TSTP Solution File: SYO505^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO505^1 : 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 : n032.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 09:05:34 EDT 2024

% Result   : Theorem 0.14s 0.41s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  486 (  41 unt;  26 typ;   0 def)
%            Number of atoms       : 2525 ( 516 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives : 1565 ( 392   ~; 712   |;   0   &; 394   @)
%                                         (  67 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  45   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  111 ( 108 usr;  84 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   0   !;   0   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    a: $o > $o ).

thf(func_def_1,type,
    b: $o > $o ).

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

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

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

thf(func_def_5,type,
    f0: ( $o > $o ) > $i ).

thf(func_def_6,type,
    g0: ( $o > $o ) > $i ).

thf(func_def_7,type,
    f1: ( $o > $o ) > $i ).

thf(func_def_8,type,
    g1: ( $o > $o ) > $i ).

thf(func_def_9,type,
    f2: ( $o > $o ) > $i ).

thf(func_def_10,type,
    g2: ( $o > $o ) > $i ).

thf(func_def_11,type,
    f3: ( $o > $o ) > $i ).

thf(func_def_12,type,
    g3: ( $o > $o ) > $i ).

thf(func_def_13,type,
    f4: ( $o > $o ) > $i ).

thf(func_def_14,type,
    g4: ( $o > $o ) > $i ).

thf(func_def_15,type,
    f5: ( $o > $o ) > $i ).

thf(func_def_16,type,
    g5: ( $o > $o ) > $i ).

thf(func_def_17,type,
    f6: ( $o > $o ) > $i ).

thf(func_def_18,type,
    g6: ( $o > $o ) > $i ).

thf(func_def_19,type,
    f7: ( $o > $o ) > $i ).

thf(func_def_20,type,
    g7: ( $o > $o ) > $i ).

thf(func_def_21,type,
    f8: ( $o > $o ) > $i ).

thf(func_def_22,type,
    g8: ( $o > $o ) > $i ).

thf(func_def_23,type,
    f9: ( $o > $o ) > $i ).

thf(func_def_24,type,
    g9: ( $o > $o ) > $i ).

thf(func_def_29,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f642,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f69,f76,f86,f93,f101,f109,f123,f127,f134,f138,f146,f160,f175,f183,f194,f198,f199,f202,f205,f213,f227,f231,f238,f242,f250,f261,f262,f266,f267,f275,f286,f287,f291,f292,f300,f310,f321,f322,f326,f327,f329,f332,f351,f364,f368,f369,f371,f384,f388,f389,f391,f404,f408,f410,f421,f422,f426,f427,f432,f435,f442,f445,f448,f459,f464,f473,f475,f488,f492,f498,f501,f506,f511,f514,f516,f535,f538,f541,f544,f565,f572,f574,f591,f596,f599,f602,f605,f614,f617,f619,f638,f641]) ).

thf(f641,plain,
    ( ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_contradiction_clause,[],[f640]) ).

thf(f640,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(trivial_inequality_removal,[],[f639]) ).

thf(f639,plain,
    ( ( $true = $false )
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(forward_demodulation,[],[f425,f420]) ).

thf(f420,plain,
    ( ( sK14 = $false )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f419]) ).

thf(f419,plain,
    ( spl0_64
  <=> ( sK14 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

thf(f425,plain,
    ( ( $true = sK14 )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f424]) ).

thf(f424,plain,
    ( spl0_65
  <=> ( $true = sK14 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

thf(f638,plain,
    ( ~ spl0_62
    | ~ spl0_63 ),
    inference(avatar_contradiction_clause,[],[f637]) ).

thf(f637,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(trivial_inequality_removal,[],[f636]) ).

thf(f636,plain,
    ( ( $true = $false )
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(backward_demodulation,[],[f407,f403]) ).

thf(f403,plain,
    ( ( sK13 = $false )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f402]) ).

thf(f402,plain,
    ( spl0_62
  <=> ( sK13 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

thf(f407,plain,
    ( ( $true = sK13 )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f406]) ).

thf(f406,plain,
    ( spl0_63
  <=> ( $true = sK13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

thf(f619,plain,
    ( ~ spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f618,f273,f270]) ).

thf(f270,plain,
    ( spl0_47
  <=> ( c = d ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

thf(f273,plain,
    ( spl0_48
  <=> ( ( f7 @ c )
      = ( f7 @ d ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

thf(f618,plain,
    ( ( c != d )
    | spl0_48 ),
    inference(equality_resolution,[],[f274]) ).

thf(f274,plain,
    ( ( ( f7 @ c )
     != ( f7 @ d ) )
    | spl0_48 ),
    inference(avatar_component_clause,[],[f273]) ).

thf(f617,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f616]) ).

thf(f616,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(trivial_inequality_removal,[],[f615]) ).

thf(f615,plain,
    ( ( $true = $false )
    | ~ spl0_49
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f290,f285]) ).

thf(f285,plain,
    ( ( sK8 = $false )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f284]) ).

thf(f284,plain,
    ( spl0_49
  <=> ( sK8 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

thf(f290,plain,
    ( ( $true = sK8 )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f289]) ).

thf(f289,plain,
    ( spl0_50
  <=> ( $true = sK8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

thf(f614,plain,
    ( ~ spl0_25
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f613]) ).

thf(f613,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f612]) ).

thf(f612,plain,
    ( ( $true = $false )
    | ~ spl0_25
    | ~ spl0_28 ),
    inference(backward_demodulation,[],[f167,f156]) ).

thf(f156,plain,
    ( ( $false = sK4 )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f155]) ).

thf(f155,plain,
    ( spl0_25
  <=> ( $false = sK4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

thf(f167,plain,
    ( ( $true = sK4 )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f166]) ).

thf(f166,plain,
    ( spl0_28
  <=> ( $true = sK4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

thf(f605,plain,
    ( ~ spl0_38
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f604]) ).

thf(f604,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(trivial_inequality_removal,[],[f603]) ).

thf(f603,plain,
    ( ( $true = $false )
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f234,f226]) ).

thf(f226,plain,
    ( ( sK6 = $false )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f225]) ).

thf(f225,plain,
    ( spl0_38
  <=> ( sK6 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

thf(f234,plain,
    ( ( $true = sK6 )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f233]) ).

thf(f233,plain,
    ( spl0_40
  <=> ( $true = sK6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

thf(f602,plain,
    ( ~ spl0_27
    | spl0_35
    | ~ spl0_39
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f601]) ).

thf(f601,plain,
    ( $false
    | ~ spl0_27
    | spl0_35
    | ~ spl0_39
    | ~ spl0_72 ),
    inference(trivial_inequality_removal,[],[f600]) ).

thf(f600,plain,
    ( ( $true = $false )
    | ~ spl0_27
    | spl0_35
    | ~ spl0_39
    | ~ spl0_72 ),
    inference(forward_demodulation,[],[f590,f585]) ).

thf(f585,plain,
    ( ( sK18 = $false )
    | ~ spl0_27
    | spl0_35
    | ~ spl0_39 ),
    inference(trivial_inequality_removal,[],[f584]) ).

thf(f584,plain,
    ( ( sK18 = $false )
    | ( $true = $false )
    | ~ spl0_27
    | spl0_35
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f583,f163]) ).

thf(f163,plain,
    ( ( ( b @ $true )
      = $false )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f162]) ).

thf(f162,plain,
    ( spl0_27
  <=> ( ( b @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

thf(f583,plain,
    ( ( sK18 = $false )
    | ( $true
      = ( b @ $true ) )
    | spl0_35
    | ~ spl0_39 ),
    inference(trivial_inequality_removal,[],[f582]) ).

thf(f582,plain,
    ( ( $true
      = ( b @ $true ) )
    | ( $true = $false )
    | ( sK18 = $false )
    | spl0_35
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f580,f230]) ).

thf(f230,plain,
    ( ( ( c @ $true )
      = $false )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f229]) ).

thf(f229,plain,
    ( spl0_39
  <=> ( ( c @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

thf(f580,plain,
    ( ( sK18 = $false )
    | ( $true
      = ( b @ $true ) )
    | ( ( c @ $true )
      = $true )
    | spl0_35 ),
    inference(binary_proxy_clausification,[],[f576]) ).

thf(f576,plain,
    ( ( ( c @ $true )
     != ( b @ $true ) )
    | ( sK18 = $false )
    | spl0_35 ),
    inference(cases_simplifying,[],[f575]) ).

thf(f575,plain,
    ( ( ( c @ sK18 )
     != ( b @ sK18 ) )
    | spl0_35 ),
    inference(negative_extensionality,[],[f209]) ).

thf(f209,plain,
    ( ( b != c )
    | spl0_35 ),
    inference(avatar_component_clause,[],[f208]) ).

thf(f208,plain,
    ( spl0_35
  <=> ( b = c ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

thf(f590,plain,
    ( ( sK18 = $true )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f589]) ).

thf(f589,plain,
    ( spl0_72
  <=> ( sK18 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

thf(f599,plain,
    ( ~ spl0_58
    | ~ spl0_59 ),
    inference(avatar_contradiction_clause,[],[f598]) ).

thf(f598,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(trivial_inequality_removal,[],[f597]) ).

thf(f597,plain,
    ( ( $true = $false )
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(forward_demodulation,[],[f367,f363]) ).

thf(f363,plain,
    ( ( $false = sK11 )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f362]) ).

thf(f362,plain,
    ( spl0_58
  <=> ( $false = sK11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

thf(f367,plain,
    ( ( $true = sK11 )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f366]) ).

thf(f366,plain,
    ( spl0_59
  <=> ( $true = sK11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

thf(f596,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f595]) ).

thf(f595,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(trivial_inequality_removal,[],[f594]) ).

thf(f594,plain,
    ( ( $true = $false )
    | ~ spl0_41
    | ~ spl0_42 ),
    inference(backward_demodulation,[],[f237,f241]) ).

thf(f241,plain,
    ( ( ( c @ $false )
      = $false )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f240]) ).

thf(f240,plain,
    ( spl0_42
  <=> ( ( c @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

thf(f237,plain,
    ( ( $true
      = ( c @ $false ) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f236]) ).

thf(f236,plain,
    ( spl0_41
  <=> ( $true
      = ( c @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

thf(f591,plain,
    ( spl0_42
    | spl0_72
    | ~ spl0_29
    | spl0_35 ),
    inference(avatar_split_clause,[],[f587,f208,f169,f589,f240]) ).

thf(f169,plain,
    ( spl0_29
  <=> ( $true
      = ( b @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

thf(f587,plain,
    ( ( sK18 = $true )
    | ( ( c @ $false )
      = $false )
    | ~ spl0_29
    | spl0_35 ),
    inference(trivial_inequality_removal,[],[f586]) ).

thf(f586,plain,
    ( ( sK18 = $true )
    | ( ( c @ $false )
      = $false )
    | ( $true = $false )
    | ~ spl0_29
    | spl0_35 ),
    inference(forward_demodulation,[],[f579,f170]) ).

thf(f170,plain,
    ( ( $true
      = ( b @ $false ) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f169]) ).

thf(f579,plain,
    ( ( sK18 = $true )
    | ( ( b @ $false )
      = $false )
    | ( ( c @ $false )
      = $false )
    | spl0_35 ),
    inference(binary_proxy_clausification,[],[f577]) ).

thf(f577,plain,
    ( ( sK18 = $true )
    | ( ( b @ $false )
     != ( c @ $false ) )
    | spl0_35 ),
    inference(cases_simplifying,[],[f575]) ).

thf(f574,plain,
    ( ~ spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f573,f211,f208]) ).

thf(f211,plain,
    ( spl0_36
  <=> ( ( f4 @ b )
      = ( f4 @ c ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

thf(f573,plain,
    ( ( b != c )
    | spl0_36 ),
    inference(equality_resolution,[],[f212]) ).

thf(f212,plain,
    ( ( ( f4 @ b )
     != ( f4 @ c ) )
    | spl0_36 ),
    inference(avatar_component_clause,[],[f211]) ).

thf(f572,plain,
    ( ~ spl0_37
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f571]) ).

thf(f571,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(trivial_inequality_removal,[],[f570]) ).

thf(f570,plain,
    ( ( $true = $false )
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(backward_demodulation,[],[f223,f230]) ).

thf(f223,plain,
    ( ( ( c @ $true )
      = $true )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f222]) ).

thf(f222,plain,
    ( spl0_37
  <=> ( ( c @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

thf(f565,plain,
    ( ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f564]) ).

thf(f564,plain,
    ( $false
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(trivial_inequality_removal,[],[f563]) ).

thf(f563,plain,
    ( ( $true = $false )
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(backward_demodulation,[],[f491,f487]) ).

thf(f487,plain,
    ( ( sK15 = $false )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f486]) ).

thf(f486,plain,
    ( spl0_67
  <=> ( sK15 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

thf(f491,plain,
    ( ( $true = sK15 )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f490]) ).

thf(f490,plain,
    ( spl0_68
  <=> ( $true = sK15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

thf(f544,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_contradiction_clause,[],[f543]) ).

thf(f543,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f542]) ).

thf(f542,plain,
    ( ( $true = $false )
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(forward_demodulation,[],[f387,f383]) ).

thf(f383,plain,
    ( ( sK12 = $false )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f382]) ).

thf(f382,plain,
    ( spl0_60
  <=> ( sK12 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

thf(f387,plain,
    ( ( $true = sK12 )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f386]) ).

thf(f386,plain,
    ( spl0_61
  <=> ( $true = sK12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

thf(f541,plain,
    ( ~ spl0_18
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

thf(f540,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f539]) ).

thf(f539,plain,
    ( ( $true = $false )
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f130,f122]) ).

thf(f122,plain,
    ( ( sK3 = $false )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f121]) ).

thf(f121,plain,
    ( spl0_18
  <=> ( sK3 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

thf(f130,plain,
    ( ( $true = sK3 )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f129]) ).

thf(f129,plain,
    ( spl0_20
  <=> ( $true = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

thf(f538,plain,
    ( ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_contradiction_clause,[],[f537]) ).

thf(f537,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_56 ),
    inference(trivial_inequality_removal,[],[f536]) ).

thf(f536,plain,
    ( ( $true = $false )
    | ~ spl0_55
    | ~ spl0_56 ),
    inference(forward_demodulation,[],[f325,f320]) ).

thf(f320,plain,
    ( ( sK9 = $false )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f319]) ).

thf(f319,plain,
    ( spl0_55
  <=> ( sK9 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

thf(f325,plain,
    ( ( $true = sK9 )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f324]) ).

thf(f324,plain,
    ( spl0_56
  <=> ( $true = sK9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

thf(f535,plain,
    ( ~ spl0_53
    | spl0_54 ),
    inference(avatar_split_clause,[],[f534,f308,f305]) ).

thf(f305,plain,
    ( spl0_53
  <=> ( a = b ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

thf(f308,plain,
    ( spl0_54
  <=> ( ( f0 @ a )
      = ( f0 @ b ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

thf(f534,plain,
    ( ( a != b )
    | spl0_54 ),
    inference(equality_resolution,[],[f309]) ).

thf(f309,plain,
    ( ( ( f0 @ a )
     != ( f0 @ b ) )
    | spl0_54 ),
    inference(avatar_component_clause,[],[f308]) ).

thf(f516,plain,
    ( ~ spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f515,f181,f178]) ).

thf(f178,plain,
    ( spl0_31
  <=> ( b = e ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

thf(f181,plain,
    ( spl0_32
  <=> ( ( f6 @ b )
      = ( f6 @ e ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

thf(f515,plain,
    ( ( b != e )
    | spl0_32 ),
    inference(equality_resolution,[],[f182]) ).

thf(f182,plain,
    ( ( ( f6 @ b )
     != ( f6 @ e ) )
    | spl0_32 ),
    inference(avatar_component_clause,[],[f181]) ).

thf(f514,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f513]) ).

thf(f513,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f512]) ).

thf(f512,plain,
    ( ( $true = $false )
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f197,f193]) ).

thf(f193,plain,
    ( ( sK5 = $false )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f192]) ).

thf(f192,plain,
    ( spl0_33
  <=> ( sK5 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

thf(f197,plain,
    ( ( sK5 = $true )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f196]) ).

thf(f196,plain,
    ( spl0_34
  <=> ( sK5 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

thf(f511,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f510]) ).

thf(f510,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f509]) ).

thf(f509,plain,
    ( ( $true = $false )
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f170,f174]) ).

thf(f174,plain,
    ( ( ( b @ $false )
      = $false )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f173]) ).

thf(f173,plain,
    ( spl0_30
  <=> ( ( b @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

thf(f506,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f505]) ).

thf(f505,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(trivial_inequality_removal,[],[f504]) ).

thf(f504,plain,
    ( ( $true = $false )
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(backward_demodulation,[],[f159,f163]) ).

thf(f159,plain,
    ( ( $true
      = ( b @ $true ) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f158]) ).

thf(f158,plain,
    ( spl0_26
  <=> ( $true
      = ( b @ $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

thf(f501,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f500]) ).

thf(f500,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f499]) ).

thf(f499,plain,
    ( ( $true = $false )
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f265,f260]) ).

thf(f260,plain,
    ( ( sK7 = $false )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f259]) ).

thf(f259,plain,
    ( spl0_45
  <=> ( sK7 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

thf(f265,plain,
    ( ( $true = sK7 )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f264]) ).

thf(f264,plain,
    ( spl0_46
  <=> ( $true = sK7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

thf(f498,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f497]) ).

thf(f497,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(trivial_inequality_removal,[],[f496]) ).

thf(f496,plain,
    ( ( $true = $false )
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(backward_demodulation,[],[f133,f137]) ).

thf(f137,plain,
    ( ( ( a @ $false )
      = $false )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f136]) ).

thf(f136,plain,
    ( spl0_22
  <=> ( ( a @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

thf(f133,plain,
    ( ( $true
      = ( a @ $false ) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f132]) ).

thf(f132,plain,
    ( spl0_21
  <=> ( $true
      = ( a @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

thf(f492,plain,
    ( spl0_12
    | spl0_22
    | spl0_68
    | spl0_43 ),
    inference(avatar_split_clause,[],[f480,f245,f490,f136,f91]) ).

thf(f91,plain,
    ( spl0_12
  <=> ( ( d @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

thf(f245,plain,
    ( spl0_43
  <=> ( a = d ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

thf(f480,plain,
    ( ( $true = sK15 )
    | ( ( d @ $false )
      = $false )
    | ( ( a @ $false )
      = $false )
    | spl0_43 ),
    inference(binary_proxy_clausification,[],[f478]) ).

thf(f478,plain,
    ( ( ( d @ $false )
     != ( a @ $false ) )
    | ( $true = sK15 )
    | spl0_43 ),
    inference(cases_simplifying,[],[f476]) ).

thf(f476,plain,
    ( ( ( a @ sK15 )
     != ( d @ sK15 ) )
    | spl0_43 ),
    inference(negative_extensionality,[],[f246]) ).

thf(f246,plain,
    ( ( a != d )
    | spl0_43 ),
    inference(avatar_component_clause,[],[f245]) ).

thf(f488,plain,
    ( spl0_7
    | spl0_67
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f484,f245,f118,f486,f74]) ).

thf(f74,plain,
    ( spl0_7
  <=> ( ( d @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

thf(f118,plain,
    ( spl0_17
  <=> ( ( a @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

thf(f484,plain,
    ( ( ( d @ $true )
      = $false )
    | ( sK15 = $false )
    | ~ spl0_17
    | spl0_43 ),
    inference(trivial_inequality_removal,[],[f483]) ).

thf(f483,plain,
    ( ( sK15 = $false )
    | ( ( d @ $true )
      = $false )
    | ( $true = $false )
    | ~ spl0_17
    | spl0_43 ),
    inference(forward_demodulation,[],[f482,f119]) ).

thf(f119,plain,
    ( ( ( a @ $true )
      = $true )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f118]) ).

thf(f482,plain,
    ( ( ( a @ $true )
      = $false )
    | ( ( d @ $true )
      = $false )
    | ( sK15 = $false )
    | spl0_43 ),
    inference(binary_proxy_clausification,[],[f477]) ).

thf(f477,plain,
    ( ( sK15 = $false )
    | ( ( a @ $true )
     != ( d @ $true ) )
    | spl0_43 ),
    inference(cases_simplifying,[],[f476]) ).

thf(f475,plain,
    ( ~ spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f474,f248,f245]) ).

thf(f248,plain,
    ( spl0_44
  <=> ( ( f2 @ a )
      = ( f2 @ d ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

thf(f474,plain,
    ( ( a != d )
    | spl0_44 ),
    inference(equality_resolution,[],[f249]) ).

thf(f249,plain,
    ( ( ( f2 @ a )
     != ( f2 @ d ) )
    | spl0_44 ),
    inference(avatar_component_clause,[],[f248]) ).

thf(f473,plain,
    ( ~ spl0_17
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f472]) ).

thf(f472,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f471]) ).

thf(f471,plain,
    ( ( $true = $false )
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f119,f126]) ).

thf(f126,plain,
    ( ( ( a @ $true )
      = $false )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f125]) ).

thf(f125,plain,
    ( spl0_19
  <=> ( ( a @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

thf(f464,plain,
    ( spl0_27
    | spl0_62
    | spl0_7
    | spl0_23 ),
    inference(avatar_split_clause,[],[f398,f141,f74,f402,f162]) ).

thf(f141,plain,
    ( spl0_23
  <=> ( b = d ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

thf(f398,plain,
    ( ( ( b @ $true )
      = $false )
    | ( ( d @ $true )
      = $false )
    | ( sK13 = $false )
    | spl0_23 ),
    inference(binary_proxy_clausification,[],[f393]) ).

thf(f393,plain,
    ( ( sK13 = $false )
    | ( ( d @ $true )
     != ( b @ $true ) )
    | spl0_23 ),
    inference(cases_simplifying,[],[f392]) ).

thf(f392,plain,
    ( ( ( b @ sK13 )
     != ( d @ sK13 ) )
    | spl0_23 ),
    inference(negative_extensionality,[],[f142]) ).

thf(f142,plain,
    ( ( b != d )
    | spl0_23 ),
    inference(avatar_component_clause,[],[f141]) ).

thf(f459,plain,
    ( spl0_6
    | spl0_39
    | spl0_58
    | spl0_14 ),
    inference(avatar_split_clause,[],[f358,f99,f362,f229,f71]) ).

thf(f71,plain,
    ( spl0_6
  <=> ( ( e @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

thf(f99,plain,
    ( spl0_14
  <=> ( c = e ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

thf(f358,plain,
    ( ( ( e @ $true )
      = $false )
    | ( $false = sK11 )
    | ( ( c @ $true )
      = $false )
    | spl0_14 ),
    inference(binary_proxy_clausification,[],[f353]) ).

thf(f353,plain,
    ( ( $false = sK11 )
    | ( ( e @ $true )
     != ( c @ $true ) )
    | spl0_14 ),
    inference(cases_simplifying,[],[f352]) ).

thf(f352,plain,
    ( ( ( c @ sK11 )
     != ( e @ sK11 ) )
    | spl0_14 ),
    inference(negative_extensionality,[],[f100]) ).

thf(f100,plain,
    ( ( c != e )
    | spl0_14 ),
    inference(avatar_component_clause,[],[f99]) ).

thf(f448,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

thf(f447,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f446]) ).

thf(f446,plain,
    ( ( $true = $false )
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f82,f68]) ).

thf(f68,plain,
    ( ( sK2 = $false )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f67]) ).

thf(f67,plain,
    ( spl0_5
  <=> ( sK2 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f82,plain,
    ( ( $true = sK2 )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

thf(f81,plain,
    ( spl0_9
  <=> ( $true = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

thf(f445,plain,
    ( spl0_29
    | spl0_63
    | ~ spl0_12
    | spl0_23 ),
    inference(avatar_split_clause,[],[f444,f141,f91,f406,f169]) ).

thf(f444,plain,
    ( ( $true
      = ( b @ $false ) )
    | ( $true = sK13 )
    | ~ spl0_12
    | spl0_23 ),
    inference(trivial_inequality_removal,[],[f443]) ).

thf(f443,plain,
    ( ( $true = $false )
    | ( $true
      = ( b @ $false ) )
    | ( $true = sK13 )
    | ~ spl0_12
    | spl0_23 ),
    inference(forward_demodulation,[],[f395,f92]) ).

thf(f92,plain,
    ( ( ( d @ $false )
      = $false )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f91]) ).

thf(f395,plain,
    ( ( $true
      = ( b @ $false ) )
    | ( ( d @ $false )
      = $true )
    | ( $true = sK13 )
    | spl0_23 ),
    inference(binary_proxy_clausification,[],[f394]) ).

thf(f394,plain,
    ( ( ( d @ $false )
     != ( b @ $false ) )
    | ( $true = sK13 )
    | spl0_23 ),
    inference(cases_simplifying,[],[f392]) ).

thf(f442,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

thf(f441,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f440]) ).

thf(f440,plain,
    ( ( $true = $false )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f439,f89]) ).

thf(f89,plain,
    ( ( ( e @ $false )
      = $false )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

thf(f88,plain,
    ( spl0_11
  <=> ( ( e @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

thf(f439,plain,
    ( ( $true
      = ( e @ $false ) )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f438]) ).

thf(f438,plain,
    ( ( $true = $false )
    | ( $true
      = ( e @ $false ) )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f437,f343]) ).

thf(f343,plain,
    ( ( sK10 = $false )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f342]) ).

thf(f342,plain,
    ( ( sK10 = $false )
    | ( $true = $false )
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f341,f75]) ).

thf(f75,plain,
    ( ( ( d @ $true )
      = $false )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f74]) ).

thf(f341,plain,
    ( ( sK10 = $false )
    | ( $true
      = ( d @ $true ) )
    | spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f340]) ).

thf(f340,plain,
    ( ( $true
      = ( d @ $true ) )
    | ( $true = $false )
    | ( sK10 = $false )
    | spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f338,f72]) ).

thf(f72,plain,
    ( ( ( e @ $true )
      = $false )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f71]) ).

thf(f338,plain,
    ( ( ( e @ $true )
      = $true )
    | ( sK10 = $false )
    | ( $true
      = ( d @ $true ) )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f334]) ).

thf(f334,plain,
    ( ( sK10 = $false )
    | ( ( e @ $true )
     != ( d @ $true ) )
    | spl0_1 ),
    inference(cases_simplifying,[],[f333]) ).

thf(f333,plain,
    ( ( ( e @ sK10 )
     != ( d @ sK10 ) )
    | spl0_1 ),
    inference(negative_extensionality,[],[f48]) ).

thf(f48,plain,
    ( ( d != e )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f47]) ).

thf(f47,plain,
    ( spl0_1
  <=> ( d = e ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f437,plain,
    ( ( $true
      = ( e @ $false ) )
    | ( $true = sK10 )
    | spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f436]) ).

thf(f436,plain,
    ( ( $true = $false )
    | ( $true = sK10 )
    | ( $true
      = ( e @ $false ) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f336,f92]) ).

thf(f336,plain,
    ( ( ( d @ $false )
      = $true )
    | ( $true
      = ( e @ $false ) )
    | ( $true = sK10 )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f335]) ).

thf(f335,plain,
    ( ( $true = sK10 )
    | ( ( d @ $false )
     != ( e @ $false ) )
    | spl0_1 ),
    inference(cases_simplifying,[],[f333]) ).

thf(f435,plain,
    ( ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f434]) ).

thf(f434,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f433]) ).

thf(f433,plain,
    ( ( $true = $false )
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f79,f92]) ).

thf(f79,plain,
    ( ( ( d @ $false )
      = $true )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f78]) ).

thf(f78,plain,
    ( spl0_8
  <=> ( ( d @ $false )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

thf(f432,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f431]) ).

thf(f431,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f430]) ).

thf(f430,plain,
    ( ( $true = $false )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f85,f89]) ).

thf(f85,plain,
    ( ( $true
      = ( e @ $false ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

thf(f84,plain,
    ( spl0_10
  <=> ( $true
      = ( e @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

thf(f427,plain,
    ( spl0_22
    | spl0_42
    | spl0_65
    | spl0_52 ),
    inference(avatar_split_clause,[],[f415,f298,f424,f240,f136]) ).

thf(f298,plain,
    ( spl0_52
  <=> ( a = c ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

thf(f415,plain,
    ( ( $true = sK14 )
    | ( ( a @ $false )
      = $false )
    | ( ( c @ $false )
      = $false )
    | spl0_52 ),
    inference(binary_proxy_clausification,[],[f413]) ).

thf(f413,plain,
    ( ( ( a @ $false )
     != ( c @ $false ) )
    | ( $true = sK14 )
    | spl0_52 ),
    inference(cases_simplifying,[],[f411]) ).

thf(f411,plain,
    ( ( ( a @ sK14 )
     != ( c @ sK14 ) )
    | spl0_52 ),
    inference(negative_extensionality,[],[f299]) ).

thf(f299,plain,
    ( ( a != c )
    | spl0_52 ),
    inference(avatar_component_clause,[],[f298]) ).

thf(f426,plain,
    ( spl0_21
    | spl0_65
    | spl0_41
    | spl0_52 ),
    inference(avatar_split_clause,[],[f414,f298,f236,f424,f132]) ).

thf(f414,plain,
    ( ( $true = sK14 )
    | ( $true
      = ( c @ $false ) )
    | ( $true
      = ( a @ $false ) )
    | spl0_52 ),
    inference(binary_proxy_clausification,[],[f413]) ).

thf(f422,plain,
    ( spl0_39
    | spl0_64
    | spl0_19
    | spl0_52 ),
    inference(avatar_split_clause,[],[f417,f298,f125,f419,f229]) ).

thf(f417,plain,
    ( ( sK14 = $false )
    | ( ( a @ $true )
      = $false )
    | ( ( c @ $true )
      = $false )
    | spl0_52 ),
    inference(binary_proxy_clausification,[],[f412]) ).

thf(f412,plain,
    ( ( sK14 = $false )
    | ( ( c @ $true )
     != ( a @ $true ) )
    | spl0_52 ),
    inference(cases_simplifying,[],[f411]) ).

thf(f421,plain,
    ( spl0_17
    | spl0_37
    | spl0_64
    | spl0_52 ),
    inference(avatar_split_clause,[],[f416,f298,f419,f222,f118]) ).

thf(f416,plain,
    ( ( ( c @ $true )
      = $true )
    | ( ( a @ $true )
      = $true )
    | ( sK14 = $false )
    | spl0_52 ),
    inference(binary_proxy_clausification,[],[f412]) ).

thf(f410,plain,
    ( ~ spl0_52
    | spl0_51 ),
    inference(avatar_split_clause,[],[f409,f295,f298]) ).

thf(f295,plain,
    ( spl0_51
  <=> ( ( f1 @ a )
      = ( f1 @ c ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

thf(f409,plain,
    ( ( a != c )
    | spl0_51 ),
    inference(equality_resolution,[],[f296]) ).

thf(f296,plain,
    ( ( ( f1 @ a )
     != ( f1 @ c ) )
    | spl0_51 ),
    inference(avatar_component_clause,[],[f295]) ).

thf(f408,plain,
    ( spl0_30
    | spl0_63
    | spl0_12
    | spl0_23 ),
    inference(avatar_split_clause,[],[f396,f141,f91,f406,f173]) ).

thf(f396,plain,
    ( ( $true = sK13 )
    | ( ( d @ $false )
      = $false )
    | ( ( b @ $false )
      = $false )
    | spl0_23 ),
    inference(binary_proxy_clausification,[],[f394]) ).

thf(f404,plain,
    ( spl0_62
    | spl0_26
    | ~ spl0_7
    | spl0_23 ),
    inference(avatar_split_clause,[],[f400,f141,f74,f158,f402]) ).

thf(f400,plain,
    ( ( sK13 = $false )
    | ( $true
      = ( b @ $true ) )
    | ~ spl0_7
    | spl0_23 ),
    inference(trivial_inequality_removal,[],[f399]) ).

thf(f399,plain,
    ( ( $true = $false )
    | ( sK13 = $false )
    | ( $true
      = ( b @ $true ) )
    | ~ spl0_7
    | spl0_23 ),
    inference(forward_demodulation,[],[f397,f75]) ).

thf(f397,plain,
    ( ( $true
      = ( d @ $true ) )
    | ( sK13 = $false )
    | ( $true
      = ( b @ $true ) )
    | spl0_23 ),
    inference(binary_proxy_clausification,[],[f393]) ).

thf(f391,plain,
    ( ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f390,f144,f141]) ).

thf(f144,plain,
    ( spl0_24
  <=> ( ( f5 @ b )
      = ( f5 @ d ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

thf(f390,plain,
    ( ( b != d )
    | spl0_24 ),
    inference(equality_resolution,[],[f145]) ).

thf(f145,plain,
    ( ( ( f5 @ b )
     != ( f5 @ d ) )
    | spl0_24 ),
    inference(avatar_component_clause,[],[f144]) ).

thf(f389,plain,
    ( spl0_11
    | spl0_22
    | spl0_61
    | spl0_15 ),
    inference(avatar_split_clause,[],[f376,f104,f386,f136,f88]) ).

thf(f104,plain,
    ( spl0_15
  <=> ( a = e ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

thf(f376,plain,
    ( ( ( a @ $false )
      = $false )
    | ( $true = sK12 )
    | ( ( e @ $false )
      = $false )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f374]) ).

thf(f374,plain,
    ( ( ( a @ $false )
     != ( e @ $false ) )
    | ( $true = sK12 )
    | spl0_15 ),
    inference(cases_simplifying,[],[f372]) ).

thf(f372,plain,
    ( ( ( a @ sK12 )
     != ( e @ sK12 ) )
    | spl0_15 ),
    inference(negative_extensionality,[],[f105]) ).

thf(f105,plain,
    ( ( a != e )
    | spl0_15 ),
    inference(avatar_component_clause,[],[f104]) ).

thf(f388,plain,
    ( spl0_10
    | spl0_61
    | spl0_21
    | spl0_15 ),
    inference(avatar_split_clause,[],[f375,f104,f132,f386,f84]) ).

thf(f375,plain,
    ( ( $true
      = ( a @ $false ) )
    | ( $true
      = ( e @ $false ) )
    | ( $true = sK12 )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f374]) ).

thf(f384,plain,
    ( spl0_60
    | spl0_17
    | ~ spl0_6
    | spl0_15 ),
    inference(avatar_split_clause,[],[f380,f104,f71,f118,f382]) ).

thf(f380,plain,
    ( ( sK12 = $false )
    | ( ( a @ $true )
      = $true )
    | ~ spl0_6
    | spl0_15 ),
    inference(trivial_inequality_removal,[],[f379]) ).

thf(f379,plain,
    ( ( ( a @ $true )
      = $true )
    | ( sK12 = $false )
    | ( $true = $false )
    | ~ spl0_6
    | spl0_15 ),
    inference(forward_demodulation,[],[f377,f72]) ).

thf(f377,plain,
    ( ( ( e @ $true )
      = $true )
    | ( sK12 = $false )
    | ( ( a @ $true )
      = $true )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f373]) ).

thf(f373,plain,
    ( ( ( e @ $true )
     != ( a @ $true ) )
    | ( sK12 = $false )
    | spl0_15 ),
    inference(cases_simplifying,[],[f372]) ).

thf(f371,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f370,f107,f104]) ).

thf(f107,plain,
    ( spl0_16
  <=> ( ( f3 @ a )
      = ( f3 @ e ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

thf(f370,plain,
    ( ( a != e )
    | spl0_16 ),
    inference(equality_resolution,[],[f108]) ).

thf(f108,plain,
    ( ( ( f3 @ a )
     != ( f3 @ e ) )
    | spl0_16 ),
    inference(avatar_component_clause,[],[f107]) ).

thf(f369,plain,
    ( spl0_11
    | spl0_42
    | spl0_59
    | spl0_14 ),
    inference(avatar_split_clause,[],[f356,f99,f366,f240,f88]) ).

thf(f356,plain,
    ( ( ( e @ $false )
      = $false )
    | ( ( c @ $false )
      = $false )
    | ( $true = sK11 )
    | spl0_14 ),
    inference(binary_proxy_clausification,[],[f354]) ).

thf(f354,plain,
    ( ( ( c @ $false )
     != ( e @ $false ) )
    | ( $true = sK11 )
    | spl0_14 ),
    inference(cases_simplifying,[],[f352]) ).

thf(f368,plain,
    ( spl0_59
    | spl0_10
    | spl0_41
    | spl0_14 ),
    inference(avatar_split_clause,[],[f355,f99,f236,f84,f366]) ).

thf(f355,plain,
    ( ( $true
      = ( c @ $false ) )
    | ( $true
      = ( e @ $false ) )
    | ( $true = sK11 )
    | spl0_14 ),
    inference(binary_proxy_clausification,[],[f354]) ).

thf(f364,plain,
    ( spl0_37
    | spl0_58
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_split_clause,[],[f360,f99,f71,f362,f222]) ).

thf(f360,plain,
    ( ( $false = sK11 )
    | ( ( c @ $true )
      = $true )
    | ~ spl0_6
    | spl0_14 ),
    inference(trivial_inequality_removal,[],[f359]) ).

thf(f359,plain,
    ( ( ( c @ $true )
      = $true )
    | ( $true = $false )
    | ( $false = sK11 )
    | ~ spl0_6
    | spl0_14 ),
    inference(forward_demodulation,[],[f357,f72]) ).

thf(f357,plain,
    ( ( ( e @ $true )
      = $true )
    | ( ( c @ $true )
      = $true )
    | ( $false = sK11 )
    | spl0_14 ),
    inference(binary_proxy_clausification,[],[f353]) ).

thf(f351,plain,
    ( ~ spl0_14
    | spl0_13 ),
    inference(avatar_split_clause,[],[f350,f96,f99]) ).

thf(f96,plain,
    ( spl0_13
  <=> ( ( f8 @ c )
      = ( f8 @ e ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

thf(f350,plain,
    ( ( c != e )
    | spl0_13 ),
    inference(equality_resolution,[],[f97]) ).

thf(f97,plain,
    ( ( ( f8 @ c )
     != ( f8 @ e ) )
    | spl0_13 ),
    inference(avatar_component_clause,[],[f96]) ).

thf(f332,plain,
    ( ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

thf(f331,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f330]) ).

thf(f330,plain,
    ( ( $true = $false )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f65,f75]) ).

thf(f65,plain,
    ( ( $true
      = ( d @ $true ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f64]) ).

thf(f64,plain,
    ( spl0_4
  <=> ( $true
      = ( d @ $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f329,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f328,f50,f47]) ).

thf(f50,plain,
    ( spl0_2
  <=> ( ( f9 @ d )
      = ( f9 @ e ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f328,plain,
    ( ( d != e )
    | spl0_2 ),
    inference(equality_resolution,[],[f51]) ).

thf(f51,plain,
    ( ( ( f9 @ d )
     != ( f9 @ e ) )
    | spl0_2 ),
    inference(avatar_component_clause,[],[f50]) ).

thf(f327,plain,
    ( spl0_56
    | spl0_30
    | spl0_22
    | spl0_53 ),
    inference(avatar_split_clause,[],[f315,f305,f136,f173,f324]) ).

thf(f315,plain,
    ( ( ( a @ $false )
      = $false )
    | ( ( b @ $false )
      = $false )
    | ( $true = sK9 )
    | spl0_53 ),
    inference(binary_proxy_clausification,[],[f313]) ).

thf(f313,plain,
    ( ( $true = sK9 )
    | ( ( b @ $false )
     != ( a @ $false ) )
    | spl0_53 ),
    inference(cases_simplifying,[],[f311]) ).

thf(f311,plain,
    ( ( ( b @ sK9 )
     != ( a @ sK9 ) )
    | spl0_53 ),
    inference(negative_extensionality,[],[f306]) ).

thf(f306,plain,
    ( ( a != b )
    | spl0_53 ),
    inference(avatar_component_clause,[],[f305]) ).

thf(f326,plain,
    ( spl0_29
    | spl0_56
    | spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f314,f305,f132,f324,f169]) ).

thf(f314,plain,
    ( ( $true
      = ( b @ $false ) )
    | ( $true = sK9 )
    | ( $true
      = ( a @ $false ) )
    | spl0_53 ),
    inference(binary_proxy_clausification,[],[f313]) ).

thf(f322,plain,
    ( spl0_55
    | spl0_27
    | spl0_19
    | spl0_53 ),
    inference(avatar_split_clause,[],[f317,f305,f125,f162,f319]) ).

thf(f317,plain,
    ( ( sK9 = $false )
    | ( ( b @ $true )
      = $false )
    | ( ( a @ $true )
      = $false )
    | spl0_53 ),
    inference(binary_proxy_clausification,[],[f312]) ).

thf(f312,plain,
    ( ( ( a @ $true )
     != ( b @ $true ) )
    | ( sK9 = $false )
    | spl0_53 ),
    inference(cases_simplifying,[],[f311]) ).

thf(f321,plain,
    ( spl0_26
    | spl0_55
    | spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f316,f305,f118,f319,f158]) ).

thf(f316,plain,
    ( ( sK9 = $false )
    | ( $true
      = ( b @ $true ) )
    | ( ( a @ $true )
      = $true )
    | spl0_53 ),
    inference(binary_proxy_clausification,[],[f312]) ).

thf(f310,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f303,f308,f305]) ).

thf(f303,plain,
    ( ( ( f0 @ a )
     != ( f0 @ b ) )
    | ( a != b ) ),
    inference(constrained_superposition,[],[f44,f38]) ).

thf(f38,plain,
    ( ( f0 @ a )
    = ( g0 @ b ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    ( ( f0 @ a )
    = ( g0 @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anotb1) ).

thf(f44,plain,
    ( ( f0 @ b )
   != ( g0 @ a ) ),
    inference(cnf_transformation,[],[f2]) ).

thf(f2,axiom,
    ( ( f0 @ b )
   != ( g0 @ a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anotb2) ).

thf(f300,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f293,f298,f295]) ).

thf(f293,plain,
    ( ( ( f1 @ a )
     != ( f1 @ c ) )
    | ( a != c ) ),
    inference(constrained_superposition,[],[f43,f42]) ).

thf(f42,plain,
    ( ( f1 @ a )
    = ( g1 @ c ) ),
    inference(cnf_transformation,[],[f3]) ).

thf(f3,axiom,
    ( ( f1 @ a )
    = ( g1 @ c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anotc1) ).

thf(f43,plain,
    ( ( f1 @ c )
   != ( g1 @ a ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f4,axiom,
    ( ( f1 @ c )
   != ( g1 @ a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anotc2) ).

thf(f292,plain,
    ( spl0_50
    | spl0_12
    | spl0_42
    | spl0_47 ),
    inference(avatar_split_clause,[],[f280,f270,f240,f91,f289]) ).

thf(f280,plain,
    ( ( ( c @ $false )
      = $false )
    | ( ( d @ $false )
      = $false )
    | ( $true = sK8 )
    | spl0_47 ),
    inference(binary_proxy_clausification,[],[f278]) ).

thf(f278,plain,
    ( ( $true = sK8 )
    | ( ( d @ $false )
     != ( c @ $false ) )
    | spl0_47 ),
    inference(cases_simplifying,[],[f276]) ).

thf(f276,plain,
    ( ( ( c @ sK8 )
     != ( d @ sK8 ) )
    | spl0_47 ),
    inference(negative_extensionality,[],[f271]) ).

thf(f271,plain,
    ( ( c != d )
    | spl0_47 ),
    inference(avatar_component_clause,[],[f270]) ).

thf(f291,plain,
    ( spl0_50
    | spl0_41
    | spl0_8
    | spl0_47 ),
    inference(avatar_split_clause,[],[f279,f270,f78,f236,f289]) ).

thf(f279,plain,
    ( ( ( d @ $false )
      = $true )
    | ( $true
      = ( c @ $false ) )
    | ( $true = sK8 )
    | spl0_47 ),
    inference(binary_proxy_clausification,[],[f278]) ).

thf(f287,plain,
    ( spl0_49
    | spl0_7
    | spl0_39
    | spl0_47 ),
    inference(avatar_split_clause,[],[f282,f270,f229,f74,f284]) ).

thf(f282,plain,
    ( ( ( d @ $true )
      = $false )
    | ( ( c @ $true )
      = $false )
    | ( sK8 = $false )
    | spl0_47 ),
    inference(binary_proxy_clausification,[],[f277]) ).

thf(f277,plain,
    ( ( sK8 = $false )
    | ( ( c @ $true )
     != ( d @ $true ) )
    | spl0_47 ),
    inference(cases_simplifying,[],[f276]) ).

thf(f286,plain,
    ( spl0_37
    | spl0_49
    | spl0_4
    | spl0_47 ),
    inference(avatar_split_clause,[],[f281,f270,f64,f284,f222]) ).

thf(f281,plain,
    ( ( $true
      = ( d @ $true ) )
    | ( ( c @ $true )
      = $true )
    | ( sK8 = $false )
    | spl0_47 ),
    inference(binary_proxy_clausification,[],[f277]) ).

thf(f275,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f268,f273,f270]) ).

thf(f268,plain,
    ( ( c != d )
    | ( ( f7 @ c )
     != ( f7 @ d ) ) ),
    inference(constrained_superposition,[],[f29,f41]) ).

thf(f41,plain,
    ( ( f7 @ c )
    = ( g7 @ d ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f15,axiom,
    ( ( f7 @ c )
    = ( g7 @ d ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnotd1) ).

thf(f29,plain,
    ( ( f7 @ d )
   != ( g7 @ c ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f16,axiom,
    ( ( f7 @ d )
   != ( g7 @ c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnotd2) ).

thf(f267,plain,
    ( spl0_46
    | spl0_12
    | spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f255,f245,f136,f91,f264]) ).

thf(f255,plain,
    ( ( $true = sK7 )
    | ( ( a @ $false )
      = $false )
    | ( ( d @ $false )
      = $false )
    | spl0_43 ),
    inference(binary_proxy_clausification,[],[f253]) ).

thf(f253,plain,
    ( ( $true = sK7 )
    | ( ( d @ $false )
     != ( a @ $false ) )
    | spl0_43 ),
    inference(cases_simplifying,[],[f251]) ).

thf(f251,plain,
    ( ( ( a @ sK7 )
     != ( d @ sK7 ) )
    | spl0_43 ),
    inference(negative_extensionality,[],[f246]) ).

thf(f266,plain,
    ( spl0_46
    | spl0_21
    | spl0_8
    | spl0_43 ),
    inference(avatar_split_clause,[],[f254,f245,f78,f132,f264]) ).

thf(f254,plain,
    ( ( $true = sK7 )
    | ( $true
      = ( a @ $false ) )
    | ( ( d @ $false )
      = $true )
    | spl0_43 ),
    inference(binary_proxy_clausification,[],[f253]) ).

thf(f262,plain,
    ( spl0_19
    | spl0_45
    | spl0_7
    | spl0_43 ),
    inference(avatar_split_clause,[],[f257,f245,f74,f259,f125]) ).

thf(f257,plain,
    ( ( sK7 = $false )
    | ( ( d @ $true )
      = $false )
    | ( ( a @ $true )
      = $false )
    | spl0_43 ),
    inference(binary_proxy_clausification,[],[f252]) ).

thf(f252,plain,
    ( ( ( a @ $true )
     != ( d @ $true ) )
    | ( sK7 = $false )
    | spl0_43 ),
    inference(cases_simplifying,[],[f251]) ).

thf(f261,plain,
    ( spl0_45
    | spl0_4
    | spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f256,f245,f118,f64,f259]) ).

thf(f256,plain,
    ( ( $true
      = ( d @ $true ) )
    | ( sK7 = $false )
    | ( ( a @ $true )
      = $true )
    | spl0_43 ),
    inference(binary_proxy_clausification,[],[f252]) ).

thf(f250,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f243,f248,f245]) ).

thf(f243,plain,
    ( ( ( f2 @ a )
     != ( f2 @ d ) )
    | ( a != d ) ),
    inference(constrained_superposition,[],[f36,f40]) ).

thf(f40,plain,
    ( ( f2 @ a )
    = ( g2 @ d ) ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,axiom,
    ( ( f2 @ a )
    = ( g2 @ d ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anotd1) ).

thf(f36,plain,
    ( ( f2 @ d )
   != ( g2 @ a ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,axiom,
    ( ( f2 @ d )
   != ( g2 @ a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anotd2) ).

thf(f242,plain,
    ( spl0_42
    | spl0_40
    | spl0_30
    | spl0_35 ),
    inference(avatar_split_clause,[],[f218,f208,f173,f233,f240]) ).

thf(f218,plain,
    ( ( ( c @ $false )
      = $false )
    | ( $true = sK6 )
    | ( ( b @ $false )
      = $false )
    | spl0_35 ),
    inference(binary_proxy_clausification,[],[f216]) ).

thf(f216,plain,
    ( ( $true = sK6 )
    | ( ( b @ $false )
     != ( c @ $false ) )
    | spl0_35 ),
    inference(cases_simplifying,[],[f214]) ).

thf(f214,plain,
    ( ( ( b @ sK6 )
     != ( c @ sK6 ) )
    | spl0_35 ),
    inference(negative_extensionality,[],[f209]) ).

thf(f238,plain,
    ( spl0_40
    | spl0_29
    | spl0_41
    | spl0_35 ),
    inference(avatar_split_clause,[],[f217,f208,f236,f169,f233]) ).

thf(f217,plain,
    ( ( $true
      = ( c @ $false ) )
    | ( $true
      = ( b @ $false ) )
    | ( $true = sK6 )
    | spl0_35 ),
    inference(binary_proxy_clausification,[],[f216]) ).

thf(f231,plain,
    ( spl0_38
    | spl0_27
    | spl0_39
    | spl0_35 ),
    inference(avatar_split_clause,[],[f220,f208,f229,f162,f225]) ).

thf(f220,plain,
    ( ( ( b @ $true )
      = $false )
    | ( ( c @ $true )
      = $false )
    | ( sK6 = $false )
    | spl0_35 ),
    inference(binary_proxy_clausification,[],[f215]) ).

thf(f215,plain,
    ( ( sK6 = $false )
    | ( ( c @ $true )
     != ( b @ $true ) )
    | spl0_35 ),
    inference(cases_simplifying,[],[f214]) ).

thf(f227,plain,
    ( spl0_37
    | spl0_38
    | spl0_26
    | spl0_35 ),
    inference(avatar_split_clause,[],[f219,f208,f158,f225,f222]) ).

thf(f219,plain,
    ( ( ( c @ $true )
      = $true )
    | ( $true
      = ( b @ $true ) )
    | ( sK6 = $false )
    | spl0_35 ),
    inference(binary_proxy_clausification,[],[f215]) ).

thf(f213,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f206,f211,f208]) ).

thf(f206,plain,
    ( ( b != c )
    | ( ( f4 @ b )
     != ( f4 @ c ) ) ),
    inference(constrained_superposition,[],[f39,f33]) ).

thf(f33,plain,
    ( ( f4 @ b )
    = ( g4 @ c ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,axiom,
    ( ( f4 @ b )
    = ( g4 @ c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bnotc1) ).

thf(f39,plain,
    ( ( f4 @ c )
   != ( g4 @ b ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,axiom,
    ( ( f4 @ c )
   != ( g4 @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bnotc2) ).

thf(f205,plain,
    ( spl0_26
    | spl0_33
    | ~ spl0_6
    | spl0_31 ),
    inference(avatar_split_clause,[],[f204,f178,f71,f192,f158]) ).

thf(f204,plain,
    ( ( $true
      = ( b @ $true ) )
    | ( sK5 = $false )
    | ~ spl0_6
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f203]) ).

thf(f203,plain,
    ( ( $true
      = ( b @ $true ) )
    | ( $true = $false )
    | ( sK5 = $false )
    | ~ spl0_6
    | spl0_31 ),
    inference(forward_demodulation,[],[f189,f72]) ).

thf(f189,plain,
    ( ( ( e @ $true )
      = $true )
    | ( $true
      = ( b @ $true ) )
    | ( sK5 = $false )
    | spl0_31 ),
    inference(binary_proxy_clausification,[],[f185]) ).

thf(f185,plain,
    ( ( sK5 = $false )
    | ( ( e @ $true )
     != ( b @ $true ) )
    | spl0_31 ),
    inference(cases_simplifying,[],[f184]) ).

thf(f184,plain,
    ( ( ( e @ sK5 )
     != ( b @ sK5 ) )
    | spl0_31 ),
    inference(negative_extensionality,[],[f179]) ).

thf(f179,plain,
    ( ( b != e )
    | spl0_31 ),
    inference(avatar_component_clause,[],[f178]) ).

thf(f202,plain,
    ( ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f201]) ).

thf(f201,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f200]) ).

thf(f200,plain,
    ( ( $true = $false )
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f62,f72]) ).

thf(f62,plain,
    ( ( ( e @ $true )
      = $true )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f61]) ).

thf(f61,plain,
    ( spl0_3
  <=> ( ( e @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f199,plain,
    ( spl0_34
    | spl0_30
    | spl0_11
    | spl0_31 ),
    inference(avatar_split_clause,[],[f188,f178,f88,f173,f196]) ).

thf(f188,plain,
    ( ( sK5 = $true )
    | ( ( e @ $false )
      = $false )
    | ( ( b @ $false )
      = $false )
    | spl0_31 ),
    inference(binary_proxy_clausification,[],[f186]) ).

thf(f186,plain,
    ( ( ( b @ $false )
     != ( e @ $false ) )
    | ( sK5 = $true )
    | spl0_31 ),
    inference(cases_simplifying,[],[f184]) ).

thf(f198,plain,
    ( spl0_10
    | spl0_34
    | spl0_29
    | spl0_31 ),
    inference(avatar_split_clause,[],[f187,f178,f169,f196,f84]) ).

thf(f187,plain,
    ( ( sK5 = $true )
    | ( $true
      = ( e @ $false ) )
    | ( $true
      = ( b @ $false ) )
    | spl0_31 ),
    inference(binary_proxy_clausification,[],[f186]) ).

thf(f194,plain,
    ( spl0_33
    | spl0_27
    | spl0_6
    | spl0_31 ),
    inference(avatar_split_clause,[],[f190,f178,f71,f162,f192]) ).

thf(f190,plain,
    ( ( ( e @ $true )
      = $false )
    | ( ( b @ $true )
      = $false )
    | ( sK5 = $false )
    | spl0_31 ),
    inference(binary_proxy_clausification,[],[f185]) ).

thf(f183,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f176,f181,f178]) ).

thf(f176,plain,
    ( ( b != e )
    | ( ( f6 @ b )
     != ( f6 @ e ) ) ),
    inference(constrained_superposition,[],[f27,f37]) ).

thf(f37,plain,
    ( ( f6 @ b )
    = ( g6 @ e ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,axiom,
    ( ( f6 @ b )
    = ( g6 @ e ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bnote1) ).

thf(f27,plain,
    ( ( f6 @ e )
   != ( g6 @ b ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,axiom,
    ( ( f6 @ e )
   != ( g6 @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bnote2) ).

thf(f175,plain,
    ( spl0_12
    | spl0_28
    | spl0_30
    | spl0_23 ),
    inference(avatar_split_clause,[],[f151,f141,f173,f166,f91]) ).

thf(f151,plain,
    ( ( ( b @ $false )
      = $false )
    | ( ( d @ $false )
      = $false )
    | ( $true = sK4 )
    | spl0_23 ),
    inference(binary_proxy_clausification,[],[f149]) ).

thf(f149,plain,
    ( ( ( d @ $false )
     != ( b @ $false ) )
    | ( $true = sK4 )
    | spl0_23 ),
    inference(cases_simplifying,[],[f147]) ).

thf(f147,plain,
    ( ( ( b @ sK4 )
     != ( d @ sK4 ) )
    | spl0_23 ),
    inference(negative_extensionality,[],[f142]) ).

thf(f160,plain,
    ( spl0_25
    | spl0_26
    | spl0_4
    | spl0_23 ),
    inference(avatar_split_clause,[],[f152,f141,f64,f158,f155]) ).

thf(f152,plain,
    ( ( $true
      = ( d @ $true ) )
    | ( $true
      = ( b @ $true ) )
    | ( $false = sK4 )
    | spl0_23 ),
    inference(binary_proxy_clausification,[],[f148]) ).

thf(f148,plain,
    ( ( ( d @ $true )
     != ( b @ $true ) )
    | ( $false = sK4 )
    | spl0_23 ),
    inference(cases_simplifying,[],[f147]) ).

thf(f146,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f139,f144,f141]) ).

thf(f139,plain,
    ( ( b != d )
    | ( ( f5 @ b )
     != ( f5 @ d ) ) ),
    inference(constrained_superposition,[],[f25,f35]) ).

thf(f35,plain,
    ( ( f5 @ b )
    = ( g5 @ d ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,axiom,
    ( ( f5 @ b )
    = ( g5 @ d ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bnotd1) ).

thf(f25,plain,
    ( ( f5 @ d )
   != ( g5 @ b ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,axiom,
    ( ( f5 @ d )
   != ( g5 @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bnotd2) ).

thf(f138,plain,
    ( spl0_11
    | spl0_20
    | spl0_22
    | spl0_15 ),
    inference(avatar_split_clause,[],[f114,f104,f136,f129,f88]) ).

thf(f114,plain,
    ( ( $true = sK3 )
    | ( ( a @ $false )
      = $false )
    | ( ( e @ $false )
      = $false )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f112]) ).

thf(f112,plain,
    ( ( ( a @ $false )
     != ( e @ $false ) )
    | ( $true = sK3 )
    | spl0_15 ),
    inference(cases_simplifying,[],[f110]) ).

thf(f110,plain,
    ( ( ( a @ sK3 )
     != ( e @ sK3 ) )
    | spl0_15 ),
    inference(negative_extensionality,[],[f105]) ).

thf(f134,plain,
    ( spl0_20
    | spl0_10
    | spl0_21
    | spl0_15 ),
    inference(avatar_split_clause,[],[f113,f104,f132,f84,f129]) ).

thf(f113,plain,
    ( ( $true = sK3 )
    | ( $true
      = ( a @ $false ) )
    | ( $true
      = ( e @ $false ) )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f112]) ).

thf(f127,plain,
    ( spl0_19
    | spl0_18
    | spl0_6
    | spl0_15 ),
    inference(avatar_split_clause,[],[f116,f104,f71,f121,f125]) ).

thf(f116,plain,
    ( ( ( a @ $true )
      = $false )
    | ( sK3 = $false )
    | ( ( e @ $true )
      = $false )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f111]) ).

thf(f111,plain,
    ( ( sK3 = $false )
    | ( ( e @ $true )
     != ( a @ $true ) )
    | spl0_15 ),
    inference(cases_simplifying,[],[f110]) ).

thf(f123,plain,
    ( spl0_17
    | spl0_3
    | spl0_18
    | spl0_15 ),
    inference(avatar_split_clause,[],[f115,f104,f121,f61,f118]) ).

thf(f115,plain,
    ( ( sK3 = $false )
    | ( ( a @ $true )
      = $true )
    | ( ( e @ $true )
      = $true )
    | spl0_15 ),
    inference(binary_proxy_clausification,[],[f111]) ).

thf(f109,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f102,f107,f104]) ).

thf(f102,plain,
    ( ( a != e )
    | ( ( f3 @ a )
     != ( f3 @ e ) ) ),
    inference(constrained_superposition,[],[f30,f34]) ).

thf(f34,plain,
    ( ( f3 @ a )
    = ( g3 @ e ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,axiom,
    ( ( f3 @ a )
    = ( g3 @ e ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anote1) ).

thf(f30,plain,
    ( ( f3 @ e )
   != ( g3 @ a ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,axiom,
    ( ( f3 @ e )
   != ( g3 @ a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anote2) ).

thf(f101,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f94,f99,f96]) ).

thf(f94,plain,
    ( ( ( f8 @ c )
     != ( f8 @ e ) )
    | ( c != e ) ),
    inference(constrained_superposition,[],[f31,f32]) ).

thf(f32,plain,
    ( ( f8 @ c )
    = ( g8 @ e ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,axiom,
    ( ( f8 @ c )
    = ( g8 @ e ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnote1) ).

thf(f31,plain,
    ( ( f8 @ e )
   != ( g8 @ c ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f18,axiom,
    ( ( f8 @ e )
   != ( g8 @ c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnote2) ).

thf(f93,plain,
    ( spl0_9
    | spl0_11
    | spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f57,f47,f91,f88,f81]) ).

thf(f57,plain,
    ( ( $true = sK2 )
    | ( ( d @ $false )
      = $false )
    | ( ( e @ $false )
      = $false )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f55]) ).

thf(f55,plain,
    ( ( $true = sK2 )
    | ( ( d @ $false )
     != ( e @ $false ) )
    | spl0_1 ),
    inference(cases_simplifying,[],[f53]) ).

thf(f53,plain,
    ( ( ( e @ sK2 )
     != ( d @ sK2 ) )
    | spl0_1 ),
    inference(negative_extensionality,[],[f48]) ).

thf(f86,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_1 ),
    inference(avatar_split_clause,[],[f56,f47,f84,f81,f78]) ).

thf(f56,plain,
    ( ( $true
      = ( e @ $false ) )
    | ( ( d @ $false )
      = $true )
    | ( $true = sK2 )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f55]) ).

thf(f76,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f59,f47,f74,f71,f67]) ).

thf(f59,plain,
    ( ( ( d @ $true )
      = $false )
    | ( sK2 = $false )
    | ( ( e @ $true )
      = $false )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f54]) ).

thf(f54,plain,
    ( ( sK2 = $false )
    | ( ( e @ $true )
     != ( d @ $true ) )
    | spl0_1 ),
    inference(cases_simplifying,[],[f53]) ).

thf(f69,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f58,f47,f67,f64,f61]) ).

thf(f58,plain,
    ( ( ( e @ $true )
      = $true )
    | ( sK2 = $false )
    | ( $true
      = ( d @ $true ) )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f54]) ).

thf(f52,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f45,f50,f47]) ).

thf(f45,plain,
    ( ( ( f9 @ d )
     != ( f9 @ e ) )
    | ( d != e ) ),
    inference(constrained_superposition,[],[f28,f26]) ).

thf(f26,plain,
    ( ( f9 @ d )
    = ( g9 @ e ) ),
    inference(cnf_transformation,[],[f19]) ).

thf(f19,axiom,
    ( ( f9 @ d )
    = ( g9 @ e ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dnote1) ).

thf(f28,plain,
    ( ( f9 @ e )
   != ( g9 @ d ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f20,axiom,
    ( ( f9 @ e )
   != ( g9 @ d ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dnote2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : SYO505^1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.10  % 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
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon May 20 09:32:22 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a TH0_THM_EQU_NAR problem
% 0.09/0.30  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
% 0.09/0.31  % (18856)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.09/0.31  % (18851)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)
% 0.09/0.31  % (18852)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)
% 0.09/0.31  % (18853)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.31  % (18853)Instruction limit reached!
% 0.14/0.31  % (18853)------------------------------
% 0.14/0.31  % (18853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.31  % (18853)Termination reason: Unknown
% 0.14/0.31  % (18853)Termination phase: Saturation
% 0.14/0.31  
% 0.14/0.31  % (18853)Memory used [KB]: 5500
% 0.14/0.31  % (18853)Time elapsed: 0.003 s
% 0.14/0.31  % (18853)Instructions burned: 2 (million)
% 0.14/0.31  % (18853)------------------------------
% 0.14/0.31  % (18853)------------------------------
% 0.14/0.31  % (18851)Refutation not found, incomplete strategy
% 0.14/0.31  % (18851)------------------------------
% 0.14/0.31  % (18851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.31  % (18851)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.31  
% 0.14/0.31  
% 0.14/0.31  % (18851)Memory used [KB]: 5500
% 0.14/0.31  % (18851)Time elapsed: 0.003 s
% 0.14/0.31  % (18851)Instructions burned: 3 (million)
% 0.14/0.31  % (18851)------------------------------
% 0.14/0.31  % (18851)------------------------------
% 0.14/0.31  % (18854)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)
% 0.14/0.31  % (18854)Instruction limit reached!
% 0.14/0.31  % (18854)------------------------------
% 0.14/0.31  % (18854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.31  % (18854)Termination reason: Unknown
% 0.14/0.31  % (18854)Termination phase: Saturation
% 0.14/0.31  
% 0.14/0.31  % (18854)Memory used [KB]: 895
% 0.14/0.31  % (18854)Time elapsed: 0.002 s
% 0.14/0.31  % (18854)Instructions burned: 2 (million)
% 0.14/0.31  % (18850)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.31  % (18854)------------------------------
% 0.14/0.31  % (18854)------------------------------
% 0.14/0.31  % (18852)Refutation not found, incomplete strategy
% 0.14/0.31  % (18852)------------------------------
% 0.14/0.31  % (18852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.31  % (18852)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.31  
% 0.14/0.31  
% 0.14/0.31  % (18852)Memory used [KB]: 5500
% 0.14/0.31  % (18852)Time elapsed: 0.004 s
% 0.14/0.31  % (18852)Instructions burned: 4 (million)
% 0.14/0.31  % (18852)------------------------------
% 0.14/0.31  % (18852)------------------------------
% 0.14/0.31  % (18855)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)
% 0.14/0.31  % (18855)Refutation not found, incomplete strategy
% 0.14/0.31  % (18855)------------------------------
% 0.14/0.31  % (18855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.31  % (18855)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.31  
% 0.14/0.31  
% 0.14/0.31  % (18855)Memory used [KB]: 5373
% 0.14/0.31  % (18855)Time elapsed: 0.003 s
% 0.14/0.32  % (18855)Instructions burned: 1 (million)
% 0.14/0.32  % (18855)------------------------------
% 0.14/0.32  % (18855)------------------------------
% 0.14/0.32  % (18856)Instruction limit reached!
% 0.14/0.32  % (18856)------------------------------
% 0.14/0.32  % (18856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (18856)Termination reason: Unknown
% 0.14/0.32  % (18856)Termination phase: Saturation
% 0.14/0.32  
% 0.14/0.32  % (18856)Memory used [KB]: 5628
% 0.14/0.32  % (18856)Time elapsed: 0.009 s
% 0.14/0.32  % (18856)Instructions burned: 18 (million)
% 0.14/0.32  % (18856)------------------------------
% 0.14/0.32  % (18856)------------------------------
% 0.14/0.32  % (18858)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)
% 0.14/0.32  % (18859)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)
% 0.14/0.32  % (18859)Refutation not found, incomplete strategy
% 0.14/0.32  % (18859)------------------------------
% 0.14/0.32  % (18859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (18859)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.32  
% 0.14/0.32  
% 0.14/0.32  % (18859)Memory used [KB]: 5500
% 0.14/0.32  % (18859)Time elapsed: 0.002 s
% 0.14/0.32  % (18859)Instructions burned: 1 (million)
% 0.14/0.32  % (18859)------------------------------
% 0.14/0.32  % (18859)------------------------------
% 0.14/0.32  % (18857)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)
% 0.14/0.32  % (18857)Instruction limit reached!
% 0.14/0.32  % (18857)------------------------------
% 0.14/0.32  % (18857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (18861)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)
% 0.14/0.32  % (18857)Termination reason: Unknown
% 0.14/0.32  % (18857)Termination phase: Saturation
% 0.14/0.32  
% 0.14/0.32  % (18857)Memory used [KB]: 5500
% 0.14/0.32  % (18857)Time elapsed: 0.003 s
% 0.14/0.32  % (18857)Instructions burned: 3 (million)
% 0.14/0.32  % (18857)------------------------------
% 0.14/0.32  % (18857)------------------------------
% 0.14/0.32  % (18863)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.33  % (18860)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)
% 0.14/0.33  % (18861)Refutation not found, incomplete strategy
% 0.14/0.33  % (18861)------------------------------
% 0.14/0.33  % (18861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33  % (18861)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.33  
% 0.14/0.33  
% 0.14/0.33  % (18861)Memory used [KB]: 5500
% 0.14/0.33  % (18861)Time elapsed: 0.003 s
% 0.14/0.33  % (18861)Instructions burned: 4 (million)
% 0.14/0.33  % (18861)------------------------------
% 0.14/0.33  % (18861)------------------------------
% 0.14/0.33  % (18862)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.33  % (18860)Instruction limit reached!
% 0.14/0.33  % (18860)------------------------------
% 0.14/0.33  % (18860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33  % (18860)Termination reason: Unknown
% 0.14/0.33  % (18860)Termination phase: Saturation
% 0.14/0.33  
% 0.14/0.33  % (18860)Memory used [KB]: 5500
% 0.14/0.33  % (18860)Time elapsed: 0.003 s
% 0.14/0.33  % (18860)Instructions burned: 3 (million)
% 0.14/0.33  % (18860)------------------------------
% 0.14/0.33  % (18860)------------------------------
% 0.14/0.33  % (18862)Instruction limit reached!
% 0.14/0.33  % (18862)------------------------------
% 0.14/0.33  % (18862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33  % (18862)Termination reason: Unknown
% 0.14/0.33  % (18862)Termination phase: Saturation
% 0.14/0.33  
% 0.14/0.33  % (18862)Memory used [KB]: 1023
% 0.14/0.33  % (18862)Time elapsed: 0.006 s
% 0.14/0.33  % (18862)Instructions burned: 8 (million)
% 0.14/0.33  % (18862)------------------------------
% 0.14/0.33  % (18862)------------------------------
% 0.14/0.33  % (18863)Instruction limit reached!
% 0.14/0.33  % (18863)------------------------------
% 0.14/0.33  % (18863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33  % (18863)Termination reason: Unknown
% 0.14/0.33  % (18863)Termination phase: Saturation
% 0.14/0.33  
% 0.14/0.33  % (18863)Memory used [KB]: 5756
% 0.14/0.33  % (18863)Time elapsed: 0.008 s
% 0.14/0.33  % (18863)Instructions burned: 16 (million)
% 0.14/0.33  % (18863)------------------------------
% 0.14/0.33  % (18863)------------------------------
% 0.14/0.33  % (18864)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)
% 0.14/0.33  % (18864)Instruction limit reached!
% 0.14/0.33  % (18864)------------------------------
% 0.14/0.33  % (18864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33  % (18864)Termination reason: Unknown
% 0.14/0.33  % (18864)Termination phase: Saturation
% 0.14/0.33  
% 0.14/0.33  % (18864)Memory used [KB]: 5500
% 0.14/0.33  % (18864)Time elapsed: 0.003 s
% 0.14/0.33  % (18864)Instructions burned: 3 (million)
% 0.14/0.33  % (18864)------------------------------
% 0.14/0.33  % (18864)------------------------------
% 0.14/0.34  % (18865)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)
% 0.14/0.34  % (18866)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)
% 0.14/0.34  % (18865)Instruction limit reached!
% 0.14/0.34  % (18865)------------------------------
% 0.14/0.34  % (18865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18865)Termination reason: Unknown
% 0.14/0.34  % (18865)Termination phase: Saturation
% 0.14/0.34  
% 0.14/0.34  % (18865)Memory used [KB]: 1023
% 0.14/0.34  % (18865)Time elapsed: 0.003 s
% 0.14/0.34  % (18865)Instructions burned: 4 (million)
% 0.14/0.34  % (18865)------------------------------
% 0.14/0.34  % (18865)------------------------------
% 0.14/0.34  % (18866)Refutation not found, incomplete strategy
% 0.14/0.34  % (18866)------------------------------
% 0.14/0.34  % (18866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18866)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.34  
% 0.14/0.34  
% 0.14/0.34  % (18866)Memory used [KB]: 5500
% 0.14/0.34  % (18866)Time elapsed: 0.002 s
% 0.14/0.34  % (18866)Instructions burned: 3 (million)
% 0.14/0.34  % (18866)------------------------------
% 0.14/0.34  % (18866)------------------------------
% 0.14/0.34  % (18858)Instruction limit reached!
% 0.14/0.34  % (18858)------------------------------
% 0.14/0.34  % (18858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18858)Termination reason: Unknown
% 0.14/0.34  % (18858)Termination phase: Saturation
% 0.14/0.34  
% 0.14/0.34  % (18858)Memory used [KB]: 5884
% 0.14/0.34  % (18858)Time elapsed: 0.018 s
% 0.14/0.34  % (18858)Instructions burned: 37 (million)
% 0.14/0.34  % (18858)------------------------------
% 0.14/0.34  % (18858)------------------------------
% 0.14/0.34  % (18869)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)
% 0.14/0.34  % (18867)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)
% 0.14/0.34  % (18868)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.34  % (18869)Refutation not found, incomplete strategy
% 0.14/0.34  % (18869)------------------------------
% 0.14/0.34  % (18869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18869)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.34  
% 0.14/0.34  
% 0.14/0.34  % (18869)Memory used [KB]: 5500
% 0.14/0.34  % (18869)Time elapsed: 0.002 s
% 0.14/0.34  % (18869)Instructions burned: 3 (million)
% 0.14/0.34  % (18869)------------------------------
% 0.14/0.34  % (18869)------------------------------
% 0.14/0.34  % (18871)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.14/0.34  % (18867)Instruction limit reached!
% 0.14/0.34  % (18867)------------------------------
% 0.14/0.34  % (18867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18867)Termination reason: Unknown
% 0.14/0.34  % (18867)Termination phase: Saturation
% 0.14/0.34  
% 0.14/0.34  % (18867)Memory used [KB]: 5500
% 0.14/0.34  % (18867)Time elapsed: 0.003 s
% 0.14/0.34  % (18867)Instructions burned: 3 (million)
% 0.14/0.34  % (18867)------------------------------
% 0.14/0.34  % (18867)------------------------------
% 0.14/0.34  % (18871)Refutation not found, incomplete strategy
% 0.14/0.34  % (18871)------------------------------
% 0.14/0.34  % (18871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18871)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.34  
% 0.14/0.34  
% 0.14/0.34  % (18871)Memory used [KB]: 5373
% 0.14/0.34  % (18871)Time elapsed: 0.001 s
% 0.14/0.34  % (18871)------------------------------
% 0.14/0.34  % (18871)------------------------------
% 0.14/0.34  % (18868)Instruction limit reached!
% 0.14/0.34  % (18868)------------------------------
% 0.14/0.34  % (18868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34  % (18868)Termination reason: Unknown
% 0.14/0.34  % (18868)Termination phase: Saturation
% 0.14/0.34  
% 0.14/0.34  % (18868)Memory used [KB]: 5500
% 0.14/0.34  % (18868)Time elapsed: 0.004 s
% 0.14/0.34  % (18868)Instructions burned: 4 (million)
% 0.14/0.34  % (18868)------------------------------
% 0.14/0.34  % (18868)------------------------------
% 0.14/0.35  % (18873)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)
% 0.14/0.35  % (18872)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.35  % (18874)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)
% 0.14/0.35  % (18873)Refutation not found, incomplete strategy
% 0.14/0.35  % (18873)------------------------------
% 0.14/0.35  % (18873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35  % (18873)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.35  
% 0.14/0.35  
% 0.14/0.35  % (18873)Memory used [KB]: 5500
% 0.14/0.35  % (18873)Time elapsed: 0.002 s
% 0.14/0.35  % (18873)Instructions burned: 2 (million)
% 0.14/0.35  % (18873)------------------------------
% 0.14/0.35  % (18873)------------------------------
% 0.14/0.35  % (18874)Refutation not found, incomplete strategy
% 0.14/0.35  % (18874)------------------------------
% 0.14/0.35  % (18874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35  % (18874)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.35  
% 0.14/0.35  
% 0.14/0.35  % (18874)Memory used [KB]: 5373
% 0.14/0.35  % (18874)Time elapsed: 0.002 s
% 0.14/0.35  % (18874)Instructions burned: 2 (million)
% 0.14/0.35  % (18874)------------------------------
% 0.14/0.35  % (18874)------------------------------
% 0.14/0.35  % (18875)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.35  % (18872)Instruction limit reached!
% 0.14/0.35  % (18872)------------------------------
% 0.14/0.35  % (18872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35  % (18872)Termination reason: Unknown
% 0.14/0.35  % (18872)Termination phase: Saturation
% 0.14/0.35  
% 0.14/0.35  % (18872)Memory used [KB]: 5500
% 0.14/0.35  % (18872)Time elapsed: 0.004 s
% 0.14/0.35  % (18872)Instructions burned: 7 (million)
% 0.14/0.35  % (18872)------------------------------
% 0.14/0.35  % (18872)------------------------------
% 0.14/0.35  % (18877)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.14/0.35  % (18875)Refutation not found, incomplete strategy
% 0.14/0.35  % (18875)------------------------------
% 0.14/0.35  % (18875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35  % (18875)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.35  
% 0.14/0.35  
% 0.14/0.35  % (18875)Memory used [KB]: 5500
% 0.14/0.35  % (18875)Time elapsed: 0.002 s
% 0.14/0.35  % (18875)Instructions burned: 3 (million)
% 0.14/0.35  % (18875)------------------------------
% 0.14/0.35  % (18875)------------------------------
% 0.14/0.35  % (18877)Refutation not found, incomplete strategy
% 0.14/0.35  % (18877)------------------------------
% 0.14/0.35  % (18877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35  % (18877)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.35  
% 0.14/0.35  
% 0.14/0.35  % (18877)Memory used [KB]: 5500
% 0.14/0.35  % (18877)Time elapsed: 0.002 s
% 0.14/0.35  % (18877)Instructions burned: 3 (million)
% 0.14/0.35  % (18877)------------------------------
% 0.14/0.35  % (18877)------------------------------
% 0.14/0.35  % (18876)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)
% 0.14/0.36  % (18876)Refutation not found, incomplete strategy
% 0.14/0.36  % (18876)------------------------------
% 0.14/0.36  % (18876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (18876)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % (18876)Memory used [KB]: 5373
% 0.14/0.36  % (18876)Time elapsed: 0.002 s
% 0.14/0.36  % (18876)Instructions burned: 2 (million)
% 0.14/0.36  % (18876)------------------------------
% 0.14/0.36  % (18876)------------------------------
% 0.14/0.36  % (18878)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)
% 0.14/0.36  % (18880)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)
% 0.14/0.36  % (18880)Refutation not found, incomplete strategy
% 0.14/0.36  % (18880)------------------------------
% 0.14/0.36  % (18880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (18878)Refutation not found, incomplete strategy
% 0.14/0.36  % (18878)------------------------------
% 0.14/0.36  % (18878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (18878)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % (18878)Memory used [KB]: 5373
% 0.14/0.36  % (18878)Time elapsed: 0.001 s
% 0.14/0.36  % (18878)------------------------------
% 0.14/0.36  % (18878)------------------------------
% 0.14/0.36  % (18880)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % (18880)Memory used [KB]: 5373
% 0.14/0.36  % (18880)Time elapsed: 0.001 s
% 0.14/0.36  % (18880)Instructions burned: 1 (million)
% 0.14/0.36  % (18880)------------------------------
% 0.14/0.36  % (18880)------------------------------
% 0.14/0.36  % (18879)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)
% 0.14/0.36  % (18879)Refutation not found, incomplete strategy
% 0.14/0.36  % (18879)------------------------------
% 0.14/0.36  % (18879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (18879)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % (18879)Memory used [KB]: 5373
% 0.14/0.36  % (18879)Time elapsed: 0.001 s
% 0.14/0.36  % (18879)------------------------------
% 0.14/0.36  % (18879)------------------------------
% 0.14/0.36  % (18881)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.14/0.36  % (18882)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.36  % (18883)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.14/0.36  % (18882)Instruction limit reached!
% 0.14/0.36  % (18882)------------------------------
% 0.14/0.36  % (18882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (18882)Termination reason: Unknown
% 0.14/0.36  % (18882)Termination phase: Saturation
% 0.14/0.36  
% 0.14/0.36  % (18882)Memory used [KB]: 1023
% 0.14/0.36  % (18882)Time elapsed: 0.002 s
% 0.14/0.36  % (18882)Instructions burned: 3 (million)
% 0.14/0.36  % (18882)------------------------------
% 0.14/0.36  % (18882)------------------------------
% 0.14/0.36  % (18883)Refutation not found, incomplete strategy
% 0.14/0.36  % (18883)------------------------------
% 0.14/0.36  % (18883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (18883)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36  
% 0.14/0.36  
% 0.14/0.36  % (18883)Memory used [KB]: 5500
% 0.14/0.36  % (18883)Time elapsed: 0.004 s
% 0.14/0.36  % (18883)Instructions burned: 7 (million)
% 0.14/0.36  % (18883)------------------------------
% 0.14/0.36  % (18883)------------------------------
% 0.14/0.37  % (18886)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 (2999ds/3Mi)
% 0.14/0.37  % (18881)Instruction limit reached!
% 0.14/0.37  % (18881)------------------------------
% 0.14/0.37  % (18881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (18881)Termination reason: Unknown
% 0.14/0.37  % (18881)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (18881)Memory used [KB]: 5756
% 0.14/0.37  % (18881)Time elapsed: 0.009 s
% 0.14/0.37  % (18881)Instructions burned: 19 (million)
% 0.14/0.37  % (18886)Instruction limit reached!
% 0.14/0.37  % (18886)------------------------------
% 0.14/0.37  % (18886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (18886)Termination reason: Unknown
% 0.14/0.37  % (18886)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (18886)Memory used [KB]: 5500
% 0.14/0.37  % (18886)Time elapsed: 0.002 s
% 0.14/0.37  % (18886)Instructions burned: 3 (million)
% 0.14/0.37  % (18886)------------------------------
% 0.14/0.37  % (18886)------------------------------
% 0.14/0.37  % (18881)------------------------------
% 0.14/0.37  % (18881)------------------------------
% 0.14/0.37  % (18885)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.37  % (18887)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 (2999ds/20Mi)
% 0.14/0.37  % (18887)Refutation not found, incomplete strategy
% 0.14/0.37  % (18887)------------------------------
% 0.14/0.37  % (18887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (18887)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (18887)Memory used [KB]: 5373
% 0.14/0.37  % (18887)Time elapsed: 0.001 s
% 0.14/0.37  % (18887)Instructions burned: 1 (million)
% 0.14/0.37  % (18887)------------------------------
% 0.14/0.37  % (18887)------------------------------
% 0.14/0.37  % (18885)Refutation not found, incomplete strategy
% 0.14/0.37  % (18885)------------------------------
% 0.14/0.37  % (18885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (18885)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (18885)Memory used [KB]: 5500
% 0.14/0.37  % (18885)Time elapsed: 0.002 s
% 0.14/0.37  % (18885)Instructions burned: 3 (million)
% 0.14/0.37  % (18885)------------------------------
% 0.14/0.37  % (18885)------------------------------
% 0.14/0.37  % (18884)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.14/0.37  % (18888)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 (2999ds/86Mi)
% 0.14/0.37  % (18889)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2999ds/107Mi)
% 0.14/0.37  % (18889)Refutation not found, incomplete strategy
% 0.14/0.37  % (18889)------------------------------
% 0.14/0.37  % (18889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (18889)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (18889)Memory used [KB]: 5373
% 0.14/0.37  % (18889)Time elapsed: 0.001 s
% 0.14/0.37  % (18889)Instructions burned: 1 (million)
% 0.14/0.37  % (18889)------------------------------
% 0.14/0.37  % (18889)------------------------------
% 0.14/0.37  % (18890)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.37  % (18891)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2999ds/448Mi)
% 0.14/0.38  % (18891)Refutation not found, incomplete strategy
% 0.14/0.38  % (18891)------------------------------
% 0.14/0.38  % (18891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (18891)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (18891)Memory used [KB]: 5373
% 0.14/0.38  % (18891)Time elapsed: 0.001 s
% 0.14/0.38  % (18891)Instructions burned: 1 (million)
% 0.14/0.38  % (18891)------------------------------
% 0.14/0.38  % (18891)------------------------------
% 0.14/0.38  % (18890)Refutation not found, incomplete strategy
% 0.14/0.38  % (18890)------------------------------
% 0.14/0.38  % (18890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (18890)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (18890)Memory used [KB]: 5500
% 0.14/0.38  % (18890)Time elapsed: 0.002 s
% 0.14/0.38  % (18890)Instructions burned: 3 (million)
% 0.14/0.38  % (18890)------------------------------
% 0.14/0.38  % (18890)------------------------------
% 0.14/0.38  % (18893)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2999ds/98Mi)
% 0.14/0.38  % (18892)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.14/0.38  % (18892)Refutation not found, incomplete strategy
% 0.14/0.38  % (18892)------------------------------
% 0.14/0.38  % (18892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (18892)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (18892)Memory used [KB]: 5373
% 0.14/0.38  % (18892)Time elapsed: 0.002 s
% 0.14/0.38  % (18892)Instructions burned: 2 (million)
% 0.14/0.38  % (18892)------------------------------
% 0.14/0.38  % (18892)------------------------------
% 0.14/0.38  % (18893)Refutation not found, incomplete strategy
% 0.14/0.38  % (18893)------------------------------
% 0.14/0.38  % (18893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (18893)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (18893)Memory used [KB]: 1023
% 0.14/0.38  % (18893)Time elapsed: 0.002 s
% 0.14/0.38  % (18893)Instructions burned: 3 (million)
% 0.14/0.38  % (18893)------------------------------
% 0.14/0.38  % (18893)------------------------------
% 0.14/0.38  % (18894)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2999ds/507Mi)
% 0.14/0.38  % (18894)Refutation not found, incomplete strategy
% 0.14/0.38  % (18894)------------------------------
% 0.14/0.38  % (18894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (18894)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (18894)Memory used [KB]: 5500
% 0.14/0.38  % (18894)Time elapsed: 0.002 s
% 0.14/0.38  % (18894)Instructions burned: 3 (million)
% 0.14/0.38  % (18894)------------------------------
% 0.14/0.38  % (18894)------------------------------
% 0.14/0.38  % (18895)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2999ds/149Mi)
% 0.14/0.39  % (18896)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.39  % (18896)Refutation not found, incomplete strategy
% 0.14/0.39  % (18896)------------------------------
% 0.14/0.39  % (18896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (18896)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (18896)Memory used [KB]: 5500
% 0.14/0.39  % (18896)Time elapsed: 0.002 s
% 0.14/0.39  % (18896)Instructions burned: 3 (million)
% 0.14/0.39  % (18896)------------------------------
% 0.14/0.39  % (18896)------------------------------
% 0.14/0.39  % (18897)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.39  % (18897)Refutation not found, incomplete strategy
% 0.14/0.39  % (18897)------------------------------
% 0.14/0.39  % (18897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (18897)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (18897)Memory used [KB]: 9978
% 0.14/0.39  % (18897)Time elapsed: 0.003 s
% 0.14/0.39  % (18897)Instructions burned: 4 (million)
% 0.14/0.39  % (18897)------------------------------
% 0.14/0.39  % (18897)------------------------------
% 0.14/0.39  % (18899)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.14/0.39  % (18898)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2999ds/1087Mi)
% 0.14/0.39  % (18898)Refutation not found, incomplete strategy
% 0.14/0.39  % (18898)------------------------------
% 0.14/0.39  % (18898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (18898)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (18898)Memory used [KB]: 5373
% 0.14/0.39  % (18898)Time elapsed: 0.001 s
% 0.14/0.39  % (18898)------------------------------
% 0.14/0.39  % (18898)------------------------------
% 0.14/0.40  % (18900)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2999ds/44Mi)
% 0.14/0.40  % (18900)Refutation not found, incomplete strategy
% 0.14/0.40  % (18900)------------------------------
% 0.14/0.40  % (18900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (18900)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  % (18900)Memory used [KB]: 895
% 0.14/0.40  % (18900)Time elapsed: 0.001 s
% 0.14/0.40  % (18900)Instructions burned: 1 (million)
% 0.14/0.40  % (18900)------------------------------
% 0.14/0.40  % (18900)------------------------------
% 0.14/0.40  % (18901)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2999ds/432Mi)
% 0.14/0.40  % (18850)Instruction limit reached!
% 0.14/0.40  % (18850)------------------------------
% 0.14/0.40  % (18850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (18850)Termination reason: Unknown
% 0.14/0.40  % (18850)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (18850)Memory used [KB]: 7547
% 0.14/0.40  % (18850)Time elapsed: 0.087 s
% 0.14/0.40  % (18850)Instructions burned: 184 (million)
% 0.14/0.40  % (18850)------------------------------
% 0.14/0.40  % (18850)------------------------------
% 0.14/0.40  % (18901)Refutation not found, incomplete strategy
% 0.14/0.40  % (18901)------------------------------
% 0.14/0.40  % (18901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (18901)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  % (18901)Memory used [KB]: 1023
% 0.14/0.40  % (18901)Time elapsed: 0.002 s
% 0.14/0.40  % (18901)Instructions burned: 3 (million)
% 0.14/0.40  % (18901)------------------------------
% 0.14/0.40  % (18901)------------------------------
% 0.14/0.40  % (18902)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2999ds/62Mi)
% 0.14/0.41  % (18902)Refutation not found, incomplete strategy
% 0.14/0.41  % (18902)------------------------------
% 0.14/0.41  % (18902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (18902)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  % (18902)Memory used [KB]: 5500
% 0.14/0.41  % (18902)Time elapsed: 0.003 s
% 0.14/0.41  % (18902)Instructions burned: 4 (million)
% 0.14/0.41  % (18902)------------------------------
% 0.14/0.41  % (18902)------------------------------
% 0.14/0.41  % (18899)First to succeed.
% 0.14/0.41  % (18904)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi)
% 0.14/0.41  % (18903)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2999ds/31Mi)
% 0.14/0.41  % (18905)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2999ds/453Mi)
% 0.14/0.41  % (18888)Instruction limit reached!
% 0.14/0.41  % (18888)------------------------------
% 0.14/0.41  % (18888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (18888)Termination reason: Unknown
% 0.14/0.41  % (18888)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (18888)Memory used [KB]: 6140
% 0.14/0.41  % (18888)Time elapsed: 0.041 s
% 0.14/0.41  % (18888)Instructions burned: 87 (million)
% 0.14/0.41  % (18905)Refutation not found, incomplete strategy
% 0.14/0.41  % (18905)------------------------------
% 0.14/0.41  % (18905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (18888)------------------------------
% 0.14/0.41  % (18888)------------------------------
% 0.14/0.41  % (18905)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  % (18905)Memory used [KB]: 5500
% 0.14/0.41  % (18905)Time elapsed: 0.002 s
% 0.14/0.41  % (18905)Instructions burned: 3 (million)
% 0.14/0.41  % (18905)------------------------------
% 0.14/0.41  % (18905)------------------------------
% 0.14/0.41  % (18899)Refutation found. Thanks to Tanya!
% 0.14/0.41  % SZS status Theorem for theBenchmark
% 0.14/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41  % (18899)------------------------------
% 0.14/0.41  % (18899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (18899)Termination reason: Refutation
% 0.14/0.41  
% 0.14/0.41  % (18899)Memory used [KB]: 5884
% 0.14/0.41  % (18899)Time elapsed: 0.019 s
% 0.14/0.41  % (18899)Instructions burned: 34 (million)
% 0.14/0.41  % (18899)------------------------------
% 0.14/0.41  % (18899)------------------------------
% 0.14/0.41  % (18849)Success in time 0.108 s
% 0.14/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------