TSTP Solution File: SYO500^1.004 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO500^1.004 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:05:29 EDT 2024

% Result   : Theorem 0.23s 0.43s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   94
% Syntax   : Number of formulae    :  254 (  23 unt;   4 typ;   0 def)
%            Number of atoms       : 1594 ( 386 equ;   0 cnn)
%            Maximal formula atoms :    3 (   6 avg)
%            Number of connectives :  626 (  54   ~; 322   |;   0   &; 201   @)
%                                         (  49 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   72 (  69 usr;  67 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_1,type,
    f0: $o > $o ).

thf(func_def_2,type,
    f1: $o > $o ).

thf(func_def_3,type,
    f2: $o > $o ).

thf(func_def_4,type,
    f3: $o > $o ).

thf(f397,plain,
    $false,
    inference(avatar_sat_refutation,[],[f126,f135,f144,f149,f162,f171,f180,f185,f194,f199,f204,f205,f218,f227,f236,f241,f250,f259,f268,f277,f282,f287,f292,f293,f298,f299,f308,f313,f318,f319,f324,f325,f330,f331,f332,f333,f334,f335,f336,f337,f338,f339,f344,f349,f350,f351,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f376,f377,f378,f379,f380,f381,f382,f383,f384,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396]) ).

thf(f396,plain,
    ( ( sF4 != $true )
    | ( sF4 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f395,plain,
    ( ( ( f3 @ $true )
     != $true )
    | ( ( f3 @ $true )
     != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f394,plain,
    ( ( x != $false )
    | ( x != $true )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f393,plain,
    ( ( $true != sF11 )
    | ( sF11 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f392,plain,
    ( ( $true != sF3 )
    | ( sF3 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f391,plain,
    ( ( sF2 != $true )
    | ( sF2 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f390,plain,
    ( ( sF9 != $true )
    | ( sF9 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f389,plain,
    ( ( $true != sF10 )
    | ( $false != sF10 )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f388,plain,
    ( ( sF1 != $true )
    | ( sF1 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f387,plain,
    ( ( ( f2 @ $false )
     != $true )
    | ( ( f2 @ $false )
     != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f386,plain,
    ( ( ( f2 @ $true )
     != $true )
    | ( ( f2 @ $true )
     != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f385,plain,
    ( ( $true != sF12 )
    | ( sF12 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f384,plain,
    ( ( sF13 != $true )
    | ( sF13 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f383,plain,
    ( ( $true
     != ( f0 @ $false ) )
    | ( $false
     != ( f0 @ $false ) )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f382,plain,
    ( ( sF7 != $true )
    | ( sF7 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f381,plain,
    ( ( sF14 != $true )
    | ( sF14 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f380,plain,
    ( ( $true != sF5 )
    | ( sF5 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f379,plain,
    ( ( ( f0 @ $true )
     != $true )
    | ( ( f0 @ $true )
     != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f378,plain,
    ( ( $true != sF6 )
    | ( sF6 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f377,plain,
    ( ( ( f3 @ $false )
     != $true )
    | ( ( f3 @ $false )
     != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f376,plain,
    ( ( sF0 != $true )
    | ( sF0 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f375,plain,
    ( ( sF8 != $true )
    | ( sF8 != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f374,plain,
    ( ( ( f1 @ $false )
     != $true )
    | ( ( f1 @ $false )
     != $false )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f373,plain,
    ( ( $true
     != ( f1 @ $true ) )
    | ( $false
     != ( f1 @ $true ) )
    | ( $true = $false ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f372,plain,
    ( spl15_31
    | spl15_28
    | spl15_17 ),
    inference(avatar_split_clause,[],[f25,f187,f238,f252]) ).

thf(f252,plain,
    ( spl15_31
  <=> ( sF14 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

thf(f238,plain,
    ( spl15_28
  <=> ( $true
      = ( f0 @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

thf(f187,plain,
    ( spl15_17
  <=> ( sF13 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

thf(f25,plain,
    ( ( sF14 = $false )
    | ( $true
      = ( f0 @ $false ) )
    | ( sF13 = $true ) ),
    inference(binary_proxy_clausification,[],[f23]) ).

thf(f23,plain,
    ( ( sF13 = $true )
    | ( sF14
      = ( f0 @ $false ) ) ),
    inference(cases_simplifying,[],[f20]) ).

thf(f20,plain,
    ( sF14
    = ( f0 @ sF13 ) ),
    introduced(function_definition,[]) ).

thf(f371,plain,
    ( spl15_26
    | spl15_29
    | spl15_17 ),
    inference(avatar_split_clause,[],[f24,f187,f243,f229]) ).

thf(f229,plain,
    ( spl15_26
  <=> ( $false
      = ( f0 @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

thf(f243,plain,
    ( spl15_29
  <=> ( sF14 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

thf(f24,plain,
    ( ( sF14 = $true )
    | ( sF13 = $true )
    | ( $false
      = ( f0 @ $false ) ) ),
    inference(binary_proxy_clausification,[],[f23]) ).

thf(f370,plain,
    ( spl15_29
    | spl15_19
    | spl15_24 ),
    inference(avatar_split_clause,[],[f27,f220,f196,f243]) ).

thf(f196,plain,
    ( spl15_19
  <=> ( sF13 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

thf(f220,plain,
    ( spl15_24
  <=> ( ( f0 @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

thf(f27,plain,
    ( ( ( f0 @ $true )
      = $false )
    | ( sF13 = $false )
    | ( sF14 = $true ) ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f22,plain,
    ( ( sF13 = $false )
    | ( ( f0 @ $true )
      = sF14 ) ),
    inference(cases_simplifying,[],[f20]) ).

thf(f369,plain,
    ( spl15_22
    | spl15_31
    | spl15_19 ),
    inference(avatar_split_clause,[],[f26,f196,f252,f211]) ).

thf(f211,plain,
    ( spl15_22
  <=> ( ( f0 @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

thf(f26,plain,
    ( ( sF13 = $false )
    | ( ( f0 @ $true )
      = $true )
    | ( sF14 = $false ) ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f368,plain,
    ( spl15_28
    | spl15_32
    | spl15_25 ),
    inference(avatar_split_clause,[],[f31,f224,f256,f238]) ).

thf(f256,plain,
    ( spl15_32
  <=> ( sF7 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

thf(f224,plain,
    ( spl15_25
  <=> ( $true = sF6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

thf(f31,plain,
    ( ( sF7 = $false )
    | ( $true = sF6 )
    | ( $true
      = ( f0 @ $false ) ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f29,plain,
    ( ( sF7
      = ( f0 @ $false ) )
    | ( $true = sF6 ) ),
    inference(cases_simplifying,[],[f13]) ).

thf(f13,plain,
    ( sF7
    = ( f0 @ sF6 ) ),
    introduced(function_definition,[]) ).

thf(f367,plain,
    ( spl15_25
    | spl15_26
    | spl15_30 ),
    inference(avatar_split_clause,[],[f30,f247,f229,f224]) ).

thf(f247,plain,
    ( spl15_30
  <=> ( sF7 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

thf(f30,plain,
    ( ( $true = sF6 )
    | ( sF7 = $true )
    | ( $false
      = ( f0 @ $false ) ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f366,plain,
    ( spl15_24
    | spl15_30
    | spl15_23 ),
    inference(avatar_split_clause,[],[f33,f215,f247,f220]) ).

thf(f215,plain,
    ( spl15_23
  <=> ( sF6 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

thf(f33,plain,
    ( ( sF6 = $false )
    | ( ( f0 @ $true )
      = $false )
    | ( sF7 = $true ) ),
    inference(binary_proxy_clausification,[],[f28]) ).

thf(f28,plain,
    ( ( ( f0 @ $true )
      = sF7 )
    | ( sF6 = $false ) ),
    inference(cases_simplifying,[],[f13]) ).

thf(f365,plain,
    ( spl15_23
    | spl15_32
    | spl15_22 ),
    inference(avatar_split_clause,[],[f32,f211,f256,f215]) ).

thf(f32,plain,
    ( ( ( f0 @ $true )
      = $true )
    | ( sF6 = $false )
    | ( sF7 = $false ) ),
    inference(binary_proxy_clausification,[],[f28]) ).

thf(f364,plain,
    ( spl15_20
    | spl15_8
    | spl15_47 ),
    inference(avatar_split_clause,[],[f37,f341,f146,f201]) ).

thf(f201,plain,
    ( spl15_20
  <=> ( $true = sF12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

thf(f146,plain,
    ( spl15_8
  <=> ( ( f1 @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

thf(f341,plain,
    ( spl15_47
  <=> ( $true = sF11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).

thf(f37,plain,
    ( ( $true = sF12 )
    | ( $true = sF11 )
    | ( ( f1 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f35]) ).

thf(f35,plain,
    ( ( ( f1 @ $false )
      = sF12 )
    | ( $true = sF11 ) ),
    inference(cases_simplifying,[],[f18]) ).

thf(f18,plain,
    ( sF12
    = ( f1 @ sF11 ) ),
    introduced(function_definition,[]) ).

thf(f363,plain,
    ( spl15_47
    | spl15_18
    | spl15_7 ),
    inference(avatar_split_clause,[],[f36,f141,f191,f341]) ).

thf(f191,plain,
    ( spl15_18
  <=> ( sF12 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

thf(f141,plain,
    ( spl15_7
  <=> ( ( f1 @ $false )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

thf(f36,plain,
    ( ( sF12 = $false )
    | ( $true = sF11 )
    | ( ( f1 @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f35]) ).

thf(f362,plain,
    ( spl15_48
    | spl15_18
    | spl15_5 ),
    inference(avatar_split_clause,[],[f39,f132,f191,f346]) ).

thf(f346,plain,
    ( spl15_48
  <=> ( sF11 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).

thf(f132,plain,
    ( spl15_5
  <=> ( $true
      = ( f1 @ $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

thf(f39,plain,
    ( ( $true
      = ( f1 @ $true ) )
    | ( sF11 = $false )
    | ( sF12 = $false ) ),
    inference(binary_proxy_clausification,[],[f34]) ).

thf(f34,plain,
    ( ( sF12
      = ( f1 @ $true ) )
    | ( sF11 = $false ) ),
    inference(cases_simplifying,[],[f18]) ).

thf(f361,plain,
    ( spl15_48
    | spl15_20
    | spl15_3 ),
    inference(avatar_split_clause,[],[f38,f123,f201,f346]) ).

thf(f123,plain,
    ( spl15_3
  <=> ( $false
      = ( f1 @ $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

thf(f38,plain,
    ( ( sF11 = $false )
    | ( $false
      = ( f1 @ $true ) )
    | ( $true = sF12 ) ),
    inference(binary_proxy_clausification,[],[f34]) ).

thf(f360,plain,
    ( spl15_37
    | spl15_35
    | spl15_39 ),
    inference(avatar_split_clause,[],[f43,f289,f270,f279]) ).

thf(f279,plain,
    ( spl15_37
  <=> ( ( f2 @ $false )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

thf(f270,plain,
    ( spl15_35
  <=> ( sF1 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

thf(f289,plain,
    ( spl15_39
  <=> ( sF2 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

thf(f43,plain,
    ( ( sF2 = $false )
    | ( ( f2 @ $false )
      = $true )
    | ( sF1 = $true ) ),
    inference(binary_proxy_clausification,[],[f41]) ).

thf(f41,plain,
    ( ( sF2
      = ( f2 @ $false ) )
    | ( sF1 = $true ) ),
    inference(cases_simplifying,[],[f8]) ).

thf(f8,plain,
    ( sF2
    = ( f2 @ sF1 ) ),
    introduced(function_definition,[]) ).

thf(f359,plain,
    ( spl15_35
    | spl15_38
    | spl15_40 ),
    inference(avatar_split_clause,[],[f42,f295,f284,f270]) ).

thf(f284,plain,
    ( spl15_38
  <=> ( ( f2 @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

thf(f295,plain,
    ( spl15_40
  <=> ( sF2 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

thf(f42,plain,
    ( ( sF1 = $true )
    | ( ( f2 @ $false )
      = $false )
    | ( sF2 = $true ) ),
    inference(binary_proxy_clausification,[],[f41]) ).

thf(f358,plain,
    ( spl15_39
    | spl15_34
    | spl15_33 ),
    inference(avatar_split_clause,[],[f45,f261,f265,f289]) ).

thf(f265,plain,
    ( spl15_34
  <=> ( sF1 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

thf(f261,plain,
    ( spl15_33
  <=> ( ( f2 @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

thf(f45,plain,
    ( ( sF2 = $false )
    | ( ( f2 @ $true )
      = $true )
    | ( sF1 = $false ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f40,plain,
    ( ( sF1 = $false )
    | ( sF2
      = ( f2 @ $true ) ) ),
    inference(cases_simplifying,[],[f8]) ).

thf(f357,plain,
    ( spl15_36
    | spl15_34
    | spl15_40 ),
    inference(avatar_split_clause,[],[f44,f295,f265,f274]) ).

thf(f274,plain,
    ( spl15_36
  <=> ( ( f2 @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

thf(f44,plain,
    ( ( sF2 = $true )
    | ( sF1 = $false )
    | ( ( f2 @ $true )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f356,plain,
    ~ spl15_49,
    inference(avatar_split_clause,[],[f3,f353]) ).

thf(f353,plain,
    ( spl15_49
  <=> ( $true = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).

thf(f3,plain,
    $true != $false,
    introduced(fool_axiom,[]) ).

thf(f351,plain,
    ( spl15_47
    | spl15_8
    | spl15_43 ),
    inference(avatar_split_clause,[],[f49,f310,f146,f341]) ).

thf(f310,plain,
    ( spl15_43
  <=> ( $true = sF10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).

thf(f49,plain,
    ( ( $true = sF10 )
    | ( $true = sF11 )
    | ( ( f1 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f47]) ).

thf(f47,plain,
    ( ( $true = sF10 )
    | ( ( f1 @ $false )
      = sF11 ) ),
    inference(cases_simplifying,[],[f17]) ).

thf(f17,plain,
    ( ( f1 @ sF10 )
    = sF11 ),
    introduced(function_definition,[]) ).

thf(f350,plain,
    ( spl15_48
    | spl15_7
    | spl15_43 ),
    inference(avatar_split_clause,[],[f48,f310,f141,f346]) ).

thf(f48,plain,
    ( ( ( f1 @ $false )
      = $true )
    | ( $true = sF10 )
    | ( sF11 = $false ) ),
    inference(binary_proxy_clausification,[],[f47]) ).

thf(f349,plain,
    ( spl15_48
    | spl15_5
    | spl15_42 ),
    inference(avatar_split_clause,[],[f51,f305,f132,f346]) ).

thf(f305,plain,
    ( spl15_42
  <=> ( $false = sF10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).

thf(f51,plain,
    ( ( sF11 = $false )
    | ( $true
      = ( f1 @ $true ) )
    | ( $false = sF10 ) ),
    inference(binary_proxy_clausification,[],[f46]) ).

thf(f46,plain,
    ( ( $false = sF10 )
    | ( sF11
      = ( f1 @ $true ) ) ),
    inference(cases_simplifying,[],[f17]) ).

thf(f344,plain,
    ( spl15_42
    | spl15_47
    | spl15_3 ),
    inference(avatar_split_clause,[],[f50,f123,f341,f305]) ).

thf(f50,plain,
    ( ( $false
      = ( f1 @ $true ) )
    | ( $true = sF11 )
    | ( $false = sF10 ) ),
    inference(binary_proxy_clausification,[],[f46]) ).

thf(f339,plain,
    ( spl15_41
    | spl15_10
    | spl15_14 ),
    inference(avatar_split_clause,[],[f55,f173,f155,f301]) ).

thf(f301,plain,
    ( spl15_41
  <=> ( sF9 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).

thf(f155,plain,
    ( spl15_10
  <=> ( sF8 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

thf(f173,plain,
    ( spl15_14
  <=> ( ( f3 @ $false )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

thf(f55,plain,
    ( ( sF8 = $true )
    | ( sF9 = $false )
    | ( ( f3 @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f53]) ).

thf(f53,plain,
    ( ( sF8 = $true )
    | ( sF9
      = ( f3 @ $false ) ) ),
    inference(cases_simplifying,[],[f15]) ).

thf(f15,plain,
    ( sF9
    = ( f3 @ sF8 ) ),
    introduced(function_definition,[]) ).

thf(f338,plain,
    ( spl15_44
    | spl15_16
    | spl15_10 ),
    inference(avatar_split_clause,[],[f54,f155,f182,f315]) ).

thf(f315,plain,
    ( spl15_44
  <=> ( sF9 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

thf(f182,plain,
    ( spl15_16
  <=> ( ( f3 @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

thf(f54,plain,
    ( ( sF9 = $true )
    | ( sF8 = $true )
    | ( ( f3 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f53]) ).

thf(f337,plain,
    ( spl15_13
    | spl15_41
    | spl15_12 ),
    inference(avatar_split_clause,[],[f57,f164,f301,f168]) ).

thf(f168,plain,
    ( spl15_13
  <=> ( ( f3 @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

thf(f164,plain,
    ( spl15_12
  <=> ( sF8 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

thf(f57,plain,
    ( ( sF9 = $false )
    | ( ( f3 @ $true )
      = $true )
    | ( sF8 = $false ) ),
    inference(binary_proxy_clausification,[],[f52]) ).

thf(f52,plain,
    ( ( sF8 = $false )
    | ( sF9
      = ( f3 @ $true ) ) ),
    inference(cases_simplifying,[],[f15]) ).

thf(f336,plain,
    ( spl15_44
    | spl15_12
    | spl15_9 ),
    inference(avatar_split_clause,[],[f56,f151,f164,f315]) ).

thf(f151,plain,
    ( spl15_9
  <=> ( ( f3 @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

thf(f56,plain,
    ( ( sF9 = $true )
    | ( ( f3 @ $true )
      = $false )
    | ( sF8 = $false ) ),
    inference(binary_proxy_clausification,[],[f52]) ).

thf(f335,plain,
    ( spl15_21
    | spl15_28
    | spl15_1 ),
    inference(avatar_split_clause,[],[f61,f115,f238,f207]) ).

thf(f207,plain,
    ( spl15_21
  <=> ( sF5 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

thf(f115,plain,
    ( spl15_1
  <=> ( sF4 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

thf(f61,plain,
    ( ( $true
      = ( f0 @ $false ) )
    | ( sF5 = $false )
    | ( sF4 = $true ) ),
    inference(binary_proxy_clausification,[],[f59]) ).

thf(f59,plain,
    ( ( sF5
      = ( f0 @ $false ) )
    | ( sF4 = $true ) ),
    inference(cases_simplifying,[],[f11]) ).

thf(f11,plain,
    ( ( f0 @ sF4 )
    = sF5 ),
    introduced(function_definition,[]) ).

thf(f334,plain,
    ( spl15_1
    | spl15_27
    | spl15_26 ),
    inference(avatar_split_clause,[],[f60,f229,f233,f115]) ).

thf(f233,plain,
    ( spl15_27
  <=> ( $true = sF5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

thf(f60,plain,
    ( ( $true = sF5 )
    | ( sF4 = $true )
    | ( $false
      = ( f0 @ $false ) ) ),
    inference(binary_proxy_clausification,[],[f59]) ).

thf(f333,plain,
    ( spl15_4
    | spl15_27
    | spl15_24 ),
    inference(avatar_split_clause,[],[f63,f220,f233,f128]) ).

thf(f128,plain,
    ( spl15_4
  <=> ( sF4 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

thf(f63,plain,
    ( ( sF4 = $false )
    | ( $true = sF5 )
    | ( ( f0 @ $true )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f58]) ).

thf(f58,plain,
    ( ( ( f0 @ $true )
      = sF5 )
    | ( sF4 = $false ) ),
    inference(cases_simplifying,[],[f11]) ).

thf(f332,plain,
    ( spl15_21
    | spl15_22
    | spl15_4 ),
    inference(avatar_split_clause,[],[f62,f128,f211,f207]) ).

thf(f62,plain,
    ( ( sF4 = $false )
    | ( sF5 = $false )
    | ( ( f0 @ $true )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f58]) ).

thf(f331,plain,
    ( spl15_14
    | spl15_11
    | spl15_46 ),
    inference(avatar_split_clause,[],[f67,f327,f159,f173]) ).

thf(f159,plain,
    ( spl15_11
  <=> ( sF0 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

thf(f327,plain,
    ( spl15_46
  <=> ( x = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).

thf(f67,plain,
    ( ( ( f3 @ $false )
      = $true )
    | ( x = $true )
    | ( sF0 = $false ) ),
    inference(binary_proxy_clausification,[],[f65]) ).

thf(f65,plain,
    ( ( x = $true )
    | ( sF0
      = ( f3 @ $false ) ) ),
    inference(cases_simplifying,[],[f6]) ).

thf(f6,plain,
    ( ( f3 @ x )
    = sF0 ),
    introduced(function_definition,[]) ).

thf(f330,plain,
    ( spl15_16
    | spl15_46
    | spl15_15 ),
    inference(avatar_split_clause,[],[f66,f177,f327,f182]) ).

thf(f177,plain,
    ( spl15_15
  <=> ( sF0 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

thf(f66,plain,
    ( ( x = $true )
    | ( sF0 = $true )
    | ( ( f3 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f65]) ).

thf(f325,plain,
    ( spl15_45
    | spl15_13
    | spl15_11 ),
    inference(avatar_split_clause,[],[f69,f159,f168,f321]) ).

thf(f321,plain,
    ( spl15_45
  <=> ( x = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).

thf(f69,plain,
    ( ( sF0 = $false )
    | ( x = $false )
    | ( ( f3 @ $true )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f64]) ).

thf(f64,plain,
    ( ( x = $false )
    | ( sF0
      = ( f3 @ $true ) ) ),
    inference(cases_simplifying,[],[f6]) ).

thf(f324,plain,
    ( spl15_15
    | spl15_45
    | spl15_9 ),
    inference(avatar_split_clause,[],[f68,f151,f321,f177]) ).

thf(f68,plain,
    ( ( sF0 = $true )
    | ( x = $false )
    | ( ( f3 @ $true )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f64]) ).

thf(f319,plain,
    ( spl15_44
    | spl15_38
    | spl15_43 ),
    inference(avatar_split_clause,[],[f73,f310,f284,f315]) ).

thf(f73,plain,
    ( ( $true = sF10 )
    | ( sF9 = $true )
    | ( ( f2 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f71]) ).

thf(f71,plain,
    ( ( sF9 = $true )
    | ( ( f2 @ $false )
      = sF10 ) ),
    inference(cases_simplifying,[],[f16]) ).

thf(f16,plain,
    ( ( f2 @ sF9 )
    = sF10 ),
    introduced(function_definition,[]) ).

thf(f318,plain,
    ( spl15_37
    | spl15_42
    | spl15_44 ),
    inference(avatar_split_clause,[],[f72,f315,f305,f279]) ).

thf(f72,plain,
    ( ( sF9 = $true )
    | ( $false = sF10 )
    | ( ( f2 @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f71]) ).

thf(f313,plain,
    ( spl15_36
    | spl15_41
    | spl15_43 ),
    inference(avatar_split_clause,[],[f75,f310,f301,f274]) ).

thf(f75,plain,
    ( ( sF9 = $false )
    | ( ( f2 @ $true )
      = $false )
    | ( $true = sF10 ) ),
    inference(binary_proxy_clausification,[],[f70]) ).

thf(f70,plain,
    ( ( sF9 = $false )
    | ( ( f2 @ $true )
      = sF10 ) ),
    inference(cases_simplifying,[],[f16]) ).

thf(f308,plain,
    ( spl15_41
    | spl15_42
    | spl15_33 ),
    inference(avatar_split_clause,[],[f74,f261,f305,f301]) ).

thf(f74,plain,
    ( ( sF9 = $false )
    | ( ( f2 @ $true )
      = $true )
    | ( $false = sF10 ) ),
    inference(binary_proxy_clausification,[],[f70]) ).

thf(f299,plain,
    ( spl15_40
    | spl15_6
    | spl15_38 ),
    inference(avatar_split_clause,[],[f79,f284,f137,f295]) ).

thf(f137,plain,
    ( spl15_6
  <=> ( $true = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

thf(f79,plain,
    ( ( sF2 = $true )
    | ( ( f2 @ $false )
      = $false )
    | ( $true = sF3 ) ),
    inference(binary_proxy_clausification,[],[f77]) ).

thf(f77,plain,
    ( ( ( f2 @ $false )
      = sF3 )
    | ( sF2 = $true ) ),
    inference(cases_simplifying,[],[f9]) ).

thf(f9,plain,
    ( ( f2 @ sF2 )
    = sF3 ),
    introduced(function_definition,[]) ).

thf(f298,plain,
    ( spl15_37
    | spl15_40
    | spl15_2 ),
    inference(avatar_split_clause,[],[f78,f119,f295,f279]) ).

thf(f119,plain,
    ( spl15_2
  <=> ( sF3 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

thf(f78,plain,
    ( ( sF2 = $true )
    | ( sF3 = $false )
    | ( ( f2 @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f77]) ).

thf(f293,plain,
    ( spl15_6
    | spl15_39
    | spl15_36 ),
    inference(avatar_split_clause,[],[f81,f274,f289,f137]) ).

thf(f81,plain,
    ( ( ( f2 @ $true )
      = $false )
    | ( $true = sF3 )
    | ( sF2 = $false ) ),
    inference(binary_proxy_clausification,[],[f76]) ).

thf(f76,plain,
    ( ( ( f2 @ $true )
      = sF3 )
    | ( sF2 = $false ) ),
    inference(cases_simplifying,[],[f9]) ).

thf(f292,plain,
    ( spl15_39
    | spl15_2
    | spl15_33 ),
    inference(avatar_split_clause,[],[f80,f261,f119,f289]) ).

thf(f80,plain,
    ( ( ( f2 @ $true )
      = $true )
    | ( sF2 = $false )
    | ( sF3 = $false ) ),
    inference(binary_proxy_clausification,[],[f76]) ).

thf(f287,plain,
    ( spl15_35
    | spl15_15
    | spl15_38 ),
    inference(avatar_split_clause,[],[f85,f284,f177,f270]) ).

thf(f85,plain,
    ( ( sF1 = $true )
    | ( ( f2 @ $false )
      = $false )
    | ( sF0 = $true ) ),
    inference(binary_proxy_clausification,[],[f83]) ).

thf(f83,plain,
    ( ( sF0 = $true )
    | ( ( f2 @ $false )
      = sF1 ) ),
    inference(cases_simplifying,[],[f7]) ).

thf(f7,plain,
    ( sF1
    = ( f2 @ sF0 ) ),
    introduced(function_definition,[]) ).

thf(f282,plain,
    ( spl15_15
    | spl15_37
    | spl15_34 ),
    inference(avatar_split_clause,[],[f84,f265,f279,f177]) ).

thf(f84,plain,
    ( ( sF1 = $false )
    | ( sF0 = $true )
    | ( ( f2 @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f83]) ).

thf(f277,plain,
    ( spl15_35
    | spl15_36
    | spl15_11 ),
    inference(avatar_split_clause,[],[f87,f159,f274,f270]) ).

thf(f87,plain,
    ( ( sF0 = $false )
    | ( sF1 = $true )
    | ( ( f2 @ $true )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f82]) ).

thf(f82,plain,
    ( ( ( f2 @ $true )
      = sF1 )
    | ( sF0 = $false ) ),
    inference(cases_simplifying,[],[f7]) ).

thf(f268,plain,
    ( spl15_33
    | spl15_11
    | spl15_34 ),
    inference(avatar_split_clause,[],[f86,f265,f159,f261]) ).

thf(f86,plain,
    ( ( sF0 = $false )
    | ( sF1 = $false )
    | ( ( f2 @ $true )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f82]) ).

thf(f259,plain,
    ( spl15_31
    | spl15_32 ),
    inference(avatar_split_clause,[],[f89,f256,f252]) ).

thf(f89,plain,
    ( ( sF7 = $false )
    | ( sF14 = $false ) ),
    inference(binary_proxy_clausification,[],[f21]) ).

thf(f21,plain,
    sF14 != sF7,
    inference(definition_folding,[],[f5,f20,f19,f18,f17,f16,f15,f14,f6,f13,f12,f11,f10,f9,f8,f7,f6]) ).

thf(f10,plain,
    ( sF4
    = ( f1 @ sF3 ) ),
    introduced(function_definition,[]) ).

thf(f12,plain,
    ( ( f0 @ sF5 )
    = sF6 ),
    introduced(function_definition,[]) ).

thf(f14,plain,
    ( sF8
    = ( f3 @ sF0 ) ),
    introduced(function_definition,[]) ).

thf(f19,plain,
    ( sF13
    = ( f1 @ sF12 ) ),
    introduced(function_definition,[]) ).

thf(f5,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ x ) ) ) ) ) ) ) )
   != ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ x ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f4,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ x ) ) ) ) ) ) ) )
   != ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ x ) ) ) ) ) ) ) ) ),
    inference(flattening,[],[f2]) ).

thf(f2,negated_conjecture,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ x ) ) ) ) ) ) ) )
   != ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ x ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ x ) ) ) ) ) ) ) )
    = ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ x ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski4) ).

thf(f250,plain,
    ( spl15_29
    | spl15_30 ),
    inference(avatar_split_clause,[],[f88,f247,f243]) ).

thf(f88,plain,
    ( ( sF7 = $true )
    | ( sF14 = $true ) ),
    inference(binary_proxy_clausification,[],[f21]) ).

thf(f241,plain,
    ( spl15_28
    | spl15_23
    | spl15_27 ),
    inference(avatar_split_clause,[],[f93,f233,f215,f238]) ).

thf(f93,plain,
    ( ( $true = sF5 )
    | ( sF6 = $false )
    | ( $true
      = ( f0 @ $false ) ) ),
    inference(binary_proxy_clausification,[],[f91]) ).

thf(f91,plain,
    ( ( $true = sF5 )
    | ( sF6
      = ( f0 @ $false ) ) ),
    inference(cases_simplifying,[],[f12]) ).

thf(f236,plain,
    ( spl15_26
    | spl15_27
    | spl15_25 ),
    inference(avatar_split_clause,[],[f92,f224,f233,f229]) ).

thf(f92,plain,
    ( ( $true = sF5 )
    | ( $true = sF6 )
    | ( $false
      = ( f0 @ $false ) ) ),
    inference(binary_proxy_clausification,[],[f91]) ).

thf(f227,plain,
    ( spl15_24
    | spl15_21
    | spl15_25 ),
    inference(avatar_split_clause,[],[f95,f224,f207,f220]) ).

thf(f95,plain,
    ( ( sF5 = $false )
    | ( ( f0 @ $true )
      = $false )
    | ( $true = sF6 ) ),
    inference(binary_proxy_clausification,[],[f90]) ).

thf(f90,plain,
    ( ( ( f0 @ $true )
      = sF6 )
    | ( sF5 = $false ) ),
    inference(cases_simplifying,[],[f12]) ).

thf(f218,plain,
    ( spl15_21
    | spl15_22
    | spl15_23 ),
    inference(avatar_split_clause,[],[f94,f215,f211,f207]) ).

thf(f94,plain,
    ( ( sF6 = $false )
    | ( sF5 = $false )
    | ( ( f0 @ $true )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f90]) ).

thf(f205,plain,
    ( spl15_20
    | spl15_17
    | spl15_8 ),
    inference(avatar_split_clause,[],[f99,f146,f187,f201]) ).

thf(f99,plain,
    ( ( $true = sF12 )
    | ( sF13 = $true )
    | ( ( f1 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f97,plain,
    ( ( $true = sF12 )
    | ( ( f1 @ $false )
      = sF13 ) ),
    inference(cases_simplifying,[],[f19]) ).

thf(f204,plain,
    ( spl15_7
    | spl15_20
    | spl15_19 ),
    inference(avatar_split_clause,[],[f98,f196,f201,f141]) ).

thf(f98,plain,
    ( ( ( f1 @ $false )
      = $true )
    | ( $true = sF12 )
    | ( sF13 = $false ) ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f199,plain,
    ( spl15_19
    | spl15_18
    | spl15_5 ),
    inference(avatar_split_clause,[],[f101,f132,f191,f196]) ).

thf(f101,plain,
    ( ( sF12 = $false )
    | ( sF13 = $false )
    | ( $true
      = ( f1 @ $true ) ) ),
    inference(binary_proxy_clausification,[],[f96]) ).

thf(f96,plain,
    ( ( sF13
      = ( f1 @ $true ) )
    | ( sF12 = $false ) ),
    inference(cases_simplifying,[],[f19]) ).

thf(f194,plain,
    ( spl15_17
    | spl15_18
    | spl15_3 ),
    inference(avatar_split_clause,[],[f100,f123,f191,f187]) ).

thf(f100,plain,
    ( ( sF12 = $false )
    | ( $false
      = ( f1 @ $true ) )
    | ( sF13 = $true ) ),
    inference(binary_proxy_clausification,[],[f96]) ).

thf(f185,plain,
    ( spl15_10
    | spl15_15
    | spl15_16 ),
    inference(avatar_split_clause,[],[f105,f182,f177,f155]) ).

thf(f105,plain,
    ( ( sF8 = $true )
    | ( sF0 = $true )
    | ( ( f3 @ $false )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f103]) ).

thf(f103,plain,
    ( ( sF0 = $true )
    | ( ( f3 @ $false )
      = sF8 ) ),
    inference(cases_simplifying,[],[f14]) ).

thf(f180,plain,
    ( spl15_14
    | spl15_15
    | spl15_12 ),
    inference(avatar_split_clause,[],[f104,f164,f177,f173]) ).

thf(f104,plain,
    ( ( sF8 = $false )
    | ( ( f3 @ $false )
      = $true )
    | ( sF0 = $true ) ),
    inference(binary_proxy_clausification,[],[f103]) ).

thf(f171,plain,
    ( spl15_12
    | spl15_13
    | spl15_11 ),
    inference(avatar_split_clause,[],[f107,f159,f168,f164]) ).

thf(f107,plain,
    ( ( sF8 = $false )
    | ( sF0 = $false )
    | ( ( f3 @ $true )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f102]) ).

thf(f102,plain,
    ( ( sF8
      = ( f3 @ $true ) )
    | ( sF0 = $false ) ),
    inference(cases_simplifying,[],[f14]) ).

thf(f162,plain,
    ( spl15_9
    | spl15_10
    | spl15_11 ),
    inference(avatar_split_clause,[],[f106,f159,f155,f151]) ).

thf(f106,plain,
    ( ( sF8 = $true )
    | ( sF0 = $false )
    | ( ( f3 @ $true )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f102]) ).

thf(f149,plain,
    ( spl15_1
    | spl15_6
    | spl15_8 ),
    inference(avatar_split_clause,[],[f111,f146,f137,f115]) ).

thf(f111,plain,
    ( ( ( f1 @ $false )
      = $false )
    | ( $true = sF3 )
    | ( sF4 = $true ) ),
    inference(binary_proxy_clausification,[],[f109]) ).

thf(f109,plain,
    ( ( $true = sF3 )
    | ( ( f1 @ $false )
      = sF4 ) ),
    inference(cases_simplifying,[],[f10]) ).

thf(f144,plain,
    ( spl15_6
    | spl15_4
    | spl15_7 ),
    inference(avatar_split_clause,[],[f110,f141,f128,f137]) ).

thf(f110,plain,
    ( ( $true = sF3 )
    | ( sF4 = $false )
    | ( ( f1 @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f109]) ).

thf(f135,plain,
    ( spl15_4
    | spl15_5
    | spl15_2 ),
    inference(avatar_split_clause,[],[f113,f119,f132,f128]) ).

thf(f113,plain,
    ( ( $true
      = ( f1 @ $true ) )
    | ( sF4 = $false )
    | ( sF3 = $false ) ),
    inference(binary_proxy_clausification,[],[f108]) ).

thf(f108,plain,
    ( ( sF3 = $false )
    | ( sF4
      = ( f1 @ $true ) ) ),
    inference(cases_simplifying,[],[f10]) ).

thf(f126,plain,
    ( spl15_1
    | spl15_2
    | spl15_3 ),
    inference(avatar_split_clause,[],[f112,f123,f119,f115]) ).

thf(f112,plain,
    ( ( $false
      = ( f1 @ $true ) )
    | ( sF4 = $true )
    | ( sF3 = $false ) ),
    inference(binary_proxy_clausification,[],[f108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYO500^1.004 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 10:03:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.37  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % (16608)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.40  % (16610)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.15/0.40  % (16611)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.40  % (16609)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.15/0.40  % (16612)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.40  % (16613)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.15/0.40  % (16614)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.40  % (16615)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.40  % (16611)Instruction limit reached!
% 0.15/0.40  % (16611)------------------------------
% 0.15/0.40  % (16611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (16612)Instruction limit reached!
% 0.15/0.40  % (16612)------------------------------
% 0.15/0.40  % (16612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (16612)Termination reason: Unknown
% 0.15/0.40  % (16612)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (16612)Memory used [KB]: 5500
% 0.15/0.40  % (16612)Time elapsed: 0.005 s
% 0.15/0.40  % (16612)Instructions burned: 2 (million)
% 0.15/0.40  % (16612)------------------------------
% 0.15/0.40  % (16612)------------------------------
% 0.15/0.40  % (16611)Termination reason: Unknown
% 0.15/0.40  % (16611)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (16615)Refutation not found, incomplete strategy
% 0.15/0.40  % (16615)------------------------------
% 0.15/0.40  % (16615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (16611)Memory used [KB]: 5500
% 0.15/0.40  % (16611)Time elapsed: 0.005 s
% 0.15/0.40  % (16611)Instructions burned: 2 (million)
% 0.15/0.40  % (16611)------------------------------
% 0.15/0.40  % (16611)------------------------------
% 0.15/0.40  % (16615)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (16615)Memory used [KB]: 5500
% 0.15/0.40  % (16615)Time elapsed: 0.005 s
% 0.15/0.40  % (16613)Refutation not found, incomplete strategy
% 0.15/0.40  % (16613)------------------------------
% 0.15/0.40  % (16613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (16615)Instructions burned: 1 (million)
% 0.15/0.40  % (16615)------------------------------
% 0.15/0.40  % (16615)------------------------------
% 0.15/0.40  % (16613)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (16613)Memory used [KB]: 5500
% 0.15/0.40  % (16613)Time elapsed: 0.005 s
% 0.15/0.40  % (16613)Instructions burned: 2 (million)
% 0.15/0.40  % (16610)Refutation not found, incomplete strategy
% 0.15/0.40  % (16610)------------------------------
% 0.15/0.40  % (16610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (16610)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (16610)Memory used [KB]: 5500
% 0.15/0.40  % (16610)Time elapsed: 0.005 s
% 0.15/0.40  % (16610)Instructions burned: 2 (million)
% 0.15/0.40  % (16610)------------------------------
% 0.15/0.40  % (16610)------------------------------
% 0.15/0.40  % (16613)------------------------------
% 0.15/0.40  % (16613)------------------------------
% 0.15/0.40  % (16609)Instruction limit reached!
% 0.15/0.40  % (16609)------------------------------
% 0.15/0.40  % (16609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (16609)Termination reason: Unknown
% 0.15/0.40  % (16609)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (16609)Memory used [KB]: 5500
% 0.15/0.40  % (16609)Time elapsed: 0.008 s
% 0.15/0.40  % (16609)Instructions burned: 5 (million)
% 0.15/0.40  % (16609)------------------------------
% 0.15/0.40  % (16609)------------------------------
% 0.23/0.41  % (16614)Instruction limit reached!
% 0.23/0.41  % (16614)------------------------------
% 0.23/0.41  % (16614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (16614)Termination reason: Unknown
% 0.23/0.41  % (16614)Termination phase: Saturation
% 0.23/0.41  
% 0.23/0.41  % (16614)Memory used [KB]: 5628
% 0.23/0.41  % (16614)Time elapsed: 0.022 s
% 0.23/0.41  % (16614)Instructions burned: 18 (million)
% 0.23/0.41  % (16614)------------------------------
% 0.23/0.41  % (16614)------------------------------
% 0.23/0.42  % (16621)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  % (16619)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)
% 0.23/0.42  % (16618)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)
% 0.23/0.42  % (16620)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  % (16616)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)
% 0.23/0.42  % (16621)First to succeed.
% 0.23/0.42  % (16618)Refutation not found, incomplete strategy
% 0.23/0.42  % (16618)------------------------------
% 0.23/0.42  % (16618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (16618)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.42  
% 0.23/0.42  
% 0.23/0.42  % (16618)Memory used [KB]: 5373
% 0.23/0.42  % (16618)Time elapsed: 0.003 s
% 0.23/0.42  % (16618)Instructions burned: 2 (million)
% 0.23/0.42  % (16618)------------------------------
% 0.23/0.42  % (16618)------------------------------
% 0.23/0.42  % (16619)Refutation not found, incomplete strategy
% 0.23/0.42  % (16619)------------------------------
% 0.23/0.42  % (16619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42  % (16619)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.42  
% 0.23/0.42  
% 0.23/0.42  % (16619)Memory used [KB]: 5500
% 0.23/0.42  % (16619)Time elapsed: 0.004 s
% 0.23/0.42  % (16619)Instructions burned: 4 (million)
% 0.23/0.42  % (16619)------------------------------
% 0.23/0.42  % (16619)------------------------------
% 0.23/0.43  % (16617)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)
% 0.23/0.43  % (16620)Instruction limit reached!
% 0.23/0.43  % (16620)------------------------------
% 0.23/0.43  % (16620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (16620)Termination reason: Unknown
% 0.23/0.43  % (16620)Termination phase: Saturation
% 0.23/0.43  
% 0.23/0.43  % (16620)Memory used [KB]: 1023
% 0.23/0.43  % (16620)Time elapsed: 0.006 s
% 0.23/0.43  % (16620)Instructions burned: 7 (million)
% 0.23/0.43  % (16620)------------------------------
% 0.23/0.43  % (16620)------------------------------
% 0.23/0.43  % (16621)Refutation found. Thanks to Tanya!
% 0.23/0.43  % SZS status Theorem for theBenchmark
% 0.23/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43  % (16621)------------------------------
% 0.23/0.43  % (16621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43  % (16621)Termination reason: Refutation
% 0.23/0.43  
% 0.23/0.43  % (16621)Memory used [KB]: 5628
% 0.23/0.43  % (16621)Time elapsed: 0.009 s
% 0.23/0.43  % (16621)Instructions burned: 6 (million)
% 0.23/0.43  % (16621)------------------------------
% 0.23/0.43  % (16621)------------------------------
% 0.23/0.43  % (16607)Success in time 0.051 s
% 0.23/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------