TSTP Solution File: MGT025+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT025+1 : 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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:17:15 EDT 2022
% Result : Theorem 0.36s 0.57s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 318 ( 160 unt; 17 typ; 0 def)
% Number of atoms : 3097 ( 972 equ; 0 cnn)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 6449 (1096 ~;1432 |; 97 &;3797 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 943 ( 0 ^ 943 !; 0 ?; 943 :)
% 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_first_movers,type,
first_movers: $i ).
thf(tp_greater,type,
greater: $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_sK1_E,type,
sK1_E: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
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 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
thf(2,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_non_zero_producers) ).
thf(3,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(4,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(5,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_subpopulations) ).
thf(6,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(7,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',a9) ).
thf(8,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( constant @ ( number_of_organizations @ E @ T ) ) )
=> ( ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7) ).
thf(9,negated_conjecture,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( constant @ ( number_of_organizations @ E @ T ) ) )
=> ( ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( constant @ ( number_of_organizations @ E @ T ) ) )
=> ( ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,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)],[2]) ).
thf(13,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)],[3]) ).
thf(14,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)],[4]) ).
thf(15,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)],[5]) ).
thf(16,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)],[6]) ).
thf(17,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)],[7]) ).
thf(18,plain,
( ( ! [SY20: $i] :
( ( ( environment @ sK1_E )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ SY20 )
& ( constant @ ( number_of_organizations @ sK1_E @ SY20 ) ) )
=> ( ( ( ( growth_rate @ first_movers @ SY20 )
= zero )
& ( ( growth_rate @ efficient_producers @ SY20 )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ SY20 ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ SY20 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ( ( environment @ sK1_E )
& ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY20 )
& ( constant @ ( number_of_organizations @ sK1_E @ sK2_SY20 ) ) )
=> ( ( ( ( growth_rate @ first_movers @ sK2_SY20 )
= zero )
& ( ( growth_rate @ efficient_producers @ sK2_SY20 )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(20,plain,
( ( environment @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[19]) ).
thf(21,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY20 )
= $true ),
inference(standard_cnf,[status(thm)],[19]) ).
thf(22,plain,
( ( constant @ ( number_of_organizations @ sK1_E @ sK2_SY20 ) )
= $true ),
inference(standard_cnf,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ( ( growth_rate @ first_movers @ sK2_SY20 )
= zero )
& ( ( growth_rate @ efficient_producers @ sK2_SY20 )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ( ( ( growth_rate @ first_movers @ sK2_SY20 )
= zero )
& ( ( growth_rate @ efficient_producers @ sK2_SY20 )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(25,plain,
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
& ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
& ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(26,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(27,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)],[12]) ).
thf(28,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)],[13]) ).
thf(29,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)],[14]) ).
thf(30,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)],[15]) ).
thf(31,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)],[16]) ).
thf(32,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)],[17]) ).
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 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(34,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)],[31]) ).
thf(35,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)],[30]) ).
thf(36,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)],[29]) ).
thf(37,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)],[28]) ).
thf(38,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)],[27]) ).
thf(39,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
| ( in_environment @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(40,plain,
( ( constant @ ( number_of_organizations @ sK1_E @ sK2_SY20 ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(41,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY20 )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(42,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(43,plain,
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
& ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
& ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( ~ ( ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
| ~ ~ ( ~ ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(45,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)],[35]) ).
thf(46,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)],[36]) ).
thf(47,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)],[37]) ).
thf(48,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)],[34]) ).
thf(49,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)],[38]) ).
thf(50,plain,
! [SV1: $i] :
( ( ! [SY21: $i] :
( ! [SY22: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SY21 @ SV1 @ SY22 )
| ~ ( greater @ ( cardinality_at_time @ SY21 @ SY22 ) @ zero ) )
| ( SY21 = efficient_producers )
| ( SY21 = first_movers ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(51,plain,
! [SV2: $i] :
( ( ! [SY23: $i] :
( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY23 )
| ( in_environment @ SV2 @ SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(52,plain,
( ( ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
| ~ ~ ( ~ ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(53,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)],[45]) ).
thf(54,plain,
! [SV3: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
| ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
| ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) )
| ~ ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) )
| ~ ! [SY44: $i,SY45: $i] :
( ~ ( environment @ SY44 )
| ~ ( in_environment @ SY44 @ SY45 )
| ~ ( subpopulation @ SV4 @ SY44 @ SY45 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV4 @ SY45 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SY45 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV5: $i] :
( ( ~ ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY46 @ SV5 @ SY47 )
| ( greater @ ( cardinality_at_time @ SY46 @ SY47 ) @ zero )
| ( ( number_of_organizations @ SV5 @ SY47 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY47 ) @ ( cardinality_at_time @ efficient_producers @ SY47 ) ) ) )
| ~ ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,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)],[49]) ).
thf(58,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY52: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV6 @ SV1 @ SY52 )
| ~ ( greater @ ( cardinality_at_time @ SV6 @ SY52 ) @ zero ) )
| ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV7: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV7 )
| ( in_environment @ SV2 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
( ( ~ ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( ~ ~ ( ~ ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(63,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(64,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
| ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
| ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) )
| ~ ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) )
| ~ ! [SY44: $i,SY45: $i] :
( ~ ( environment @ SY44 )
| ~ ( in_environment @ SY44 @ SY45 )
| ~ ( subpopulation @ SV4 @ SY44 @ SY45 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV4 @ SY45 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SY45 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV5: $i] :
( ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY46 @ SV5 @ SY47 )
| ( greater @ ( cardinality_at_time @ SY46 @ SY47 ) @ zero )
| ( ( number_of_organizations @ SV5 @ SY47 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY47 ) @ ( cardinality_at_time @ efficient_producers @ SY47 ) ) ) )
| ~ ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(67,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)],[57]) ).
thf(68,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)],[57]) ).
thf(69,plain,
! [SV6: $i,SV1: $i] :
( ( ( ! [SY52: $i] :
( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV6 @ SV1 @ SY52 )
| ~ ( greater @ ( cardinality_at_time @ SV6 @ SY52 ) @ zero ) ) )
= $true )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(70,plain,
! [SV7: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV7 ) )
= $true )
| ( ( in_environment @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(71,plain,
( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(72,plain,
( ( ~ ( ~ ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(75,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
| ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(76,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
| ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(77,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) )
| ~ ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(78,plain,
! [SV4: $i] :
( ( ~ ! [SY44: $i,SY45: $i] :
( ~ ( environment @ SY44 )
| ~ ( in_environment @ SY44 @ SY45 )
| ~ ( subpopulation @ SV4 @ SY44 @ SY45 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV4 @ SY45 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SY45 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(79,plain,
! [SV5: $i] :
( ( ~ ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY46 @ SV5 @ SY47 )
| ( greater @ ( cardinality_at_time @ SY46 @ SY47 ) @ zero )
| ( ( number_of_organizations @ SV5 @ SY47 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY47 ) @ ( cardinality_at_time @ efficient_producers @ SY47 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(80,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(81,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)],[67]) ).
thf(82,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)],[68]) ).
thf(83,plain,
! [SV8: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV6 @ SV1 @ SV8 )
| ~ ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero ) )
= $true )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(84,plain,
! [SV7: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV7 ) )
= $true )
| ( ( in_environment @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(85,plain,
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(86,plain,
( ( ~ ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
| ~ ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(87,plain,
! [SV9: $i] :
( ( ! [SY53: $i] :
( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SY53 )
| ( subpopulation @ first_movers @ SV9 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(88,plain,
! [SV10: $i] :
( ( ! [SY54: $i] :
( ~ ( environment @ SV10 )
| ~ ( in_environment @ SV10 @ SY54 )
| ( subpopulation @ efficient_producers @ SV10 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(89,plain,
! [SV3: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
| ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(90,plain,
! [SV3: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
| ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(91,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) )
| ~ ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(92,plain,
! [SV4: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( environment @ SY44 )
| ~ ( in_environment @ SY44 @ SY45 )
| ~ ( subpopulation @ SV4 @ SY44 @ SY45 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV4 @ SY45 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SY45 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(93,plain,
! [SV5: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY46 @ SV5 @ SY47 )
| ( greater @ ( cardinality_at_time @ SY46 @ SY47 ) @ zero )
| ( ( number_of_organizations @ SV5 @ SY47 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY47 ) @ ( cardinality_at_time @ efficient_producers @ SY47 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(94,plain,
! [SV5: $i] :
( ( ~ ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(95,plain,
! [SV11: $i] :
( ( ! [SY55: $i] :
( ~ ( environment @ SV11 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY55 )
| ( greater @ ( cardinality_at_time @ first_movers @ SY55 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV12: $i] :
( ( ! [SY56: $i] :
( ~ ( environment @ SV12 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SY56 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY56 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV8: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( subpopulation @ SV6 @ SV1 @ SV8 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero ) )
= $true )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV7: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV7 ) )
= $true )
| ( ( in_environment @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(99,plain,
( ( ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(100,plain,
( ( ~ ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(101,plain,
( ( ~ ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(102,plain,
! [SV13: $i,SV9: $i] :
( ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV13 )
| ( subpopulation @ first_movers @ SV9 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV14: $i,SV10: $i] :
( ( ~ ( environment @ SV10 )
| ~ ( in_environment @ SV10 @ SV14 )
| ( subpopulation @ efficient_producers @ SV10 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(104,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
| ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
| ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV4: $i] :
( ( ~ ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) )
| ~ ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV4: $i,SV15: $i] :
( ( ! [SY57: $i] :
( ~ ( environment @ SV15 )
| ~ ( in_environment @ SV15 @ SY57 )
| ~ ( subpopulation @ SV4 @ SV15 @ SY57 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY57 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV4 @ SY57 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(108,plain,
! [SV16: $i,SV5: $i] :
( ( ! [SY58: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV16 @ SV5 @ SY58 )
| ( greater @ ( cardinality_at_time @ SV16 @ SY58 ) @ zero )
| ( ( number_of_organizations @ SV5 @ SY58 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY58 ) @ ( cardinality_at_time @ efficient_producers @ SY58 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(109,plain,
! [SV5: $i] :
( ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) )
| ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV17: $i,SV11: $i] :
( ( ~ ( environment @ SV11 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV17 )
| ( greater @ ( cardinality_at_time @ first_movers @ SV17 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(111,plain,
! [SV18: $i,SV12: $i] :
( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV18 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV8: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( subpopulation @ SV6 @ SV1 @ SV8 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero ) )
= $true )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(113,plain,
! [SV7: $i,SV2: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV7 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( in_environment @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(114,plain,
( ( ( greater @ zero @ ( growth_rate @ first_movers @ sK2_SY20 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ sK2_SY20 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(115,plain,
( ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(116,plain,
( ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(117,plain,
! [SV13: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV13 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV9 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(118,plain,
! [SV14: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 )
| ~ ( in_environment @ SV10 @ SV14 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV10 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(119,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(120,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(121,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(122,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(123,plain,
! [SV4: $i] :
( ( ~ ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(124,plain,
! [SV4: $i] :
( ( ~ ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(125,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ~ ( environment @ SV15 )
| ~ ( in_environment @ SV15 @ SV19 )
| ~ ( subpopulation @ SV4 @ SV15 @ SV19 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(126,plain,
! [SV20: $i,SV16: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV16 @ SV5 @ SV20 )
| ( greater @ ( cardinality_at_time @ SV16 @ SV20 ) @ zero )
| ( ( number_of_organizations @ SV5 @ SV20 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV20 ) @ ( cardinality_at_time @ efficient_producers @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(127,plain,
! [SV5: $i] :
( ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(128,plain,
! [SV5: $i] :
( ( ~ ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(129,plain,
! [SV17: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV17 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV17 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV18 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(131,plain,
! [SV8: $i,SV6: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( subpopulation @ SV6 @ SV1 @ SV8 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero ) )
= $true )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(132,plain,
( ( ( ( ( growth_rate @ first_movers @ sK2_SY20 )
!= zero ) )
= $true )
| ( ( ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(133,plain,
( ( ( ~ ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(134,plain,
! [SV13: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ~ ( in_environment @ SV9 @ SV13 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV9 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(135,plain,
! [SV14: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ~ ( in_environment @ SV10 @ SV14 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV10 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(136,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(137,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(138,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(139,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(140,plain,
! [SV4: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ( environment @ SY40 )
| ~ ( in_environment @ SY40 @ SY41 )
| ~ ( subpopulation @ SV4 @ SY40 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY41 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY41 ) )
| ( ( growth_rate @ SV4 @ SY41 )
= zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(141,plain,
! [SV4: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ~ ( environment @ SY42 )
| ~ ( in_environment @ SY42 @ SY43 )
| ~ ( subpopulation @ SV4 @ SY42 @ SY43 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY43 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY43 ) )
| ( greater @ ( growth_rate @ SV4 @ SY43 ) @ zero ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(142,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( environment @ SV15 )
| ~ ( in_environment @ SV15 @ SV19 )
| ~ ( subpopulation @ SV4 @ SV15 @ SV19 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(143,plain,
! [SV20: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV16 @ SV5 @ SV20 )
| ( greater @ ( cardinality_at_time @ SV16 @ SV20 ) @ zero ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV20 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV20 ) @ ( cardinality_at_time @ efficient_producers @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(144,plain,
! [SV5: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY48 @ SV5 @ SY49 )
| ( SY48 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY49 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY49 ) @ ( cardinality_at_time @ efficient_producers @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(145,plain,
! [SV5: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SY50 @ SV5 @ SY51 )
| ( SY50 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY51 ) @ ( cardinality_at_time @ efficient_producers @ SY51 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(146,plain,
! [SV17: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV17 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV17 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(147,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV18 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV8: $i,SV1: $i,SV6: $i] :
( ( ( subpopulation @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero ) )
= $true )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(149,plain,
( ( ( ( growth_rate @ first_movers @ sK2_SY20 )
= zero )
= $false )
| ( ( ( ( growth_rate @ efficient_producers @ sK2_SY20 )
!= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(150,plain,
( ( ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(151,plain,
! [SV13: $i,SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ~ ( in_environment @ SV9 @ SV13 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV9 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(152,plain,
! [SV14: $i,SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ~ ( in_environment @ SV10 @ SV14 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV10 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(153,plain,
! [SV3: $i] :
( ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) )
| ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(154,plain,
! [SV3: $i] :
( ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) )
| ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(155,plain,
! [SV3: $i] :
( ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(156,plain,
! [SV3: $i] :
( ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) )
| ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(157,plain,
! [SV4: $i,SV21: $i] :
( ( ! [SY59: $i] :
( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SY59 )
| ~ ( subpopulation @ SV4 @ SV21 @ SY59 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY59 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SY59 ) )
| ( ( growth_rate @ SV4 @ SY59 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(158,plain,
! [SV4: $i,SV22: $i] :
( ( ! [SY60: $i] :
( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SY60 )
| ~ ( subpopulation @ SV4 @ SV22 @ SY60 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SY60 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SY60 ) )
| ( greater @ ( growth_rate @ SV4 @ SY60 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(159,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( environment @ SV15 )
| ~ ( in_environment @ SV15 @ SV19 )
| ~ ( subpopulation @ SV4 @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(160,plain,
! [SV20: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV16 @ SV5 @ SV20 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV16 @ SV20 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV20 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV20 ) @ ( cardinality_at_time @ efficient_producers @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(161,plain,
! [SV23: $i,SV5: $i] :
( ( ! [SY61: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV23 @ SV5 @ SY61 )
| ( SV23 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SY61 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY61 ) @ ( cardinality_at_time @ efficient_producers @ SY61 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(162,plain,
! [SV24: $i,SV5: $i] :
( ( ! [SY62: $i] :
( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV24 @ SV5 @ SY62 )
| ( SV24 != first_movers )
| ( ( number_of_organizations @ SV5 @ SY62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY62 ) @ ( cardinality_at_time @ efficient_producers @ SY62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(163,plain,
! [SV17: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV17 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV17 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(164,plain,
! [SV18: $i,SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV18 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(165,plain,
! [SV1: $i,SV8: $i,SV6: $i] :
( ( ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( subpopulation @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( ( SV6 = efficient_producers )
| ( SV6 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(166,plain,
( ( ( ( growth_rate @ efficient_producers @ sK2_SY20 )
= zero )
= $false )
| ( ( ( growth_rate @ first_movers @ sK2_SY20 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(167,plain,
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY20 ) )
= $false )
| ( ( greater @ ( growth_rate @ first_movers @ sK2_SY20 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(168,plain,
! [SV13: $i,SV9: $i] :
( ( ( in_environment @ SV9 @ SV13 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( subpopulation @ first_movers @ SV9 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(169,plain,
! [SV14: $i,SV10: $i] :
( ( ( in_environment @ SV10 @ SV14 )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( subpopulation @ efficient_producers @ SV10 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(170,plain,
! [SV3: $i] :
( ( ~ ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(171,plain,
! [SV3: $i] :
( ( ~ ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(172,plain,
! [SV3: $i] :
( ( ~ ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(173,plain,
! [SV3: $i] :
( ( ~ ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(174,plain,
! [SV3: $i] :
( ( ~ ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(175,plain,
! [SV3: $i] :
( ( ~ ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(176,plain,
! [SV3: $i] :
( ( ~ ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(177,plain,
! [SV3: $i] :
( ( ~ ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(178,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SV25 )
| ~ ( subpopulation @ SV4 @ SV21 @ SV25 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SV26 )
| ~ ( subpopulation @ SV4 @ SV22 @ SV26 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( environment @ SV15 )
| ~ ( in_environment @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV20: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( subpopulation @ SV16 @ SV5 @ SV20 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV16 @ SV20 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV20 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV20 ) @ ( cardinality_at_time @ efficient_producers @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(182,plain,
! [SV27: $i,SV23: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV23 @ SV5 @ SV27 )
| ( SV23 != efficient_producers )
| ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV28: $i,SV24: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV24 @ SV5 @ SV28 )
| ( SV24 != first_movers )
| ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV17: $i,SV11: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV17 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV17 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV18: $i,SV12: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV18 )
= $false )
| ( ( environment @ SV12 )
= $false )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV8: $i,SV1: $i,SV6: $i] :
( ( ( SV6 = efficient_producers )
= $true )
| ( ( SV6 = first_movers )
= $true )
| ( ( subpopulation @ SV6 @ SV1 @ SV8 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV6 @ SV8 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV3: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ( SV3
!= ( sum @ SY24 @ SY25 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY24 )
| ( constant @ SY24 )
| ( decreases @ SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(188,plain,
! [SV3: $i] :
( ( ! [SY26: $i] :
( ! [SY27: $i] :
( SV3
!= ( sum @ SY26 @ SY27 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY26 )
| ( constant @ SY26 )
| ( increases @ SY26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(189,plain,
! [SV3: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ( SV3
!= ( sum @ SY28 @ SY29 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY28 )
| ( constant @ SY29 )
| ( decreases @ SY29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(190,plain,
! [SV3: $i] :
( ( ! [SY30: $i,SY31: $i] :
( ( SV3
!= ( sum @ SY30 @ SY31 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SY30 )
| ( constant @ SY31 )
| ( increases @ SY30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(191,plain,
! [SV3: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( SV3
!= ( sum @ SY32 @ SY33 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY33 )
| ( constant @ SY32 )
| ( decreases @ SY33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(192,plain,
! [SV3: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( SV3
!= ( sum @ SY34 @ SY35 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY35 )
| ( constant @ SY34 )
| ( increases @ SY34 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(193,plain,
! [SV3: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ( SV3
!= ( sum @ SY36 @ SY37 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY37 )
| ( constant @ SY37 )
| ( decreases @ SY37 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(194,plain,
! [SV3: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ( SV3
!= ( sum @ SY38 @ SY39 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY39 )
| ( constant @ SY39 )
| ( increases @ SY38 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(195,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SV25 )
| ~ ( subpopulation @ SV4 @ SV21 @ SV25 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(196,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SV26 )
| ~ ( subpopulation @ SV4 @ SV22 @ SV26 )
| ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(197,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( ~ ( in_environment @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(198,plain,
! [SV20: $i,SV16: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( subpopulation @ SV16 @ SV5 @ SV20 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV16 @ SV20 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV20 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV20 ) @ ( cardinality_at_time @ efficient_producers @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(199,plain,
! [SV27: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV23 @ SV5 @ SV27 )
| ( SV23 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(200,plain,
! [SV28: $i,SV24: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV24 @ SV5 @ SV28 )
| ( SV24 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(201,plain,
! [SV29: $i,SV3: $i] :
( ( ! [SY63: $i] :
( ( SV3
!= ( sum @ SV29 @ SY63 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV29 )
| ( constant @ SV29 )
| ( decreases @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(202,plain,
! [SV30: $i,SV3: $i] :
( ( ! [SY64: $i] :
( SV3
!= ( sum @ SV30 @ SY64 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV30 )
| ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(203,plain,
! [SV31: $i,SV3: $i] :
( ( ! [SY65: $i] :
( ( SV3
!= ( sum @ SV31 @ SY65 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV31 )
| ( constant @ SY65 )
| ( decreases @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(204,plain,
! [SV32: $i,SV3: $i] :
( ( ! [SY66: $i] :
( ( SV3
!= ( sum @ SV32 @ SY66 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV32 )
| ( constant @ SY66 )
| ( increases @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(205,plain,
! [SV33: $i,SV3: $i] :
( ( ! [SY67: $i] :
( ( SV3
!= ( sum @ SV33 @ SY67 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY67 )
| ( constant @ SV33 )
| ( decreases @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(206,plain,
! [SV34: $i,SV3: $i] :
( ( ! [SY68: $i] :
( ( SV3
!= ( sum @ SV34 @ SY68 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY68 )
| ( constant @ SV34 )
| ( increases @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(207,plain,
! [SV35: $i,SV3: $i] :
( ( ! [SY69: $i] :
( ( SV3
!= ( sum @ SV35 @ SY69 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY69 )
| ( constant @ SY69 )
| ( decreases @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(208,plain,
! [SV36: $i,SV3: $i] :
( ( ! [SY70: $i] :
( ( SV3
!= ( sum @ SV36 @ SY70 ) )
| ~ ( constant @ SV3 )
| ( increases @ SY70 )
| ( constant @ SY70 )
| ( increases @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(209,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SV25 )
| ~ ( subpopulation @ SV4 @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(210,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SV26 )
| ~ ( subpopulation @ SV4 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(211,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( ~ ( in_environment @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(212,plain,
! [SV20: $i,SV5: $i,SV16: $i] :
( ( ( subpopulation @ SV16 @ SV5 @ SV20 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV16 @ SV20 ) @ zero )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV20 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV20 ) @ ( cardinality_at_time @ efficient_producers @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(213,plain,
! [SV27: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV23 @ SV5 @ SV27 ) )
= $true )
| ( ( ( SV23 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(214,plain,
! [SV28: $i,SV24: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( subpopulation @ SV24 @ SV5 @ SV28 ) )
= $true )
| ( ( ( SV24 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(215,plain,
! [SV37: $i,SV29: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV29 @ SV37 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV29 )
| ( constant @ SV29 )
| ( decreases @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(216,plain,
! [SV30: $i,SV3: $i] :
( ( ( ! [SY64: $i] :
( SV3
!= ( sum @ SV30 @ SY64 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV30 )
| ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(217,plain,
! [SV38: $i,SV31: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV31 @ SV38 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV31 )
| ( constant @ SV38 )
| ( decreases @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(218,plain,
! [SV39: $i,SV32: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV32 @ SV39 ) )
| ~ ( constant @ SV3 )
| ( decreases @ SV32 )
| ( constant @ SV39 )
| ( increases @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(219,plain,
! [SV40: $i,SV33: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV33 @ SV40 ) )
| ~ ( constant @ SV3 )
| ( increases @ SV40 )
| ( constant @ SV33 )
| ( decreases @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(220,plain,
! [SV41: $i,SV34: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV34 @ SV41 ) )
| ~ ( constant @ SV3 )
| ( increases @ SV41 )
| ( constant @ SV34 )
| ( increases @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(221,plain,
! [SV42: $i,SV35: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV35 @ SV42 ) )
| ~ ( constant @ SV3 )
| ( increases @ SV42 )
| ( constant @ SV42 )
| ( decreases @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(222,plain,
! [SV43: $i,SV36: $i,SV3: $i] :
( ( ( SV3
!= ( sum @ SV36 @ SV43 ) )
| ~ ( constant @ SV3 )
| ( increases @ SV43 )
| ( constant @ SV43 )
| ( increases @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(223,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ( ~ ( environment @ SV21 )
| ~ ( in_environment @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(224,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ( ~ ( environment @ SV22 )
| ~ ( in_environment @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(225,plain,
! [SV4: $i,SV19: $i,SV15: $i] :
( ( ( in_environment @ SV15 @ SV19 )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( ~ ( subpopulation @ SV4 @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(226,plain,
! [SV27: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV27 ) )
= $true )
| ( ( ( SV23 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV28: $i,SV24: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( subpopulation @ SV24 @ SV5 @ SV28 ) )
= $true )
| ( ( ( SV24 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(228,plain,
! [SV37: $i,SV29: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV29 @ SV37 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV29 )
| ( constant @ SV29 )
| ( decreases @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV30: $i,SV3: $i] :
( ( ( ! [SY64: $i] :
( SV3
!= ( sum @ SV30 @ SY64 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV30 )
| ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV38: $i,SV31: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV31 @ SV38 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV31 )
| ( constant @ SV38 )
| ( decreases @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(231,plain,
! [SV39: $i,SV32: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV32 @ SV39 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV32 )
| ( constant @ SV39 )
| ( increases @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(232,plain,
! [SV40: $i,SV33: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV33 @ SV40 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV40 )
| ( constant @ SV33 )
| ( decreases @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(233,plain,
! [SV41: $i,SV34: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV34 @ SV41 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV41 )
| ( constant @ SV34 )
| ( increases @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(234,plain,
! [SV42: $i,SV35: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV35 @ SV42 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV42 )
| ( constant @ SV42 )
| ( decreases @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(235,plain,
! [SV43: $i,SV36: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV36 @ SV43 ) )
| ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV43 )
| ( constant @ SV43 )
| ( increases @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(236,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ( ~ ( environment @ SV21 ) )
= $true )
| ( ( ~ ( in_environment @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(237,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ( ~ ( environment @ SV22 ) )
= $true )
| ( ( ~ ( in_environment @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(238,plain,
! [SV19: $i,SV15: $i,SV4: $i] :
( ( ( subpopulation @ SV4 @ SV15 @ SV19 )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( in_environment @ SV15 @ SV19 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(239,plain,
! [SV27: $i,SV23: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV27 ) )
= $true )
| ( ( ( SV23 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(240,plain,
! [SV28: $i,SV24: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( subpopulation @ SV24 @ SV5 @ SV28 ) )
= $true )
| ( ( ( SV24 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(241,plain,
! [SV37: $i,SV29: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV29 @ SV37 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV29 )
| ( constant @ SV29 )
| ( decreases @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(242,plain,
! [SV44: $i,SV30: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV30 @ SV44 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV30 )
| ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(243,plain,
! [SV38: $i,SV31: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV31 @ SV38 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV31 )
| ( constant @ SV38 )
| ( decreases @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(244,plain,
! [SV39: $i,SV32: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV32 @ SV39 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV32 )
| ( constant @ SV39 )
| ( increases @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(245,plain,
! [SV40: $i,SV33: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV33 @ SV40 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV40 )
| ( constant @ SV33 )
| ( decreases @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(246,plain,
! [SV41: $i,SV34: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV34 @ SV41 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV41 )
| ( constant @ SV34 )
| ( increases @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(247,plain,
! [SV42: $i,SV35: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV35 @ SV42 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV42 )
| ( constant @ SV42 )
| ( decreases @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(248,plain,
! [SV43: $i,SV36: $i,SV3: $i] :
( ( ( ( SV3
!= ( sum @ SV36 @ SV43 ) ) )
= $true )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV43 )
| ( constant @ SV43 )
| ( increases @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(249,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ( environment @ SV21 )
= $false )
| ( ( ~ ( in_environment @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(250,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ( environment @ SV22 )
= $false )
| ( ( ~ ( in_environment @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( subpopulation @ SV4 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(251,plain,
! [SV15: $i,SV19: $i,SV4: $i] :
( ( ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero )
= $false )
| ( ( in_environment @ SV15 @ SV19 )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( subpopulation @ SV4 @ SV15 @ SV19 )
= $false )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
| ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(252,plain,
! [SV27: $i,SV5: $i,SV23: $i] :
( ( ( subpopulation @ SV23 @ SV5 @ SV27 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( ( SV23 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(253,plain,
! [SV28: $i,SV5: $i,SV24: $i] :
( ( ( subpopulation @ SV24 @ SV5 @ SV28 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( ( SV24 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(254,plain,
! [SV37: $i,SV29: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV29 @ SV37 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV29 )
| ( constant @ SV29 )
| ( decreases @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(255,plain,
! [SV44: $i,SV30: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV30 @ SV44 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV30 )
| ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(256,plain,
! [SV38: $i,SV31: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV31 @ SV38 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV31 )
| ( constant @ SV38 )
| ( decreases @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(257,plain,
! [SV39: $i,SV32: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV32 @ SV39 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( decreases @ SV32 )
| ( constant @ SV39 )
| ( increases @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(258,plain,
! [SV40: $i,SV33: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV33 @ SV40 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV40 )
| ( constant @ SV33 )
| ( decreases @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(259,plain,
! [SV41: $i,SV34: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV34 @ SV41 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV41 )
| ( constant @ SV34 )
| ( increases @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(260,plain,
! [SV42: $i,SV35: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV35 @ SV42 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV42 )
| ( constant @ SV42 )
| ( decreases @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(261,plain,
! [SV43: $i,SV36: $i,SV3: $i] :
( ( ( SV3
= ( sum @ SV36 @ SV43 ) )
= $false )
| ( ( ~ ( constant @ SV3 ) )
= $true )
| ( ( ( increases @ SV43 )
| ( constant @ SV43 )
| ( increases @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV4: $i,SV25: $i,SV21: $i] :
( ( ( in_environment @ SV21 @ SV25 )
= $false )
| ( ( environment @ SV21 )
= $false )
| ( ( ~ ( subpopulation @ SV4 @ SV21 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV4: $i,SV26: $i,SV22: $i] :
( ( ( in_environment @ SV22 @ SV26 )
= $false )
| ( ( environment @ SV22 )
= $false )
| ( ( ~ ( subpopulation @ SV4 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV15: $i,SV19: $i,SV4: $i] :
( ( ( ~ ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) )
= $true )
| ( ( subpopulation @ SV4 @ SV15 @ SV19 )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( in_environment @ SV15 @ SV19 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(265,plain,
! [SV27: $i,SV5: $i,SV23: $i] :
( ( ( SV23 = efficient_producers )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( subpopulation @ SV23 @ SV5 @ SV27 )
= $false )
| ( ( ( number_of_organizations @ SV5 @ SV27 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV27 ) @ ( cardinality_at_time @ efficient_producers @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(266,plain,
! [SV28: $i,SV5: $i,SV24: $i] :
( ( ( SV24 = first_movers )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( subpopulation @ SV24 @ SV5 @ SV28 )
= $false )
| ( ( ( number_of_organizations @ SV5 @ SV28 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV28 ) @ ( cardinality_at_time @ efficient_producers @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(267,plain,
! [SV37: $i,SV29: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV29 @ SV37 ) )
= $false )
| ( ( ( decreases @ SV29 )
| ( constant @ SV29 )
| ( decreases @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(268,plain,
! [SV44: $i,SV30: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV30 @ SV44 ) )
= $false )
| ( ( ( decreases @ SV30 )
| ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(269,plain,
! [SV38: $i,SV31: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV31 @ SV38 ) )
= $false )
| ( ( ( decreases @ SV31 )
| ( constant @ SV38 )
| ( decreases @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(270,plain,
! [SV39: $i,SV32: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV32 @ SV39 ) )
= $false )
| ( ( ( decreases @ SV32 )
| ( constant @ SV39 )
| ( increases @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(271,plain,
! [SV40: $i,SV33: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV33 @ SV40 ) )
= $false )
| ( ( ( increases @ SV40 )
| ( constant @ SV33 )
| ( decreases @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(272,plain,
! [SV41: $i,SV34: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV34 @ SV41 ) )
= $false )
| ( ( ( increases @ SV41 )
| ( constant @ SV34 )
| ( increases @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(273,plain,
! [SV42: $i,SV35: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV35 @ SV42 ) )
= $false )
| ( ( ( increases @ SV42 )
| ( constant @ SV42 )
| ( decreases @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(274,plain,
! [SV43: $i,SV36: $i,SV3: $i] :
( ( ( constant @ SV3 )
= $false )
| ( ( SV3
= ( sum @ SV36 @ SV43 ) )
= $false )
| ( ( ( increases @ SV43 )
| ( constant @ SV43 )
| ( increases @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV25: $i,SV21: $i,SV4: $i] :
( ( ( subpopulation @ SV4 @ SV21 @ SV25 )
= $false )
| ( ( environment @ SV21 )
= $false )
| ( ( in_environment @ SV21 @ SV25 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV26: $i,SV22: $i,SV4: $i] :
( ( ( subpopulation @ SV4 @ SV22 @ SV26 )
= $false )
| ( ( environment @ SV22 )
= $false )
| ( ( in_environment @ SV22 @ SV26 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV15: $i,SV19: $i,SV4: $i] :
( ( ( decreases @ ( cardinality_at_time @ SV4 @ SV19 ) )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV4 @ SV19 ) )
= $true )
| ( ( subpopulation @ SV4 @ SV15 @ SV19 )
= $false )
| ( ( environment @ SV15 )
= $false )
| ( ( in_environment @ SV15 @ SV19 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV4 @ SV19 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(278,plain,
! [SV3: $i,SV37: $i,SV29: $i] :
( ( ( decreases @ SV29 )
= $true )
| ( ( ( constant @ SV29 )
| ( decreases @ SV37 ) )
= $true )
| ( ( SV3
= ( sum @ SV29 @ SV37 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(279,plain,
! [SV44: $i,SV3: $i,SV30: $i] :
( ( ( decreases @ SV30 )
= $true )
| ( ( ( constant @ SV30 )
| ( increases @ SV30 ) )
= $true )
| ( ( SV3
= ( sum @ SV30 @ SV44 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(280,plain,
! [SV3: $i,SV38: $i,SV31: $i] :
( ( ( decreases @ SV31 )
= $true )
| ( ( ( constant @ SV38 )
| ( decreases @ SV38 ) )
= $true )
| ( ( SV3
= ( sum @ SV31 @ SV38 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(281,plain,
! [SV3: $i,SV39: $i,SV32: $i] :
( ( ( decreases @ SV32 )
= $true )
| ( ( ( constant @ SV39 )
| ( increases @ SV32 ) )
= $true )
| ( ( SV3
= ( sum @ SV32 @ SV39 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(282,plain,
! [SV3: $i,SV33: $i,SV40: $i] :
( ( ( increases @ SV40 )
= $true )
| ( ( ( constant @ SV33 )
| ( decreases @ SV40 ) )
= $true )
| ( ( SV3
= ( sum @ SV33 @ SV40 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(283,plain,
! [SV3: $i,SV34: $i,SV41: $i] :
( ( ( increases @ SV41 )
= $true )
| ( ( ( constant @ SV34 )
| ( increases @ SV34 ) )
= $true )
| ( ( SV3
= ( sum @ SV34 @ SV41 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(284,plain,
! [SV35: $i,SV3: $i,SV42: $i] :
( ( ( increases @ SV42 )
= $true )
| ( ( ( constant @ SV42 )
| ( decreases @ SV42 ) )
= $true )
| ( ( SV3
= ( sum @ SV35 @ SV42 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(285,plain,
! [SV3: $i,SV36: $i,SV43: $i] :
( ( ( increases @ SV43 )
= $true )
| ( ( ( constant @ SV43 )
| ( increases @ SV36 ) )
= $true )
| ( ( SV3
= ( sum @ SV36 @ SV43 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(286,plain,
! [SV21: $i,SV25: $i,SV4: $i] :
( ( ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero )
= $false )
| ( ( in_environment @ SV21 @ SV25 )
= $false )
| ( ( environment @ SV21 )
= $false )
| ( ( subpopulation @ SV4 @ SV21 @ SV25 )
= $false )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
| ( ( growth_rate @ SV4 @ SV25 )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(287,plain,
! [SV22: $i,SV26: $i,SV4: $i] :
( ( ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero )
= $false )
| ( ( in_environment @ SV22 @ SV26 )
= $false )
| ( ( environment @ SV22 )
= $false )
| ( ( subpopulation @ SV4 @ SV22 @ SV26 )
= $false )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
| ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(288,plain,
! [SV3: $i,SV37: $i,SV29: $i] :
( ( ( constant @ SV29 )
= $true )
| ( ( decreases @ SV37 )
= $true )
| ( ( decreases @ SV29 )
= $true )
| ( ( SV3
= ( sum @ SV29 @ SV37 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV44: $i,SV3: $i,SV30: $i] :
( ( ( constant @ SV30 )
= $true )
| ( ( increases @ SV30 )
= $true )
| ( ( decreases @ SV30 )
= $true )
| ( ( SV3
= ( sum @ SV30 @ SV44 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(290,plain,
! [SV3: $i,SV31: $i,SV38: $i] :
( ( ( constant @ SV38 )
= $true )
| ( ( decreases @ SV38 )
= $true )
| ( ( decreases @ SV31 )
= $true )
| ( ( SV3
= ( sum @ SV31 @ SV38 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(291,plain,
! [SV3: $i,SV32: $i,SV39: $i] :
( ( ( constant @ SV39 )
= $true )
| ( ( increases @ SV32 )
= $true )
| ( ( decreases @ SV32 )
= $true )
| ( ( SV3
= ( sum @ SV32 @ SV39 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(292,plain,
! [SV3: $i,SV40: $i,SV33: $i] :
( ( ( constant @ SV33 )
= $true )
| ( ( decreases @ SV40 )
= $true )
| ( ( increases @ SV40 )
= $true )
| ( ( SV3
= ( sum @ SV33 @ SV40 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(293,plain,
! [SV3: $i,SV41: $i,SV34: $i] :
( ( ( constant @ SV34 )
= $true )
| ( ( increases @ SV34 )
= $true )
| ( ( increases @ SV41 )
= $true )
| ( ( SV3
= ( sum @ SV34 @ SV41 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(294,plain,
! [SV35: $i,SV3: $i,SV42: $i] :
( ( ( constant @ SV42 )
= $true )
| ( ( decreases @ SV42 )
= $true )
| ( ( increases @ SV42 )
= $true )
| ( ( SV3
= ( sum @ SV35 @ SV42 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(295,plain,
! [SV3: $i,SV36: $i,SV43: $i] :
( ( ( constant @ SV43 )
= $true )
| ( ( increases @ SV36 )
= $true )
| ( ( increases @ SV43 )
= $true )
| ( ( SV3
= ( sum @ SV36 @ SV43 ) )
= $false )
| ( ( constant @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(296,plain,
! [SV21: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) ) )
= $true )
| ( ( ( growth_rate @ SV4 @ SV25 )
= zero )
= $true )
| ( ( subpopulation @ SV4 @ SV21 @ SV25 )
= $false )
| ( ( environment @ SV21 )
= $false )
| ( ( in_environment @ SV21 @ SV25 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(297,plain,
! [SV22: $i,SV26: $i,SV4: $i] :
( ( ( ~ ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero )
= $true )
| ( ( subpopulation @ SV4 @ SV22 @ SV26 )
= $false )
| ( ( environment @ SV22 )
= $false )
| ( ( in_environment @ SV22 @ SV26 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(298,plain,
! [SV21: $i,SV25: $i,SV4: $i] :
( ( ( constant @ ( cardinality_at_time @ SV4 @ SV25 ) )
= $false )
| ( ( ( growth_rate @ SV4 @ SV25 )
= zero )
= $true )
| ( ( subpopulation @ SV4 @ SV21 @ SV25 )
= $false )
| ( ( environment @ SV21 )
= $false )
| ( ( in_environment @ SV21 @ SV25 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV4 @ SV25 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(299,plain,
! [SV22: $i,SV26: $i,SV4: $i] :
( ( ( increases @ ( cardinality_at_time @ SV4 @ SV26 ) )
= $false )
| ( ( greater @ ( growth_rate @ SV4 @ SV26 ) @ zero )
= $true )
| ( ( subpopulation @ SV4 @ SV22 @ SV26 )
= $false )
| ( ( environment @ SV22 )
= $false )
| ( ( in_environment @ SV22 @ SV26 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV4 @ SV26 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(300,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[40,299,298,295,294,293,292,291,290,289,288,277,266,265,212,186,185,184,169,168,167,166,114,113,42,41]) ).
thf(301,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 9 08:53:19 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.35
% 0.11/0.35 No.of.Axioms: 7
% 0.11/0.35
% 0.11/0.35 Length.of.Defs: 0
% 0.11/0.35
% 0.11/0.35 Contains.Choice.Funs: false
% 0.11/0.36 (rf:0,axioms:7,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:9,loop_count:0,foatp_calls:0,translation:fof_full).....................
% 0.36/0.57
% 0.36/0.57 ********************************
% 0.36/0.57 * All subproblems solved! *
% 0.36/0.57 ********************************
% 0.36/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:300,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.61
% 0.36/0.61 %**** Beginning of derivation protocol ****
% 0.36/0.61 % SZS output start CNFRefutation
% See solution above
% 0.36/0.61
% 0.36/0.61 %**** End of derivation protocol ****
% 0.36/0.61 %**** no. of clauses in derivation: 301 ****
% 0.36/0.61 %**** clause counter: 300 ****
% 0.36/0.61
% 0.36/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:300,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------