_def_24,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

thf(func_def_25,type,
    c_2Ebool_2E_5C_2F_2E2: du > du > u ).

thf(func_def_26,type,
    c_2Einteger_2Eint__add_2E0: u ).

thf(func_def_27,type,
    c_2Einteger_2Eint__add_2E2: du > du > u ).

thf(func_def_28,type,
    c_2Einteger_2Eint__divides_2E0: u ).

thf(func_def_29,type,
    c_2Einteger_2Eint__divides_2E2: du > du > u ).

thf(func_def_30,type,
    c_2Einteger_2Eint__neg_2E0: u ).

thf(func_def_31,type,
    c_2Einteger_2Eint__neg_2E1: du > u ).

thf(func_def_32,type,
    c_2Einteger_2Eint__sub_2E0: u ).

thf(func_def_33,type,
    c_2Einteger_2Eint__sub_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_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(func_def_39,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(func_def_40,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_41,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_42,type,
    mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).

thf(func_def_43,type,
    mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).

thf(func_def_46,type,
    mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).

thf(func_def_47,type,
    mono_2Ec_2Einteger_2Eint__add: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_48,type,
    mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(func_def_49,type,
    mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_50,type,
    mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_51,type,
    mono_2Ec_2Ebool_2E_7E: $o > $o ).

thf(func_def_52,type,
    i_mono_2Etyop_2Emin_2Ebool: $o > u ).

thf(func_def_53,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).

thf(func_def_54,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_55,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(func_def_56,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(func_def_57,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).

thf(func_def_58,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).

thf(func_def_59,type,
    i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).

thf(func_def_60,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(func_def_61,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).

thf(func_def_62,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_63,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Einteger_2Eint > $o ).

thf(func_def_64,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(func_def_65,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_66,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_67,type,
    j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).

thf(func_def_77,type,
    sK0: mono_2Etyop_2Einteger_2Eint ).

thf(func_def_78,type,
    sK1: mono_2Etyop_2Einteger_2Eint ).

thf(func_def_79,type,
    sK2: mono_2Etyop_2Einteger_2Eint ).

thf(f655,plain,
    $false,
    inference(avatar_sat_refutation,[],[f203,f212,f434,f443,f650]) ).

thf(f650,plain,
    ( ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

thf(f649,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f648]) ).

thf(f648,plain,
    ( ( $false = $true )
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f647,f211]) ).

thf(f211,plain,
    ( ( $false
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f209]) ).

thf(f209,plain,
    ( spl3_4
  <=> ( $false
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

thf(f647,plain,
    ( ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f630,f161]) ).

thf(f161,plain,
    ( $true
    = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) ),
    inference(cnf_transformation,[],[f150]) ).

thf(f150,plain,
    ( ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) )
    & ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
     != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f143,f149]) ).

thf(f149,plain,
    ( ? [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
        ( ( $true
          = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
        & ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
         != ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X2 ) ) ) )
   => ( ( $true
        = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) )
      & ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
       != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f143,plain,
    ? [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ( $true
        = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
      & ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
       != ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X2 ) ) ) ),
    inference(ennf_transformation,[],[f90]) ).

thf(f90,plain,
    ~ ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
        ( ( $true
          = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
       => ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
          = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X2 ) ) ) ),
    inference(fool_elimination,[],[f89]) ).

thf(f89,plain,
    ~ ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
       => ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
          = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f69]) ).

thf(f69,negated_conjecture,
    ~ ! [X27: mono_2Etyop_2Einteger_2Eint,X29: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X28 )
       => ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X29 )
          = ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ ( mono_2Ec_2Einteger_2Eint__sub @ X29 @ X28 ) ) ) ),
    inference(negated_conjecture,[],[f68]) ).

thf(f68,conjecture,
    ! [X27: mono_2Etyop_2Einteger_2Eint,X29: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X28 )
     => ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X29 )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ ( mono_2Ec_2Einteger_2Eint__sub @ X29 @ X28 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.frW5vplqWT/Vampire---4.8_17891',thm_2Einteger_2EINT__DIVIDES__RSUB) ).

thf(f630,plain,
    ( ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ( $true
     != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) )
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f622]) ).

thf(f622,plain,
    ( ( $true
     != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) )
    | ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ( $false = $true )
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(superposition,[],[f202,f583]) ).

thf(f583,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 ) ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ X1 )
         != $true )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ X0 )
          = $true ) )
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f563,f176]) ).

thf(f176,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
      = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ),
    inference(cnf_transformation,[],[f142]) ).

thf(f142,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
        = ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X1 ) )
      & ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) ),
    inference(rectify,[],[f57]) ).

thf(f57,axiom,
    ! [X27: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X28 )
        = ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X27 ) @ X28 ) )
      & ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X28 )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ ( mono_2Ec_2Einteger_2Eint__neg @ X28 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.frW5vplqWT/Vampire---4.8_17891',thm_2Einteger_2EINT__DIVIDES__NEG) ).

thf(f563,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 ) ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) )
         != $true )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ X0 )
          = $true ) )
    | ~ spl3_4 ),
    inference(superposition,[],[f461,f178]) ).

thf(f178,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X0 )
      = ( mono_2Ec_2Einteger_2Eint__add @ X1 @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) ) ),
    inference(cnf_transformation,[],[f141]) ).

thf(f141,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X0 )
      = ( mono_2Ec_2Einteger_2Eint__add @ X1 @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) ) ),
    inference(rectify,[],[f55]) ).

thf(f55,axiom,
    ! [X26: mono_2Etyop_2Einteger_2Eint,X25: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ X25 @ X26 )
      = ( mono_2Ec_2Einteger_2Eint__add @ X25 @ ( mono_2Ec_2Einteger_2Eint__neg @ X26 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.frW5vplqWT/Vampire---4.8_17891',thm_2Einteger_2Eint__sub) ).

thf(f461,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X1 @ X2 ) ) )
        | ( $true
         != ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
          = $true ) )
    | ~ spl3_4 ),
    inference(superposition,[],[f159,f449]) ).

thf(f449,plain,
    ( ! [X0: $o] :
        ( ( $true = X0 )
        | ( $false = X0 ) )
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f448]) ).

thf(f448,plain,
    ( ! [X0: $o] :
        ( ( $true = X0 )
        | ( $false = X0 )
        | ( $false = $true ) )
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f445,f211]) ).

thf(f445,plain,
    ( ! [X0: $o] :
        ( ( $false = X0 )
        | ( $true
          = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
        | ( $true = X0 ) )
    | ~ spl3_4 ),
    inference(binary_proxy_clausification,[],[f444]) ).

thf(f444,plain,
    ( ! [X0: $o] :
        ( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 )
          = X0 )
        | ( $true = X0 ) )
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f437]) ).

thf(f437,plain,
    ( ! [X0: $o] :
        ( ( $true = X0 )
        | ( $false = $true )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 )
          = X0 ) )
    | ~ spl3_4 ),
    inference(superposition,[],[f211,f163]) ).

thf(f163,plain,
    ! [X0: $o,X1: $o] :
      ( ( $true = X1 )
      | ( $true = X0 )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f146]) ).

thf(f146,plain,
    ! [X0: $o,X1: $o] :
      ( ( X0 = X1 )
      | ( ( $true != X1 )
        & ( $true = X0 ) )
      | ( ( $true != X0 )
        & ( $true = X1 ) ) ),
    inference(flattening,[],[f145]) ).

thf(f145,plain,
    ! [X0: $o,X1: $o] :
      ( ( X0 = X1 )
      | ( ( $true != X0 )
        & ( $true = X1 ) )
      | ( ( $true != X1 )
        & ( $true = X0 ) ) ),
    inference(ennf_transformation,[],[f100]) ).

thf(f100,plain,
    ! [X0: $o,X1: $o] :
      ( ( ( $true = X0 )
       => ( $true = X1 ) )
     => ( ( ( $true = X1 )
         => ( $true = X0 ) )
       => ( X0 = X1 ) ) ),
    inference(fool_elimination,[],[f99]) ).

thf(f99,plain,
    ! [X0: $o,X1: $o] :
      ( ( X0
       => X1 )
     => ( ( X1
         => X0 )
       => ( X0 = X1 ) ) ),
    inference(rectify,[],[f44]) ).

thf(f44,axiom,
    ! [X15: $o,X16: $o] :
      ( ( X15
       => X16 )
     => ( ( X16
         => X15 )
       => ( X15 = X16 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.frW5vplqWT/Vampire---4.8_17891',thm_2Ebool_2EIMP__ANTISYM__AX) ).

thf(f159,plain,
    ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
      | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[],[f144]) ).

thf(f144,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
       != $true )
      | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
    inference(ennf_transformation,[],[f118]) ).

thf(f118,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
        = $true )
     => ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
    inference(fool_elimination,[],[f117]) ).

thf(f117,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
     => ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
    inference(rectify,[],[f56]) ).

thf(f56,axiom,
    ! [X27: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint,X29: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X28 )
     => ( ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ ( mono_2Ec_2Einteger_2Eint__add @ X29 @ X28 ) )
        = ( mono_2Ec_2Einteger_2Eint__divides @ X27 @ X29 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.frW5vplqWT/Vampire---4.8_17891',thm_2Einteger_2EINT__DIVIDES__RADD) ).

thf(f202,plain,
    ( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
      = $true )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f200]) ).

thf(f200,plain,
    ( spl3_2
  <=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f443,plain,
    ( ~ spl3_1
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f442]) ).

thf(f442,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f435]) ).

thf(f435,plain,
    ( ( $false = $true )
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(superposition,[],[f211,f198]) ).

thf(f198,plain,
    ( ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f196]) ).

thf(f196,plain,
    ( spl3_1
  <=> ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f434,plain,
    ( spl3_4
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f433,f205,f209]) ).

thf(f205,plain,
    ( spl3_3
  <=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

thf(f433,plain,
    ( ( $false
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f415,f161]) ).

thf(f415,plain,
    ( ( $true
     != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) )
    | ( $false
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ~ spl3_3 ),
    inference(trivial_inequality_removal,[],[f410]) ).

thf(f410,plain,
    ( ( $false = $true )
    | ( $false
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ( $true
     != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK2 ) )
    | ~ spl3_3 ),
    inference(superposition,[],[f381,f207]) ).

thf(f207,plain,
    ( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
      = $false )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f205]) ).

thf(f381,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $true
          = ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 ) ) )
        | ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ X0 ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ X1 )
         != $true ) )
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f360,f176]) ).

thf(f360,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $true
          = ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 ) ) )
        | ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ X0 ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X2 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) )
         != $true ) )
    | ~ spl3_3 ),
    inference(superposition,[],[f293,f178]) ).

thf(f293,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X1 @ X2 ) )
          = $true )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
          = $false )
        | ( $true
         != ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) )
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f292,f177]) ).

thf(f177,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
      = ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X1 ) ),
    inference(cnf_transformation,[],[f142]) ).

thf(f292,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X1 @ X2 ) )
          = $true )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
          = $false )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X2 )
         != $true ) )
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f281,f177]) ).

thf(f281,plain,
    ( ! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X1 ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X1 @ X2 ) )
          = $true )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X2 )
         != $true ) )
    | ~ spl3_3 ),
    inference(superposition,[],[f235,f159]) ).

thf(f235,plain,
    ( ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
        ( ( $false
          = ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X1 ) )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
          = $true ) )
    | ~ spl3_3 ),
    inference(superposition,[],[f177,f226]) ).

thf(f226,plain,
    ( ! [X0: $o] :
        ( ( $true = X0 )
        | ( $false = X0 ) )
    | ~ spl3_3 ),
    inference(trivial_inequality_removal,[],[f225]) ).

thf(f225,plain,
    ( ! [X0: $o] :
        ( ( $false = $true )
        | ( $false = X0 )
        | ( $true = X0 ) )
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f221,f207]) ).

thf(f221,plain,
    ( ! [X0: $o] :
        ( ( $true = X0 )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
          = $true )
        | ( $false = X0 ) )
    | ~ spl3_3 ),
    inference(binary_proxy_clausification,[],[f220]) ).

thf(f220,plain,
    ( ! [X0: $o] :
        ( ( $true = X0 )
        | ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
          = X0 ) )
    | ~ spl3_3 ),
    inference(trivial_inequality_removal,[],[f214]) ).

thf(f214,plain,
    ( ! [X0: $o] :
        ( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
          = X0 )
        | ( $true = X0 )
        | ( $false = $true ) )
    | ~ spl3_3 ),
    inference(superposition,[],[f207,f163]) ).

thf(f212,plain,
    ( spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f194,f209,f205]) ).

thf(f194,plain,
    ( ( $false
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f160]) ).

thf(f160,plain,
    ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
   != ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) ),
    inference(cnf_transformation,[],[f150]) ).

thf(f203,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f193,f200,f196]) ).

thf(f193,plain,
    ( ( $true
      = ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ sK1 ) )
    | ( ( mono_2Ec_2Einteger_2Eint__divides @ sK0 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK1 @ sK2 ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f160]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : ITP012^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.15/0.16  % 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
% 0.15/0.38  % Computer : n027.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   : Fri May  3 19:04:08 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a TH0_THM_EQU_NAR problem
% 0.15/0.38  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/tmp/tmp.frW5vplqWT/Vampire---4.8_17891
% 0.23/0.41  % (18166)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.23/0.41  % (18167)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 Vampire---4 for (2999ds/4Mi)
% 0.23/0.41  % (18168)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 Vampire---4 for (2999ds/27Mi)
% 0.23/0.41  % (18170)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.41  % (18169)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.41  % (18171)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.23/0.41  % (18172)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.41  % (18169)Instruction limit reached!
% 0.23/0.41  % (18169)------------------------------
% 0.23/0.41  % (18169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (18169)Termination reason: Unknown
% 0.23/0.41  % (18169)Termination phase: shuffling
% 0.23/0.41  
% 0.23/0.41  % (18170)Instruction limit reached!
% 0.23/0.41  % (18170)------------------------------
% 0.23/0.41  % (18170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (18170)Termination reason: Unknown
% 0.23/0.41  % (18170)Termination phase: shuffling
% 0.23/0.41  
% 0.23/0.41  % (18170)Memory used [KB]: 1151
% 0.23/0.41  % (18170)Time elapsed: 0.004 s
% 0.23/0.41  % (18170)Instructions burned: 3 (million)
% 0.23/0.41  % (18170)------------------------------
% 0.23/0.41  % (18170)------------------------------
% 0.23/0.41  % (18169)Memory used [KB]: 1151
% 0.23/0.41  % (18169)Time elapsed: 0.003 s
% 0.23/0.41  % (18169)Instructions burned: 2 (million)
% 0.23/0.41  % (18169)------------------------------
% 0.23/0.41  % (18169)------------------------------
% 0.23/0.41  % (18167)Instruction limit reached!
% 0.23/0.41  % (18167)------------------------------
% 0.23/0.41  % (18167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (18167)Termination reason: Unknown
% 0.23/0.41  % (18167)Termination phase: shuffling
% 0.23/0.41  
% 0.23/0.41  % (18167)Memory used [KB]: 1151
% 0.23/0.41  % (18167)Time elapsed: 0.005 s
% 0.23/0.41  % (18167)Instructions burned: 5 (million)
% 0.23/0.41  % (18167)------------------------------
% 0.23/0.41  % (18167)------------------------------
% 0.23/0.41  % (18173)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.41  % (18173)Instruction limit reached!
% 0.23/0.41  % (18173)------------------------------
% 0.23/0.41  % (18173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (18173)Termination reason: Unknown
% 0.23/0.41  % (18173)Termination phase: shuffling
% 0.23/0.41  
% 0.23/0.41  % (18173)Memory used [KB]: 1151
% 0.23/0.41  % (18173)Time elapsed: 0.004 s
% 0.23/0.41  % (18173)Instructions burned: 3 (million)
% 0.23/0.41  % (18173)------------------------------
% 0.23/0.41  % (18173)------------------------------
% 0.23/0.42  % (18172)Instruction limit reached!
% 0.23/0.42  % (18172)------------------------------
% 0.23/0.42  % (18172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (18172)Termination reason: Unknown
% 0.23/0.42  % (18172)Termination phase: Property scanning
% 0.23/0.42  
% 0.23/0.42  % (18172)Memory used [KB]: 1279
% 0.23/0.42  % (18172)Time elapsed: 0.012 s
% 0.23/0.42  % (18172)Instructions burned: 20 (million)
% 0.23/0.42  % (18172)------------------------------
% 0.23/0.42  % (18172)------------------------------
% 0.23/0.42  % (18168)Instruction limit reached!
% 0.23/0.42  % (18168)------------------------------
% 0.23/0.42  % (18168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (18168)Termination reason: Unknown
% 0.23/0.42  % (18168)Termination phase: Property scanning
% 0.23/0.42  
% 0.23/0.42  % (18168)Memory used [KB]: 1407
% 0.23/0.42  % (18168)Time elapsed: 0.016 s
% 0.23/0.42  % (18168)Instructions burned: 27 (million)
% 0.23/0.42  % (18168)------------------------------
% 0.23/0.42  % (18168)------------------------------
% 0.23/0.42  % (18182)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 Vampire---4 for (2999ds/37Mi)
% 0.23/0.42  % (18183)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 Vampire---4 for (2999ds/15Mi)
% 0.23/0.42  % (18185)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.42  % (18185)Instruction limit reached!
% 0.23/0.42  % (18185)------------------------------
% 0.23/0.42  % (18185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (18185)Termination reason: Unknown
% 0.23/0.42  % (18185)Termination phase: shuffling
% 0.23/0.42  
% 0.23/0.43  % (18185)Memory used [KB]: 1151
% 0.23/0.43  % (18185)Time elapsed: 0.004 s
% 0.23/0.43  % (18185)Instructions burned: 3 (million)
% 0.23/0.43  % (18185)------------------------------
% 0.23/0.43  % (18185)------------------------------
% 0.23/0.43  % (18188)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 Vampire---4 for (2999ds/1041Mi)
% 0.23/0.43  % (18183)Instruction limit reached!
% 0.23/0.43  % (18183)------------------------------
% 0.23/0.43  % (18183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (18183)Termination reason: Unknown
% 0.23/0.43  % (18183)Termination phase: Property scanning
% 0.23/0.43  
% 0.23/0.43  % (18183)Memory used [KB]: 1407
% 0.23/0.43  % (18183)Time elapsed: 0.011 s
% 0.23/0.43  % (18183)Instructions burned: 16 (million)
% 0.23/0.43  % (18183)------------------------------
% 0.23/0.43  % (18183)------------------------------
% 0.23/0.43  % (18191)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.43  % (18193)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.23/0.44  % (18191)Instruction limit reached!
% 0.23/0.44  % (18191)------------------------------
% 0.23/0.44  % (18191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (18191)Termination reason: Unknown
% 0.23/0.44  % (18191)Termination phase: Property scanning
% 0.23/0.44  
% 0.23/0.44  % (18191)Memory used [KB]: 1151
% 0.23/0.44  % (18191)Time elapsed: 0.006 s
% 0.23/0.44  % (18191)Instructions burned: 7 (million)
% 0.23/0.44  % (18191)------------------------------
% 0.23/0.44  % (18191)------------------------------
% 0.23/0.44  % (18197)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.44  % (18182)Instruction limit reached!
% 0.23/0.44  % (18182)------------------------------
% 0.23/0.44  % (18182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (18182)Termination reason: Unknown
% 0.23/0.44  % (18182)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (18182)Memory used [KB]: 5884
% 0.23/0.44  % (18182)Time elapsed: 0.020 s
% 0.23/0.44  % (18182)Instructions burned: 38 (million)
% 0.23/0.44  % (18182)------------------------------
% 0.23/0.44  % (18182)------------------------------
% 0.23/0.44  % (18197)Instruction limit reached!
% 0.23/0.44  % (18197)------------------------------
% 0.23/0.44  % (18197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (18197)Termination reason: Unknown
% 0.23/0.44  % (18197)Termination phase: shuffling
% 0.23/0.44  
% 0.23/0.44  % (18197)Memory used [KB]: 1151
% 0.23/0.44  % (18197)Time elapsed: 0.004 s
% 0.23/0.44  % (18197)Instructions burned: 3 (million)
% 0.23/0.44  % (18197)------------------------------
% 0.23/0.44  % (18197)------------------------------
% 0.23/0.44  % (18193)Instruction limit reached!
% 0.23/0.44  % (18193)------------------------------
% 0.23/0.44  % (18193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44  % (18193)Termination reason: Unknown
% 0.23/0.44  % (18193)Termination phase: Property scanning
% 0.23/0.44  
% 0.23/0.44  % (18193)Memory used [KB]: 1279
% 0.23/0.44  % (18193)Time elapsed: 0.011 s
% 0.23/0.44  % (18193)Instructions burned: 17 (million)
% 0.23/0.44  % (18193)------------------------------
% 0.23/0.44  % (18193)------------------------------
% 0.23/0.45  % (18201)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.45  % (18201)Instruction limit reached!
% 0.23/0.45  % (18201)------------------------------
% 0.23/0.45  % (18201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45  % (18201)Termination reason: Unknown
% 0.23/0.45  % (18201)Termination phase: shuffling
% 0.23/0.45  
% 0.23/0.45  % (18201)Memory used [KB]: 1151
% 0.23/0.45  % (18201)Time elapsed: 0.004 s
% 0.23/0.45  % (18201)Instructions burned: 3 (million)
% 0.23/0.45  % (18201)------------------------------
% 0.23/0.45  % (18201)------------------------------
% 0.23/0.45  % (18171)First to succeed.
% 0.23/0.45  % (18204)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.45  % (18171)Refutation found. Thanks to Tanya!
% 0.23/0.45  % SZS status Theorem for Vampire---4
% 0.23/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46  % (18171)------------------------------
% 0.23/0.46  % (18171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46  % (18171)Termination reason: Refutation
% 0.23/0.46  
% 0.23/0.46  % (18171)Memory used [KB]: 5756
% 0.23/0.46  % (18171)Time elapsed: 0.049 s
% 0.23/0.46  % (18171)Instructions burned: 73 (million)
% 0.23/0.46  % (18171)------------------------------
% 0.23/0.46  % (18171)------------------------------
% 0.23/0.46  % (18161)Success in time 0.049 s
% 0.23/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------