TSTP Solution File: MGT026-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : MGT026-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 22:17:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  192 (  81 unt;  16 typ;   0 def)
%            Number of atoms       : 1217 ( 368 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives : 2269 ( 316   ~; 427   |;   0   &;1526   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   7 con; 0-4 aty)
%            Number of variables   :  394 (   0   ^ 394   !;   0   ?; 394   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_appear,type,
    appear: $i > $i > $i ).

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

thf(tp_critical_point,type,
    critical_point: $i > $i ).

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

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

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

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

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

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

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

thf(tp_selection_favors,type,
    selection_favors: $i > $i > $i > $o ).

thf(tp_sk1,type,
    sk1: $i ).

thf(tp_sk2,type,
    sk2: $i ).

thf(tp_subpopulation,type,
    subpopulation: $i > $i > $i > $o ).

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

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

thf(1,axiom,
    ! [A: $i,B: $i] :
      ( ( A != B )
      | ( greater_or_equal @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_38) ).

thf(2,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( greater @ A @ B )
      | ( greater_or_equal @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_37) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( greater_or_equal @ A @ B )
      | ( greater @ A @ B )
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_36) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ~ ( greater @ A @ B )
      | ~ ( greater @ B @ C )
      | ( greater @ A @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_35) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( environment @ A )
      | ( greater_or_equal @ ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP_34) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( environment @ A )
      | ~ ( in_environment @ A @ B )
      | ( subpopulation @ efficient_producers @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_33) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( environment @ A )
      | ~ ( in_environment @ A @ B )
      | ( subpopulation @ first_movers @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_32) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( environment @ A )
      | ~ ( in_environment @ A @ B )
      | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist_31) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( environment @ A )
      | ~ ( in_environment @ A @ B )
      | ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
      | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
      | ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_30) ).

thf(10,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ~ ( environment @ A )
      | ~ ( subpopulation @ B @ A @ C )
      | ~ ( subpopulation @ D @ A @ C )
      | ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
      | ( ( cardinality_at_time @ D @ C )
       != zero )
      | ( selection_favors @ B @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members_29) ).

thf(11,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ~ ( environment @ A )
      | ~ ( subpopulations @ B @ C @ A @ D )
      | ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
      | ( selection_favors @ C @ B @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_28) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( environment @ A )
      | ~ ( in_environment @ A @ B )
      | ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
      | ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_41) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ~ ( environment @ A )
      | ( B
       != ( critical_point @ A ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
      | ~ ( greater @ C @ B )
      | ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_40) ).

thf(14,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( environment @ A )
      | ( B
       != ( critical_point @ A ) )
      | ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_39) ).

thf(15,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(16,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[15]) ).

thf(17,negated_conjecture,
    ~ ( selection_favors @ efficient_producers @ first_movers @ sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_45) ).

thf(18,negated_conjecture,
    greater @ sk2 @ ( critical_point @ sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_44) ).

thf(19,negated_conjecture,
    in_environment @ sk1 @ sk2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_43) ).

thf(20,negated_conjecture,
    environment @ sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_42) ).

thf(21,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[16]) ).

thf(22,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( greater_or_equal @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(23,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater @ A @ B )
          | ( greater_or_equal @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(24,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater_or_equal @ A @ B )
          | ( greater @ A @ B )
          | ( A = B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(25,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( greater @ A @ B )
          | ~ ( greater @ B @ C )
          | ( greater @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(26,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ( greater_or_equal @ ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(27,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ~ ( in_environment @ A @ B )
          | ( subpopulation @ efficient_producers @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(28,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ~ ( in_environment @ A @ B )
          | ( subpopulation @ first_movers @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(29,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ~ ( in_environment @ A @ B )
          | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(30,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ~ ( in_environment @ A @ B )
          | ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
          | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
          | ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(31,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( environment @ A )
          | ~ ( subpopulation @ B @ A @ C )
          | ~ ( subpopulation @ D @ A @ C )
          | ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
          | ( ( cardinality_at_time @ D @ C )
           != zero )
          | ( selection_favors @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(32,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( environment @ A )
          | ~ ( subpopulations @ B @ C @ A @ D )
          | ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
          | ( selection_favors @ C @ B @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(33,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ~ ( in_environment @ A @ B )
          | ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
          | ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(34,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( environment @ A )
          | ( B
           != ( critical_point @ A ) )
          | ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
          | ~ ( greater @ C @ B )
          | ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(35,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ( B
           != ( critical_point @ A ) )
          | ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(36,plain,
    ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sk2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(37,plain,
    ( ( greater @ sk2 @ ( critical_point @ sk1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(38,plain,
    ( ( in_environment @ sk1 @ sk2 )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(39,plain,
    ( ( environment @ sk1 )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(40,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[21]) ).

thf(41,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( greater_or_equal @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(42,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater_or_equal @ A @ B )
          | ( A = B )
          | ( greater @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(43,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater @ A @ B )
          | ! [C: $i] :
              ( ~ ( greater @ B @ C )
              | ( greater @ A @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(44,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ( subpopulation @ efficient_producers @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(45,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ( subpopulation @ first_movers @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(46,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[29]) ).

thf(47,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
              | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
              | ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[30]) ).

thf(48,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ! [C: $i] :
              ( ~ ( subpopulation @ B @ A @ C )
              | ! [D: $i] :
                  ( ~ ( subpopulation @ D @ A @ C )
                  | ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
                  | ( ( cardinality_at_time @ D @ C )
                   != zero )
                  | ( selection_favors @ B @ D @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[31]) ).

thf(49,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ! [C: $i,D: $i] :
              ( ~ ( subpopulations @ B @ C @ A @ D )
              | ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
              | ( selection_favors @ C @ B @ D ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[32]) ).

thf(50,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
              | ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[33]) ).

thf(51,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ( B
               != ( critical_point @ A ) )
              | ! [C: $i] :
                  ( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
                  | ~ ( greater @ C @ B )
                  | ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[34]) ).

thf(52,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ( B
               != ( critical_point @ A ) )
              | ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[35]) ).

thf(53,plain,
    ( ( environment @ sk1 )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(54,plain,
    ( ( in_environment @ sk1 @ sk2 )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(55,plain,
    ( ( greater @ sk2 @ ( critical_point @ sk1 ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(56,plain,
    ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sk2 ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(57,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ( B
               != ( critical_point @ A ) )
              | ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(58,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ( B
               != ( critical_point @ A ) )
              | ! [C: $i] :
                  ( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
                  | ~ ( greater @ C @ B )
                  | ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(59,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
              | ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(60,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ! [C: $i,D: $i] :
              ( ~ ( subpopulations @ B @ C @ A @ D )
              | ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
              | ( selection_favors @ C @ B @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(61,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( environment @ A )
          | ! [C: $i] :
              ( ~ ( subpopulation @ B @ A @ C )
              | ! [D: $i] :
                  ( ~ ( subpopulation @ D @ A @ C )
                  | ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
                  | ( ( cardinality_at_time @ D @ C )
                   != zero )
                  | ( selection_favors @ B @ D @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(62,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
              | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
              | ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(63,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(64,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ( subpopulation @ first_movers @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(65,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ! [B: $i] :
              ( ~ ( in_environment @ A @ B )
              | ( subpopulation @ efficient_producers @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(66,plain,
    ( ( ! [A: $i] :
          ( ~ ( environment @ A )
          | ( greater_or_equal @ ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(67,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater @ A @ B )
          | ! [C: $i] :
              ( ~ ( greater @ B @ C )
              | ( greater @ A @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(68,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater_or_equal @ A @ B )
          | ( A = B )
          | ( greater @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(69,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( greater @ A @ B )
          | ( greater_or_equal @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(70,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( A != B )
          | ( greater_or_equal @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(71,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(72,plain,
    ( ( selection_favors @ efficient_producers @ first_movers @ sk2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(73,plain,
    ! [SV1: $i] :
      ( ( ~ ( environment @ SV1 )
        | ! [SY33: $i] :
            ( ( SY33
             != ( critical_point @ SV1 ) )
            | ~ ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(74,plain,
    ! [SV2: $i] :
      ( ( ~ ( environment @ SV2 )
        | ! [SY34: $i] :
            ( ( SY34
             != ( critical_point @ SV2 ) )
            | ! [SY35: $i] :
                ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY35 )
                | ~ ( greater @ SY35 @ SY34 )
                | ( greater @ ( growth_rate @ efficient_producers @ SY35 ) @ ( growth_rate @ first_movers @ SY35 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(75,plain,
    ! [SV3: $i] :
      ( ( ~ ( environment @ SV3 )
        | ! [SY36: $i] :
            ( ~ ( in_environment @ SV3 @ SY36 )
            | ~ ( greater_or_equal @ SY36 @ ( appear @ efficient_producers @ SV3 ) )
            | ( greater @ ( cardinality_at_time @ efficient_producers @ SY36 ) @ zero ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(76,plain,
    ! [SV4: $i] :
      ( ( ! [SY37: $i] :
            ( ~ ( environment @ SV4 )
            | ! [SY38: $i,SY39: $i] :
                ( ~ ( subpopulations @ SY37 @ SY38 @ SV4 @ SY39 )
                | ~ ( greater @ ( growth_rate @ SY38 @ SY39 ) @ ( growth_rate @ SY37 @ SY39 ) )
                | ( selection_favors @ SY38 @ SY37 @ SY39 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(77,plain,
    ! [SV5: $i] :
      ( ( ! [SY40: $i] :
            ( ~ ( environment @ SV5 )
            | ! [SY41: $i] :
                ( ~ ( subpopulation @ SY40 @ SV5 @ SY41 )
                | ! [SY42: $i] :
                    ( ~ ( subpopulation @ SY42 @ SV5 @ SY41 )
                    | ~ ( greater @ ( cardinality_at_time @ SY40 @ SY41 ) @ zero )
                    | ( ( cardinality_at_time @ SY42 @ SY41 )
                     != zero )
                    | ( selection_favors @ SY40 @ SY42 @ SY41 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(78,plain,
    ! [SV6: $i] :
      ( ( ~ ( environment @ SV6 )
        | ! [SY43: $i] :
            ( ~ ( in_environment @ SV6 @ SY43 )
            | ~ ( greater @ ( cardinality_at_time @ first_movers @ SY43 ) @ zero )
            | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY43 ) @ zero )
            | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(79,plain,
    ! [SV7: $i] :
      ( ( ~ ( environment @ SV7 )
        | ! [SY44: $i] :
            ( ~ ( in_environment @ SV7 @ SY44 )
            | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SY44 ) @ zero ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(80,plain,
    ! [SV8: $i] :
      ( ( ~ ( environment @ SV8 )
        | ! [SY45: $i] :
            ( ~ ( in_environment @ SV8 @ SY45 )
            | ( subpopulation @ first_movers @ SV8 @ SY45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(81,plain,
    ! [SV9: $i] :
      ( ( ~ ( environment @ SV9 )
        | ! [SY46: $i] :
            ( ~ ( in_environment @ SV9 @ SY46 )
            | ( subpopulation @ efficient_producers @ SV9 @ SY46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(82,plain,
    ! [SV10: $i] :
      ( ( ~ ( environment @ SV10 )
        | ( greater_or_equal @ ( critical_point @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(83,plain,
    ! [SV11: $i] :
      ( ( ! [SY47: $i] :
            ( ~ ( greater @ SV11 @ SY47 )
            | ! [SY48: $i] :
                ( ~ ( greater @ SY47 @ SY48 )
                | ( greater @ SV11 @ SY48 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(84,plain,
    ! [SV12: $i] :
      ( ( ! [SY49: $i] :
            ( ~ ( greater_or_equal @ SV12 @ SY49 )
            | ( SV12 = SY49 )
            | ( greater @ SV12 @ SY49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(85,plain,
    ! [SV13: $i] :
      ( ( ! [SY50: $i] :
            ( ~ ( greater @ SV13 @ SY50 )
            | ( greater_or_equal @ SV13 @ SY50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(86,plain,
    ! [SV14: $i] :
      ( ( ! [SY51: $i] :
            ( ( SV14 != SY51 )
            | ( greater_or_equal @ SV14 @ SY51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[70]) ).

thf(87,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(88,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( environment @ SV1 ) )
        = $true )
      | ( ( ! [SY33: $i] :
              ( ( SY33
               != ( critical_point @ SV1 ) )
              | ~ ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(89,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( environment @ SV2 ) )
        = $true )
      | ( ( ! [SY34: $i] :
              ( ( SY34
               != ( critical_point @ SV2 ) )
              | ! [SY35: $i] :
                  ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY35 )
                  | ~ ( greater @ SY35 @ SY34 )
                  | ( greater @ ( growth_rate @ efficient_producers @ SY35 ) @ ( growth_rate @ first_movers @ SY35 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[74]) ).

thf(90,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( environment @ SV3 ) )
        = $true )
      | ( ( ! [SY36: $i] :
              ( ~ ( in_environment @ SV3 @ SY36 )
              | ~ ( greater_or_equal @ SY36 @ ( appear @ efficient_producers @ SV3 ) )
              | ( greater @ ( cardinality_at_time @ efficient_producers @ SY36 ) @ zero ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(91,plain,
    ! [SV15: $i,SV4: $i] :
      ( ( ~ ( environment @ SV4 )
        | ! [SY52: $i,SY53: $i] :
            ( ~ ( subpopulations @ SV15 @ SY52 @ SV4 @ SY53 )
            | ~ ( greater @ ( growth_rate @ SY52 @ SY53 ) @ ( growth_rate @ SV15 @ SY53 ) )
            | ( selection_favors @ SY52 @ SV15 @ SY53 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[76]) ).

thf(92,plain,
    ! [SV16: $i,SV5: $i] :
      ( ( ~ ( environment @ SV5 )
        | ! [SY54: $i] :
            ( ~ ( subpopulation @ SV16 @ SV5 @ SY54 )
            | ! [SY55: $i] :
                ( ~ ( subpopulation @ SY55 @ SV5 @ SY54 )
                | ~ ( greater @ ( cardinality_at_time @ SV16 @ SY54 ) @ zero )
                | ( ( cardinality_at_time @ SY55 @ SY54 )
                 != zero )
                | ( selection_favors @ SV16 @ SY55 @ SY54 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(93,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( environment @ SV6 ) )
        = $true )
      | ( ( ! [SY43: $i] :
              ( ~ ( in_environment @ SV6 @ SY43 )
              | ~ ( greater @ ( cardinality_at_time @ first_movers @ SY43 ) @ zero )
              | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY43 ) @ zero )
              | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY43 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(94,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( environment @ SV7 ) )
        = $true )
      | ( ( ! [SY44: $i] :
              ( ~ ( in_environment @ SV7 @ SY44 )
              | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SY44 ) @ zero ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(95,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( environment @ SV8 ) )
        = $true )
      | ( ( ! [SY45: $i] :
              ( ~ ( in_environment @ SV8 @ SY45 )
              | ( subpopulation @ first_movers @ SV8 @ SY45 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[80]) ).

thf(96,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( environment @ SV9 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( in_environment @ SV9 @ SY46 )
              | ( subpopulation @ efficient_producers @ SV9 @ SY46 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(97,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( environment @ SV10 ) )
        = $true )
      | ( ( greater_or_equal @ ( critical_point @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(98,plain,
    ! [SV17: $i,SV11: $i] :
      ( ( ~ ( greater @ SV11 @ SV17 )
        | ! [SY56: $i] :
            ( ~ ( greater @ SV17 @ SY56 )
            | ( greater @ SV11 @ SY56 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(99,plain,
    ! [SV18: $i,SV12: $i] :
      ( ( ~ ( greater_or_equal @ SV12 @ SV18 )
        | ( SV12 = SV18 )
        | ( greater @ SV12 @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(100,plain,
    ! [SV19: $i,SV13: $i] :
      ( ( ~ ( greater @ SV13 @ SV19 )
        | ( greater_or_equal @ SV13 @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(101,plain,
    ! [SV20: $i,SV14: $i] :
      ( ( ( SV14 != SV20 )
        | ( greater_or_equal @ SV14 @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(102,plain,
    ! [SV1: $i] :
      ( ( ( environment @ SV1 )
        = $false )
      | ( ( ! [SY33: $i] :
              ( ( SY33
               != ( critical_point @ SV1 ) )
              | ~ ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(103,plain,
    ! [SV2: $i] :
      ( ( ( environment @ SV2 )
        = $false )
      | ( ( ! [SY34: $i] :
              ( ( SY34
               != ( critical_point @ SV2 ) )
              | ! [SY35: $i] :
                  ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY35 )
                  | ~ ( greater @ SY35 @ SY34 )
                  | ( greater @ ( growth_rate @ efficient_producers @ SY35 ) @ ( growth_rate @ first_movers @ SY35 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(104,plain,
    ! [SV3: $i] :
      ( ( ( environment @ SV3 )
        = $false )
      | ( ( ! [SY36: $i] :
              ( ~ ( in_environment @ SV3 @ SY36 )
              | ~ ( greater_or_equal @ SY36 @ ( appear @ efficient_producers @ SV3 ) )
              | ( greater @ ( cardinality_at_time @ efficient_producers @ SY36 ) @ zero ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(105,plain,
    ! [SV15: $i,SV4: $i] :
      ( ( ( ~ ( environment @ SV4 ) )
        = $true )
      | ( ( ! [SY52: $i,SY53: $i] :
              ( ~ ( subpopulations @ SV15 @ SY52 @ SV4 @ SY53 )
              | ~ ( greater @ ( growth_rate @ SY52 @ SY53 ) @ ( growth_rate @ SV15 @ SY53 ) )
              | ( selection_favors @ SY52 @ SV15 @ SY53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(106,plain,
    ! [SV16: $i,SV5: $i] :
      ( ( ( ~ ( environment @ SV5 ) )
        = $true )
      | ( ( ! [SY54: $i] :
              ( ~ ( subpopulation @ SV16 @ SV5 @ SY54 )
              | ! [SY55: $i] :
                  ( ~ ( subpopulation @ SY55 @ SV5 @ SY54 )
                  | ~ ( greater @ ( cardinality_at_time @ SV16 @ SY54 ) @ zero )
                  | ( ( cardinality_at_time @ SY55 @ SY54 )
                   != zero )
                  | ( selection_favors @ SV16 @ SY55 @ SY54 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(107,plain,
    ! [SV6: $i] :
      ( ( ( environment @ SV6 )
        = $false )
      | ( ( ! [SY43: $i] :
              ( ~ ( in_environment @ SV6 @ SY43 )
              | ~ ( greater @ ( cardinality_at_time @ first_movers @ SY43 ) @ zero )
              | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY43 ) @ zero )
              | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SY43 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(108,plain,
    ! [SV7: $i] :
      ( ( ( environment @ SV7 )
        = $false )
      | ( ( ! [SY44: $i] :
              ( ~ ( in_environment @ SV7 @ SY44 )
              | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SY44 ) @ zero ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(109,plain,
    ! [SV8: $i] :
      ( ( ( environment @ SV8 )
        = $false )
      | ( ( ! [SY45: $i] :
              ( ~ ( in_environment @ SV8 @ SY45 )
              | ( subpopulation @ first_movers @ SV8 @ SY45 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(110,plain,
    ! [SV9: $i] :
      ( ( ( environment @ SV9 )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( in_environment @ SV9 @ SY46 )
              | ( subpopulation @ efficient_producers @ SV9 @ SY46 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(111,plain,
    ! [SV10: $i] :
      ( ( ( environment @ SV10 )
        = $false )
      | ( ( greater_or_equal @ ( critical_point @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(112,plain,
    ! [SV17: $i,SV11: $i] :
      ( ( ( ~ ( greater @ SV11 @ SV17 ) )
        = $true )
      | ( ( ! [SY56: $i] :
              ( ~ ( greater @ SV17 @ SY56 )
              | ( greater @ SV11 @ SY56 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(113,plain,
    ! [SV18: $i,SV12: $i] :
      ( ( ( ~ ( greater_or_equal @ SV12 @ SV18 ) )
        = $true )
      | ( ( ( SV12 = SV18 )
          | ( greater @ SV12 @ SV18 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(114,plain,
    ! [SV19: $i,SV13: $i] :
      ( ( ( ~ ( greater @ SV13 @ SV19 ) )
        = $true )
      | ( ( greater_or_equal @ SV13 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(115,plain,
    ! [SV20: $i,SV14: $i] :
      ( ( ( ( SV14 != SV20 ) )
        = $true )
      | ( ( greater_or_equal @ SV14 @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[101]) ).

thf(116,plain,
    ! [SV1: $i,SV21: $i] :
      ( ( ( ( SV21
           != ( critical_point @ SV1 ) )
          | ~ ( greater @ ( growth_rate @ efficient_producers @ SV21 ) @ ( growth_rate @ first_movers @ SV21 ) ) )
        = $true )
      | ( ( environment @ SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(117,plain,
    ! [SV2: $i,SV22: $i] :
      ( ( ( ( SV22
           != ( critical_point @ SV2 ) )
          | ! [SY57: $i] :
              ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY57 )
              | ~ ( greater @ SY57 @ SV22 )
              | ( greater @ ( growth_rate @ efficient_producers @ SY57 ) @ ( growth_rate @ first_movers @ SY57 ) ) ) )
        = $true )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[103]) ).

thf(118,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( ~ ( in_environment @ SV3 @ SV23 )
          | ~ ( greater_or_equal @ SV23 @ ( appear @ efficient_producers @ SV3 ) )
          | ( greater @ ( cardinality_at_time @ efficient_producers @ SV23 ) @ zero ) )
        = $true )
      | ( ( environment @ SV3 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[104]) ).

thf(119,plain,
    ! [SV15: $i,SV4: $i] :
      ( ( ( environment @ SV4 )
        = $false )
      | ( ( ! [SY52: $i,SY53: $i] :
              ( ~ ( subpopulations @ SV15 @ SY52 @ SV4 @ SY53 )
              | ~ ( greater @ ( growth_rate @ SY52 @ SY53 ) @ ( growth_rate @ SV15 @ SY53 ) )
              | ( selection_favors @ SY52 @ SV15 @ SY53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(120,plain,
    ! [SV16: $i,SV5: $i] :
      ( ( ( environment @ SV5 )
        = $false )
      | ( ( ! [SY54: $i] :
              ( ~ ( subpopulation @ SV16 @ SV5 @ SY54 )
              | ! [SY55: $i] :
                  ( ~ ( subpopulation @ SY55 @ SV5 @ SY54 )
                  | ~ ( greater @ ( cardinality_at_time @ SV16 @ SY54 ) @ zero )
                  | ( ( cardinality_at_time @ SY55 @ SY54 )
                   != zero )
                  | ( selection_favors @ SV16 @ SY55 @ SY54 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(121,plain,
    ! [SV24: $i,SV6: $i] :
      ( ( ( ~ ( in_environment @ SV6 @ SV24 )
          | ~ ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero )
          | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero )
          | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 ) )
        = $true )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(122,plain,
    ! [SV25: $i,SV7: $i] :
      ( ( ( ~ ( in_environment @ SV7 @ SV25 )
          | ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SV25 ) @ zero ) )
        = $true )
      | ( ( environment @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(123,plain,
    ! [SV26: $i,SV8: $i] :
      ( ( ( ~ ( in_environment @ SV8 @ SV26 )
          | ( subpopulation @ first_movers @ SV8 @ SV26 ) )
        = $true )
      | ( ( environment @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[109]) ).

thf(124,plain,
    ! [SV27: $i,SV9: $i] :
      ( ( ( ~ ( in_environment @ SV9 @ SV27 )
          | ( subpopulation @ efficient_producers @ SV9 @ SV27 ) )
        = $true )
      | ( ( environment @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(125,plain,
    ! [SV17: $i,SV11: $i] :
      ( ( ( greater @ SV11 @ SV17 )
        = $false )
      | ( ( ! [SY56: $i] :
              ( ~ ( greater @ SV17 @ SY56 )
              | ( greater @ SV11 @ SY56 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(126,plain,
    ! [SV18: $i,SV12: $i] :
      ( ( ( greater_or_equal @ SV12 @ SV18 )
        = $false )
      | ( ( ( SV12 = SV18 )
          | ( greater @ SV12 @ SV18 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(127,plain,
    ! [SV19: $i,SV13: $i] :
      ( ( ( greater @ SV13 @ SV19 )
        = $false )
      | ( ( greater_or_equal @ SV13 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[114]) ).

thf(128,plain,
    ! [SV20: $i,SV14: $i] :
      ( ( ( SV14 = SV20 )
        = $false )
      | ( ( greater_or_equal @ SV14 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(129,plain,
    ! [SV1: $i,SV21: $i] :
      ( ( ( ( SV21
           != ( critical_point @ SV1 ) ) )
        = $true )
      | ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV21 ) @ ( growth_rate @ first_movers @ SV21 ) ) )
        = $true )
      | ( ( environment @ SV1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[116]) ).

thf(130,plain,
    ! [SV2: $i,SV22: $i] :
      ( ( ( ( SV22
           != ( critical_point @ SV2 ) ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY57 )
              | ~ ( greater @ SY57 @ SV22 )
              | ( greater @ ( growth_rate @ efficient_producers @ SY57 ) @ ( growth_rate @ first_movers @ SY57 ) ) ) )
        = $true )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[117]) ).

thf(131,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( ~ ( in_environment @ SV3 @ SV23 ) )
        = $true )
      | ( ( ~ ( greater_or_equal @ SV23 @ ( appear @ efficient_producers @ SV3 ) )
          | ( greater @ ( cardinality_at_time @ efficient_producers @ SV23 ) @ zero ) )
        = $true )
      | ( ( environment @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(132,plain,
    ! [SV4: $i,SV28: $i,SV15: $i] :
      ( ( ( ! [SY58: $i] :
              ( ~ ( subpopulations @ SV15 @ SV28 @ SV4 @ SY58 )
              | ~ ( greater @ ( growth_rate @ SV28 @ SY58 ) @ ( growth_rate @ SV15 @ SY58 ) )
              | ( selection_favors @ SV28 @ SV15 @ SY58 ) ) )
        = $true )
      | ( ( environment @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[119]) ).

thf(133,plain,
    ! [SV29: $i,SV5: $i,SV16: $i] :
      ( ( ( ~ ( subpopulation @ SV16 @ SV5 @ SV29 )
          | ! [SY59: $i] :
              ( ~ ( subpopulation @ SY59 @ SV5 @ SV29 )
              | ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
              | ( ( cardinality_at_time @ SY59 @ SV29 )
               != zero )
              | ( selection_favors @ SV16 @ SY59 @ SV29 ) ) )
        = $true )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[120]) ).

thf(134,plain,
    ! [SV24: $i,SV6: $i] :
      ( ( ( ~ ( in_environment @ SV6 @ SV24 ) )
        = $true )
      | ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero )
          | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero )
          | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 ) )
        = $true )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[121]) ).

thf(135,plain,
    ! [SV25: $i,SV7: $i] :
      ( ( ( ~ ( in_environment @ SV7 @ SV25 ) )
        = $true )
      | ( ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SV25 ) @ zero )
        = $true )
      | ( ( environment @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[122]) ).

thf(136,plain,
    ! [SV26: $i,SV8: $i] :
      ( ( ( ~ ( in_environment @ SV8 @ SV26 ) )
        = $true )
      | ( ( subpopulation @ first_movers @ SV8 @ SV26 )
        = $true )
      | ( ( environment @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[123]) ).

thf(137,plain,
    ! [SV27: $i,SV9: $i] :
      ( ( ( ~ ( in_environment @ SV9 @ SV27 ) )
        = $true )
      | ( ( subpopulation @ efficient_producers @ SV9 @ SV27 )
        = $true )
      | ( ( environment @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(138,plain,
    ! [SV11: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( greater @ SV17 @ SV30 )
          | ( greater @ SV11 @ SV30 ) )
        = $true )
      | ( ( greater @ SV11 @ SV17 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[125]) ).

thf(139,plain,
    ! [SV18: $i,SV12: $i] :
      ( ( ( SV12 = SV18 )
        = $true )
      | ( ( greater @ SV12 @ SV18 )
        = $true )
      | ( ( greater_or_equal @ SV12 @ SV18 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[126]) ).

thf(140,plain,
    ! [SV1: $i,SV21: $i] :
      ( ( ( SV21
          = ( critical_point @ SV1 ) )
        = $false )
      | ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV21 ) @ ( growth_rate @ first_movers @ SV21 ) ) )
        = $true )
      | ( ( environment @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(141,plain,
    ! [SV2: $i,SV22: $i] :
      ( ( ( SV22
          = ( critical_point @ SV2 ) )
        = $false )
      | ( ( ! [SY57: $i] :
              ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY57 )
              | ~ ( greater @ SY57 @ SV22 )
              | ( greater @ ( growth_rate @ efficient_producers @ SY57 ) @ ( growth_rate @ first_movers @ SY57 ) ) ) )
        = $true )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(142,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( in_environment @ SV3 @ SV23 )
        = $false )
      | ( ( ~ ( greater_or_equal @ SV23 @ ( appear @ efficient_producers @ SV3 ) )
          | ( greater @ ( cardinality_at_time @ efficient_producers @ SV23 ) @ zero ) )
        = $true )
      | ( ( environment @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(143,plain,
    ! [SV31: $i,SV4: $i,SV28: $i,SV15: $i] :
      ( ( ( ~ ( subpopulations @ SV15 @ SV28 @ SV4 @ SV31 )
          | ~ ( greater @ ( growth_rate @ SV28 @ SV31 ) @ ( growth_rate @ SV15 @ SV31 ) )
          | ( selection_favors @ SV28 @ SV15 @ SV31 ) )
        = $true )
      | ( ( environment @ SV4 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[132]) ).

thf(144,plain,
    ! [SV29: $i,SV5: $i,SV16: $i] :
      ( ( ( ~ ( subpopulation @ SV16 @ SV5 @ SV29 ) )
        = $true )
      | ( ( ! [SY59: $i] :
              ( ~ ( subpopulation @ SY59 @ SV5 @ SV29 )
              | ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
              | ( ( cardinality_at_time @ SY59 @ SV29 )
               != zero )
              | ( selection_favors @ SV16 @ SY59 @ SV29 ) ) )
        = $true )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(145,plain,
    ! [SV24: $i,SV6: $i] :
      ( ( ( in_environment @ SV6 @ SV24 )
        = $false )
      | ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero )
          | ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero )
          | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 ) )
        = $true )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(146,plain,
    ! [SV25: $i,SV7: $i] :
      ( ( ( in_environment @ SV7 @ SV25 )
        = $false )
      | ( ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SV25 ) @ zero )
        = $true )
      | ( ( environment @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(147,plain,
    ! [SV26: $i,SV8: $i] :
      ( ( ( in_environment @ SV8 @ SV26 )
        = $false )
      | ( ( subpopulation @ first_movers @ SV8 @ SV26 )
        = $true )
      | ( ( environment @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(148,plain,
    ! [SV27: $i,SV9: $i] :
      ( ( ( in_environment @ SV9 @ SV27 )
        = $false )
      | ( ( subpopulation @ efficient_producers @ SV9 @ SV27 )
        = $true )
      | ( ( environment @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(149,plain,
    ! [SV11: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( greater @ SV17 @ SV30 ) )
        = $true )
      | ( ( greater @ SV11 @ SV30 )
        = $true )
      | ( ( greater @ SV11 @ SV17 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[138]) ).

thf(150,plain,
    ! [SV1: $i,SV21: $i] :
      ( ( ( greater @ ( growth_rate @ efficient_producers @ SV21 ) @ ( growth_rate @ first_movers @ SV21 ) )
        = $false )
      | ( ( SV21
          = ( critical_point @ SV1 ) )
        = $false )
      | ( ( environment @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[140]) ).

thf(151,plain,
    ! [SV22: $i,SV32: $i,SV2: $i] :
      ( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV32 )
          | ~ ( greater @ SV32 @ SV22 )
          | ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ ( growth_rate @ first_movers @ SV32 ) ) )
        = $true )
      | ( ( SV22
          = ( critical_point @ SV2 ) )
        = $false )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[141]) ).

thf(152,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ( greater_or_equal @ SV23 @ ( appear @ efficient_producers @ SV3 ) ) )
        = $true )
      | ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV23 ) @ zero )
        = $true )
      | ( ( in_environment @ SV3 @ SV23 )
        = $false )
      | ( ( environment @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[142]) ).

thf(153,plain,
    ! [SV31: $i,SV4: $i,SV28: $i,SV15: $i] :
      ( ( ( ~ ( subpopulations @ SV15 @ SV28 @ SV4 @ SV31 ) )
        = $true )
      | ( ( ~ ( greater @ ( growth_rate @ SV28 @ SV31 ) @ ( growth_rate @ SV15 @ SV31 ) )
          | ( selection_favors @ SV28 @ SV15 @ SV31 ) )
        = $true )
      | ( ( environment @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[143]) ).

thf(154,plain,
    ! [SV29: $i,SV5: $i,SV16: $i] :
      ( ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( ! [SY59: $i] :
              ( ~ ( subpopulation @ SY59 @ SV5 @ SV29 )
              | ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
              | ( ( cardinality_at_time @ SY59 @ SV29 )
               != zero )
              | ( selection_favors @ SV16 @ SY59 @ SV29 ) ) )
        = $true )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(155,plain,
    ! [SV6: $i,SV24: $i] :
      ( ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero ) )
        = $true )
      | ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero )
          | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 ) )
        = $true )
      | ( ( in_environment @ SV6 @ SV24 )
        = $false )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[145]) ).

thf(156,plain,
    ! [SV11: $i,SV30: $i,SV17: $i] :
      ( ( ( greater @ SV17 @ SV30 )
        = $false )
      | ( ( greater @ SV11 @ SV30 )
        = $true )
      | ( ( greater @ SV11 @ SV17 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(157,plain,
    ! [SV22: $i,SV32: $i,SV2: $i] :
      ( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV32 ) )
        = $true )
      | ( ( ~ ( greater @ SV32 @ SV22 )
          | ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ ( growth_rate @ first_movers @ SV32 ) ) )
        = $true )
      | ( ( SV22
          = ( critical_point @ SV2 ) )
        = $false )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[151]) ).

thf(158,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( greater_or_equal @ SV23 @ ( appear @ efficient_producers @ SV3 ) )
        = $false )
      | ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV23 ) @ zero )
        = $true )
      | ( ( in_environment @ SV3 @ SV23 )
        = $false )
      | ( ( environment @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(159,plain,
    ! [SV31: $i,SV4: $i,SV28: $i,SV15: $i] :
      ( ( ( subpopulations @ SV15 @ SV28 @ SV4 @ SV31 )
        = $false )
      | ( ( ~ ( greater @ ( growth_rate @ SV28 @ SV31 ) @ ( growth_rate @ SV15 @ SV31 ) )
          | ( selection_favors @ SV28 @ SV15 @ SV31 ) )
        = $true )
      | ( ( environment @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(160,plain,
    ! [SV16: $i,SV29: $i,SV5: $i,SV33: $i] :
      ( ( ( ~ ( subpopulation @ SV33 @ SV5 @ SV29 )
          | ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
          | ( ( cardinality_at_time @ SV33 @ SV29 )
           != zero )
          | ( selection_favors @ SV16 @ SV33 @ SV29 ) )
        = $true )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(161,plain,
    ! [SV6: $i,SV24: $i] :
      ( ( ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero )
        = $false )
      | ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero )
          | ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 ) )
        = $true )
      | ( ( in_environment @ SV6 @ SV24 )
        = $false )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[155]) ).

thf(162,plain,
    ! [SV22: $i,SV32: $i,SV2: $i] :
      ( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV32 )
        = $false )
      | ( ( ~ ( greater @ SV32 @ SV22 )
          | ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ ( growth_rate @ first_movers @ SV32 ) ) )
        = $true )
      | ( ( SV22
          = ( critical_point @ SV2 ) )
        = $false )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(163,plain,
    ! [SV4: $i,SV15: $i,SV31: $i,SV28: $i] :
      ( ( ( ~ ( greater @ ( growth_rate @ SV28 @ SV31 ) @ ( growth_rate @ SV15 @ SV31 ) ) )
        = $true )
      | ( ( selection_favors @ SV28 @ SV15 @ SV31 )
        = $true )
      | ( ( subpopulations @ SV15 @ SV28 @ SV4 @ SV31 )
        = $false )
      | ( ( environment @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[159]) ).

thf(164,plain,
    ! [SV16: $i,SV29: $i,SV5: $i,SV33: $i] :
      ( ( ( ~ ( subpopulation @ SV33 @ SV5 @ SV29 ) )
        = $true )
      | ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
          | ( ( cardinality_at_time @ SV33 @ SV29 )
           != zero )
          | ( selection_favors @ SV16 @ SV33 @ SV29 ) )
        = $true )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[160]) ).

thf(165,plain,
    ! [SV6: $i,SV24: $i] :
      ( ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero ) )
        = $true )
      | ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
        = $true )
      | ( ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero )
        = $false )
      | ( ( in_environment @ SV6 @ SV24 )
        = $false )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[161]) ).

thf(166,plain,
    ! [SV2: $i,SV22: $i,SV32: $i] :
      ( ( ( ~ ( greater @ SV32 @ SV22 ) )
        = $true )
      | ( ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ ( growth_rate @ first_movers @ SV32 ) )
        = $true )
      | ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV32 )
        = $false )
      | ( ( SV22
          = ( critical_point @ SV2 ) )
        = $false )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(167,plain,
    ! [SV4: $i,SV15: $i,SV31: $i,SV28: $i] :
      ( ( ( greater @ ( growth_rate @ SV28 @ SV31 ) @ ( growth_rate @ SV15 @ SV31 ) )
        = $false )
      | ( ( selection_favors @ SV28 @ SV15 @ SV31 )
        = $true )
      | ( ( subpopulations @ SV15 @ SV28 @ SV4 @ SV31 )
        = $false )
      | ( ( environment @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[163]) ).

thf(168,plain,
    ! [SV16: $i,SV29: $i,SV5: $i,SV33: $i] :
      ( ( ( subpopulation @ SV33 @ SV5 @ SV29 )
        = $false )
      | ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
          | ( ( cardinality_at_time @ SV33 @ SV29 )
           != zero )
          | ( selection_favors @ SV16 @ SV33 @ SV29 ) )
        = $true )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[164]) ).

thf(169,plain,
    ! [SV6: $i,SV24: $i] :
      ( ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV24 ) @ zero )
        = $false )
      | ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ SV24 )
        = $true )
      | ( ( greater @ ( cardinality_at_time @ first_movers @ SV24 ) @ zero )
        = $false )
      | ( ( in_environment @ SV6 @ SV24 )
        = $false )
      | ( ( environment @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(170,plain,
    ! [SV2: $i,SV22: $i,SV32: $i] :
      ( ( ( greater @ SV32 @ SV22 )
        = $false )
      | ( ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ ( growth_rate @ first_movers @ SV32 ) )
        = $true )
      | ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV32 )
        = $false )
      | ( ( SV22
          = ( critical_point @ SV2 ) )
        = $false )
      | ( ( environment @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(171,plain,
    ! [SV5: $i,SV33: $i,SV29: $i,SV16: $i] :
      ( ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero ) )
        = $true )
      | ( ( ( ( cardinality_at_time @ SV33 @ SV29 )
           != zero )
          | ( selection_favors @ SV16 @ SV33 @ SV29 ) )
        = $true )
      | ( ( subpopulation @ SV33 @ SV5 @ SV29 )
        = $false )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(172,plain,
    ! [SV5: $i,SV33: $i,SV29: $i,SV16: $i] :
      ( ( ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
        = $false )
      | ( ( ( ( cardinality_at_time @ SV33 @ SV29 )
           != zero )
          | ( selection_favors @ SV16 @ SV33 @ SV29 ) )
        = $true )
      | ( ( subpopulation @ SV33 @ SV5 @ SV29 )
        = $false )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(173,plain,
    ! [SV5: $i,SV16: $i,SV29: $i,SV33: $i] :
      ( ( ( ( ( cardinality_at_time @ SV33 @ SV29 )
           != zero ) )
        = $true )
      | ( ( selection_favors @ SV16 @ SV33 @ SV29 )
        = $true )
      | ( ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
        = $false )
      | ( ( subpopulation @ SV33 @ SV5 @ SV29 )
        = $false )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[172]) ).

thf(174,plain,
    ! [SV5: $i,SV16: $i,SV29: $i,SV33: $i] :
      ( ( ( ( cardinality_at_time @ SV33 @ SV29 )
          = zero )
        = $false )
      | ( ( selection_favors @ SV16 @ SV33 @ SV29 )
        = $true )
      | ( ( greater @ ( cardinality_at_time @ SV16 @ SV29 ) @ zero )
        = $false )
      | ( ( subpopulation @ SV33 @ SV5 @ SV29 )
        = $false )
      | ( ( subpopulation @ SV16 @ SV5 @ SV29 )
        = $false )
      | ( ( environment @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(175,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[53,174,170,169,167,158,156,150,148,147,146,139,128,127,111,87,72,55,54]) ).

thf(176,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[175]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT026-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 08:36:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  
% 0.20/0.36   No.of.Axioms: 18
% 0.20/0.36  
% 0.20/0.36   Length.of.Defs: 0
% 0.20/0.36  
% 0.20/0.36   Contains.Choice.Funs: false
% 0.20/0.38  (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:20,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.20/0.53  
% 0.20/0.53  ********************************
% 0.20/0.53  *   All subproblems solved!    *
% 0.20/0.53  ********************************
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:175,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.54  
% 0.20/0.54  %**** Beginning of derivation protocol ****
% 0.20/0.54  % SZS output start CNFRefutation
% See solution above
% 0.20/0.55  
% 0.20/0.55  %**** End of derivation protocol ****
% 0.20/0.55  %**** no. of clauses in derivation: 176 ****
% 0.20/0.55  %**** clause counter: 175 ****
% 0.20/0.55  
% 0.20/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:175,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------