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Satallax---3.5.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : PUZ031^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n023.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 : Thu Oct  9 02:15:29 PM UTC 2025

% Result   : Theorem 0.94s 1.19s
% Output   : Proof 0.94s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_plant,type,
    plant: $i > $o ).

thf(ty_fox,type,
    fox: $i > $o ).

thf(ty_bird,type,
    bird: $i > $o ).

thf(ty_cf,type,
    cf: $i > $i ).

thf(ty_a_grain,type,
    a_grain: $i ).

thf(ty_a_wolf,type,
    a_wolf: $i ).

thf(ty_sf,type,
    sf: $i > $i ).

thf(ty_a_bird,type,
    a_bird: $i ).

thf(ty_a_caterpillar,type,
    a_caterpillar: $i ).

thf(ty_msmaller,type,
    msmaller: $i > $i > $o ).

thf(ty_a_snail,type,
    a_snail: $i ).

thf(ty_caterpillar,type,
    caterpillar: $i > $o ).

thf(ty_grain,type,
    grain: $i > $o ).

thf(ty_animal,type,
    animal: $i > $o ).

thf(ty_eats,type,
    eats: $i > $i > $o ).

thf(ty_wolf,type,
    wolf: $i > $o ).

thf(ty_snail,type,
    snail: $i > $o ).

thf(ty_a_fox,type,
    a_fox: $i ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: $i] :
        ( ~ ( eats @ X1 @ ( sf @ X1 ) )
       => ~ ( snail @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( fox @ a_fox ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_fox @ ( cf @ a_caterpillar ) )
                     => ( eats @ a_fox @ a_bird ) )
                 => ~ ( animal @ a_fox ) )
             => ~ ( plant @ ( cf @ a_caterpillar ) ) )
         => ~ ( animal @ a_bird ) )
     => ~ ( plant @ ( cf @ a_caterpillar ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( plant @ ( sf @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ! [X1: $i] :
        ( ~ ( ~ ( ~ ( ( animal @ a_fox )
                   => ~ ( animal @ a_bird ) )
               => ~ ( grain @ X1 ) )
           => ~ ( eats @ a_fox @ a_bird ) )
       => ~ ( eats @ a_bird @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( ( wolf @ a_wolf )
     => ~ ( grain @ a_grain ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( ( bird @ a_bird )
     => ~ ( snail @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( ~ ( eats @ a_bird @ a_grain )
     => ( eats @ a_bird @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( ~ ( ~ ( eats @ a_bird @ ( cf @ a_caterpillar ) )
         => ( eats @ a_bird @ a_snail ) )
     => ~ ( animal @ a_bird ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ( ~ ( ~ ( ~ ( eats @ a_fox @ ( cf @ a_caterpillar ) )
             => ( eats @ a_fox @ a_bird ) )
         => ~ ( animal @ a_fox ) )
     => ~ ( plant @ ( cf @ a_caterpillar ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( msmaller @ X1 @ X2 )
           => ~ ( fox @ X1 ) )
       => ~ ( wolf @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ( ~ ( ~ ( ~ ( ~ sP9
                 => ~ ( plant @ ( cf @ a_caterpillar ) ) )
             => ~ ( animal @ a_snail ) )
         => ~ sP4 )
     => ~ ( msmaller @ a_snail @ a_bird ) ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ( ~ sP12
     => ~ ( eats @ a_snail @ ( sf @ a_snail ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(sP14,plain,
    ( sP14
  <=> ( eats @ a_fox @ a_bird ) ),
    introduced(definition,[new_symbols(definition,[sP14])]) ).

thf(sP15,plain,
    ( sP15
  <=> ( ~ ( ( animal @ a_fox )
         => ~ ( animal @ a_bird ) )
     => ~ ( grain @ a_grain ) ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(sP16,plain,
    ( sP16
  <=> ! [X1: $i] :
        ( ~ ( ~ ( ~ ( ~ sP10
                   => ~ ( animal @ a_bird ) )
               => ~ ( plant @ X1 ) )
           => ~ ( msmaller @ a_bird @ a_fox ) )
       => ~ ( eats @ a_bird @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP16])]) ).

thf(sP17,plain,
    ( sP17
  <=> ! [X1: $i] :
        ( ~ ( ~ ( msmaller @ a_fox @ X1 )
           => ~ sP2 )
       => ~ ( wolf @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP17])]) ).

thf(sP18,plain,
    ( sP18
  <=> ( plant @ ( cf @ a_caterpillar ) ) ),
    introduced(definition,[new_symbols(definition,[sP18])]) ).

thf(sP19,plain,
    ( sP19
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( ~ ( ( animal @ a_fox )
                   => ~ ( animal @ X1 ) )
               => ~ ( grain @ X2 ) )
           => ~ ( eats @ a_fox @ X1 ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP19])]) ).

thf(sP20,plain,
    ( sP20
  <=> ! [X1: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP8
                           => ~ ( animal @ a_bird ) )
                       => ~ ( plant @ a_grain ) )
                   => ~ ( animal @ a_snail ) )
               => ~ ( plant @ X1 ) )
           => ~ ( msmaller @ a_snail @ a_bird ) )
       => ~ ( eats @ a_snail @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP20])]) ).

thf(sP21,plain,
    ( sP21
  <=> ! [X1: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ sP9
                       => ~ sP18 )
                   => ~ ( animal @ a_snail ) )
               => ~ ( plant @ X1 ) )
           => ~ ( msmaller @ a_snail @ a_bird ) )
       => ~ ( eats @ a_snail @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP21])]) ).

thf(sP22,plain,
    ( sP22
  <=> ! [X1: $i] :
        ( ~ ( plant @ ( cf @ X1 ) )
       => ~ ( caterpillar @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP22])]) ).

thf(sP23,plain,
    ( sP23
  <=> ( ~ sP7
     => ~ ( eats @ a_bird @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP23])]) ).

thf(sP24,plain,
    ( sP24
  <=> ( animal @ a_bird ) ),
    introduced(definition,[new_symbols(definition,[sP24])]) ).

thf(sP25,plain,
    ( sP25
  <=> ( eats @ a_wolf @ a_grain ) ),
    introduced(definition,[new_symbols(definition,[sP25])]) ).

thf(sP26,plain,
    ( sP26
  <=> ( ~ ( plant @ a_grain )
     => ~ ( grain @ a_grain ) ) ),
    introduced(definition,[new_symbols(definition,[sP26])]) ).

thf(sP27,plain,
    ( sP27
  <=> ( msmaller @ a_bird @ a_fox ) ),
    introduced(definition,[new_symbols(definition,[sP27])]) ).

thf(sP28,plain,
    ( sP28
  <=> ( ~ ( ~ ( eats @ a_fox @ ( cf @ a_caterpillar ) )
         => sP14 )
     => ~ ( animal @ a_fox ) ) ),
    introduced(definition,[new_symbols(definition,[sP28])]) ).

thf(sP29,plain,
    ( sP29
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_fox @ ( cf @ a_caterpillar ) )
                               => ( eats @ a_fox @ X1 ) )
                           => ~ ( animal @ a_fox ) )
                       => ~ sP18 )
                   => ~ ( animal @ X1 ) )
               => ~ ( plant @ X2 ) )
           => ~ ( msmaller @ X1 @ a_fox ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP29])]) ).

thf(sP30,plain,
    ( sP30
  <=> ( ~ ( ~ sP15
         => ~ sP14 )
     => ~ ( eats @ a_bird @ a_grain ) ) ),
    introduced(definition,[new_symbols(definition,[sP30])]) ).

thf(sP31,plain,
    ( sP31
  <=> ! [X1: $i] :
        ( ~ ( animal @ X1 )
       => ~ ( snail @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP31])]) ).

thf(sP32,plain,
    ( sP32
  <=> ( ~ ( ~ sP3
         => ~ sP27 )
     => ~ ( eats @ a_bird @ ( cf @ a_caterpillar ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP32])]) ).

thf(sP33,plain,
    ( sP33
  <=> ! [X1: $i] :
        ( ~ ( ( bird @ a_bird )
           => ~ ( snail @ X1 ) )
       => ~ ( eats @ a_bird @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP33])]) ).

thf(sP34,plain,
    ( sP34
  <=> ( animal @ a_fox ) ),
    introduced(definition,[new_symbols(definition,[sP34])]) ).

thf(sP35,plain,
    ( sP35
  <=> ( ~ sP18
     => ~ ( caterpillar @ a_caterpillar ) ) ),
    introduced(definition,[new_symbols(definition,[sP35])]) ).

thf(sP36,plain,
    ( sP36
  <=> ( ~ sP24
     => ~ ( bird @ a_bird ) ) ),
    introduced(definition,[new_symbols(definition,[sP36])]) ).

thf(sP37,plain,
    ( sP37
  <=> ( ~ sP8
     => ~ sP24 ) ),
    introduced(definition,[new_symbols(definition,[sP37])]) ).

thf(sP38,plain,
    ( sP38
  <=> ( ( wolf @ a_wolf )
     => ~ sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP38])]) ).

thf(sP39,plain,
    ( sP39
  <=> ( ~ sP37
     => ~ ( plant @ a_grain ) ) ),
    introduced(definition,[new_symbols(definition,[sP39])]) ).

thf(sP40,plain,
    ( sP40
  <=> ( msmaller @ a_fox @ a_wolf ) ),
    introduced(definition,[new_symbols(definition,[sP40])]) ).

thf(sP41,plain,
    ( sP41
  <=> ! [X1: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP25
                               => ( eats @ a_wolf @ a_fox ) )
                           => ~ ( animal @ a_wolf ) )
                       => ~ ( plant @ a_grain ) )
                   => ~ sP34 )
               => ~ ( plant @ X1 ) )
           => ~ sP40 )
       => ~ ( eats @ a_fox @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP41])]) ).

thf(sP42,plain,
    ( sP42
  <=> ( plant @ a_grain ) ),
    introduced(definition,[new_symbols(definition,[sP42])]) ).

thf(sP43,plain,
    ( sP43
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ( bird @ X1 )
           => ~ ( snail @ X2 ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP43])]) ).

thf(sP44,plain,
    ( sP44
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ ( cf @ a_caterpillar ) )
                               => ( eats @ a_bird @ X1 ) )
                           => ~ sP24 )
                       => ~ sP18 )
                   => ~ ( animal @ X1 ) )
               => ~ ( plant @ X2 ) )
           => ~ ( msmaller @ X1 @ a_bird ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP44])]) ).

thf(sP45,plain,
    ( sP45
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP25
                         => ( eats @ a_wolf @ a_fox ) )
                     => ~ ( animal @ a_wolf ) )
                 => ~ sP42 )
             => ~ sP34 )
         => ~ sP18 )
     => ~ sP40 ) ),
    introduced(definition,[new_symbols(definition,[sP45])]) ).

thf(sP46,plain,
    ( sP46
  <=> ( ~ ( eats @ a_bird @ ( cf @ a_caterpillar ) )
     => ( eats @ a_bird @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP46])]) ).

thf(sP47,plain,
    ( sP47
  <=> ( ~ ( ~ ( ~ sP25
             => ( eats @ a_wolf @ a_fox ) )
         => ~ ( animal @ a_wolf ) )
     => ~ sP42 ) ),
    introduced(definition,[new_symbols(definition,[sP47])]) ).

thf(sP48,plain,
    ( sP48
  <=> ( ~ sP45
     => ~ ( eats @ a_fox @ ( cf @ a_caterpillar ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP48])]) ).

thf(sP49,plain,
    ( sP49
  <=> ( ~ sP38
     => ~ ( eats @ a_wolf @ a_fox ) ) ),
    introduced(definition,[new_symbols(definition,[sP49])]) ).

thf(sP50,plain,
    ( sP50
  <=> ! [X1: $i] :
        ( ~ ( ( wolf @ X1 )
           => ~ sP2 )
       => ~ ( eats @ X1 @ a_fox ) ) ),
    introduced(definition,[new_symbols(definition,[sP50])]) ).

thf(sP51,plain,
    ( sP51
  <=> ( ~ ( ~ sP27
         => ~ ( bird @ a_bird ) )
     => ~ sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP51])]) ).

thf(sP52,plain,
    ( sP52
  <=> ( ~ sP6
     => ~ sP25 ) ),
    introduced(definition,[new_symbols(definition,[sP52])]) ).

thf(sP53,plain,
    ( sP53
  <=> ( ~ ( ~ ( ~ sP39
             => ~ ( animal @ a_snail ) )
         => ~ sP4 )
     => ~ ( msmaller @ a_snail @ a_bird ) ) ),
    introduced(definition,[new_symbols(definition,[sP53])]) ).

thf(sP54,plain,
    ( sP54
  <=> ( ~ ( ~ sP9
         => ~ sP18 )
     => ~ ( animal @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP54])]) ).

thf(sP55,plain,
    ( sP55
  <=> ( ~ ( ~ sP39
         => ~ ( animal @ a_snail ) )
     => ~ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP55])]) ).

thf(sP56,plain,
    ( sP56
  <=> ( snail @ a_snail ) ),
    introduced(definition,[new_symbols(definition,[sP56])]) ).

thf(sP57,plain,
    ( sP57
  <=> ( ~ ( eats @ a_snail @ ( sf @ a_snail ) )
     => ~ sP56 ) ),
    introduced(definition,[new_symbols(definition,[sP57])]) ).

thf(sP58,plain,
    ( sP58
  <=> ( bird @ a_bird ) ),
    introduced(definition,[new_symbols(definition,[sP58])]) ).

thf(sP59,plain,
    ( sP59
  <=> ( ~ sP3
     => ~ sP27 ) ),
    introduced(definition,[new_symbols(definition,[sP59])]) ).

thf(sP60,plain,
    ( sP60
  <=> ( eats @ a_bird @ ( cf @ a_caterpillar ) ) ),
    introduced(definition,[new_symbols(definition,[sP60])]) ).

thf(sP61,plain,
    ( sP61
  <=> ( ~ sP15
     => ~ sP14 ) ),
    introduced(definition,[new_symbols(definition,[sP61])]) ).

thf(sP62,plain,
    ( sP62
  <=> ( ~ ( ~ ( msmaller @ a_snail @ a_bird )
         => ~ sP56 )
     => ~ sP58 ) ),
    introduced(definition,[new_symbols(definition,[sP62])]) ).

thf(sP63,plain,
    ( sP63
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ a_grain )
                               => ( eats @ a_bird @ X1 ) )
                           => ~ sP24 )
                       => ~ sP42 )
                   => ~ ( animal @ X1 ) )
               => ~ ( plant @ X2 ) )
           => ~ ( msmaller @ X1 @ a_bird ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP63])]) ).

thf(sP64,plain,
    ( sP64
  <=> ( ~ ( ~ sP40
         => ~ sP2 )
     => ~ ( wolf @ a_wolf ) ) ),
    introduced(definition,[new_symbols(definition,[sP64])]) ).

thf(sP65,plain,
    ( sP65
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ( wolf @ X2 )
           => ~ ( fox @ X1 ) )
       => ~ ( eats @ X2 @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP65])]) ).

thf(sP66,plain,
    ( sP66
  <=> ( ~ sP9
     => ~ sP18 ) ),
    introduced(definition,[new_symbols(definition,[sP66])]) ).

thf(sP67,plain,
    ( sP67
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( msmaller @ X1 @ X2 )
           => ~ ( bird @ X1 ) )
       => ~ ( fox @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP67])]) ).

thf(sP68,plain,
    ( sP68
  <=> ! [X1: $i] :
        ( ~ ( animal @ X1 )
       => ~ ( wolf @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP68])]) ).

thf(sP69,plain,
    ( sP69
  <=> ( ~ sP47
     => ~ sP34 ) ),
    introduced(definition,[new_symbols(definition,[sP69])]) ).

thf(sP70,plain,
    ( sP70
  <=> ( ~ sP39
     => ~ ( animal @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP70])]) ).

thf(sP71,plain,
    ( sP71
  <=> ! [X1: $i] :
        ( ~ ( ( wolf @ a_wolf )
           => ~ ( grain @ X1 ) )
       => ~ ( eats @ a_wolf @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP71])]) ).

thf(sP72,plain,
    ( sP72
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_bird @ X1 )
                               => ( eats @ a_bird @ X2 ) )
                           => ~ sP24 )
                       => ~ ( plant @ X1 ) )
                   => ~ ( animal @ X2 ) )
               => ~ ( plant @ X3 ) )
           => ~ ( msmaller @ X2 @ a_bird ) )
       => ~ ( eats @ X2 @ X3 ) ) ),
    introduced(definition,[new_symbols(definition,[sP72])]) ).

thf(sP73,plain,
    ( sP73
  <=> ( eats @ a_wolf @ a_fox ) ),
    introduced(definition,[new_symbols(definition,[sP73])]) ).

thf(sP74,plain,
    ( sP74
  <=> ( ~ sP54
     => ~ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP74])]) ).

thf(sP75,plain,
    ( sP75
  <=> ( ~ sP34
     => ~ sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP75])]) ).

thf(sP76,plain,
    ( sP76
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP25
                               => ( eats @ a_wolf @ X1 ) )
                           => ~ ( animal @ a_wolf ) )
                       => ~ sP42 )
                   => ~ ( animal @ X1 ) )
               => ~ ( plant @ X2 ) )
           => ~ ( msmaller @ X1 @ a_wolf ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP76])]) ).

thf(sP77,plain,
    ( sP77
  <=> ( eats @ a_bird @ a_grain ) ),
    introduced(definition,[new_symbols(definition,[sP77])]) ).

thf(sP78,plain,
    ( sP78
  <=> ( wolf @ a_wolf ) ),
    introduced(definition,[new_symbols(definition,[sP78])]) ).

thf(sP79,plain,
    ( sP79
  <=> ! [X1: $i] :
        ( ~ ( animal @ X1 )
       => ~ ( bird @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP79])]) ).

thf(sP80,plain,
    ( sP80
  <=> ( grain @ a_grain ) ),
    introduced(definition,[new_symbols(definition,[sP80])]) ).

thf(sP81,plain,
    ( sP81
  <=> ! [X1: $i] :
        ( ~ ( plant @ ( sf @ X1 ) )
       => ~ ( snail @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP81])]) ).

thf(sP82,plain,
    ( sP82
  <=> ( ~ sP25
     => sP73 ) ),
    introduced(definition,[new_symbols(definition,[sP82])]) ).

thf(sP83,plain,
    ( sP83
  <=> ( ~ ( animal @ a_snail )
     => ~ sP56 ) ),
    introduced(definition,[new_symbols(definition,[sP83])]) ).

thf(sP84,plain,
    ( sP84
  <=> ( ~ ( eats @ a_fox @ ( cf @ a_caterpillar ) )
     => sP14 ) ),
    introduced(definition,[new_symbols(definition,[sP84])]) ).

thf(sP85,plain,
    ( sP85
  <=> ( animal @ a_wolf ) ),
    introduced(definition,[new_symbols(definition,[sP85])]) ).

thf(sP86,plain,
    ( sP86
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ~ ( ~ ( ~ ( ( animal @ X1 )
                   => ~ ( animal @ X2 ) )
               => ~ ( grain @ X3 ) )
           => ~ ( eats @ X1 @ X2 ) )
       => ~ ( eats @ X2 @ X3 ) ) ),
    introduced(definition,[new_symbols(definition,[sP86])]) ).

thf(sP87,plain,
    ( sP87
  <=> ( ~ sP69
     => ~ sP18 ) ),
    introduced(definition,[new_symbols(definition,[sP87])]) ).

thf(sP88,plain,
    ( sP88
  <=> ( ~ sP85
     => ~ sP78 ) ),
    introduced(definition,[new_symbols(definition,[sP88])]) ).

thf(sP89,plain,
    ( sP89
  <=> ( ~ sP27
     => ~ sP58 ) ),
    introduced(definition,[new_symbols(definition,[sP89])]) ).

thf(sP90,plain,
    ( sP90
  <=> ( eats @ a_bird @ a_snail ) ),
    introduced(definition,[new_symbols(definition,[sP90])]) ).

thf(sP91,plain,
    ( sP91
  <=> ( ~ sP10
     => ~ sP24 ) ),
    introduced(definition,[new_symbols(definition,[sP91])]) ).

thf(sP92,plain,
    ( sP92
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ( wolf @ X1 )
           => ~ ( grain @ X2 ) )
       => ~ ( eats @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP92])]) ).

thf(sP93,plain,
    ( sP93
  <=> ( animal @ a_snail ) ),
    introduced(definition,[new_symbols(definition,[sP93])]) ).

thf(sP94,plain,
    ( sP94
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( msmaller @ X1 @ X2 )
           => ~ ( snail @ X1 ) )
       => ~ ( bird @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP94])]) ).

thf(sP95,plain,
    ( sP95
  <=> ( eats @ a_snail @ ( sf @ a_snail ) ) ),
    introduced(definition,[new_symbols(definition,[sP95])]) ).

thf(sP96,plain,
    ( sP96
  <=> ( ~ sP53
     => ~ sP95 ) ),
    introduced(definition,[new_symbols(definition,[sP96])]) ).

thf(sP97,plain,
    ( sP97
  <=> ! [X1: $i] :
        ( ~ ( ~ ( msmaller @ a_bird @ X1 )
           => ~ sP58 )
       => ~ ( fox @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP97])]) ).

thf(sP98,plain,
    ( sP98
  <=> ( ~ sP82
     => ~ sP85 ) ),
    introduced(definition,[new_symbols(definition,[sP98])]) ).

thf(sP99,plain,
    ( sP99
  <=> ! [X1: $i] :
        ( ~ ( plant @ X1 )
       => ~ ( grain @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP99])]) ).

thf(sP100,plain,
    ( sP100
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ X1 @ X2 )
                               => ( eats @ X1 @ X3 ) )
                           => ~ ( animal @ X1 ) )
                       => ~ ( plant @ X2 ) )
                   => ~ ( animal @ X3 ) )
               => ~ ( plant @ X4 ) )
           => ~ ( msmaller @ X3 @ X1 ) )
       => ~ ( eats @ X3 @ X4 ) ) ),
    introduced(definition,[new_symbols(definition,[sP100])]) ).

thf(sP101,plain,
    ( sP101
  <=> ( ~ sP4
     => ~ sP56 ) ),
    introduced(definition,[new_symbols(definition,[sP101])]) ).

thf(sP102,plain,
    ( sP102
  <=> ( ~ sP40
     => ~ sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP102])]) ).

thf(sP103,plain,
    ( sP103
  <=> ( eats @ a_fox @ ( cf @ a_caterpillar ) ) ),
    introduced(definition,[new_symbols(definition,[sP103])]) ).

thf(sP104,plain,
    ( sP104
  <=> ! [X1: $i] :
        ( ~ ( ~ ( msmaller @ a_snail @ X1 )
           => ~ sP56 )
       => ~ ( bird @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP104])]) ).

thf(sP105,plain,
    ( sP105
  <=> ( msmaller @ a_snail @ a_bird ) ),
    introduced(definition,[new_symbols(definition,[sP105])]) ).

thf(sP106,plain,
    ( sP106
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_wolf @ X1 )
                               => ( eats @ a_wolf @ X2 ) )
                           => ~ sP85 )
                       => ~ ( plant @ X1 ) )
                   => ~ ( animal @ X2 ) )
               => ~ ( plant @ X3 ) )
           => ~ ( msmaller @ X2 @ a_wolf ) )
       => ~ ( eats @ X2 @ X3 ) ) ),
    introduced(definition,[new_symbols(definition,[sP106])]) ).

thf(sP107,plain,
    ( sP107
  <=> ! [X1: $i] :
        ( ~ ( animal @ X1 )
       => ~ ( fox @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP107])]) ).

thf(sP108,plain,
    ( sP108
  <=> ( ~ sP105
     => ~ sP56 ) ),
    introduced(definition,[new_symbols(definition,[sP108])]) ).

thf(sP109,plain,
    ( sP109
  <=> ( caterpillar @ a_caterpillar ) ),
    introduced(definition,[new_symbols(definition,[sP109])]) ).

thf(sP110,plain,
    ( sP110
  <=> ( sP34
     => ~ sP24 ) ),
    introduced(definition,[new_symbols(definition,[sP110])]) ).

thf(sP111,plain,
    ( sP111
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( eats @ a_fox @ X1 )
                               => ( eats @ a_fox @ X2 ) )
                           => ~ sP34 )
                       => ~ ( plant @ X1 ) )
                   => ~ ( animal @ X2 ) )
               => ~ ( plant @ X3 ) )
           => ~ ( msmaller @ X2 @ a_fox ) )
       => ~ ( eats @ X2 @ X3 ) ) ),
    introduced(definition,[new_symbols(definition,[sP111])]) ).

thf(cPUZ031_1,conjecture,
    ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                                   => ~ sP107 )
                                                                                               => ~ sP79 )
                                                                                           => ~ ! [X1: $i] :
                                                                                                  ( ~ ( animal @ X1 )
                                                                                                 => ~ ( caterpillar @ X1 ) ) )
                                                                                       => ~ sP31 )
                                                                                   => ~ sP78 )
                                                                               => ~ sP2 )
                                                                           => ~ sP58 )
                                                                       => ~ sP109 )
                                                                   => ~ sP56 )
                                                               => ~ sP80 )
                                                           => ~ sP99 )
                                                       => ~ sP100 )
                                                   => ~ ! [X1: $i,X2: $i] :
                                                          ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                                             => ~ ( caterpillar @ X1 ) )
                                                         => ~ ( bird @ X2 ) ) )
                                               => ~ sP94 )
                                           => ~ sP67 )
                                       => ~ sP11 )
                                   => ~ sP65 )
                               => ~ sP92 )
                           => ~ ! [X1: $i,X2: $i] :
                                  ( ~ ( ~ ( eats @ X1 @ X2 )
                                     => ~ ( bird @ X1 ) )
                                 => ~ ( caterpillar @ X2 ) ) )
                       => ~ sP43 )
                   => ~ sP22 )
               => ~ ! [X1: $i] :
                      ( ~ ( eats @ X1 @ ( cf @ X1 ) )
                     => ~ ( caterpillar @ X1 ) ) )
           => ~ sP81 )
       => ~ sP1 )
   => ~ sP86 ) ).

thf(h0,negated_conjecture,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                                     => ~ sP107 )
                                                                                                 => ~ sP79 )
                                                                                             => ~ ! [X1: $i] :
                                                                                                    ( ~ ( animal @ X1 )
                                                                                                   => ~ ( caterpillar @ X1 ) ) )
                                                                                         => ~ sP31 )
                                                                                     => ~ sP78 )
                                                                                 => ~ sP2 )
                                                                             => ~ sP58 )
                                                                         => ~ sP109 )
                                                                     => ~ sP56 )
                                                                 => ~ sP80 )
                                                             => ~ sP99 )
                                                         => ~ sP100 )
                                                     => ~ ! [X1: $i,X2: $i] :
                                                            ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                                               => ~ ( caterpillar @ X1 ) )
                                                           => ~ ( bird @ X2 ) ) )
                                                 => ~ sP94 )
                                             => ~ sP67 )
                                         => ~ sP11 )
                                     => ~ sP65 )
                                 => ~ sP92 )
                             => ~ ! [X1: $i,X2: $i] :
                                    ( ~ ( ~ ( eats @ X1 @ X2 )
                                       => ~ ( bird @ X1 ) )
                                   => ~ ( caterpillar @ X2 ) ) )
                         => ~ sP43 )
                     => ~ sP22 )
                 => ~ ! [X1: $i] :
                        ( ~ ( eats @ X1 @ ( cf @ X1 ) )
                       => ~ ( caterpillar @ X1 ) ) )
             => ~ sP81 )
         => ~ sP1 )
     => ~ sP86 ),
    inference(assume_negation,[status(cth)],[cPUZ031_1]) ).

thf(h1,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                                 => ~ sP107 )
                                                                                             => ~ sP79 )
                                                                                         => ~ ! [X1: $i] :
                                                                                                ( ~ ( animal @ X1 )
                                                                                               => ~ ( caterpillar @ X1 ) ) )
                                                                                     => ~ sP31 )
                                                                                 => ~ sP78 )
                                                                             => ~ sP2 )
                                                                         => ~ sP58 )
                                                                     => ~ sP109 )
                                                                 => ~ sP56 )
                                                             => ~ sP80 )
                                                         => ~ sP99 )
                                                     => ~ sP100 )
                                                 => ~ ! [X1: $i,X2: $i] :
                                                        ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                                           => ~ ( caterpillar @ X1 ) )
                                                       => ~ ( bird @ X2 ) ) )
                                             => ~ sP94 )
                                         => ~ sP67 )
                                     => ~ sP11 )
                                 => ~ sP65 )
                             => ~ sP92 )
                         => ~ ! [X1: $i,X2: $i] :
                                ( ~ ( ~ ( eats @ X1 @ X2 )
                                   => ~ ( bird @ X1 ) )
                               => ~ ( caterpillar @ X2 ) ) )
                     => ~ sP43 )
                 => ~ sP22 )
             => ~ ! [X1: $i] :
                    ( ~ ( eats @ X1 @ ( cf @ X1 ) )
                   => ~ ( caterpillar @ X1 ) ) )
         => ~ sP81 )
     => ~ sP1 ),
    introduced(assumption,[]) ).

thf(h2,assumption,
    sP86,
    introduced(assumption,[]) ).

thf(h3,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                             => ~ sP107 )
                                                                                         => ~ sP79 )
                                                                                     => ~ ! [X1: $i] :
                                                                                            ( ~ ( animal @ X1 )
                                                                                           => ~ ( caterpillar @ X1 ) ) )
                                                                                 => ~ sP31 )
                                                                             => ~ sP78 )
                                                                         => ~ sP2 )
                                                                     => ~ sP58 )
                                                                 => ~ sP109 )
                                                             => ~ sP56 )
                                                         => ~ sP80 )
                                                     => ~ sP99 )
                                                 => ~ sP100 )
                                             => ~ ! [X1: $i,X2: $i] :
                                                    ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                                       => ~ ( caterpillar @ X1 ) )
                                                   => ~ ( bird @ X2 ) ) )
                                         => ~ sP94 )
                                     => ~ sP67 )
                                 => ~ sP11 )
                             => ~ sP65 )
                         => ~ sP92 )
                     => ~ ! [X1: $i,X2: $i] :
                            ( ~ ( ~ ( eats @ X1 @ X2 )
                               => ~ ( bird @ X1 ) )
                           => ~ ( caterpillar @ X2 ) ) )
                 => ~ sP43 )
             => ~ sP22 )
         => ~ ! [X1: $i] :
                ( ~ ( eats @ X1 @ ( cf @ X1 ) )
               => ~ ( caterpillar @ X1 ) ) )
     => ~ sP81 ),
    introduced(assumption,[]) ).

thf(h4,assumption,
    sP1,
    introduced(assumption,[]) ).

thf(h5,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                         => ~ sP107 )
                                                                                     => ~ sP79 )
                                                                                 => ~ ! [X1: $i] :
                                                                                        ( ~ ( animal @ X1 )
                                                                                       => ~ ( caterpillar @ X1 ) ) )
                                                                             => ~ sP31 )
                                                                         => ~ sP78 )
                                                                     => ~ sP2 )
                                                                 => ~ sP58 )
                                                             => ~ sP109 )
                                                         => ~ sP56 )
                                                     => ~ sP80 )
                                                 => ~ sP99 )
                                             => ~ sP100 )
                                         => ~ ! [X1: $i,X2: $i] :
                                                ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                                   => ~ ( caterpillar @ X1 ) )
                                               => ~ ( bird @ X2 ) ) )
                                     => ~ sP94 )
                                 => ~ sP67 )
                             => ~ sP11 )
                         => ~ sP65 )
                     => ~ sP92 )
                 => ~ ! [X1: $i,X2: $i] :
                        ( ~ ( ~ ( eats @ X1 @ X2 )
                           => ~ ( bird @ X1 ) )
                       => ~ ( caterpillar @ X2 ) ) )
             => ~ sP43 )
         => ~ sP22 )
     => ~ ! [X1: $i] :
            ( ~ ( eats @ X1 @ ( cf @ X1 ) )
           => ~ ( caterpillar @ X1 ) ) ),
    introduced(assumption,[]) ).

thf(h6,assumption,
    sP81,
    introduced(assumption,[]) ).

thf(h7,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                     => ~ sP107 )
                                                                                 => ~ sP79 )
                                                                             => ~ ! [X1: $i] :
                                                                                    ( ~ ( animal @ X1 )
                                                                                   => ~ ( caterpillar @ X1 ) ) )
                                                                         => ~ sP31 )
                                                                     => ~ sP78 )
                                                                 => ~ sP2 )
                                                             => ~ sP58 )
                                                         => ~ sP109 )
                                                     => ~ sP56 )
                                                 => ~ sP80 )
                                             => ~ sP99 )
                                         => ~ sP100 )
                                     => ~ ! [X1: $i,X2: $i] :
                                            ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                               => ~ ( caterpillar @ X1 ) )
                                           => ~ ( bird @ X2 ) ) )
                                 => ~ sP94 )
                             => ~ sP67 )
                         => ~ sP11 )
                     => ~ sP65 )
                 => ~ sP92 )
             => ~ ! [X1: $i,X2: $i] :
                    ( ~ ( ~ ( eats @ X1 @ X2 )
                       => ~ ( bird @ X1 ) )
                   => ~ ( caterpillar @ X2 ) ) )
         => ~ sP43 )
     => ~ sP22 ),
    introduced(assumption,[]) ).

thf(h8,assumption,
    ! [X1: $i] :
      ( ~ ( eats @ X1 @ ( cf @ X1 ) )
     => ~ ( caterpillar @ X1 ) ),
    introduced(assumption,[]) ).

thf(h9,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                 => ~ sP107 )
                                                                             => ~ sP79 )
                                                                         => ~ ! [X1: $i] :
                                                                                ( ~ ( animal @ X1 )
                                                                               => ~ ( caterpillar @ X1 ) ) )
                                                                     => ~ sP31 )
                                                                 => ~ sP78 )
                                                             => ~ sP2 )
                                                         => ~ sP58 )
                                                     => ~ sP109 )
                                                 => ~ sP56 )
                                             => ~ sP80 )
                                         => ~ sP99 )
                                     => ~ sP100 )
                                 => ~ ! [X1: $i,X2: $i] :
                                        ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                           => ~ ( caterpillar @ X1 ) )
                                       => ~ ( bird @ X2 ) ) )
                             => ~ sP94 )
                         => ~ sP67 )
                     => ~ sP11 )
                 => ~ sP65 )
             => ~ sP92 )
         => ~ ! [X1: $i,X2: $i] :
                ( ~ ( ~ ( eats @ X1 @ X2 )
                   => ~ ( bird @ X1 ) )
               => ~ ( caterpillar @ X2 ) ) )
     => ~ sP43 ),
    introduced(assumption,[]) ).

thf(h10,assumption,
    sP22,
    introduced(assumption,[]) ).

thf(h11,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                             => ~ sP107 )
                                                                         => ~ sP79 )
                                                                     => ~ ! [X1: $i] :
                                                                            ( ~ ( animal @ X1 )
                                                                           => ~ ( caterpillar @ X1 ) ) )
                                                                 => ~ sP31 )
                                                             => ~ sP78 )
                                                         => ~ sP2 )
                                                     => ~ sP58 )
                                                 => ~ sP109 )
                                             => ~ sP56 )
                                         => ~ sP80 )
                                     => ~ sP99 )
                                 => ~ sP100 )
                             => ~ ! [X1: $i,X2: $i] :
                                    ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                       => ~ ( caterpillar @ X1 ) )
                                   => ~ ( bird @ X2 ) ) )
                         => ~ sP94 )
                     => ~ sP67 )
                 => ~ sP11 )
             => ~ sP65 )
         => ~ sP92 )
     => ~ ! [X1: $i,X2: $i] :
            ( ~ ( ~ ( eats @ X1 @ X2 )
               => ~ ( bird @ X1 ) )
           => ~ ( caterpillar @ X2 ) ) ),
    introduced(assumption,[]) ).

thf(h12,assumption,
    sP43,
    introduced(assumption,[]) ).

thf(h13,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                         => ~ sP107 )
                                                                     => ~ sP79 )
                                                                 => ~ ! [X1: $i] :
                                                                        ( ~ ( animal @ X1 )
                                                                       => ~ ( caterpillar @ X1 ) ) )
                                                             => ~ sP31 )
                                                         => ~ sP78 )
                                                     => ~ sP2 )
                                                 => ~ sP58 )
                                             => ~ sP109 )
                                         => ~ sP56 )
                                     => ~ sP80 )
                                 => ~ sP99 )
                             => ~ sP100 )
                         => ~ ! [X1: $i,X2: $i] :
                                ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                   => ~ ( caterpillar @ X1 ) )
                               => ~ ( bird @ X2 ) ) )
                     => ~ sP94 )
                 => ~ sP67 )
             => ~ sP11 )
         => ~ sP65 )
     => ~ sP92 ),
    introduced(assumption,[]) ).

thf(h14,assumption,
    ! [X1: $i,X2: $i] :
      ( ~ ( ~ ( eats @ X1 @ X2 )
         => ~ ( bird @ X1 ) )
     => ~ ( caterpillar @ X2 ) ),
    introduced(assumption,[]) ).

thf(h15,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                     => ~ sP107 )
                                                                 => ~ sP79 )
                                                             => ~ ! [X1: $i] :
                                                                    ( ~ ( animal @ X1 )
                                                                   => ~ ( caterpillar @ X1 ) ) )
                                                         => ~ sP31 )
                                                     => ~ sP78 )
                                                 => ~ sP2 )
                                             => ~ sP58 )
                                         => ~ sP109 )
                                     => ~ sP56 )
                                 => ~ sP80 )
                             => ~ sP99 )
                         => ~ sP100 )
                     => ~ ! [X1: $i,X2: $i] :
                            ( ~ ( ~ ( msmaller @ X1 @ X2 )
                               => ~ ( caterpillar @ X1 ) )
                           => ~ ( bird @ X2 ) ) )
                 => ~ sP94 )
             => ~ sP67 )
         => ~ sP11 )
     => ~ sP65 ),
    introduced(assumption,[]) ).

thf(h16,assumption,
    sP92,
    introduced(assumption,[]) ).

thf(h17,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                 => ~ sP107 )
                                                             => ~ sP79 )
                                                         => ~ ! [X1: $i] :
                                                                ( ~ ( animal @ X1 )
                                                               => ~ ( caterpillar @ X1 ) ) )
                                                     => ~ sP31 )
                                                 => ~ sP78 )
                                             => ~ sP2 )
                                         => ~ sP58 )
                                     => ~ sP109 )
                                 => ~ sP56 )
                             => ~ sP80 )
                         => ~ sP99 )
                     => ~ sP100 )
                 => ~ ! [X1: $i,X2: $i] :
                        ( ~ ( ~ ( msmaller @ X1 @ X2 )
                           => ~ ( caterpillar @ X1 ) )
                       => ~ ( bird @ X2 ) ) )
             => ~ sP94 )
         => ~ sP67 )
     => ~ sP11 ),
    introduced(assumption,[]) ).

thf(h18,assumption,
    sP65,
    introduced(assumption,[]) ).

thf(h19,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                             => ~ sP107 )
                                                         => ~ sP79 )
                                                     => ~ ! [X1: $i] :
                                                            ( ~ ( animal @ X1 )
                                                           => ~ ( caterpillar @ X1 ) ) )
                                                 => ~ sP31 )
                                             => ~ sP78 )
                                         => ~ sP2 )
                                     => ~ sP58 )
                                 => ~ sP109 )
                             => ~ sP56 )
                         => ~ sP80 )
                     => ~ sP99 )
                 => ~ sP100 )
             => ~ ! [X1: $i,X2: $i] :
                    ( ~ ( ~ ( msmaller @ X1 @ X2 )
                       => ~ ( caterpillar @ X1 ) )
                   => ~ ( bird @ X2 ) ) )
         => ~ sP94 )
     => ~ sP67 ),
    introduced(assumption,[]) ).

thf(h20,assumption,
    sP11,
    introduced(assumption,[]) ).

thf(h21,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                         => ~ sP107 )
                                                     => ~ sP79 )
                                                 => ~ ! [X1: $i] :
                                                        ( ~ ( animal @ X1 )
                                                       => ~ ( caterpillar @ X1 ) ) )
                                             => ~ sP31 )
                                         => ~ sP78 )
                                     => ~ sP2 )
                                 => ~ sP58 )
                             => ~ sP109 )
                         => ~ sP56 )
                     => ~ sP80 )
                 => ~ sP99 )
             => ~ sP100 )
         => ~ ! [X1: $i,X2: $i] :
                ( ~ ( ~ ( msmaller @ X1 @ X2 )
                   => ~ ( caterpillar @ X1 ) )
               => ~ ( bird @ X2 ) ) )
     => ~ sP94 ),
    introduced(assumption,[]) ).

thf(h22,assumption,
    sP67,
    introduced(assumption,[]) ).

thf(h23,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                     => ~ sP107 )
                                                 => ~ sP79 )
                                             => ~ ! [X1: $i] :
                                                    ( ~ ( animal @ X1 )
                                                   => ~ ( caterpillar @ X1 ) ) )
                                         => ~ sP31 )
                                     => ~ sP78 )
                                 => ~ sP2 )
                             => ~ sP58 )
                         => ~ sP109 )
                     => ~ sP56 )
                 => ~ sP80 )
             => ~ sP99 )
         => ~ sP100 )
     => ~ ! [X1: $i,X2: $i] :
            ( ~ ( ~ ( msmaller @ X1 @ X2 )
               => ~ ( caterpillar @ X1 ) )
           => ~ ( bird @ X2 ) ) ),
    introduced(assumption,[]) ).

thf(h24,assumption,
    sP94,
    introduced(assumption,[]) ).

thf(h25,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                 => ~ sP107 )
                                             => ~ sP79 )
                                         => ~ ! [X1: $i] :
                                                ( ~ ( animal @ X1 )
                                               => ~ ( caterpillar @ X1 ) ) )
                                     => ~ sP31 )
                                 => ~ sP78 )
                             => ~ sP2 )
                         => ~ sP58 )
                     => ~ sP109 )
                 => ~ sP56 )
             => ~ sP80 )
         => ~ sP99 )
     => ~ sP100 ),
    introduced(assumption,[]) ).

thf(h26,assumption,
    ! [X1: $i,X2: $i] :
      ( ~ ( ~ ( msmaller @ X1 @ X2 )
         => ~ ( caterpillar @ X1 ) )
     => ~ ( bird @ X2 ) ),
    introduced(assumption,[]) ).

thf(h27,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                             => ~ sP107 )
                                         => ~ sP79 )
                                     => ~ ! [X1: $i] :
                                            ( ~ ( animal @ X1 )
                                           => ~ ( caterpillar @ X1 ) ) )
                                 => ~ sP31 )
                             => ~ sP78 )
                         => ~ sP2 )
                     => ~ sP58 )
                 => ~ sP109 )
             => ~ sP56 )
         => ~ sP80 )
     => ~ sP99 ),
    introduced(assumption,[]) ).

thf(h28,assumption,
    sP100,
    introduced(assumption,[]) ).

thf(h29,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                         => ~ sP107 )
                                     => ~ sP79 )
                                 => ~ ! [X1: $i] :
                                        ( ~ ( animal @ X1 )
                                       => ~ ( caterpillar @ X1 ) ) )
                             => ~ sP31 )
                         => ~ sP78 )
                     => ~ sP2 )
                 => ~ sP58 )
             => ~ sP109 )
         => ~ sP56 )
     => ~ sP80 ),
    introduced(assumption,[]) ).

thf(h30,assumption,
    sP99,
    introduced(assumption,[]) ).

thf(h31,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                     => ~ sP107 )
                                 => ~ sP79 )
                             => ~ ! [X1: $i] :
                                    ( ~ ( animal @ X1 )
                                   => ~ ( caterpillar @ X1 ) ) )
                         => ~ sP31 )
                     => ~ sP78 )
                 => ~ sP2 )
             => ~ sP58 )
         => ~ sP109 )
     => ~ sP56 ),
    introduced(assumption,[]) ).

thf(h32,assumption,
    sP80,
    introduced(assumption,[]) ).

thf(h33,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                 => ~ sP107 )
                             => ~ sP79 )
                         => ~ ! [X1: $i] :
                                ( ~ ( animal @ X1 )
                               => ~ ( caterpillar @ X1 ) ) )
                     => ~ sP31 )
                 => ~ sP78 )
             => ~ sP2 )
         => ~ sP58 )
     => ~ sP109 ),
    introduced(assumption,[]) ).

thf(h34,assumption,
    sP56,
    introduced(assumption,[]) ).

thf(h35,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                             => ~ sP107 )
                         => ~ sP79 )
                     => ~ ! [X1: $i] :
                            ( ~ ( animal @ X1 )
                           => ~ ( caterpillar @ X1 ) ) )
                 => ~ sP31 )
             => ~ sP78 )
         => ~ sP2 )
     => ~ sP58 ),
    introduced(assumption,[]) ).

thf(h36,assumption,
    sP109,
    introduced(assumption,[]) ).

thf(h37,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                         => ~ sP107 )
                     => ~ sP79 )
                 => ~ ! [X1: $i] :
                        ( ~ ( animal @ X1 )
                       => ~ ( caterpillar @ X1 ) ) )
             => ~ sP31 )
         => ~ sP78 )
     => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h38,assumption,
    sP58,
    introduced(assumption,[]) ).

thf(h39,assumption,
    ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                     => ~ sP107 )
                 => ~ sP79 )
             => ~ ! [X1: $i] :
                    ( ~ ( animal @ X1 )
                   => ~ ( caterpillar @ X1 ) ) )
         => ~ sP31 )
     => ~ sP78 ),
    introduced(assumption,[]) ).

thf(h40,assumption,
    sP2,
    introduced(assumption,[]) ).

thf(h41,assumption,
    ~ ( ~ ( ~ ( ~ ( sP68
                 => ~ sP107 )
             => ~ sP79 )
         => ~ ! [X1: $i] :
                ( ~ ( animal @ X1 )
               => ~ ( caterpillar @ X1 ) ) )
     => ~ sP31 ),
    introduced(assumption,[]) ).

thf(h42,assumption,
    sP78,
    introduced(assumption,[]) ).

thf(h43,assumption,
    ~ ( ~ ( ~ ( sP68
             => ~ sP107 )
         => ~ sP79 )
     => ~ ! [X1: $i] :
            ( ~ ( animal @ X1 )
           => ~ ( caterpillar @ X1 ) ) ),
    introduced(assumption,[]) ).

thf(h44,assumption,
    sP31,
    introduced(assumption,[]) ).

thf(h45,assumption,
    ~ ( ~ ( sP68
         => ~ sP107 )
     => ~ sP79 ),
    introduced(assumption,[]) ).

thf(h46,assumption,
    ! [X1: $i] :
      ( ~ ( animal @ X1 )
     => ~ ( caterpillar @ X1 ) ),
    introduced(assumption,[]) ).

thf(h47,assumption,
    ~ ( sP68
     => ~ sP107 ),
    introduced(assumption,[]) ).

thf(h48,assumption,
    sP79,
    introduced(assumption,[]) ).

thf(h49,assumption,
    sP68,
    introduced(assumption,[]) ).

thf(h50,assumption,
    sP107,
    introduced(assumption,[]) ).

thf(1,plain,
    ( ~ sP5
    | sP30 ),
    inference(all_rule,[status(thm)],[]) ).

thf(2,plain,
    ( ~ sP30
    | sP61
    | ~ sP77 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(3,plain,
    ( ~ sP61
    | sP15
    | ~ sP14 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(4,plain,
    ( ~ sP15
    | sP110
    | ~ sP80 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(5,plain,
    ( ~ sP86
    | sP19 ),
    inference(all_rule,[status(thm)],[]) ).

thf(6,plain,
    ( ~ sP19
    | sP5 ),
    inference(all_rule,[status(thm)],[]) ).

thf(7,plain,
    ( ~ sP110
    | ~ sP34
    | ~ sP24 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(8,plain,
    ( ~ sP106
    | sP76 ),
    inference(all_rule,[status(thm)],[]) ).

thf(9,plain,
    ( ~ sP76
    | sP41 ),
    inference(all_rule,[status(thm)],[]) ).

thf(10,plain,
    ( ~ sP41
    | sP48 ),
    inference(all_rule,[status(thm)],[]) ).

thf(11,plain,
    ( ~ sP48
    | sP45
    | ~ sP103 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(12,plain,
    ( ~ sP45
    | sP87
    | ~ sP40 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(13,plain,
    ( ~ sP87
    | sP69
    | ~ sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(14,plain,
    ( ~ sP69
    | sP47
    | ~ sP34 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(15,plain,
    ( ~ sP47
    | sP98
    | ~ sP42 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(16,plain,
    ( ~ sP98
    | sP82
    | ~ sP85 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(17,plain,
    ( ~ sP82
    | sP25
    | sP73 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(18,plain,
    ( ~ sP100
    | sP106 ),
    inference(all_rule,[status(thm)],[]) ).

thf(19,plain,
    ( ~ sP16
    | sP32 ),
    inference(all_rule,[status(thm)],[]) ).

thf(20,plain,
    ( ~ sP32
    | sP59
    | ~ sP60 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(21,plain,
    ( ~ sP59
    | sP3
    | ~ sP27 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(22,plain,
    ( ~ sP3
    | sP91
    | ~ sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(23,plain,
    ( ~ sP100
    | sP111 ),
    inference(all_rule,[status(thm)],[]) ).

thf(24,plain,
    ( ~ sP111
    | sP29 ),
    inference(all_rule,[status(thm)],[]) ).

thf(25,plain,
    ( ~ sP29
    | sP16 ),
    inference(all_rule,[status(thm)],[]) ).

thf(26,plain,
    ( ~ sP91
    | sP10
    | ~ sP24 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(27,plain,
    ( ~ sP10
    | sP28
    | ~ sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(28,plain,
    ( ~ sP28
    | sP84
    | ~ sP34 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(29,plain,
    ( ~ sP84
    | sP103
    | sP14 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(30,plain,
    ( ~ sP20
    | sP96 ),
    inference(all_rule,[status(thm)],[]) ).

thf(31,plain,
    ( ~ sP96
    | sP53
    | ~ sP95 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(32,plain,
    ( ~ sP53
    | sP55
    | ~ sP105 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(33,plain,
    ( ~ sP55
    | sP70
    | ~ sP4 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(34,plain,
    ( ~ sP63
    | sP20 ),
    inference(all_rule,[status(thm)],[]) ).

thf(35,plain,
    ( ~ sP70
    | sP39
    | ~ sP93 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(36,plain,
    ( ~ sP39
    | sP37
    | ~ sP42 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(37,plain,
    ( ~ sP37
    | sP8
    | ~ sP24 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(38,plain,
    ( ~ sP8
    | sP77
    | sP90 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(39,plain,
    ( ~ sP21
    | sP13 ),
    inference(all_rule,[status(thm)],[]) ).

thf(40,plain,
    ( ~ sP13
    | sP12
    | ~ sP95 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(41,plain,
    ( ~ sP12
    | sP74
    | ~ sP105 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(42,plain,
    ( ~ sP74
    | sP54
    | ~ sP4 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(43,plain,
    ( ~ sP44
    | sP21 ),
    inference(all_rule,[status(thm)],[]) ).

thf(44,plain,
    ( ~ sP54
    | sP66
    | ~ sP93 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(45,plain,
    ( ~ sP66
    | sP9
    | ~ sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(46,plain,
    ( ~ sP9
    | sP46
    | ~ sP24 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(47,plain,
    ( ~ sP46
    | sP60
    | sP90 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(48,plain,
    ( ~ sP72
    | sP63 ),
    inference(all_rule,[status(thm)],[]) ).

thf(49,plain,
    ( ~ sP100
    | sP72 ),
    inference(all_rule,[status(thm)],[]) ).

thf(50,plain,
    ( ~ sP72
    | sP44 ),
    inference(all_rule,[status(thm)],[]) ).

thf(51,plain,
    ( ~ sP68
    | sP88 ),
    inference(all_rule,[status(thm)],[]) ).

thf(52,plain,
    ( ~ sP88
    | sP85
    | ~ sP78 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(53,plain,
    ( ~ sP107
    | sP75 ),
    inference(all_rule,[status(thm)],[]) ).

thf(54,plain,
    ( ~ sP75
    | sP34
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(55,plain,
    ( ~ sP79
    | sP36 ),
    inference(all_rule,[status(thm)],[]) ).

thf(56,plain,
    ( ~ sP36
    | sP24
    | ~ sP58 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(57,plain,
    ( ~ sP31
    | sP83 ),
    inference(all_rule,[status(thm)],[]) ).

thf(58,plain,
    ( ~ sP83
    | sP93
    | ~ sP56 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(59,plain,
    ( ~ sP92
    | sP71 ),
    inference(all_rule,[status(thm)],[]) ).

thf(60,plain,
    ( ~ sP71
    | sP52 ),
    inference(all_rule,[status(thm)],[]) ).

thf(61,plain,
    ( ~ sP52
    | sP6
    | ~ sP25 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(62,plain,
    ( ~ sP6
    | ~ sP78
    | ~ sP80 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(63,plain,
    ( ~ sP11
    | sP17 ),
    inference(all_rule,[status(thm)],[]) ).

thf(64,plain,
    ( ~ sP17
    | sP64 ),
    inference(all_rule,[status(thm)],[]) ).

thf(65,plain,
    ( ~ sP64
    | sP102
    | ~ sP78 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(66,plain,
    ( ~ sP102
    | sP40
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(67,plain,
    ( ~ sP65
    | sP50 ),
    inference(all_rule,[status(thm)],[]) ).

thf(68,plain,
    ( ~ sP50
    | sP49 ),
    inference(all_rule,[status(thm)],[]) ).

thf(69,plain,
    ( ~ sP49
    | sP38
    | ~ sP73 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(70,plain,
    ( ~ sP38
    | ~ sP78
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(71,plain,
    ( ~ sP67
    | sP97 ),
    inference(all_rule,[status(thm)],[]) ).

thf(72,plain,
    ( ~ sP97
    | sP51 ),
    inference(all_rule,[status(thm)],[]) ).

thf(73,plain,
    ( ~ sP51
    | sP89
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(74,plain,
    ( ~ sP89
    | sP27
    | ~ sP58 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(75,plain,
    ( ~ sP94
    | sP104 ),
    inference(all_rule,[status(thm)],[]) ).

thf(76,plain,
    ( ~ sP104
    | sP62 ),
    inference(all_rule,[status(thm)],[]) ).

thf(77,plain,
    ( ~ sP62
    | sP108
    | ~ sP58 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(78,plain,
    ( ~ sP108
    | sP105
    | ~ sP56 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(79,plain,
    ( ~ sP43
    | sP33 ),
    inference(all_rule,[status(thm)],[]) ).

thf(80,plain,
    ( ~ sP33
    | sP23 ),
    inference(all_rule,[status(thm)],[]) ).

thf(81,plain,
    ( ~ sP23
    | sP7
    | ~ sP90 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(82,plain,
    ( ~ sP7
    | ~ sP58
    | ~ sP56 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(83,plain,
    ( ~ sP22
    | sP35 ),
    inference(all_rule,[status(thm)],[]) ).

thf(84,plain,
    ( ~ sP35
    | sP18
    | ~ sP109 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(85,plain,
    ( ~ sP1
    | sP57 ),
    inference(all_rule,[status(thm)],[]) ).

thf(86,plain,
    ( ~ sP57
    | sP95
    | ~ sP56 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(87,plain,
    ( ~ sP81
    | sP101 ),
    inference(all_rule,[status(thm)],[]) ).

thf(88,plain,
    ( ~ sP101
    | sP4
    | ~ sP56 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(89,plain,
    ( ~ sP99
    | sP26 ),
    inference(all_rule,[status(thm)],[]) ).

thf(90,plain,
    ( ~ sP26
    | sP42
    | ~ sP80 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(91,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h49,h50,h47,h48,h45,h46,h43,h44,h41,h42,h39,h40,h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,h49,h50,h48,h44,h42,h40,h38,h36,h34,h32,h30,h28,h24,h22,h20,h18,h16,h12,h10,h6,h4,h2]) ).

thf(92,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h47,h48,h45,h46,h43,h44,h41,h42,h39,h40,h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h49,h50])],[h47,91,h49,h50]) ).

thf(93,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h45,h46,h43,h44,h41,h42,h39,h40,h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h47,h48])],[h45,92,h47,h48]) ).

thf(94,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h43,h44,h41,h42,h39,h40,h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h45,h46])],[h43,93,h45,h46]) ).

thf(95,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h41,h42,h39,h40,h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h43,h44])],[h41,94,h43,h44]) ).

thf(96,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h39,h40,h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h41,h42])],[h39,95,h41,h42]) ).

thf(97,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h37,h38,h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h39,h40])],[h37,96,h39,h40]) ).

thf(98,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h35,h36,h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h37,h38])],[h35,97,h37,h38]) ).

thf(99,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h33,h34,h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h35,h36])],[h33,98,h35,h36]) ).

thf(100,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h31,h32,h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h33,h34])],[h31,99,h33,h34]) ).

thf(101,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h29,h30,h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h31,h32])],[h29,100,h31,h32]) ).

thf(102,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h27,h28,h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h29,h30])],[h27,101,h29,h30]) ).

thf(103,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h25,h26,h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h27,h28])],[h25,102,h27,h28]) ).

thf(104,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h25,h26])],[h23,103,h25,h26]) ).

thf(105,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h21,104,h23,h24]) ).

thf(106,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h19,105,h21,h22]) ).

thf(107,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,106,h19,h20]) ).

thf(108,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,107,h17,h18]) ).

thf(109,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h13,108,h15,h16]) ).

thf(110,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,109,h13,h14]) ).

thf(111,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,110,h11,h12]) ).

thf(112,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,111,h9,h10]) ).

thf(113,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,112,h7,h8]) ).

thf(114,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,113,h5,h6]) ).

thf(115,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,114,h3,h4]) ).

thf(116,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,115,h1,h2]) ).

thf(0,theorem,
    ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP68
                                                                                                   => ~ sP107 )
                                                                                               => ~ sP79 )
                                                                                           => ~ ! [X1: $i] :
                                                                                                  ( ~ ( animal @ X1 )
                                                                                                 => ~ ( caterpillar @ X1 ) ) )
                                                                                       => ~ sP31 )
                                                                                   => ~ sP78 )
                                                                               => ~ sP2 )
                                                                           => ~ sP58 )
                                                                       => ~ sP109 )
                                                                   => ~ sP56 )
                                                               => ~ sP80 )
                                                           => ~ sP99 )
                                                       => ~ sP100 )
                                                   => ~ ! [X1: $i,X2: $i] :
                                                          ( ~ ( ~ ( msmaller @ X1 @ X2 )
                                                             => ~ ( caterpillar @ X1 ) )
                                                         => ~ ( bird @ X2 ) ) )
                                               => ~ sP94 )
                                           => ~ sP67 )
                                       => ~ sP11 )
                                   => ~ sP65 )
                               => ~ sP92 )
                           => ~ ! [X1: $i,X2: $i] :
                                  ( ~ ( ~ ( eats @ X1 @ X2 )
                                     => ~ ( bird @ X1 ) )
                                 => ~ ( caterpillar @ X2 ) ) )
                       => ~ sP43 )
                   => ~ sP22 )
               => ~ ! [X1: $i] :
                      ( ~ ( eats @ X1 @ ( cf @ X1 ) )
                     => ~ ( caterpillar @ X1 ) ) )
           => ~ sP81 )
       => ~ sP1 )
   => ~ sP86 ),
    inference(contra,[status(thm),contra(discharge,[h0])],[116,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : PUZ031^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  8 17:25:38 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.94/1.19  % SZS status Theorem
% 0.94/1.19  % Mode: mode213
% 0.94/1.19  % Inferences: 70
% 0.94/1.19  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------