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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ031^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CiFLot0thh true

% Computer : n016.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  2 04:49:32 PM UTC 2025

% Result   : Theorem 0.59s 0.90s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  136 (  40 unt;   0 typ;   0 def)
%            Number of atoms       :  776 (   0 equ; 149 cnn)
%            Maximal formula atoms :  136 (   5 avg)
%            Number of connectives : 1811 ( 340   ~; 342   |;  75   &; 980   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;   9 con; 0-2 aty)
%                                         (  74  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  249 (  74   ^; 175   !;   0   ?; 249   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_snail_type,type,
    a_snail: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(cPUZ031_1,conjecture,
    ~ ( ! [A: $i,E: $i,G: $i] :
          ( ~ ( animal @ A )
          | ~ ( animal @ E )
          | ~ ( grain @ G )
          | ~ ( eats @ A @ E )
          | ~ ( eats @ E @ G ) )
      & ! [S: $i] :
          ( ( eats @ S @ ( sf @ S ) )
          | ~ ( snail @ S ) )
      & ! [S: $i] :
          ( ( plant @ ( sf @ S ) )
          | ~ ( snail @ S ) )
      & ! [C: $i] :
          ( ( eats @ C @ ( cf @ C ) )
          | ~ ( caterpillar @ C ) )
      & ! [C: $i] :
          ( ( plant @ ( cf @ C ) )
          | ~ ( caterpillar @ C ) )
      & ! [B: $i,S: $i] :
          ( ~ ( bird @ B )
          | ~ ( snail @ S )
          | ~ ( eats @ B @ S ) )
      & ! [B: $i,C: $i] :
          ( ( eats @ B @ C )
          | ~ ( bird @ B )
          | ~ ( caterpillar @ C ) )
      & ! [W: $i,G: $i] :
          ( ~ ( wolf @ W )
          | ~ ( grain @ G )
          | ~ ( eats @ W @ G ) )
      & ! [F: $i,W: $i] :
          ( ~ ( wolf @ W )
          | ~ ( fox @ F )
          | ~ ( eats @ W @ F ) )
      & ! [F: $i,W: $i] :
          ( ( msmaller @ F @ W )
          | ~ ( fox @ F )
          | ~ ( wolf @ W ) )
      & ! [B: $i,F: $i] :
          ( ( msmaller @ B @ F )
          | ~ ( bird @ B )
          | ~ ( fox @ F ) )
      & ! [S: $i,B: $i] :
          ( ( msmaller @ S @ B )
          | ~ ( snail @ S )
          | ~ ( bird @ B ) )
      & ! [C: $i,B: $i] :
          ( ( msmaller @ C @ B )
          | ~ ( caterpillar @ C )
          | ~ ( bird @ B ) )
      & ! [A: $i,P: $i,S: $i,O: $i] :
          ( ( eats @ A @ P )
          | ( eats @ A @ S )
          | ~ ( animal @ A )
          | ~ ( plant @ P )
          | ~ ( animal @ S )
          | ~ ( plant @ O )
          | ~ ( msmaller @ S @ A )
          | ~ ( eats @ S @ O ) )
      & ! [X: $i] :
          ( ( plant @ X )
          | ~ ( grain @ X ) )
      & ( grain @ a_grain )
      & ( snail @ a_snail )
      & ( caterpillar @ a_caterpillar )
      & ( bird @ a_bird )
      & ( fox @ a_fox )
      & ( wolf @ a_wolf )
      & ! [X: $i] :
          ( ( animal @ X )
          | ~ ( snail @ X ) )
      & ! [X: $i] :
          ( ( animal @ X )
          | ~ ( caterpillar @ X ) )
      & ! [X: $i] :
          ( ( animal @ X )
          | ~ ( bird @ X ) )
      & ! [X: $i] :
          ( ( animal @ X )
          | ~ ( fox @ X ) )
      & ! [X: $i] :
          ( ( animal @ X )
          | ~ ( wolf @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ! [A: $i,E: $i,G: $i] :
        ( ~ ( animal @ A )
        | ~ ( animal @ E )
        | ~ ( grain @ G )
        | ~ ( eats @ A @ E )
        | ~ ( eats @ E @ G ) )
    & ! [S: $i] :
        ( ( eats @ S @ ( sf @ S ) )
        | ~ ( snail @ S ) )
    & ! [S: $i] :
        ( ( plant @ ( sf @ S ) )
        | ~ ( snail @ S ) )
    & ! [C: $i] :
        ( ( eats @ C @ ( cf @ C ) )
        | ~ ( caterpillar @ C ) )
    & ! [C: $i] :
        ( ( plant @ ( cf @ C ) )
        | ~ ( caterpillar @ C ) )
    & ! [B: $i,S: $i] :
        ( ~ ( bird @ B )
        | ~ ( snail @ S )
        | ~ ( eats @ B @ S ) )
    & ! [B: $i,C: $i] :
        ( ( eats @ B @ C )
        | ~ ( bird @ B )
        | ~ ( caterpillar @ C ) )
    & ! [W: $i,G: $i] :
        ( ~ ( wolf @ W )
        | ~ ( grain @ G )
        | ~ ( eats @ W @ G ) )
    & ! [F: $i,W: $i] :
        ( ~ ( wolf @ W )
        | ~ ( fox @ F )
        | ~ ( eats @ W @ F ) )
    & ! [F: $i,W: $i] :
        ( ( msmaller @ F @ W )
        | ~ ( fox @ F )
        | ~ ( wolf @ W ) )
    & ! [B: $i,F: $i] :
        ( ( msmaller @ B @ F )
        | ~ ( bird @ B )
        | ~ ( fox @ F ) )
    & ! [S: $i,B: $i] :
        ( ( msmaller @ S @ B )
        | ~ ( snail @ S )
        | ~ ( bird @ B ) )
    & ! [C: $i,B: $i] :
        ( ( msmaller @ C @ B )
        | ~ ( caterpillar @ C )
        | ~ ( bird @ B ) )
    & ! [A: $i,P: $i,S: $i,O: $i] :
        ( ( eats @ A @ P )
        | ( eats @ A @ S )
        | ~ ( animal @ A )
        | ~ ( plant @ P )
        | ~ ( animal @ S )
        | ~ ( plant @ O )
        | ~ ( msmaller @ S @ A )
        | ~ ( eats @ S @ O ) )
    & ! [X: $i] :
        ( ( plant @ X )
        | ~ ( grain @ X ) )
    & ( grain @ a_grain )
    & ( snail @ a_snail )
    & ( caterpillar @ a_caterpillar )
    & ( bird @ a_bird )
    & ( fox @ a_fox )
    & ( wolf @ a_wolf )
    & ! [X: $i] :
        ( ( animal @ X )
        | ~ ( snail @ X ) )
    & ! [X: $i] :
        ( ( animal @ X )
        | ~ ( caterpillar @ X ) )
    & ! [X: $i] :
        ( ( animal @ X )
        | ~ ( bird @ X ) )
    & ! [X: $i] :
        ( ( animal @ X )
        | ~ ( fox @ X ) )
    & ! [X: $i] :
        ( ( animal @ X )
        | ~ ( wolf @ X ) ) ),
    inference('cnf.neg',[status(esa)],[cPUZ031_1]) ).

thf(zip_derived_cl0,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( (~) @ ( animal @ Y0 ) )
                  | ( (~) @ ( animal @ Y1 ) )
                  | ( (~) @ ( grain @ Y2 ) )
                  | ( (~) @ ( eats @ Y0 @ Y1 ) )
                  | ( (~) @ ( eats @ Y1 @ Y2 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( eats @ Y0 @ ( sf @ Y0 ) )
          | ( (~) @ ( snail @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( plant @ ( sf @ Y0 ) )
          | ( (~) @ ( snail @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( eats @ Y0 @ ( cf @ Y0 ) )
          | ( (~) @ ( caterpillar @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( plant @ ( cf @ Y0 ) )
          | ( (~) @ ( caterpillar @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( (~) @ ( bird @ Y0 ) )
              | ( (~) @ ( snail @ Y1 ) )
              | ( (~) @ ( eats @ Y0 @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( eats @ Y0 @ Y1 )
              | ( (~) @ ( bird @ Y0 ) )
              | ( (~) @ ( caterpillar @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( (~) @ ( wolf @ Y0 ) )
              | ( (~) @ ( grain @ Y1 ) )
              | ( (~) @ ( eats @ Y0 @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( (~) @ ( wolf @ Y1 ) )
              | ( (~) @ ( fox @ Y0 ) )
              | ( (~) @ ( eats @ Y1 @ Y0 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( msmaller @ Y0 @ Y1 )
              | ( (~) @ ( fox @ Y0 ) )
              | ( (~) @ ( wolf @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( msmaller @ Y0 @ Y1 )
              | ( (~) @ ( bird @ Y0 ) )
              | ( (~) @ ( fox @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( msmaller @ Y0 @ Y1 )
              | ( (~) @ ( snail @ Y0 ) )
              | ( (~) @ ( bird @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( msmaller @ Y0 @ Y1 )
              | ( (~) @ ( caterpillar @ Y0 ) )
              | ( (~) @ ( bird @ Y1 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( !!
                  @ ^ [Y3: $i] :
                      ( ( eats @ Y0 @ Y1 )
                      | ( eats @ Y0 @ Y2 )
                      | ( (~) @ ( animal @ Y0 ) )
                      | ( (~) @ ( plant @ Y1 ) )
                      | ( (~) @ ( animal @ Y2 ) )
                      | ( (~) @ ( plant @ Y3 ) )
                      | ( (~) @ ( msmaller @ Y2 @ Y0 ) )
                      | ( (~) @ ( eats @ Y2 @ Y3 ) ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( plant @ Y0 )
          | ( (~) @ ( grain @ Y0 ) ) ) )
    & ( grain @ a_grain )
    & ( snail @ a_snail )
    & ( caterpillar @ a_caterpillar )
    & ( bird @ a_bird )
    & ( fox @ a_fox )
    & ( wolf @ a_wolf )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( animal @ Y0 )
          | ( (~) @ ( snail @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( animal @ Y0 )
          | ( (~) @ ( caterpillar @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( animal @ Y0 )
          | ( (~) @ ( bird @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( animal @ Y0 )
          | ( (~) @ ( fox @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( animal @ Y0 )
          | ( (~) @ ( wolf @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( plant @ Y0 )
        | ( (~) @ ( grain @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl41,plain,
    ! [X2: $i] :
      ( ( plant @ X2 )
      | ( (~) @ ( grain @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl61,plain,
    ! [X2: $i] :
      ( ( plant @ X2 )
      | ~ ( grain @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl61_001,plain,
    ! [X2: $i] :
      ( ( plant @ X2 )
      | ~ ( grain @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl16_002,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl16_003,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl61_004,plain,
    ! [X2: $i] :
      ( ( plant @ X2 )
      | ~ ( grain @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl61_005,plain,
    ! [X2: $i] :
      ( ( plant @ X2 )
      | ~ ( grain @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl16_006,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl61_007,plain,
    ! [X2: $i] :
      ( ( plant @ X2 )
      | ~ ( grain @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( plant @ ( sf @ Y0 ) )
        | ( (~) @ ( snail @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl29,plain,
    ! [X2: $i] :
      ( ( plant @ ( sf @ X2 ) )
      | ( (~) @ ( snail @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl49,plain,
    ! [X2: $i] :
      ( ( plant @ ( sf @ X2 ) )
      | ~ ( snail @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( eats @ Y0 @ ( sf @ Y0 ) )
        | ( (~) @ ( snail @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i] :
      ( ( eats @ X2 @ ( sf @ X2 ) )
      | ( (~) @ ( snail @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl48,plain,
    ! [X2: $i] :
      ( ( eats @ X2 @ ( sf @ X2 ) )
      | ~ ( snail @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl17,plain,
    snail @ a_snail,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( msmaller @ Y0 @ Y1 )
            | ( (~) @ ( snail @ Y0 ) )
            | ( (~) @ ( bird @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl38,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( msmaller @ X2 @ Y0 )
          | ( (~) @ ( snail @ X2 ) )
          | ( (~) @ ( bird @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl58,plain,
    ! [X2: $i,X4: $i] :
      ( ( msmaller @ X2 @ X4 )
      | ( (~) @ ( snail @ X2 ) )
      | ( (~) @ ( bird @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl74,plain,
    ! [X2: $i,X4: $i] :
      ( ( msmaller @ X2 @ X4 )
      | ~ ( snail @ X2 )
      | ~ ( bird @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i] :
      ( ~ ( bird @ X0 )
      | ( msmaller @ a_snail @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl74]) ).

thf(zip_derived_cl19,plain,
    bird @ a_bird,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl140,plain,
    msmaller @ a_snail @ a_bird,
    inference('sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl19]) ).

thf(zip_derived_cl14,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( !!
                @ ^ [Y3: $i] :
                    ( ( eats @ Y0 @ Y1 )
                    | ( eats @ Y0 @ Y2 )
                    | ( (~) @ ( animal @ Y0 ) )
                    | ( (~) @ ( plant @ Y1 ) )
                    | ( (~) @ ( animal @ Y2 ) )
                    | ( (~) @ ( plant @ Y3 ) )
                    | ( (~) @ ( msmaller @ Y2 @ Y0 ) )
                    | ( (~) @ ( eats @ Y2 @ Y3 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( eats @ X2 @ Y0 )
                  | ( eats @ X2 @ Y1 )
                  | ( (~) @ ( animal @ X2 ) )
                  | ( (~) @ ( plant @ Y0 ) )
                  | ( (~) @ ( animal @ Y1 ) )
                  | ( (~) @ ( plant @ Y2 ) )
                  | ( (~) @ ( msmaller @ Y1 @ X2 ) )
                  | ( (~) @ ( eats @ Y1 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl60,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( eats @ X2 @ X4 )
              | ( eats @ X2 @ Y0 )
              | ( (~) @ ( animal @ X2 ) )
              | ( (~) @ ( plant @ X4 ) )
              | ( (~) @ ( animal @ Y0 ) )
              | ( (~) @ ( plant @ Y1 ) )
              | ( (~) @ ( msmaller @ Y0 @ X2 ) )
              | ( (~) @ ( eats @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl76,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( eats @ X2 @ X4 )
          | ( eats @ X2 @ X6 )
          | ( (~) @ ( animal @ X2 ) )
          | ( (~) @ ( plant @ X4 ) )
          | ( (~) @ ( animal @ X6 ) )
          | ( (~) @ ( plant @ Y0 ) )
          | ( (~) @ ( msmaller @ X6 @ X2 ) )
          | ( (~) @ ( eats @ X6 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl60]) ).

thf(zip_derived_cl78,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ( eats @ X2 @ X4 )
      | ( eats @ X2 @ X6 )
      | ( (~) @ ( animal @ X2 ) )
      | ( (~) @ ( plant @ X4 ) )
      | ( (~) @ ( animal @ X6 ) )
      | ( (~) @ ( plant @ X8 ) )
      | ( (~) @ ( msmaller @ X6 @ X2 ) )
      | ( (~) @ ( eats @ X6 @ X8 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl79,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ( eats @ X2 @ X4 )
      | ( eats @ X2 @ X6 )
      | ~ ( animal @ X2 )
      | ~ ( plant @ X4 )
      | ~ ( animal @ X6 )
      | ~ ( plant @ X8 )
      | ~ ( msmaller @ X6 @ X2 )
      | ~ ( eats @ X6 @ X8 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eats @ a_snail @ X0 )
      | ~ ( plant @ X0 )
      | ~ ( animal @ a_snail )
      | ~ ( plant @ X1 )
      | ~ ( animal @ a_bird )
      | ( eats @ a_bird @ a_snail )
      | ( eats @ a_bird @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl79]) ).

thf(zip_derived_cl17_008,plain,
    snail @ a_snail,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl22,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( animal @ Y0 )
        | ( (~) @ ( snail @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl42,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ( (~) @ ( snail @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl62,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ~ ( snail @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl80,plain,
    animal @ a_snail,
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl62]) ).

thf(zip_derived_cl19_009,plain,
    bird @ a_bird,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl24,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( animal @ Y0 )
        | ( (~) @ ( bird @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl44,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ( (~) @ ( bird @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl64,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ~ ( bird @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl88,plain,
    animal @ a_bird,
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl64]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eats @ a_snail @ X0 )
      | ~ ( plant @ X0 )
      | ~ ( plant @ X1 )
      | ( eats @ a_bird @ a_snail )
      | ( eats @ a_bird @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl80,zip_derived_cl88]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i] :
      ( ~ ( snail @ a_snail )
      | ( eats @ a_bird @ X0 )
      | ( eats @ a_bird @ a_snail )
      | ~ ( plant @ X0 )
      | ~ ( plant @ ( sf @ a_snail ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl194]) ).

thf(zip_derived_cl17_010,plain,
    snail @ a_snail,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] :
      ( ( eats @ a_bird @ X0 )
      | ( eats @ a_bird @ a_snail )
      | ~ ( plant @ X0 )
      | ~ ( plant @ ( sf @ a_snail ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl17]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i] :
      ( ~ ( snail @ a_snail )
      | ~ ( plant @ X0 )
      | ( eats @ a_bird @ a_snail )
      | ( eats @ a_bird @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl227]) ).

thf(zip_derived_cl17_011,plain,
    snail @ a_snail,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i] :
      ( ~ ( plant @ X0 )
      | ( eats @ a_bird @ a_snail )
      | ( eats @ a_bird @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl17]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i] :
      ( ~ ( grain @ X0 )
      | ( eats @ a_bird @ X0 )
      | ( eats @ a_bird @ a_snail ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl235]) ).

thf(zip_derived_cl243,plain,
    ( ( eats @ a_bird @ a_snail )
    | ( eats @ a_bird @ a_grain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl239]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( bird @ Y0 ) )
            | ( (~) @ ( snail @ Y1 ) )
            | ( (~) @ ( eats @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl32,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( bird @ X2 ) )
          | ( (~) @ ( snail @ Y0 ) )
          | ( (~) @ ( eats @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl52,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( bird @ X2 ) )
      | ( (~) @ ( snail @ X4 ) )
      | ( (~) @ ( eats @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl68,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( bird @ X2 )
      | ~ ( snail @ X4 )
      | ~ ( eats @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl249,plain,
    ( ( eats @ a_bird @ a_grain )
    | ~ ( snail @ a_snail )
    | ~ ( bird @ a_bird ) ),
    inference('sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl68]) ).

thf(zip_derived_cl17_012,plain,
    snail @ a_snail,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl19_013,plain,
    bird @ a_bird,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl256,plain,
    eats @ a_bird @ a_grain,
    inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl17,zip_derived_cl19]) ).

thf(zip_derived_cl19_014,plain,
    bird @ a_bird,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl11,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( msmaller @ Y0 @ Y1 )
            | ( (~) @ ( bird @ Y0 ) )
            | ( (~) @ ( fox @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl37,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( msmaller @ X2 @ Y0 )
          | ( (~) @ ( bird @ X2 ) )
          | ( (~) @ ( fox @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl57,plain,
    ! [X2: $i,X4: $i] :
      ( ( msmaller @ X2 @ X4 )
      | ( (~) @ ( bird @ X2 ) )
      | ( (~) @ ( fox @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl73,plain,
    ! [X2: $i,X4: $i] :
      ( ( msmaller @ X2 @ X4 )
      | ~ ( bird @ X2 )
      | ~ ( fox @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i] :
      ( ~ ( fox @ X0 )
      | ( msmaller @ a_bird @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl73]) ).

thf(zip_derived_cl20,plain,
    fox @ a_fox,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl134,plain,
    msmaller @ a_bird @ a_fox,
    inference('sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl20]) ).

thf(zip_derived_cl79_015,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ( eats @ X2 @ X4 )
      | ( eats @ X2 @ X6 )
      | ~ ( animal @ X2 )
      | ~ ( plant @ X4 )
      | ~ ( animal @ X6 )
      | ~ ( plant @ X8 )
      | ~ ( msmaller @ X6 @ X2 )
      | ~ ( eats @ X6 @ X8 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl184,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eats @ a_bird @ X0 )
      | ~ ( plant @ X0 )
      | ~ ( animal @ a_bird )
      | ~ ( plant @ X1 )
      | ~ ( animal @ a_fox )
      | ( eats @ a_fox @ a_bird )
      | ( eats @ a_fox @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl79]) ).

thf(zip_derived_cl88_016,plain,
    animal @ a_bird,
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl64]) ).

thf(zip_derived_cl20_017,plain,
    fox @ a_fox,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl25,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( animal @ Y0 )
        | ( (~) @ ( fox @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl45,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ( (~) @ ( fox @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl65,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ~ ( fox @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl92,plain,
    animal @ a_fox,
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl65]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eats @ a_bird @ X0 )
      | ~ ( plant @ X0 )
      | ~ ( plant @ X1 )
      | ( eats @ a_fox @ a_bird )
      | ( eats @ a_fox @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl88,zip_derived_cl92]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i] :
      ( ( eats @ a_fox @ X0 )
      | ( eats @ a_fox @ a_bird )
      | ~ ( plant @ X0 )
      | ~ ( plant @ a_grain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl192]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i] :
      ( ~ ( grain @ a_grain )
      | ~ ( plant @ X0 )
      | ( eats @ a_fox @ a_bird )
      | ( eats @ a_fox @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl259]) ).

thf(zip_derived_cl16_018,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i] :
      ( ~ ( plant @ X0 )
      | ( eats @ a_fox @ a_bird )
      | ( eats @ a_fox @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl16]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i] :
      ( ~ ( grain @ X0 )
      | ( eats @ a_fox @ X0 )
      | ( eats @ a_fox @ a_bird ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl304]) ).

thf(zip_derived_cl312,plain,
    ( ( eats @ a_fox @ a_bird )
    | ( eats @ a_fox @ a_grain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl308]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( (~) @ ( animal @ Y0 ) )
                | ( (~) @ ( animal @ Y1 ) )
                | ( (~) @ ( grain @ Y2 ) )
                | ( (~) @ ( eats @ Y0 @ Y1 ) )
                | ( (~) @ ( eats @ Y1 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( (~) @ ( animal @ X2 ) )
              | ( (~) @ ( animal @ Y0 ) )
              | ( (~) @ ( grain @ Y1 ) )
              | ( (~) @ ( eats @ X2 @ Y0 ) )
              | ( (~) @ ( eats @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl47,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( animal @ X2 ) )
          | ( (~) @ ( animal @ X4 ) )
          | ( (~) @ ( grain @ Y0 ) )
          | ( (~) @ ( eats @ X2 @ X4 ) )
          | ( (~) @ ( eats @ X4 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl67,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( (~) @ ( animal @ X2 ) )
      | ( (~) @ ( animal @ X4 ) )
      | ( (~) @ ( grain @ X6 ) )
      | ( (~) @ ( eats @ X2 @ X4 ) )
      | ( (~) @ ( eats @ X4 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl77,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( animal @ X2 )
      | ~ ( animal @ X4 )
      | ~ ( grain @ X6 )
      | ~ ( eats @ X2 @ X4 )
      | ~ ( eats @ X4 @ X6 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl316,plain,
    ! [X0: $i] :
      ( ( eats @ a_fox @ a_grain )
      | ~ ( eats @ a_bird @ X0 )
      | ~ ( grain @ X0 )
      | ~ ( animal @ a_bird )
      | ~ ( animal @ a_fox ) ),
    inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl77]) ).

thf(zip_derived_cl88_019,plain,
    animal @ a_bird,
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl64]) ).

thf(zip_derived_cl92_020,plain,
    animal @ a_fox,
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl65]) ).

thf(zip_derived_cl324,plain,
    ! [X0: $i] :
      ( ( eats @ a_fox @ a_grain )
      | ~ ( eats @ a_bird @ X0 )
      | ~ ( grain @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl88,zip_derived_cl92]) ).

thf(zip_derived_cl345,plain,
    ( ~ ( eats @ a_bird @ a_grain )
    | ( eats @ a_fox @ a_grain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl324]) ).

thf(zip_derived_cl256_021,plain,
    eats @ a_bird @ a_grain,
    inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl17,zip_derived_cl19]) ).

thf(zip_derived_cl348,plain,
    eats @ a_fox @ a_grain,
    inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl256]) ).

thf(zip_derived_cl20_022,plain,
    fox @ a_fox,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl10,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( msmaller @ Y0 @ Y1 )
            | ( (~) @ ( fox @ Y0 ) )
            | ( (~) @ ( wolf @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl36,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( msmaller @ X2 @ Y0 )
          | ( (~) @ ( fox @ X2 ) )
          | ( (~) @ ( wolf @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl56,plain,
    ! [X2: $i,X4: $i] :
      ( ( msmaller @ X2 @ X4 )
      | ( (~) @ ( fox @ X2 ) )
      | ( (~) @ ( wolf @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl72,plain,
    ! [X2: $i,X4: $i] :
      ( ( msmaller @ X2 @ X4 )
      | ~ ( fox @ X2 )
      | ~ ( wolf @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i] :
      ( ~ ( wolf @ X0 )
      | ( msmaller @ a_fox @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl72]) ).

thf(zip_derived_cl21,plain,
    wolf @ a_wolf,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl128,plain,
    msmaller @ a_fox @ a_wolf,
    inference('sup+',[status(thm)],[zip_derived_cl126,zip_derived_cl21]) ).

thf(zip_derived_cl79_023,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ( eats @ X2 @ X4 )
      | ( eats @ X2 @ X6 )
      | ~ ( animal @ X2 )
      | ~ ( plant @ X4 )
      | ~ ( animal @ X6 )
      | ~ ( plant @ X8 )
      | ~ ( msmaller @ X6 @ X2 )
      | ~ ( eats @ X6 @ X8 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl183,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eats @ a_fox @ X0 )
      | ~ ( plant @ X0 )
      | ~ ( animal @ a_fox )
      | ~ ( plant @ X1 )
      | ~ ( animal @ a_wolf )
      | ( eats @ a_wolf @ a_fox )
      | ( eats @ a_wolf @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl79]) ).

thf(zip_derived_cl92_024,plain,
    animal @ a_fox,
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl65]) ).

thf(zip_derived_cl21_025,plain,
    wolf @ a_wolf,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl26,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( animal @ Y0 )
        | ( (~) @ ( wolf @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl46,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ( (~) @ ( wolf @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl66,plain,
    ! [X2: $i] :
      ( ( animal @ X2 )
      | ~ ( wolf @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl96,plain,
    animal @ a_wolf,
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl66]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eats @ a_fox @ X0 )
      | ~ ( plant @ X0 )
      | ~ ( plant @ X1 )
      | ( eats @ a_wolf @ a_fox )
      | ( eats @ a_wolf @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl92,zip_derived_cl96]) ).

thf(zip_derived_cl356,plain,
    ! [X0: $i] :
      ( ( eats @ a_wolf @ X0 )
      | ( eats @ a_wolf @ a_fox )
      | ~ ( plant @ X0 )
      | ~ ( plant @ a_grain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl191]) ).

thf(zip_derived_cl415,plain,
    ! [X0: $i] :
      ( ~ ( grain @ a_grain )
      | ~ ( plant @ X0 )
      | ( eats @ a_wolf @ a_fox )
      | ( eats @ a_wolf @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl356]) ).

thf(zip_derived_cl16_026,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl419,plain,
    ! [X0: $i] :
      ( ~ ( plant @ X0 )
      | ( eats @ a_wolf @ a_fox )
      | ( eats @ a_wolf @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl16]) ).

thf(zip_derived_cl423,plain,
    ! [X0: $i] :
      ( ~ ( grain @ X0 )
      | ( eats @ a_wolf @ X0 )
      | ( eats @ a_wolf @ a_fox ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl419]) ).

thf(zip_derived_cl427,plain,
    ( ( eats @ a_wolf @ a_fox )
    | ( eats @ a_wolf @ a_grain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl423]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( wolf @ Y1 ) )
            | ( (~) @ ( fox @ Y0 ) )
            | ( (~) @ ( eats @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( wolf @ Y0 ) )
          | ( (~) @ ( fox @ X2 ) )
          | ( (~) @ ( eats @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl55,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( wolf @ X4 ) )
      | ( (~) @ ( fox @ X2 ) )
      | ( (~) @ ( eats @ X4 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl71,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( wolf @ X4 )
      | ~ ( fox @ X2 )
      | ~ ( eats @ X4 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl429,plain,
    ( ( eats @ a_wolf @ a_grain )
    | ~ ( fox @ a_fox )
    | ~ ( wolf @ a_wolf ) ),
    inference('sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl71]) ).

thf(zip_derived_cl20_027,plain,
    fox @ a_fox,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl21_028,plain,
    wolf @ a_wolf,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl437,plain,
    eats @ a_wolf @ a_grain,
    inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl20,zip_derived_cl21]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( wolf @ Y0 ) )
            | ( (~) @ ( grain @ Y1 ) )
            | ( (~) @ ( eats @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( wolf @ X2 ) )
          | ( (~) @ ( grain @ Y0 ) )
          | ( (~) @ ( eats @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl54,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( wolf @ X2 ) )
      | ( (~) @ ( grain @ X4 ) )
      | ( (~) @ ( eats @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl70,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( wolf @ X2 )
      | ~ ( grain @ X4 )
      | ~ ( eats @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl445,plain,
    ( ~ ( grain @ a_grain )
    | ~ ( wolf @ a_wolf ) ),
    inference('sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl70]) ).

thf(zip_derived_cl16_029,plain,
    grain @ a_grain,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl21_030,plain,
    wolf @ a_wolf,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl453,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl16,zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : PUZ031^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CiFLot0thh true
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 15:09:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.56/0.70  % Total configuration time : 828
% 0.56/0.70  % Estimated wc time : 1656
% 0.56/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.84  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.90  % Solved by lams/20_acsne_simpl.sh.
% 0.59/0.90  % done 215 iterations in 0.103s
% 0.59/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.90  % SZS output start Refutation
% See solution above
% 0.59/0.90  
% 0.59/0.90  
% 0.59/0.90  % Terminating...
% 0.61/1.00  % Runner terminated.
% 2.49/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------