%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:34 AM UTC 2026
% Result : Unsatisfiable 232.29s 38.94s
% Output : CNFRefutation 232.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 31
% Syntax : Number of formulae : 270 ( 126 unt; 0 typ; 0 def)
% Number of atoms : 1972 ( 533 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 4566 ( 526 ~; 720 |; 0 &;3320 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 560 ( 0 ^; 560 !; 0 ?; 560 :)
% 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_decreases,type,
decreases: $i > $o ).
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_disbanding_rate,type,
disbanding_rate: $i > $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_founding_rate,type,
founding_rate: $i > $i > $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_start_time,type,
start_time: $i > $i ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( subpopulations @ efficient_producers @ first_movers @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
thf(7,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/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP_47) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( critical_point @ A ) )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ~ ( greater @ ( critical_point @ A ) @ B )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points_46) ).
thf(9,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( appear @ first_movers @ A ) @ ( start_time @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_FM_before_opening_45) ).
thf(10,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( in_environment @ A @ ( start_time @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_opening_time_in_duration_44) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ~ ( greater_or_equal @ C @ D )
| ~ ( greater_or_equal @ D @ B )
| ( in_environment @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_durations_are_time_intervals_43) ).
thf(12,axiom,
! [A: $i] :
( ~ ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_42) ).
thf(13,axiom,
! [A: $i] :
( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).
thf(14,axiom,
! [A: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_40) ).
thf(15,axiom,
! [A: $i] :
( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero )
| ~ ( greater_or_equal @ C @ ( appear @ efficient_producers @ A ) )
| ~ ( greater @ B @ C )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function_38) ).
thf(17,axiom,
! [A: $i] :
( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ A ) @ ( founding_rate @ efficient_producers @ A ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ A ) @ ( disbanding_rate @ efficient_producers @ A ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).
thf(18,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( appear @ efficient_producers @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( appear @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
thf(19,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( critical_point @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( critical_point @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_34) ).
thf(21,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/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ B ) @ ( founding_rate @ efficient_producers @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_57) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_56) ).
thf(24,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/sandbox2/benchmark/theBenchmark.p',d1_55) ).
thf(25,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/sandbox2/benchmark/theBenchmark.p',d1_54) ).
thf(26,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(27,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,negated_conjecture,
~ ( selection_favors @ first_movers @ efficient_producers @ sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_62) ).
thf(29,negated_conjecture,
greater @ ( critical_point @ sk1 ) @ sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).
thf(30,negated_conjecture,
greater_or_equal @ sk2 @ ( appear @ efficient_producers @ sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_60) ).
thf(31,negated_conjecture,
in_environment @ sk1 @ ( critical_point @ sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_59) ).
thf(32,negated_conjecture,
environment @ sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_58) ).
thf(33,plain,
$false = $false,
inference(unfold_def,[status(thm)],[27]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( subpopulations @ efficient_producers @ first_movers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(40,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)],[7]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( critical_point @ A ) )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ~ ( greater @ ( critical_point @ A ) @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(42,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( appear @ first_movers @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(43,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( in_environment @ A @ ( start_time @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(44,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ~ ( greater_or_equal @ C @ D )
| ~ ( greater_or_equal @ D @ B )
| ( in_environment @ A @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(45,plain,
( ( ! [A: $i] :
( ~ ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(46,plain,
( ( ! [A: $i] :
( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(47,plain,
( ( ! [A: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(48,plain,
( ( ! [A: $i] :
( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero )
| ~ ( greater_or_equal @ C @ ( appear @ efficient_producers @ A ) )
| ~ ( greater @ B @ C )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(50,plain,
( ( ! [A: $i] :
( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ A ) @ ( founding_rate @ efficient_producers @ A ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ A ) @ ( disbanding_rate @ efficient_producers @ A ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( appear @ efficient_producers @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( appear @ efficient_producers @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(52,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( critical_point @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( critical_point @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(54,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)],[21]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ B ) @ ( founding_rate @ efficient_producers @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(57,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)],[24]) ).
thf(58,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)],[25]) ).
thf(59,plain,
( ( ~ ( selection_favors @ first_movers @ efficient_producers @ sk2 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(60,plain,
( ( greater @ ( critical_point @ sk1 ) @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(61,plain,
( ( greater_or_equal @ sk2 @ ( appear @ efficient_producers @ sk1 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(62,plain,
( ( in_environment @ sk1 @ ( critical_point @ sk1 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(63,plain,
( ( environment @ sk1 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(64,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(65,plain,
( ( environment @ sk1 )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(66,plain,
( ( in_environment @ sk1 @ ( critical_point @ sk1 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(67,plain,
( ( greater_or_equal @ sk2 @ ( appear @ efficient_producers @ sk1 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(68,plain,
( ( greater @ ( critical_point @ sk1 ) @ sk2 )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(69,plain,
( ( ~ ( selection_favors @ first_movers @ efficient_producers @ sk2 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( B
!= ( critical_point @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(71,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(copy,[status(thm)],[57]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ D @ B )
| ~ ( greater_or_equal @ C @ D )
| ( subpopulations @ first_movers @ efficient_producers @ A @ D ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ B ) @ ( founding_rate @ efficient_producers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(74,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(copy,[status(thm)],[54]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ B ) @ ( disbanding_rate @ efficient_producers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(76,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( critical_point @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( critical_point @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(77,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( appear @ efficient_producers @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( appear @ efficient_producers @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(78,plain,
( ( ! [A: $i] :
( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ A ) @ ( founding_rate @ efficient_producers @ A ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ A ) @ ( disbanding_rate @ efficient_producers @ A ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero )
| ~ ( greater_or_equal @ C @ ( appear @ efficient_producers @ A ) )
| ~ ( greater @ B @ C )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ C ) @ ( growth_rate @ efficient_producers @ C ) ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(80,plain,
( ( ! [A: $i] :
( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(81,plain,
( ( ! [A: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ A ) @ ( growth_rate @ first_movers @ A ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(82,plain,
( ( ! [A: $i] :
( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(83,plain,
( ( ! [A: $i] :
( ~ ( greater @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ A ) @ ( growth_rate @ efficient_producers @ A ) ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ~ ( greater_or_equal @ C @ D )
| ~ ( greater_or_equal @ D @ B )
| ( in_environment @ A @ D ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(85,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( in_environment @ A @ ( start_time @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(86,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( appear @ first_movers @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ ( critical_point @ A ) )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ~ ( greater @ ( critical_point @ A ) @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(88,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(copy,[status(thm)],[40]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( subpopulations @ efficient_producers @ first_movers @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ B ) @ ( growth_rate @ efficient_producers @ B ) ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(95,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[64]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( environment @ SX0 )
| ( SX1
!= ( critical_point @ SX0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX2 )
| ~ ( greater @ SX2 @ SX1 )
| ( greater @ ( growth_rate @ efficient_producers @ SX2 ) @ ( growth_rate @ first_movers @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(98,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ( SX1
!= ( critical_point @ SX0 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SX1 ) @ ( growth_rate @ first_movers @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(99,plain,
( ( selection_favors @ first_movers @ efficient_producers @ sk2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(100,plain,
! [SV1: $i] :
( ( ! [SY49: $i,SY50: $i,SY51: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SY49 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SY50 )
| ~ ( greater_or_equal @ SY51 @ SY49 )
| ~ ( greater_or_equal @ SY50 @ SY51 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(101,plain,
! [SV2: $i] :
( ( ! [SY52: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY52 )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SY52 ) @ ( founding_rate @ efficient_producers @ SY52 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(102,plain,
! [SV3: $i] :
( ( ! [SY53: $i,SY54: $i,SY55: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulations @ SY53 @ SY54 @ SV3 @ SY55 )
| ~ ( greater @ ( growth_rate @ SY54 @ SY55 ) @ ( growth_rate @ SY53 @ SY55 ) )
| ( selection_favors @ SY54 @ SY53 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(103,plain,
! [SV4: $i] :
( ( ! [SY56: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY56 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY56 ) @ ( disbanding_rate @ efficient_producers @ SY56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(104,plain,
! [SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ ( critical_point @ SV5 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV5 @ ( critical_point @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(105,plain,
! [SV6: $i] :
( ( ~ ( environment @ SV6 )
| ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(106,plain,
! [SV7: $i] :
( ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV7 ) @ ( founding_rate @ efficient_producers @ SV7 ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV7 ) @ ( disbanding_rate @ efficient_producers @ SV7 ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(107,plain,
! [SV8: $i] :
( ( ! [SY57: $i,SY58: $i] :
( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SY57 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SY57 ) @ ( growth_rate @ efficient_producers @ SY57 ) ) @ zero )
| ~ ( greater_or_equal @ SY58 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SY57 @ SY58 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SY58 ) @ ( growth_rate @ efficient_producers @ SY58 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SY58 ) @ ( growth_rate @ efficient_producers @ SY58 ) ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(108,plain,
! [SV9: $i] :
( ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV9 ) @ ( growth_rate @ efficient_producers @ SV9 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(109,plain,
! [SV10: $i] :
( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV10 ) @ ( growth_rate @ first_movers @ SV10 ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV10 ) @ ( growth_rate @ efficient_producers @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(110,plain,
! [SV11: $i] :
( ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV11 ) @ ( growth_rate @ efficient_producers @ SV11 ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ SV11 ) @ ( growth_rate @ efficient_producers @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(111,plain,
! [SV12: $i] :
( ( ~ ( greater @ ( growth_rate @ first_movers @ SV12 ) @ ( growth_rate @ efficient_producers @ SV12 ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV12 ) @ ( growth_rate @ efficient_producers @ SV12 ) ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(112,plain,
! [SV13: $i] :
( ( ! [SY59: $i,SY60: $i,SY61: $i] :
( ~ ( environment @ SV13 )
| ~ ( in_environment @ SV13 @ SY59 )
| ~ ( in_environment @ SV13 @ SY60 )
| ~ ( greater_or_equal @ SY60 @ SY61 )
| ~ ( greater_or_equal @ SY61 @ SY59 )
| ( in_environment @ SV13 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(113,plain,
! [SV14: $i] :
( ( ~ ( environment @ SV14 )
| ( in_environment @ SV14 @ ( start_time @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(114,plain,
! [SV15: $i] :
( ( ~ ( environment @ SV15 )
| ( greater_or_equal @ ( appear @ first_movers @ SV15 ) @ ( start_time @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(115,plain,
! [SV16: $i] :
( ( ! [SY62: $i] :
( ~ ( environment @ SV16 )
| ~ ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
| ~ ( greater_or_equal @ SY62 @ ( appear @ efficient_producers @ SV16 ) )
| ~ ( greater @ ( critical_point @ SV16 ) @ SY62 )
| ( in_environment @ SV16 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(116,plain,
! [SV17: $i] :
( ( ! [SY63: $i] :
( ~ ( environment @ SV17 )
| ~ ( in_environment @ SV17 @ SY63 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SY63 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY63 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(117,plain,
! [SV18: $i] :
( ( ! [SY64: $i] :
( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SY64 )
| ( subpopulations @ efficient_producers @ first_movers @ SV18 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(118,plain,
! [SV19: $i] :
( ( ! [SY65: $i] :
( ~ ( environment @ SV19 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SY65 )
| ( greater_or_equal @ SY65 @ ( appear @ efficient_producers @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(119,plain,
! [SV20: $i] :
( ( ! [SY66: $i] :
( ~ ( greater_or_equal @ SV20 @ SY66 )
| ( greater @ SV20 @ SY66 )
| ( SV20 = SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(120,plain,
! [SV21: $i] :
( ( ! [SY67: $i] :
( ~ ( greater @ SV21 @ SY67 )
| ( greater_or_equal @ SV21 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(121,plain,
! [SV22: $i] :
( ( ! [SY68: $i] :
( ~ ( environment @ SV22 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SY68 )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SY68 ) @ ( growth_rate @ efficient_producers @ SY68 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SY68 ) @ ( growth_rate @ efficient_producers @ SY68 ) ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(122,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(123,plain,
! [SV23: $i] :
( ( ! [SY69: $i] :
( ( SV23 != SY69 )
| ( greater_or_equal @ SV23 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(124,plain,
! [SV24: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ~ ( environment @ SV24 )
| ( SY70
!= ( critical_point @ SV24 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SY71 )
| ~ ( greater @ SY71 @ SY70 )
| ( greater @ ( growth_rate @ efficient_producers @ SY71 ) @ ( growth_rate @ first_movers @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(125,plain,
! [SV25: $i] :
( ( ! [SY72: $i] :
( ~ ( environment @ SV25 )
| ( SY72
!= ( critical_point @ SV25 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(126,plain,
! [SV26: $i,SV1: $i] :
( ( ! [SY73: $i,SY74: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SY73 )
| ~ ( greater_or_equal @ SY74 @ SV26 )
| ~ ( greater_or_equal @ SY73 @ SY74 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(127,plain,
! [SV27: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV27 )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV27 ) @ ( founding_rate @ efficient_producers @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(128,plain,
! [SV28: $i,SV3: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulations @ SV28 @ SY75 @ SV3 @ SY76 )
| ~ ( greater @ ( growth_rate @ SY75 @ SY76 ) @ ( growth_rate @ SV28 @ SY76 ) )
| ( selection_favors @ SY75 @ SV28 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(129,plain,
! [SV29: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV29 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV29 ) @ ( disbanding_rate @ efficient_producers @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(130,plain,
! [SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( in_environment @ SV5 @ ( critical_point @ SV5 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV5 @ ( critical_point @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(131,plain,
! [SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(132,plain,
! [SV7: $i] :
( ( ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV7 ) @ ( founding_rate @ efficient_producers @ SV7 ) ) ) )
= $true )
| ( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV7 ) @ ( disbanding_rate @ efficient_producers @ SV7 ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(133,plain,
! [SV30: $i,SV8: $i] :
( ( ! [SY77: $i] :
( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SV30 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
| ~ ( greater_or_equal @ SY77 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SY77 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SY77 ) @ ( growth_rate @ efficient_producers @ SY77 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SY77 ) @ ( growth_rate @ efficient_producers @ SY77 ) ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(134,plain,
! [SV9: $i] :
( ( ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV9 ) @ ( growth_rate @ efficient_producers @ SV9 ) ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(135,plain,
! [SV10: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV10 ) @ ( growth_rate @ first_movers @ SV10 ) ) )
= $true )
| ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV10 ) @ ( growth_rate @ efficient_producers @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(136,plain,
! [SV11: $i] :
( ( ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV11 ) @ ( growth_rate @ efficient_producers @ SV11 ) ) @ zero ) )
= $true )
| ( ( greater @ ( growth_rate @ first_movers @ SV11 ) @ ( growth_rate @ efficient_producers @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(137,plain,
! [SV12: $i] :
( ( ( ~ ( greater @ ( growth_rate @ first_movers @ SV12 ) @ ( growth_rate @ efficient_producers @ SV12 ) ) )
= $true )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV12 ) @ ( growth_rate @ efficient_producers @ SV12 ) ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(138,plain,
! [SV31: $i,SV13: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ~ ( environment @ SV13 )
| ~ ( in_environment @ SV13 @ SV31 )
| ~ ( in_environment @ SV13 @ SY78 )
| ~ ( greater_or_equal @ SY78 @ SY79 )
| ~ ( greater_or_equal @ SY79 @ SV31 )
| ( in_environment @ SV13 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(139,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 ) )
= $true )
| ( ( in_environment @ SV14 @ ( start_time @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(140,plain,
! [SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( greater_or_equal @ ( appear @ first_movers @ SV15 ) @ ( start_time @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(141,plain,
! [SV32: $i,SV16: $i] :
( ( ~ ( environment @ SV16 )
| ~ ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
| ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
| ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(142,plain,
! [SV33: $i,SV17: $i] :
( ( ~ ( environment @ SV17 )
| ~ ( in_environment @ SV17 @ SV33 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(143,plain,
! [SV34: $i,SV18: $i] :
( ( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV34 )
| ( subpopulations @ efficient_producers @ first_movers @ SV18 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(144,plain,
! [SV35: $i,SV19: $i] :
( ( ~ ( environment @ SV19 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV35 )
| ( greater_or_equal @ SV35 @ ( appear @ efficient_producers @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(145,plain,
! [SV36: $i,SV20: $i] :
( ( ~ ( greater_or_equal @ SV20 @ SV36 )
| ( greater @ SV20 @ SV36 )
| ( SV20 = SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(146,plain,
! [SV37: $i,SV21: $i] :
( ( ~ ( greater @ SV21 @ SV37 )
| ( greater_or_equal @ SV21 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(147,plain,
! [SV38: $i,SV22: $i] :
( ( ~ ( environment @ SV22 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SV38 )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(148,plain,
! [SV39: $i,SV23: $i] :
( ( ( SV23 != SV39 )
| ( greater_or_equal @ SV23 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(149,plain,
! [SV40: $i,SV24: $i] :
( ( ! [SY80: $i] :
( ~ ( environment @ SV24 )
| ( SV40
!= ( critical_point @ SV24 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SY80 )
| ~ ( greater @ SY80 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SY80 ) @ ( growth_rate @ first_movers @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(150,plain,
! [SV41: $i,SV25: $i] :
( ( ~ ( environment @ SV25 )
| ( SV41
!= ( critical_point @ SV25 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(151,plain,
! [SV42: $i,SV26: $i,SV1: $i] :
( ( ! [SY81: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
| ~ ( greater_or_equal @ SY81 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SY81 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(152,plain,
! [SV27: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV27 )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV27 ) @ ( founding_rate @ efficient_producers @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(153,plain,
! [SV43: $i,SV28: $i,SV3: $i] :
( ( ! [SY82: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulations @ SV28 @ SV43 @ SV3 @ SY82 )
| ~ ( greater @ ( growth_rate @ SV43 @ SY82 ) @ ( growth_rate @ SV28 @ SY82 ) )
| ( selection_favors @ SV43 @ SV28 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(154,plain,
! [SV29: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV29 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV29 ) @ ( disbanding_rate @ efficient_producers @ SV29 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(155,plain,
! [SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( in_environment @ SV5 @ ( critical_point @ SV5 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV5 @ ( critical_point @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(156,plain,
! [SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(157,plain,
! [SV7: $i] :
( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV7 ) @ ( founding_rate @ efficient_producers @ SV7 ) ) )
= $false )
| ( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV7 ) @ ( disbanding_rate @ efficient_producers @ SV7 ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(158,plain,
! [SV44: $i,SV30: $i,SV8: $i] :
( ( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SV30 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
| ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(159,plain,
! [SV9: $i] :
( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV9 ) @ ( growth_rate @ efficient_producers @ SV9 ) ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV9 ) @ ( growth_rate @ first_movers @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(160,plain,
! [SV10: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV10 ) @ ( growth_rate @ first_movers @ SV10 ) )
= $false )
| ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV10 ) @ ( growth_rate @ efficient_producers @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(161,plain,
! [SV11: $i] :
( ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV11 ) @ ( growth_rate @ efficient_producers @ SV11 ) ) @ zero )
= $false )
| ( ( greater @ ( growth_rate @ first_movers @ SV11 ) @ ( growth_rate @ efficient_producers @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(162,plain,
! [SV12: $i] :
( ( ( greater @ ( growth_rate @ first_movers @ SV12 ) @ ( growth_rate @ efficient_producers @ SV12 ) )
= $false )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV12 ) @ ( growth_rate @ efficient_producers @ SV12 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(163,plain,
! [SV45: $i,SV31: $i,SV13: $i] :
( ( ! [SY83: $i] :
( ~ ( environment @ SV13 )
| ~ ( in_environment @ SV13 @ SV31 )
| ~ ( in_environment @ SV13 @ SV45 )
| ~ ( greater_or_equal @ SV45 @ SY83 )
| ~ ( greater_or_equal @ SY83 @ SV31 )
| ( in_environment @ SV13 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(164,plain,
! [SV14: $i] :
( ( ( environment @ SV14 )
= $false )
| ( ( in_environment @ SV14 @ ( start_time @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(165,plain,
! [SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( greater_or_equal @ ( appear @ first_movers @ SV15 ) @ ( start_time @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(166,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ~ ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
| ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
| ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(167,plain,
! [SV33: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ~ ( in_environment @ SV17 @ SV33 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(168,plain,
! [SV34: $i,SV18: $i] :
( ( ( ~ ( environment @ SV18 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV34 )
| ( subpopulations @ efficient_producers @ first_movers @ SV18 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(169,plain,
! [SV35: $i,SV19: $i] :
( ( ( ~ ( environment @ SV19 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV35 )
| ( greater_or_equal @ SV35 @ ( appear @ efficient_producers @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(170,plain,
! [SV36: $i,SV20: $i] :
( ( ( ~ ( greater_or_equal @ SV20 @ SV36 ) )
= $true )
| ( ( ( greater @ SV20 @ SV36 )
| ( SV20 = SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(171,plain,
! [SV37: $i,SV21: $i] :
( ( ( ~ ( greater @ SV21 @ SV37 ) )
= $true )
| ( ( greater_or_equal @ SV21 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(172,plain,
! [SV38: $i,SV22: $i] :
( ( ( ~ ( environment @ SV22 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SV38 )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(173,plain,
! [SV39: $i,SV23: $i] :
( ( ( SV23 != SV39 )
= $true )
| ( ( greater_or_equal @ SV23 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(174,plain,
! [SV46: $i,SV40: $i,SV24: $i] :
( ( ~ ( environment @ SV24 )
| ( SV40
!= ( critical_point @ SV24 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
| ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(175,plain,
! [SV41: $i,SV25: $i] :
( ( ( ~ ( environment @ SV25 ) )
= $true )
| ( ( ( SV41
!= ( critical_point @ SV25 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(176,plain,
! [SV47: $i,SV42: $i,SV26: $i,SV1: $i] :
( ( ~ ( environment @ SV1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
| ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(177,plain,
! [SV27: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV27 )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV27 ) @ ( founding_rate @ efficient_producers @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(178,plain,
! [SV48: $i,SV43: $i,SV28: $i,SV3: $i] :
( ( ~ ( environment @ SV3 )
| ~ ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 )
| ~ ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) )
| ( selection_favors @ SV43 @ SV28 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(179,plain,
! [SV29: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV29 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV29 ) @ ( disbanding_rate @ efficient_producers @ SV29 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(180,plain,
! [SV5: $i] :
( ( ( ~ ( in_environment @ SV5 @ ( critical_point @ SV5 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ ( critical_point @ SV5 ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(181,plain,
! [SV6: $i] :
( ( ( ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(182,plain,
! [SV7: $i] :
( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV7 ) @ ( disbanding_rate @ efficient_producers @ SV7 ) ) )
= $true )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV7 ) @ ( founding_rate @ efficient_producers @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(183,plain,
! [SV44: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( ~ ( in_environment @ SV8 @ SV30 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
| ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(184,plain,
! [SV49: $i,SV45: $i,SV31: $i,SV13: $i] :
( ( ~ ( environment @ SV13 )
| ~ ( in_environment @ SV13 @ SV31 )
| ~ ( in_environment @ SV13 @ SV45 )
| ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV32: $i,SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ~ ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
| ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
| ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(186,plain,
! [SV33: $i,SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ~ ( in_environment @ SV17 @ SV33 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(187,plain,
! [SV34: $i,SV18: $i] :
( ( ( environment @ SV18 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV34 )
| ( subpopulations @ efficient_producers @ first_movers @ SV18 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(188,plain,
! [SV35: $i,SV19: $i] :
( ( ( environment @ SV19 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV35 )
| ( greater_or_equal @ SV35 @ ( appear @ efficient_producers @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(189,plain,
! [SV36: $i,SV20: $i] :
( ( ( greater_or_equal @ SV20 @ SV36 )
= $false )
| ( ( ( greater @ SV20 @ SV36 )
| ( SV20 = SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(190,plain,
! [SV37: $i,SV21: $i] :
( ( ( greater @ SV21 @ SV37 )
= $false )
| ( ( greater_or_equal @ SV21 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(191,plain,
! [SV38: $i,SV22: $i] :
( ( ( environment @ SV22 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SV38 )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(192,plain,
! [SV39: $i,SV23: $i] :
( ( ( SV23 = SV39 )
= $false )
| ( ( greater_or_equal @ SV23 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(193,plain,
! [SV46: $i,SV40: $i,SV24: $i] :
( ( ( ~ ( environment @ SV24 ) )
= $true )
| ( ( ( SV40
!= ( critical_point @ SV24 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
| ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(194,plain,
! [SV41: $i,SV25: $i] :
( ( ( environment @ SV25 )
= $false )
| ( ( ( SV41
!= ( critical_point @ SV25 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(195,plain,
! [SV47: $i,SV42: $i,SV26: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
| ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(196,plain,
! [SV27: $i,SV2: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV27 ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV27 ) @ ( founding_rate @ efficient_producers @ SV27 ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(197,plain,
! [SV48: $i,SV43: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ~ ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 )
| ~ ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) )
| ( selection_favors @ SV43 @ SV28 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(198,plain,
! [SV29: $i,SV4: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV29 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV29 ) @ ( disbanding_rate @ efficient_producers @ SV29 ) ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(199,plain,
! [SV5: $i] :
( ( ( in_environment @ SV5 @ ( critical_point @ SV5 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ ( critical_point @ SV5 ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(200,plain,
! [SV6: $i] :
( ( ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(201,plain,
! [SV44: $i,SV30: $i,SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( ~ ( in_environment @ SV8 @ SV30 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
| ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(202,plain,
! [SV49: $i,SV45: $i,SV31: $i,SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ~ ( in_environment @ SV13 @ SV31 )
| ~ ( in_environment @ SV13 @ SV45 )
| ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( in_environment @ SV16 @ ( critical_point @ SV16 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
| ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(204,plain,
! [SV33: $i,SV17: $i] :
( ( ( ~ ( in_environment @ SV17 @ SV33 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV34: $i,SV18: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV34 ) )
= $true )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV18 @ SV34 )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV35: $i,SV19: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV35 ) )
= $true )
| ( ( greater_or_equal @ SV35 @ ( appear @ efficient_producers @ SV19 ) )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV36: $i,SV20: $i] :
( ( ( greater @ SV20 @ SV36 )
= $true )
| ( ( SV20 = SV36 )
= $true )
| ( ( greater_or_equal @ SV20 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV38: $i,SV22: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SV38 ) )
= $true )
| ( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) @ zero ) )
= $true )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(209,plain,
! [SV46: $i,SV40: $i,SV24: $i] :
( ( ( environment @ SV24 )
= $false )
| ( ( ( SV40
!= ( critical_point @ SV24 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
| ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(210,plain,
! [SV25: $i,SV41: $i] :
( ( ( SV41
!= ( critical_point @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) ) )
= $true )
| ( ( environment @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(211,plain,
! [SV47: $i,SV42: $i,SV26: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
| ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(212,plain,
! [SV27: $i,SV2: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV27 )
= $false )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV27 ) @ ( founding_rate @ efficient_producers @ SV27 ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(213,plain,
! [SV48: $i,SV43: $i,SV28: $i,SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ~ ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 )
| ~ ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) )
| ( selection_favors @ SV43 @ SV28 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(214,plain,
! [SV29: $i,SV4: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV29 )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV29 ) @ ( disbanding_rate @ efficient_producers @ SV29 ) ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(215,plain,
! [SV44: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( in_environment @ SV8 @ SV30 ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
| ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(216,plain,
! [SV49: $i,SV45: $i,SV31: $i,SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ~ ( in_environment @ SV13 @ SV31 )
| ~ ( in_environment @ SV13 @ SV45 )
| ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(217,plain,
! [SV32: $i,SV16: $i] :
( ( ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
| ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(218,plain,
! [SV33: $i,SV17: $i] :
( ( ( in_environment @ SV17 @ SV33 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(219,plain,
! [SV34: $i,SV18: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV34 )
= $false )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV18 @ SV34 )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(220,plain,
! [SV35: $i,SV19: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV35 )
= $false )
| ( ( greater_or_equal @ SV35 @ ( appear @ efficient_producers @ SV19 ) )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(221,plain,
! [SV38: $i,SV22: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SV38 )
= $false )
| ( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) @ zero ) )
= $true )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV46: $i,SV24: $i,SV40: $i] :
( ( ( SV40
!= ( critical_point @ SV24 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
| ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV25: $i,SV41: $i] :
( ( ( SV41
= ( critical_point @ SV25 ) )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) ) )
= $true )
| ( ( environment @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV47: $i,SV42: $i,SV26: $i,SV1: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
| ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV48: $i,SV3: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) )
| ( selection_favors @ SV43 @ SV28 @ SV48 ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(226,plain,
! [SV4: $i,SV29: $i] :
( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV29 ) @ ( disbanding_rate @ efficient_producers @ SV29 ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV29 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(227,plain,
! [SV44: $i,SV30: $i,SV8: $i] :
( ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
| ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(228,plain,
! [SV49: $i,SV45: $i,SV31: $i,SV13: $i] :
( ( ( ~ ( in_environment @ SV13 @ SV31 ) )
= $true )
| ( ( ~ ( in_environment @ SV13 @ SV45 )
| ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(229,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true )
| ( ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(230,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true )
| ( ( in_environment @ SV17 @ SV33 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(231,plain,
! [SV22: $i,SV38: $i] :
( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV38 ) @ ( growth_rate @ efficient_producers @ SV38 ) ) @ zero )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV22 @ SV38 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(232,plain,
! [SV46: $i,SV24: $i,SV40: $i] :
( ( ( SV40
= ( critical_point @ SV24 ) )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
| ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(233,plain,
! [SV25: $i,SV41: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $false )
| ( ( SV41
= ( critical_point @ SV25 ) )
= $false )
| ( ( environment @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(234,plain,
! [SV47: $i,SV42: $i,SV26: $i,SV1: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
| ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(235,plain,
! [SV48: $i,SV3: $i,SV43: $i,SV28: $i] :
( ( ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) )
| ( selection_favors @ SV43 @ SV28 @ SV48 ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(236,plain,
! [SV8: $i,SV44: $i,SV30: $i] :
( ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(237,plain,
! [SV49: $i,SV45: $i,SV31: $i,SV13: $i] :
( ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( ~ ( in_environment @ SV13 @ SV45 )
| ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(238,plain,
! [SV16: $i,SV32: $i] :
( ( ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
= $false )
| ( ( ~ ( greater @ ( critical_point @ SV16 ) @ SV32 )
| ( in_environment @ SV16 @ SV32 ) )
= $true )
| ( ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV17: $i,SV33: $i] :
( ( ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 ) )
= $true )
| ( ( in_environment @ SV17 @ SV33 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(240,plain,
! [SV40: $i,SV46: $i,SV24: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 ) )
= $true )
| ( ( ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( SV40
= ( critical_point @ SV24 ) )
= $false )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV26: $i,SV47: $i,SV42: $i,SV1: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(242,plain,
! [SV3: $i,SV28: $i,SV48: $i,SV43: $i] :
( ( ( ~ ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) ) )
= $true )
| ( ( selection_favors @ SV43 @ SV28 @ SV48 )
= $true )
| ( ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(243,plain,
! [SV8: $i,SV44: $i,SV30: $i] :
( ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
| ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(244,plain,
! [SV31: $i,SV49: $i,SV45: $i,SV13: $i] :
( ( ( ~ ( in_environment @ SV13 @ SV45 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true )
| ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(245,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( greater @ ( critical_point @ SV16 ) @ SV32 ) )
= $true )
| ( ( in_environment @ SV16 @ SV32 )
= $true )
| ( ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
= $false )
| ( ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(246,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
= $false )
| ( ( in_environment @ SV17 @ SV33 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(247,plain,
! [SV40: $i,SV46: $i,SV24: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
= $false )
| ( ( ~ ( greater @ SV46 @ SV40 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( SV40
= ( critical_point @ SV24 ) )
= $false )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(248,plain,
! [SV26: $i,SV47: $i,SV42: $i,SV1: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
= $false )
| ( ( ~ ( greater_or_equal @ SV47 @ SV26 )
| ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(249,plain,
! [SV3: $i,SV28: $i,SV48: $i,SV43: $i] :
( ( ( greater @ ( growth_rate @ SV43 @ SV48 ) @ ( growth_rate @ SV28 @ SV48 ) )
= $false )
| ( ( selection_favors @ SV43 @ SV28 @ SV48 )
= $true )
| ( ( subpopulations @ SV28 @ SV43 @ SV3 @ SV48 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(250,plain,
! [SV30: $i,SV8: $i,SV44: $i] :
( ( ( ~ ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) ) )
= $true )
| ( ( ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(251,plain,
! [SV31: $i,SV49: $i,SV45: $i,SV13: $i] :
( ( ( in_environment @ SV13 @ SV45 )
= $false )
| ( ( ~ ( greater_or_equal @ SV45 @ SV49 )
| ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true )
| ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(252,plain,
! [SV32: $i,SV16: $i] :
( ( ( greater @ ( critical_point @ SV16 ) @ SV32 )
= $false )
| ( ( in_environment @ SV16 @ SV32 )
= $true )
| ( ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV16 ) )
= $false )
| ( ( in_environment @ SV16 @ ( critical_point @ SV16 ) )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(253,plain,
! [SV17: $i,SV33: $i] :
( ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV33 ) @ zero )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV33 )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV33 ) @ zero )
= $false )
| ( ( in_environment @ SV17 @ SV33 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(254,plain,
! [SV24: $i,SV40: $i,SV46: $i] :
( ( ( ~ ( greater @ SV46 @ SV40 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
= $false )
| ( ( SV40
= ( critical_point @ SV24 ) )
= $false )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(255,plain,
! [SV1: $i,SV42: $i,SV26: $i,SV47: $i] :
( ( ( ~ ( greater_or_equal @ SV47 @ SV26 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(256,plain,
! [SV30: $i,SV8: $i,SV44: $i] :
( ( ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
= $false )
| ( ( ~ ( greater @ SV30 @ SV44 )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(257,plain,
! [SV13: $i,SV31: $i,SV49: $i,SV45: $i] :
( ( ( ~ ( greater_or_equal @ SV45 @ SV49 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true )
| ( ( in_environment @ SV13 @ SV45 )
= $false )
| ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(258,plain,
! [SV24: $i,SV40: $i,SV46: $i] :
( ( ( greater @ SV46 @ SV40 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV46 )
= $false )
| ( ( SV40
= ( critical_point @ SV24 ) )
= $false )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(259,plain,
! [SV1: $i,SV42: $i,SV26: $i,SV47: $i] :
( ( ( greater_or_equal @ SV47 @ SV26 )
= $false )
| ( ( ~ ( greater_or_equal @ SV42 @ SV47 )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(260,plain,
! [SV8: $i,SV44: $i,SV30: $i] :
( ( ( ~ ( greater @ SV30 @ SV44 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(261,plain,
! [SV13: $i,SV31: $i,SV49: $i,SV45: $i] :
( ( ( greater_or_equal @ SV45 @ SV49 )
= $false )
| ( ( ~ ( greater_or_equal @ SV49 @ SV31 )
| ( in_environment @ SV13 @ SV49 ) )
= $true )
| ( ( in_environment @ SV13 @ SV45 )
= $false )
| ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(262,plain,
! [SV26: $i,SV1: $i,SV47: $i,SV42: $i] :
( ( ( ~ ( greater_or_equal @ SV42 @ SV47 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 )
= $true )
| ( ( greater_or_equal @ SV47 @ SV26 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(263,plain,
! [SV8: $i,SV44: $i,SV30: $i] :
( ( ( greater @ SV30 @ SV44 )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero ) )
= $true )
| ( ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(264,plain,
! [SV45: $i,SV13: $i,SV31: $i,SV49: $i] :
( ( ( ~ ( greater_or_equal @ SV49 @ SV31 ) )
= $true )
| ( ( in_environment @ SV13 @ SV49 )
= $true )
| ( ( greater_or_equal @ SV45 @ SV49 )
= $false )
| ( ( in_environment @ SV13 @ SV45 )
= $false )
| ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(265,plain,
! [SV26: $i,SV1: $i,SV47: $i,SV42: $i] :
( ( ( greater_or_equal @ SV42 @ SV47 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV47 )
= $true )
| ( ( greater_or_equal @ SV47 @ SV26 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV42 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ SV26 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(266,plain,
! [SV8: $i,SV30: $i,SV44: $i] :
( ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) ) )
= $true )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero )
= $true )
| ( ( greater @ SV30 @ SV44 )
= $false )
| ( ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(267,plain,
! [SV45: $i,SV13: $i,SV31: $i,SV49: $i] :
( ( ( greater_or_equal @ SV49 @ SV31 )
= $false )
| ( ( in_environment @ SV13 @ SV49 )
= $true )
| ( ( greater_or_equal @ SV45 @ SV49 )
= $false )
| ( ( in_environment @ SV13 @ SV45 )
= $false )
| ( ( in_environment @ SV13 @ SV31 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(268,plain,
! [SV8: $i,SV30: $i,SV44: $i] :
( ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) )
= $false )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV44 ) @ ( growth_rate @ efficient_producers @ SV44 ) ) @ zero )
= $true )
| ( ( greater @ SV30 @ SV44 )
= $false )
| ( ( greater_or_equal @ SV44 @ ( appear @ efficient_producers @ SV8 ) )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV30 ) @ ( growth_rate @ efficient_producers @ SV30 ) ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV30 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(269,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[65,268,267,265,258,253,252,249,233,231,226,220,219,212,207,200,199,192,190,182,165,164,162,161,160,159,122,99,68,67,66]) ).
thf(270,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n002.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 12:45:27 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 232.29/38.94
% 232.29/38.94 No.of.Axioms: 30
% 232.29/38.94
% 232.29/38.94 Length.of.Defs: 0
% 232.29/38.94
% 232.29/38.94 Contains.Choice.Funs: false
% 232.29/38.94 ......
% 232.29/38.94
% 232.29/38.94 ********************************
% 232.29/38.94 * All subproblems solved! *
% 232.29/38.94 ********************************
% 232.29/38.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:269,loop_count:0,foatp_calls:1,translation:fof_full)
% 232.29/38.94
% 232.29/38.94 %**** Beginning of derivation protocol ****
% 232.29/38.94 % SZS output start CNFRefutation
% See solution above
% 232.29/38.94
% 232.29/38.94 %**** End of derivation protocol ****
% 232.29/38.94 %**** no. of clauses in derivation: 270 ****
% 232.29/38.94 %**** clause counter: 269 ****
% 232.29/38.94
% 232.29/38.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:269,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------