%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 : Theorem 110.23s 18.81s
% Output : CNFRefutation 110.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 341 ( 133 unt; 0 typ; 0 def)
% Number of atoms : 2947 ( 809 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 7291 (1316 ~; 898 |; 111 &;4895 @)
% ( 9 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 764 ( 0 ^; 764 !; 0 ?; 764 :)
% 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_sK1_E,type,
sK1_E: $i ).
thf(tp_sK2_SY43,type,
sK2_SY43: $i ).
thf(tp_selection_favors,type,
selection_favors: $i > $i > $i > $o ).
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,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) )
=> ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
thf(3,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).
thf(4,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( subpopulations @ efficient_producers @ first_movers @ E @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
thf(5,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).
thf(6,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( in_environment @ E @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points) ).
thf(7,axiom,
! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( appear @ first_movers @ E ) @ ( start_time @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_FM_before_opening) ).
thf(8,axiom,
! [E: $i] :
( ( environment @ E )
=> ( in_environment @ E @ ( start_time @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_opening_time_in_duration) ).
thf(9,axiom,
! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T1 )
& ( in_environment @ E @ T2 )
& ( greater_or_equal @ T2 @ T )
& ( greater_or_equal @ T @ T1 ) )
=> ( in_environment @ E @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).
thf(10,axiom,
! [T: $i] :
( ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero )
<=> ( greater @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).
thf(11,axiom,
! [T: $i] :
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
<=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).
thf(12,axiom,
! [E: $i,T: $i,To: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ To )
& ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ To ) @ ( growth_rate @ efficient_producers @ To ) ) @ zero )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ To @ T ) )
=> ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
=> ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function) ).
thf(13,axiom,
! [T: $i] :
( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) )
& ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
=> ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).
thf(14,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( appear @ efficient_producers @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( appear @ efficient_producers @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).
thf(15,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( critical_point @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).
thf(16,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
thf(17,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( growth_rate @ S2 @ T ) @ ( growth_rate @ S1 @ T ) ) )
=> ( selection_favors @ S2 @ S1 @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
thf(18,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12) ).
thf(19,axiom,
! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T1 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T2 )
& ( greater_or_equal @ T @ T1 )
& ( greater_or_equal @ T2 @ T ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10) ).
thf(20,axiom,
! [E: $i,Tc: $i] :
( ( ( environment @ E )
& ( Tc
= ( critical_point @ E ) ) )
=> ( ~ ( greater @ ( growth_rate @ efficient_producers @ Tc ) @ ( growth_rate @ first_movers @ Tc ) )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ Tc ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
thf(21,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( selection_favors @ first_movers @ efficient_producers @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3) ).
thf(22,negated_conjecture,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( selection_favors @ first_movers @ efficient_producers @ T ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[21]) ).
thf(23,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( selection_favors @ first_movers @ efficient_producers @ T ) ) )
= $false ),
inference(unfold_def,[status(thm)],[22]) ).
thf(24,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) )
=> ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(26,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(27,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( subpopulations @ efficient_producers @ first_movers @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(28,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(29,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(30,plain,
( ( ! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( appear @ first_movers @ E ) @ ( start_time @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(31,plain,
( ( ! [E: $i] :
( ( environment @ E )
=> ( in_environment @ E @ ( start_time @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(32,plain,
( ( ! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T1 )
& ( in_environment @ E @ T2 )
& ( greater_or_equal @ T2 @ T )
& ( greater_or_equal @ T @ T1 ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(33,plain,
( ( ! [T: $i] :
( ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero )
<=> ( greater @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(34,plain,
( ( ! [T: $i] :
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
<=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ! [E: $i,T: $i,To: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ To )
& ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ To ) @ ( growth_rate @ efficient_producers @ To ) ) @ zero )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ To @ T ) )
=> ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
=> ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,plain,
( ( ! [T: $i] :
( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) )
& ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
=> ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(37,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( appear @ efficient_producers @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( appear @ efficient_producers @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(38,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( critical_point @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(39,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(40,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( growth_rate @ S2 @ T ) @ ( growth_rate @ S1 @ T ) ) )
=> ( selection_favors @ S2 @ S1 @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(41,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(42,plain,
( ( ! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T1 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T2 )
& ( greater_or_equal @ T @ T1 )
& ( greater_or_equal @ T2 @ T ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(43,plain,
( ( ! [E: $i,Tc: $i] :
( ( ( environment @ E )
& ( Tc
= ( critical_point @ E ) ) )
=> ( ~ ( greater @ ( growth_rate @ efficient_producers @ Tc ) @ ( growth_rate @ first_movers @ Tc ) )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ Tc ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(44,plain,
( ( ! [SY43: $i] :
( ( ( environment @ sK1_E )
& ( in_environment @ sK1_E @ ( critical_point @ sK1_E ) )
& ( greater_or_equal @ SY43 @ ( appear @ efficient_producers @ sK1_E ) )
& ( greater @ ( critical_point @ sK1_E ) @ SY43 ) )
=> ( selection_favors @ first_movers @ efficient_producers @ SY43 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(45,plain,
( ( ( ( environment @ sK1_E )
& ( in_environment @ sK1_E @ ( critical_point @ sK1_E ) )
& ( greater_or_equal @ sK2_SY43 @ ( appear @ efficient_producers @ sK1_E ) )
& ( greater @ ( critical_point @ sK1_E ) @ sK2_SY43 ) )
=> ( selection_favors @ first_movers @ efficient_producers @ sK2_SY43 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(46,plain,
( ( environment @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[45]) ).
thf(47,plain,
( ( in_environment @ sK1_E @ ( critical_point @ sK1_E ) )
= $true ),
inference(standard_cnf,[status(thm)],[45]) ).
thf(48,plain,
( ( greater_or_equal @ sK2_SY43 @ ( appear @ efficient_producers @ sK1_E ) )
= $true ),
inference(standard_cnf,[status(thm)],[45]) ).
thf(49,plain,
( ( greater @ ( critical_point @ sK1_E ) @ sK2_SY43 )
= $true ),
inference(standard_cnf,[status(thm)],[45]) ).
thf(50,plain,
( ( selection_favors @ first_movers @ efficient_producers @ sK2_SY43 )
= $false ),
inference(standard_cnf,[status(thm)],[45]) ).
thf(51,plain,
( ( ~ ( selection_favors @ first_movers @ efficient_producers @ sK2_SY43 ) )
= $true ),
inference(polarity_switch,[status(thm)],[50]) ).
thf(52,plain,
( ( ! [E: $i,Tc: $i] :
( ( ( environment @ E )
& ( Tc
= ( critical_point @ E ) ) )
=> ( ~ ( greater @ ( growth_rate @ efficient_producers @ Tc ) @ ( growth_rate @ first_movers @ Tc ) )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ Tc ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(53,plain,
( ( ! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T1 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T2 )
& ( greater_or_equal @ T @ T1 )
& ( greater_or_equal @ T2 @ T ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(54,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(55,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( growth_rate @ S2 @ T ) @ ( growth_rate @ S1 @ T ) ) )
=> ( selection_favors @ S2 @ S1 @ T ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(56,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(57,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( critical_point @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(58,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( appear @ efficient_producers @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( appear @ efficient_producers @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(59,plain,
( ( ! [T: $i] :
( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) )
& ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
=> ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(60,plain,
( ( ! [E: $i,T: $i,To: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ To )
& ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ To ) @ ( growth_rate @ efficient_producers @ To ) ) @ zero )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ To @ T ) )
=> ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
=> ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(61,plain,
( ( ! [T: $i] :
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
<=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(62,plain,
( ( ! [T: $i] :
( ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero )
<=> ( greater @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(63,plain,
( ( ! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T1 )
& ( in_environment @ E @ T2 )
& ( greater_or_equal @ T2 @ T )
& ( greater_or_equal @ T @ T1 ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(64,plain,
( ( ! [E: $i] :
( ( environment @ E )
=> ( in_environment @ E @ ( start_time @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(65,plain,
( ( ! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( appear @ first_movers @ E ) @ ( start_time @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(66,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(67,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(68,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( subpopulations @ efficient_producers @ first_movers @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(69,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(71,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) )
=> ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(72,plain,
( ( greater @ ( critical_point @ sK1_E ) @ sK2_SY43 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(73,plain,
( ( greater_or_equal @ sK2_SY43 @ ( appear @ efficient_producers @ sK1_E ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(74,plain,
( ( in_environment @ sK1_E @ ( critical_point @ sK1_E ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(75,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(76,plain,
( ( ~ ( selection_favors @ first_movers @ efficient_producers @ sK2_SY43 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ ( critical_point @ SX0 ) ) )
| ~ ( greater_or_equal @ SX1 @ ( appear @ efficient_producers @ SX0 ) ) )
| ~ ( greater @ ( critical_point @ SX0 ) @ SX1 ) )
| ( in_environment @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(78,plain,
( ( ! [SX0: $i] :
( ~ ( environment @ SX0 )
| ( in_environment @ SX0 @ ( start_time @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(79,plain,
( ( ! [SX0: $i] :
( ~ ( environment @ SX0 )
| ( greater_or_equal @ ( appear @ first_movers @ SX0 ) @ ( start_time @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX2 ) )
| ~ ( greater_or_equal @ SX3 @ SX1 ) )
| ~ ( greater_or_equal @ SX2 @ SX3 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) )
| ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SX1 ) @ ( growth_rate @ efficient_producers @ SX1 ) ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SX1 ) @ ( growth_rate @ efficient_producers @ SX1 ) ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(82,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ ( appear @ efficient_producers @ SX0 ) ) )
| ( subpopulations @ first_movers @ efficient_producers @ SX0 @ ( appear @ efficient_producers @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(83,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ SX0 ) @ ( growth_rate @ first_movers @ SX0 ) ) )
| ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ SX0 ) @ ( growth_rate @ first_movers @ SX0 ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(84,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SX0 ) @ ( founding_rate @ efficient_producers @ SX0 ) ) )
| ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SX0 ) @ ( disbanding_rate @ efficient_producers @ SX0 ) ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(85,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX2 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SX2 ) @ ( growth_rate @ efficient_producers @ SX2 ) ) @ zero ) )
| ~ ( greater_or_equal @ SX1 @ ( appear @ efficient_producers @ SX0 ) ) )
| ~ ( greater @ SX2 @ SX1 ) )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SX1 ) @ ( growth_rate @ efficient_producers @ SX1 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SX1 ) @ ( growth_rate @ efficient_producers @ SX1 ) ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(86,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 ) )
| ~ ( greater @ ( growth_rate @ SX2 @ SX3 ) @ ( growth_rate @ SX1 @ SX3 ) ) )
| ( selection_favors @ SX2 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(87,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SX1 ) @ zero ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SX1 ) @ zero ) )
| ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(88,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 ) )
| ~ ( in_environment @ SX0 @ SX2 ) )
| ~ ( greater_or_equal @ SX2 @ SX3 ) )
| ~ ( greater_or_equal @ SX3 @ SX1 ) )
| ( in_environment @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(89,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) )
| ( subpopulations @ efficient_producers @ first_movers @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(90,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ ( critical_point @ SX0 ) ) )
| ( subpopulations @ first_movers @ efficient_producers @ SX0 @ ( critical_point @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(91,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( greater @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( greater @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(92,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SX1 ) @ ( founding_rate @ efficient_producers @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(93,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) )
| ( greater_or_equal @ SX1 @ ( appear @ efficient_producers @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(94,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 ) )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SX1 ) @ ( disbanding_rate @ efficient_producers @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(95,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SX0 ) @ ( growth_rate @ efficient_producers @ SX0 ) ) @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( environment @ SX0 )
| ( SX1
!= ( critical_point @ SX0 ) ) )
| ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SX1 ) @ ( growth_rate @ first_movers @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( 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)],[52]) ).
thf(97,plain,
( ( selection_favors @ first_movers @ efficient_producers @ sK2_SY43 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV1: $i] :
( ( ! [SY44: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SY44 @ ( appear @ efficient_producers @ SV1 ) ) )
| ~ ( greater @ ( critical_point @ SV1 ) @ SY44 ) )
| ( in_environment @ SV1 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV2: $i] :
( ( ~ ( environment @ SV2 )
| ( in_environment @ SV2 @ ( start_time @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV3: $i] :
( ( ~ ( environment @ SV3 )
| ( greater_or_equal @ ( appear @ first_movers @ SV3 ) @ ( start_time @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV4: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY45 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY46 ) )
| ~ ( greater_or_equal @ SY47 @ SY45 ) )
| ~ ( greater_or_equal @ SY46 @ SY47 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV5: $i] :
( ( ! [SY48: $i] :
( ~ ~ ( ~ ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY48 ) )
| ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SY48 ) @ ( growth_rate @ efficient_producers @ SY48 ) ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SY48 ) @ ( growth_rate @ efficient_producers @ SY48 ) ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,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)],[82]) ).
thf(104,plain,
! [SV7: $i] :
( ( ~ ( ~ ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) ) )
| ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(105,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
| ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(106,plain,
! [SV9: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SY50 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SY50 ) @ ( growth_rate @ efficient_producers @ SY50 ) ) @ zero ) )
| ~ ( greater_or_equal @ SY49 @ ( appear @ efficient_producers @ SV9 ) ) )
| ~ ( greater @ SY50 @ SY49 ) )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SY49 ) @ ( growth_rate @ efficient_producers @ SY49 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SY49 ) @ ( growth_rate @ efficient_producers @ SY49 ) ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(107,plain,
! [SV10: $i] :
( ( ! [SY51: $i,SY52: $i,SY53: $i] :
( ~ ~ ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SY51 @ SY52 @ SV10 @ SY53 ) )
| ~ ( greater @ ( growth_rate @ SY52 @ SY53 ) @ ( growth_rate @ SY51 @ SY53 ) ) )
| ( selection_favors @ SY52 @ SY51 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(108,plain,
! [SV11: $i] :
( ( ! [SY54: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SY54 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SY54 ) @ zero ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY54 ) @ zero ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(109,plain,
! [SV12: $i] :
( ( ! [SY55: $i,SY56: $i,SY57: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SY55 ) )
| ~ ( in_environment @ SV12 @ SY56 ) )
| ~ ( greater_or_equal @ SY56 @ SY57 ) )
| ~ ( greater_or_equal @ SY57 @ SY55 ) )
| ( in_environment @ SV12 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(110,plain,
! [SV13: $i] :
( ( ! [SY58: $i] :
( ~ ~ ( ~ ( environment @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY58 ) )
| ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(111,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ( environment @ SV14 )
| ~ ( in_environment @ SV14 @ ( critical_point @ SV14 ) ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(112,plain,
! [SV15: $i] :
( ( ! [SY59: $i] :
~ ( ~ ( ~ ( greater_or_equal @ SV15 @ SY59 )
| ( greater @ SV15 @ SY59 )
| ( SV15 = SY59 ) )
| ~ ( ~ ( ( greater @ SV15 @ SY59 )
| ( SV15 = SY59 ) )
| ( greater_or_equal @ SV15 @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(113,plain,
! [SV16: $i] :
( ( ! [SY60: $i] :
( ~ ~ ( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY60 ) )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SY60 ) @ ( founding_rate @ efficient_producers @ SY60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(114,plain,
! [SV17: $i] :
( ( ! [SY61: $i] :
( ~ ~ ( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SY61 ) )
| ( greater_or_equal @ SY61 @ ( appear @ efficient_producers @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(115,plain,
! [SV18: $i] :
( ( ! [SY62: $i] :
( ~ ~ ( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SY62 ) )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SY62 ) @ ( disbanding_rate @ efficient_producers @ SY62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(116,plain,
! [SV19: $i] :
( ( ~ ( ~ ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(117,plain,
! [SV20: $i] :
( ( ! [SY63: $i] :
( ~ ~ ( ~ ( environment @ SV20 )
| ( SY63
!= ( critical_point @ SV20 ) ) )
| ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SY63 ) @ ( growth_rate @ first_movers @ SY63 ) )
| ~ ! [SY64: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY64 )
| ~ ( greater @ SY64 @ SY63 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(118,plain,
! [SV21: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
| ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
| ( in_environment @ SV1 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(119,plain,
! [SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( in_environment @ SV2 @ ( start_time @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(120,plain,
! [SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( greater_or_equal @ ( appear @ first_movers @ SV3 ) @ ( start_time @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(121,plain,
! [SV22: $i,SV4: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY65 ) )
| ~ ( greater_or_equal @ SY66 @ SV22 ) )
| ~ ( greater_or_equal @ SY65 @ SY66 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(122,plain,
! [SV23: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
| ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(123,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV6 )
| ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(124,plain,
! [SV7: $i] :
( ( ~ ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) ) )
| ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(125,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
| ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) ) )
= $true )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV24: $i,SV9: $i] :
( ( ! [SY67: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SY67 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SY67 ) @ ( growth_rate @ efficient_producers @ SY67 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
| ~ ( greater @ SY67 @ SV24 ) )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(127,plain,
! [SV25: $i,SV10: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ~ ~ ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SY68 @ SV10 @ SY69 ) )
| ~ ( greater @ ( growth_rate @ SY68 @ SY69 ) @ ( growth_rate @ SV25 @ SY69 ) ) )
| ( selection_favors @ SY68 @ SV25 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV26: $i,SV11: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(129,plain,
! [SV27: $i,SV12: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SY70 ) )
| ~ ( greater_or_equal @ SY70 @ SY71 ) )
| ~ ( greater_or_equal @ SY71 @ SV27 ) )
| ( in_environment @ SV12 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV28: $i,SV13: $i] :
( ( ~ ~ ( ~ ( environment @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 ) )
| ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV14 )
| ~ ( in_environment @ SV14 @ ( critical_point @ SV14 ) ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( ~ ( ~ ( greater_or_equal @ SV15 @ SV29 )
| ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
| ~ ( ~ ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
| ( greater_or_equal @ SV15 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ~ ( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 ) )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ~ ( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 ) )
| ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(135,plain,
! [SV32: $i,SV18: $i] :
( ( ~ ~ ( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 ) )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(136,plain,
! [SV19: $i] :
( ( ~ ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(137,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ~ ( ~ ( environment @ SV20 )
| ( SV33
!= ( critical_point @ SV20 ) ) )
| ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(138,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
| ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(139,plain,
! [SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( in_environment @ SV2 @ ( start_time @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(140,plain,
! [SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( greater_or_equal @ ( appear @ first_movers @ SV3 ) @ ( start_time @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(141,plain,
! [SV34: $i,SV22: $i,SV4: $i] :
( ( ! [SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SY73 @ SV22 ) )
| ~ ( greater_or_equal @ SV34 @ SY73 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(142,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
| ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(143,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( environment @ SV6 )
| ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(144,plain,
! [SV7: $i] :
( ( ~ ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(145,plain,
! [SV7: $i] :
( ( ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(146,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
| ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) ) )
= $false )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
| ~ ( greater @ SV35 @ SV24 ) )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(148,plain,
! [SV36: $i,SV25: $i,SV10: $i] :
( ( ! [SY74: $i] :
( ~ ~ ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SY74 ) )
| ~ ( greater @ ( growth_rate @ SV36 @ SY74 ) @ ( growth_rate @ SV25 @ SY74 ) ) )
| ( selection_favors @ SV36 @ SV25 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(149,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(150,plain,
! [SV37: $i,SV27: $i,SV12: $i] :
( ( ! [SY75: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SY75 ) )
| ~ ( greater_or_equal @ SY75 @ SV27 ) )
| ( in_environment @ SV12 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(151,plain,
! [SV28: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 ) ) )
= $true )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(152,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( environment @ SV14 )
| ~ ( in_environment @ SV14 @ ( critical_point @ SV14 ) ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(153,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( ~ ( greater_or_equal @ SV15 @ SV29 )
| ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
| ~ ( ~ ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
| ( greater_or_equal @ SV15 @ SV29 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(154,plain,
! [SV30: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 ) ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(155,plain,
! [SV31: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 ) ) )
= $true )
| ( ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(156,plain,
! [SV32: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 ) ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(157,plain,
! [SV19: $i] :
( ( ~ ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(158,plain,
! [SV19: $i] :
( ( ~ ( ~ ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(159,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV20 )
| ( SV33
!= ( critical_point @ SV20 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(160,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
| ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) ) )
= $false )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(161,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) )
| ~ ( greater_or_equal @ SV34 @ SV38 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(162,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
| ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) ) )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(163,plain,
! [SV6: $i] :
( ( ( ~ ( environment @ SV6 )
| ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(164,plain,
! [SV7: $i] :
( ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(165,plain,
! [SV7: $i] :
( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(166,plain,
! [SV8: $i] :
( ( ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
| ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) )
= $true )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(167,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
| ~ ( greater @ SV35 @ SV24 ) ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(168,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
| ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
| ( selection_favors @ SV36 @ SV25 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(169,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(170,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) )
| ~ ( greater_or_equal @ SV40 @ SV27 ) )
| ( in_environment @ SV12 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(171,plain,
! [SV28: $i,SV13: $i] :
( ( ( ~ ( ~ ( environment @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 ) ) )
= $false )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(172,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 )
| ~ ( in_environment @ SV14 @ ( critical_point @ SV14 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(173,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( ~ ( greater_or_equal @ SV15 @ SV29 )
| ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(174,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( ~ ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
| ( greater_or_equal @ SV15 @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(175,plain,
! [SV30: $i,SV16: $i] :
( ( ( ~ ( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 ) ) )
= $false )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV31: $i,SV17: $i] :
( ( ( ~ ( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 ) ) )
= $false )
| ( ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV32: $i,SV18: $i] :
( ( ( ~ ( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 ) ) )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV19: $i] :
( ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(179,plain,
! [SV19: $i] :
( ( ~ ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(180,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( ~ ( environment @ SV20 )
| ( SV33
!= ( critical_point @ SV20 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
| ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(182,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) )
| ~ ( greater_or_equal @ SV34 @ SV38 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
| ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(184,plain,
! [SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV7: $i] :
( ( ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV7: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) ) )
= $true )
| ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV8: $i] :
( ( ( ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) ) )
= $true )
| ( ( ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) )
= $true )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
| ~ ( greater @ SV35 @ SV24 ) ) )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(189,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
| ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(190,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(191,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) )
| ~ ( greater_or_equal @ SV40 @ SV27 ) ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(192,plain,
! [SV28: $i,SV13: $i] :
( ( ( ~ ( environment @ SV13 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 ) )
= $true )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(193,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 ) )
= $true )
| ( ( ~ ( in_environment @ SV14 @ ( critical_point @ SV14 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(194,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( greater_or_equal @ SV15 @ SV29 )
| ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(195,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
| ( greater_or_equal @ SV15 @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(196,plain,
! [SV30: $i,SV16: $i] :
( ( ( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(197,plain,
! [SV31: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 ) )
= $true )
| ( ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(198,plain,
! [SV32: $i,SV18: $i] :
( ( ( ~ ( environment @ SV18 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(199,plain,
! [SV19: $i] :
( ( ( ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero ) )
= $true )
| ( ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(200,plain,
! [SV19: $i] :
( ( ( ~ ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) )
= $true )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(201,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( environment @ SV20 )
| ( SV33
!= ( critical_point @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(202,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(203,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) )
| ~ ( greater_or_equal @ SV34 @ SV38 ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(204,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) ) )
= $true )
| ( ( ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(205,plain,
! [SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ~ ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(206,plain,
! [SV7: $i] :
( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(207,plain,
! [SV7: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV7 ) @ ( growth_rate @ first_movers @ SV7 ) )
= $false )
| ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV7 ) @ ( growth_rate @ efficient_producers @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(208,plain,
! [SV8: $i] :
( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
= $false )
| ( ( ~ ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) )
= $true )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(209,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
| ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(210,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
| ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) ) )
= $false )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(211,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(212,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) )
| ~ ( greater_or_equal @ SV40 @ SV27 ) ) )
= $false )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV28: $i,SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 ) )
= $true )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(214,plain,
! [SV14: $i] :
( ( ( environment @ SV14 )
= $false )
| ( ( ~ ( in_environment @ SV14 @ ( critical_point @ SV14 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV29: $i,SV15: $i] :
( ( ( ~ ( greater_or_equal @ SV15 @ SV29 ) )
= $true )
| ( ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV29: $i,SV15: $i] :
( ( ( ~ ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) ) )
= $true )
| ( ( greater_or_equal @ SV15 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV30: $i,SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV31: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 ) )
= $true )
| ( ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(219,plain,
! [SV32: $i,SV18: $i] :
( ( ( ~ ( environment @ SV18 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(220,plain,
! [SV19: $i] :
( ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
= $false )
| ( ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(221,plain,
! [SV19: $i] :
( ( ( greater @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) )
= $false )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV19 ) @ ( growth_rate @ efficient_producers @ SV19 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(222,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( environment @ SV20 ) )
= $true )
| ( ( SV33
!= ( critical_point @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(223,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) ) )
= $false )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(224,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) )
| ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(225,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) ) )
= $false )
| ( ( ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(226,plain,
! [SV6: $i] :
( ( ( in_environment @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $false )
| ( ( environment @ SV6 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( appear @ efficient_producers @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(227,plain,
! [SV8: $i] :
( ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) ) )
= $false )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
= $false )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(228,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(229,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
| ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(230,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) ) )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(231,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) )
| ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(232,plain,
! [SV28: $i,SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 ) )
= $true )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(233,plain,
! [SV14: $i] :
( ( ( in_environment @ SV14 @ ( critical_point @ SV14 ) )
= $false )
| ( ( environment @ SV14 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ ( critical_point @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(234,plain,
! [SV29: $i,SV15: $i] :
( ( ( greater_or_equal @ SV15 @ SV29 )
= $false )
| ( ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV29: $i,SV15: $i] :
( ( ( ( greater @ SV15 @ SV29 )
| ( SV15 = SV29 ) )
= $false )
| ( ( greater_or_equal @ SV15 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(236,plain,
! [SV30: $i,SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(237,plain,
! [SV31: $i,SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 ) )
= $true )
| ( ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(238,plain,
! [SV32: $i,SV18: $i] :
( ( ( environment @ SV18 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(239,plain,
! [SV33: $i,SV20: $i] :
( ( ( environment @ SV20 )
= $false )
| ( ( SV33
!= ( critical_point @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(240,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
| ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(241,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(242,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
= $true )
| ( ( ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(243,plain,
! [SV8: $i] :
( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV8 ) @ ( disbanding_rate @ efficient_producers @ SV8 ) ) )
= $true )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV8 ) @ ( founding_rate @ efficient_producers @ SV8 ) ) )
= $false )
| ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV8 ) @ ( growth_rate @ efficient_producers @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(244,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) ) )
= $false )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(245,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(246,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(247,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(248,plain,
! [SV28: $i,SV13: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV28 )
= $false )
| ( ( environment @ SV13 )
= $false )
| ( ( subpopulations @ efficient_producers @ first_movers @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(249,plain,
! [SV29: $i,SV15: $i] :
( ( ( greater @ SV15 @ SV29 )
= $true )
| ( ( SV15 = SV29 )
= $true )
| ( ( greater_or_equal @ SV15 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(250,plain,
! [SV29: $i,SV15: $i] :
( ( ( greater @ SV15 @ SV29 )
= $false )
| ( ( greater_or_equal @ SV15 @ SV29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(251,plain,
! [SV29: $i,SV15: $i] :
( ( ( SV15 = SV29 )
= $false )
| ( ( greater_or_equal @ SV15 @ SV29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(252,plain,
! [SV30: $i,SV16: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV30 )
= $false )
| ( ( environment @ SV16 )
= $false )
| ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ SV30 ) @ ( founding_rate @ efficient_producers @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(253,plain,
! [SV31: $i,SV17: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV31 )
= $false )
| ( ( environment @ SV17 )
= $false )
| ( ( greater_or_equal @ SV31 @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(254,plain,
! [SV32: $i,SV18: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 )
= $false )
| ( ( environment @ SV18 )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(255,plain,
! [SV20: $i,SV33: $i] :
( ( ( SV33
= ( critical_point @ SV20 ) )
= $false )
| ( ( environment @ SV20 )
= $false )
| ( ( ~ ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(256,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(257,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(258,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
= $true )
| ( ( ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(259,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
| ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(260,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) ) )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(261,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(262,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV18: $i,SV32: $i] :
( ( ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ SV32 ) @ ( disbanding_rate @ efficient_producers @ SV32 ) ) )
= $false )
| ( ( environment @ SV18 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(264,plain,
! [SV20: $i,SV33: $i] :
( ( ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
| ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) )
= $false )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(265,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(266,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
| ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(267,plain,
! [SV23: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 ) )
= $true )
| ( ( ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(268,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(269,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 )
| ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(270,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) ) )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(271,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
| ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(272,plain,
! [SV20: $i,SV33: $i] :
( ( ( ~ ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) ) )
= $false )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(273,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) )
= $false )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(274,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(275,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(276,plain,
! [SV23: $i,SV5: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( ~ ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $true )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(277,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(278,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(279,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(280,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(281,plain,
! [SV20: $i,SV33: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(282,plain,
! [SV33: $i,SV20: $i] :
( ( ( ! [SY72: $i] :
( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY72 )
| ~ ( greater @ SY72 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY72 ) @ ( growth_rate @ first_movers @ SY72 ) ) ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(283,plain,
! [SV21: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(285,plain,
! [SV5: $i,SV23: $i] :
( ( ( ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) ) )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(286,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(287,plain,
! [SV39: $i,SV36: $i,SV25: $i,SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ~ ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(288,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( in_environment @ SV11 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(289,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(290,plain,
! [SV20: $i,SV33: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV33 ) @ ( growth_rate @ first_movers @ SV33 ) )
= $false )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(291,plain,
! [SV33: $i,SV41: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 )
| ~ ( greater @ SV41 @ SV33 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(292,plain,
! [SV21: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( in_environment @ SV1 @ ( critical_point @ SV1 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(294,plain,
! [SV5: $i,SV23: $i] :
( ( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) )
= $true )
| ( ( environment @ SV5 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV23 )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV23 ) @ ( growth_rate @ efficient_producers @ SV23 ) ) @ zero )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(295,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(296,plain,
! [SV39: $i,SV10: $i,SV36: $i,SV25: $i] :
( ( ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) ) )
= $true )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(297,plain,
! [SV26: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( in_environment @ SV11 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(298,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
| ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(299,plain,
! [SV33: $i,SV41: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 )
| ~ ( greater @ SV41 @ SV33 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(300,plain,
! [SV21: $i,SV1: $i] :
( ( ( in_environment @ SV1 @ ( critical_point @ SV1 ) )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( ~ ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(301,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(302,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) ) )
= $false )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV10: $i,SV25: $i,SV39: $i,SV36: $i] :
( ( ( greater @ ( growth_rate @ SV36 @ SV39 ) @ ( growth_rate @ SV25 @ SV39 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( subpopulations @ SV25 @ SV36 @ SV10 @ SV39 )
= $false )
| ( ( selection_favors @ SV36 @ SV25 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(304,plain,
! [SV26: $i,SV11: $i] :
( ( ( in_environment @ SV11 @ SV26 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(305,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) ) )
= $true )
| ( ( ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(306,plain,
! [SV33: $i,SV41: $i,SV20: $i] :
( ( ( ~ ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 )
| ~ ( greater @ SV41 @ SV33 ) ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(307,plain,
! [SV1: $i,SV21: $i] :
( ( ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( in_environment @ SV1 @ ( critical_point @ SV1 ) )
= $false )
| ( ( ~ ( greater @ ( critical_point @ SV1 ) @ SV21 ) )
= $true )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(308,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) ) )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(309,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV35 ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(310,plain,
! [SV11: $i,SV26: $i] :
( ( ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV26 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(311,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) ) )
= $false )
| ( ( ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(312,plain,
! [SV33: $i,SV41: $i,SV20: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 )
| ~ ( greater @ SV41 @ SV33 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(313,plain,
! [SV21: $i,SV1: $i] :
( ( ( greater @ ( critical_point @ SV1 ) @ SV21 )
= $false )
| ( ( in_environment @ SV1 @ ( critical_point @ SV1 ) )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( greater_or_equal @ SV21 @ ( appear @ efficient_producers @ SV1 ) )
= $false )
| ( ( in_environment @ SV1 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(314,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(315,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ~ ( in_environment @ SV9 @ SV35 ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV11: $i,SV26: $i] :
( ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV26 ) @ zero )
= $false )
| ( ( in_environment @ SV11 @ SV26 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV26 ) @ zero )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(317,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV27 ) )
= $true )
| ( ( ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(318,plain,
! [SV33: $i,SV41: $i,SV20: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 ) )
= $true )
| ( ( ~ ( greater @ SV41 @ SV33 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(319,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(320,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ~ ( in_environment @ SV9 @ SV35 ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(321,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ~ ( in_environment @ SV12 @ SV27 ) )
= $true )
| ( ( ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(322,plain,
! [SV33: $i,SV41: $i,SV20: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 )
= $false )
| ( ( ~ ( greater @ SV41 @ SV33 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(323,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(324,plain,
! [SV24: $i,SV35: $i,SV9: $i] :
( ( ( in_environment @ SV9 @ SV35 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(325,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ~ ( in_environment @ SV12 @ SV27 ) )
= $true )
| ( ( ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(326,plain,
! [SV20: $i,SV33: $i,SV41: $i] :
( ( ( greater @ SV41 @ SV33 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV41 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV41 ) @ ( growth_rate @ first_movers @ SV41 ) )
= $true )
| ( ( environment @ SV20 )
= $false )
| ( ( SV33
= ( critical_point @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(327,plain,
! [SV38: $i,SV34: $i,SV22: $i,SV4: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(328,plain,
! [SV24: $i,SV9: $i,SV35: $i] :
( ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( in_environment @ SV9 @ SV35 )
= $false )
| ( ( ~ ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) ) )
= $true )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(329,plain,
! [SV40: $i,SV37: $i,SV27: $i,SV12: $i] :
( ( ( in_environment @ SV12 @ SV27 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( ~ ( in_environment @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(330,plain,
! [SV38: $i,SV22: $i,SV34: $i,SV4: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 )
= $false )
| ( ( ~ ( greater_or_equal @ SV38 @ SV22 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(331,plain,
! [SV35: $i,SV9: $i,SV24: $i] :
( ( ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) )
= $false )
| ( ( in_environment @ SV9 @ SV35 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero )
= $false )
| ( ( ~ ( greater @ SV35 @ SV24 ) )
= $true )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(332,plain,
! [SV40: $i,SV27: $i,SV37: $i,SV12: $i] :
( ( ( in_environment @ SV12 @ SV37 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( in_environment @ SV12 @ SV27 )
= $false )
| ( ( ~ ( greater_or_equal @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(333,plain,
! [SV34: $i,SV4: $i,SV22: $i,SV38: $i] :
( ( ( greater_or_equal @ SV38 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 )
= $false )
| ( ( ~ ( greater_or_equal @ SV34 @ SV38 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(334,plain,
! [SV9: $i,SV24: $i,SV35: $i] :
( ( ( greater @ SV35 @ SV24 )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( in_environment @ SV9 @ SV35 )
= $false )
| ( ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) )
= $false )
| ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(335,plain,
! [SV27: $i,SV12: $i,SV40: $i,SV37: $i] :
( ( ( greater_or_equal @ SV37 @ SV40 )
= $false )
| ( ( in_environment @ SV12 @ SV27 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( in_environment @ SV12 @ SV37 )
= $false )
| ( ( ~ ( greater_or_equal @ SV40 @ SV27 ) )
= $true )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(336,plain,
! [SV22: $i,SV4: $i,SV38: $i,SV34: $i] :
( ( ( greater_or_equal @ SV34 @ SV38 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV34 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV22 )
= $false )
| ( ( greater_or_equal @ SV38 @ SV22 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV4 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(337,plain,
! [SV35: $i,SV9: $i,SV24: $i] :
( ( ( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) ) )
= $true )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero )
= $true )
| ( ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) )
= $false )
| ( ( in_environment @ SV9 @ SV35 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero )
= $false )
| ( ( greater @ SV35 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(338,plain,
! [SV37: $i,SV12: $i,SV27: $i,SV40: $i] :
( ( ( greater_or_equal @ SV40 @ SV27 )
= $false )
| ( ( in_environment @ SV12 @ SV37 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( in_environment @ SV12 @ SV27 )
= $false )
| ( ( greater_or_equal @ SV37 @ SV40 )
= $false )
| ( ( in_environment @ SV12 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(339,plain,
! [SV35: $i,SV9: $i,SV24: $i] :
( ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) )
= $false )
| ( ( greater @ ( difference @ ( growth_rate @ first_movers @ SV24 ) @ ( growth_rate @ efficient_producers @ SV24 ) ) @ zero )
= $true )
| ( ( greater_or_equal @ SV24 @ ( appear @ efficient_producers @ SV9 ) )
= $false )
| ( ( in_environment @ SV9 @ SV35 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ SV35 ) @ ( growth_rate @ efficient_producers @ SV35 ) ) @ zero )
= $false )
| ( ( greater @ SV35 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(340,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[72,339,338,336,326,316,313,303,294,290,263,253,252,251,250,249,248,243,233,226,221,220,207,206,140,139,97,75,74,73]) ).
thf(341,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.19 % Computer : n016.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Oct 6 12:47:44 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 110.23/18.81
% 110.23/18.81 No.of.Axioms: 20
% 110.23/18.81
% 110.23/18.81 Length.of.Defs: 0
% 110.23/18.81
% 110.23/18.81 Contains.Choice.Funs: false
% 110.23/18.81 ...........
% 110.23/18.81
% 110.23/18.81 ********************************
% 110.23/18.81 * All subproblems solved! *
% 110.23/18.81 ********************************
% 110.23/18.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:24,ps:3,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:340,loop_count:0,foatp_calls:1,translation:fof_full)
% 110.23/18.81
% 110.23/18.81 %**** Beginning of derivation protocol ****
% 110.23/18.81 % SZS output start CNFRefutation
% See solution above
% 110.23/18.81
% 110.23/18.81 %**** End of derivation protocol ****
% 110.23/18.81 %**** no. of clauses in derivation: 341 ****
% 110.23/18.81 %**** clause counter: 340 ****
% 110.23/18.81
% 110.23/18.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:24,ps:3,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:340,loop_count:0,foatp_calls:1,translation:fof_full)
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