%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT035-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:34 AM UTC 2026
% Result : Unsatisfiable 9.05s 1.77s
% Output : CNFRefutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 46
% Syntax : Number of formulae : 487 ( 215 unt; 0 typ; 0 def)
% Number of atoms : 3800 (1158 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 6698 ( 916 ~;1489 |; 0 &;4293 @)
% ( 0 <=>; 0 =>; 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 : 27 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 1209 ( 0 ^;1209 !; 0 ?;1209 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cardinality_at_time,type,
cardinality_at_time: $i > $i > $i ).
thf(tp_constant,type,
constant: $i > $o ).
thf(tp_decreases,type,
decreases: $i > $o ).
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_environment,type,
environment: $i > $o ).
thf(tp_equilibrium,type,
equilibrium: $i > $i ).
thf(tp_first_movers,type,
first_movers: $i ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_growth_rate,type,
growth_rate: $i > $i > $i ).
thf(tp_in_environment,type,
in_environment: $i > $i > $o ).
thf(tp_increases,type,
increases: $i > $o ).
thf(tp_number_of_organizations,type,
number_of_organizations: $i > $i > $i ).
thf(tp_outcompetes,type,
outcompetes: $i > $i > $i > $o ).
thf(tp_resources,type,
resources: $i > $i > $i ).
thf(tp_sk1,type,
sk1: $i > $i ).
thf(tp_sk2,type,
sk2: $i > $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_sk4,type,
sk4: $i > $i ).
thf(tp_stable,type,
stable: $i > $o ).
thf(tp_subpopulation,type,
subpopulation: $i > $i > $i > $o ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ~ ( greater @ ( equilibrium @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_equilibrium_63) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_62) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_61) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_60) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_environment_59) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_58) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_57) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1_56) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_of_organizations_55) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_of_organizations_54) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_53) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_52) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_51) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_50) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_49) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_48) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_47) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_46) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_45) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_44) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_43) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_organisational_42) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_organisational_41) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_40) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_39) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_38) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( number_of_organizations @ A @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_not_empty_37) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_in_environment_36) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_75) ).
thf(30,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_74) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_73) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( constant @ ( resources @ A @ B ) )
| ( constant @ ( number_of_organizations @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a7_72) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( decreases @ ( resources @ A @ B ) )
| ~ ( decreases @ ( number_of_organizations @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a7_71) ).
thf(34,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk1 @ A ) @ ( equilibrium @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_70) ).
thf(35,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_69) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( number_of_organizations @ A @ B ) @ zero )
| ( greater @ ( equilibrium @ A ) @ B )
| ( constant @ ( resources @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_68) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( number_of_organizations @ A @ B ) @ zero )
| ~ ( greater @ ( equilibrium @ A ) @ B )
| ( decreases @ ( resources @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_67) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_66) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_65) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_64) ).
thf(41,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(42,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[41]) ).
thf(43,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_80) ).
thf(44,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( greater_or_equal @ ( sk4 @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_79) ).
thf(45,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_78) ).
thf(46,negated_conjecture,
stable @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_77) ).
thf(47,negated_conjecture,
environment @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_76) ).
thf(48,plain,
$false = $false,
inference(unfold_def,[status(thm)],[42]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ~ ( greater @ ( equilibrium @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(60,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(62,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(66,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(73,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(74,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( number_of_organizations @ A @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(78,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( constant @ ( resources @ A @ B ) )
| ( constant @ ( number_of_organizations @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( decreases @ ( resources @ A @ B ) )
| ~ ( decreases @ ( number_of_organizations @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(82,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk1 @ A ) @ ( equilibrium @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(83,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( number_of_organizations @ A @ B ) @ zero )
| ( greater @ ( equilibrium @ A ) @ B )
| ( constant @ ( resources @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( number_of_organizations @ A @ B ) @ zero )
| ~ ( greater @ ( equilibrium @ A ) @ B )
| ( decreases @ ( resources @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(87,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(88,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(89,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(90,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( greater_or_equal @ ( sk4 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(91,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(92,plain,
( ( stable @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(93,plain,
( ( environment @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(94,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[48]) ).
thf(95,plain,
( ( environment @ sk3 )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(96,plain,
( ( stable @ sk3 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(97,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(98,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( greater_or_equal @ ( sk4 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(99,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(100,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(101,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(102,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(103,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( number_of_organizations @ A @ B ) @ zero )
| ~ ( greater @ ( equilibrium @ A ) @ B )
| ( decreases @ ( resources @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( number_of_organizations @ A @ B ) @ zero )
| ( greater @ ( equilibrium @ A ) @ B )
| ( constant @ ( resources @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(105,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(106,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk1 @ A ) @ ( equilibrium @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(107,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( decreases @ ( resources @ A @ B ) )
| ~ ( decreases @ ( number_of_organizations @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( constant @ ( resources @ A @ B ) )
| ( constant @ ( number_of_organizations @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(109,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(110,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(112,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(113,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( number_of_organizations @ A @ B ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(117,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( decreases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(123,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( decreases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(124,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(125,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(130,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(131,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(133,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(134,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(135,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(136,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(138,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ~ ( greater @ ( equilibrium @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(140,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[94]) ).
thf(141,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulation @ SX1 @ SX0 @ SX2 )
| ( SX1 != efficient_producers )
| ( ( number_of_organizations @ SX0 @ SX2 )
= ( sum @ ( cardinality_at_time @ first_movers @ SX2 ) @ ( cardinality_at_time @ efficient_producers @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(142,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX2 )
| ( increases @ SX1 )
| ( decreases @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(143,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(144,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulation @ SX1 @ SX0 @ SX2 )
| ( SX1 != first_movers )
| ( ( number_of_organizations @ SX0 @ SX2 )
= ( sum @ ( cardinality_at_time @ first_movers @ SX2 ) @ ( cardinality_at_time @ efficient_producers @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(145,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(146,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX2 )
| ( decreases @ SX2 )
| ( increases @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(147,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX1 )
| ( increases @ SX1 )
| ( decreases @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(148,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX1 )
| ( increases @ SX1 )
| ( increases @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(149,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX2 )
| ( decreases @ SX2 )
| ( decreases @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(150,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX1 )
| ( decreases @ SX2 )
| ( increases @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(151,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX2 )
| ( increases @ SX1 )
| ( increases @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(152,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( constant @ SX1 )
| ( decreases @ SX2 )
| ( decreases @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(153,plain,
! [SV1: $i] :
( ( ~ ( in_environment @ sk3 @ SV1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(154,plain,
! [SV2: $i] :
( ( ~ ( in_environment @ sk3 @ SV2 )
| ( greater_or_equal @ ( sk4 @ SV2 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(155,plain,
! [SV3: $i] :
( ( ~ ( in_environment @ sk3 @ SV3 )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(156,plain,
! [SV4: $i] :
( ( ! [SY103: $i,SY104: $i,SY105: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SY103 @ SY104 @ SV4 @ SY105 )
| ~ ( greater_or_equal @ ( growth_rate @ SY104 @ SY105 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SY103 @ SY105 ) )
| ( outcompetes @ SY104 @ SY103 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(157,plain,
! [SV5: $i] :
( ( ! [SY106: $i,SY107: $i,SY108: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulations @ SY106 @ SY107 @ SV5 @ SY108 )
| ~ ( outcompetes @ SY107 @ SY106 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(158,plain,
! [SV6: $i] :
( ( ! [SY109: $i,SY110: $i,SY111: $i] :
( ~ ( environment @ SV6 )
| ~ ( subpopulations @ SY109 @ SY110 @ SV6 @ SY111 )
| ~ ( outcompetes @ SY110 @ SY109 @ SY111 )
| ( greater @ zero @ ( growth_rate @ SY109 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(159,plain,
! [SV7: $i] :
( ( ! [SY112: $i] :
( ~ ( environment @ SV7 )
| ~ ( in_environment @ SV7 @ SY112 )
| ~ ( greater @ ( number_of_organizations @ SV7 @ SY112 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV7 ) @ SY112 )
| ( decreases @ ( resources @ SV7 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(160,plain,
! [SV8: $i] :
( ( ! [SY113: $i] :
( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SY113 )
| ~ ( greater @ ( number_of_organizations @ SV8 @ SY113 ) @ zero )
| ( greater @ ( equilibrium @ SV8 ) @ SY113 )
| ( constant @ ( resources @ SV8 @ SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(161,plain,
! [SV9: $i] :
( ( ~ ( environment @ SV9 )
| ~ ( stable @ SV9 )
| ( in_environment @ SV9 @ ( sk1 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(162,plain,
! [SV10: $i] :
( ( ~ ( environment @ SV10 )
| ~ ( stable @ SV10 )
| ( greater_or_equal @ ( sk1 @ SV10 ) @ ( equilibrium @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(163,plain,
! [SV11: $i] :
( ( ! [SY114: $i] :
( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SY114 )
| ~ ( decreases @ ( resources @ SV11 @ SY114 ) )
| ~ ( decreases @ ( number_of_organizations @ SV11 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(164,plain,
! [SV12: $i] :
( ( ! [SY115: $i] :
( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SY115 )
| ~ ( constant @ ( resources @ SV12 @ SY115 ) )
| ( constant @ ( number_of_organizations @ SV12 @ SY115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(165,plain,
! [SV13: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ( environment @ SV13 )
| ~ ( subpopulation @ SY116 @ SV13 @ SY117 )
| ~ ( greater @ ( cardinality_at_time @ SY116 @ SY117 ) @ zero )
| ( SY116 = efficient_producers )
| ( SY116 = first_movers ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(166,plain,
! [SV14: $i] :
( ( ~ ( environment @ SV14 )
| ~ ( stable @ SV14 )
| ( in_environment @ SV14 @ ( sk2 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(167,plain,
! [SV15: $i] :
( ( ! [SY118: $i] :
( ~ ( environment @ SV15 )
| ~ ( stable @ SV15 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SY118 )
| ~ ( greater_or_equal @ SY118 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY118 ) @ ( growth_rate @ first_movers @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(168,plain,
! [SV16: $i] :
( ( ! [SY119: $i] :
( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY119 )
| ( in_environment @ SV16 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(169,plain,
! [SV17: $i] :
( ( ! [SY120: $i] :
( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SY120 )
| ( greater @ ( number_of_organizations @ SV17 @ SY120 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(170,plain,
! [SV18: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ( environment @ SV18 )
| ~ ( subpopulation @ SY121 @ SV18 @ SY122 )
| ( greater @ ( cardinality_at_time @ SY121 @ SY122 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SY122 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY122 ) @ ( cardinality_at_time @ efficient_producers @ SY122 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(171,plain,
! [SV19: $i] :
( ( ! [SY123: $i] :
( ~ ( environment @ SV19 )
| ~ ( in_environment @ SV19 @ SY123 )
| ( subpopulation @ first_movers @ SV19 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(172,plain,
! [SV20: $i] :
( ( ! [SY124: $i] :
( ~ ( environment @ SV20 )
| ~ ( in_environment @ SV20 @ SY124 )
| ( subpopulation @ efficient_producers @ SV20 @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(173,plain,
! [SV21: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SY125 )
| ~ ( subpopulation @ SY126 @ SV21 @ SY125 )
| ~ ( greater @ ( cardinality_at_time @ SY126 @ SY125 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY126 @ SY125 ) )
| ( ( growth_rate @ SY126 @ SY125 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(174,plain,
! [SV22: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SY127 )
| ~ ( subpopulation @ SY128 @ SV22 @ SY127 )
| ~ ( greater @ ( cardinality_at_time @ SY128 @ SY127 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY128 @ SY127 ) )
| ( greater @ ( growth_rate @ SY128 @ SY127 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(175,plain,
! [SV23: $i] :
( ( ! [SY129: $i,SY130: $i] :
( ~ ( environment @ SV23 )
| ~ ( in_environment @ SV23 @ SY129 )
| ~ ( subpopulation @ SY130 @ SV23 @ SY129 )
| ~ ( greater @ ( cardinality_at_time @ SY130 @ SY129 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY130 @ SY129 ) )
| ( greater @ zero @ ( growth_rate @ SY130 @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(176,plain,
! [SV24: $i] :
( ( ! [SY131: $i] :
( ~ ( environment @ SV24 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SY131 )
| ( greater @ ( cardinality_at_time @ first_movers @ SY131 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(177,plain,
! [SV25: $i] :
( ( ! [SY132: $i] :
( ~ ( environment @ SV25 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV25 @ SY132 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY132 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(178,plain,
! [SV26: $i] :
( ( ! [SY133: $i] :
( ~ ( greater @ SV26 @ SY133 )
| ~ ( greater @ SY133 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(179,plain,
! [SV27: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ( greater @ SV27 @ SY134 )
| ~ ( greater @ SY134 @ SY135 )
| ( greater @ SV27 @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(180,plain,
! [SV28: $i] :
( ( ! [SY136: $i,SY137: $i] :
( ~ ( in_environment @ SV28 @ SY136 )
| ~ ( in_environment @ SV28 @ SY137 )
| ( greater @ SY137 @ SY136 )
| ( SY137 = SY136 )
| ( greater @ SY136 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(181,plain,
! [SV29: $i] :
( ( ! [SY138: $i] :
( ~ ( greater_or_equal @ SV29 @ SY138 )
| ( greater @ SV29 @ SY138 )
| ( SV29 = SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(182,plain,
! [SV30: $i] :
( ( ! [SY139: $i] :
( ~ ( greater @ SV30 @ SY139 )
| ( greater_or_equal @ SV30 @ SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(183,plain,
! [SV31: $i] :
( ( ! [SY140: $i] :
( ~ ( environment @ SV31 )
| ~ ( greater_or_equal @ SY140 @ ( equilibrium @ SV31 ) )
| ~ ( greater @ ( equilibrium @ SV31 ) @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(184,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(185,plain,
! [SV32: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ( environment @ SV32 )
| ~ ( subpopulation @ SY141 @ SV32 @ SY142 )
| ( SY141 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SY142 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY142 ) @ ( cardinality_at_time @ efficient_producers @ SY142 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(186,plain,
! [SV33: $i] :
( ( ! [SY143: $i,SY144: $i] :
( ( SV33
!= ( sum @ SY143 @ SY144 ) )
| ~ ( constant @ SV33 )
| ( constant @ SY144 )
| ( increases @ SY143 )
| ( decreases @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(187,plain,
! [SV34: $i] :
( ( ! [SY145: $i] :
( ( SV34 != SY145 )
| ( greater_or_equal @ SV34 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(188,plain,
! [SV35: $i] :
( ( ! [SY146: $i,SY147: $i] :
( ~ ( environment @ SV35 )
| ~ ( subpopulation @ SY146 @ SV35 @ SY147 )
| ( SY146 != first_movers )
| ( ( number_of_organizations @ SV35 @ SY147 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY147 ) @ ( cardinality_at_time @ efficient_producers @ SY147 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(189,plain,
! [SV36: $i] :
( ( ! [SY148: $i] :
( ~ ( greater @ SV36 @ SY148 )
| ( SV36 != SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(190,plain,
! [SV37: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ( SV37
!= ( sum @ SY149 @ SY150 ) )
| ~ ( constant @ SV37 )
| ( constant @ SY150 )
| ( decreases @ SY150 )
| ( increases @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(191,plain,
! [SV38: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ( SV38
!= ( sum @ SY151 @ SY152 ) )
| ~ ( constant @ SV38 )
| ( constant @ SY151 )
| ( increases @ SY151 )
| ( decreases @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(192,plain,
! [SV39: $i] :
( ( ! [SY153: $i,SY154: $i] :
( ( SV39
!= ( sum @ SY153 @ SY154 ) )
| ~ ( constant @ SV39 )
| ( constant @ SY153 )
| ( increases @ SY153 )
| ( increases @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(193,plain,
! [SV40: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ( SV40
!= ( sum @ SY155 @ SY156 ) )
| ~ ( constant @ SV40 )
| ( constant @ SY156 )
| ( decreases @ SY156 )
| ( decreases @ SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(194,plain,
! [SV41: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ( SV41
!= ( sum @ SY157 @ SY158 ) )
| ~ ( constant @ SV41 )
| ( constant @ SY157 )
| ( decreases @ SY158 )
| ( increases @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(195,plain,
! [SV42: $i] :
( ( ! [SY159: $i,SY160: $i] :
( ( SV42
!= ( sum @ SY159 @ SY160 ) )
| ~ ( constant @ SV42 )
| ( constant @ SY160 )
| ( increases @ SY159 )
| ( increases @ SY160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(196,plain,
! [SV43: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ( SV43
!= ( sum @ SY161 @ SY162 ) )
| ~ ( constant @ SV43 )
| ( constant @ SY161 )
| ( decreases @ SY162 )
| ( decreases @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(197,plain,
! [SV1: $i] :
( ( ( ~ ( in_environment @ sk3 @ SV1 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(198,plain,
! [SV2: $i] :
( ( ( ~ ( in_environment @ sk3 @ SV2 ) )
= $true )
| ( ( greater_or_equal @ ( sk4 @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(199,plain,
! [SV3: $i] :
( ( ( ~ ( in_environment @ sk3 @ SV3 ) )
= $true )
| ( ( ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(200,plain,
! [SV44: $i,SV4: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV44 @ SY163 @ SV4 @ SY164 )
| ~ ( greater_or_equal @ ( growth_rate @ SY163 @ SY164 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SY164 ) )
| ( outcompetes @ SY163 @ SV44 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(201,plain,
! [SV45: $i,SV5: $i] :
( ( ! [SY165: $i,SY166: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV45 @ SY165 @ SV5 @ SY166 )
| ~ ( outcompetes @ SY165 @ SV45 @ SY166 )
| ( greater_or_equal @ ( growth_rate @ SY165 @ SY166 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(202,plain,
! [SV46: $i,SV6: $i] :
( ( ! [SY167: $i,SY168: $i] :
( ~ ( environment @ SV6 )
| ~ ( subpopulations @ SV46 @ SY167 @ SV6 @ SY168 )
| ~ ( outcompetes @ SY167 @ SV46 @ SY168 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SY168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(203,plain,
! [SV47: $i,SV7: $i] :
( ( ~ ( environment @ SV7 )
| ~ ( in_environment @ SV7 @ SV47 )
| ~ ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(204,plain,
! [SV48: $i,SV8: $i] :
( ( ~ ( environment @ SV8 )
| ~ ( in_environment @ SV8 @ SV48 )
| ~ ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
| ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(205,plain,
! [SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ~ ( stable @ SV9 )
| ( in_environment @ SV9 @ ( sk1 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(206,plain,
! [SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ~ ( stable @ SV10 )
| ( greater_or_equal @ ( sk1 @ SV10 ) @ ( equilibrium @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(207,plain,
! [SV49: $i,SV11: $i] :
( ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV49 )
| ~ ( decreases @ ( resources @ SV11 @ SV49 ) )
| ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(208,plain,
! [SV50: $i,SV12: $i] :
( ( ~ ( environment @ SV12 )
| ~ ( in_environment @ SV12 @ SV50 )
| ~ ( constant @ ( resources @ SV12 @ SV50 ) )
| ( constant @ ( number_of_organizations @ SV12 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(209,plain,
! [SV51: $i,SV13: $i] :
( ( ! [SY169: $i] :
( ~ ( environment @ SV13 )
| ~ ( subpopulation @ SV51 @ SV13 @ SY169 )
| ~ ( greater @ ( cardinality_at_time @ SV51 @ SY169 ) @ zero )
| ( SV51 = efficient_producers )
| ( SV51 = first_movers ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(210,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 ) )
= $true )
| ( ( ~ ( stable @ SV14 )
| ( in_environment @ SV14 @ ( sk2 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(211,plain,
! [SV52: $i,SV15: $i] :
( ( ~ ( environment @ SV15 )
| ~ ( stable @ SV15 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
| ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(212,plain,
! [SV53: $i,SV16: $i] :
( ( ~ ( environment @ SV16 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV53 )
| ( in_environment @ SV16 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(213,plain,
! [SV54: $i,SV17: $i] :
( ( ~ ( environment @ SV17 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV54 )
| ( greater @ ( number_of_organizations @ SV17 @ SV54 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(214,plain,
! [SV55: $i,SV18: $i] :
( ( ! [SY170: $i] :
( ~ ( environment @ SV18 )
| ~ ( subpopulation @ SV55 @ SV18 @ SY170 )
| ( greater @ ( cardinality_at_time @ SV55 @ SY170 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SY170 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY170 ) @ ( cardinality_at_time @ efficient_producers @ SY170 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(215,plain,
! [SV56: $i,SV19: $i] :
( ( ~ ( environment @ SV19 )
| ~ ( in_environment @ SV19 @ SV56 )
| ( subpopulation @ first_movers @ SV19 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(216,plain,
! [SV57: $i,SV20: $i] :
( ( ~ ( environment @ SV20 )
| ~ ( in_environment @ SV20 @ SV57 )
| ( subpopulation @ efficient_producers @ SV20 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(217,plain,
! [SV58: $i,SV21: $i] :
( ( ! [SY171: $i] :
( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SV58 )
| ~ ( subpopulation @ SY171 @ SV21 @ SV58 )
| ~ ( greater @ ( cardinality_at_time @ SY171 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY171 @ SV58 ) )
| ( ( growth_rate @ SY171 @ SV58 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(218,plain,
! [SV59: $i,SV22: $i] :
( ( ! [SY172: $i] :
( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SV59 )
| ~ ( subpopulation @ SY172 @ SV22 @ SV59 )
| ~ ( greater @ ( cardinality_at_time @ SY172 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY172 @ SV59 ) )
| ( greater @ ( growth_rate @ SY172 @ SV59 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(219,plain,
! [SV60: $i,SV23: $i] :
( ( ! [SY173: $i] :
( ~ ( environment @ SV23 )
| ~ ( in_environment @ SV23 @ SV60 )
| ~ ( subpopulation @ SY173 @ SV23 @ SV60 )
| ~ ( greater @ ( cardinality_at_time @ SY173 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY173 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SY173 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(220,plain,
! [SV61: $i,SV24: $i] :
( ( ~ ( environment @ SV24 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV61 )
| ( greater @ ( cardinality_at_time @ first_movers @ SV61 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(221,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( environment @ SV25 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV25 @ SV62 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV62 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(222,plain,
! [SV63: $i,SV26: $i] :
( ( ~ ( greater @ SV26 @ SV63 )
| ~ ( greater @ SV63 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(223,plain,
! [SV64: $i,SV27: $i] :
( ( ! [SY174: $i] :
( ~ ( greater @ SV27 @ SV64 )
| ~ ( greater @ SV64 @ SY174 )
| ( greater @ SV27 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(224,plain,
! [SV65: $i,SV28: $i] :
( ( ! [SY175: $i] :
( ~ ( in_environment @ SV28 @ SV65 )
| ~ ( in_environment @ SV28 @ SY175 )
| ( greater @ SY175 @ SV65 )
| ( SY175 = SV65 )
| ( greater @ SV65 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(225,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( greater_or_equal @ SV29 @ SV66 )
| ( greater @ SV29 @ SV66 )
| ( SV29 = SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(226,plain,
! [SV67: $i,SV30: $i] :
( ( ~ ( greater @ SV30 @ SV67 )
| ( greater_or_equal @ SV30 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(227,plain,
! [SV68: $i,SV31: $i] :
( ( ~ ( environment @ SV31 )
| ~ ( greater_or_equal @ SV68 @ ( equilibrium @ SV31 ) )
| ~ ( greater @ ( equilibrium @ SV31 ) @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(228,plain,
! [SV69: $i,SV32: $i] :
( ( ! [SY176: $i] :
( ~ ( environment @ SV32 )
| ~ ( subpopulation @ SV69 @ SV32 @ SY176 )
| ( SV69 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SY176 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY176 ) @ ( cardinality_at_time @ efficient_producers @ SY176 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(229,plain,
! [SV70: $i,SV33: $i] :
( ( ! [SY177: $i] :
( ( SV33
!= ( sum @ SV70 @ SY177 ) )
| ~ ( constant @ SV33 )
| ( constant @ SY177 )
| ( increases @ SV70 )
| ( decreases @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(230,plain,
! [SV71: $i,SV34: $i] :
( ( ( SV34 != SV71 )
| ( greater_or_equal @ SV34 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(231,plain,
! [SV72: $i,SV35: $i] :
( ( ! [SY178: $i] :
( ~ ( environment @ SV35 )
| ~ ( subpopulation @ SV72 @ SV35 @ SY178 )
| ( SV72 != first_movers )
| ( ( number_of_organizations @ SV35 @ SY178 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY178 ) @ ( cardinality_at_time @ efficient_producers @ SY178 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(232,plain,
! [SV73: $i,SV36: $i] :
( ( ~ ( greater @ SV36 @ SV73 )
| ( SV36 != SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(233,plain,
! [SV74: $i,SV37: $i] :
( ( ! [SY179: $i] :
( ( SV37
!= ( sum @ SV74 @ SY179 ) )
| ~ ( constant @ SV37 )
| ( constant @ SY179 )
| ( decreases @ SY179 )
| ( increases @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(234,plain,
! [SV75: $i,SV38: $i] :
( ( ! [SY180: $i] :
( ( SV38
!= ( sum @ SV75 @ SY180 ) )
| ~ ( constant @ SV38 )
| ( constant @ SV75 )
| ( increases @ SV75 )
| ( decreases @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(235,plain,
! [SV76: $i,SV39: $i] :
( ( ! [SY181: $i] :
( ( SV39
!= ( sum @ SV76 @ SY181 ) )
| ~ ( constant @ SV39 )
| ( constant @ SV76 )
| ( increases @ SV76 )
| ( increases @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(236,plain,
! [SV77: $i,SV40: $i] :
( ( ! [SY182: $i] :
( ( SV40
!= ( sum @ SV77 @ SY182 ) )
| ~ ( constant @ SV40 )
| ( constant @ SY182 )
| ( decreases @ SY182 )
| ( decreases @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(237,plain,
! [SV78: $i,SV41: $i] :
( ( ! [SY183: $i] :
( ( SV41
!= ( sum @ SV78 @ SY183 ) )
| ~ ( constant @ SV41 )
| ( constant @ SV78 )
| ( decreases @ SY183 )
| ( increases @ SY183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(238,plain,
! [SV79: $i,SV42: $i] :
( ( ! [SY184: $i] :
( ( SV42
!= ( sum @ SV79 @ SY184 ) )
| ~ ( constant @ SV42 )
| ( constant @ SY184 )
| ( increases @ SV79 )
| ( increases @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(239,plain,
! [SV80: $i,SV43: $i] :
( ( ! [SY185: $i] :
( ( SV43
!= ( sum @ SV80 @ SY185 ) )
| ~ ( constant @ SV43 )
| ( constant @ SV80 )
| ( decreases @ SY185 )
| ( decreases @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(240,plain,
! [SV1: $i] :
( ( ( in_environment @ sk3 @ SV1 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(241,plain,
! [SV2: $i] :
( ( ( in_environment @ sk3 @ SV2 )
= $false )
| ( ( greater_or_equal @ ( sk4 @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(242,plain,
! [SV3: $i] :
( ( ( in_environment @ sk3 @ SV3 )
= $false )
| ( ( ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(243,plain,
! [SV81: $i,SV44: $i,SV4: $i] :
( ( ! [SY186: $i] :
( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV44 @ SV81 @ SV4 @ SY186 )
| ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SY186 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SY186 ) )
| ( outcompetes @ SV81 @ SV44 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(244,plain,
! [SV82: $i,SV45: $i,SV5: $i] :
( ( ! [SY187: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV45 @ SV82 @ SV5 @ SY187 )
| ~ ( outcompetes @ SV82 @ SV45 @ SY187 )
| ( greater_or_equal @ ( growth_rate @ SV82 @ SY187 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(245,plain,
! [SV83: $i,SV46: $i,SV6: $i] :
( ( ! [SY188: $i] :
( ~ ( environment @ SV6 )
| ~ ( subpopulations @ SV46 @ SV83 @ SV6 @ SY188 )
| ~ ( outcompetes @ SV83 @ SV46 @ SY188 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SY188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(246,plain,
! [SV47: $i,SV7: $i] :
( ( ( ~ ( environment @ SV7 ) )
= $true )
| ( ( ~ ( in_environment @ SV7 @ SV47 )
| ~ ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(247,plain,
! [SV48: $i,SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( ~ ( in_environment @ SV8 @ SV48 )
| ~ ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
| ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(248,plain,
! [SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ~ ( stable @ SV9 )
| ( in_environment @ SV9 @ ( sk1 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(249,plain,
! [SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ~ ( stable @ SV10 )
| ( greater_or_equal @ ( sk1 @ SV10 ) @ ( equilibrium @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(250,plain,
! [SV49: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( in_environment @ SV11 @ SV49 )
| ~ ( decreases @ ( resources @ SV11 @ SV49 ) )
| ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(251,plain,
! [SV50: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ~ ( in_environment @ SV12 @ SV50 )
| ~ ( constant @ ( resources @ SV12 @ SV50 ) )
| ( constant @ ( number_of_organizations @ SV12 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(252,plain,
! [SV84: $i,SV51: $i,SV13: $i] :
( ( ~ ( environment @ SV13 )
| ~ ( subpopulation @ SV51 @ SV13 @ SV84 )
| ~ ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
| ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(253,plain,
! [SV14: $i] :
( ( ( environment @ SV14 )
= $false )
| ( ( ~ ( stable @ SV14 )
| ( in_environment @ SV14 @ ( sk2 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(254,plain,
! [SV52: $i,SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( ~ ( stable @ SV15 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
| ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(255,plain,
! [SV53: $i,SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV53 )
| ( in_environment @ SV16 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(256,plain,
! [SV54: $i,SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV54 )
| ( greater @ ( number_of_organizations @ SV17 @ SV54 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(257,plain,
! [SV85: $i,SV55: $i,SV18: $i] :
( ( ~ ( environment @ SV18 )
| ~ ( subpopulation @ SV55 @ SV18 @ SV85 )
| ( greater @ ( cardinality_at_time @ SV55 @ SV85 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SV85 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV85 ) @ ( cardinality_at_time @ efficient_producers @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(258,plain,
! [SV56: $i,SV19: $i] :
( ( ( ~ ( environment @ SV19 ) )
= $true )
| ( ( ~ ( in_environment @ SV19 @ SV56 )
| ( subpopulation @ first_movers @ SV19 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(259,plain,
! [SV57: $i,SV20: $i] :
( ( ( ~ ( environment @ SV20 ) )
= $true )
| ( ( ~ ( in_environment @ SV20 @ SV57 )
| ( subpopulation @ efficient_producers @ SV20 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(260,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SV58 )
| ~ ( subpopulation @ SV86 @ SV21 @ SV58 )
| ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(261,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SV59 )
| ~ ( subpopulation @ SV87 @ SV22 @ SV59 )
| ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(262,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ~ ( environment @ SV23 )
| ~ ( in_environment @ SV23 @ SV60 )
| ~ ( subpopulation @ SV88 @ SV23 @ SV60 )
| ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(263,plain,
! [SV61: $i,SV24: $i] :
( ( ( ~ ( environment @ SV24 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV61 )
| ( greater @ ( cardinality_at_time @ first_movers @ SV61 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(264,plain,
! [SV62: $i,SV25: $i] :
( ( ( ~ ( environment @ SV25 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV25 @ SV62 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV62 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(265,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( greater @ SV26 @ SV63 ) )
= $true )
| ( ( ~ ( greater @ SV63 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(266,plain,
! [SV89: $i,SV64: $i,SV27: $i] :
( ( ~ ( greater @ SV27 @ SV64 )
| ~ ( greater @ SV64 @ SV89 )
| ( greater @ SV27 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(267,plain,
! [SV90: $i,SV65: $i,SV28: $i] :
( ( ~ ( in_environment @ SV28 @ SV65 )
| ~ ( in_environment @ SV28 @ SV90 )
| ( greater @ SV90 @ SV65 )
| ( SV90 = SV65 )
| ( greater @ SV65 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(268,plain,
! [SV66: $i,SV29: $i] :
( ( ( ~ ( greater_or_equal @ SV29 @ SV66 ) )
= $true )
| ( ( ( greater @ SV29 @ SV66 )
| ( SV29 = SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(269,plain,
! [SV67: $i,SV30: $i] :
( ( ( ~ ( greater @ SV30 @ SV67 ) )
= $true )
| ( ( greater_or_equal @ SV30 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(270,plain,
! [SV68: $i,SV31: $i] :
( ( ( ~ ( environment @ SV31 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV68 @ ( equilibrium @ SV31 ) )
| ~ ( greater @ ( equilibrium @ SV31 ) @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(271,plain,
! [SV91: $i,SV69: $i,SV32: $i] :
( ( ~ ( environment @ SV32 )
| ~ ( subpopulation @ SV69 @ SV32 @ SV91 )
| ( SV69 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(272,plain,
! [SV92: $i,SV70: $i,SV33: $i] :
( ( ( SV33
!= ( sum @ SV70 @ SV92 ) )
| ~ ( constant @ SV33 )
| ( constant @ SV92 )
| ( increases @ SV70 )
| ( decreases @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(273,plain,
! [SV71: $i,SV34: $i] :
( ( ( SV34 != SV71 )
= $true )
| ( ( greater_or_equal @ SV34 @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(274,plain,
! [SV93: $i,SV72: $i,SV35: $i] :
( ( ~ ( environment @ SV35 )
| ~ ( subpopulation @ SV72 @ SV35 @ SV93 )
| ( SV72 != first_movers )
| ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(275,plain,
! [SV73: $i,SV36: $i] :
( ( ( ~ ( greater @ SV36 @ SV73 ) )
= $true )
| ( ( SV36 != SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(276,plain,
! [SV94: $i,SV74: $i,SV37: $i] :
( ( ( SV37
!= ( sum @ SV74 @ SV94 ) )
| ~ ( constant @ SV37 )
| ( constant @ SV94 )
| ( decreases @ SV94 )
| ( increases @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(277,plain,
! [SV95: $i,SV75: $i,SV38: $i] :
( ( ( SV38
!= ( sum @ SV75 @ SV95 ) )
| ~ ( constant @ SV38 )
| ( constant @ SV75 )
| ( increases @ SV75 )
| ( decreases @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(278,plain,
! [SV96: $i,SV76: $i,SV39: $i] :
( ( ( SV39
!= ( sum @ SV76 @ SV96 ) )
| ~ ( constant @ SV39 )
| ( constant @ SV76 )
| ( increases @ SV76 )
| ( increases @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(279,plain,
! [SV97: $i,SV77: $i,SV40: $i] :
( ( ( SV40
!= ( sum @ SV77 @ SV97 ) )
| ~ ( constant @ SV40 )
| ( constant @ SV97 )
| ( decreases @ SV97 )
| ( decreases @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(280,plain,
! [SV98: $i,SV78: $i,SV41: $i] :
( ( ( SV41
!= ( sum @ SV78 @ SV98 ) )
| ~ ( constant @ SV41 )
| ( constant @ SV78 )
| ( decreases @ SV98 )
| ( increases @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(281,plain,
! [SV99: $i,SV79: $i,SV42: $i] :
( ( ( SV42
!= ( sum @ SV79 @ SV99 ) )
| ~ ( constant @ SV42 )
| ( constant @ SV99 )
| ( increases @ SV79 )
| ( increases @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(282,plain,
! [SV100: $i,SV80: $i,SV43: $i] :
( ( ( SV43
!= ( sum @ SV80 @ SV100 ) )
| ~ ( constant @ SV43 )
| ( constant @ SV80 )
| ( decreases @ SV100 )
| ( decreases @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(283,plain,
! [SV3: $i] :
( ( ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) )
= $false )
| ( ( in_environment @ sk3 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(284,plain,
! [SV101: $i,SV81: $i,SV44: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
| ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(285,plain,
! [SV102: $i,SV82: $i,SV45: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 )
| ~ ( outcompetes @ SV82 @ SV45 @ SV102 )
| ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(286,plain,
! [SV103: $i,SV83: $i,SV46: $i,SV6: $i] :
( ( ~ ( environment @ SV6 )
| ~ ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 )
| ~ ( outcompetes @ SV83 @ SV46 @ SV103 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(287,plain,
! [SV47: $i,SV7: $i] :
( ( ( environment @ SV7 )
= $false )
| ( ( ~ ( in_environment @ SV7 @ SV47 )
| ~ ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(288,plain,
! [SV48: $i,SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( ~ ( in_environment @ SV8 @ SV48 )
| ~ ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
| ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(289,plain,
! [SV9: $i] :
( ( ( ~ ( stable @ SV9 ) )
= $true )
| ( ( in_environment @ SV9 @ ( sk1 @ SV9 ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(290,plain,
! [SV10: $i] :
( ( ( ~ ( stable @ SV10 ) )
= $true )
| ( ( greater_or_equal @ ( sk1 @ SV10 ) @ ( equilibrium @ SV10 ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(291,plain,
! [SV49: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( in_environment @ SV11 @ SV49 )
| ~ ( decreases @ ( resources @ SV11 @ SV49 ) )
| ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(292,plain,
! [SV50: $i,SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ~ ( in_environment @ SV12 @ SV50 )
| ~ ( constant @ ( resources @ SV12 @ SV50 ) )
| ( constant @ ( number_of_organizations @ SV12 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(293,plain,
! [SV84: $i,SV51: $i,SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ~ ( subpopulation @ SV51 @ SV13 @ SV84 )
| ~ ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
| ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(294,plain,
! [SV14: $i] :
( ( ( ~ ( stable @ SV14 ) )
= $true )
| ( ( in_environment @ SV14 @ ( sk2 @ SV14 ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(295,plain,
! [SV52: $i,SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( ~ ( stable @ SV15 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
| ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(296,plain,
! [SV53: $i,SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV53 )
| ( in_environment @ SV16 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(297,plain,
! [SV54: $i,SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV54 )
| ( greater @ ( number_of_organizations @ SV17 @ SV54 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(298,plain,
! [SV85: $i,SV55: $i,SV18: $i] :
( ( ( ~ ( environment @ SV18 ) )
= $true )
| ( ( ~ ( subpopulation @ SV55 @ SV18 @ SV85 )
| ( greater @ ( cardinality_at_time @ SV55 @ SV85 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SV85 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV85 ) @ ( cardinality_at_time @ efficient_producers @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(299,plain,
! [SV56: $i,SV19: $i] :
( ( ( environment @ SV19 )
= $false )
| ( ( ~ ( in_environment @ SV19 @ SV56 )
| ( subpopulation @ first_movers @ SV19 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(300,plain,
! [SV57: $i,SV20: $i] :
( ( ( environment @ SV20 )
= $false )
| ( ( ~ ( in_environment @ SV20 @ SV57 )
| ( subpopulation @ efficient_producers @ SV20 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(301,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( environment @ SV21 ) )
= $true )
| ( ( ~ ( in_environment @ SV21 @ SV58 )
| ~ ( subpopulation @ SV86 @ SV21 @ SV58 )
| ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(302,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( environment @ SV22 ) )
= $true )
| ( ( ~ ( in_environment @ SV22 @ SV59 )
| ~ ( subpopulation @ SV87 @ SV22 @ SV59 )
| ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(303,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( environment @ SV23 ) )
= $true )
| ( ( ~ ( in_environment @ SV23 @ SV60 )
| ~ ( subpopulation @ SV88 @ SV23 @ SV60 )
| ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(304,plain,
! [SV61: $i,SV24: $i] :
( ( ( environment @ SV24 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV61 )
| ( greater @ ( cardinality_at_time @ first_movers @ SV61 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(305,plain,
! [SV62: $i,SV25: $i] :
( ( ( environment @ SV25 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV25 @ SV62 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV62 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(306,plain,
! [SV63: $i,SV26: $i] :
( ( ( greater @ SV26 @ SV63 )
= $false )
| ( ( ~ ( greater @ SV63 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(307,plain,
! [SV89: $i,SV64: $i,SV27: $i] :
( ( ( ~ ( greater @ SV27 @ SV64 ) )
= $true )
| ( ( ~ ( greater @ SV64 @ SV89 )
| ( greater @ SV27 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(308,plain,
! [SV90: $i,SV65: $i,SV28: $i] :
( ( ( ~ ( in_environment @ SV28 @ SV65 ) )
= $true )
| ( ( ~ ( in_environment @ SV28 @ SV90 )
| ( greater @ SV90 @ SV65 )
| ( SV90 = SV65 )
| ( greater @ SV65 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(309,plain,
! [SV66: $i,SV29: $i] :
( ( ( greater_or_equal @ SV29 @ SV66 )
= $false )
| ( ( ( greater @ SV29 @ SV66 )
| ( SV29 = SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(310,plain,
! [SV67: $i,SV30: $i] :
( ( ( greater @ SV30 @ SV67 )
= $false )
| ( ( greater_or_equal @ SV30 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(311,plain,
! [SV68: $i,SV31: $i] :
( ( ( environment @ SV31 )
= $false )
| ( ( ~ ( greater_or_equal @ SV68 @ ( equilibrium @ SV31 ) )
| ~ ( greater @ ( equilibrium @ SV31 ) @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(312,plain,
! [SV91: $i,SV69: $i,SV32: $i] :
( ( ( ~ ( environment @ SV32 ) )
= $true )
| ( ( ~ ( subpopulation @ SV69 @ SV32 @ SV91 )
| ( SV69 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(313,plain,
! [SV92: $i,SV70: $i,SV33: $i] :
( ( ( SV33
!= ( sum @ SV70 @ SV92 ) )
= $true )
| ( ( ~ ( constant @ SV33 )
| ( constant @ SV92 )
| ( increases @ SV70 )
| ( decreases @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(314,plain,
! [SV71: $i,SV34: $i] :
( ( ( SV34 = SV71 )
= $false )
| ( ( greater_or_equal @ SV34 @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(315,plain,
! [SV93: $i,SV72: $i,SV35: $i] :
( ( ( ~ ( environment @ SV35 ) )
= $true )
| ( ( ~ ( subpopulation @ SV72 @ SV35 @ SV93 )
| ( SV72 != first_movers )
| ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(316,plain,
! [SV73: $i,SV36: $i] :
( ( ( greater @ SV36 @ SV73 )
= $false )
| ( ( SV36 != SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(317,plain,
! [SV94: $i,SV74: $i,SV37: $i] :
( ( ( SV37
!= ( sum @ SV74 @ SV94 ) )
= $true )
| ( ( ~ ( constant @ SV37 )
| ( constant @ SV94 )
| ( decreases @ SV94 )
| ( increases @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(318,plain,
! [SV95: $i,SV75: $i,SV38: $i] :
( ( ( SV38
!= ( sum @ SV75 @ SV95 ) )
= $true )
| ( ( ~ ( constant @ SV38 )
| ( constant @ SV75 )
| ( increases @ SV75 )
| ( decreases @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(319,plain,
! [SV96: $i,SV76: $i,SV39: $i] :
( ( ( SV39
!= ( sum @ SV76 @ SV96 ) )
= $true )
| ( ( ~ ( constant @ SV39 )
| ( constant @ SV76 )
| ( increases @ SV76 )
| ( increases @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(320,plain,
! [SV97: $i,SV77: $i,SV40: $i] :
( ( ( SV40
!= ( sum @ SV77 @ SV97 ) )
= $true )
| ( ( ~ ( constant @ SV40 )
| ( constant @ SV97 )
| ( decreases @ SV97 )
| ( decreases @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(321,plain,
! [SV98: $i,SV78: $i,SV41: $i] :
( ( ( SV41
!= ( sum @ SV78 @ SV98 ) )
= $true )
| ( ( ~ ( constant @ SV41 )
| ( constant @ SV78 )
| ( decreases @ SV98 )
| ( increases @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(322,plain,
! [SV99: $i,SV79: $i,SV42: $i] :
( ( ( SV42
!= ( sum @ SV79 @ SV99 ) )
= $true )
| ( ( ~ ( constant @ SV42 )
| ( constant @ SV99 )
| ( increases @ SV79 )
| ( increases @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(323,plain,
! [SV100: $i,SV80: $i,SV43: $i] :
( ( ( SV43
!= ( sum @ SV80 @ SV100 ) )
= $true )
| ( ( ~ ( constant @ SV43 )
| ( constant @ SV80 )
| ( decreases @ SV100 )
| ( decreases @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(324,plain,
! [SV101: $i,SV81: $i,SV44: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
| ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(325,plain,
! [SV102: $i,SV82: $i,SV45: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 )
| ~ ( outcompetes @ SV82 @ SV45 @ SV102 )
| ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(326,plain,
! [SV103: $i,SV83: $i,SV46: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ~ ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 )
| ~ ( outcompetes @ SV83 @ SV46 @ SV103 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(327,plain,
! [SV47: $i,SV7: $i] :
( ( ( ~ ( in_environment @ SV7 @ SV47 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(328,plain,
! [SV48: $i,SV8: $i] :
( ( ( ~ ( in_environment @ SV8 @ SV48 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
| ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(329,plain,
! [SV9: $i] :
( ( ( stable @ SV9 )
= $false )
| ( ( in_environment @ SV9 @ ( sk1 @ SV9 ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV10: $i] :
( ( ( stable @ SV10 )
= $false )
| ( ( greater_or_equal @ ( sk1 @ SV10 ) @ ( equilibrium @ SV10 ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(331,plain,
! [SV49: $i,SV11: $i] :
( ( ( ~ ( in_environment @ SV11 @ SV49 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV11 @ SV49 ) )
| ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(332,plain,
! [SV50: $i,SV12: $i] :
( ( ( ~ ( in_environment @ SV12 @ SV50 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV12 @ SV50 ) )
| ( constant @ ( number_of_organizations @ SV12 @ SV50 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(333,plain,
! [SV84: $i,SV51: $i,SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ~ ( subpopulation @ SV51 @ SV13 @ SV84 )
| ~ ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
| ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(334,plain,
! [SV14: $i] :
( ( ( stable @ SV14 )
= $false )
| ( ( in_environment @ SV14 @ ( sk2 @ SV14 ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(335,plain,
! [SV52: $i,SV15: $i] :
( ( ( ~ ( stable @ SV15 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
| ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(336,plain,
! [SV53: $i,SV16: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV53 ) )
= $true )
| ( ( in_environment @ SV16 @ SV53 )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(337,plain,
! [SV54: $i,SV17: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV54 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV17 @ SV54 ) @ zero )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(338,plain,
! [SV85: $i,SV55: $i,SV18: $i] :
( ( ( environment @ SV18 )
= $false )
| ( ( ~ ( subpopulation @ SV55 @ SV18 @ SV85 )
| ( greater @ ( cardinality_at_time @ SV55 @ SV85 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SV85 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV85 ) @ ( cardinality_at_time @ efficient_producers @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(339,plain,
! [SV56: $i,SV19: $i] :
( ( ( ~ ( in_environment @ SV19 @ SV56 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV19 @ SV56 )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(340,plain,
! [SV57: $i,SV20: $i] :
( ( ( ~ ( in_environment @ SV20 @ SV57 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV20 @ SV57 )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(341,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( environment @ SV21 )
= $false )
| ( ( ~ ( in_environment @ SV21 @ SV58 )
| ~ ( subpopulation @ SV86 @ SV21 @ SV58 )
| ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(342,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( environment @ SV22 )
= $false )
| ( ( ~ ( in_environment @ SV22 @ SV59 )
| ~ ( subpopulation @ SV87 @ SV22 @ SV59 )
| ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(343,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( environment @ SV23 )
= $false )
| ( ( ~ ( in_environment @ SV23 @ SV60 )
| ~ ( subpopulation @ SV88 @ SV23 @ SV60 )
| ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(344,plain,
! [SV61: $i,SV24: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV61 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV61 ) @ zero )
= $true )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(345,plain,
! [SV62: $i,SV25: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV25 @ SV62 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV62 ) @ zero )
= $true )
| ( ( environment @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(346,plain,
! [SV26: $i,SV63: $i] :
( ( ( greater @ SV63 @ SV26 )
= $false )
| ( ( greater @ SV26 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(347,plain,
! [SV89: $i,SV64: $i,SV27: $i] :
( ( ( greater @ SV27 @ SV64 )
= $false )
| ( ( ~ ( greater @ SV64 @ SV89 )
| ( greater @ SV27 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(348,plain,
! [SV90: $i,SV65: $i,SV28: $i] :
( ( ( in_environment @ SV28 @ SV65 )
= $false )
| ( ( ~ ( in_environment @ SV28 @ SV90 )
| ( greater @ SV90 @ SV65 )
| ( SV90 = SV65 )
| ( greater @ SV65 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(349,plain,
! [SV66: $i,SV29: $i] :
( ( ( greater @ SV29 @ SV66 )
= $true )
| ( ( SV29 = SV66 )
= $true )
| ( ( greater_or_equal @ SV29 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(350,plain,
! [SV31: $i,SV68: $i] :
( ( ( ~ ( greater_or_equal @ SV68 @ ( equilibrium @ SV31 ) ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV31 ) @ SV68 ) )
= $true )
| ( ( environment @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(351,plain,
! [SV91: $i,SV69: $i,SV32: $i] :
( ( ( environment @ SV32 )
= $false )
| ( ( ~ ( subpopulation @ SV69 @ SV32 @ SV91 )
| ( SV69 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(352,plain,
! [SV92: $i,SV70: $i,SV33: $i] :
( ( ( SV33
= ( sum @ SV70 @ SV92 ) )
= $false )
| ( ( ~ ( constant @ SV33 )
| ( constant @ SV92 )
| ( increases @ SV70 )
| ( decreases @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(353,plain,
! [SV93: $i,SV72: $i,SV35: $i] :
( ( ( environment @ SV35 )
= $false )
| ( ( ~ ( subpopulation @ SV72 @ SV35 @ SV93 )
| ( SV72 != first_movers )
| ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(354,plain,
! [SV73: $i,SV36: $i] :
( ( ( SV36 = SV73 )
= $false )
| ( ( greater @ SV36 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(355,plain,
! [SV94: $i,SV74: $i,SV37: $i] :
( ( ( SV37
= ( sum @ SV74 @ SV94 ) )
= $false )
| ( ( ~ ( constant @ SV37 )
| ( constant @ SV94 )
| ( decreases @ SV94 )
| ( increases @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(356,plain,
! [SV95: $i,SV75: $i,SV38: $i] :
( ( ( SV38
= ( sum @ SV75 @ SV95 ) )
= $false )
| ( ( ~ ( constant @ SV38 )
| ( constant @ SV75 )
| ( increases @ SV75 )
| ( decreases @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(357,plain,
! [SV96: $i,SV76: $i,SV39: $i] :
( ( ( SV39
= ( sum @ SV76 @ SV96 ) )
= $false )
| ( ( ~ ( constant @ SV39 )
| ( constant @ SV76 )
| ( increases @ SV76 )
| ( increases @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(358,plain,
! [SV97: $i,SV77: $i,SV40: $i] :
( ( ( SV40
= ( sum @ SV77 @ SV97 ) )
= $false )
| ( ( ~ ( constant @ SV40 )
| ( constant @ SV97 )
| ( decreases @ SV97 )
| ( decreases @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(359,plain,
! [SV98: $i,SV78: $i,SV41: $i] :
( ( ( SV41
= ( sum @ SV78 @ SV98 ) )
= $false )
| ( ( ~ ( constant @ SV41 )
| ( constant @ SV78 )
| ( decreases @ SV98 )
| ( increases @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(360,plain,
! [SV99: $i,SV79: $i,SV42: $i] :
( ( ( SV42
= ( sum @ SV79 @ SV99 ) )
= $false )
| ( ( ~ ( constant @ SV42 )
| ( constant @ SV99 )
| ( increases @ SV79 )
| ( increases @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(361,plain,
! [SV100: $i,SV80: $i,SV43: $i] :
( ( ( SV43
= ( sum @ SV80 @ SV100 ) )
= $false )
| ( ( ~ ( constant @ SV43 )
| ( constant @ SV80 )
| ( decreases @ SV100 )
| ( decreases @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(362,plain,
! [SV101: $i,SV81: $i,SV44: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
| ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(363,plain,
! [SV102: $i,SV82: $i,SV45: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 )
| ~ ( outcompetes @ SV82 @ SV45 @ SV102 )
| ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(364,plain,
! [SV103: $i,SV83: $i,SV46: $i,SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ~ ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 )
| ~ ( outcompetes @ SV83 @ SV46 @ SV103 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(365,plain,
! [SV47: $i,SV7: $i] :
( ( ( in_environment @ SV7 @ SV47 )
= $false )
| ( ( ~ ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(366,plain,
! [SV48: $i,SV8: $i] :
( ( ( in_environment @ SV8 @ SV48 )
= $false )
| ( ( ~ ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
| ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(367,plain,
! [SV49: $i,SV11: $i] :
( ( ( in_environment @ SV11 @ SV49 )
= $false )
| ( ( ~ ( decreases @ ( resources @ SV11 @ SV49 ) )
| ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(368,plain,
! [SV50: $i,SV12: $i] :
( ( ( in_environment @ SV12 @ SV50 )
= $false )
| ( ( ~ ( constant @ ( resources @ SV12 @ SV50 ) )
| ( constant @ ( number_of_organizations @ SV12 @ SV50 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(369,plain,
! [SV84: $i,SV13: $i,SV51: $i] :
( ( ( ~ ( subpopulation @ SV51 @ SV13 @ SV84 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
| ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(370,plain,
! [SV52: $i,SV15: $i] :
( ( ( stable @ SV15 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
| ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(371,plain,
! [SV53: $i,SV16: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV53 )
= $false )
| ( ( in_environment @ SV16 @ SV53 )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(372,plain,
! [SV54: $i,SV17: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV17 @ SV54 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV17 @ SV54 ) @ zero )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(373,plain,
! [SV85: $i,SV18: $i,SV55: $i] :
( ( ( ~ ( subpopulation @ SV55 @ SV18 @ SV85 ) )
= $true )
| ( ( ( greater @ ( cardinality_at_time @ SV55 @ SV85 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SV85 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV85 ) @ ( cardinality_at_time @ efficient_producers @ SV85 ) ) ) )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(374,plain,
! [SV56: $i,SV19: $i] :
( ( ( in_environment @ SV19 @ SV56 )
= $false )
| ( ( subpopulation @ first_movers @ SV19 @ SV56 )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(375,plain,
! [SV57: $i,SV20: $i] :
( ( ( in_environment @ SV20 @ SV57 )
= $false )
| ( ( subpopulation @ efficient_producers @ SV20 @ SV57 )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(376,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( in_environment @ SV21 @ SV58 ) )
= $true )
| ( ( ~ ( subpopulation @ SV86 @ SV21 @ SV58 )
| ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(377,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( in_environment @ SV22 @ SV59 ) )
= $true )
| ( ( ~ ( subpopulation @ SV87 @ SV22 @ SV59 )
| ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(378,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( in_environment @ SV23 @ SV60 ) )
= $true )
| ( ( ~ ( subpopulation @ SV88 @ SV23 @ SV60 )
| ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(379,plain,
! [SV61: $i,SV24: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV24 @ SV61 )
= $false )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV61 ) @ zero )
= $true )
| ( ( environment @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(380,plain,
! [SV62: $i,SV25: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV25 @ SV62 )
= $false )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV62 ) @ zero )
= $true )
| ( ( environment @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(381,plain,
! [SV27: $i,SV89: $i,SV64: $i] :
( ( ( ~ ( greater @ SV64 @ SV89 ) )
= $true )
| ( ( greater @ SV27 @ SV89 )
= $true )
| ( ( greater @ SV27 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(382,plain,
! [SV65: $i,SV90: $i,SV28: $i] :
( ( ( ~ ( in_environment @ SV28 @ SV90 ) )
= $true )
| ( ( ( greater @ SV90 @ SV65 )
| ( SV90 = SV65 )
| ( greater @ SV65 @ SV90 ) )
= $true )
| ( ( in_environment @ SV28 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(383,plain,
! [SV31: $i,SV68: $i] :
( ( ( greater_or_equal @ SV68 @ ( equilibrium @ SV31 ) )
= $false )
| ( ( ~ ( greater @ ( equilibrium @ SV31 ) @ SV68 ) )
= $true )
| ( ( environment @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(384,plain,
! [SV91: $i,SV32: $i,SV69: $i] :
( ( ( ~ ( subpopulation @ SV69 @ SV32 @ SV91 ) )
= $true )
| ( ( ( SV69 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) ) )
= $true )
| ( ( environment @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(385,plain,
! [SV70: $i,SV92: $i,SV33: $i] :
( ( ( ~ ( constant @ SV33 ) )
= $true )
| ( ( ( constant @ SV92 )
| ( increases @ SV70 )
| ( decreases @ SV70 ) )
= $true )
| ( ( SV33
= ( sum @ SV70 @ SV92 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(386,plain,
! [SV93: $i,SV35: $i,SV72: $i] :
( ( ( ~ ( subpopulation @ SV72 @ SV35 @ SV93 ) )
= $true )
| ( ( ( SV72 != first_movers )
| ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) ) )
= $true )
| ( ( environment @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(387,plain,
! [SV74: $i,SV94: $i,SV37: $i] :
( ( ( ~ ( constant @ SV37 ) )
= $true )
| ( ( ( constant @ SV94 )
| ( decreases @ SV94 )
| ( increases @ SV94 ) )
= $true )
| ( ( SV37
= ( sum @ SV74 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(388,plain,
! [SV95: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( constant @ SV38 ) )
= $true )
| ( ( ( constant @ SV75 )
| ( increases @ SV75 )
| ( decreases @ SV75 ) )
= $true )
| ( ( SV38
= ( sum @ SV75 @ SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(389,plain,
! [SV96: $i,SV76: $i,SV39: $i] :
( ( ( ~ ( constant @ SV39 ) )
= $true )
| ( ( ( constant @ SV76 )
| ( increases @ SV76 )
| ( increases @ SV96 ) )
= $true )
| ( ( SV39
= ( sum @ SV76 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(390,plain,
! [SV77: $i,SV97: $i,SV40: $i] :
( ( ( ~ ( constant @ SV40 ) )
= $true )
| ( ( ( constant @ SV97 )
| ( decreases @ SV97 )
| ( decreases @ SV77 ) )
= $true )
| ( ( SV40
= ( sum @ SV77 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(391,plain,
! [SV98: $i,SV78: $i,SV41: $i] :
( ( ( ~ ( constant @ SV41 ) )
= $true )
| ( ( ( constant @ SV78 )
| ( decreases @ SV98 )
| ( increases @ SV98 ) )
= $true )
| ( ( SV41
= ( sum @ SV78 @ SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(392,plain,
! [SV79: $i,SV99: $i,SV42: $i] :
( ( ( ~ ( constant @ SV42 ) )
= $true )
| ( ( ( constant @ SV99 )
| ( increases @ SV79 )
| ( increases @ SV99 ) )
= $true )
| ( ( SV42
= ( sum @ SV79 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(393,plain,
! [SV100: $i,SV80: $i,SV43: $i] :
( ( ( ~ ( constant @ SV43 ) )
= $true )
| ( ( ( constant @ SV80 )
| ( decreases @ SV100 )
| ( decreases @ SV80 ) )
= $true )
| ( ( SV43
= ( sum @ SV80 @ SV100 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(394,plain,
! [SV101: $i,SV4: $i,SV81: $i,SV44: $i] :
( ( ( ~ ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(395,plain,
! [SV102: $i,SV5: $i,SV82: $i,SV45: $i] :
( ( ( ~ ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 ) )
= $true )
| ( ( ~ ( outcompetes @ SV82 @ SV45 @ SV102 )
| ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(396,plain,
! [SV103: $i,SV6: $i,SV83: $i,SV46: $i] :
( ( ( ~ ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 ) )
= $true )
| ( ( ~ ( outcompetes @ SV83 @ SV46 @ SV103 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(397,plain,
! [SV47: $i,SV7: $i] :
( ( ( ~ ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true )
| ( ( in_environment @ SV7 @ SV47 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(398,plain,
! [SV48: $i,SV8: $i] :
( ( ( ~ ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true )
| ( ( in_environment @ SV8 @ SV48 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(399,plain,
! [SV49: $i,SV11: $i] :
( ( ( ~ ( decreases @ ( resources @ SV11 @ SV49 ) ) )
= $true )
| ( ( ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true )
| ( ( in_environment @ SV11 @ SV49 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(400,plain,
! [SV50: $i,SV12: $i] :
( ( ( ~ ( constant @ ( resources @ SV12 @ SV50 ) ) )
= $true )
| ( ( constant @ ( number_of_organizations @ SV12 @ SV50 ) )
= $true )
| ( ( in_environment @ SV12 @ SV50 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(401,plain,
! [SV84: $i,SV13: $i,SV51: $i] :
( ( ( subpopulation @ SV51 @ SV13 @ SV84 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
| ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(402,plain,
! [SV52: $i,SV15: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true )
| ( ( stable @ SV15 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(403,plain,
! [SV85: $i,SV18: $i,SV55: $i] :
( ( ( subpopulation @ SV55 @ SV18 @ SV85 )
= $false )
| ( ( ( greater @ ( cardinality_at_time @ SV55 @ SV85 ) @ zero )
| ( ( number_of_organizations @ SV18 @ SV85 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV85 ) @ ( cardinality_at_time @ efficient_producers @ SV85 ) ) ) )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(404,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( ~ ( subpopulation @ SV86 @ SV21 @ SV58 )
| ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(405,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( ~ ( subpopulation @ SV87 @ SV22 @ SV59 )
| ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(406,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( ~ ( subpopulation @ SV88 @ SV23 @ SV60 )
| ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(407,plain,
! [SV27: $i,SV89: $i,SV64: $i] :
( ( ( greater @ SV64 @ SV89 )
= $false )
| ( ( greater @ SV27 @ SV89 )
= $true )
| ( ( greater @ SV27 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(408,plain,
! [SV65: $i,SV90: $i,SV28: $i] :
( ( ( in_environment @ SV28 @ SV90 )
= $false )
| ( ( ( greater @ SV90 @ SV65 )
| ( SV90 = SV65 )
| ( greater @ SV65 @ SV90 ) )
= $true )
| ( ( in_environment @ SV28 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(409,plain,
! [SV68: $i,SV31: $i] :
( ( ( greater @ ( equilibrium @ SV31 ) @ SV68 )
= $false )
| ( ( greater_or_equal @ SV68 @ ( equilibrium @ SV31 ) )
= $false )
| ( ( environment @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(410,plain,
! [SV91: $i,SV32: $i,SV69: $i] :
( ( ( subpopulation @ SV69 @ SV32 @ SV91 )
= $false )
| ( ( ( SV69 != efficient_producers )
| ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) ) )
= $true )
| ( ( environment @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(411,plain,
! [SV70: $i,SV92: $i,SV33: $i] :
( ( ( constant @ SV33 )
= $false )
| ( ( ( constant @ SV92 )
| ( increases @ SV70 )
| ( decreases @ SV70 ) )
= $true )
| ( ( SV33
= ( sum @ SV70 @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(412,plain,
! [SV93: $i,SV35: $i,SV72: $i] :
( ( ( subpopulation @ SV72 @ SV35 @ SV93 )
= $false )
| ( ( ( SV72 != first_movers )
| ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) ) )
= $true )
| ( ( environment @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(413,plain,
! [SV74: $i,SV94: $i,SV37: $i] :
( ( ( constant @ SV37 )
= $false )
| ( ( ( constant @ SV94 )
| ( decreases @ SV94 )
| ( increases @ SV94 ) )
= $true )
| ( ( SV37
= ( sum @ SV74 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(414,plain,
! [SV95: $i,SV75: $i,SV38: $i] :
( ( ( constant @ SV38 )
= $false )
| ( ( ( constant @ SV75 )
| ( increases @ SV75 )
| ( decreases @ SV75 ) )
= $true )
| ( ( SV38
= ( sum @ SV75 @ SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(415,plain,
! [SV96: $i,SV76: $i,SV39: $i] :
( ( ( constant @ SV39 )
= $false )
| ( ( ( constant @ SV76 )
| ( increases @ SV76 )
| ( increases @ SV96 ) )
= $true )
| ( ( SV39
= ( sum @ SV76 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(416,plain,
! [SV77: $i,SV97: $i,SV40: $i] :
( ( ( constant @ SV40 )
= $false )
| ( ( ( constant @ SV97 )
| ( decreases @ SV97 )
| ( decreases @ SV77 ) )
= $true )
| ( ( SV40
= ( sum @ SV77 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(417,plain,
! [SV98: $i,SV78: $i,SV41: $i] :
( ( ( constant @ SV41 )
= $false )
| ( ( ( constant @ SV78 )
| ( decreases @ SV98 )
| ( increases @ SV98 ) )
= $true )
| ( ( SV41
= ( sum @ SV78 @ SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(418,plain,
! [SV79: $i,SV99: $i,SV42: $i] :
( ( ( constant @ SV42 )
= $false )
| ( ( ( constant @ SV99 )
| ( increases @ SV79 )
| ( increases @ SV99 ) )
= $true )
| ( ( SV42
= ( sum @ SV79 @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(419,plain,
! [SV100: $i,SV80: $i,SV43: $i] :
( ( ( constant @ SV43 )
= $false )
| ( ( ( constant @ SV80 )
| ( decreases @ SV100 )
| ( decreases @ SV80 ) )
= $true )
| ( ( SV43
= ( sum @ SV80 @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(420,plain,
! [SV101: $i,SV4: $i,SV81: $i,SV44: $i] :
( ( ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
= $false )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(421,plain,
! [SV102: $i,SV5: $i,SV82: $i,SV45: $i] :
( ( ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 )
= $false )
| ( ( ~ ( outcompetes @ SV82 @ SV45 @ SV102 )
| ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(422,plain,
! [SV103: $i,SV6: $i,SV83: $i,SV46: $i] :
( ( ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 )
= $false )
| ( ( ~ ( outcompetes @ SV83 @ SV46 @ SV103 )
| ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(423,plain,
! [SV47: $i,SV7: $i] :
( ( ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
= $false )
| ( ( ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 )
| ( decreases @ ( resources @ SV7 @ SV47 ) ) )
= $true )
| ( ( in_environment @ SV7 @ SV47 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(424,plain,
! [SV48: $i,SV8: $i] :
( ( ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
= $false )
| ( ( ( greater @ ( equilibrium @ SV8 ) @ SV48 )
| ( constant @ ( resources @ SV8 @ SV48 ) ) )
= $true )
| ( ( in_environment @ SV8 @ SV48 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(425,plain,
! [SV49: $i,SV11: $i] :
( ( ( decreases @ ( resources @ SV11 @ SV49 ) )
= $false )
| ( ( ~ ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) ) )
= $true )
| ( ( in_environment @ SV11 @ SV49 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(426,plain,
! [SV50: $i,SV12: $i] :
( ( ( constant @ ( resources @ SV12 @ SV50 ) )
= $false )
| ( ( constant @ ( number_of_organizations @ SV12 @ SV50 ) )
= $true )
| ( ( in_environment @ SV12 @ SV50 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(427,plain,
! [SV13: $i,SV84: $i,SV51: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero ) )
= $true )
| ( ( ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true )
| ( ( subpopulation @ SV51 @ SV13 @ SV84 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(428,plain,
! [SV52: $i,SV15: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
= $false )
| ( ( ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) ) )
= $true )
| ( ( stable @ SV15 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(429,plain,
! [SV18: $i,SV85: $i,SV55: $i] :
( ( ( greater @ ( cardinality_at_time @ SV55 @ SV85 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV18 @ SV85 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV85 ) @ ( cardinality_at_time @ efficient_producers @ SV85 ) ) )
= $true )
| ( ( subpopulation @ SV55 @ SV18 @ SV85 )
= $false )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(430,plain,
! [SV58: $i,SV21: $i,SV86: $i] :
( ( ( ~ ( subpopulation @ SV86 @ SV21 @ SV58 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true )
| ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(431,plain,
! [SV59: $i,SV22: $i,SV87: $i] :
( ( ( ~ ( subpopulation @ SV87 @ SV22 @ SV59 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(432,plain,
! [SV60: $i,SV23: $i,SV88: $i] :
( ( ( ~ ( subpopulation @ SV88 @ SV23 @ SV60 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true )
| ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(433,plain,
! [SV28: $i,SV65: $i,SV90: $i] :
( ( ( greater @ SV90 @ SV65 )
= $true )
| ( ( ( SV90 = SV65 )
| ( greater @ SV65 @ SV90 ) )
= $true )
| ( ( in_environment @ SV28 @ SV90 )
= $false )
| ( ( in_environment @ SV28 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(434,plain,
! [SV91: $i,SV32: $i,SV69: $i] :
( ( ( SV69 != efficient_producers )
= $true )
| ( ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) )
= $true )
| ( ( subpopulation @ SV69 @ SV32 @ SV91 )
= $false )
| ( ( environment @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(435,plain,
! [SV33: $i,SV70: $i,SV92: $i] :
( ( ( constant @ SV92 )
= $true )
| ( ( ( increases @ SV70 )
| ( decreases @ SV70 ) )
= $true )
| ( ( constant @ SV33 )
= $false )
| ( ( SV33
= ( sum @ SV70 @ SV92 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(436,plain,
! [SV93: $i,SV35: $i,SV72: $i] :
( ( ( SV72 != first_movers )
= $true )
| ( ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) )
= $true )
| ( ( subpopulation @ SV72 @ SV35 @ SV93 )
= $false )
| ( ( environment @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(437,plain,
! [SV74: $i,SV37: $i,SV94: $i] :
( ( ( constant @ SV94 )
= $true )
| ( ( ( decreases @ SV94 )
| ( increases @ SV94 ) )
= $true )
| ( ( constant @ SV37 )
= $false )
| ( ( SV37
= ( sum @ SV74 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(438,plain,
! [SV95: $i,SV38: $i,SV75: $i] :
( ( ( constant @ SV75 )
= $true )
| ( ( ( increases @ SV75 )
| ( decreases @ SV75 ) )
= $true )
| ( ( constant @ SV38 )
= $false )
| ( ( SV38
= ( sum @ SV75 @ SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(439,plain,
! [SV39: $i,SV96: $i,SV76: $i] :
( ( ( constant @ SV76 )
= $true )
| ( ( ( increases @ SV76 )
| ( increases @ SV96 ) )
= $true )
| ( ( constant @ SV39 )
= $false )
| ( ( SV39
= ( sum @ SV76 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(440,plain,
! [SV40: $i,SV77: $i,SV97: $i] :
( ( ( constant @ SV97 )
= $true )
| ( ( ( decreases @ SV97 )
| ( decreases @ SV77 ) )
= $true )
| ( ( constant @ SV40 )
= $false )
| ( ( SV40
= ( sum @ SV77 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(441,plain,
! [SV41: $i,SV98: $i,SV78: $i] :
( ( ( constant @ SV78 )
= $true )
| ( ( ( decreases @ SV98 )
| ( increases @ SV98 ) )
= $true )
| ( ( constant @ SV41 )
= $false )
| ( ( SV41
= ( sum @ SV78 @ SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(442,plain,
! [SV42: $i,SV79: $i,SV99: $i] :
( ( ( constant @ SV99 )
= $true )
| ( ( ( increases @ SV79 )
| ( increases @ SV99 ) )
= $true )
| ( ( constant @ SV42 )
= $false )
| ( ( SV42
= ( sum @ SV79 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(443,plain,
! [SV43: $i,SV100: $i,SV80: $i] :
( ( ( constant @ SV80 )
= $true )
| ( ( ( decreases @ SV100 )
| ( decreases @ SV80 ) )
= $true )
| ( ( constant @ SV43 )
= $false )
| ( ( SV43
= ( sum @ SV80 @ SV100 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(444,plain,
! [SV4: $i,SV44: $i,SV101: $i,SV81: $i] :
( ( ( ~ ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true )
| ( ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(445,plain,
! [SV5: $i,SV102: $i,SV45: $i,SV82: $i] :
( ( ( ~ ( outcompetes @ SV82 @ SV45 @ SV102 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero )
= $true )
| ( ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(446,plain,
! [SV6: $i,SV103: $i,SV46: $i,SV83: $i] :
( ( ( ~ ( outcompetes @ SV83 @ SV46 @ SV103 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) )
= $true )
| ( ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(447,plain,
! [SV47: $i,SV7: $i] :
( ( ( ~ ( greater @ ( equilibrium @ SV7 ) @ SV47 ) )
= $true )
| ( ( decreases @ ( resources @ SV7 @ SV47 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
= $false )
| ( ( in_environment @ SV7 @ SV47 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(448,plain,
! [SV48: $i,SV8: $i] :
( ( ( greater @ ( equilibrium @ SV8 ) @ SV48 )
= $true )
| ( ( constant @ ( resources @ SV8 @ SV48 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV8 @ SV48 ) @ zero )
= $false )
| ( ( in_environment @ SV8 @ SV48 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(449,plain,
! [SV49: $i,SV11: $i] :
( ( ( decreases @ ( number_of_organizations @ SV11 @ SV49 ) )
= $false )
| ( ( decreases @ ( resources @ SV11 @ SV49 ) )
= $false )
| ( ( in_environment @ SV11 @ SV49 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(450,plain,
! [SV13: $i,SV84: $i,SV51: $i] :
( ( ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
= $false )
| ( ( ( SV51 = efficient_producers )
| ( SV51 = first_movers ) )
= $true )
| ( ( subpopulation @ SV51 @ SV13 @ SV84 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(451,plain,
! [SV15: $i,SV52: $i] :
( ( ( ~ ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
= $false )
| ( ( stable @ SV15 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(452,plain,
! [SV58: $i,SV21: $i,SV86: $i] :
( ( ( subpopulation @ SV86 @ SV21 @ SV58 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true )
| ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(453,plain,
! [SV59: $i,SV22: $i,SV87: $i] :
( ( ( subpopulation @ SV87 @ SV22 @ SV59 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(454,plain,
! [SV60: $i,SV23: $i,SV88: $i] :
( ( ( subpopulation @ SV88 @ SV23 @ SV60 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true )
| ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(455,plain,
! [SV28: $i,SV65: $i,SV90: $i] :
( ( ( SV90 = SV65 )
= $true )
| ( ( greater @ SV65 @ SV90 )
= $true )
| ( ( greater @ SV90 @ SV65 )
= $true )
| ( ( in_environment @ SV28 @ SV90 )
= $false )
| ( ( in_environment @ SV28 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(456,plain,
! [SV91: $i,SV32: $i,SV69: $i] :
( ( ( SV69 = efficient_producers )
= $false )
| ( ( ( number_of_organizations @ SV32 @ SV91 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV91 ) @ ( cardinality_at_time @ efficient_producers @ SV91 ) ) )
= $true )
| ( ( subpopulation @ SV69 @ SV32 @ SV91 )
= $false )
| ( ( environment @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(457,plain,
! [SV33: $i,SV92: $i,SV70: $i] :
( ( ( increases @ SV70 )
= $true )
| ( ( decreases @ SV70 )
= $true )
| ( ( constant @ SV92 )
= $true )
| ( ( constant @ SV33 )
= $false )
| ( ( SV33
= ( sum @ SV70 @ SV92 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(458,plain,
! [SV93: $i,SV35: $i,SV72: $i] :
( ( ( SV72 = first_movers )
= $false )
| ( ( ( number_of_organizations @ SV35 @ SV93 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV93 ) @ ( cardinality_at_time @ efficient_producers @ SV93 ) ) )
= $true )
| ( ( subpopulation @ SV72 @ SV35 @ SV93 )
= $false )
| ( ( environment @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(459,plain,
! [SV74: $i,SV37: $i,SV94: $i] :
( ( ( decreases @ SV94 )
= $true )
| ( ( increases @ SV94 )
= $true )
| ( ( constant @ SV94 )
= $true )
| ( ( constant @ SV37 )
= $false )
| ( ( SV37
= ( sum @ SV74 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(460,plain,
! [SV95: $i,SV38: $i,SV75: $i] :
( ( ( increases @ SV75 )
= $true )
| ( ( decreases @ SV75 )
= $true )
| ( ( constant @ SV75 )
= $true )
| ( ( constant @ SV38 )
= $false )
| ( ( SV38
= ( sum @ SV75 @ SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(461,plain,
! [SV39: $i,SV96: $i,SV76: $i] :
( ( ( increases @ SV76 )
= $true )
| ( ( increases @ SV96 )
= $true )
| ( ( constant @ SV76 )
= $true )
| ( ( constant @ SV39 )
= $false )
| ( ( SV39
= ( sum @ SV76 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(462,plain,
! [SV40: $i,SV77: $i,SV97: $i] :
( ( ( decreases @ SV97 )
= $true )
| ( ( decreases @ SV77 )
= $true )
| ( ( constant @ SV97 )
= $true )
| ( ( constant @ SV40 )
= $false )
| ( ( SV40
= ( sum @ SV77 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(463,plain,
! [SV41: $i,SV78: $i,SV98: $i] :
( ( ( decreases @ SV98 )
= $true )
| ( ( increases @ SV98 )
= $true )
| ( ( constant @ SV78 )
= $true )
| ( ( constant @ SV41 )
= $false )
| ( ( SV41
= ( sum @ SV78 @ SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(464,plain,
! [SV42: $i,SV99: $i,SV79: $i] :
( ( ( increases @ SV79 )
= $true )
| ( ( increases @ SV99 )
= $true )
| ( ( constant @ SV99 )
= $true )
| ( ( constant @ SV42 )
= $false )
| ( ( SV42
= ( sum @ SV79 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(465,plain,
! [SV43: $i,SV80: $i,SV100: $i] :
( ( ( decreases @ SV100 )
= $true )
| ( ( decreases @ SV80 )
= $true )
| ( ( constant @ SV80 )
= $true )
| ( ( constant @ SV43 )
= $false )
| ( ( SV43
= ( sum @ SV80 @ SV100 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(466,plain,
! [SV4: $i,SV44: $i,SV101: $i,SV81: $i] :
( ( ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
| ( outcompetes @ SV81 @ SV44 @ SV101 ) )
= $true )
| ( ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(467,plain,
! [SV5: $i,SV102: $i,SV45: $i,SV82: $i] :
( ( ( outcompetes @ SV82 @ SV45 @ SV102 )
= $false )
| ( ( greater_or_equal @ ( growth_rate @ SV82 @ SV102 ) @ zero )
= $true )
| ( ( subpopulations @ SV45 @ SV82 @ SV5 @ SV102 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(468,plain,
! [SV6: $i,SV103: $i,SV46: $i,SV83: $i] :
( ( ( outcompetes @ SV83 @ SV46 @ SV103 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV46 @ SV103 ) )
= $true )
| ( ( subpopulations @ SV46 @ SV83 @ SV6 @ SV103 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(469,plain,
! [SV47: $i,SV7: $i] :
( ( ( greater @ ( equilibrium @ SV7 ) @ SV47 )
= $false )
| ( ( decreases @ ( resources @ SV7 @ SV47 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV7 @ SV47 ) @ zero )
= $false )
| ( ( in_environment @ SV7 @ SV47 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(470,plain,
! [SV13: $i,SV84: $i,SV51: $i] :
( ( ( SV51 = efficient_producers )
= $true )
| ( ( SV51 = first_movers )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV51 @ SV84 ) @ zero )
= $false )
| ( ( subpopulation @ SV51 @ SV13 @ SV84 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(471,plain,
! [SV15: $i,SV52: $i] :
( ( ( greater_or_equal @ SV52 @ ( sk2 @ SV15 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV52 ) @ ( growth_rate @ first_movers @ SV52 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV15 @ SV52 )
= $false )
| ( ( stable @ SV15 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(472,plain,
! [SV21: $i,SV58: $i,SV86: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true )
| ( ( subpopulation @ SV86 @ SV21 @ SV58 )
= $false )
| ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(473,plain,
! [SV22: $i,SV59: $i,SV87: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( subpopulation @ SV87 @ SV22 @ SV59 )
= $false )
| ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(474,plain,
! [SV23: $i,SV60: $i,SV88: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true )
| ( ( subpopulation @ SV88 @ SV23 @ SV60 )
= $false )
| ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(475,plain,
! [SV4: $i,SV81: $i,SV101: $i,SV44: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) ) )
= $true )
| ( ( outcompetes @ SV81 @ SV44 @ SV101 )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
= $false )
| ( ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(476,plain,
! [SV21: $i,SV58: $i,SV86: $i] :
( ( ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
= $false )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
| ( ( growth_rate @ SV86 @ SV58 )
= zero ) )
= $true )
| ( ( subpopulation @ SV86 @ SV21 @ SV58 )
= $false )
| ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(477,plain,
! [SV22: $i,SV59: $i,SV87: $i] :
( ( ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
= $false )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
| ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero ) )
= $true )
| ( ( subpopulation @ SV87 @ SV22 @ SV59 )
= $false )
| ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(478,plain,
! [SV23: $i,SV60: $i,SV88: $i] :
( ( ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
= $false )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
| ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) ) )
= $true )
| ( ( subpopulation @ SV88 @ SV23 @ SV60 )
= $false )
| ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(479,plain,
! [SV4: $i,SV81: $i,SV101: $i,SV44: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV44 @ SV101 ) )
= $false )
| ( ( outcompetes @ SV81 @ SV44 @ SV101 )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV81 @ SV101 ) @ zero )
= $false )
| ( ( subpopulations @ SV44 @ SV81 @ SV4 @ SV101 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(480,plain,
! [SV21: $i,SV58: $i,SV86: $i] :
( ( ( ~ ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) ) )
= $true )
| ( ( ( growth_rate @ SV86 @ SV58 )
= zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
= $false )
| ( ( subpopulation @ SV86 @ SV21 @ SV58 )
= $false )
| ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(481,plain,
! [SV22: $i,SV59: $i,SV87: $i] :
( ( ( ~ ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
= $false )
| ( ( subpopulation @ SV87 @ SV22 @ SV59 )
= $false )
| ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(482,plain,
! [SV23: $i,SV60: $i,SV88: $i] :
( ( ( ~ ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
= $false )
| ( ( subpopulation @ SV88 @ SV23 @ SV60 )
= $false )
| ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(483,plain,
! [SV21: $i,SV58: $i,SV86: $i] :
( ( ( constant @ ( cardinality_at_time @ SV86 @ SV58 ) )
= $false )
| ( ( ( growth_rate @ SV86 @ SV58 )
= zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV86 @ SV58 ) @ zero )
= $false )
| ( ( subpopulation @ SV86 @ SV21 @ SV58 )
= $false )
| ( ( in_environment @ SV21 @ SV58 )
= $false )
| ( ( environment @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(484,plain,
! [SV22: $i,SV59: $i,SV87: $i] :
( ( ( increases @ ( cardinality_at_time @ SV87 @ SV59 ) )
= $false )
| ( ( greater @ ( growth_rate @ SV87 @ SV59 ) @ zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV87 @ SV59 ) @ zero )
= $false )
| ( ( subpopulation @ SV87 @ SV22 @ SV59 )
= $false )
| ( ( in_environment @ SV22 @ SV59 )
= $false )
| ( ( environment @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(485,plain,
! [SV23: $i,SV60: $i,SV88: $i] :
( ( ( decreases @ ( cardinality_at_time @ SV88 @ SV60 ) )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV88 @ SV60 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV88 @ SV60 ) @ zero )
= $false )
| ( ( subpopulation @ SV88 @ SV23 @ SV60 )
= $false )
| ( ( in_environment @ SV23 @ SV60 )
= $false )
| ( ( environment @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(486,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[95,485,484,483,479,471,470,469,468,467,465,464,463,462,461,460,459,458,457,456,455,449,448,429,426,409,407,380,379,375,374,372,371,354,349,346,334,330,329,314,310,283,241,240,184,96]) ).
thf(487,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT035-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n009.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Oct 6 12:42:47 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.05/1.77
% 9.05/1.77 No.of.Axioms: 45
% 9.05/1.77
% 9.05/1.77 Length.of.Defs: 0
% 9.05/1.77
% 9.05/1.77 Contains.Choice.Funs: false
% 9.05/1.77 ............
% 9.05/1.77
% 9.05/1.77 ********************************
% 9.05/1.77 * All subproblems solved! *
% 9.05/1.77 ********************************
% 9.05/1.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:45,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:486,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.05/1.77
% 9.05/1.77 %**** Beginning of derivation protocol ****
% 9.05/1.77 % SZS output start CNFRefutation
% See solution above
% 9.05/1.77
% 9.05/1.77 %**** End of derivation protocol ****
% 9.05/1.77 %**** no. of clauses in derivation: 487 ****
% 9.05/1.77 %**** clause counter: 486 ****
% 9.05/1.77
% 9.05/1.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:45,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:486,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------