TSTP Solution File: MGT025+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT025+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.qPynBGaquF true

% Computer : n027.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 09:19:56 EDT 2023

% Result   : Theorem 1.43s 0.81s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  159 (  41 unt;  23 typ;   0 def)
%            Number of atoms       :  344 (  38 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1357 ( 144   ~; 142   |;  30   &;1005   @)
%                                         (   0 <=>;  16  =>;  20  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   6 con; 0-4 aty)
%            Number of variables   :   85 (   0   ^;  85   !;   0   ?;  85   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subpopulation_type,type,
    subpopulation: $i > $i > $i > $o ).

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

thf(increases_type,type,
    increases: $i > $o ).

thf(decreases_type,type,
    decreases: $i > $o ).

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

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

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

thf(cardinality_at_time_type,type,
    cardinality_at_time: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

thf(constant_type,type,
    constant: $i > $o ).

thf(sum_type,type,
    sum: $i > $i > $i ).

thf(number_of_organizations_type,type,
    number_of_organizations: $i > $i > $i ).

thf(prove_l7,conjecture,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
        & ( constant @ ( number_of_organizations @ E @ T ) ) )
     => ( ( ( ( growth_rate @ first_movers @ T )
            = zero )
          & ( ( growth_rate @ efficient_producers @ T )
            = zero ) )
        | ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
          & ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
        | ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
          & ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [E: $i,T: $i] :
        ( ( ( environment @ E )
          & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
          & ( constant @ ( number_of_organizations @ E @ T ) ) )
       => ( ( ( ( growth_rate @ first_movers @ T )
              = zero )
            & ( ( growth_rate @ efficient_producers @ T )
              = zero ) )
          | ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
            & ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
          | ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
            & ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_l7]) ).

thf(zip_derived_cl23,plain,
    subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mp_time_point_occur,axiom,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
     => ( in_environment @ E @ T ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ( in_environment @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_time_point_occur]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( environment @ sk_ )
    | ( in_environment @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl17]) ).

thf(zip_derived_cl24,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(mp_subpopulations,axiom,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( in_environment @ E @ T ) )
     => ( ( subpopulation @ first_movers @ E @ T )
        & ( subpopulation @ efficient_producers @ E @ T ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_subpopulations]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( environment @ sk_ )
    | ( subpopulation @ efficient_producers @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl3]) ).

thf(zip_derived_cl24_001,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    subpopulation @ efficient_producers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl24]) ).

thf(mp_only_members,axiom,
    ! [E: $i,X: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulation @ X @ E @ T )
        & ( ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
         => ( ( X = efficient_producers )
            | ( X = first_movers ) ) ) )
     => ( ( number_of_organizations @ E @ T )
        = ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulation @ X1 @ X0 @ X2 )
      | ( X1 != efficient_producers )
      | ( ( number_of_organizations @ X0 @ X2 )
        = ( sum @ ( cardinality_at_time @ first_movers @ X2 ) @ ( cardinality_at_time @ efficient_producers @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mp_only_members]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( environment @ sk_ )
    | ( efficient_producers != efficient_producers )
    | ( ( number_of_organizations @ sk_ @ sk__1 )
      = ( sum @ ( cardinality_at_time @ first_movers @ sk__1 ) @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1]) ).

thf(zip_derived_cl24_002,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ( ( efficient_producers != efficient_producers )
    | ( ( number_of_organizations @ sk_ @ sk__1 )
      = ( sum @ ( cardinality_at_time @ first_movers @ sk__1 ) @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl24]) ).

thf(zip_derived_cl41,plain,
    ( ( number_of_organizations @ sk_ @ sk__1 )
    = ( sum @ ( cardinality_at_time @ first_movers @ sk__1 ) @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl40]) ).

thf(mp_abc_sum_increase,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( constant @ A )
        & ( A
          = ( sum @ B @ C ) ) )
     => ( ( ( increases @ C )
          & ( decreases @ B ) )
        | ( ( decreases @ C )
          & ( increases @ B ) )
        | ( ( constant @ C )
          & ( constant @ B ) ) ) ) ).

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

thf(zf_stmt_2,axiom,
    ! [C: $i,B: $i] :
      ( ( zip_tseitin_2 @ C @ B )
     => ( ( constant @ B )
        & ( constant @ C ) ) ) ).

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

thf(zf_stmt_4,axiom,
    ! [C: $i,B: $i] :
      ( ( zip_tseitin_1 @ C @ B )
     => ( ( increases @ B )
        & ( decreases @ C ) ) ) ).

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

thf(zf_stmt_6,axiom,
    ! [C: $i,B: $i] :
      ( ( zip_tseitin_0 @ C @ B )
     => ( ( decreases @ B )
        & ( increases @ C ) ) ) ).

thf(zf_stmt_7,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A
          = ( sum @ B @ C ) )
        & ( constant @ A ) )
     => ( ( zip_tseitin_2 @ C @ B )
        | ( zip_tseitin_1 @ C @ B )
        | ( zip_tseitin_0 @ C @ B ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( constant @ X0 )
      | ( X0
       != ( sum @ X1 @ X2 ) )
      | ( zip_tseitin_2 @ X2 @ X1 )
      | ( zip_tseitin_1 @ X2 @ X1 )
      | ( zip_tseitin_0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X1 @ X0 )
      | ( zip_tseitin_1 @ X1 @ X0 )
      | ( zip_tseitin_2 @ X1 @ X0 )
      | ~ ( constant @ ( sum @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl59,plain,
    ( ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ~ ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl58]) ).

thf(zip_derived_cl22,plain,
    constant @ ( number_of_organizations @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl22]) ).

thf(zip_derived_cl119,plain,
    ( ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( decreases @ X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl122,plain,
    ( ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl5]) ).

thf(zip_derived_cl32_003,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ( subpopulation @ first_movers @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_subpopulations]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( environment @ sk_ )
    | ( subpopulation @ first_movers @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl4]) ).

thf(zip_derived_cl24_004,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    subpopulation @ first_movers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl24]) ).

thf(mp_growth_rate,axiom,
    ! [X: $i,E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( in_environment @ E @ T )
        & ( subpopulation @ X @ E @ T )
        & ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
     => ( ( ( constant @ ( cardinality_at_time @ X @ T ) )
         => ( ( growth_rate @ X @ T )
            = zero ) )
        & ( ( increases @ ( cardinality_at_time @ X @ T ) )
         => ( greater @ ( growth_rate @ X @ T ) @ zero ) )
        & ( ( decreases @ ( cardinality_at_time @ X @ T ) )
         => ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ~ ( subpopulation @ X2 @ X0 @ X1 )
      | ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
      | ( greater @ zero @ ( growth_rate @ X2 @ X1 ) )
      | ~ ( decreases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mp_growth_rate]) ).

thf(zip_derived_cl74,plain,
    ( ~ ( environment @ sk_ )
    | ~ ( in_environment @ sk_ @ sk__1 )
    | ~ ( greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero )
    | ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
    | ~ ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl12]) ).

thf(zip_derived_cl24_005,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_006,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl23_007,plain,
    subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mp_non_zero_producers,axiom,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
     => ( ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
        & ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ( greater @ ( cardinality_at_time @ first_movers @ X1 ) @ zero ) ),
    inference(cnf,[status(esa)],[mp_non_zero_producers]) ).

thf(zip_derived_cl49,plain,
    ( ~ ( environment @ sk_ )
    | ( greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl16]) ).

thf(zip_derived_cl24_008,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl24]) ).

thf(zip_derived_cl76,plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
    | ~ ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl24,zip_derived_cl32,zip_derived_cl50]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ~ ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf('0',plain,
    ( ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ~ ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl89]) ).

thf('1',plain,
    ( ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
    | ~ ( decreases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl41_009,plain,
    ( ( number_of_organizations @ sk_ @ sk__1 )
    = ( sum @ ( cardinality_at_time @ first_movers @ sk__1 ) @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl11_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( constant @ X0 )
      | ( X0
       != ( sum @ X1 @ X2 ) )
      | ( zip_tseitin_2 @ X2 @ X1 )
      | ( zip_tseitin_1 @ X2 @ X1 )
      | ( zip_tseitin_0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ~ ( constant @ X0 )
      | ( X0
       != ( number_of_organizations @ sk_ @ sk__1 ) )
      | ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
      | ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
      | ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl11]) ).

thf(zip_derived_cl124,plain,
    ( ! [X0: $i] :
        ( ( X0
         != ( number_of_organizations @ sk_ @ sk__1 ) )
        | ~ ( constant @ X0 ) )
   <= ! [X0: $i] :
        ( ( X0
         != ( number_of_organizations @ sk_ @ sk__1 ) )
        | ~ ( constant @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl128,plain,
    ( ~ ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) )
   <= ! [X0: $i] :
        ( ( X0
         != ( number_of_organizations @ sk_ @ sk__1 ) )
        | ~ ( constant @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl22_011,plain,
    constant @ ( number_of_organizations @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ~ ! [X0: $i] :
        ( ( X0
         != ( number_of_organizations @ sk_ @ sk__1 ) )
        | ~ ( constant @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl22]) ).

thf(zip_derived_cl35_012,plain,
    subpopulation @ efficient_producers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl24]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ~ ( subpopulation @ X2 @ X0 @ X1 )
      | ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
      | ( ( growth_rate @ X2 @ X1 )
        = zero )
      | ~ ( constant @ ( cardinality_at_time @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mp_growth_rate]) ).

thf(zip_derived_cl61,plain,
    ( ~ ( environment @ sk_ )
    | ~ ( in_environment @ sk_ @ sk__1 )
    | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero )
    | ( ( growth_rate @ efficient_producers @ sk__1 )
      = zero )
    | ~ ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl14]) ).

thf(zip_derived_cl24_013,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_014,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl23_015,plain,
    subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
    inference(cnf,[status(esa)],[mp_non_zero_producers]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( environment @ sk_ )
    | ( greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl15]) ).

thf(zip_derived_cl24_016,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl24]) ).

thf(zip_derived_cl63,plain,
    ( ( ( growth_rate @ efficient_producers @ sk__1 )
      = zero )
    | ~ ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl24,zip_derived_cl32,zip_derived_cl48]) ).

thf('3',plain,
    ( ~ ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
    | ( ( growth_rate @ efficient_producers @ sk__1 )
      = zero ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl36_017,plain,
    subpopulation @ first_movers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl24]) ).

thf(zip_derived_cl14_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ~ ( subpopulation @ X2 @ X0 @ X1 )
      | ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
      | ( ( growth_rate @ X2 @ X1 )
        = zero )
      | ~ ( constant @ ( cardinality_at_time @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mp_growth_rate]) ).

thf(zip_derived_cl62,plain,
    ( ~ ( environment @ sk_ )
    | ~ ( in_environment @ sk_ @ sk__1 )
    | ~ ( greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero )
    | ( ( growth_rate @ first_movers @ sk__1 )
      = zero )
    | ~ ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl14]) ).

thf(zip_derived_cl24_019,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_020,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl50_021,plain,
    greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl24]) ).

thf(zip_derived_cl64,plain,
    ( ( ( growth_rate @ first_movers @ sk__1 )
      = zero )
    | ~ ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl24,zip_derived_cl32,zip_derived_cl50]) ).

thf('4',plain,
    ( ~ ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( ( growth_rate @ first_movers @ sk__1 )
      = zero ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl121,plain,
    ( ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( constant @ X0 )
      | ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl137,plain,
    ( ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
   <= ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl10]) ).

thf(zip_derived_cl65,plain,
    ( ~ ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
   <= ~ ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf('5',plain,
    ( ~ ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( constant @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl65]) ).

thf(zip_derived_cl121_022,plain,
    ( ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( constant @ X0 )
      | ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl136,plain,
    ( ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl9]) ).

thf(zip_derived_cl71,plain,
    ( ~ ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ~ ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf('6',plain,
    ( ~ ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( constant @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl71]) ).

thf(zip_derived_cl21,plain,
    ( ( ( growth_rate @ first_movers @ sk__1 )
     != zero )
    | ( ( growth_rate @ efficient_producers @ sk__1 )
     != zero ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ( ( growth_rate @ first_movers @ sk__1 )
     != zero )
    | ( ( growth_rate @ efficient_producers @ sk__1 )
     != zero ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl35_023,plain,
    subpopulation @ efficient_producers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl24]) ).

thf(zip_derived_cl12_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ~ ( subpopulation @ X2 @ X0 @ X1 )
      | ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
      | ( greater @ zero @ ( growth_rate @ X2 @ X1 ) )
      | ~ ( decreases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mp_growth_rate]) ).

thf(zip_derived_cl73,plain,
    ( ~ ( environment @ sk_ )
    | ~ ( in_environment @ sk_ @ sk__1 )
    | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero )
    | ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
    | ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl12]) ).

thf(zip_derived_cl24_025,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_026,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl48_027,plain,
    greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl24]) ).

thf(zip_derived_cl75,plain,
    ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
    | ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl24,zip_derived_cl32,zip_derived_cl48]) ).

thf('8',plain,
    ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
    | ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl36_028,plain,
    subpopulation @ first_movers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl24]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ~ ( subpopulation @ X2 @ X0 @ X1 )
      | ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
      | ( greater @ ( growth_rate @ X2 @ X1 ) @ zero )
      | ~ ( increases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mp_growth_rate]) ).

thf(zip_derived_cl92,plain,
    ( ~ ( environment @ sk_ )
    | ~ ( in_environment @ sk_ @ sk__1 )
    | ~ ( greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero )
    | ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
    | ~ ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl13]) ).

thf(zip_derived_cl24_029,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_030,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl50_031,plain,
    greater @ ( cardinality_at_time @ first_movers @ sk__1 ) @ zero,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl24]) ).

thf(zip_derived_cl94,plain,
    ( ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
    | ~ ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl24,zip_derived_cl32,zip_derived_cl50]) ).

thf('9',plain,
    ( ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
    | ~ ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl120,plain,
    ( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( decreases @ X0 )
      | ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl133,plain,
    ( ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
   <= ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl8]) ).

thf(zip_derived_cl81,plain,
    ( ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
   <= ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf('10',plain,
    ( ( decreases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
    | ~ ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl81]) ).

thf(zip_derived_cl120_032,plain,
    ( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( increases @ X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl132,plain,
    ( ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl7]) ).

thf(zip_derived_cl110,plain,
    ( ~ ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ~ ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('11',plain,
    ( ( increases @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ~ ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl110]) ).

thf(zip_derived_cl20,plain,
    ( ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
    | ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
    | ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('13',plain,
    ( ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
    | ! [X0: $i] :
        ( ( X0
         != ( number_of_organizations @ sk_ @ sk__1 ) )
        | ~ ( constant @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl119_033,plain,
    ( ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) )
   <= ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( increases @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl123,plain,
    ( ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
   <= ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl6]) ).

thf(zip_derived_cl35_034,plain,
    subpopulation @ efficient_producers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl24]) ).

thf(zip_derived_cl13_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( in_environment @ X0 @ X1 )
      | ~ ( subpopulation @ X2 @ X0 @ X1 )
      | ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
      | ( greater @ ( growth_rate @ X2 @ X1 ) @ zero )
      | ~ ( increases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mp_growth_rate]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( environment @ sk_ )
    | ~ ( in_environment @ sk_ @ sk__1 )
    | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero )
    | ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
    | ~ ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl13]) ).

thf(zip_derived_cl24_036,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_037,plain,
    in_environment @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl48_038,plain,
    greater @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ zero,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl24]) ).

thf(zip_derived_cl93,plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
    | ~ ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl24,zip_derived_cl32,zip_derived_cl48]) ).

thf(zip_derived_cl101,plain,
    ( ~ ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
   <= ~ ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('14',plain,
    ( ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) )
    | ~ ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ sk__1 ) @ ( cardinality_at_time @ first_movers @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl101]) ).

thf('15',plain,
    ( ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
    | ~ ( increases @ ( cardinality_at_time @ efficient_producers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl140,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qPynBGaquF true
% 0.16/0.35  % Computer : n027.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 06:39:52 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.43/0.81  % Solved by fo/fo1_av.sh.
% 1.43/0.81  % done 88 iterations in 0.026s
% 1.43/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.43/0.81  % SZS output start Refutation
% See solution above
% 1.43/0.82  
% 1.43/0.82  
% 1.43/0.82  % Terminating...
% 1.43/0.85  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------