TSTP Solution File: MGT035+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:17:23 EDT 2022
% Result : Theorem 9.35s 9.57s
% Output : CNFRefutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 44
% Syntax : Number of formulae : 544 ( 258 unt; 24 typ; 0 def)
% Number of atoms : 4925 (1416 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 10089 (1700 ~;2099 |; 134 &;6092 @)
% ( 4 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 1585 ( 0 ^1575 !; 10 ?;1585 :)
% 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_E,type,
sK1_E: $i ).
thf(tp_sK2_SY51,type,
sK2_SY51: $i > $i ).
thf(tp_sK3_To,type,
sK3_To: $i > $i ).
thf(tp_sK4_T,type,
sK4_T: $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,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
=> ~ ( greater @ ( equilibrium @ E ) @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
thf(3,axiom,
! [E: $i,T1: $i,T2: $i] :
( ( ( in_environment @ E @ T1 )
& ( in_environment @ E @ T2 ) )
=> ( ( greater @ T2 @ T1 )
| ( T2 = T1 )
| ( greater @ T1 @ T2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
thf(5,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2) ).
thf(6,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1) ).
thf(7,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations) ).
thf(8,axiom,
! [X: $i,E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( ( constant @ ( cardinality_at_time @ X @ T ) )
=> ( ( growth_rate @ X @ T )
= zero ) )
& ( ( increases @ ( cardinality_at_time @ X @ T ) )
=> ( greater @ ( growth_rate @ X @ T ) @ zero ) )
& ( ( decreases @ ( cardinality_at_time @ X @ T ) )
=> ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A
= ( sum @ B @ C ) )
& ( constant @ A ) )
=> ( ( ( constant @ B )
& ( constant @ C ) )
| ( ( increases @ B )
& ( decreases @ C ) )
| ( ( decreases @ B )
& ( increases @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase) ).
thf(10,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_organisational) ).
thf(11,axiom,
! [E: $i,X: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ X @ E @ T )
& ( ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ) )
=> ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_only_members) ).
thf(12,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_not_empty) ).
thf(13,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_in_environment) ).
thf(14,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
thf(15,axiom,
! [E: $i,X: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11) ).
thf(16,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( number_of_organizations @ E @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7) ).
thf(17,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [T: $i] :
( ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
thf(18,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( number_of_organizations @ E @ T ) @ zero ) )
=> ( ( ( greater @ ( equilibrium @ E ) @ T )
=> ( decreases @ ( resources @ E @ T ) ) )
& ( ~ ( greater @ ( equilibrium @ E ) @ T )
=> ( constant @ ( resources @ E @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
thf(19,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
<=> ( outcompetes @ S2 @ S1 @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
thf(20,conjecture,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( outcompetes @ efficient_producers @ first_movers @ T ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4) ).
thf(21,negated_conjecture,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( outcompetes @ efficient_producers @ first_movers @ T ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( outcompetes @ efficient_producers @ first_movers @ T ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
=> ~ ( greater @ ( equilibrium @ E ) @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [E: $i,T1: $i,T2: $i] :
( ( ( in_environment @ E @ T1 )
& ( in_environment @ E @ T2 ) )
=> ( ( greater @ T2 @ T1 )
| ( T2 = T1 )
| ( greater @ T1 @ T2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [X: $i,E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( ( constant @ ( cardinality_at_time @ X @ T ) )
=> ( ( growth_rate @ X @ T )
= zero ) )
& ( ( increases @ ( cardinality_at_time @ X @ T ) )
=> ( greater @ ( growth_rate @ X @ T ) @ zero ) )
& ( ( decreases @ ( cardinality_at_time @ X @ T ) )
=> ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A
= ( sum @ B @ C ) )
& ( constant @ A ) )
=> ( ( ( constant @ B )
& ( constant @ C ) )
| ( ( increases @ B )
& ( decreases @ C ) )
| ( ( decreases @ B )
& ( increases @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(33,plain,
( ( ! [E: $i,X: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ X @ E @ T )
& ( ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ) )
=> ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(34,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(36,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [E: $i,X: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( number_of_organizations @ E @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [T: $i] :
( ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( number_of_organizations @ E @ T ) @ zero ) )
=> ( ( ( greater @ ( equilibrium @ E ) @ T )
=> ( decreases @ ( resources @ E @ T ) ) )
& ( ~ ( greater @ ( equilibrium @ E ) @ T )
=> ( constant @ ( resources @ E @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
<=> ( outcompetes @ S2 @ S1 @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(42,plain,
( ( ( ( environment @ sK1_E )
& ( stable @ sK1_E ) )
=> ? [SY50: $i] :
( ( in_environment @ sK1_E @ SY50 )
& ! [SY51: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ SY51 )
& ( greater_or_equal @ SY51 @ SY50 ) )
=> ( outcompetes @ efficient_producers @ first_movers @ SY51 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(43,plain,
( ( environment @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[42]) ).
thf(44,plain,
( ( stable @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[42]) ).
thf(45,plain,
( ( ? [SY50: $i] :
( ( in_environment @ sK1_E @ SY50 )
& ! [SY51: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ SY51 )
& ( greater_or_equal @ SY51 @ SY50 ) )
=> ( outcompetes @ efficient_producers @ first_movers @ SY51 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[42]) ).
thf(46,plain,
( ( ~ ? [SY50: $i] :
( ( in_environment @ sK1_E @ SY50 )
& ! [SY51: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ SY51 )
& ( greater_or_equal @ SY51 @ SY50 ) )
=> ( outcompetes @ efficient_producers @ first_movers @ SY51 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(47,plain,
( ( ! [SY50: $i] :
( ( ( greater_or_equal @ ( sK2_SY51 @ SY50 ) @ SY50 )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SY50 ) )
& ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SY50 ) ) )
| ~ ( in_environment @ sK1_E @ SY50 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(48,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater_or_equal @ T @ ( equilibrium @ E ) )
| ~ ( greater @ ( equilibrium @ E ) @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(50,plain,
( ( ! [E: $i,T1: $i,T2: $i] :
( ~ ( in_environment @ E @ T1 )
| ~ ( in_environment @ E @ T2 )
| ( greater @ T1 @ T2 )
| ( T2 = T1 )
| ( greater @ T2 @ T1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(53,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ~ ( greater @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(54,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(55,plain,
( ( ! [X: $i] :
( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ X @ T ) )
| ( ( growth_rate @ X @ T )
= zero ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ X @ T ) )
| ( greater @ ( growth_rate @ X @ T ) @ zero ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ X @ T ) )
| ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(56,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ B )
| ( decreases @ C ) )
& ! [B: $i] :
( ! [C: $i] :
( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ B )
| ( increases @ B ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ C )
| ( decreases @ C ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ C )
| ( increases @ B ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ B )
| ( decreases @ C ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ B )
| ( increases @ B ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ C )
| ( decreases @ C ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ C )
| ( increases @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(57,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ first_movers @ E @ T ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ efficient_producers @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(58,plain,
( ( ! [E: $i] :
( ! [X: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) )
& ! [X: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ( X != efficient_producers )
| ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) )
& ! [X: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ( X != first_movers )
| ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(59,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(60,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(61,plain,
( ( ! [E: $i] :
( ~ ( environment @ E )
| ~ ( stable @ E )
| ( ! [SY52: $i] :
( ~ ( greater_or_equal @ SY52 @ ( sK3_To @ E ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ SY52 )
| ( greater @ ( growth_rate @ efficient_producers @ SY52 ) @ ( growth_rate @ first_movers @ SY52 ) ) )
& ( in_environment @ E @ ( sK3_To @ E ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(62,plain,
( ( ! [E: $i,X: $i] :
( ! [T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
| ( X = efficient_producers )
| ( X = first_movers ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(63,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( decreases @ ( resources @ E @ T ) )
| ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( number_of_organizations @ E @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(64,plain,
( ( ! [E: $i] :
( ~ ( environment @ E )
| ~ ( stable @ E )
| ( ( greater_or_equal @ ( sK4_T @ E ) @ ( equilibrium @ E ) )
& ( in_environment @ E @ ( sK4_T @ E ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(65,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ~ ( greater @ ( equilibrium @ E ) @ T )
| ( decreases @ ( resources @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ( greater @ ( equilibrium @ E ) @ T )
| ( constant @ ( resources @ E @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(66,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
| ( outcompetes @ S2 @ S1 @ T ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(67,plain,
( ( ! [E: $i,S1: $i] :
( ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
| ( outcompetes @ S2 @ S1 @ T ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
& ! [S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ S1 @ S2 @ E @ T )
| ~ ( outcompetes @ S2 @ S1 @ T )
| ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(68,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ~ ( greater @ ( equilibrium @ E ) @ T )
| ( decreases @ ( resources @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ( greater @ ( equilibrium @ E ) @ T )
| ( constant @ ( resources @ E @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(69,plain,
( ( ! [E: $i] :
( ~ ( environment @ E )
| ~ ( stable @ E )
| ( ( greater_or_equal @ ( sK4_T @ E ) @ ( equilibrium @ E ) )
& ( in_environment @ E @ ( sK4_T @ E ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(70,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( decreases @ ( resources @ E @ T ) )
| ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( number_of_organizations @ E @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(71,plain,
( ( ! [E: $i,X: $i] :
( ! [T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
| ( X = efficient_producers )
| ( X = first_movers ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(72,plain,
( ( ! [E: $i] :
( ~ ( environment @ E )
| ~ ( stable @ E )
| ( ! [SY52: $i] :
( ~ ( greater_or_equal @ SY52 @ ( sK3_To @ E ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ SY52 )
| ( greater @ ( growth_rate @ efficient_producers @ SY52 ) @ ( growth_rate @ first_movers @ SY52 ) ) )
& ( in_environment @ E @ ( sK3_To @ E ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(73,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(74,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(75,plain,
( ( ! [E: $i] :
( ! [X: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) )
& ! [X: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ( X != efficient_producers )
| ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) )
& ! [X: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ( X != first_movers )
| ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(76,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ first_movers @ E @ T ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ efficient_producers @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(77,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ B )
| ( decreases @ C ) )
& ! [B: $i] :
( ! [C: $i] :
( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ B )
| ( increases @ B ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ C )
| ( decreases @ C ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( decreases @ B )
| ( constant @ C )
| ( increases @ B ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ B )
| ( decreases @ C ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ B )
| ( increases @ B ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ C )
| ( decreases @ C ) )
& ! [B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( increases @ C )
| ( constant @ C )
| ( increases @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(78,plain,
( ( ! [X: $i] :
( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ X @ T ) )
| ( ( growth_rate @ X @ T )
= zero ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ X @ T ) )
| ( greater @ ( growth_rate @ X @ T ) @ zero ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ X @ T ) )
| ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(79,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(80,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ~ ( greater @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(81,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(82,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(83,plain,
( ( ! [E: $i,T1: $i,T2: $i] :
( ~ ( in_environment @ E @ T1 )
| ~ ( in_environment @ E @ T2 )
| ( greater @ T1 @ T2 )
| ( T2 = T1 )
| ( greater @ T2 @ T1 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(84,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(85,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater_or_equal @ T @ ( equilibrium @ E ) )
| ~ ( greater @ ( equilibrium @ E ) @ T ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(86,plain,
( ( stable @ sK1_E )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(87,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(88,plain,
( ( ! [SY50: $i] :
( ( ( greater_or_equal @ ( sK2_SY51 @ SY50 ) @ SY50 )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SY50 ) )
& ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SY50 ) ) )
| ~ ( in_environment @ sK1_E @ SY50 ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(89,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ( greater_or_equal @ ( sK2_SY51 @ SX0 ) @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SX0 ) ) )
| ~ ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SX0 ) ) )
| ~ ( in_environment @ sK1_E @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(90,plain,
( ( ! [SX0: $i] :
( ~ ( environment @ SX0 )
| ~ ( stable @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( greater_or_equal @ SX1 @ ( sK3_To @ SX0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( growth_rate @ efficient_producers @ SX1 ) @ ( growth_rate @ first_movers @ SX1 ) ) )
| ~ ( in_environment @ SX0 @ ( sK3_To @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(91,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulation @ SX1 @ SX0 @ SX2 )
| ( greater @ ( cardinality_at_time @ SX1 @ SX2 ) @ zero )
| ( ( number_of_organizations @ SX0 @ SX2 )
= ( sum @ ( cardinality_at_time @ first_movers @ SX2 ) @ ( cardinality_at_time @ efficient_producers @ SX2 ) ) ) )
| ~ ~ ( ~ ! [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 ) ) ) )
| ~ ! [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)],[75]) ).
thf(92,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(93,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SX2 @ SX3 ) @ zero )
| ( outcompetes @ SX2 @ SX1 @ SX3 ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( outcompetes @ SX2 @ SX1 @ SX3 )
| ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
| ~ ( outcompetes @ SX2 @ SX1 @ SX3 )
| ( greater_or_equal @ ( growth_rate @ SX2 @ SX3 ) @ zero ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(94,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(95,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(96,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(97,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( decreases @ SX1 )
| ( constant @ SX1 )
| ( decreases @ SX2 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( decreases @ SX1 )
| ( constant @ SX1 )
| ( increases @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( decreases @ SX1 )
| ( constant @ SX2 )
| ( decreases @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( decreases @ SX1 )
| ( constant @ SX2 )
| ( increases @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( increases @ SX2 )
| ( constant @ SX1 )
| ( decreases @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( increases @ SX2 )
| ( constant @ SX1 )
| ( increases @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( increases @ SX2 )
| ( constant @ SX2 )
| ( decreases @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( constant @ SX0 )
| ( increases @ SX2 )
| ( constant @ SX2 )
| ( increases @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(98,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( environment @ SX1 )
| ~ ( in_environment @ SX1 @ SX2 )
| ~ ( subpopulation @ SX0 @ SX1 @ SX2 )
| ~ ( greater @ ( cardinality_at_time @ SX0 @ SX2 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SX0 @ SX2 ) )
| ( ( growth_rate @ SX0 @ SX2 )
= zero ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( environment @ SX1 )
| ~ ( in_environment @ SX1 @ SX2 )
| ~ ( subpopulation @ SX0 @ SX1 @ SX2 )
| ~ ( greater @ ( cardinality_at_time @ SX0 @ SX2 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SX0 @ SX2 ) )
| ( greater @ ( growth_rate @ SX0 @ SX2 ) @ zero ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( environment @ SX1 )
| ~ ( in_environment @ SX1 @ SX2 )
| ~ ( subpopulation @ SX0 @ SX1 @ SX2 )
| ~ ( greater @ ( cardinality_at_time @ SX0 @ SX2 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SX0 @ SX2 ) )
| ( greater @ zero @ ( growth_rate @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(99,plain,
( ( ! [SX0: $i] :
( ~ ( environment @ SX0 )
| ~ ( stable @ SX0 )
| ~ ( ~ ( greater_or_equal @ ( sK4_T @ SX0 ) @ ( equilibrium @ SX0 ) )
| ~ ( in_environment @ SX0 @ ( sK4_T @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(100,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ first_movers @ SX1 ) @ zero ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SX1 ) @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(101,plain,
! [SV1: $i] :
( ( ! [SY53: $i] :
( ! [SY54: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SY53 @ SV1 @ SY54 )
| ~ ( greater @ ( cardinality_at_time @ SY53 @ SY54 ) @ zero ) )
| ( SY53 = efficient_producers )
| ( SY53 = first_movers ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(102,plain,
! [SV2: $i] :
( ( ! [SY55: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY55 )
| ( in_environment @ SV2 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(103,plain,
! [SV3: $i] :
( ( ! [SY56: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SY56 )
| ( greater @ ( number_of_organizations @ SV3 @ SY56 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(104,plain,
! [SV4: $i] :
( ( ! [SY57: $i] :
( ( SV4 != SY57 )
| ~ ( greater @ SV4 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(105,plain,
! [SV5: $i] :
( ( ! [SY58: $i] :
( ~ ( greater @ SV5 @ SY58 )
| ~ ( greater @ SY58 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(106,plain,
! [SV6: $i] :
( ( ! [SY59: $i,SY60: $i] :
( ~ ( greater @ SV6 @ SY59 )
| ~ ( greater @ SY59 @ SY60 )
| ( greater @ SV6 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(107,plain,
! [SV7: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ( in_environment @ SV7 @ SY61 )
| ~ ( in_environment @ SV7 @ SY62 )
| ( greater @ SY61 @ SY62 )
| ( SY62 = SY61 )
| ( greater @ SY62 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(108,plain,
! [SV8: $i] :
( ( ! [SY63: $i] :
( ~ ( environment @ SV8 )
| ~ ( greater_or_equal @ SY63 @ ( equilibrium @ SV8 ) )
| ~ ( greater @ ( equilibrium @ SV8 ) @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(109,plain,
! [SV9: $i] :
( ( ~ ( ~ ~ ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) )
| ~ ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) ) )
| ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(110,plain,
! [SV10: $i] :
( ( ~ ( environment @ SV10 )
| ~ ( stable @ SV10 )
| ~ ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) )
| ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(111,plain,
! [SV11: $i] :
( ( ~ ( ~ ! [SY65: $i,SY66: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY65 @ SV11 @ SY66 )
| ( greater @ ( cardinality_at_time @ SY65 @ SY66 ) @ zero )
| ( ( number_of_organizations @ SV11 @ SY66 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY66 ) @ ( cardinality_at_time @ efficient_producers @ SY66 ) ) ) )
| ~ ~ ( ~ ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(112,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(113,plain,
! [SV12: $i] :
( ( ! [SY71: $i] :
~ ( ~ ! [SY72: $i,SY73: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SY71 @ SY72 @ SV12 @ SY73 )
| ~ ( greater @ zero @ ( growth_rate @ SY71 @ SY73 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY72 @ SY73 ) @ zero )
| ( outcompetes @ SY72 @ SY71 @ SY73 ) )
| ~ ~ ( ~ ! [SY74: $i,SY75: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SY71 @ SY74 @ SV12 @ SY75 )
| ~ ( outcompetes @ SY74 @ SY71 @ SY75 )
| ( greater @ zero @ ( growth_rate @ SY71 @ SY75 ) ) )
| ~ ! [SY76: $i,SY77: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SY71 @ SY76 @ SV12 @ SY77 )
| ~ ( outcompetes @ SY76 @ SY71 @ SY77 )
| ( greater_or_equal @ ( growth_rate @ SY76 @ SY77 ) @ zero ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(114,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(115,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(116,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(117,plain,
! [SV13: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
| ~ ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(118,plain,
! [SV14: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) )
| ~ ! [SY98: $i,SY99: $i] :
( ~ ( environment @ SY98 )
| ~ ( in_environment @ SY98 @ SY99 )
| ~ ( subpopulation @ SV14 @ SY98 @ SY99 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY99 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV14 @ SY99 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SY99 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(119,plain,
! [SV15: $i] :
( ( ~ ( environment @ SV15 )
| ~ ( stable @ SV15 )
| ~ ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
| ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(120,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ first_movers @ SX1 ) @ zero ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SX1 ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(121,plain,
! [SV16: $i,SV1: $i] :
( ( ! [SY100: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV16 @ SV1 @ SY100 )
| ~ ( greater @ ( cardinality_at_time @ SV16 @ SY100 ) @ zero ) )
| ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(122,plain,
! [SV17: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV17 )
| ( in_environment @ SV2 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(123,plain,
! [SV18: $i,SV3: $i] :
( ( ~ ( environment @ SV3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV18 )
| ( greater @ ( number_of_organizations @ SV3 @ SV18 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(124,plain,
! [SV19: $i,SV4: $i] :
( ( ( SV4 != SV19 )
| ~ ( greater @ SV4 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(125,plain,
! [SV20: $i,SV5: $i] :
( ( ~ ( greater @ SV5 @ SV20 )
| ~ ( greater @ SV20 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV21: $i,SV6: $i] :
( ( ! [SY101: $i] :
( ~ ( greater @ SV6 @ SV21 )
| ~ ( greater @ SV21 @ SY101 )
| ( greater @ SV6 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(127,plain,
! [SV22: $i,SV7: $i] :
( ( ! [SY102: $i] :
( ~ ( in_environment @ SV7 @ SV22 )
| ~ ( in_environment @ SV7 @ SY102 )
| ( greater @ SV22 @ SY102 )
| ( SY102 = SV22 )
| ( greater @ SY102 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV23: $i,SV8: $i] :
( ( ~ ( environment @ SV8 )
| ~ ( greater_or_equal @ SV23 @ ( equilibrium @ SV8 ) )
| ~ ( greater @ ( equilibrium @ SV8 ) @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(129,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) )
| ~ ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) ) ) )
= $true )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV10: $i] :
( ( ( ~ ( environment @ SV10 )
| ~ ( stable @ SV10 ) )
= $true )
| ( ( ~ ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) )
| ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV11: $i] :
( ( ~ ! [SY65: $i,SY66: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY65 @ SV11 @ SY66 )
| ( greater @ ( cardinality_at_time @ SY65 @ SY66 ) @ zero )
| ( ( number_of_organizations @ SV11 @ SY66 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY66 ) @ ( cardinality_at_time @ efficient_producers @ SY66 ) ) ) )
| ~ ~ ( ~ ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(132,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(133,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(134,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ( ~ ! [SY103: $i,SY104: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY103 @ SV12 @ SY104 )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY104 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY103 @ SY104 ) @ zero )
| ( outcompetes @ SY103 @ SV24 @ SY104 ) )
| ~ ~ ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) )
| ~ ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(135,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(136,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(137,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(138,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(139,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(140,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(141,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
| ~ ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(142,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) )
| ~ ! [SY98: $i,SY99: $i] :
( ~ ( environment @ SY98 )
| ~ ( in_environment @ SY98 @ SY99 )
| ~ ( subpopulation @ SV14 @ SY98 @ SY99 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY99 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV14 @ SY99 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SY99 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV15: $i] :
( ( ( ~ ( environment @ SV15 )
| ~ ( stable @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
| ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(144,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ first_movers @ SX1 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(145,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SX1 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(146,plain,
! [SV16: $i,SV1: $i] :
( ( ( ! [SY100: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV16 @ SV1 @ SY100 )
| ~ ( greater @ ( cardinality_at_time @ SV16 @ SY100 ) @ zero ) ) )
= $true )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(147,plain,
! [SV17: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV17 ) )
= $true )
| ( ( in_environment @ SV2 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(148,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV18 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV3 @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(149,plain,
! [SV19: $i,SV4: $i] :
( ( ( ( SV4 != SV19 ) )
= $true )
| ( ( ~ ( greater @ SV4 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(150,plain,
! [SV20: $i,SV5: $i] :
( ( ( ~ ( greater @ SV5 @ SV20 ) )
= $true )
| ( ( ~ ( greater @ SV20 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(151,plain,
! [SV25: $i,SV21: $i,SV6: $i] :
( ( ~ ( greater @ SV6 @ SV21 )
| ~ ( greater @ SV21 @ SV25 )
| ( greater @ SV6 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(152,plain,
! [SV26: $i,SV22: $i,SV7: $i] :
( ( ~ ( in_environment @ SV7 @ SV22 )
| ~ ( in_environment @ SV7 @ SV26 )
| ( greater @ SV22 @ SV26 )
| ( SV26 = SV22 )
| ( greater @ SV26 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(153,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( environment @ SV8 )
| ~ ( greater_or_equal @ SV23 @ ( equilibrium @ SV8 ) ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV8 ) @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(154,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) )
| ~ ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(155,plain,
! [SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ~ ( stable @ SV10 ) )
= $true )
| ( ( ~ ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) )
| ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(156,plain,
! [SV11: $i] :
( ( ~ ! [SY65: $i,SY66: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY65 @ SV11 @ SY66 )
| ( greater @ ( cardinality_at_time @ SY65 @ SY66 ) @ zero )
| ( ( number_of_organizations @ SV11 @ SY66 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY66 ) @ ( cardinality_at_time @ efficient_producers @ SY66 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(157,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(158,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(159,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(160,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ! [SY103: $i,SY104: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY103 @ SV12 @ SY104 )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY104 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY103 @ SY104 ) @ zero )
| ( outcompetes @ SY103 @ SV24 @ SY104 ) )
| ~ ~ ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) )
| ~ ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(161,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(162,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(163,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(164,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(165,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(166,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(167,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
| ~ ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(168,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(169,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(170,plain,
! [SV14: $i] :
( ( ~ ! [SY98: $i,SY99: $i] :
( ~ ( environment @ SY98 )
| ~ ( in_environment @ SY98 @ SY99 )
| ~ ( subpopulation @ SV14 @ SY98 @ SY99 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY99 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV14 @ SY99 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SY99 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(171,plain,
! [SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( ~ ( stable @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
| ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(172,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ first_movers @ SX1 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SX0 @ SX1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SX1 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(174,plain,
! [SV27: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV16 @ SV1 @ SV27 )
| ~ ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero ) )
= $true )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(175,plain,
! [SV17: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV17 ) )
= $true )
| ( ( in_environment @ SV2 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(176,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV18 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV3 @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(177,plain,
! [SV19: $i,SV4: $i] :
( ( ( SV4 = SV19 )
= $false )
| ( ( ~ ( greater @ SV4 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(178,plain,
! [SV20: $i,SV5: $i] :
( ( ( greater @ SV5 @ SV20 )
= $false )
| ( ( ~ ( greater @ SV20 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(179,plain,
! [SV25: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( greater @ SV6 @ SV21 )
| ~ ( greater @ SV21 @ SV25 ) )
= $true )
| ( ( greater @ SV6 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(180,plain,
! [SV26: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( in_environment @ SV7 @ SV22 )
| ~ ( in_environment @ SV7 @ SV26 ) )
= $true )
| ( ( ( greater @ SV22 @ SV26 )
| ( SV26 = SV22 )
| ( greater @ SV26 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(181,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV23 @ ( equilibrium @ SV8 ) ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV8 ) @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(182,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(183,plain,
! [SV9: $i] :
( ( ( ~ ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(184,plain,
! [SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ~ ( stable @ SV10 ) )
= $true )
| ( ( ~ ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) )
| ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(185,plain,
! [SV11: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY65 @ SV11 @ SY66 )
| ( greater @ ( cardinality_at_time @ SY65 @ SY66 ) @ zero )
| ( ( number_of_organizations @ SV11 @ SY66 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY66 ) @ ( cardinality_at_time @ efficient_producers @ SY66 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(186,plain,
! [SV11: $i] :
( ( ~ ( ~ ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(187,plain,
! [SV28: $i] :
( ( ! [SY109: $i] :
( ~ ( greater_or_equal @ SV28 @ SY109 )
| ( SV28 = SY109 )
| ( greater @ SV28 @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(188,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(189,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ! [SY103: $i,SY104: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY103 @ SV12 @ SY104 )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY104 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY103 @ SY104 ) @ zero )
| ( outcompetes @ SY103 @ SV24 @ SY104 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(190,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ~ ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) )
| ~ ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(191,plain,
! [SV29: $i] :
( ( ! [SY110: $i] :
( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SY110 )
| ~ ( greater @ ( number_of_organizations @ SV29 @ SY110 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV29 ) @ SY110 )
| ( decreases @ ( resources @ SV29 @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(192,plain,
! [SV30: $i] :
( ( ! [SY111: $i] :
( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SY111 )
| ~ ( greater @ ( number_of_organizations @ SV30 @ SY111 ) @ zero )
| ( greater @ ( equilibrium @ SV30 ) @ SY111 )
| ( constant @ ( resources @ SV30 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(193,plain,
! [SV31: $i] :
( ( ! [SY112: $i] :
( ~ ( environment @ SV31 )
| ~ ( in_environment @ SV31 @ SY112 )
| ( subpopulation @ first_movers @ SV31 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(194,plain,
! [SV32: $i] :
( ( ! [SY113: $i] :
( ~ ( environment @ SV32 )
| ~ ( in_environment @ SV32 @ SY113 )
| ( subpopulation @ efficient_producers @ SV32 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(195,plain,
! [SV33: $i] :
( ( ! [SY114: $i] :
( ~ ( environment @ SV33 )
| ~ ( in_environment @ SV33 @ SY114 )
| ~ ( decreases @ ( resources @ SV33 @ SY114 ) )
| ~ ( decreases @ ( number_of_organizations @ SV33 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(196,plain,
! [SV34: $i] :
( ( ! [SY115: $i] :
( ~ ( environment @ SV34 )
| ~ ( in_environment @ SV34 @ SY115 )
| ~ ( constant @ ( resources @ SV34 @ SY115 ) )
| ( constant @ ( number_of_organizations @ SV34 @ SY115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(197,plain,
! [SV13: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
| ~ ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(198,plain,
! [SV13: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(199,plain,
! [SV14: $i] :
( ( ~ ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(200,plain,
! [SV14: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ~ ( environment @ SY98 )
| ~ ( in_environment @ SY98 @ SY99 )
| ~ ( subpopulation @ SV14 @ SY98 @ SY99 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY99 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV14 @ SY99 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SY99 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(201,plain,
! [SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( ~ ( stable @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
| ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(202,plain,
! [SV35: $i] :
( ( ! [SY116: $i] :
( ~ ( environment @ SV35 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV35 @ SY116 )
| ( greater @ ( cardinality_at_time @ first_movers @ SY116 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(203,plain,
! [SV36: $i] :
( ( ! [SY117: $i] :
( ~ ( environment @ SV36 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV36 @ SY117 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY117 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(204,plain,
! [SV27: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV16 @ SV1 @ SV27 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero ) )
= $true )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(205,plain,
! [SV17: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV17 ) )
= $true )
| ( ( in_environment @ SV2 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(206,plain,
! [SV18: $i,SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV18 ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV3 @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(207,plain,
! [SV19: $i,SV4: $i] :
( ( ( greater @ SV4 @ SV19 )
= $false )
| ( ( SV4 = SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(208,plain,
! [SV5: $i,SV20: $i] :
( ( ( greater @ SV20 @ SV5 )
= $false )
| ( ( greater @ SV5 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(209,plain,
! [SV25: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( greater @ SV6 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV21 @ SV25 ) )
= $true )
| ( ( greater @ SV6 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(210,plain,
! [SV26: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( in_environment @ SV7 @ SV22 ) )
= $true )
| ( ( ~ ( in_environment @ SV7 @ SV26 ) )
= $true )
| ( ( ( greater @ SV22 @ SV26 )
| ( SV26 = SV22 )
| ( greater @ SV26 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(211,plain,
! [SV23: $i,SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( ~ ( greater_or_equal @ SV23 @ ( equilibrium @ SV8 ) ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV8 ) @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(212,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) ) )
= $true )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(213,plain,
! [SV9: $i] :
( ( ( ~ ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) ) )
= $true )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(214,plain,
! [SV10: $i] :
( ( ( stable @ SV10 )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ~ ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) )
| ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(215,plain,
! [SV37: $i,SV11: $i] :
( ( ! [SY118: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV37 @ SV11 @ SY118 )
| ( greater @ ( cardinality_at_time @ SV37 @ SY118 ) @ zero )
| ( ( number_of_organizations @ SV11 @ SY118 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY118 ) @ ( cardinality_at_time @ efficient_producers @ SY118 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(216,plain,
! [SV11: $i] :
( ( ~ ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) )
| ~ ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(217,plain,
! [SV38: $i,SV28: $i] :
( ( ~ ( greater_or_equal @ SV28 @ SV38 )
| ( SV28 = SV38 )
| ( greater @ SV28 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(218,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(219,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(220,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY103: $i,SY104: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY103 @ SV12 @ SY104 )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY104 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SY103 @ SY104 ) @ zero )
| ( outcompetes @ SY103 @ SV24 @ SY104 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(221,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) )
| ~ ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(222,plain,
! [SV39: $i,SV29: $i] :
( ( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SV39 )
| ~ ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(223,plain,
! [SV40: $i,SV30: $i] :
( ( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SV40 )
| ~ ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero )
| ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(224,plain,
! [SV41: $i,SV31: $i] :
( ( ~ ( environment @ SV31 )
| ~ ( in_environment @ SV31 @ SV41 )
| ( subpopulation @ first_movers @ SV31 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(225,plain,
! [SV42: $i,SV32: $i] :
( ( ~ ( environment @ SV32 )
| ~ ( in_environment @ SV32 @ SV42 )
| ( subpopulation @ efficient_producers @ SV32 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(226,plain,
! [SV43: $i,SV33: $i] :
( ( ~ ( environment @ SV33 )
| ~ ( in_environment @ SV33 @ SV43 )
| ~ ( decreases @ ( resources @ SV33 @ SV43 ) )
| ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(227,plain,
! [SV44: $i,SV34: $i] :
( ( ~ ( environment @ SV34 )
| ~ ( in_environment @ SV34 @ SV44 )
| ~ ( constant @ ( resources @ SV34 @ SV44 ) )
| ( constant @ ( number_of_organizations @ SV34 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(228,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
| ~ ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(229,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(230,plain,
! [SV14: $i] :
( ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(231,plain,
! [SV14: $i,SV45: $i] :
( ( ! [SY119: $i] :
( ~ ( environment @ SV45 )
| ~ ( in_environment @ SV45 @ SY119 )
| ~ ( subpopulation @ SV14 @ SV45 @ SY119 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY119 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV14 @ SY119 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SY119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(232,plain,
! [SV15: $i] :
( ( ( stable @ SV15 )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( ~ ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
| ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(233,plain,
! [SV46: $i,SV35: $i] :
( ( ~ ( environment @ SV35 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV35 @ SV46 )
| ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(234,plain,
! [SV47: $i,SV36: $i] :
( ( ~ ( environment @ SV36 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV36 @ SV47 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(235,plain,
! [SV27: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( subpopulation @ SV16 @ SV1 @ SV27 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero ) )
= $true )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(236,plain,
! [SV17: $i,SV2: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV17 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( in_environment @ SV2 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(237,plain,
! [SV18: $i,SV3: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV3 @ SV18 )
= $false )
| ( ( environment @ SV3 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV3 @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(238,plain,
! [SV25: $i,SV21: $i,SV6: $i] :
( ( ( greater @ SV6 @ SV21 )
= $false )
| ( ( ~ ( greater @ SV21 @ SV25 ) )
= $true )
| ( ( greater @ SV6 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(239,plain,
! [SV26: $i,SV22: $i,SV7: $i] :
( ( ( in_environment @ SV7 @ SV22 )
= $false )
| ( ( ~ ( in_environment @ SV7 @ SV26 ) )
= $true )
| ( ( ( greater @ SV22 @ SV26 )
| ( SV26 = SV22 )
| ( greater @ SV26 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(240,plain,
! [SV8: $i,SV23: $i] :
( ( ( greater_or_equal @ SV23 @ ( equilibrium @ SV8 ) )
= $false )
| ( ( environment @ SV8 )
= $false )
| ( ( ~ ( greater @ ( equilibrium @ SV8 ) @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(241,plain,
! [SV9: $i] :
( ( ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(242,plain,
! [SV9: $i] :
( ( ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(243,plain,
! [SV10: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) )
| ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(244,plain,
! [SV48: $i,SV37: $i,SV11: $i] :
( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV37 @ SV11 @ SV48 )
| ( greater @ ( cardinality_at_time @ SV37 @ SV48 ) @ zero )
| ( ( number_of_organizations @ SV11 @ SV48 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV48 ) @ ( cardinality_at_time @ efficient_producers @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(245,plain,
! [SV11: $i] :
( ( ~ ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(246,plain,
! [SV11: $i] :
( ( ~ ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(247,plain,
! [SV38: $i,SV28: $i] :
( ( ( ~ ( greater_or_equal @ SV28 @ SV38 ) )
= $true )
| ( ( ( SV28 = SV38 )
| ( greater @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(248,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(249,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(250,plain,
! [SV49: $i,SV24: $i,SV12: $i] :
( ( ! [SY120: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV49 @ SV12 @ SY120 )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY120 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SY120 ) @ zero )
| ( outcompetes @ SV49 @ SV24 @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(251,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) )
| ~ ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(252,plain,
! [SV39: $i,SV29: $i] :
( ( ( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SV39 )
| ~ ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(253,plain,
! [SV40: $i,SV30: $i] :
( ( ( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SV40 )
| ~ ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(254,plain,
! [SV41: $i,SV31: $i] :
( ( ( ~ ( environment @ SV31 )
| ~ ( in_environment @ SV31 @ SV41 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(255,plain,
! [SV42: $i,SV32: $i] :
( ( ( ~ ( environment @ SV32 )
| ~ ( in_environment @ SV32 @ SV42 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV32 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(256,plain,
! [SV43: $i,SV33: $i] :
( ( ( ~ ( environment @ SV33 )
| ~ ( in_environment @ SV33 @ SV43 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV33 @ SV43 ) )
| ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(257,plain,
! [SV44: $i,SV34: $i] :
( ( ( ~ ( environment @ SV34 )
| ~ ( in_environment @ SV34 @ SV44 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV34 @ SV44 ) )
| ( constant @ ( number_of_organizations @ SV34 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(258,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(259,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(260,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(261,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(262,plain,
! [SV14: $i] :
( ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(263,plain,
! [SV14: $i] :
( ( ~ ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(264,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ~ ( environment @ SV45 )
| ~ ( in_environment @ SV45 @ SV50 )
| ~ ( subpopulation @ SV14 @ SV45 @ SV50 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(265,plain,
! [SV15: $i] :
( ( ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
| ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( stable @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(266,plain,
! [SV46: $i,SV35: $i] :
( ( ( ~ ( environment @ SV35 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV35 @ SV46 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(267,plain,
! [SV47: $i,SV36: $i] :
( ( ( ~ ( environment @ SV36 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV36 @ SV47 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(268,plain,
! [SV27: $i,SV16: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( subpopulation @ SV16 @ SV1 @ SV27 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero ) )
= $true )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(269,plain,
! [SV6: $i,SV25: $i,SV21: $i] :
( ( ( greater @ SV21 @ SV25 )
= $false )
| ( ( greater @ SV6 @ SV21 )
= $false )
| ( ( greater @ SV6 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(270,plain,
! [SV22: $i,SV26: $i,SV7: $i] :
( ( ( in_environment @ SV7 @ SV26 )
= $false )
| ( ( in_environment @ SV7 @ SV22 )
= $false )
| ( ( ( greater @ SV22 @ SV26 )
| ( SV26 = SV22 )
| ( greater @ SV26 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(271,plain,
! [SV23: $i,SV8: $i] :
( ( ( greater @ ( equilibrium @ SV8 ) @ SV23 )
= $false )
| ( ( environment @ SV8 )
= $false )
| ( ( greater_or_equal @ SV23 @ ( equilibrium @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(272,plain,
! [SV9: $i] :
( ( ( ~ ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(273,plain,
! [SV9: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) ) )
= $false )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(274,plain,
! [SV9: $i] :
( ( ( in_environment @ sK1_E @ SV9 )
= $false )
| ( ( outcompetes @ efficient_producers @ first_movers @ ( sK2_SY51 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(275,plain,
! [SV10: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(276,plain,
! [SV10: $i] :
( ( ( ~ ( in_environment @ SV10 @ ( sK3_To @ SV10 ) ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(277,plain,
! [SV48: $i,SV37: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV37 @ SV11 @ SV48 )
| ( greater @ ( cardinality_at_time @ SV37 @ SV48 ) @ zero ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV48 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV48 ) @ ( cardinality_at_time @ efficient_producers @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(278,plain,
! [SV11: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY67 @ SV11 @ SY68 )
| ( SY67 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY68 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY68 ) @ ( cardinality_at_time @ efficient_producers @ SY68 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(279,plain,
! [SV11: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SY69 @ SV11 @ SY70 )
| ( SY69 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY70 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY70 ) @ ( cardinality_at_time @ efficient_producers @ SY70 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(280,plain,
! [SV38: $i,SV28: $i] :
( ( ( greater_or_equal @ SV28 @ SV38 )
= $false )
| ( ( ( SV28 = SV38 )
| ( greater @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(281,plain,
! [SV51: $i] :
( ( ! [SY121: $i] :
( ( SV51 != SY121 )
| ( greater_or_equal @ SV51 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(282,plain,
! [SV52: $i] :
( ( ! [SY122: $i] :
( ~ ( greater @ SV52 @ SY122 )
| ( greater_or_equal @ SV52 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(283,plain,
! [SV53: $i,SV49: $i,SV24: $i,SV12: $i] :
( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero )
| ( outcompetes @ SV49 @ SV24 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(284,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(285,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(286,plain,
! [SV39: $i,SV29: $i] :
( ( ( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(287,plain,
! [SV40: $i,SV30: $i] :
( ( ( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SV40 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(288,plain,
! [SV41: $i,SV31: $i] :
( ( ( ~ ( environment @ SV31 ) )
= $true )
| ( ( ~ ( in_environment @ SV31 @ SV41 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(289,plain,
! [SV42: $i,SV32: $i] :
( ( ( ~ ( environment @ SV32 ) )
= $true )
| ( ( ~ ( in_environment @ SV32 @ SV42 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV32 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(290,plain,
! [SV43: $i,SV33: $i] :
( ( ( ~ ( environment @ SV33 ) )
= $true )
| ( ( ~ ( in_environment @ SV33 @ SV43 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV33 @ SV43 ) )
| ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(291,plain,
! [SV44: $i,SV34: $i] :
( ( ( ~ ( environment @ SV34 ) )
= $true )
| ( ( ~ ( in_environment @ SV34 @ SV44 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV34 @ SV44 ) )
| ( constant @ ( number_of_organizations @ SV34 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(292,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(293,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(294,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(295,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(296,plain,
! [SV14: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ~ ( environment @ SY94 )
| ~ ( in_environment @ SY94 @ SY95 )
| ~ ( subpopulation @ SV14 @ SY94 @ SY95 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY95 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY95 ) )
| ( ( growth_rate @ SV14 @ SY95 )
= zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(297,plain,
! [SV14: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ~ ( environment @ SY96 )
| ~ ( in_environment @ SY96 @ SY97 )
| ~ ( subpopulation @ SV14 @ SY96 @ SY97 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY97 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY97 ) )
| ( greater @ ( growth_rate @ SV14 @ SY97 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(298,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ( ~ ( environment @ SV45 )
| ~ ( in_environment @ SV45 @ SV50 )
| ~ ( subpopulation @ SV14 @ SV45 @ SV50 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(299,plain,
! [SV15: $i] :
( ( ( ~ ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) ) )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( stable @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(300,plain,
! [SV15: $i] :
( ( ( ~ ( in_environment @ SV15 @ ( sK4_T @ SV15 ) ) )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( stable @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(301,plain,
! [SV46: $i,SV35: $i] :
( ( ( ~ ( environment @ SV35 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV35 @ SV46 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(302,plain,
! [SV47: $i,SV36: $i] :
( ( ( ~ ( environment @ SV36 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV36 @ SV47 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(303,plain,
! [SV27: $i,SV1: $i,SV16: $i] :
( ( ( subpopulation @ SV16 @ SV1 @ SV27 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero ) )
= $true )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(304,plain,
! [SV7: $i,SV26: $i,SV22: $i] :
( ( ( greater @ SV22 @ SV26 )
= $true )
| ( ( ( SV26 = SV22 )
| ( greater @ SV26 @ SV22 ) )
= $true )
| ( ( in_environment @ SV7 @ SV22 )
= $false )
| ( ( in_environment @ SV7 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(305,plain,
! [SV9: $i] :
( ( ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
= $true )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(306,plain,
! [SV9: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) )
= $true )
| ( ( ~ ( in_environment @ sK1_E @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(307,plain,
! [SV10: $i] :
( ( ( ! [SY64: $i] :
( ~ ( greater_or_equal @ SY64 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY64 )
| ( greater @ ( growth_rate @ efficient_producers @ SY64 ) @ ( growth_rate @ first_movers @ SY64 ) ) ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(308,plain,
! [SV10: $i] :
( ( ( in_environment @ SV10 @ ( sK3_To @ SV10 ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(309,plain,
! [SV48: $i,SV37: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV37 @ SV11 @ SV48 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV37 @ SV48 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV48 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV48 ) @ ( cardinality_at_time @ efficient_producers @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(310,plain,
! [SV54: $i,SV11: $i] :
( ( ! [SY123: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV54 @ SV11 @ SY123 )
| ( SV54 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SY123 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY123 ) @ ( cardinality_at_time @ efficient_producers @ SY123 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(311,plain,
! [SV55: $i,SV11: $i] :
( ( ! [SY124: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV55 @ SV11 @ SY124 )
| ( SV55 != first_movers )
| ( ( number_of_organizations @ SV11 @ SY124 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY124 ) @ ( cardinality_at_time @ efficient_producers @ SY124 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(312,plain,
! [SV38: $i,SV28: $i] :
( ( ( SV28 = SV38 )
= $true )
| ( ( greater @ SV28 @ SV38 )
= $true )
| ( ( greater_or_equal @ SV28 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(313,plain,
! [SV56: $i,SV51: $i] :
( ( ( SV51 != SV56 )
| ( greater_or_equal @ SV51 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(314,plain,
! [SV57: $i,SV52: $i] :
( ( ~ ( greater @ SV52 @ SV57 )
| ( greater_or_equal @ SV52 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(315,plain,
! [SV53: $i,SV49: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero )
| ( outcompetes @ SV49 @ SV24 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(316,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY105 @ SV12 @ SY106 )
| ~ ( outcompetes @ SY105 @ SV24 @ SY106 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY106 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(317,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SY107 @ SV12 @ SY108 )
| ~ ( outcompetes @ SY107 @ SV24 @ SY108 )
| ( greater_or_equal @ ( growth_rate @ SY107 @ SY108 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(318,plain,
! [SV39: $i,SV29: $i] :
( ( ( ~ ( environment @ SV29 ) )
= $true )
| ( ( ~ ( in_environment @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(319,plain,
! [SV40: $i,SV30: $i] :
( ( ( ~ ( environment @ SV30 ) )
= $true )
| ( ( ~ ( in_environment @ SV30 @ SV40 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(320,plain,
! [SV41: $i,SV31: $i] :
( ( ( environment @ SV31 )
= $false )
| ( ( ~ ( in_environment @ SV31 @ SV41 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(321,plain,
! [SV42: $i,SV32: $i] :
( ( ( environment @ SV32 )
= $false )
| ( ( ~ ( in_environment @ SV32 @ SV42 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV32 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(322,plain,
! [SV43: $i,SV33: $i] :
( ( ( environment @ SV33 )
= $false )
| ( ( ~ ( in_environment @ SV33 @ SV43 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV33 @ SV43 ) )
| ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(323,plain,
! [SV44: $i,SV34: $i] :
( ( ( environment @ SV34 )
= $false )
| ( ( ~ ( in_environment @ SV34 @ SV44 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV34 @ SV44 ) )
| ( constant @ ( number_of_organizations @ SV34 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(324,plain,
! [SV13: $i] :
( ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) )
| ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(325,plain,
! [SV13: $i] :
( ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) )
| ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(326,plain,
! [SV13: $i] :
( ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) )
| ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(327,plain,
! [SV13: $i] :
( ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(328,plain,
! [SV14: $i,SV58: $i] :
( ( ! [SY125: $i] :
( ~ ( environment @ SV58 )
| ~ ( in_environment @ SV58 @ SY125 )
| ~ ( subpopulation @ SV14 @ SV58 @ SY125 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY125 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SY125 ) )
| ( ( growth_rate @ SV14 @ SY125 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(329,plain,
! [SV14: $i,SV59: $i] :
( ( ! [SY126: $i] :
( ~ ( environment @ SV59 )
| ~ ( in_environment @ SV59 @ SY126 )
| ~ ( subpopulation @ SV14 @ SV59 @ SY126 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY126 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SY126 ) )
| ( greater @ ( growth_rate @ SV14 @ SY126 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(330,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ( ~ ( environment @ SV45 )
| ~ ( in_environment @ SV45 @ SV50 )
| ~ ( subpopulation @ SV14 @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(331,plain,
! [SV15: $i] :
( ( ( greater_or_equal @ ( sK4_T @ SV15 ) @ ( equilibrium @ SV15 ) )
= $true )
| ( ( environment @ SV15 )
= $false )
| ( ( stable @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(332,plain,
! [SV15: $i] :
( ( ( in_environment @ SV15 @ ( sK4_T @ SV15 ) )
= $true )
| ( ( environment @ SV15 )
= $false )
| ( ( stable @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(333,plain,
! [SV46: $i,SV35: $i] :
( ( ( environment @ SV35 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV35 @ SV46 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(334,plain,
! [SV47: $i,SV36: $i] :
( ( ( environment @ SV36 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV36 @ SV47 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(335,plain,
! [SV1: $i,SV27: $i,SV16: $i] :
( ( ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( subpopulation @ SV16 @ SV1 @ SV27 )
= $false )
| ( ( ( SV16 = efficient_producers )
| ( SV16 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(336,plain,
! [SV7: $i,SV22: $i,SV26: $i] :
( ( ( SV26 = SV22 )
= $true )
| ( ( greater @ SV26 @ SV22 )
= $true )
| ( ( greater @ SV22 @ SV26 )
= $true )
| ( ( in_environment @ SV7 @ SV22 )
= $false )
| ( ( in_environment @ SV7 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(337,plain,
! [SV9: $i] :
( ( ( in_environment @ sK1_E @ SV9 )
= $false )
| ( ( greater_or_equal @ ( sK2_SY51 @ SV9 ) @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(338,plain,
! [SV9: $i] :
( ( ( in_environment @ sK1_E @ SV9 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ ( sK2_SY51 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(339,plain,
! [SV10: $i,SV60: $i] :
( ( ( ~ ( greater_or_equal @ SV60 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV60 )
| ( greater @ ( growth_rate @ efficient_producers @ SV60 ) @ ( growth_rate @ first_movers @ SV60 ) ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(340,plain,
! [SV48: $i,SV37: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( subpopulation @ SV37 @ SV11 @ SV48 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV37 @ SV48 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV48 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV48 ) @ ( cardinality_at_time @ efficient_producers @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(341,plain,
! [SV61: $i,SV54: $i,SV11: $i] :
( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV54 @ SV11 @ SV61 )
| ( SV54 != efficient_producers )
| ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(342,plain,
! [SV62: $i,SV55: $i,SV11: $i] :
( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV55 @ SV11 @ SV62 )
| ( SV55 != first_movers )
| ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(343,plain,
! [SV56: $i,SV51: $i] :
( ( ( ( SV51 != SV56 ) )
= $true )
| ( ( greater_or_equal @ SV51 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(344,plain,
! [SV57: $i,SV52: $i] :
( ( ( ~ ( greater @ SV52 @ SV57 ) )
= $true )
| ( ( greater_or_equal @ SV52 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(345,plain,
! [SV53: $i,SV49: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ~ ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero )
| ( outcompetes @ SV49 @ SV24 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(346,plain,
! [SV63: $i,SV24: $i,SV12: $i] :
( ( ! [SY127: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV63 @ SV12 @ SY127 )
| ~ ( outcompetes @ SV63 @ SV24 @ SY127 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(347,plain,
! [SV64: $i,SV24: $i,SV12: $i] :
( ( ! [SY128: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV64 @ SV12 @ SY128 )
| ~ ( outcompetes @ SV64 @ SV24 @ SY128 )
| ( greater_or_equal @ ( growth_rate @ SV64 @ SY128 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(348,plain,
! [SV39: $i,SV29: $i] :
( ( ( environment @ SV29 )
= $false )
| ( ( ~ ( in_environment @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(349,plain,
! [SV40: $i,SV30: $i] :
( ( ( environment @ SV30 )
= $false )
| ( ( ~ ( in_environment @ SV30 @ SV40 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(350,plain,
! [SV41: $i,SV31: $i] :
( ( ( in_environment @ SV31 @ SV41 )
= $false )
| ( ( environment @ SV31 )
= $false )
| ( ( subpopulation @ first_movers @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(351,plain,
! [SV42: $i,SV32: $i] :
( ( ( in_environment @ SV32 @ SV42 )
= $false )
| ( ( environment @ SV32 )
= $false )
| ( ( subpopulation @ efficient_producers @ SV32 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(352,plain,
! [SV43: $i,SV33: $i] :
( ( ( in_environment @ SV33 @ SV43 )
= $false )
| ( ( environment @ SV33 )
= $false )
| ( ( ~ ( decreases @ ( resources @ SV33 @ SV43 ) )
| ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(353,plain,
! [SV44: $i,SV34: $i] :
( ( ( in_environment @ SV34 @ SV44 )
= $false )
| ( ( environment @ SV34 )
= $false )
| ( ( ~ ( constant @ ( resources @ SV34 @ SV44 ) )
| ( constant @ ( number_of_organizations @ SV34 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(354,plain,
! [SV13: $i] :
( ( ~ ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(355,plain,
! [SV13: $i] :
( ( ~ ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(356,plain,
! [SV13: $i] :
( ( ~ ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(357,plain,
! [SV13: $i] :
( ( ~ ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(358,plain,
! [SV13: $i] :
( ( ~ ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(359,plain,
! [SV13: $i] :
( ( ~ ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(360,plain,
! [SV13: $i] :
( ( ~ ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(361,plain,
! [SV13: $i] :
( ( ~ ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(362,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ~ ( environment @ SV58 )
| ~ ( in_environment @ SV58 @ SV65 )
| ~ ( subpopulation @ SV14 @ SV58 @ SV65 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(363,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ~ ( environment @ SV59 )
| ~ ( in_environment @ SV59 @ SV66 )
| ~ ( subpopulation @ SV14 @ SV59 @ SV66 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(364,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ( ~ ( environment @ SV45 )
| ~ ( in_environment @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(365,plain,
! [SV46: $i,SV35: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV35 @ SV46 )
= $false )
| ( ( environment @ SV35 )
= $false )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(366,plain,
! [SV47: $i,SV36: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV36 @ SV47 )
= $false )
| ( ( environment @ SV36 )
= $false )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(367,plain,
! [SV27: $i,SV1: $i,SV16: $i] :
( ( ( SV16 = efficient_producers )
= $true )
| ( ( SV16 = first_movers )
= $true )
| ( ( subpopulation @ SV16 @ SV1 @ SV27 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV16 @ SV27 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(368,plain,
! [SV10: $i,SV60: $i] :
( ( ( ~ ( greater_or_equal @ SV60 @ ( sK3_To @ SV10 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV60 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV60 ) @ ( growth_rate @ first_movers @ SV60 ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(369,plain,
! [SV48: $i,SV37: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( subpopulation @ SV37 @ SV11 @ SV48 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV37 @ SV48 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV48 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV48 ) @ ( cardinality_at_time @ efficient_producers @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(370,plain,
! [SV61: $i,SV54: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV54 @ SV11 @ SV61 )
| ( SV54 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(371,plain,
! [SV62: $i,SV55: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV55 @ SV11 @ SV62 )
| ( SV55 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(372,plain,
! [SV56: $i,SV51: $i] :
( ( ( SV51 = SV56 )
= $false )
| ( ( greater_or_equal @ SV51 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(373,plain,
! [SV57: $i,SV52: $i] :
( ( ( greater @ SV52 @ SV57 )
= $false )
| ( ( greater_or_equal @ SV52 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(374,plain,
! [SV53: $i,SV49: $i,SV24: $i,SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ~ ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero )
| ( outcompetes @ SV49 @ SV24 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(375,plain,
! [SV67: $i,SV63: $i,SV24: $i,SV12: $i] :
( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 )
| ~ ( outcompetes @ SV63 @ SV24 @ SV67 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(376,plain,
! [SV68: $i,SV64: $i,SV24: $i,SV12: $i] :
( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 )
| ~ ( outcompetes @ SV64 @ SV24 @ SV68 )
| ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(377,plain,
! [SV39: $i,SV29: $i] :
( ( ( in_environment @ SV29 @ SV39 )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(378,plain,
! [SV40: $i,SV30: $i] :
( ( ( in_environment @ SV30 @ SV40 )
= $false )
| ( ( environment @ SV30 )
= $false )
| ( ( ~ ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(379,plain,
! [SV43: $i,SV33: $i] :
( ( ( ~ ( decreases @ ( resources @ SV33 @ SV43 ) ) )
= $true )
| ( ( ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true )
| ( ( environment @ SV33 )
= $false )
| ( ( in_environment @ SV33 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(380,plain,
! [SV44: $i,SV34: $i] :
( ( ( ~ ( constant @ ( resources @ SV34 @ SV44 ) ) )
= $true )
| ( ( constant @ ( number_of_organizations @ SV34 @ SV44 ) )
= $true )
| ( ( environment @ SV34 )
= $false )
| ( ( in_environment @ SV34 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(381,plain,
! [SV13: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ( SV13
!= ( sum @ SY78 @ SY79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY78 )
| ( constant @ SY78 )
| ( decreases @ SY79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(382,plain,
! [SV13: $i] :
( ( ! [SY80: $i] :
( ! [SY81: $i] :
( SV13
!= ( sum @ SY80 @ SY81 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY80 )
| ( constant @ SY80 )
| ( increases @ SY80 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(383,plain,
! [SV13: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ( SV13
!= ( sum @ SY82 @ SY83 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY82 )
| ( constant @ SY83 )
| ( decreases @ SY83 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(384,plain,
! [SV13: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ( SV13
!= ( sum @ SY84 @ SY85 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SY84 )
| ( constant @ SY85 )
| ( increases @ SY84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(385,plain,
! [SV13: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ( SV13
!= ( sum @ SY86 @ SY87 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY87 )
| ( constant @ SY86 )
| ( decreases @ SY87 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(386,plain,
! [SV13: $i] :
( ( ! [SY88: $i,SY89: $i] :
( ( SV13
!= ( sum @ SY88 @ SY89 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY89 )
| ( constant @ SY88 )
| ( increases @ SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(387,plain,
! [SV13: $i] :
( ( ! [SY90: $i,SY91: $i] :
( ( SV13
!= ( sum @ SY90 @ SY91 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY91 )
| ( constant @ SY91 )
| ( decreases @ SY91 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(388,plain,
! [SV13: $i] :
( ( ! [SY92: $i,SY93: $i] :
( ( SV13
!= ( sum @ SY92 @ SY93 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY93 )
| ( constant @ SY93 )
| ( increases @ SY92 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(389,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ( ~ ( environment @ SV58 )
| ~ ( in_environment @ SV58 @ SV65 )
| ~ ( subpopulation @ SV14 @ SV58 @ SV65 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(390,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ( ~ ( environment @ SV59 )
| ~ ( in_environment @ SV59 @ SV66 )
| ~ ( subpopulation @ SV14 @ SV59 @ SV66 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(391,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ( ~ ( environment @ SV45 ) )
= $true )
| ( ( ~ ( in_environment @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(392,plain,
! [SV10: $i,SV60: $i] :
( ( ( ~ ( greater_or_equal @ SV60 @ ( sK3_To @ SV10 ) ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV60 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV60 ) @ ( growth_rate @ first_movers @ SV60 ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(393,plain,
! [SV48: $i,SV11: $i,SV37: $i] :
( ( ( subpopulation @ SV37 @ SV11 @ SV48 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV37 @ SV48 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV48 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV48 ) @ ( cardinality_at_time @ efficient_producers @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(394,plain,
! [SV61: $i,SV54: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV54 @ SV11 @ SV61 ) )
= $true )
| ( ( ( SV54 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(395,plain,
! [SV62: $i,SV55: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulation @ SV55 @ SV11 @ SV62 ) )
= $true )
| ( ( ( SV55 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(396,plain,
! [SV53: $i,SV12: $i,SV49: $i,SV24: $i] :
( ( ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero )
| ( outcompetes @ SV49 @ SV24 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(397,plain,
! [SV67: $i,SV63: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 ) )
= $true )
| ( ( ~ ( outcompetes @ SV63 @ SV24 @ SV67 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(398,plain,
! [SV68: $i,SV64: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 ) )
= $true )
| ( ( ~ ( outcompetes @ SV64 @ SV24 @ SV68 )
| ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(399,plain,
! [SV39: $i,SV29: $i] :
( ( ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( in_environment @ SV29 @ SV39 )
= $false )
| ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 )
| ( decreases @ ( resources @ SV29 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(400,plain,
! [SV40: $i,SV30: $i] :
( ( ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero )
= $false )
| ( ( environment @ SV30 )
= $false )
| ( ( in_environment @ SV30 @ SV40 )
= $false )
| ( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
| ( constant @ ( resources @ SV30 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(401,plain,
! [SV43: $i,SV33: $i] :
( ( ( decreases @ ( resources @ SV33 @ SV43 ) )
= $false )
| ( ( ~ ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) ) )
= $true )
| ( ( environment @ SV33 )
= $false )
| ( ( in_environment @ SV33 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(402,plain,
! [SV44: $i,SV34: $i] :
( ( ( constant @ ( resources @ SV34 @ SV44 ) )
= $false )
| ( ( constant @ ( number_of_organizations @ SV34 @ SV44 ) )
= $true )
| ( ( environment @ SV34 )
= $false )
| ( ( in_environment @ SV34 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(403,plain,
! [SV69: $i,SV13: $i] :
( ( ! [SY129: $i] :
( ( SV13
!= ( sum @ SV69 @ SY129 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV69 )
| ( constant @ SV69 )
| ( decreases @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(404,plain,
! [SV70: $i,SV13: $i] :
( ( ! [SY130: $i] :
( SV13
!= ( sum @ SV70 @ SY130 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV70 )
| ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(405,plain,
! [SV71: $i,SV13: $i] :
( ( ! [SY131: $i] :
( ( SV13
!= ( sum @ SV71 @ SY131 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV71 )
| ( constant @ SY131 )
| ( decreases @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(406,plain,
! [SV72: $i,SV13: $i] :
( ( ! [SY132: $i] :
( ( SV13
!= ( sum @ SV72 @ SY132 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV72 )
| ( constant @ SY132 )
| ( increases @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(407,plain,
! [SV73: $i,SV13: $i] :
( ( ! [SY133: $i] :
( ( SV13
!= ( sum @ SV73 @ SY133 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY133 )
| ( constant @ SV73 )
| ( decreases @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(408,plain,
! [SV74: $i,SV13: $i] :
( ( ! [SY134: $i] :
( ( SV13
!= ( sum @ SV74 @ SY134 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY134 )
| ( constant @ SV74 )
| ( increases @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(409,plain,
! [SV75: $i,SV13: $i] :
( ( ! [SY135: $i] :
( ( SV13
!= ( sum @ SV75 @ SY135 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY135 )
| ( constant @ SY135 )
| ( decreases @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(410,plain,
! [SV76: $i,SV13: $i] :
( ( ! [SY136: $i] :
( ( SV13
!= ( sum @ SV76 @ SY136 ) )
| ~ ( constant @ SV13 )
| ( increases @ SY136 )
| ( constant @ SY136 )
| ( increases @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(411,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ( ~ ( environment @ SV58 )
| ~ ( in_environment @ SV58 @ SV65 )
| ~ ( subpopulation @ SV14 @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(412,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ( ~ ( environment @ SV59 )
| ~ ( in_environment @ SV59 @ SV66 )
| ~ ( subpopulation @ SV14 @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(413,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ( environment @ SV45 )
= $false )
| ( ( ~ ( in_environment @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(414,plain,
! [SV10: $i,SV60: $i] :
( ( ( greater_or_equal @ SV60 @ ( sK3_To @ SV10 ) )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV60 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV60 ) @ ( growth_rate @ first_movers @ SV60 ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(415,plain,
! [SV61: $i,SV54: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( subpopulation @ SV54 @ SV11 @ SV61 ) )
= $true )
| ( ( ( SV54 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(416,plain,
! [SV62: $i,SV55: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( subpopulation @ SV55 @ SV11 @ SV62 ) )
= $true )
| ( ( ( SV55 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(417,plain,
! [SV12: $i,SV49: $i,SV53: $i,SV24: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
| ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero ) )
= $true )
| ( ( outcompetes @ SV49 @ SV24 @ SV53 )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(418,plain,
! [SV67: $i,SV63: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ~ ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 ) )
= $true )
| ( ( ~ ( outcompetes @ SV63 @ SV24 @ SV67 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(419,plain,
! [SV68: $i,SV64: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ~ ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 ) )
= $true )
| ( ( ~ ( outcompetes @ SV64 @ SV24 @ SV68 )
| ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(420,plain,
! [SV39: $i,SV29: $i] :
( ( ( ~ ( greater @ ( equilibrium @ SV29 ) @ SV39 ) )
= $true )
| ( ( decreases @ ( resources @ SV29 @ SV39 ) )
= $true )
| ( ( in_environment @ SV29 @ SV39 )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(421,plain,
! [SV40: $i,SV30: $i] :
( ( ( greater @ ( equilibrium @ SV30 ) @ SV40 )
= $true )
| ( ( constant @ ( resources @ SV30 @ SV40 ) )
= $true )
| ( ( in_environment @ SV30 @ SV40 )
= $false )
| ( ( environment @ SV30 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV30 @ SV40 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(422,plain,
! [SV43: $i,SV33: $i] :
( ( ( decreases @ ( number_of_organizations @ SV33 @ SV43 ) )
= $false )
| ( ( decreases @ ( resources @ SV33 @ SV43 ) )
= $false )
| ( ( environment @ SV33 )
= $false )
| ( ( in_environment @ SV33 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(423,plain,
! [SV77: $i,SV69: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV69 @ SV77 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV69 )
| ( constant @ SV69 )
| ( decreases @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(424,plain,
! [SV70: $i,SV13: $i] :
( ( ( ! [SY130: $i] :
( SV13
!= ( sum @ SV70 @ SY130 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV70 )
| ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(425,plain,
! [SV78: $i,SV71: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV71 @ SV78 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV71 )
| ( constant @ SV78 )
| ( decreases @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(426,plain,
! [SV79: $i,SV72: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV72 @ SV79 ) )
| ~ ( constant @ SV13 )
| ( decreases @ SV72 )
| ( constant @ SV79 )
| ( increases @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(427,plain,
! [SV80: $i,SV73: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV73 @ SV80 ) )
| ~ ( constant @ SV13 )
| ( increases @ SV80 )
| ( constant @ SV73 )
| ( decreases @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(428,plain,
! [SV81: $i,SV74: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV74 @ SV81 ) )
| ~ ( constant @ SV13 )
| ( increases @ SV81 )
| ( constant @ SV74 )
| ( increases @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(429,plain,
! [SV82: $i,SV75: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV75 @ SV82 ) )
| ~ ( constant @ SV13 )
| ( increases @ SV82 )
| ( constant @ SV82 )
| ( decreases @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(430,plain,
! [SV83: $i,SV76: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV76 @ SV83 ) )
| ~ ( constant @ SV13 )
| ( increases @ SV83 )
| ( constant @ SV83 )
| ( increases @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(431,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ( ~ ( environment @ SV58 )
| ~ ( in_environment @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(432,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ( ~ ( environment @ SV59 )
| ~ ( in_environment @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(433,plain,
! [SV14: $i,SV50: $i,SV45: $i] :
( ( ( in_environment @ SV45 @ SV50 )
= $false )
| ( ( environment @ SV45 )
= $false )
| ( ( ~ ( subpopulation @ SV14 @ SV45 @ SV50 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(434,plain,
! [SV60: $i,SV10: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV60 )
= $false )
| ( ( greater_or_equal @ SV60 @ ( sK3_To @ SV10 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV60 ) @ ( growth_rate @ first_movers @ SV60 ) )
= $true )
| ( ( environment @ SV10 )
= $false )
| ( ( stable @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(435,plain,
! [SV61: $i,SV54: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( subpopulation @ SV54 @ SV11 @ SV61 ) )
= $true )
| ( ( ( SV54 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(436,plain,
! [SV62: $i,SV55: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( subpopulation @ SV55 @ SV11 @ SV62 ) )
= $true )
| ( ( ( SV55 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(437,plain,
! [SV12: $i,SV49: $i,SV53: $i,SV24: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero ) )
= $true )
| ( ( outcompetes @ SV49 @ SV24 @ SV53 )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(438,plain,
! [SV67: $i,SV63: $i,SV24: $i,SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ~ ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 ) )
= $true )
| ( ( ~ ( outcompetes @ SV63 @ SV24 @ SV67 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(439,plain,
! [SV68: $i,SV64: $i,SV24: $i,SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ~ ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 ) )
= $true )
| ( ( ~ ( outcompetes @ SV64 @ SV24 @ SV68 )
| ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(440,plain,
! [SV39: $i,SV29: $i] :
( ( ( greater @ ( equilibrium @ SV29 ) @ SV39 )
= $false )
| ( ( decreases @ ( resources @ SV29 @ SV39 ) )
= $true )
| ( ( in_environment @ SV29 @ SV39 )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV29 @ SV39 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(441,plain,
! [SV77: $i,SV69: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV69 @ SV77 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV69 )
| ( constant @ SV69 )
| ( decreases @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(442,plain,
! [SV70: $i,SV13: $i] :
( ( ( ! [SY130: $i] :
( SV13
!= ( sum @ SV70 @ SY130 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV70 )
| ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(443,plain,
! [SV78: $i,SV71: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV71 @ SV78 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV71 )
| ( constant @ SV78 )
| ( decreases @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(444,plain,
! [SV79: $i,SV72: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV72 @ SV79 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV72 )
| ( constant @ SV79 )
| ( increases @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(445,plain,
! [SV80: $i,SV73: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV73 @ SV80 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV80 )
| ( constant @ SV73 )
| ( decreases @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(446,plain,
! [SV81: $i,SV74: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV74 @ SV81 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV81 )
| ( constant @ SV74 )
| ( increases @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(447,plain,
! [SV82: $i,SV75: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV75 @ SV82 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV82 )
| ( constant @ SV82 )
| ( decreases @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(448,plain,
! [SV83: $i,SV76: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV76 @ SV83 ) )
| ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV83 )
| ( constant @ SV83 )
| ( increases @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(449,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ( ~ ( environment @ SV58 ) )
= $true )
| ( ( ~ ( in_environment @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(450,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ( ~ ( environment @ SV59 ) )
= $true )
| ( ( ~ ( in_environment @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(451,plain,
! [SV50: $i,SV45: $i,SV14: $i] :
( ( ( subpopulation @ SV14 @ SV45 @ SV50 )
= $false )
| ( ( environment @ SV45 )
= $false )
| ( ( in_environment @ SV45 @ SV50 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(452,plain,
! [SV61: $i,SV11: $i,SV54: $i] :
( ( ( subpopulation @ SV54 @ SV11 @ SV61 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( ( SV54 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(453,plain,
! [SV62: $i,SV11: $i,SV55: $i] :
( ( ( subpopulation @ SV55 @ SV11 @ SV62 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( ( SV55 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(454,plain,
! [SV12: $i,SV49: $i,SV53: $i,SV24: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
= $false )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero ) )
= $true )
| ( ( outcompetes @ SV49 @ SV24 @ SV53 )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(455,plain,
! [SV67: $i,SV12: $i,SV63: $i,SV24: $i] :
( ( ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( ~ ( outcompetes @ SV63 @ SV24 @ SV67 )
| ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(456,plain,
! [SV68: $i,SV12: $i,SV64: $i,SV24: $i] :
( ( ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( ~ ( outcompetes @ SV64 @ SV24 @ SV68 )
| ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(457,plain,
! [SV77: $i,SV69: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV69 @ SV77 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV69 )
| ( constant @ SV69 )
| ( decreases @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(458,plain,
! [SV84: $i,SV70: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV70 @ SV84 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV70 )
| ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(459,plain,
! [SV78: $i,SV71: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV71 @ SV78 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV71 )
| ( constant @ SV78 )
| ( decreases @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(460,plain,
! [SV79: $i,SV72: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV72 @ SV79 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV72 )
| ( constant @ SV79 )
| ( increases @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(461,plain,
! [SV80: $i,SV73: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV73 @ SV80 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV80 )
| ( constant @ SV73 )
| ( decreases @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(462,plain,
! [SV81: $i,SV74: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV74 @ SV81 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV81 )
| ( constant @ SV74 )
| ( increases @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(463,plain,
! [SV82: $i,SV75: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV75 @ SV82 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV82 )
| ( constant @ SV82 )
| ( decreases @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(464,plain,
! [SV83: $i,SV76: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV76 @ SV83 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV83 )
| ( constant @ SV83 )
| ( increases @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(465,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ( environment @ SV58 )
= $false )
| ( ( ~ ( in_environment @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(466,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ( environment @ SV59 )
= $false )
| ( ( ~ ( in_environment @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(467,plain,
! [SV45: $i,SV50: $i,SV14: $i] :
( ( ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero )
= $false )
| ( ( in_environment @ SV45 @ SV50 )
= $false )
| ( ( environment @ SV45 )
= $false )
| ( ( subpopulation @ SV14 @ SV45 @ SV50 )
= $false )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
| ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(468,plain,
! [SV61: $i,SV11: $i,SV54: $i] :
( ( ( SV54 = efficient_producers )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( subpopulation @ SV54 @ SV11 @ SV61 )
= $false )
| ( ( ( number_of_organizations @ SV11 @ SV61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV61 ) @ ( cardinality_at_time @ efficient_producers @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(469,plain,
! [SV62: $i,SV11: $i,SV55: $i] :
( ( ( SV55 = first_movers )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( subpopulation @ SV55 @ SV11 @ SV62 )
= $false )
| ( ( ( number_of_organizations @ SV11 @ SV62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV62 ) @ ( cardinality_at_time @ efficient_producers @ SV62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(470,plain,
! [SV12: $i,SV24: $i,SV53: $i,SV49: $i] :
( ( ( greater_or_equal @ ( growth_rate @ SV49 @ SV53 ) @ zero )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV24 @ SV53 ) )
= $false )
| ( ( outcompetes @ SV49 @ SV24 @ SV53 )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV49 @ SV12 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(471,plain,
! [SV12: $i,SV67: $i,SV24: $i,SV63: $i] :
( ( ( ~ ( outcompetes @ SV63 @ SV24 @ SV67 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(472,plain,
! [SV12: $i,SV68: $i,SV24: $i,SV64: $i] :
( ( ( ~ ( outcompetes @ SV64 @ SV24 @ SV68 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(473,plain,
! [SV77: $i,SV69: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV69 @ SV77 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV69 )
| ( constant @ SV69 )
| ( decreases @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(474,plain,
! [SV84: $i,SV70: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV70 @ SV84 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV70 )
| ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(475,plain,
! [SV78: $i,SV71: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV71 @ SV78 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV71 )
| ( constant @ SV78 )
| ( decreases @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(476,plain,
! [SV79: $i,SV72: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV72 @ SV79 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( decreases @ SV72 )
| ( constant @ SV79 )
| ( increases @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(477,plain,
! [SV80: $i,SV73: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV73 @ SV80 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV80 )
| ( constant @ SV73 )
| ( decreases @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(478,plain,
! [SV81: $i,SV74: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV74 @ SV81 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV81 )
| ( constant @ SV74 )
| ( increases @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(479,plain,
! [SV82: $i,SV75: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV75 @ SV82 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV82 )
| ( constant @ SV82 )
| ( decreases @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV83: $i,SV76: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV76 @ SV83 ) )
= $false )
| ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( increases @ SV83 )
| ( constant @ SV83 )
| ( increases @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(481,plain,
! [SV14: $i,SV65: $i,SV58: $i] :
( ( ( in_environment @ SV58 @ SV65 )
= $false )
| ( ( environment @ SV58 )
= $false )
| ( ( ~ ( subpopulation @ SV14 @ SV58 @ SV65 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(482,plain,
! [SV14: $i,SV66: $i,SV59: $i] :
( ( ( in_environment @ SV59 @ SV66 )
= $false )
| ( ( environment @ SV59 )
= $false )
| ( ( ~ ( subpopulation @ SV14 @ SV59 @ SV66 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(483,plain,
! [SV45: $i,SV50: $i,SV14: $i] :
( ( ( ~ ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) )
= $true )
| ( ( subpopulation @ SV14 @ SV45 @ SV50 )
= $false )
| ( ( environment @ SV45 )
= $false )
| ( ( in_environment @ SV45 @ SV50 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(484,plain,
! [SV12: $i,SV67: $i,SV24: $i,SV63: $i] :
( ( ( outcompetes @ SV63 @ SV24 @ SV67 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV24 @ SV67 ) )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV63 @ SV12 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(485,plain,
! [SV12: $i,SV68: $i,SV24: $i,SV64: $i] :
( ( ( outcompetes @ SV64 @ SV24 @ SV68 )
= $false )
| ( ( greater_or_equal @ ( growth_rate @ SV64 @ SV68 ) @ zero )
= $true )
| ( ( environment @ SV12 )
= $false )
| ( ( subpopulations @ SV24 @ SV64 @ SV12 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(486,plain,
! [SV77: $i,SV69: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV69 @ SV77 ) )
= $false )
| ( ( ( decreases @ SV69 )
| ( constant @ SV69 )
| ( decreases @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(487,plain,
! [SV84: $i,SV70: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV70 @ SV84 ) )
= $false )
| ( ( ( decreases @ SV70 )
| ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(488,plain,
! [SV78: $i,SV71: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV71 @ SV78 ) )
= $false )
| ( ( ( decreases @ SV71 )
| ( constant @ SV78 )
| ( decreases @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(489,plain,
! [SV79: $i,SV72: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV72 @ SV79 ) )
= $false )
| ( ( ( decreases @ SV72 )
| ( constant @ SV79 )
| ( increases @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(490,plain,
! [SV80: $i,SV73: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV73 @ SV80 ) )
= $false )
| ( ( ( increases @ SV80 )
| ( constant @ SV73 )
| ( decreases @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(491,plain,
! [SV81: $i,SV74: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV74 @ SV81 ) )
= $false )
| ( ( ( increases @ SV81 )
| ( constant @ SV74 )
| ( increases @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(492,plain,
! [SV82: $i,SV75: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV75 @ SV82 ) )
= $false )
| ( ( ( increases @ SV82 )
| ( constant @ SV82 )
| ( decreases @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(493,plain,
! [SV83: $i,SV76: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV76 @ SV83 ) )
= $false )
| ( ( ( increases @ SV83 )
| ( constant @ SV83 )
| ( increases @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(494,plain,
! [SV65: $i,SV58: $i,SV14: $i] :
( ( ( subpopulation @ SV14 @ SV58 @ SV65 )
= $false )
| ( ( environment @ SV58 )
= $false )
| ( ( in_environment @ SV58 @ SV65 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(495,plain,
! [SV66: $i,SV59: $i,SV14: $i] :
( ( ( subpopulation @ SV14 @ SV59 @ SV66 )
= $false )
| ( ( environment @ SV59 )
= $false )
| ( ( in_environment @ SV59 @ SV66 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(496,plain,
! [SV45: $i,SV50: $i,SV14: $i] :
( ( ( decreases @ ( cardinality_at_time @ SV14 @ SV50 ) )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV14 @ SV50 ) )
= $true )
| ( ( subpopulation @ SV14 @ SV45 @ SV50 )
= $false )
| ( ( environment @ SV45 )
= $false )
| ( ( in_environment @ SV45 @ SV50 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV50 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(497,plain,
! [SV13: $i,SV77: $i,SV69: $i] :
( ( ( decreases @ SV69 )
= $true )
| ( ( ( constant @ SV69 )
| ( decreases @ SV77 ) )
= $true )
| ( ( SV13
= ( sum @ SV69 @ SV77 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(498,plain,
! [SV84: $i,SV13: $i,SV70: $i] :
( ( ( decreases @ SV70 )
= $true )
| ( ( ( constant @ SV70 )
| ( increases @ SV70 ) )
= $true )
| ( ( SV13
= ( sum @ SV70 @ SV84 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(499,plain,
! [SV13: $i,SV78: $i,SV71: $i] :
( ( ( decreases @ SV71 )
= $true )
| ( ( ( constant @ SV78 )
| ( decreases @ SV78 ) )
= $true )
| ( ( SV13
= ( sum @ SV71 @ SV78 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(500,plain,
! [SV13: $i,SV79: $i,SV72: $i] :
( ( ( decreases @ SV72 )
= $true )
| ( ( ( constant @ SV79 )
| ( increases @ SV72 ) )
= $true )
| ( ( SV13
= ( sum @ SV72 @ SV79 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(501,plain,
! [SV13: $i,SV73: $i,SV80: $i] :
( ( ( increases @ SV80 )
= $true )
| ( ( ( constant @ SV73 )
| ( decreases @ SV80 ) )
= $true )
| ( ( SV13
= ( sum @ SV73 @ SV80 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(502,plain,
! [SV13: $i,SV74: $i,SV81: $i] :
( ( ( increases @ SV81 )
= $true )
| ( ( ( constant @ SV74 )
| ( increases @ SV74 ) )
= $true )
| ( ( SV13
= ( sum @ SV74 @ SV81 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(503,plain,
! [SV75: $i,SV13: $i,SV82: $i] :
( ( ( increases @ SV82 )
= $true )
| ( ( ( constant @ SV82 )
| ( decreases @ SV82 ) )
= $true )
| ( ( SV13
= ( sum @ SV75 @ SV82 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(504,plain,
! [SV13: $i,SV76: $i,SV83: $i] :
( ( ( increases @ SV83 )
= $true )
| ( ( ( constant @ SV83 )
| ( increases @ SV76 ) )
= $true )
| ( ( SV13
= ( sum @ SV76 @ SV83 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(505,plain,
! [SV58: $i,SV65: $i,SV14: $i] :
( ( ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero )
= $false )
| ( ( in_environment @ SV58 @ SV65 )
= $false )
| ( ( environment @ SV58 )
= $false )
| ( ( subpopulation @ SV14 @ SV58 @ SV65 )
= $false )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
| ( ( growth_rate @ SV14 @ SV65 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(506,plain,
! [SV59: $i,SV66: $i,SV14: $i] :
( ( ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero )
= $false )
| ( ( in_environment @ SV59 @ SV66 )
= $false )
| ( ( environment @ SV59 )
= $false )
| ( ( subpopulation @ SV14 @ SV59 @ SV66 )
= $false )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
| ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(507,plain,
! [SV13: $i,SV77: $i,SV69: $i] :
( ( ( constant @ SV69 )
= $true )
| ( ( decreases @ SV77 )
= $true )
| ( ( decreases @ SV69 )
= $true )
| ( ( SV13
= ( sum @ SV69 @ SV77 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(508,plain,
! [SV84: $i,SV13: $i,SV70: $i] :
( ( ( constant @ SV70 )
= $true )
| ( ( increases @ SV70 )
= $true )
| ( ( decreases @ SV70 )
= $true )
| ( ( SV13
= ( sum @ SV70 @ SV84 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(509,plain,
! [SV13: $i,SV71: $i,SV78: $i] :
( ( ( constant @ SV78 )
= $true )
| ( ( decreases @ SV78 )
= $true )
| ( ( decreases @ SV71 )
= $true )
| ( ( SV13
= ( sum @ SV71 @ SV78 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(510,plain,
! [SV13: $i,SV72: $i,SV79: $i] :
( ( ( constant @ SV79 )
= $true )
| ( ( increases @ SV72 )
= $true )
| ( ( decreases @ SV72 )
= $true )
| ( ( SV13
= ( sum @ SV72 @ SV79 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(511,plain,
! [SV13: $i,SV80: $i,SV73: $i] :
( ( ( constant @ SV73 )
= $true )
| ( ( decreases @ SV80 )
= $true )
| ( ( increases @ SV80 )
= $true )
| ( ( SV13
= ( sum @ SV73 @ SV80 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(512,plain,
! [SV13: $i,SV81: $i,SV74: $i] :
( ( ( constant @ SV74 )
= $true )
| ( ( increases @ SV74 )
= $true )
| ( ( increases @ SV81 )
= $true )
| ( ( SV13
= ( sum @ SV74 @ SV81 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(513,plain,
! [SV75: $i,SV13: $i,SV82: $i] :
( ( ( constant @ SV82 )
= $true )
| ( ( decreases @ SV82 )
= $true )
| ( ( increases @ SV82 )
= $true )
| ( ( SV13
= ( sum @ SV75 @ SV82 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(514,plain,
! [SV13: $i,SV76: $i,SV83: $i] :
( ( ( constant @ SV83 )
= $true )
| ( ( increases @ SV76 )
= $true )
| ( ( increases @ SV83 )
= $true )
| ( ( SV13
= ( sum @ SV76 @ SV83 ) )
= $false )
| ( ( constant @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(515,plain,
! [SV58: $i,SV65: $i,SV14: $i] :
( ( ( ~ ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) ) )
= $true )
| ( ( ( growth_rate @ SV14 @ SV65 )
= zero )
= $true )
| ( ( subpopulation @ SV14 @ SV58 @ SV65 )
= $false )
| ( ( environment @ SV58 )
= $false )
| ( ( in_environment @ SV58 @ SV65 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(516,plain,
! [SV59: $i,SV66: $i,SV14: $i] :
( ( ( ~ ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero )
= $true )
| ( ( subpopulation @ SV14 @ SV59 @ SV66 )
= $false )
| ( ( environment @ SV59 )
= $false )
| ( ( in_environment @ SV59 @ SV66 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(517,plain,
! [SV58: $i,SV65: $i,SV14: $i] :
( ( ( constant @ ( cardinality_at_time @ SV14 @ SV65 ) )
= $false )
| ( ( ( growth_rate @ SV14 @ SV65 )
= zero )
= $true )
| ( ( subpopulation @ SV14 @ SV58 @ SV65 )
= $false )
| ( ( environment @ SV58 )
= $false )
| ( ( in_environment @ SV58 @ SV65 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV65 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(518,plain,
! [SV59: $i,SV66: $i,SV14: $i] :
( ( ( increases @ ( cardinality_at_time @ SV14 @ SV66 ) )
= $false )
| ( ( greater @ ( growth_rate @ SV14 @ SV66 ) @ zero )
= $true )
| ( ( subpopulation @ SV14 @ SV59 @ SV66 )
= $false )
| ( ( environment @ SV59 )
= $false )
| ( ( in_environment @ SV59 @ SV66 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV66 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(519,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[86,518,517,514,513,512,511,510,509,508,507,496,485,484,470,469,468,440,434,422,421,402,393,373,372,367,366,365,351,350,338,337,336,332,331,312,308,274,271,269,237,236,208,207,87]) ).
thf(520,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 12:49:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 19
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.18/0.39 .
% 0.18/0.39 (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:21,loop_count:0,foatp_calls:0,translation:fof_full).................................
% 9.35/9.57
% 9.35/9.57 ********************************
% 9.35/9.57 * All subproblems solved! *
% 9.35/9.57 ********************************
% 9.35/9.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:519,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.50/9.73
% 9.50/9.73 %**** Beginning of derivation protocol ****
% 9.50/9.73 % SZS output start CNFRefutation
% See solution above
% 9.50/9.73
% 9.50/9.73 %**** End of derivation protocol ****
% 9.50/9.73 %**** no. of clauses in derivation: 520 ****
% 9.50/9.73 %**** clause counter: 519 ****
% 9.50/9.73
% 9.50/9.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:519,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------