%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT029+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.80KHPkDlDh true

% Computer : n011.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 Aug 31 09:19:58 EDT 2023

% Result   : Theorem 11.98s 2.29s
% Output   : Refutation 11.98s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
thf(stable_type,type,
    stable: $i > $o ).

thf(equilibrium_type,type,
    equilibrium: $i > $i ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf(in_environment_type,type,
    in_environment: $i > $i > $o ).

thf(growth_rate_type,type,
    growth_rate: $i > $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(subpopulations_type,type,
    subpopulations: $i > $i > $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $o ).

thf(efficient_producers_type,type,
    efficient_producers: $i ).

thf(environment_type,type,
    environment: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(greater_or_equal_type,type,
    greater_or_equal: $i > $i > $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $o ).

thf(first_movers_type,type,
    first_movers: $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $o ).

thf(prove_l11,conjecture,
    ! [E: $i] :
      ( ( ( environment @ E )
        & ( stable @ E ) )
     => ? [To: $i] :
          ( ! [T: $i] :
              ( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
                & ( greater_or_equal @ T @ To ) )
             => ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
                & ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) )
          & ( in_environment @ E @ To ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [E: $i] :
        ( ( ( environment @ E )
          & ( stable @ E ) )
       => ? [To: $i] :
            ( ! [T: $i] :
                ( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
                  & ( greater_or_equal @ T @ To ) )
               => ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
                  & ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) )
            & ( in_environment @ E @ To ) ) ),
    inference('cnf.neg',[status(esa)],[prove_l11]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_001,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l6,axiom,
    ! [E: $i,T: $i] :
      ( ( ( greater_or_equal @ T @ ( equilibrium @ E ) )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
        & ( environment @ E ) )
     => ( ( ( greater @ zero @ ( growth_rate @ first_movers @ T ) )
          & ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero ) )
        | ( ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) )
          & ( greater @ ( growth_rate @ first_movers @ T ) @ zero ) )
        | ( ( ( growth_rate @ efficient_producers @ T )
            = zero )
          & ( ( growth_rate @ first_movers @ T )
            = zero ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_2: $i > $o ).

thf(zf_stmt_2,axiom,
    ! [T: $i] :
      ( ( zip_tseitin_2 @ T )
     => ( ( ( growth_rate @ first_movers @ T )
          = zero )
        & ( ( growth_rate @ efficient_producers @ T )
          = zero ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_4,axiom,
    ! [T: $i] :
      ( ( zip_tseitin_1 @ T )
     => ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
        & ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_6,axiom,
    ! [T: $i] :
      ( ( zip_tseitin_0 @ T )
     => ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
        & ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ).

thf(zf_stmt_7,axiom,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
        & ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
     => ( ( zip_tseitin_2 @ T )
        | ( zip_tseitin_1 @ T )
        | ( zip_tseitin_0 @ T ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
      | ( zip_tseitin_2 @ X1 )
      | ( zip_tseitin_1 @ X1 )
      | ( zip_tseitin_0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( zip_tseitin_0 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ~ ( environment @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).

thf(zip_derived_cl16,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( zip_tseitin_0 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl16]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_0 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl18]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_0 @ ( sk__3 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl5]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl100,plain,
    ( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl97]) ).

thf(zip_derived_cl101,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(a4,axiom,
    ! [E: $i] :
      ( ( ( environment @ E )
        & ( stable @ E ) )
     => ? [T: $i] :
          ( ( greater_or_equal @ T @ ( equilibrium @ E ) )
          & ( in_environment @ E @ T ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__1 @ X0 ) @ ( equilibrium @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl16_002,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_003,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__1 @ X0 ) @ ( equilibrium @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(mp_greater_or_equal,axiom,
    ! [X: $i,Y: $i] :
      ( ( greater_or_equal @ X @ Y )
    <=> ( ( greater @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( greater @ X1 @ X0 )
      | ~ ( greater_or_equal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( stable @ X0 )
      | ( greater @ ( sk__1 @ X0 ) @ ( equilibrium @ X0 ) )
      | ( ( sk__1 @ X0 )
        = ( equilibrium @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).

thf(zip_derived_cl87,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ~ ( stable @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl62]) ).

thf(zip_derived_cl17,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl17]) ).

thf(zip_derived_cl15_004,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl19_005,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( greater @ X1 @ X0 )
      | ~ ( greater_or_equal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( sk__3 @ X0 ) @ X0 )
      | ( ( sk__3 @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl33]) ).

thf(zip_derived_cl16_007,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_008,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl16,zip_derived_cl17]) ).

thf(mp_greater_transitivity,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( greater @ X @ Y )
        & ( greater @ Y @ Z ) )
     => ( greater @ X @ Z ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ~ ( greater @ X1 @ X2 )
      | ( greater @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mp_greater_transitivity]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
        = ( sk__1 @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl0]) ).

thf(zip_derived_cl107,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl61]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl97_009,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl97]) ).

thf(zip_derived_cl109,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl98]) ).

thf(zip_derived_cl114,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl109]) ).

thf(zip_derived_cl16_010,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_011,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl19_012,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_013,plain,
    ! [X0: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l1,axiom,
    ! [E: $i] :
      ( ( ( environment @ E )
        & ( stable @ E ) )
     => ? [To: $i] :
          ( ! [T: $i] :
              ( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
                & ( greater_or_equal @ T @ To ) )
             => ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
          & ( in_environment @ E @ To ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
      | ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( environment @ sk__2 )
      | ~ ( stable @ sk__2 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).

thf(zip_derived_cl16_014,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_015,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ~ ( greater @ X1 @ X2 )
      | ( greater @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mp_greater_transitivity]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ X1 )
      | ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl0]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
      | ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ X0 )
      | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl110]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ X0 )
      | ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ X0 )
      | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl177]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl223,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl180,zip_derived_cl7]) ).

thf(zip_derived_cl64_017,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl0_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ~ ( greater @ X1 @ X2 )
      | ( greater @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mp_greater_transitivity]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_1 @ X0 )
      | ( greater @ zero @ X1 )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl26]) ).

thf(zip_derived_cl18_019,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl18]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl232,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl125]) ).

thf(zip_derived_cl236,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl232]) ).

thf(zip_derived_cl19_020,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl15_021,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl15_022,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl15_023,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl15_024,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl19_025,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl88_026,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl17]) ).

thf(zip_derived_cl17_027,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_028,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl13_029,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(mp_times_in_environment,axiom,
    ! [E: $i,T1: $i,T2: $i] :
      ( ( ( in_environment @ E @ T1 )
        & ( in_environment @ E @ T2 ) )
     => ( ( greater @ T2 @ T1 )
        | ( T2 = T1 )
        | ( greater @ T1 @ T2 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in_environment @ X0 @ X1 )
      | ~ ( in_environment @ X0 @ X2 )
      | ( greater @ X2 @ X1 )
      | ( X2 = X1 )
      | ( greater @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[mp_times_in_environment]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( stable @ X0 )
      | ( greater @ ( sk_ @ X0 ) @ X1 )
      | ( X1
        = ( sk_ @ X0 ) )
      | ( greater @ X1 @ ( sk_ @ X0 ) )
      | ~ ( in_environment @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( stable @ X0 )
      | ( greater @ ( sk__1 @ X0 ) @ ( sk_ @ X0 ) )
      | ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) )
      | ( greater @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl34]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( greater @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) )
      | ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) )
      | ( greater @ ( sk__1 @ X0 ) @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl133,plain,
    ( ~ ( environment @ sk__2 )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl92]) ).

thf(zip_derived_cl16_030,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).

thf(zip_derived_cl0_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ~ ( greater @ X1 @ X2 )
      | ( greater @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mp_greater_transitivity]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ sk__2 )
        = ( sk_ @ sk__2 ) )
      | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
      | ( greater @ ( sk_ @ sk__2 ) @ X0 )
      | ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl0]) ).

thf(zip_derived_cl167,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl165]) ).

thf(zip_derived_cl3_032,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl13_033,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl13_034,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl15_035,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl13_036,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl13_037,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl167_038,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl165]) ).

thf(zip_derived_cl13_039,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl33_040,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( sk__3 @ X0 ) @ X0 )
      | ( ( sk__3 @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).

thf(zip_derived_cl51,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl33]) ).

thf(zip_derived_cl16_041,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_042,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl0_043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ~ ( greater @ X1 @ X2 )
      | ( greater @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mp_greater_transitivity]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
        = ( sk_ @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk_ @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl0]) ).

thf(zip_derived_cl169,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl60]) ).

thf(zip_derived_cl98_044,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl97]) ).

thf(zip_derived_cl186,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl98]) ).

thf(zip_derived_cl187,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl186]) ).

thf(zip_derived_cl16_045,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_046,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl188,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl237_047,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl238,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl237]) ).

thf(zip_derived_cl244,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl238]) ).

thf(zip_derived_cl16_048,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_049,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3_050,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl115_051,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl15_052,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl115_053,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl245_054,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl61_055,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
        = ( sk__1 @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl0]) ).

thf(zip_derived_cl247,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl61]) ).

thf(zip_derived_cl3_056,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl110_057,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ X1 )
      | ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl0]) ).

thf(zip_derived_cl7_058,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl7]) ).

thf(zip_derived_cl125_059,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl174,zip_derived_cl125]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl261]) ).

thf(zip_derived_cl267,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl262]) ).

thf(zip_derived_cl286,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl267]) ).

thf(zip_derived_cl287,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl286]) ).

thf(zip_derived_cl292,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl287]) ).

thf(zip_derived_cl16_060,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_061,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_062,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl295,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl10]) ).

thf(zip_derived_cl10_063,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl299,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl10]) ).

thf(zip_derived_cl13_064,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl19_065,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_066,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl293_067,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl294,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl9]) ).

thf(zip_derived_cl64_068,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl329,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl64]) ).

thf(zip_derived_cl364,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl329]) ).

thf(zip_derived_cl16_069,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_070,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl368,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl365]) ).

thf(zip_derived_cl369,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl368]) ).

thf(zip_derived_cl16_071,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_072,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl370,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl375,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl299,zip_derived_cl370]) ).

thf(zip_derived_cl376,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl375]) ).

thf(zip_derived_cl380,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl376]) ).

thf(zip_derived_cl381,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl380]) ).

thf(zip_derived_cl8_073,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl384,plain,
    ( ( greater @ zero @ zero )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl381,zip_derived_cl8]) ).

thf(zip_derived_cl391,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl384]) ).

thf(zip_derived_cl392,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl391]) ).

thf(zip_derived_cl393,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl392]) ).

thf(zip_derived_cl9_074,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl394,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl9]) ).

thf(zip_derived_cl247_075,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl61]) ).

thf(zip_derived_cl3_076,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl15_077,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl381_078,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl380]) ).

thf(zip_derived_cl64_079,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl389,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl381,zip_derived_cl64]) ).

thf(zip_derived_cl411,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl389]) ).

thf(zip_derived_cl16_080,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_081,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl412,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl411,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl413,plain,
    ( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl412]) ).

thf(zip_derived_cl415,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl413]) ).

thf(zip_derived_cl416,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl415]) ).

thf(zip_derived_cl423,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl394,zip_derived_cl416]) ).

thf(zip_derived_cl425,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl423]) ).

thf(zip_derived_cl10_082,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl428,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl10]) ).

thf(zip_derived_cl13_083,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl19_084,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_085,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl425_086,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl423]) ).

thf(zip_derived_cl9_087,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl427,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl9]) ).

thf(zip_derived_cl64_088,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl438,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl427,zip_derived_cl64]) ).

thf(zip_derived_cl478,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl438]) ).

thf(zip_derived_cl16_089,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_090,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl479,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl482,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl479]) ).

thf(zip_derived_cl483,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl482]) ).

thf(zip_derived_cl16_091,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_092,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl484,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl490,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl484]) ).

thf(zip_derived_cl492,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl490]) ).

thf(zip_derived_cl370_093,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl13_094,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl492_095,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl490]) ).

thf(zip_derived_cl294_096,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl9]) ).

thf(zip_derived_cl18_097,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl18]) ).

thf(zip_derived_cl498,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl328]) ).

thf(zip_derived_cl501,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl503,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl501]) ).

thf(zip_derived_cl16_098,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_099,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl504,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl503,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl507,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl504]) ).

thf(zip_derived_cl509,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl507]) ).

thf(zip_derived_cl10_100,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl512,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl10]) ).

thf(zip_derived_cl15_101,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl492_102,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl490]) ).

thf(zip_derived_cl509_103,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl507]) ).

thf(zip_derived_cl9_104,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl511,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl9]) ).

thf(zip_derived_cl18_105,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl18]) ).

thf(zip_derived_cl548,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl525]) ).

thf(zip_derived_cl549,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl548]) ).

thf(zip_derived_cl550,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl549]) ).

thf(zip_derived_cl16_106,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_107,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl551,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl550,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl554,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl551]) ).

thf(zip_derived_cl555,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl554]) ).

thf(zip_derived_cl556,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl555]) ).

thf(zip_derived_cl557,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl10_108,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl15_109,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl115_110,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl167_111,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl165]) ).

thf(zip_derived_cl3_112,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl13_113,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl557_114,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl97_115,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl563,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl97]) ).

thf(zip_derived_cl237_116,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl618,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl563,zip_derived_cl237]) ).

thf(zip_derived_cl619,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl618]) ).

thf(zip_derived_cl16_117,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_118,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl621,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl620]) ).

thf(zip_derived_cl623,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl621]) ).

thf(zip_derived_cl624,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl623]) ).

thf(zip_derived_cl61_119,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
        = ( sk__1 @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl0]) ).

thf(zip_derived_cl626,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl61]) ).

thf(zip_derived_cl629,plain,
    ( ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl626]) ).

thf(zip_derived_cl262_120,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl261]) ).

thf(zip_derived_cl633,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl262]) ).

thf(zip_derived_cl634,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl633]) ).

thf(zip_derived_cl635,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl634]) ).

thf(zip_derived_cl636,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl635]) ).

thf(zip_derived_cl16_121,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_122,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl637,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_123,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl638,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl9]) ).

thf(zip_derived_cl13_124,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl557_125,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl64_126,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl562,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl64]) ).

thf(zip_derived_cl19_127,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl875,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl562,zip_derived_cl19]) ).

thf(zip_derived_cl876,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl875]) ).

thf(zip_derived_cl16_128,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_129,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl877,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl882,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl877]) ).

thf(zip_derived_cl884,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl882]) ).

thf(zip_derived_cl557_130,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl637_131,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_132,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl639,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl10]) ).

thf(zip_derived_cl10_133,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl731,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl10]) ).

thf(zip_derived_cl13_134,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl557_135,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl64_136,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl561,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl64]) ).

thf(zip_derived_cl19_137,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl841,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl561,zip_derived_cl19]) ).

thf(zip_derived_cl842,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl841]) ).

thf(zip_derived_cl16_138,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_139,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl843,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl842,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl848,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl843]) ).

thf(zip_derived_cl850,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl848]) ).

thf(zip_derived_cl13_140,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl557_141,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl18_142,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl558,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl18]) ).

thf(zip_derived_cl589,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl558]) ).

thf(zip_derived_cl16_143,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_144,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl857,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl850,zip_derived_cl590]) ).

thf(zip_derived_cl858,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl857]) ).

thf(zip_derived_cl862,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl858]) ).

thf(zip_derived_cl864,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl862]) ).

thf(zip_derived_cl890,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl884,zip_derived_cl864]) ).

thf(zip_derived_cl891,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl890]) ).

thf(zip_derived_cl895,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl891]) ).

thf(zip_derived_cl896,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl895]) ).

thf(zip_derived_cl15_145,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl557_146,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl115_147,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl896_148,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl895]) ).

thf(zip_derived_cl8_149,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl899,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl896,zip_derived_cl8]) ).

thf(zip_derived_cl909,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl899]) ).

thf(zip_derived_cl910,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl909]) ).

thf(zip_derived_cl9_150,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl911,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl9]) ).

thf(zip_derived_cl629_151,plain,
    ( ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl626]) ).

thf(zip_derived_cl3_152,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl15_153,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl896_154,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl895]) ).

thf(zip_derived_cl64_155,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl904,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl896,zip_derived_cl64]) ).

thf(zip_derived_cl952,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl904]) ).

thf(zip_derived_cl16_156,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_157,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl953,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl952,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl954,plain,
    ( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl953]) ).

thf(zip_derived_cl956,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl954]) ).

thf(zip_derived_cl958,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl956]) ).

thf(zip_derived_cl967,plain,
    ( ( greater @ zero @ zero )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl911,zip_derived_cl958]) ).

thf(zip_derived_cl971,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl967]) ).

thf(zip_derived_cl976,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl971]) ).

thf(zip_derived_cl977,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl976]) ).

thf(zip_derived_cl557_158,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl637_159,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl642,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl637]) ).

thf(zip_derived_cl643,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl642]) ).

thf(zip_derived_cl9_160,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl644,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl9]) ).

thf(zip_derived_cl18_161,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl18]) ).

thf(zip_derived_cl981,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl977,zip_derived_cl654]) ).

thf(zip_derived_cl985,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl981]) ).

thf(zip_derived_cl1026,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl985]) ).

thf(zip_derived_cl16_162,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_163,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1027,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl1026,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1030,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl1027]) ).

thf(zip_derived_cl1031,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1030]) ).

thf(zip_derived_cl977_164,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl976]) ).

thf(zip_derived_cl1032,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1031,zip_derived_cl977]) ).

thf(zip_derived_cl10_165,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1034,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1032,zip_derived_cl10]) ).

thf(zip_derived_cl1032_166,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1031,zip_derived_cl977]) ).

thf(zip_derived_cl9_167,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1033,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1032,zip_derived_cl9]) ).

thf(zip_derived_cl13_168,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl557_169,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl20_170,plain,
    ! [X0: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl560,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl20]) ).

thf(zip_derived_cl596,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl560]) ).

thf(zip_derived_cl16_171,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_172,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl597,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl596,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl12_173,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
      | ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl599,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl12]) ).

thf(zip_derived_cl16_174,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_175,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl599,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl13_176,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl557_177,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl19_178,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl559,plain,
    ( ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl557,zip_derived_cl19]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl559]) ).

thf(zip_derived_cl16_179,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_180,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl594,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl602,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl601,zip_derived_cl594]) ).

thf(zip_derived_cl1057,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1033,zip_derived_cl602]) ).

thf(zip_derived_cl1062,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1057]) ).

thf(zip_derived_cl1084,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1034,zip_derived_cl1062]) ).

thf(zip_derived_cl1085,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1084]) ).

thf(zip_derived_cl1033_181,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1032,zip_derived_cl9]) ).

thf(zip_derived_cl590_182,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1056,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1033,zip_derived_cl590]) ).

thf(zip_derived_cl1061,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1056]) ).

thf(zip_derived_cl1090,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1085,zip_derived_cl1061]) ).

thf(zip_derived_cl1092,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1090]) ).

thf(zip_derived_cl1096,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl1092]) ).

thf(zip_derived_cl1097,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1096]) ).

thf(zip_derived_cl1062_183,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1057]) ).

thf(zip_derived_cl1098,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl15_184,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl1098_185,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl3_186,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl15_187,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl1098_188,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl97_189,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl1104,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl97]) ).

thf(zip_derived_cl1175,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1104]) ).

thf(zip_derived_cl16_190,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_191,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1176,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1175,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1177,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1176]) ).

thf(zip_derived_cl88_192,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl17]) ).

thf(zip_derived_cl1181,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1177,zip_derived_cl88]) ).

thf(zip_derived_cl1186,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl1181]) ).

thf(zip_derived_cl1187,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1186]) ).

thf(zip_derived_cl10_193,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1195,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1187,zip_derived_cl10]) ).

thf(zip_derived_cl64_194,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1284,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1195,zip_derived_cl64]) ).

thf(zip_derived_cl1446,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1284]) ).

thf(zip_derived_cl16_195,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_196,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1447,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1446,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1450,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl1447]) ).

thf(zip_derived_cl1451,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1450]) ).

thf(zip_derived_cl1098_197,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl15_198,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl1098_199,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl261_200,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl174,zip_derived_cl125]) ).

thf(zip_derived_cl1111,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl261]) ).

thf(zip_derived_cl1126,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1111]) ).

thf(zip_derived_cl16_201,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_202,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1127,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1126,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1129,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl1127]) ).

thf(zip_derived_cl1131,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1129]) ).

thf(zip_derived_cl1454,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1451,zip_derived_cl1131]) ).

thf(zip_derived_cl1455,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1454]) ).

thf(zip_derived_cl1457,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl1455]) ).

thf(zip_derived_cl1458,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1457]) ).

thf(zip_derived_cl18_203,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1748,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1458,zip_derived_cl18]) ).

thf(zip_derived_cl245_204,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3_205,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl1098_206,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl15_207,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl1187_208,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1186]) ).

thf(zip_derived_cl9_209,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1194,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1187,zip_derived_cl9]) ).

thf(zip_derived_cl64_210,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1225,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1194,zip_derived_cl64]) ).

thf(zip_derived_cl1428,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1225]) ).

thf(zip_derived_cl16_211,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_212,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1429,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl1428,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1432,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl1429]) ).

thf(zip_derived_cl1433,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1432]) ).

thf(zip_derived_cl1131_213,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1129]) ).

thf(zip_derived_cl1434,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl1433,zip_derived_cl1131]) ).

thf(zip_derived_cl1435,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1434]) ).

thf(zip_derived_cl1437,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl1435]) ).

thf(zip_derived_cl1438,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1437]) ).

thf(zip_derived_cl1758,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1748,zip_derived_cl1438]) ).

thf(zip_derived_cl1759,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1758]) ).

thf(zip_derived_cl16_214,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_215,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1760,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1759,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_216,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1762,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl10]) ).

thf(zip_derived_cl13_217,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl1760_218,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1759,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_219,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1761,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl9]) ).

thf(zip_derived_cl64_220,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1772,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1761,zip_derived_cl64]) ).

thf(zip_derived_cl19_221,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1829,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl1772,zip_derived_cl19]) ).

thf(zip_derived_cl1830,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1829]) ).

thf(zip_derived_cl16_222,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_223,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1831,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1830,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1841,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1762,zip_derived_cl1831]) ).

thf(zip_derived_cl1842,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1841]) ).

thf(zip_derived_cl1761_224,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl9]) ).

thf(zip_derived_cl18_225,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1771,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1761,zip_derived_cl18]) ).

thf(zip_derived_cl1848,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1842,zip_derived_cl1771]) ).

thf(zip_derived_cl1851,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1848]) ).

thf(zip_derived_cl1831_226,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1830,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1853,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1851,zip_derived_cl1831]) ).

thf(zip_derived_cl1854,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1853]) ).

thf(zip_derived_cl16_227,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_228,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1855,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl20_229,plain,
    ! [X0: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1858,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1855,zip_derived_cl20]) ).

thf(zip_derived_cl1880,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1858]) ).

thf(zip_derived_cl16_230,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_231,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1881,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1880,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl11_232,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
      | ( zip_tseitin_2 @ X1 )
      | ( zip_tseitin_1 @ X1 )
      | ( zip_tseitin_0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1882,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_0 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ~ ( environment @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1881,zip_derived_cl11]) ).

thf(zip_derived_cl16_233,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1884,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_0 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1882,zip_derived_cl16]) ).

thf(zip_derived_cl1855_234,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl13_235,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl48_236,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_0 @ ( sk__3 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl5]) ).

thf(zip_derived_cl49,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( zip_tseitin_0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl48]) ).

thf(zip_derived_cl16_237,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_238,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ~ ( zip_tseitin_0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1870,plain,
    ( ~ ( zip_tseitin_0 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1855,zip_derived_cl50]) ).

thf(zip_derived_cl1909,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1884,zip_derived_cl1870]) ).

thf(zip_derived_cl1910,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1909]) ).

thf(zip_derived_cl1912,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl1910]) ).

thf(zip_derived_cl1913,plain,
    ( ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1912]) ).

thf(zip_derived_cl3_239,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl1098_240,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl1187_241,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1186]) ).

thf(zip_derived_cl1198,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl1187]) ).

thf(zip_derived_cl1199,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1198]) ).

thf(zip_derived_cl1131_242,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1129]) ).

thf(zip_derived_cl1202,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1199,zip_derived_cl1131]) ).

thf(zip_derived_cl1205,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1202]) ).

thf(zip_derived_cl1207,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1205]) ).

thf(zip_derived_cl1925,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1913,zip_derived_cl1207]) ).

thf(zip_derived_cl1939,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1925]) ).

thf(zip_derived_cl1855_243,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl237_244,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl1875,plain,
    ( ~ ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1855,zip_derived_cl237]) ).

thf(zip_derived_cl1950,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1939,zip_derived_cl1875]) ).

thf(zip_derived_cl1954,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1950]) ).

thf(zip_derived_cl1958,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1954]) ).

thf(zip_derived_cl16_245,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_246,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1959,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_247,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1967,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1959,zip_derived_cl10]) ).

thf(zip_derived_cl10_248,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1997,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1967,zip_derived_cl10]) ).

thf(zip_derived_cl1855_249,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1997_250,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1967,zip_derived_cl10]) ).

thf(zip_derived_cl1881_251,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1880,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl12_252,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
      | ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl1883,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1881,zip_derived_cl12]) ).

thf(zip_derived_cl16_253,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_254,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1885,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1883,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl13_255,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl1855_256,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl19_257,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1857,plain,
    ( ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1855,zip_derived_cl19]) ).

thf(zip_derived_cl1877,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1857]) ).

thf(zip_derived_cl16_258,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_259,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1878,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1877,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1914,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1885,zip_derived_cl1878]) ).

thf(zip_derived_cl2022,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1997,zip_derived_cl1914]) ).

thf(zip_derived_cl2023,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2022]) ).

thf(zip_derived_cl13_260,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl1855_261,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl18_262,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1856,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1855,zip_derived_cl18]) ).

thf(zip_derived_cl1886,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1856]) ).

thf(zip_derived_cl16_263,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_264,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1887,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1886,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl2105,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2023,zip_derived_cl1887]) ).

thf(zip_derived_cl2110,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2105]) ).

thf(zip_derived_cl2113,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1855,zip_derived_cl2110]) ).

thf(zip_derived_cl2114,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2113]) ).

thf(zip_derived_cl2121,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1997,zip_derived_cl2114]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2121]) ).

thf(zip_derived_cl1997_265,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1967,zip_derived_cl10]) ).

thf(zip_derived_cl1959_266,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_267,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1966,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1959,zip_derived_cl9]) ).

thf(zip_derived_cl1914_268,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1885,zip_derived_cl1878]) ).

thf(zip_derived_cl1978,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1966,zip_derived_cl1914]) ).

thf(zip_derived_cl1982,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1978]) ).

thf(zip_derived_cl2031,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1997,zip_derived_cl1982]) ).

thf(zip_derived_cl2032,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2031]) ).

thf(zip_derived_cl10_269,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2086,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2032,zip_derived_cl10]) ).

thf(zip_derived_cl2124,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2123,zip_derived_cl2086]) ).

thf(zip_derived_cl1098_270,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl1855_271,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl167_272,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl165]) ).

thf(zip_derived_cl3_273,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl13_274,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl1855_275,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl97_276,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl1861,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1855,zip_derived_cl97]) ).

thf(zip_derived_cl237_277,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl2043,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1861,zip_derived_cl237]) ).

thf(zip_derived_cl2044,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2043]) ).

thf(zip_derived_cl16_278,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_279,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2045,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl2046,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2045]) ).

thf(zip_derived_cl2048,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl2046]) ).

thf(zip_derived_cl2049,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2048]) ).

thf(zip_derived_cl3_280,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl1181_281,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1177,zip_derived_cl88]) ).

thf(zip_derived_cl1127_282,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1126,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1185,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1181,zip_derived_cl1127]) ).

thf(zip_derived_cl1189,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1185]) ).

thf(zip_derived_cl1190,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1189]) ).

thf(zip_derived_cl2055,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2049,zip_derived_cl1190]) ).

thf(zip_derived_cl2069,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2055]) ).

thf(zip_derived_cl2204,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1855,zip_derived_cl2069]) ).

thf(zip_derived_cl2205,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2204]) ).

thf(zip_derived_cl10_283,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2207,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2205,zip_derived_cl10]) ).

thf(zip_derived_cl1855_284,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl2124_285,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2123,zip_derived_cl2086]) ).

thf(zip_derived_cl1098_286,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl2049_287,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2048]) ).

thf(zip_derived_cl1435_288,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1434]) ).

thf(zip_derived_cl2063,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2049,zip_derived_cl1435]) ).

thf(zip_derived_cl2077,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2063]) ).

thf(zip_derived_cl2509,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl2077]) ).

thf(zip_derived_cl2514,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2509]) ).

thf(zip_derived_cl2529,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2124,zip_derived_cl2514]) ).

thf(zip_derived_cl2530,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2529]) ).

thf(zip_derived_cl2535,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1855,zip_derived_cl2530]) ).

thf(zip_derived_cl2536,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2535]) ).

thf(zip_derived_cl1855_289,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1199_290,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1198]) ).

thf(zip_derived_cl2124_291,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2123,zip_derived_cl2086]) ).

thf(zip_derived_cl8_292,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl2126,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2124,zip_derived_cl8]) ).

thf(zip_derived_cl2132,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1199,zip_derived_cl2126]) ).

thf(zip_derived_cl2134,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2132]) ).

thf(zip_derived_cl1966_293,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1959,zip_derived_cl9]) ).

thf(zip_derived_cl1887_294,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1886,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl1976,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1966,zip_derived_cl1887]) ).

thf(zip_derived_cl1980,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1976]) ).

thf(zip_derived_cl2142,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2134,zip_derived_cl1980]) ).

thf(zip_derived_cl2147,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2142]) ).

thf(zip_derived_cl2164,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1855,zip_derived_cl2147]) ).

thf(zip_derived_cl2165,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2164]) ).

thf(zip_derived_cl1982_295,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1978]) ).

thf(zip_derived_cl2166,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2165,zip_derived_cl1982]) ).

thf(zip_derived_cl9_296,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2167,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2166,zip_derived_cl9]) ).

thf(zip_derived_cl15_297,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl1098_298,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl1062]) ).

thf(zip_derived_cl18_299,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1099,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl18]) ).

thf(zip_derived_cl1124,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1099]) ).

thf(zip_derived_cl16_300,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_301,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1125,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1124,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl2177,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2167,zip_derived_cl1125]) ).

thf(zip_derived_cl2178,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2177]) ).

thf(zip_derived_cl2541,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2536,zip_derived_cl2178]) ).

thf(zip_derived_cl2544,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2541]) ).

thf(zip_derived_cl2550,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2207,zip_derived_cl2544]) ).

thf(zip_derived_cl2556,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2550]) ).

thf(zip_derived_cl2536_302,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2535]) ).

thf(zip_derived_cl2560,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2556,zip_derived_cl2536]) ).

thf(zip_derived_cl10_303,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2562,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2560,zip_derived_cl10]) ).

thf(zip_derived_cl2560_304,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2556,zip_derived_cl2536]) ).

thf(zip_derived_cl9_305,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2561,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2560,zip_derived_cl9]) ).

thf(zip_derived_cl1914_306,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1885,zip_derived_cl1878]) ).

thf(zip_derived_cl2573,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2561,zip_derived_cl1914]) ).

thf(zip_derived_cl2577,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2573]) ).

thf(zip_derived_cl2610,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2562,zip_derived_cl2577]) ).

thf(zip_derived_cl2611,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2610]) ).

thf(zip_derived_cl2178_307,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2177]) ).

thf(zip_derived_cl2617,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2611,zip_derived_cl2178]) ).

thf(zip_derived_cl2621,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2617]) ).

thf(zip_derived_cl2627,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl2621]) ).

thf(zip_derived_cl2630,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2627]) ).

thf(zip_derived_cl2636,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2124,zip_derived_cl2630]) ).

thf(zip_derived_cl2638,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2636]) ).

thf(zip_derived_cl2611_308,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2610]) ).

thf(zip_derived_cl2639,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl97_309,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl2642,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
      | ( ( sk__1 @ sk__2 )
        = ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2639,zip_derived_cl97]) ).

thf(zip_derived_cl2657,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl2642]) ).

thf(zip_derived_cl2658,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2657]) ).

thf(zip_derived_cl2670,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2658]) ).

thf(zip_derived_cl16_310,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_311,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2671,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2670,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl134_312,plain,
    ( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).

thf(zip_derived_cl2639_313,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl3_314,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl13_315,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl13_316,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl2639_317,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl2639_318,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl15_319,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl2639_320,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl101_321,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl2644,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2639,zip_derived_cl101]) ).

thf(zip_derived_cl2668,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2644]) ).

thf(zip_derived_cl16_322,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_323,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2669,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2668,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl2676,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2639,zip_derived_cl2669]) ).

thf(zip_derived_cl2677,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2676]) ).

thf(zip_derived_cl9_324,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2691,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2677,zip_derived_cl9]) ).

thf(zip_derived_cl2713,plain,
    ( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2639,zip_derived_cl2691]) ).

thf(zip_derived_cl2714,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2713]) ).

thf(zip_derived_cl10_325,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl15_326,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl2671_327,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2670,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl13_328,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl134_329,plain,
    ( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).

thf(zip_derived_cl60_330,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
        = ( sk_ @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk_ @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl0]) ).

thf(zip_derived_cl166,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl60]) ).

thf(zip_derived_cl2639_331,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl98_332,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl97]) ).

thf(zip_derived_cl2643,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
      | ( ( sk__1 @ sk__2 )
        = ( sk_ @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2639,zip_derived_cl98]) ).

thf(zip_derived_cl2663,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl2643]) ).

thf(zip_derived_cl2665,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2663]) ).

thf(zip_derived_cl237_333,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl2895,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2665,zip_derived_cl237]) ).

thf(zip_derived_cl2896,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2895]) ).

thf(zip_derived_cl16_334,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_335,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2897,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2896,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl61_336,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
        = ( sk__1 @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl0]) ).

thf(zip_derived_cl2899,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2897,zip_derived_cl61]) ).

thf(zip_derived_cl262_337,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl261]) ).

thf(zip_derived_cl2915,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2899,zip_derived_cl262]) ).

thf(zip_derived_cl2921,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2671,zip_derived_cl2915]) ).

thf(zip_derived_cl2925,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2921]) ).

thf(zip_derived_cl2948,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2925]) ).

thf(zip_derived_cl16_338,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_339,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2949,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2948,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_340,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2951,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2949,zip_derived_cl10]) ).

thf(zip_derived_cl10_341,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2994,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2951,zip_derived_cl10]) ).

thf(zip_derived_cl13_342,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl2949_343,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2948,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_344,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl2950,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2949,zip_derived_cl9]) ).

thf(zip_derived_cl64_345,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl2961,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2950,zip_derived_cl64]) ).

thf(zip_derived_cl19_346,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3127,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl2961,zip_derived_cl19]) ).

thf(zip_derived_cl3128,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3127]) ).

thf(zip_derived_cl16_347,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_348,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3129,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3128,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3146,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2994,zip_derived_cl3129]) ).

thf(zip_derived_cl3147,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3146]) ).

thf(zip_derived_cl3151,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl3147]) ).

thf(zip_derived_cl3152,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3151]) ).

thf(zip_derived_cl8_349,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl3155,plain,
    ( ( greater @ zero @ zero )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3152,zip_derived_cl8]) ).

thf(zip_derived_cl3162,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3155]) ).

thf(zip_derived_cl3170,plain,
    ( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2714,zip_derived_cl3162]) ).

thf(zip_derived_cl3174,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3170]) ).

thf(zip_derived_cl2899_350,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2897,zip_derived_cl61]) ).

thf(zip_derived_cl3_351,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl15_352,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl3152_353,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3151]) ).

thf(zip_derived_cl64_354,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3160,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3152,zip_derived_cl64]) ).

thf(zip_derived_cl3287,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3160]) ).

thf(zip_derived_cl16_355,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_356,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3288,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3287,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3289,plain,
    ( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl3288]) ).

thf(zip_derived_cl3291,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2899,zip_derived_cl3289]) ).

thf(zip_derived_cl3292,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3291]) ).

thf(zip_derived_cl3310,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3174,zip_derived_cl3292]) ).

thf(zip_derived_cl3312,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3310]) ).

thf(zip_derived_cl10_357,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3317,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3312,zip_derived_cl10]) ).

thf(zip_derived_cl13_358,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl3312_359,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3310]) ).

thf(zip_derived_cl9_360,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3316,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3312,zip_derived_cl9]) ).

thf(zip_derived_cl64_361,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3327,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3316,zip_derived_cl64]) ).

thf(zip_derived_cl19_362,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3414,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl3327,zip_derived_cl19]) ).

thf(zip_derived_cl3415,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3414]) ).

thf(zip_derived_cl16_363,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_364,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3416,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl3415,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3422,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3317,zip_derived_cl3416]) ).

thf(zip_derived_cl3424,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3422]) ).

thf(zip_derived_cl2950_365,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2949,zip_derived_cl9]) ).

thf(zip_derived_cl18_366,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2960,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2950,zip_derived_cl18]) ).

thf(zip_derived_cl3434,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3424,zip_derived_cl2960]) ).

thf(zip_derived_cl3443,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3434]) ).

thf(zip_derived_cl3129_367,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3128,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3456,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3443,zip_derived_cl3129]) ).

thf(zip_derived_cl3457,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3456]) ).

thf(zip_derived_cl16_368,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_369,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3458,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3457,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_370,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3477,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3458,zip_derived_cl10]) ).

thf(zip_derived_cl15_371,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl3458_372,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3457,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_373,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3476,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3458,zip_derived_cl9]) ).

thf(zip_derived_cl18_374,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3486,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3476,zip_derived_cl18]) ).

thf(zip_derived_cl3424_375,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3422]) ).

thf(zip_derived_cl3510,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3486,zip_derived_cl3424]) ).

thf(zip_derived_cl3511,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3510]) ).

thf(zip_derived_cl16_376,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_377,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3512,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl3511,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3515,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3477,zip_derived_cl3512]) ).

thf(zip_derived_cl3516,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3515]) ).

thf(zip_derived_cl3424_378,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3422]) ).

thf(zip_derived_cl3517,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl97_379,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl3523,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3517,zip_derived_cl97]) ).

thf(zip_derived_cl237_380,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl3601,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3523,zip_derived_cl237]) ).

thf(zip_derived_cl3602,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3601]) ).

thf(zip_derived_cl16_381,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_382,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3603,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3602,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3604,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl3603]) ).

thf(zip_derived_cl3610,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2639,zip_derived_cl3604]) ).

thf(zip_derived_cl3611,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3610]) ).

thf(zip_derived_cl3614,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl3611]) ).

thf(zip_derived_cl3615,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3614]) ).

thf(zip_derived_cl61_383,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
        = ( sk__1 @ sk__2 ) )
      | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
      | ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl0]) ).

thf(zip_derived_cl3617,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3615,zip_derived_cl61]) ).

thf(zip_derived_cl3620,plain,
    ( ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3617]) ).

thf(zip_derived_cl262_384,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl261]) ).

thf(zip_derived_cl3624,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3620,zip_derived_cl262]) ).

thf(zip_derived_cl3630,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2671,zip_derived_cl3624]) ).

thf(zip_derived_cl3634,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3630]) ).

thf(zip_derived_cl3637,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3634]) ).

thf(zip_derived_cl16_385,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_386,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3638,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3637,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_387,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3639,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3638,zip_derived_cl9]) ).

thf(zip_derived_cl13_388,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl3517_389,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl64_390,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3522,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3517,zip_derived_cl64]) ).

thf(zip_derived_cl19_391,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4244,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3522,zip_derived_cl19]) ).

thf(zip_derived_cl4245,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4244]) ).

thf(zip_derived_cl16_392,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_393,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4246,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4245,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4266,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3639,zip_derived_cl4246]) ).

thf(zip_derived_cl4270,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4266]) ).

thf(zip_derived_cl3517_394,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl3638_395,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3637,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_396,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3640,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3638,zip_derived_cl10]) ).

thf(zip_derived_cl10_397,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3787,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3640,zip_derived_cl10]) ).

thf(zip_derived_cl13_398,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl3517_399,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl64_400,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3521,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3517,zip_derived_cl64]) ).

thf(zip_derived_cl19_401,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4127,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3521,zip_derived_cl19]) ).

thf(zip_derived_cl4128,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4127]) ).

thf(zip_derived_cl16_402,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_403,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4129,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4128,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4135,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3787,zip_derived_cl4129]) ).

thf(zip_derived_cl4137,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4135]) ).

thf(zip_derived_cl13_404,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl3517_405,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl18_406,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3518,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3517,zip_derived_cl18]) ).

thf(zip_derived_cl3545,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3518]) ).

thf(zip_derived_cl16_407,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_408,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3546,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3545,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4144,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4137,zip_derived_cl3546]) ).

thf(zip_derived_cl4145,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4144]) ).

thf(zip_derived_cl4149,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3517,zip_derived_cl4145]) ).

thf(zip_derived_cl4151,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4149]) ).

thf(zip_derived_cl4278,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4270,zip_derived_cl4151]) ).

thf(zip_derived_cl4279,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4278]) ).

thf(zip_derived_cl10_409,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4292,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl4279,zip_derived_cl10]) ).

thf(zip_derived_cl15_410,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl3517_411,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl2714_412,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2713]) ).

thf(zip_derived_cl4292_413,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl4279,zip_derived_cl10]) ).

thf(zip_derived_cl8_414,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl4294,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4292,zip_derived_cl8]) ).

thf(zip_derived_cl4306,plain,
    ( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2714,zip_derived_cl4294]) ).

thf(zip_derived_cl4310,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4306]) ).

thf(zip_derived_cl3620_415,plain,
    ( ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3617]) ).

thf(zip_derived_cl3_416,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl15_417,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl4292_418,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl4279,zip_derived_cl10]) ).

thf(zip_derived_cl64_419,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4299,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4292,zip_derived_cl64]) ).

thf(zip_derived_cl4397,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4299]) ).

thf(zip_derived_cl16_420,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_421,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4398,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4397,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4399,plain,
    ( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4398]) ).

thf(zip_derived_cl4401,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3620,zip_derived_cl4399]) ).

thf(zip_derived_cl4402,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4401]) ).

thf(zip_derived_cl4415,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4310,zip_derived_cl4402]) ).

thf(zip_derived_cl4419,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4415]) ).

thf(zip_derived_cl4425,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3517,zip_derived_cl4419]) ).

thf(zip_derived_cl4426,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4425]) ).

thf(zip_derived_cl3517_422,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl3638_423,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3637,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3643,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3517,zip_derived_cl3638]) ).

thf(zip_derived_cl3644,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3643]) ).

thf(zip_derived_cl9_424,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3645,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3644,zip_derived_cl9]) ).

thf(zip_derived_cl18_425,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3655,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3645,zip_derived_cl18]) ).

thf(zip_derived_cl4432,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4426,zip_derived_cl3655]) ).

thf(zip_derived_cl4440,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4432]) ).

thf(zip_derived_cl4503,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4440]) ).

thf(zip_derived_cl16_426,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_427,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4504,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl4503,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4507,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4292,zip_derived_cl4504]) ).

thf(zip_derived_cl4508,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4507]) ).

thf(zip_derived_cl4426_428,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4425]) ).

thf(zip_derived_cl4509,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4508,zip_derived_cl4426]) ).

thf(zip_derived_cl10_429,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4511,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4509,zip_derived_cl10]) ).

thf(zip_derived_cl3517_430,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3516,zip_derived_cl3424]) ).

thf(zip_derived_cl4509_431,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4508,zip_derived_cl4426]) ).

thf(zip_derived_cl9_432,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4510,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4509,zip_derived_cl9]) ).

thf(zip_derived_cl3546_433,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3545,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4533,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4510,zip_derived_cl3546]) ).

thf(zip_derived_cl4538,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4533]) ).

thf(zip_derived_cl4511_434,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4509,zip_derived_cl10]) ).

thf(zip_derived_cl4419_435,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4415]) ).

thf(zip_derived_cl9_436,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4421,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4419,zip_derived_cl9]) ).

thf(zip_derived_cl4246_437,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4245,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4458,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4421,zip_derived_cl4246]) ).

thf(zip_derived_cl4464,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4458]) ).

thf(zip_derived_cl4554,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4511,zip_derived_cl4464]) ).

thf(zip_derived_cl4560,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4554]) ).

thf(zip_derived_cl4580,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl4538,zip_derived_cl4560]) ).

thf(zip_derived_cl4583,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3517,zip_derived_cl4580]) ).

thf(zip_derived_cl4584,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4583]) ).

thf(zip_derived_cl4592,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4511,zip_derived_cl4584]) ).

thf(zip_derived_cl4596,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4592]) ).

thf(zip_derived_cl4560_438,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4554]) ).

thf(zip_derived_cl4597,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl4597_439,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl2671_440,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2670,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4621,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4597,zip_derived_cl2671]) ).

thf(zip_derived_cl4636,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4621]) ).

thf(zip_derived_cl4694,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4597,zip_derived_cl4636]) ).

thf(zip_derived_cl4695,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4694]) ).

thf(zip_derived_cl4597_441,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl4597_442,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl262_443,plain,
    ! [X0: $i] :
      ( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
      | ~ ( in_environment @ sk__2 @ X0 )
      | ~ ( zip_tseitin_1 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl261]) ).

thf(zip_derived_cl4611,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl262]) ).

thf(zip_derived_cl134_444,plain,
    ( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).

thf(zip_derived_cl2639_445,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2638,zip_derived_cl2611]) ).

thf(zip_derived_cl3_446,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl13_447,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl15_448,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl4695_449,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4694]) ).

thf(zip_derived_cl4597_450,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl2897_451,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2896,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4611_452,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl262]) ).

thf(zip_derived_cl4664,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2897,zip_derived_cl4611]) ).

thf(zip_derived_cl4665,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4664]) ).

thf(zip_derived_cl4862,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl4665]) ).

thf(zip_derived_cl4866,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4862]) ).

thf(zip_derived_cl4867,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4695,zip_derived_cl4866]) ).

thf(zip_derived_cl4870,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4867]) ).

thf(zip_derived_cl4931,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4870]) ).

thf(zip_derived_cl16_453,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_454,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4932,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4931,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_455,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4934,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4932,zip_derived_cl10]) ).

thf(zip_derived_cl13_456,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl4932_457,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4931,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_458,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4933,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4932,zip_derived_cl9]) ).

thf(zip_derived_cl13_459,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl4636_460,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4621]) ).

thf(zip_derived_cl10_461,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl4691,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4636,zip_derived_cl10]) ).

thf(zip_derived_cl2897_462,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2896,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl3_463,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl4597_464,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl15_465,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl4597_466,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl2714_467,plain,
    ( ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2713]) ).

thf(zip_derived_cl4626,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4597,zip_derived_cl2714]) ).

thf(zip_derived_cl4641,plain,
    ( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4626]) ).

thf(zip_derived_cl64_468,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4743,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4641,zip_derived_cl64]) ).

thf(zip_derived_cl5008,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4743]) ).

thf(zip_derived_cl16_469,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_470,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5009,plain,
    ( ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl5008,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl5012,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl5009]) ).

thf(zip_derived_cl5013,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5012]) ).

thf(zip_derived_cl5014,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5013]) ).

thf(zip_derived_cl5016,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2897,zip_derived_cl5014]) ).

thf(zip_derived_cl5017,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5016]) ).

thf(zip_derived_cl5735,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4691,zip_derived_cl5017]) ).

thf(zip_derived_cl5738,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5735]) ).

thf(zip_derived_cl10_471,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5790,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5738,zip_derived_cl10]) ).

thf(zip_derived_cl4597_472,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl15_473,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl2671_474,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2670,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4665_475,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4664]) ).

thf(zip_derived_cl4859,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2671,zip_derived_cl4665]) ).

thf(zip_derived_cl4863,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4859]) ).

thf(zip_derived_cl5054,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4863]) ).

thf(zip_derived_cl16_476,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_477,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5055,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5054,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_478,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5057,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5055,zip_derived_cl10]) ).

thf(zip_derived_cl9_479,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5109,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5057,zip_derived_cl9]) ).

thf(zip_derived_cl7_480,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl5266,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5109,zip_derived_cl7]) ).

thf(zip_derived_cl5297,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl5266]) ).

thf(zip_derived_cl5301,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5297]) ).

thf(zip_derived_cl5815,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl5790,zip_derived_cl5301]) ).

thf(zip_derived_cl64_481,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl5822,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5815,zip_derived_cl64]) ).

thf(zip_derived_cl19_482,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5855,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5822,zip_derived_cl19]) ).

thf(zip_derived_cl5856,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5855]) ).

thf(zip_derived_cl16_483,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_484,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5857,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5856,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl5864,plain,
    ( ( greater @ zero @ zero )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4933,zip_derived_cl5857]) ).

thf(zip_derived_cl5871,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5864]) ).

thf(zip_derived_cl4933_485,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4932,zip_derived_cl9]) ).

thf(zip_derived_cl18_486,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4943,plain,
    ( ~ ( greater @ zero @ zero )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4933,zip_derived_cl18]) ).

thf(zip_derived_cl5922,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5871,zip_derived_cl4943]) ).

thf(zip_derived_cl5934,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5922]) ).

thf(zip_derived_cl5941,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5934]) ).

thf(zip_derived_cl16_487,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_488,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5942,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl5941,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl5970,plain,
    ( ~ ( greater @ zero @ zero )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4934,zip_derived_cl5942]) ).

thf(zip_derived_cl5975,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5970]) ).

thf(zip_derived_cl5871_489,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5864]) ).

thf(zip_derived_cl5980,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5975,zip_derived_cl5871]) ).

thf(zip_derived_cl10_490,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5982,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5980,zip_derived_cl10]) ).

thf(zip_derived_cl15_491,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl5980_492,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5975,zip_derived_cl5871]) ).

thf(zip_derived_cl9_493,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5981,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5980,zip_derived_cl9]) ).

thf(zip_derived_cl4597_494,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl4597_495,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl18_496,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4598,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl18]) ).

thf(zip_derived_cl4671,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl4598]) ).

thf(zip_derived_cl4674,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4671]) ).

thf(zip_derived_cl5991,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5981,zip_derived_cl4674]) ).

thf(zip_derived_cl5995,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5991]) ).

thf(zip_derived_cl5981_497,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5980,zip_derived_cl9]) ).

thf(zip_derived_cl7_498,plain,
    ! [X0: $i] :
      ( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl5986,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5981,zip_derived_cl7]) ).

thf(zip_derived_cl5738_499,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5735]) ).

thf(zip_derived_cl9_500,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl5789,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5738,zip_derived_cl9]) ).

thf(zip_derived_cl5857_501,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
    | ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5856,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl5870,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5789,zip_derived_cl5857]) ).

thf(zip_derived_cl5877,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5870]) ).

thf(zip_derived_cl6004,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl5986,zip_derived_cl5877]) ).

thf(zip_derived_cl6035,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl5995,zip_derived_cl6004]) ).

thf(zip_derived_cl6036,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6035]) ).

thf(zip_derived_cl16_502,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_503,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6037,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6036,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl6040,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5982,zip_derived_cl6037]) ).

thf(zip_derived_cl6041,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6040]) ).

thf(zip_derived_cl6004_504,plain,
    ( ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(clc,[status(thm)],[zip_derived_cl5986,zip_derived_cl5877]) ).

thf(zip_derived_cl6042,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6041,zip_derived_cl6004]) ).

thf(zip_derived_cl20_505,plain,
    ! [X0: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6045,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6042,zip_derived_cl20]) ).

thf(zip_derived_cl6097,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6045]) ).

thf(zip_derived_cl16_506,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_507,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6098,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6097,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl11_508,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
      | ( zip_tseitin_2 @ X1 )
      | ( zip_tseitin_1 @ X1 )
      | ( zip_tseitin_0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl6103,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_0 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ~ ( environment @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6098,zip_derived_cl11]) ).

thf(zip_derived_cl16_509,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6105,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_0 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6103,zip_derived_cl16]) ).

thf(zip_derived_cl6042_510,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6041,zip_derived_cl6004]) ).

thf(zip_derived_cl50_511,plain,
    ~ ( zip_tseitin_0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl6059,plain,
    ( ~ ( zip_tseitin_0 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6042,zip_derived_cl50]) ).

thf(zip_derived_cl6166,plain,
    ( ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6105,zip_derived_cl6059]) ).

thf(zip_derived_cl13_512,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl6042_513,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6041,zip_derived_cl6004]) ).

thf(zip_derived_cl237_514,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl19]) ).

thf(zip_derived_cl6063,plain,
    ( ~ ( zip_tseitin_1 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6042,zip_derived_cl237]) ).

thf(zip_derived_cl6069,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6063]) ).

thf(zip_derived_cl16_515,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_516,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6070,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6069,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl6167,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6166,zip_derived_cl6070]) ).

thf(zip_derived_cl6168,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6167]) ).

thf(zip_derived_cl6174,plain,
    ( ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2639,zip_derived_cl6168]) ).

thf(zip_derived_cl6175,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6174]) ).

thf(zip_derived_cl6178,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl6175]) ).

thf(zip_derived_cl6179,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6178]) ).

thf(zip_derived_cl6197,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4611,zip_derived_cl6179]) ).

thf(zip_derived_cl6198,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6197]) ).

thf(zip_derived_cl6218,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4597,zip_derived_cl6198]) ).

thf(zip_derived_cl6222,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6218]) ).

thf(zip_derived_cl6223,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4695,zip_derived_cl6222]) ).

thf(zip_derived_cl6226,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6223]) ).

thf(zip_derived_cl6231,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6226]) ).

thf(zip_derived_cl16_517,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_518,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6232,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6231,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_519,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6236,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6232,zip_derived_cl10]) ).

thf(zip_derived_cl10_520,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6268,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6236,zip_derived_cl10]) ).

thf(zip_derived_cl13_521,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl6268_522,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6236,zip_derived_cl10]) ).

thf(zip_derived_cl6232_523,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6231,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_524,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6235,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6232,zip_derived_cl9]) ).

thf(zip_derived_cl6098_525,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6097,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl12_526,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
      | ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl6104,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6098,zip_derived_cl12]) ).

thf(zip_derived_cl16_527,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_528,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6106,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6104,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl13_529,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl6042_530,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6041,zip_derived_cl6004]) ).

thf(zip_derived_cl19_531,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6044,plain,
    ( ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6042,zip_derived_cl19]) ).

thf(zip_derived_cl6094,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6044]) ).

thf(zip_derived_cl16_532,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_533,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6095,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6094,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl6113,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6106,zip_derived_cl6095]) ).

thf(zip_derived_cl6260,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6235,zip_derived_cl6113]) ).

thf(zip_derived_cl6264,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6260]) ).

thf(zip_derived_cl6490,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6268,zip_derived_cl6264]) ).

thf(zip_derived_cl6491,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6490]) ).

thf(zip_derived_cl10_534,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6494,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6491,zip_derived_cl10]) ).

thf(zip_derived_cl15_535,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl4597_536,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl4691_537,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4636,zip_derived_cl10]) ).

thf(zip_derived_cl4782,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4597,zip_derived_cl4691]) ).

thf(zip_derived_cl4783,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4782]) ).

thf(zip_derived_cl6222_538,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6218]) ).

thf(zip_derived_cl6225,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4783,zip_derived_cl6222]) ).

thf(zip_derived_cl6228,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6225]) ).

thf(zip_derived_cl6241,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6228]) ).

thf(zip_derived_cl16_539,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_540,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6242,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6241,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_541,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6283,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6242,zip_derived_cl9]) ).

thf(zip_derived_cl6042_542,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6041,zip_derived_cl6004]) ).

thf(zip_derived_cl6042_543,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__3 @ ( sk_ @ sk__2 ) )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6041,zip_derived_cl6004]) ).

thf(zip_derived_cl18_544,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6043,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6042,zip_derived_cl18]) ).

thf(zip_derived_cl6082,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6042,zip_derived_cl6043]) ).

thf(zip_derived_cl6085,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6082]) ).

thf(zip_derived_cl6372,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6283,zip_derived_cl6085]) ).

thf(zip_derived_cl6376,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6372]) ).

thf(zip_derived_cl6506,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6494,zip_derived_cl6376]) ).

thf(zip_derived_cl6516,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6506]) ).

thf(zip_derived_cl6520,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6516]) ).

thf(zip_derived_cl16_545,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_546,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6521,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl6520,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl6525,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6268,zip_derived_cl6521]) ).

thf(zip_derived_cl6527,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6525]) ).

thf(zip_derived_cl6494_547,plain,
    ( ( greater @ zero @ zero )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6491,zip_derived_cl10]) ).

thf(zip_derived_cl6528,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6527,zip_derived_cl6494]) ).

thf(zip_derived_cl13_548,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl4695_549,plain,
    ( ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4694]) ).

thf(zip_derived_cl6528_550,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6527,zip_derived_cl6494]) ).

thf(zip_derived_cl8_551,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl6530,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( zip_tseitin_1 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6528,zip_derived_cl8]) ).

thf(zip_derived_cl6536,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4695,zip_derived_cl6530]) ).

thf(zip_derived_cl6538,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6536]) ).

thf(zip_derived_cl6235_552,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6232,zip_derived_cl9]) ).

thf(zip_derived_cl6085_553,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6082]) ).

thf(zip_derived_cl6259,plain,
    ( ~ ( greater @ zero @ zero )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6235,zip_derived_cl6085]) ).

thf(zip_derived_cl6263,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6259]) ).

thf(zip_derived_cl6552,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6538,zip_derived_cl6263]) ).

thf(zip_derived_cl6562,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6552]) ).

thf(zip_derived_cl6264_554,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6260]) ).

thf(zip_derived_cl6567,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6562,zip_derived_cl6264]) ).

thf(zip_derived_cl6568,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6567]) ).

thf(zip_derived_cl16_555,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_556,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6569,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6568,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_557,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6570,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6569,zip_derived_cl9]) ).

thf(zip_derived_cl4674_558,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4671]) ).

thf(zip_derived_cl6580,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6570,zip_derived_cl4674]) ).

thf(zip_derived_cl6581,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6580]) ).

thf(zip_derived_cl6588,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6528,zip_derived_cl6581]) ).

thf(zip_derived_cl6590,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6588]) ).

thf(zip_derived_cl6528_559,plain,
    ( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6527,zip_derived_cl6494]) ).

thf(zip_derived_cl6570_560,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6569,zip_derived_cl9]) ).

thf(zip_derived_cl6179_561,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6178]) ).

thf(zip_derived_cl3_562,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater_or_equal @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_greater_or_equal]) ).

thf(zip_derived_cl15_563,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl4597_564,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl4596,zip_derived_cl4560]) ).

thf(zip_derived_cl20_565,plain,
    ! [X0: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4600,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4597,zip_derived_cl20]) ).

thf(zip_derived_cl4649,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl4600]) ).

thf(zip_derived_cl16_566,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_567,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4650,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4649,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl12_568,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
      | ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl4652,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4650,zip_derived_cl12]) ).

thf(zip_derived_cl16_569,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_570,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4654,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4652,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl4732,plain,
    ( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4654]) ).

thf(zip_derived_cl6186,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6179,zip_derived_cl4732]) ).

thf(zip_derived_cl6203,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6186]) ).

thf(zip_derived_cl7123,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6570,zip_derived_cl6203]) ).

thf(zip_derived_cl7125,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7123]) ).

thf(zip_derived_cl7134,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6528,zip_derived_cl7125]) ).

thf(zip_derived_cl7135,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7134]) ).

thf(zip_derived_cl7146,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6590,zip_derived_cl7135]) ).

thf(zip_derived_cl7147,plain,
    ( ( zip_tseitin_2 @ ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7146]) ).

thf(zip_derived_cl7155,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl7147]) ).

thf(zip_derived_cl16_571,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_572,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7156,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7155,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_573,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7158,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7156,zip_derived_cl10]) ).

thf(zip_derived_cl7156_574,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7155,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_575,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7157,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7156,zip_derived_cl9]) ).

thf(zip_derived_cl6113_576,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6106,zip_derived_cl6095]) ).

thf(zip_derived_cl7168,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7157,zip_derived_cl6113]) ).

thf(zip_derived_cl7172,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7168]) ).

thf(zip_derived_cl7211,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7158,zip_derived_cl7172]) ).

thf(zip_derived_cl7212,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7211]) ).

thf(zip_derived_cl13_577,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl7158_578,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7156,zip_derived_cl10]) ).

thf(zip_derived_cl7157_579,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7156,zip_derived_cl9]) ).

thf(zip_derived_cl6085_580,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6082]) ).

thf(zip_derived_cl7167,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7157,zip_derived_cl6085]) ).

thf(zip_derived_cl7171,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7167]) ).

thf(zip_derived_cl7191,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7158,zip_derived_cl7171]) ).

thf(zip_derived_cl7193,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7191]) ).

thf(zip_derived_cl7196,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl7193]) ).

thf(zip_derived_cl16_581,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_582,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7197,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7196,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7213,plain,
    ( ( sk__1 @ sk__2 )
    = ( sk_ @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7212,zip_derived_cl7197]) ).

thf(zip_derived_cl7213_583,plain,
    ( ( sk__1 @ sk__2 )
    = ( sk_ @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7212,zip_derived_cl7197]) ).

thf(zip_derived_cl7226,plain,
    ( ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl7213,zip_derived_cl7213]) ).

thf(zip_derived_cl7213_584,plain,
    ( ( sk__1 @ sk__2 )
    = ( sk_ @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7212,zip_derived_cl7197]) ).

thf(zip_derived_cl13_585,plain,
    ! [X0: $i] :
      ( ( in_environment @ X0 @ ( sk_ @ X0 ) )
      | ~ ( stable @ X0 )
      | ~ ( environment @ X0 ) ),
    inference(cnf,[status(esa)],[l1]) ).

thf(zip_derived_cl7229,plain,
    ( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7213,zip_derived_cl13]) ).

thf(zip_derived_cl16_586,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_587,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7230,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7236,plain,
    ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7226,zip_derived_cl7230]) ).

thf(zip_derived_cl7247,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7236]) ).

thf(zip_derived_cl10_588,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7315,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7247,zip_derived_cl10]) ).

thf(zip_derived_cl19_589,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7247_590,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7236]) ).

thf(zip_derived_cl9_591,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7314,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7247,zip_derived_cl9]) ).

thf(zip_derived_cl64_592,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7213_593,plain,
    ( ( sk__1 @ sk__2 )
    = ( sk_ @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7212,zip_derived_cl7197]) ).

thf(zip_derived_cl7217,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl7213]) ).

thf(zip_derived_cl7475,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7314,zip_derived_cl7217]) ).

thf(zip_derived_cl7230_594,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7479,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7475,zip_derived_cl7230]) ).

thf(zip_derived_cl7687,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl7479]) ).

thf(zip_derived_cl7230_595,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7688,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl7687,zip_derived_cl7230]) ).

thf(zip_derived_cl7694,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7315,zip_derived_cl7688]) ).

thf(zip_derived_cl7695,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7694]) ).

thf(zip_derived_cl7314_596,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7247,zip_derived_cl9]) ).

thf(zip_derived_cl18_597,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7369,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7314,zip_derived_cl18]) ).

thf(zip_derived_cl7230_598,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7374,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl7369,zip_derived_cl7230]) ).

thf(zip_derived_cl7702,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7695,zip_derived_cl7374]) ).

thf(zip_derived_cl7704,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7702]) ).

thf(zip_derived_cl7688_599,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl7687,zip_derived_cl7230]) ).

thf(zip_derived_cl7708,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7704,zip_derived_cl7688]) ).

thf(zip_derived_cl97_600,plain,
    ! [X0: $i] :
      ( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
      | ( zip_tseitin_2 @ ( sk__3 @ X0 ) )
      | ( zip_tseitin_1 @ ( sk__3 @ X0 ) )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl48]) ).

thf(zip_derived_cl7712,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7708,zip_derived_cl97]) ).

thf(zip_derived_cl7230_601,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7236_602,plain,
    ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7226,zip_derived_cl7230]) ).

thf(zip_derived_cl7742,plain,
    ( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7712,zip_derived_cl7230,zip_derived_cl7236]) ).

thf(zip_derived_cl7792,plain,
    ( ~ ( environment @ sk__2 )
    | ~ ( stable @ sk__2 )
    | ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl7742]) ).

thf(zip_derived_cl16_603,plain,
    environment @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_604,plain,
    stable @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7793,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7792,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl10_605,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7795,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7793,zip_derived_cl10]) ).

thf(zip_derived_cl19_606,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7793_607,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7792,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl9_608,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7794,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7793,zip_derived_cl9]) ).

thf(zip_derived_cl7217_609,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl7213]) ).

thf(zip_derived_cl7866,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7794,zip_derived_cl7217]) ).

thf(zip_derived_cl7230_610,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7878,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7866,zip_derived_cl7230]) ).

thf(zip_derived_cl7943,plain,
    ( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl7878]) ).

thf(zip_derived_cl7230_611,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7945,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl7943,zip_derived_cl7230]) ).

thf(zip_derived_cl7959,plain,
    ( ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7795,zip_derived_cl7945]) ).

thf(zip_derived_cl7962,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7959]) ).

thf(zip_derived_cl7708_612,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7704,zip_derived_cl7688]) ).

thf(zip_derived_cl7793_613,plain,
    ( ( zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7792,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7798,plain,
    ( ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7708,zip_derived_cl7793]) ).

thf(zip_derived_cl7799,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7798]) ).

thf(zip_derived_cl10_614,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7801,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7799,zip_derived_cl10]) ).

thf(zip_derived_cl7799_615,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( zip_tseitin_2 @ ( sk__1 @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7798]) ).

thf(zip_derived_cl9_616,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7800,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
      = zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7799,zip_derived_cl9]) ).

thf(zip_derived_cl7708_617,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7704,zip_derived_cl7688]) ).

thf(zip_derived_cl7708_618,plain,
    ( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
      = ( sk__1 @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7704,zip_derived_cl7688]) ).

thf(zip_derived_cl18_619,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7709,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7708,zip_derived_cl18]) ).

thf(zip_derived_cl7230_620,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7739,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl7709,zip_derived_cl7230]) ).

thf(zip_derived_cl7769,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7708,zip_derived_cl7739]) ).

thf(zip_derived_cl7772,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7769]) ).

thf(zip_derived_cl7810,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7800,zip_derived_cl7772]) ).

thf(zip_derived_cl7812,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7810]) ).

thf(zip_derived_cl7838,plain,
    ( ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ zero )
    | ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7801,zip_derived_cl7812]) ).

thf(zip_derived_cl7839,plain,
    ( ( ( sk__1 @ sk__2 )
      = ( equilibrium @ sk__2 ) )
    | ~ ( greater @ zero @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7838]) ).

thf(zip_derived_cl7967,plain,
    ( ( sk__1 @ sk__2 )
    = ( equilibrium @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7962,zip_derived_cl7839]) ).

thf(zip_derived_cl7967_621,plain,
    ( ( sk__1 @ sk__2 )
    = ( equilibrium @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7962,zip_derived_cl7839]) ).

thf(zip_derived_cl7236_622,plain,
    ~ ( zip_tseitin_1 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7226,zip_derived_cl7230]) ).

thf(zip_derived_cl7967_623,plain,
    ( ( sk__1 @ sk__2 )
    = ( equilibrium @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7962,zip_derived_cl7839]) ).

thf(zip_derived_cl7230_624,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl7971,plain,
    zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl7967,zip_derived_cl7967,zip_derived_cl7236,zip_derived_cl7967,zip_derived_cl7230]) ).

thf(zip_derived_cl10_625,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ efficient_producers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7992,plain,
    ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    = zero ),
    inference('sup-',[status(thm)],[zip_derived_cl7971,zip_derived_cl10]) ).

thf(zip_derived_cl7217_626,plain,
    ! [X0: $i] :
      ( ~ ( in_environment @ sk__2 @ X0 )
      | ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl7213]) ).

thf(zip_derived_cl8025,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7992,zip_derived_cl7217]) ).

thf(zip_derived_cl7971_627,plain,
    zip_tseitin_2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl7967,zip_derived_cl7967,zip_derived_cl7236,zip_derived_cl7967,zip_derived_cl7230]) ).

thf(zip_derived_cl9_628,plain,
    ! [X0: $i] :
      ( ( ( growth_rate @ first_movers @ X0 )
        = zero )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7991,plain,
    ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    = zero ),
    inference('sup-',[status(thm)],[zip_derived_cl7971,zip_derived_cl9]) ).

thf(zip_derived_cl7230_629,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl8026,plain,
    ( ( greater @ zero @ zero )
    | ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8025,zip_derived_cl7991,zip_derived_cl7230]) ).

thf(zip_derived_cl7991_630,plain,
    ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    = zero ),
    inference('sup-',[status(thm)],[zip_derived_cl7971,zip_derived_cl9]) ).

thf(zip_derived_cl18_631,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
      | ~ ( in_environment @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8003,plain,
    ( ~ ( greater @ zero @ zero )
    | ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7991,zip_derived_cl18]) ).

thf(zip_derived_cl7230_632,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl8008,plain,
    ( ~ ( greater @ zero @ zero )
    | ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl8003,zip_derived_cl7230]) ).

thf(zip_derived_cl7992_633,plain,
    ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
    = zero ),
    inference('sup-',[status(thm)],[zip_derived_cl7971,zip_derived_cl10]) ).

thf(zip_derived_cl8017,plain,
    ( ~ ( greater @ zero @ zero )
    | ~ ( greater @ zero @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl8008,zip_derived_cl7992]) ).

thf(zip_derived_cl8018,plain,
    ~ ( greater @ zero @ zero ),
    inference(simplify,[status(thm)],[zip_derived_cl8017]) ).

thf(zip_derived_cl8031,plain,
    ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8026,zip_derived_cl8018]) ).

thf(zip_derived_cl8034,plain,
    ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl8031]) ).

thf(zip_derived_cl7230_634,plain,
    in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl7229,zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl8035,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8034,zip_derived_cl7230]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT029+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.80KHPkDlDh true
% 0.14/0.35  % Computer : n011.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 : Mon Aug 28 06:38:40 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.98/2.29  % Solved by fo/fo4.sh.
% 11.98/2.29  % done 2679 iterations in 1.432s
% 11.98/2.29  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.98/2.29  % SZS output start Refutation
% See solution above
% 11.98/2.32  
% 11.98/2.32  
% 11.98/2.32  % Terminating...
% 11.98/2.37  % Runner terminated.
% 12.01/2.39  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------