TSTP Solution File: PUZ031+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n019.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  : 600s
% DateTime : Mon Jul 18 18:19:20 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  238 ( 118 unt;  18 typ;   0 def)
%            Number of atoms       : 1509 ( 384 equ;   0 cnn)
%            Maximal formula atoms :    8 (   6 avg)
%            Number of connectives : 1956 ( 407   ~; 443   |;  46   &;1028   @)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :  414 (   0   ^ 386   !;  28   ?; 414   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_animal,type,
    animal: $i > $o ).

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

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

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

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

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

thf(tp_much_smaller,type,
    much_smaller: $i > $i > $o ).

thf(tp_plant,type,
    plant: $i > $o ).

thf(tp_sK1_Y,type,
    sK1_Y: $i > $i ).

thf(tp_sK2_Y,type,
    sK2_Y: $i > $i ).

thf(tp_sK3_X,type,
    sK3_X: $i ).

thf(tp_sK4_X1,type,
    sK4_X1: $i ).

thf(tp_sK5_X1,type,
    sK5_X1: $i ).

thf(tp_sK6_X1,type,
    sK6_X1: $i ).

thf(tp_sK7_X1,type,
    sK7_X1: $i ).

thf(tp_sK8_X1,type,
    sK8_X1: $i ).

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

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

thf(1,axiom,
    ! [X: $i] :
      ( ( ( caterpillar @ X )
        | ( snail @ X ) )
     => ? [Y: $i] :
          ( ( plant @ Y )
          & ( eats @ X @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).

thf(2,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( bird @ X )
        & ( snail @ Y ) )
     => ~ ( eats @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).

thf(3,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( bird @ X )
        & ( caterpillar @ Y ) )
     => ( eats @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_12) ).

thf(4,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( wolf @ X )
        & ( ( fox @ Y )
          | ( grain @ Y ) ) )
     => ~ ( eats @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).

thf(5,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( fox @ X )
        & ( wolf @ Y ) )
     => ( much_smaller @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).

thf(6,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( bird @ X )
        & ( fox @ Y ) )
     => ( much_smaller @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).

thf(7,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( bird @ Y )
        & ( ( snail @ X )
          | ( caterpillar @ X ) ) )
     => ( much_smaller @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).

thf(8,axiom,
    ! [X: $i] :
      ( ( animal @ X )
     => ( ! [Y: $i] :
            ( ( plant @ Y )
           => ( eats @ X @ Y ) )
        | ! [Y1: $i] :
            ( ( ( animal @ Y1 )
              & ( much_smaller @ Y1 @ X )
              & ? [Z: $i] :
                  ( ( plant @ Z )
                  & ( eats @ Y1 @ Z ) ) )
           => ( eats @ X @ Y1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).

thf(9,axiom,
    ! [X1: $i] :
      ( ( grain @ X1 )
     => ( plant @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).

thf(10,axiom,
    ? [X: $i] : ( grain @ X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_1) ).

thf(11,axiom,
    ? [X1: $i] : ( snail @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_2) ).

thf(12,axiom,
    ! [X: $i] :
      ( ( snail @ X )
     => ( animal @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_1) ).

thf(13,axiom,
    ? [X1: $i] : ( caterpillar @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).

thf(14,axiom,
    ! [X: $i] :
      ( ( caterpillar @ X )
     => ( animal @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_1) ).

thf(15,axiom,
    ? [X1: $i] : ( bird @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_2) ).

thf(16,axiom,
    ! [X: $i] :
      ( ( bird @ X )
     => ( animal @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).

thf(17,axiom,
    ? [X1: $i] : ( fox @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_2) ).

thf(18,axiom,
    ! [X: $i] :
      ( ( fox @ X )
     => ( animal @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).

thf(19,axiom,
    ? [X1: $i] : ( wolf @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_2) ).

thf(20,axiom,
    ! [X: $i] :
      ( ( wolf @ X )
     => ( animal @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).

thf(21,conjecture,
    ? [X: $i,Y: $i] :
      ( ( animal @ X )
      & ( animal @ Y )
      & ? [Z: $i] :
          ( ( grain @ Z )
          & ( eats @ Y @ Z )
          & ( eats @ X @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).

thf(22,negated_conjecture,
    ( ( ? [X: $i,Y: $i] :
          ( ( animal @ X )
          & ( animal @ Y )
          & ? [Z: $i] :
              ( ( grain @ Z )
              & ( eats @ Y @ Z )
              & ( eats @ X @ Y ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[21]) ).

thf(23,plain,
    ( ( ? [X: $i,Y: $i] :
          ( ( animal @ X )
          & ( animal @ Y )
          & ? [Z: $i] :
              ( ( grain @ Z )
              & ( eats @ Y @ Z )
              & ( eats @ X @ Y ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(24,plain,
    ( ( ! [X: $i] :
          ( ( ( caterpillar @ X )
            | ( snail @ X ) )
         => ? [Y: $i] :
              ( ( plant @ Y )
              & ( eats @ X @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(25,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( bird @ X )
            & ( snail @ Y ) )
         => ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(26,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( bird @ X )
            & ( caterpillar @ Y ) )
         => ( eats @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(27,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( wolf @ X )
            & ( ( fox @ Y )
              | ( grain @ Y ) ) )
         => ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(28,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( fox @ X )
            & ( wolf @ Y ) )
         => ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(29,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( bird @ X )
            & ( fox @ Y ) )
         => ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(30,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( bird @ Y )
            & ( ( snail @ X )
              | ( caterpillar @ X ) ) )
         => ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(31,plain,
    ( ( ! [X: $i] :
          ( ( animal @ X )
         => ( ! [Y: $i] :
                ( ( plant @ Y )
               => ( eats @ X @ Y ) )
            | ! [Y1: $i] :
                ( ( ( animal @ Y1 )
                  & ( much_smaller @ Y1 @ X )
                  & ? [Z: $i] :
                      ( ( plant @ Z )
                      & ( eats @ Y1 @ Z ) ) )
               => ( eats @ X @ Y1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(32,plain,
    ( ( ! [X1: $i] :
          ( ( grain @ X1 )
         => ( plant @ X1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(33,plain,
    ( ( ? [X: $i] : ( grain @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(34,plain,
    ( ( ? [X1: $i] : ( snail @ X1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ( ( snail @ X )
         => ( animal @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(36,plain,
    ( ( ? [X1: $i] : ( caterpillar @ X1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(37,plain,
    ( ( ! [X: $i] :
          ( ( caterpillar @ X )
         => ( animal @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(38,plain,
    ( ( ? [X1: $i] : ( bird @ X1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(39,plain,
    ( ( ! [X: $i] :
          ( ( bird @ X )
         => ( animal @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(40,plain,
    ( ( ? [X1: $i] : ( fox @ X1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(41,plain,
    ( ( ! [X: $i] :
          ( ( fox @ X )
         => ( animal @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(42,plain,
    ( ( ? [X1: $i] : ( wolf @ X1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(43,plain,
    ( ( ! [X: $i] :
          ( ( wolf @ X )
         => ( animal @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(44,plain,
    ( ( ~ ? [X: $i,Y: $i] :
            ( ( animal @ X )
            & ( animal @ Y )
            & ? [Z: $i] :
                ( ( grain @ Z )
                & ( eats @ Y @ Z )
                & ( eats @ X @ Y ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[23]) ).

thf(45,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( animal @ X )
          | ~ ( animal @ Y )
          | ! [Z: $i] :
              ( ~ ( eats @ Y @ Z )
              | ~ ( grain @ Z ) )
          | ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[44]) ).

thf(46,plain,
    ( ( ! [X: $i] :
          ( ~ ( caterpillar @ X )
          | ( ( eats @ X @ ( sK2_Y @ X ) )
            & ( plant @ ( sK2_Y @ X ) ) ) )
      & ! [X: $i] :
          ( ~ ( snail @ X )
          | ( ( eats @ X @ ( sK1_Y @ X ) )
            & ( plant @ ( sK1_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(47,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ X )
          | ~ ( snail @ Y )
          | ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(48,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ X )
          | ~ ( caterpillar @ Y )
          | ( eats @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[26]) ).

thf(49,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( wolf @ X )
          | ~ ( fox @ Y )
          | ~ ( eats @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( wolf @ X )
          | ~ ( grain @ Y )
          | ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(50,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( fox @ X )
          | ~ ( wolf @ Y )
          | ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(51,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ X )
          | ~ ( fox @ Y )
          | ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[29]) ).

thf(52,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ Y )
          | ~ ( caterpillar @ X )
          | ( much_smaller @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( bird @ Y )
          | ~ ( snail @ X )
          | ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[30]) ).

thf(53,plain,
    ( ( ! [X: $i] :
          ( ~ ( animal @ X )
          | ! [Y: $i] :
              ( ~ ( plant @ Y )
              | ( eats @ X @ Y ) )
          | ! [Y1: $i] :
              ( ~ ( animal @ Y1 )
              | ~ ( much_smaller @ Y1 @ X )
              | ! [Z: $i] :
                  ( ~ ( eats @ Y1 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ X @ Y1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[31]) ).

thf(54,plain,
    ( ( ! [X1: $i] :
          ( ~ ( grain @ X1 )
          | ( plant @ X1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[32]) ).

thf(55,plain,
    ( ( grain @ sK3_X )
    = $true ),
    inference(extcnf_combined,[status(esa)],[33]) ).

thf(56,plain,
    ( ( snail @ sK4_X1 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[34]) ).

thf(57,plain,
    ( ( ! [X: $i] :
          ( ~ ( snail @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[35]) ).

thf(58,plain,
    ( ( caterpillar @ sK5_X1 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[36]) ).

thf(59,plain,
    ( ( ! [X: $i] :
          ( ~ ( caterpillar @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[37]) ).

thf(60,plain,
    ( ( bird @ sK6_X1 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[38]) ).

thf(61,plain,
    ( ( ! [X: $i] :
          ( ~ ( bird @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[39]) ).

thf(62,plain,
    ( ( fox @ sK7_X1 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[40]) ).

thf(63,plain,
    ( ( ! [X: $i] :
          ( ~ ( fox @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[41]) ).

thf(64,plain,
    ( ( wolf @ sK8_X1 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[42]) ).

thf(65,plain,
    ( ( ! [X: $i] :
          ( ~ ( wolf @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[43]) ).

thf(66,plain,
    ( ( ! [X: $i] :
          ( ~ ( wolf @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(67,plain,
    ( ( wolf @ sK8_X1 )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(68,plain,
    ( ( ! [X: $i] :
          ( ~ ( fox @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(69,plain,
    ( ( fox @ sK7_X1 )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(70,plain,
    ( ( ! [X: $i] :
          ( ~ ( bird @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(71,plain,
    ( ( bird @ sK6_X1 )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(72,plain,
    ( ( ! [X: $i] :
          ( ~ ( caterpillar @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(73,plain,
    ( ( caterpillar @ sK5_X1 )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(74,plain,
    ( ( ! [X: $i] :
          ( ~ ( snail @ X )
          | ( animal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(75,plain,
    ( ( snail @ sK4_X1 )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(76,plain,
    ( ( grain @ sK3_X )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(77,plain,
    ( ( ! [X1: $i] :
          ( ~ ( grain @ X1 )
          | ( plant @ X1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(78,plain,
    ( ( ! [X: $i] :
          ( ~ ( animal @ X )
          | ! [Y: $i] :
              ( ~ ( plant @ Y )
              | ( eats @ X @ Y ) )
          | ! [Y1: $i] :
              ( ~ ( animal @ Y1 )
              | ~ ( much_smaller @ Y1 @ X )
              | ! [Z: $i] :
                  ( ~ ( eats @ Y1 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ X @ Y1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(79,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ Y )
          | ~ ( caterpillar @ X )
          | ( much_smaller @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( bird @ Y )
          | ~ ( snail @ X )
          | ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(80,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ X )
          | ~ ( fox @ Y )
          | ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(81,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( fox @ X )
          | ~ ( wolf @ Y )
          | ( much_smaller @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(82,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( wolf @ X )
          | ~ ( fox @ Y )
          | ~ ( eats @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( wolf @ X )
          | ~ ( grain @ Y )
          | ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(83,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ X )
          | ~ ( caterpillar @ Y )
          | ( eats @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(84,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( bird @ X )
          | ~ ( snail @ Y )
          | ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(85,plain,
    ( ( ! [X: $i] :
          ( ~ ( caterpillar @ X )
          | ( ( eats @ X @ ( sK2_Y @ X ) )
            & ( plant @ ( sK2_Y @ X ) ) ) )
      & ! [X: $i] :
          ( ~ ( snail @ X )
          | ( ( eats @ X @ ( sK1_Y @ X ) )
            & ( plant @ ( sK1_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(86,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( animal @ X )
          | ~ ( animal @ Y )
          | ! [Z: $i] :
              ( ~ ( eats @ Y @ Z )
              | ~ ( grain @ Z ) )
          | ~ ( eats @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(87,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( caterpillar @ SX0 )
                | ~ ( ~ ( eats @ SX0 @ ( sK2_Y @ SX0 ) )
                    | ~ ( plant @ ( sK2_Y @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( snail @ SX0 )
                | ~ ( ~ ( eats @ SX0 @ ( sK1_Y @ SX0 ) )
                    | ~ ( plant @ ( sK1_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(88,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( bird @ SX1 )
                | ~ ( caterpillar @ SX0 )
                | ( much_smaller @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( bird @ SX1 )
                | ~ ( snail @ SX0 )
                | ( much_smaller @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(89,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( wolf @ SX0 )
                | ~ ( fox @ SX1 )
                | ~ ( eats @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( wolf @ SX0 )
                | ~ ( grain @ SX1 )
                | ~ ( eats @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(90,plain,
    ! [SV1: $i] :
      ( ( ~ ( wolf @ SV1 )
        | ( animal @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(91,plain,
    ! [SV2: $i] :
      ( ( ~ ( fox @ SV2 )
        | ( animal @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(92,plain,
    ! [SV3: $i] :
      ( ( ~ ( bird @ SV3 )
        | ( animal @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[70]) ).

thf(93,plain,
    ! [SV4: $i] :
      ( ( ~ ( caterpillar @ SV4 )
        | ( animal @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[72]) ).

thf(94,plain,
    ! [SV5: $i] :
      ( ( ~ ( snail @ SV5 )
        | ( animal @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(95,plain,
    ! [SV6: $i] :
      ( ( ~ ( grain @ SV6 )
        | ( plant @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(96,plain,
    ! [SV7: $i] :
      ( ( ~ ( animal @ SV7 )
        | ! [SY33: $i] :
            ( ~ ( plant @ SY33 )
            | ( eats @ SV7 @ SY33 ) )
        | ! [SY34: $i] :
            ( ~ ( animal @ SY34 )
            | ~ ( much_smaller @ SY34 @ SV7 )
            | ! [Z: $i] :
                ( ~ ( eats @ SY34 @ Z )
                | ~ ( plant @ Z ) )
            | ( eats @ SV7 @ SY34 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[78]) ).

thf(97,plain,
    ! [SV8: $i] :
      ( ( ! [SY36: $i] :
            ( ~ ( bird @ SV8 )
            | ~ ( fox @ SY36 )
            | ( much_smaller @ SV8 @ SY36 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[80]) ).

thf(98,plain,
    ! [SV9: $i] :
      ( ( ! [SY37: $i] :
            ( ~ ( fox @ SV9 )
            | ~ ( wolf @ SY37 )
            | ( much_smaller @ SV9 @ SY37 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[81]) ).

thf(99,plain,
    ! [SV10: $i] :
      ( ( ! [SY38: $i] :
            ( ~ ( bird @ SV10 )
            | ~ ( caterpillar @ SY38 )
            | ( eats @ SV10 @ SY38 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(100,plain,
    ! [SV11: $i] :
      ( ( ! [SY39: $i] :
            ( ~ ( bird @ SV11 )
            | ~ ( snail @ SY39 )
            | ~ ( eats @ SV11 @ SY39 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(101,plain,
    ! [SV12: $i] :
      ( ( ! [SY40: $i] :
            ( ~ ( animal @ SV12 )
            | ~ ( animal @ SY40 )
            | ! [Z: $i] :
                ( ~ ( eats @ SY40 @ Z )
                | ~ ( grain @ Z ) )
            | ~ ( eats @ SV12 @ SY40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(102,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( caterpillar @ SX0 )
            | ~ ( ~ ( eats @ SX0 @ ( sK2_Y @ SX0 ) )
                | ~ ( plant @ ( sK2_Y @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( snail @ SX0 )
            | ~ ( ~ ( eats @ SX0 @ ( sK1_Y @ SX0 ) )
                | ~ ( plant @ ( sK1_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(103,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( bird @ SX1 )
            | ~ ( caterpillar @ SX0 )
            | ( much_smaller @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( bird @ SX1 )
            | ~ ( snail @ SX0 )
            | ( much_smaller @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(104,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( wolf @ SX0 )
            | ~ ( fox @ SX1 )
            | ~ ( eats @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( wolf @ SX0 )
            | ~ ( grain @ SX1 )
            | ~ ( eats @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(105,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( wolf @ SV1 ) )
        = $true )
      | ( ( animal @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(106,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( fox @ SV2 ) )
        = $true )
      | ( ( animal @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(107,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( bird @ SV3 ) )
        = $true )
      | ( ( animal @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(108,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( caterpillar @ SV4 ) )
        = $true )
      | ( ( animal @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[93]) ).

thf(109,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( snail @ SV5 ) )
        = $true )
      | ( ( animal @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(110,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( grain @ SV6 ) )
        = $true )
      | ( ( plant @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(111,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( animal @ SV7 ) )
        = $true )
      | ( ( ! [SY33: $i] :
              ( ~ ( plant @ SY33 )
              | ( eats @ SV7 @ SY33 ) )
          | ! [SY34: $i] :
              ( ~ ( animal @ SY34 )
              | ~ ( much_smaller @ SY34 @ SV7 )
              | ! [Z: $i] :
                  ( ~ ( eats @ SY34 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ SV7 @ SY34 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(112,plain,
    ! [SV13: $i,SV8: $i] :
      ( ( ~ ( bird @ SV8 )
        | ~ ( fox @ SV13 )
        | ( much_smaller @ SV8 @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(113,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ~ ( fox @ SV9 )
        | ~ ( wolf @ SV14 )
        | ( much_smaller @ SV9 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(114,plain,
    ! [SV15: $i,SV10: $i] :
      ( ( ~ ( bird @ SV10 )
        | ~ ( caterpillar @ SV15 )
        | ( eats @ SV10 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(115,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ~ ( bird @ SV11 )
        | ~ ( snail @ SV16 )
        | ~ ( eats @ SV11 @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(116,plain,
    ! [SV17: $i,SV12: $i] :
      ( ( ~ ( animal @ SV12 )
        | ~ ( animal @ SV17 )
        | ! [SY42: $i] :
            ( ~ ( eats @ SV17 @ SY42 )
            | ~ ( grain @ SY42 ) )
        | ~ ( eats @ SV12 @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(117,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( caterpillar @ SX0 )
            | ~ ( ~ ( eats @ SX0 @ ( sK2_Y @ SX0 ) )
                | ~ ( plant @ ( sK2_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[102]) ).

thf(118,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( snail @ SX0 )
            | ~ ( ~ ( eats @ SX0 @ ( sK1_Y @ SX0 ) )
                | ~ ( plant @ ( sK1_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[102]) ).

thf(119,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( bird @ SX1 )
            | ~ ( caterpillar @ SX0 )
            | ( much_smaller @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(120,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( bird @ SX1 )
            | ~ ( snail @ SX0 )
            | ( much_smaller @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(121,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( wolf @ SX0 )
            | ~ ( fox @ SX1 )
            | ~ ( eats @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(122,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( wolf @ SX0 )
            | ~ ( grain @ SX1 )
            | ~ ( eats @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(123,plain,
    ! [SV1: $i] :
      ( ( ( wolf @ SV1 )
        = $false )
      | ( ( animal @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(124,plain,
    ! [SV2: $i] :
      ( ( ( fox @ SV2 )
        = $false )
      | ( ( animal @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(125,plain,
    ! [SV3: $i] :
      ( ( ( bird @ SV3 )
        = $false )
      | ( ( animal @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(126,plain,
    ! [SV4: $i] :
      ( ( ( caterpillar @ SV4 )
        = $false )
      | ( ( animal @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(127,plain,
    ! [SV5: $i] :
      ( ( ( snail @ SV5 )
        = $false )
      | ( ( animal @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(128,plain,
    ! [SV6: $i] :
      ( ( ( grain @ SV6 )
        = $false )
      | ( ( plant @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(129,plain,
    ! [SV7: $i] :
      ( ( ( animal @ SV7 )
        = $false )
      | ( ( ! [SY33: $i] :
              ( ~ ( plant @ SY33 )
              | ( eats @ SV7 @ SY33 ) )
          | ! [SY34: $i] :
              ( ~ ( animal @ SY34 )
              | ~ ( much_smaller @ SY34 @ SV7 )
              | ! [Z: $i] :
                  ( ~ ( eats @ SY34 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ SV7 @ SY34 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[111]) ).

thf(130,plain,
    ! [SV13: $i,SV8: $i] :
      ( ( ( ~ ( bird @ SV8 )
          | ~ ( fox @ SV13 ) )
        = $true )
      | ( ( much_smaller @ SV8 @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[112]) ).

thf(131,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ( ~ ( fox @ SV9 )
          | ~ ( wolf @ SV14 ) )
        = $true )
      | ( ( much_smaller @ SV9 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[113]) ).

thf(132,plain,
    ! [SV15: $i,SV10: $i] :
      ( ( ( ~ ( bird @ SV10 )
          | ~ ( caterpillar @ SV15 ) )
        = $true )
      | ( ( eats @ SV10 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[114]) ).

thf(133,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( ~ ( bird @ SV11 )
          | ~ ( snail @ SV16 ) )
        = $true )
      | ( ( ~ ( eats @ SV11 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[115]) ).

thf(134,plain,
    ! [SV17: $i,SV12: $i] :
      ( ( ( ~ ( animal @ SV12 )
          | ~ ( animal @ SV17 ) )
        = $true )
      | ( ( ! [SY42: $i] :
              ( ~ ( eats @ SV17 @ SY42 )
              | ~ ( grain @ SY42 ) )
          | ~ ( eats @ SV12 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[116]) ).

thf(135,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( caterpillar @ SX0 )
          | ~ ( ~ ( eats @ SX0 @ ( sK2_Y @ SX0 ) )
              | ~ ( plant @ ( sK2_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(136,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( snail @ SX0 )
          | ~ ( ~ ( eats @ SX0 @ ( sK1_Y @ SX0 ) )
              | ~ ( plant @ ( sK1_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[118]) ).

thf(137,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( bird @ SX1 )
          | ~ ( caterpillar @ SX0 )
          | ( much_smaller @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[119]) ).

thf(138,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( bird @ SX1 )
          | ~ ( snail @ SX0 )
          | ( much_smaller @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[120]) ).

thf(139,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( wolf @ SX0 )
          | ~ ( fox @ SX1 )
          | ~ ( eats @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[121]) ).

thf(140,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( wolf @ SX0 )
          | ~ ( grain @ SX1 )
          | ~ ( eats @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(141,plain,
    ! [SV7: $i] :
      ( ( ( ! [SY33: $i] :
              ( ~ ( plant @ SY33 )
              | ( eats @ SV7 @ SY33 ) ) )
        = $true )
      | ( ( ! [SY34: $i] :
              ( ~ ( animal @ SY34 )
              | ~ ( much_smaller @ SY34 @ SV7 )
              | ! [Z: $i] :
                  ( ~ ( eats @ SY34 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ SV7 @ SY34 ) ) )
        = $true )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[129]) ).

thf(142,plain,
    ! [SV13: $i,SV8: $i] :
      ( ( ( ~ ( bird @ SV8 ) )
        = $true )
      | ( ( ~ ( fox @ SV13 ) )
        = $true )
      | ( ( much_smaller @ SV8 @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[130]) ).

thf(143,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ( ~ ( fox @ SV9 ) )
        = $true )
      | ( ( ~ ( wolf @ SV14 ) )
        = $true )
      | ( ( much_smaller @ SV9 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[131]) ).

thf(144,plain,
    ! [SV15: $i,SV10: $i] :
      ( ( ( ~ ( bird @ SV10 ) )
        = $true )
      | ( ( ~ ( caterpillar @ SV15 ) )
        = $true )
      | ( ( eats @ SV10 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(145,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( ~ ( bird @ SV11 ) )
        = $true )
      | ( ( ~ ( snail @ SV16 ) )
        = $true )
      | ( ( ~ ( eats @ SV11 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(146,plain,
    ! [SV17: $i,SV12: $i] :
      ( ( ( ~ ( animal @ SV12 ) )
        = $true )
      | ( ( ~ ( animal @ SV17 ) )
        = $true )
      | ( ( ! [SY42: $i] :
              ( ~ ( eats @ SV17 @ SY42 )
              | ~ ( grain @ SY42 ) )
          | ~ ( eats @ SV12 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[134]) ).

thf(147,plain,
    ! [SV18: $i] :
      ( ( ~ ( caterpillar @ SV18 )
        | ~ ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
            | ~ ( plant @ ( sK2_Y @ SV18 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[135]) ).

thf(148,plain,
    ! [SV19: $i] :
      ( ( ~ ( snail @ SV19 )
        | ~ ( ~ ( eats @ SV19 @ ( sK1_Y @ SV19 ) )
            | ~ ( plant @ ( sK1_Y @ SV19 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[136]) ).

thf(149,plain,
    ! [SV20: $i] :
      ( ( ! [SY43: $i] :
            ( ~ ( bird @ SY43 )
            | ~ ( caterpillar @ SV20 )
            | ( much_smaller @ SV20 @ SY43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[137]) ).

thf(150,plain,
    ! [SV21: $i] :
      ( ( ! [SY44: $i] :
            ( ~ ( bird @ SY44 )
            | ~ ( snail @ SV21 )
            | ( much_smaller @ SV21 @ SY44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[138]) ).

thf(151,plain,
    ! [SV22: $i] :
      ( ( ! [SY45: $i] :
            ( ~ ( wolf @ SV22 )
            | ~ ( fox @ SY45 )
            | ~ ( eats @ SV22 @ SY45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[139]) ).

thf(152,plain,
    ! [SV23: $i] :
      ( ( ! [SY46: $i] :
            ( ~ ( wolf @ SV23 )
            | ~ ( grain @ SY46 )
            | ~ ( eats @ SV23 @ SY46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(153,plain,
    ! [SV7: $i,SV24: $i] :
      ( ( ( ~ ( plant @ SV24 )
          | ( eats @ SV7 @ SV24 ) )
        = $true )
      | ( ( ! [SY34: $i] :
              ( ~ ( animal @ SY34 )
              | ~ ( much_smaller @ SY34 @ SV7 )
              | ! [Z: $i] :
                  ( ~ ( eats @ SY34 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ SV7 @ SY34 ) ) )
        = $true )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[141]) ).

thf(154,plain,
    ! [SV13: $i,SV8: $i] :
      ( ( ( bird @ SV8 )
        = $false )
      | ( ( ~ ( fox @ SV13 ) )
        = $true )
      | ( ( much_smaller @ SV8 @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(155,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ( fox @ SV9 )
        = $false )
      | ( ( ~ ( wolf @ SV14 ) )
        = $true )
      | ( ( much_smaller @ SV9 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(156,plain,
    ! [SV15: $i,SV10: $i] :
      ( ( ( bird @ SV10 )
        = $false )
      | ( ( ~ ( caterpillar @ SV15 ) )
        = $true )
      | ( ( eats @ SV10 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(157,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( bird @ SV11 )
        = $false )
      | ( ( ~ ( snail @ SV16 ) )
        = $true )
      | ( ( ~ ( eats @ SV11 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[145]) ).

thf(158,plain,
    ! [SV17: $i,SV12: $i] :
      ( ( ( animal @ SV12 )
        = $false )
      | ( ( ~ ( animal @ SV17 ) )
        = $true )
      | ( ( ! [SY42: $i] :
              ( ~ ( eats @ SV17 @ SY42 )
              | ~ ( grain @ SY42 ) )
          | ~ ( eats @ SV12 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[146]) ).

thf(159,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( caterpillar @ SV18 ) )
        = $true )
      | ( ( ~ ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
              | ~ ( plant @ ( sK2_Y @ SV18 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[147]) ).

thf(160,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( snail @ SV19 ) )
        = $true )
      | ( ( ~ ( ~ ( eats @ SV19 @ ( sK1_Y @ SV19 ) )
              | ~ ( plant @ ( sK1_Y @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[148]) ).

thf(161,plain,
    ! [SV20: $i,SV25: $i] :
      ( ( ~ ( bird @ SV25 )
        | ~ ( caterpillar @ SV20 )
        | ( much_smaller @ SV20 @ SV25 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(162,plain,
    ! [SV21: $i,SV26: $i] :
      ( ( ~ ( bird @ SV26 )
        | ~ ( snail @ SV21 )
        | ( much_smaller @ SV21 @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(163,plain,
    ! [SV27: $i,SV22: $i] :
      ( ( ~ ( wolf @ SV22 )
        | ~ ( fox @ SV27 )
        | ~ ( eats @ SV22 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(164,plain,
    ! [SV28: $i,SV23: $i] :
      ( ( ~ ( wolf @ SV23 )
        | ~ ( grain @ SV28 )
        | ~ ( eats @ SV23 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[152]) ).

thf(165,plain,
    ! [SV7: $i,SV24: $i] :
      ( ( ( ~ ( plant @ SV24 ) )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( ! [SY34: $i] :
              ( ~ ( animal @ SY34 )
              | ~ ( much_smaller @ SY34 @ SV7 )
              | ! [Z: $i] :
                  ( ~ ( eats @ SY34 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ SV7 @ SY34 ) ) )
        = $true )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[153]) ).

thf(166,plain,
    ! [SV8: $i,SV13: $i] :
      ( ( ( fox @ SV13 )
        = $false )
      | ( ( bird @ SV8 )
        = $false )
      | ( ( much_smaller @ SV8 @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[154]) ).

thf(167,plain,
    ! [SV9: $i,SV14: $i] :
      ( ( ( wolf @ SV14 )
        = $false )
      | ( ( fox @ SV9 )
        = $false )
      | ( ( much_smaller @ SV9 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[155]) ).

thf(168,plain,
    ! [SV10: $i,SV15: $i] :
      ( ( ( caterpillar @ SV15 )
        = $false )
      | ( ( bird @ SV10 )
        = $false )
      | ( ( eats @ SV10 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[156]) ).

thf(169,plain,
    ! [SV11: $i,SV16: $i] :
      ( ( ( snail @ SV16 )
        = $false )
      | ( ( bird @ SV11 )
        = $false )
      | ( ( ~ ( eats @ SV11 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(170,plain,
    ! [SV12: $i,SV17: $i] :
      ( ( ( animal @ SV17 )
        = $false )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( ! [SY42: $i] :
              ( ~ ( eats @ SV17 @ SY42 )
              | ~ ( grain @ SY42 ) )
          | ~ ( eats @ SV12 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(171,plain,
    ! [SV18: $i] :
      ( ( ( caterpillar @ SV18 )
        = $false )
      | ( ( ~ ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
              | ~ ( plant @ ( sK2_Y @ SV18 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(172,plain,
    ! [SV19: $i] :
      ( ( ( snail @ SV19 )
        = $false )
      | ( ( ~ ( ~ ( eats @ SV19 @ ( sK1_Y @ SV19 ) )
              | ~ ( plant @ ( sK1_Y @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(173,plain,
    ! [SV20: $i,SV25: $i] :
      ( ( ( ~ ( bird @ SV25 )
          | ~ ( caterpillar @ SV20 ) )
        = $true )
      | ( ( much_smaller @ SV20 @ SV25 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[161]) ).

thf(174,plain,
    ! [SV21: $i,SV26: $i] :
      ( ( ( ~ ( bird @ SV26 )
          | ~ ( snail @ SV21 ) )
        = $true )
      | ( ( much_smaller @ SV21 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(175,plain,
    ! [SV27: $i,SV22: $i] :
      ( ( ( ~ ( wolf @ SV22 )
          | ~ ( fox @ SV27 ) )
        = $true )
      | ( ( ~ ( eats @ SV22 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[163]) ).

thf(176,plain,
    ! [SV28: $i,SV23: $i] :
      ( ( ( ~ ( wolf @ SV23 )
          | ~ ( grain @ SV28 ) )
        = $true )
      | ( ( ~ ( eats @ SV23 @ SV28 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(177,plain,
    ! [SV7: $i,SV24: $i] :
      ( ( ( plant @ SV24 )
        = $false )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( ! [SY34: $i] :
              ( ~ ( animal @ SY34 )
              | ~ ( much_smaller @ SY34 @ SV7 )
              | ! [Z: $i] :
                  ( ~ ( eats @ SY34 @ Z )
                  | ~ ( plant @ Z ) )
              | ( eats @ SV7 @ SY34 ) ) )
        = $true )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(178,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( eats @ SV11 @ SV16 )
        = $false )
      | ( ( bird @ SV11 )
        = $false )
      | ( ( snail @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[169]) ).

thf(179,plain,
    ! [SV12: $i,SV17: $i] :
      ( ( ( ! [SY42: $i] :
              ( ~ ( eats @ SV17 @ SY42 )
              | ~ ( grain @ SY42 ) ) )
        = $true )
      | ( ( ~ ( eats @ SV12 @ SV17 ) )
        = $true )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( animal @ SV17 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(180,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
          | ~ ( plant @ ( sK2_Y @ SV18 ) ) )
        = $false )
      | ( ( caterpillar @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(181,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( eats @ SV19 @ ( sK1_Y @ SV19 ) )
          | ~ ( plant @ ( sK1_Y @ SV19 ) ) )
        = $false )
      | ( ( snail @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(182,plain,
    ! [SV20: $i,SV25: $i] :
      ( ( ( ~ ( bird @ SV25 ) )
        = $true )
      | ( ( ~ ( caterpillar @ SV20 ) )
        = $true )
      | ( ( much_smaller @ SV20 @ SV25 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[173]) ).

thf(183,plain,
    ! [SV21: $i,SV26: $i] :
      ( ( ( ~ ( bird @ SV26 ) )
        = $true )
      | ( ( ~ ( snail @ SV21 ) )
        = $true )
      | ( ( much_smaller @ SV21 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(184,plain,
    ! [SV27: $i,SV22: $i] :
      ( ( ( ~ ( wolf @ SV22 ) )
        = $true )
      | ( ( ~ ( fox @ SV27 ) )
        = $true )
      | ( ( ~ ( eats @ SV22 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(185,plain,
    ! [SV28: $i,SV23: $i] :
      ( ( ( ~ ( wolf @ SV23 ) )
        = $true )
      | ( ( ~ ( grain @ SV28 ) )
        = $true )
      | ( ( ~ ( eats @ SV23 @ SV28 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(186,plain,
    ! [SV24: $i,SV7: $i,SV29: $i] :
      ( ( ( ~ ( animal @ SV29 )
          | ~ ( much_smaller @ SV29 @ SV7 )
          | ! [SY47: $i] :
              ( ~ ( eats @ SV29 @ SY47 )
              | ~ ( plant @ SY47 ) )
          | ( eats @ SV7 @ SV29 ) )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(187,plain,
    ! [SV12: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( eats @ SV17 @ SV30 )
          | ~ ( grain @ SV30 ) )
        = $true )
      | ( ( ~ ( eats @ SV12 @ SV17 ) )
        = $true )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( animal @ SV17 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(188,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) ) )
        = $false )
      | ( ( caterpillar @ SV18 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[180]) ).

thf(189,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( plant @ ( sK2_Y @ SV18 ) ) )
        = $false )
      | ( ( caterpillar @ SV18 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[180]) ).

thf(190,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( eats @ SV19 @ ( sK1_Y @ SV19 ) ) )
        = $false )
      | ( ( snail @ SV19 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[181]) ).

thf(191,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( plant @ ( sK1_Y @ SV19 ) ) )
        = $false )
      | ( ( snail @ SV19 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[181]) ).

thf(192,plain,
    ! [SV20: $i,SV25: $i] :
      ( ( ( bird @ SV25 )
        = $false )
      | ( ( ~ ( caterpillar @ SV20 ) )
        = $true )
      | ( ( much_smaller @ SV20 @ SV25 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(193,plain,
    ! [SV21: $i,SV26: $i] :
      ( ( ( bird @ SV26 )
        = $false )
      | ( ( ~ ( snail @ SV21 ) )
        = $true )
      | ( ( much_smaller @ SV21 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(194,plain,
    ! [SV27: $i,SV22: $i] :
      ( ( ( wolf @ SV22 )
        = $false )
      | ( ( ~ ( fox @ SV27 ) )
        = $true )
      | ( ( ~ ( eats @ SV22 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(195,plain,
    ! [SV28: $i,SV23: $i] :
      ( ( ( wolf @ SV23 )
        = $false )
      | ( ( ~ ( grain @ SV28 ) )
        = $true )
      | ( ( ~ ( eats @ SV23 @ SV28 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(196,plain,
    ! [SV24: $i,SV7: $i,SV29: $i] :
      ( ( ( ~ ( animal @ SV29 )
          | ~ ( much_smaller @ SV29 @ SV7 )
          | ! [SY47: $i] :
              ( ~ ( eats @ SV29 @ SY47 )
              | ~ ( plant @ SY47 ) ) )
        = $true )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[186]) ).

thf(197,plain,
    ! [SV12: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( eats @ SV17 @ SV30 ) )
        = $true )
      | ( ( ~ ( grain @ SV30 ) )
        = $true )
      | ( ( ~ ( eats @ SV12 @ SV17 ) )
        = $true )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( animal @ SV17 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[187]) ).

thf(198,plain,
    ! [SV18: $i] :
      ( ( ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
        = $true )
      | ( ( caterpillar @ SV18 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(199,plain,
    ! [SV18: $i] :
      ( ( ( plant @ ( sK2_Y @ SV18 ) )
        = $true )
      | ( ( caterpillar @ SV18 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[189]) ).

thf(200,plain,
    ! [SV19: $i] :
      ( ( ( eats @ SV19 @ ( sK1_Y @ SV19 ) )
        = $true )
      | ( ( snail @ SV19 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[190]) ).

thf(201,plain,
    ! [SV19: $i] :
      ( ( ( plant @ ( sK1_Y @ SV19 ) )
        = $true )
      | ( ( snail @ SV19 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[191]) ).

thf(202,plain,
    ! [SV25: $i,SV20: $i] :
      ( ( ( caterpillar @ SV20 )
        = $false )
      | ( ( bird @ SV25 )
        = $false )
      | ( ( much_smaller @ SV20 @ SV25 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(203,plain,
    ! [SV26: $i,SV21: $i] :
      ( ( ( snail @ SV21 )
        = $false )
      | ( ( bird @ SV26 )
        = $false )
      | ( ( much_smaller @ SV21 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(204,plain,
    ! [SV22: $i,SV27: $i] :
      ( ( ( fox @ SV27 )
        = $false )
      | ( ( wolf @ SV22 )
        = $false )
      | ( ( ~ ( eats @ SV22 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[194]) ).

thf(205,plain,
    ! [SV23: $i,SV28: $i] :
      ( ( ( grain @ SV28 )
        = $false )
      | ( ( wolf @ SV23 )
        = $false )
      | ( ( ~ ( eats @ SV23 @ SV28 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(206,plain,
    ! [SV24: $i,SV7: $i,SV29: $i] :
      ( ( ( ~ ( animal @ SV29 )
          | ~ ( much_smaller @ SV29 @ SV7 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( eats @ SV29 @ SY47 )
              | ~ ( plant @ SY47 ) ) )
        = $true )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[196]) ).

thf(207,plain,
    ! [SV12: $i,SV30: $i,SV17: $i] :
      ( ( ( eats @ SV17 @ SV30 )
        = $false )
      | ( ( ~ ( grain @ SV30 ) )
        = $true )
      | ( ( ~ ( eats @ SV12 @ SV17 ) )
        = $true )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( animal @ SV17 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(208,plain,
    ! [SV27: $i,SV22: $i] :
      ( ( ( eats @ SV22 @ SV27 )
        = $false )
      | ( ( wolf @ SV22 )
        = $false )
      | ( ( fox @ SV27 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(209,plain,
    ! [SV28: $i,SV23: $i] :
      ( ( ( eats @ SV23 @ SV28 )
        = $false )
      | ( ( wolf @ SV23 )
        = $false )
      | ( ( grain @ SV28 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(210,plain,
    ! [SV24: $i,SV7: $i,SV29: $i] :
      ( ( ( ~ ( animal @ SV29 ) )
        = $true )
      | ( ( ~ ( much_smaller @ SV29 @ SV7 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( eats @ SV29 @ SY47 )
              | ~ ( plant @ SY47 ) ) )
        = $true )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[206]) ).

thf(211,plain,
    ! [SV12: $i,SV17: $i,SV30: $i] :
      ( ( ( grain @ SV30 )
        = $false )
      | ( ( eats @ SV17 @ SV30 )
        = $false )
      | ( ( ~ ( eats @ SV12 @ SV17 ) )
        = $true )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( animal @ SV17 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(212,plain,
    ! [SV24: $i,SV7: $i,SV29: $i] :
      ( ( ( animal @ SV29 )
        = $false )
      | ( ( ~ ( much_smaller @ SV29 @ SV7 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( eats @ SV29 @ SY47 )
              | ~ ( plant @ SY47 ) ) )
        = $true )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(213,plain,
    ! [SV30: $i,SV17: $i,SV12: $i] :
      ( ( ( eats @ SV12 @ SV17 )
        = $false )
      | ( ( eats @ SV17 @ SV30 )
        = $false )
      | ( ( grain @ SV30 )
        = $false )
      | ( ( animal @ SV12 )
        = $false )
      | ( ( animal @ SV17 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(214,plain,
    ! [SV24: $i,SV7: $i,SV29: $i] :
      ( ( ( much_smaller @ SV29 @ SV7 )
        = $false )
      | ( ( animal @ SV29 )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( eats @ SV29 @ SY47 )
              | ~ ( plant @ SY47 ) ) )
        = $true )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(215,plain,
    ! [SV24: $i,SV7: $i,SV31: $i,SV29: $i] :
      ( ( ( ~ ( eats @ SV29 @ SV31 )
          | ~ ( plant @ SV31 ) )
        = $true )
      | ( ( animal @ SV29 )
        = $false )
      | ( ( much_smaller @ SV29 @ SV7 )
        = $false )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(216,plain,
    ! [SV24: $i,SV7: $i,SV31: $i,SV29: $i] :
      ( ( ( ~ ( eats @ SV29 @ SV31 ) )
        = $true )
      | ( ( ~ ( plant @ SV31 ) )
        = $true )
      | ( ( animal @ SV29 )
        = $false )
      | ( ( much_smaller @ SV29 @ SV7 )
        = $false )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[215]) ).

thf(217,plain,
    ! [SV24: $i,SV7: $i,SV31: $i,SV29: $i] :
      ( ( ( eats @ SV29 @ SV31 )
        = $false )
      | ( ( ~ ( plant @ SV31 ) )
        = $true )
      | ( ( animal @ SV29 )
        = $false )
      | ( ( much_smaller @ SV29 @ SV7 )
        = $false )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(218,plain,
    ! [SV24: $i,SV7: $i,SV29: $i,SV31: $i] :
      ( ( ( plant @ SV31 )
        = $false )
      | ( ( eats @ SV29 @ SV31 )
        = $false )
      | ( ( animal @ SV29 )
        = $false )
      | ( ( much_smaller @ SV29 @ SV7 )
        = $false )
      | ( ( eats @ SV7 @ SV29 )
        = $true )
      | ( ( eats @ SV7 @ SV24 )
        = $true )
      | ( ( plant @ SV24 )
        = $false )
      | ( ( animal @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(219,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[67,218,213,209,208,203,202,201,200,199,198,178,168,167,166,128,127,126,125,124,123,76,75,73,71,69]) ).

thf(220,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[219]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat May 28 23:13:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 20
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:22,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.18/0.47  
% 0.18/0.47  ********************************
% 0.18/0.47  *   All subproblems solved!    *
% 0.18/0.47  ********************************
% 0.18/0.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:219,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.48  
% 0.18/0.48  %**** Beginning of derivation protocol ****
% 0.18/0.48  % SZS output start CNFRefutation
% See solution above
% 0.18/0.48  
% 0.18/0.48  %**** End of derivation protocol ****
% 0.18/0.48  %**** no. of clauses in derivation: 220 ****
% 0.18/0.48  %**** clause counter: 219 ****
% 0.18/0.48  
% 0.18/0.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:219,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------