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 v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : Unsatisfiable 0.34s 0.54s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 44
% Syntax : Number of formulae : 310 ( 119 unt; 17 typ; 0 def)
% Number of atoms : 2393 ( 797 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 4072 ( 521 ~; 960 |; 0 &;2591 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 721 ( 0 ^ 721 !; 0 ?; 721 :)
% 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,type,
sk1: $i ).
thf(tp_sk2,type,
sk2: $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,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_45) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers_44) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers_43) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_42) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_41) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_40) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_39) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_38) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_37) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_36) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_35) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_34) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_33) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( decreases @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_32) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_31) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_30) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_29) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_28) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_27) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_46) ).
thf(21,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(22,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[21]) ).
thf(23,negated_conjecture,
( ~ ( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7_52) ).
thf(24,negated_conjecture,
( ~ ( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7_51) ).
thf(25,negated_conjecture,
( ( ( growth_rate @ first_movers @ sk2 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sk2 )
!= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7_50) ).
thf(26,negated_conjecture,
constant @ ( number_of_organizations @ sk1 @ sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7_49) ).
thf(27,negated_conjecture,
subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7_48) ).
thf(28,negated_conjecture,
environment @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7_47) ).
thf(29,plain,
$false = $false,
inference(unfold_def,[status(thm)],[22]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(33,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(36,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(37,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(42,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(43,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( decreases @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(46,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(47,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(50,plain,
( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(51,plain,
( ( ~ ( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(52,plain,
( ( ( ( growth_rate @ first_movers @ sk2 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sk2 )
!= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(53,plain,
( ( constant @ ( number_of_organizations @ sk1 @ sk2 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(54,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(55,plain,
( ( environment @ sk1 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(56,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(57,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(58,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(59,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(60,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(61,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(62,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(66,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ B )
| ( increases @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ B )
| ( increases @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(71,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(72,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(73,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(74,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(75,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(76,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(77,plain,
( ( ( ( growth_rate @ first_movers @ sk2 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sk2 )
!= zero ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(78,plain,
( ( environment @ sk1 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(79,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(80,plain,
( ( constant @ ( number_of_organizations @ sk1 @ sk2 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(81,plain,
( ( ( ( growth_rate @ first_movers @ sk2 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sk2 )
!= zero ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(82,plain,
( ( ~ ( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(83,plain,
( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(84,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( B = efficient_producers )
| ( B = first_movers ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(85,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) )
| ( greater @ ( cardinality_at_time @ B @ C ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(86,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ( B != efficient_producers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(87,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i,C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ( B != first_movers )
| ( ( number_of_organizations @ A @ C )
= ( sum @ ( cardinality_at_time @ first_movers @ C ) @ ( cardinality_at_time @ efficient_producers @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(88,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(89,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ B )
| ( increases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(91,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(92,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(93,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ B )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(94,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ B )
| ( increases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(95,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( increases @ B )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(96,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( decreases @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( constant @ A )
| ( constant @ C )
| ( decreases @ C )
| ( increases @ C ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(98,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ C @ B ) )
| ( ( growth_rate @ C @ B )
= zero ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(99,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ ( growth_rate @ C @ B ) @ zero ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(100,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( subpopulation @ C @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ C @ B ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ C @ B ) )
| ( greater @ zero @ ( growth_rate @ C @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(101,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(102,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(103,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ( in_environment @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(104,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(105,plain,
( ( ( ( ( growth_rate @ first_movers @ sk2 )
!= zero ) )
= $true )
| ( ( ( ( growth_rate @ efficient_producers @ sk2 )
!= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(106,plain,
( ( ( ~ ( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(107,plain,
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(108,plain,
! [SV1: $i] :
( ( ~ ( environment @ SV1 )
| ! [SY55: $i,SY56: $i] :
( ~ ( subpopulation @ SY55 @ SV1 @ SY56 )
| ~ ( greater @ ( cardinality_at_time @ SY55 @ SY56 ) @ zero )
| ( SY55 = efficient_producers )
| ( SY55 = first_movers ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(109,plain,
! [SV2: $i] :
( ( ~ ( environment @ SV2 )
| ! [SY57: $i,SY58: $i] :
( ~ ( subpopulation @ SY57 @ SV2 @ SY58 )
| ( ( number_of_organizations @ SV2 @ SY58 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY58 ) @ ( cardinality_at_time @ efficient_producers @ SY58 ) ) )
| ( greater @ ( cardinality_at_time @ SY57 @ SY58 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(110,plain,
! [SV3: $i] :
( ( ~ ( environment @ SV3 )
| ! [SY59: $i,SY60: $i] :
( ~ ( subpopulation @ SY59 @ SV3 @ SY60 )
| ( SY59 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SY60 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY60 ) @ ( cardinality_at_time @ efficient_producers @ SY60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(111,plain,
! [SV4: $i] :
( ( ~ ( environment @ SV4 )
| ! [SY61: $i,SY62: $i] :
( ~ ( subpopulation @ SY61 @ SV4 @ SY62 )
| ( SY61 != first_movers )
| ( ( number_of_organizations @ SV4 @ SY62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY62 ) @ ( cardinality_at_time @ efficient_producers @ SY62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(112,plain,
! [SV5: $i] :
( ( ~ ( environment @ SV5 )
| ! [SY63: $i] :
( ~ ( in_environment @ SV5 @ SY63 )
| ( subpopulation @ first_movers @ SV5 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(113,plain,
! [SV6: $i] :
( ( ~ ( environment @ SV6 )
| ! [SY64: $i] :
( ~ ( in_environment @ SV6 @ SY64 )
| ( subpopulation @ efficient_producers @ SV6 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(114,plain,
! [SV7: $i] :
( ( ! [SY65: $i] :
( ! [SY66: $i] :
( SV7
!= ( sum @ SY65 @ SY66 ) )
| ~ ( constant @ SV7 )
| ( constant @ SY65 )
| ( decreases @ SY65 )
| ( increases @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(115,plain,
! [SV8: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ( SV8
!= ( sum @ SY67 @ SY68 ) )
| ~ ( constant @ SV8 )
| ( constant @ SY67 )
| ( increases @ SY67 )
| ( increases @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(116,plain,
! [SV9: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ( SV9
!= ( sum @ SY69 @ SY70 ) )
| ~ ( constant @ SV9 )
| ( constant @ SY69 )
| ( decreases @ SY70 )
| ( decreases @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(117,plain,
! [SV10: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ( SV10
!= ( sum @ SY71 @ SY72 ) )
| ~ ( constant @ SV10 )
| ( constant @ SY71 )
| ( decreases @ SY72 )
| ( increases @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(118,plain,
! [SV11: $i] :
( ( ! [SY73: $i,SY74: $i] :
( ( SV11
!= ( sum @ SY73 @ SY74 ) )
| ~ ( constant @ SV11 )
| ( constant @ SY74 )
| ( decreases @ SY73 )
| ( increases @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(119,plain,
! [SV12: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ( SV12
!= ( sum @ SY75 @ SY76 ) )
| ~ ( constant @ SV12 )
| ( constant @ SY76 )
| ( increases @ SY75 )
| ( increases @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(120,plain,
! [SV13: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ( SV13
!= ( sum @ SY77 @ SY78 ) )
| ~ ( constant @ SV13 )
| ( constant @ SY78 )
| ( decreases @ SY78 )
| ( decreases @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(121,plain,
! [SV14: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ( SV14
!= ( sum @ SY79 @ SY80 ) )
| ~ ( constant @ SV14 )
| ( constant @ SY80 )
| ( decreases @ SY80 )
| ( increases @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(122,plain,
! [SV15: $i] :
( ( ~ ( environment @ SV15 )
| ! [SY81: $i] :
( ~ ( in_environment @ SV15 @ SY81 )
| ! [SY82: $i] :
( ~ ( subpopulation @ SY82 @ SV15 @ SY81 )
| ~ ( greater @ ( cardinality_at_time @ SY82 @ SY81 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY82 @ SY81 ) )
| ( ( growth_rate @ SY82 @ SY81 )
= zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(123,plain,
! [SV16: $i] :
( ( ~ ( environment @ SV16 )
| ! [SY83: $i] :
( ~ ( in_environment @ SV16 @ SY83 )
| ! [SY84: $i] :
( ~ ( subpopulation @ SY84 @ SV16 @ SY83 )
| ~ ( greater @ ( cardinality_at_time @ SY84 @ SY83 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY84 @ SY83 ) )
| ( greater @ ( growth_rate @ SY84 @ SY83 ) @ zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(124,plain,
! [SV17: $i] :
( ( ~ ( environment @ SV17 )
| ! [SY85: $i] :
( ~ ( in_environment @ SV17 @ SY85 )
| ! [SY86: $i] :
( ~ ( subpopulation @ SY86 @ SV17 @ SY85 )
| ~ ( greater @ ( cardinality_at_time @ SY86 @ SY85 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY86 @ SY85 ) )
| ( greater @ zero @ ( growth_rate @ SY86 @ SY85 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(125,plain,
! [SV18: $i] :
( ( ~ ( environment @ SV18 )
| ! [SY87: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SY87 )
| ( greater @ ( cardinality_at_time @ first_movers @ SY87 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(126,plain,
! [SV19: $i] :
( ( ~ ( environment @ SV19 )
| ! [SY88: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SY88 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY88 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(127,plain,
! [SV20: $i] :
( ( ~ ( environment @ SV20 )
| ! [SY89: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY89 )
| ( in_environment @ SV20 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(128,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(129,plain,
( ( ( ( growth_rate @ first_movers @ sk2 )
= zero )
= $false )
| ( ( ( ( growth_rate @ efficient_producers @ sk2 )
!= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(130,plain,
( ( ( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(131,plain,
( ( ( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(132,plain,
! [SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ! [SY55: $i,SY56: $i] :
( ~ ( subpopulation @ SY55 @ SV1 @ SY56 )
| ~ ( greater @ ( cardinality_at_time @ SY55 @ SY56 ) @ zero )
| ( SY55 = efficient_producers )
| ( SY55 = first_movers ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(133,plain,
! [SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ! [SY57: $i,SY58: $i] :
( ~ ( subpopulation @ SY57 @ SV2 @ SY58 )
| ( ( number_of_organizations @ SV2 @ SY58 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY58 ) @ ( cardinality_at_time @ efficient_producers @ SY58 ) ) )
| ( greater @ ( cardinality_at_time @ SY57 @ SY58 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(134,plain,
! [SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ! [SY59: $i,SY60: $i] :
( ~ ( subpopulation @ SY59 @ SV3 @ SY60 )
| ( SY59 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SY60 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY60 ) @ ( cardinality_at_time @ efficient_producers @ SY60 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(135,plain,
! [SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ! [SY61: $i,SY62: $i] :
( ~ ( subpopulation @ SY61 @ SV4 @ SY62 )
| ( SY61 != first_movers )
| ( ( number_of_organizations @ SV4 @ SY62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY62 ) @ ( cardinality_at_time @ efficient_producers @ SY62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(136,plain,
! [SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( in_environment @ SV5 @ SY63 )
| ( subpopulation @ first_movers @ SV5 @ SY63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(137,plain,
! [SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( in_environment @ SV6 @ SY64 )
| ( subpopulation @ efficient_producers @ SV6 @ SY64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(138,plain,
! [SV21: $i,SV7: $i] :
( ( ! [SY90: $i] :
( SV7
!= ( sum @ SV21 @ SY90 ) )
| ~ ( constant @ SV7 )
| ( constant @ SV21 )
| ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(139,plain,
! [SV22: $i,SV8: $i] :
( ( ! [SY91: $i] :
( ( SV8
!= ( sum @ SV22 @ SY91 ) )
| ~ ( constant @ SV8 )
| ( constant @ SV22 )
| ( increases @ SV22 )
| ( increases @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(140,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY92: $i] :
( ( SV9
!= ( sum @ SV23 @ SY92 ) )
| ~ ( constant @ SV9 )
| ( constant @ SV23 )
| ( decreases @ SY92 )
| ( decreases @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(141,plain,
! [SV24: $i,SV10: $i] :
( ( ! [SY93: $i] :
( ( SV10
!= ( sum @ SV24 @ SY93 ) )
| ~ ( constant @ SV10 )
| ( constant @ SV24 )
| ( decreases @ SY93 )
| ( increases @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(142,plain,
! [SV25: $i,SV11: $i] :
( ( ! [SY94: $i] :
( ( SV11
!= ( sum @ SV25 @ SY94 ) )
| ~ ( constant @ SV11 )
| ( constant @ SY94 )
| ( decreases @ SV25 )
| ( increases @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY95: $i] :
( ( SV12
!= ( sum @ SV26 @ SY95 ) )
| ~ ( constant @ SV12 )
| ( constant @ SY95 )
| ( increases @ SV26 )
| ( increases @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(144,plain,
! [SV27: $i,SV13: $i] :
( ( ! [SY96: $i] :
( ( SV13
!= ( sum @ SV27 @ SY96 ) )
| ~ ( constant @ SV13 )
| ( constant @ SY96 )
| ( decreases @ SY96 )
| ( decreases @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(145,plain,
! [SV28: $i,SV14: $i] :
( ( ! [SY97: $i] :
( ( SV14
!= ( sum @ SV28 @ SY97 ) )
| ~ ( constant @ SV14 )
| ( constant @ SY97 )
| ( decreases @ SY97 )
| ( increases @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(146,plain,
! [SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( in_environment @ SV15 @ SY81 )
| ! [SY82: $i] :
( ~ ( subpopulation @ SY82 @ SV15 @ SY81 )
| ~ ( greater @ ( cardinality_at_time @ SY82 @ SY81 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY82 @ SY81 ) )
| ( ( growth_rate @ SY82 @ SY81 )
= zero ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(147,plain,
! [SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ! [SY83: $i] :
( ~ ( in_environment @ SV16 @ SY83 )
| ! [SY84: $i] :
( ~ ( subpopulation @ SY84 @ SV16 @ SY83 )
| ~ ( greater @ ( cardinality_at_time @ SY84 @ SY83 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY84 @ SY83 ) )
| ( greater @ ( growth_rate @ SY84 @ SY83 ) @ zero ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ! [SY85: $i] :
( ~ ( in_environment @ SV17 @ SY85 )
| ! [SY86: $i] :
( ~ ( subpopulation @ SY86 @ SV17 @ SY85 )
| ~ ( greater @ ( cardinality_at_time @ SY86 @ SY85 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY86 @ SY85 ) )
| ( greater @ zero @ ( growth_rate @ SY86 @ SY85 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV18: $i] :
( ( ( ~ ( environment @ SV18 ) )
= $true )
| ( ( ! [SY87: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SY87 )
| ( greater @ ( cardinality_at_time @ first_movers @ SY87 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(150,plain,
! [SV19: $i] :
( ( ( ~ ( environment @ SV19 ) )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SY88 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY88 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(151,plain,
! [SV20: $i] :
( ( ( ~ ( environment @ SV20 ) )
= $true )
| ( ( ! [SY89: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY89 )
| ( in_environment @ SV20 @ SY89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(152,plain,
( ( ( ( growth_rate @ efficient_producers @ sk2 )
= zero )
= $false )
| ( ( ( growth_rate @ first_movers @ sk2 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(153,plain,
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) )
= $false )
| ( ( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(154,plain,
( ( ( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(155,plain,
! [SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ! [SY55: $i,SY56: $i] :
( ~ ( subpopulation @ SY55 @ SV1 @ SY56 )
| ~ ( greater @ ( cardinality_at_time @ SY55 @ SY56 ) @ zero )
| ( SY55 = efficient_producers )
| ( SY55 = first_movers ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ! [SY57: $i,SY58: $i] :
( ~ ( subpopulation @ SY57 @ SV2 @ SY58 )
| ( ( number_of_organizations @ SV2 @ SY58 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY58 ) @ ( cardinality_at_time @ efficient_producers @ SY58 ) ) )
| ( greater @ ( cardinality_at_time @ SY57 @ SY58 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(157,plain,
! [SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ! [SY59: $i,SY60: $i] :
( ~ ( subpopulation @ SY59 @ SV3 @ SY60 )
| ( SY59 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SY60 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY60 ) @ ( cardinality_at_time @ efficient_producers @ SY60 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(158,plain,
! [SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ! [SY61: $i,SY62: $i] :
( ~ ( subpopulation @ SY61 @ SV4 @ SY62 )
| ( SY61 != first_movers )
| ( ( number_of_organizations @ SV4 @ SY62 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY62 ) @ ( cardinality_at_time @ efficient_producers @ SY62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(159,plain,
! [SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( in_environment @ SV5 @ SY63 )
| ( subpopulation @ first_movers @ SV5 @ SY63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(160,plain,
! [SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( in_environment @ SV6 @ SY64 )
| ( subpopulation @ efficient_producers @ SV6 @ SY64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(161,plain,
! [SV21: $i,SV7: $i] :
( ( ( ! [SY90: $i] :
( SV7
!= ( sum @ SV21 @ SY90 ) ) )
= $true )
| ( ( ~ ( constant @ SV7 )
| ( constant @ SV21 )
| ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(162,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( SV8
!= ( sum @ SV22 @ SV29 ) )
| ~ ( constant @ SV8 )
| ( constant @ SV22 )
| ( increases @ SV22 )
| ( increases @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(163,plain,
! [SV30: $i,SV23: $i,SV9: $i] :
( ( ( SV9
!= ( sum @ SV23 @ SV30 ) )
| ~ ( constant @ SV9 )
| ( constant @ SV23 )
| ( decreases @ SV30 )
| ( decreases @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(164,plain,
! [SV31: $i,SV24: $i,SV10: $i] :
( ( ( SV10
!= ( sum @ SV24 @ SV31 ) )
| ~ ( constant @ SV10 )
| ( constant @ SV24 )
| ( decreases @ SV31 )
| ( increases @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(165,plain,
! [SV32: $i,SV25: $i,SV11: $i] :
( ( ( SV11
!= ( sum @ SV25 @ SV32 ) )
| ~ ( constant @ SV11 )
| ( constant @ SV32 )
| ( decreases @ SV25 )
| ( increases @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(166,plain,
! [SV33: $i,SV26: $i,SV12: $i] :
( ( ( SV12
!= ( sum @ SV26 @ SV33 ) )
| ~ ( constant @ SV12 )
| ( constant @ SV33 )
| ( increases @ SV26 )
| ( increases @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(167,plain,
! [SV34: $i,SV27: $i,SV13: $i] :
( ( ( SV13
!= ( sum @ SV27 @ SV34 ) )
| ~ ( constant @ SV13 )
| ( constant @ SV34 )
| ( decreases @ SV34 )
| ( decreases @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(168,plain,
! [SV35: $i,SV28: $i,SV14: $i] :
( ( ( SV14
!= ( sum @ SV28 @ SV35 ) )
| ~ ( constant @ SV14 )
| ( constant @ SV35 )
| ( decreases @ SV35 )
| ( increases @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(169,plain,
! [SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( ! [SY81: $i] :
( ~ ( in_environment @ SV15 @ SY81 )
| ! [SY82: $i] :
( ~ ( subpopulation @ SY82 @ SV15 @ SY81 )
| ~ ( greater @ ( cardinality_at_time @ SY82 @ SY81 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY82 @ SY81 ) )
| ( ( growth_rate @ SY82 @ SY81 )
= zero ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ! [SY83: $i] :
( ~ ( in_environment @ SV16 @ SY83 )
| ! [SY84: $i] :
( ~ ( subpopulation @ SY84 @ SV16 @ SY83 )
| ~ ( greater @ ( cardinality_at_time @ SY84 @ SY83 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY84 @ SY83 ) )
| ( greater @ ( growth_rate @ SY84 @ SY83 ) @ zero ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(171,plain,
! [SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( in_environment @ SV17 @ SY85 )
| ! [SY86: $i] :
( ~ ( subpopulation @ SY86 @ SV17 @ SY85 )
| ~ ( greater @ ( cardinality_at_time @ SY86 @ SY85 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY86 @ SY85 ) )
| ( greater @ zero @ ( growth_rate @ SY86 @ SY85 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(172,plain,
! [SV18: $i] :
( ( ( environment @ SV18 )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SY87 )
| ( greater @ ( cardinality_at_time @ first_movers @ SY87 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(173,plain,
! [SV19: $i] :
( ( ( environment @ SV19 )
= $false )
| ( ( ! [SY88: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SY88 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY88 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(174,plain,
! [SV20: $i] :
( ( ( environment @ SV20 )
= $false )
| ( ( ! [SY89: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SY89 )
| ( in_environment @ SV20 @ SY89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(175,plain,
! [SV1: $i,SV36: $i] :
( ( ( ! [SY98: $i] :
( ~ ( subpopulation @ SV36 @ SV1 @ SY98 )
| ~ ( greater @ ( cardinality_at_time @ SV36 @ SY98 ) @ zero )
| ( SV36 = efficient_producers )
| ( SV36 = first_movers ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(176,plain,
! [SV2: $i,SV37: $i] :
( ( ( ! [SY99: $i] :
( ~ ( subpopulation @ SV37 @ SV2 @ SY99 )
| ( ( number_of_organizations @ SV2 @ SY99 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY99 ) @ ( cardinality_at_time @ efficient_producers @ SY99 ) ) )
| ( greater @ ( cardinality_at_time @ SV37 @ SY99 ) @ zero ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(177,plain,
! [SV3: $i,SV38: $i] :
( ( ( ! [SY100: $i] :
( ~ ( subpopulation @ SV38 @ SV3 @ SY100 )
| ( SV38 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SY100 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY100 ) @ ( cardinality_at_time @ efficient_producers @ SY100 ) ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(178,plain,
! [SV4: $i,SV39: $i] :
( ( ( ! [SY101: $i] :
( ~ ( subpopulation @ SV39 @ SV4 @ SY101 )
| ( SV39 != first_movers )
| ( ( number_of_organizations @ SV4 @ SY101 )
= ( sum @ ( cardinality_at_time @ first_movers @ SY101 ) @ ( cardinality_at_time @ efficient_producers @ SY101 ) ) ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(179,plain,
! [SV40: $i,SV5: $i] :
( ( ( ~ ( in_environment @ SV5 @ SV40 )
| ( subpopulation @ first_movers @ SV5 @ SV40 ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(180,plain,
! [SV41: $i,SV6: $i] :
( ( ( ~ ( in_environment @ SV6 @ SV41 )
| ( subpopulation @ efficient_producers @ SV6 @ SV41 ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(181,plain,
! [SV42: $i,SV21: $i,SV7: $i] :
( ( ( ( SV7
!= ( sum @ SV21 @ SV42 ) ) )
= $true )
| ( ( ~ ( constant @ SV7 )
| ( constant @ SV21 )
| ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(182,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( ( SV8
!= ( sum @ SV22 @ SV29 ) ) )
= $true )
| ( ( ~ ( constant @ SV8 )
| ( constant @ SV22 )
| ( increases @ SV22 )
| ( increases @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(183,plain,
! [SV30: $i,SV23: $i,SV9: $i] :
( ( ( ( SV9
!= ( sum @ SV23 @ SV30 ) ) )
= $true )
| ( ( ~ ( constant @ SV9 )
| ( constant @ SV23 )
| ( decreases @ SV30 )
| ( decreases @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(184,plain,
! [SV31: $i,SV24: $i,SV10: $i] :
( ( ( ( SV10
!= ( sum @ SV24 @ SV31 ) ) )
= $true )
| ( ( ~ ( constant @ SV10 )
| ( constant @ SV24 )
| ( decreases @ SV31 )
| ( increases @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(185,plain,
! [SV32: $i,SV25: $i,SV11: $i] :
( ( ( ( SV11
!= ( sum @ SV25 @ SV32 ) ) )
= $true )
| ( ( ~ ( constant @ SV11 )
| ( constant @ SV32 )
| ( decreases @ SV25 )
| ( increases @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(186,plain,
! [SV33: $i,SV26: $i,SV12: $i] :
( ( ( ( SV12
!= ( sum @ SV26 @ SV33 ) ) )
= $true )
| ( ( ~ ( constant @ SV12 )
| ( constant @ SV33 )
| ( increases @ SV26 )
| ( increases @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(187,plain,
! [SV34: $i,SV27: $i,SV13: $i] :
( ( ( ( SV13
!= ( sum @ SV27 @ SV34 ) ) )
= $true )
| ( ( ~ ( constant @ SV13 )
| ( constant @ SV34 )
| ( decreases @ SV34 )
| ( decreases @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(188,plain,
! [SV35: $i,SV28: $i,SV14: $i] :
( ( ( ( SV14
!= ( sum @ SV28 @ SV35 ) ) )
= $true )
| ( ( ~ ( constant @ SV14 )
| ( constant @ SV35 )
| ( decreases @ SV35 )
| ( increases @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(189,plain,
! [SV43: $i,SV15: $i] :
( ( ( ~ ( in_environment @ SV15 @ SV43 )
| ! [SY102: $i] :
( ~ ( subpopulation @ SY102 @ SV15 @ SV43 )
| ~ ( greater @ ( cardinality_at_time @ SY102 @ SV43 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY102 @ SV43 ) )
| ( ( growth_rate @ SY102 @ SV43 )
= zero ) ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(190,plain,
! [SV44: $i,SV16: $i] :
( ( ( ~ ( in_environment @ SV16 @ SV44 )
| ! [SY103: $i] :
( ~ ( subpopulation @ SY103 @ SV16 @ SV44 )
| ~ ( greater @ ( cardinality_at_time @ SY103 @ SV44 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY103 @ SV44 ) )
| ( greater @ ( growth_rate @ SY103 @ SV44 ) @ zero ) ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(191,plain,
! [SV45: $i,SV17: $i] :
( ( ( ~ ( in_environment @ SV17 @ SV45 )
| ! [SY104: $i] :
( ~ ( subpopulation @ SY104 @ SV17 @ SV45 )
| ~ ( greater @ ( cardinality_at_time @ SY104 @ SV45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY104 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SY104 @ SV45 ) ) ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(192,plain,
! [SV46: $i,SV18: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV46 )
| ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero ) )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(193,plain,
! [SV47: $i,SV19: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV47 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero ) )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(194,plain,
! [SV48: $i,SV20: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV48 )
| ( in_environment @ SV20 @ SV48 ) )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(195,plain,
! [SV49: $i,SV1: $i,SV36: $i] :
( ( ( ~ ( subpopulation @ SV36 @ SV1 @ SV49 )
| ~ ( greater @ ( cardinality_at_time @ SV36 @ SV49 ) @ zero )
| ( SV36 = efficient_producers )
| ( SV36 = first_movers ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(196,plain,
! [SV50: $i,SV2: $i,SV37: $i] :
( ( ( ~ ( subpopulation @ SV37 @ SV2 @ SV50 )
| ( ( number_of_organizations @ SV2 @ SV50 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV50 ) @ ( cardinality_at_time @ efficient_producers @ SV50 ) ) )
| ( greater @ ( cardinality_at_time @ SV37 @ SV50 ) @ zero ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(197,plain,
! [SV51: $i,SV3: $i,SV38: $i] :
( ( ( ~ ( subpopulation @ SV38 @ SV3 @ SV51 )
| ( SV38 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SV51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV51 ) @ ( cardinality_at_time @ efficient_producers @ SV51 ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(198,plain,
! [SV52: $i,SV4: $i,SV39: $i] :
( ( ( ~ ( subpopulation @ SV39 @ SV4 @ SV52 )
| ( SV39 != first_movers )
| ( ( number_of_organizations @ SV4 @ SV52 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV52 ) @ ( cardinality_at_time @ efficient_producers @ SV52 ) ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(199,plain,
! [SV40: $i,SV5: $i] :
( ( ( ~ ( in_environment @ SV5 @ SV40 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV5 @ SV40 )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(200,plain,
! [SV41: $i,SV6: $i] :
( ( ( ~ ( in_environment @ SV6 @ SV41 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV6 @ SV41 )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(201,plain,
! [SV42: $i,SV21: $i,SV7: $i] :
( ( ( SV7
= ( sum @ SV21 @ SV42 ) )
= $false )
| ( ( ~ ( constant @ SV7 )
| ( constant @ SV21 )
| ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(202,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( SV8
= ( sum @ SV22 @ SV29 ) )
= $false )
| ( ( ~ ( constant @ SV8 )
| ( constant @ SV22 )
| ( increases @ SV22 )
| ( increases @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(203,plain,
! [SV30: $i,SV23: $i,SV9: $i] :
( ( ( SV9
= ( sum @ SV23 @ SV30 ) )
= $false )
| ( ( ~ ( constant @ SV9 )
| ( constant @ SV23 )
| ( decreases @ SV30 )
| ( decreases @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(204,plain,
! [SV31: $i,SV24: $i,SV10: $i] :
( ( ( SV10
= ( sum @ SV24 @ SV31 ) )
= $false )
| ( ( ~ ( constant @ SV10 )
| ( constant @ SV24 )
| ( decreases @ SV31 )
| ( increases @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(205,plain,
! [SV32: $i,SV25: $i,SV11: $i] :
( ( ( SV11
= ( sum @ SV25 @ SV32 ) )
= $false )
| ( ( ~ ( constant @ SV11 )
| ( constant @ SV32 )
| ( decreases @ SV25 )
| ( increases @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(206,plain,
! [SV33: $i,SV26: $i,SV12: $i] :
( ( ( SV12
= ( sum @ SV26 @ SV33 ) )
= $false )
| ( ( ~ ( constant @ SV12 )
| ( constant @ SV33 )
| ( increases @ SV26 )
| ( increases @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(207,plain,
! [SV34: $i,SV27: $i,SV13: $i] :
( ( ( SV13
= ( sum @ SV27 @ SV34 ) )
= $false )
| ( ( ~ ( constant @ SV13 )
| ( constant @ SV34 )
| ( decreases @ SV34 )
| ( decreases @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(208,plain,
! [SV35: $i,SV28: $i,SV14: $i] :
( ( ( SV14
= ( sum @ SV28 @ SV35 ) )
= $false )
| ( ( ~ ( constant @ SV14 )
| ( constant @ SV35 )
| ( decreases @ SV35 )
| ( increases @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(209,plain,
! [SV43: $i,SV15: $i] :
( ( ( ~ ( in_environment @ SV15 @ SV43 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( subpopulation @ SY102 @ SV15 @ SV43 )
| ~ ( greater @ ( cardinality_at_time @ SY102 @ SV43 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY102 @ SV43 ) )
| ( ( growth_rate @ SY102 @ SV43 )
= zero ) ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(210,plain,
! [SV44: $i,SV16: $i] :
( ( ( ~ ( in_environment @ SV16 @ SV44 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( subpopulation @ SY103 @ SV16 @ SV44 )
| ~ ( greater @ ( cardinality_at_time @ SY103 @ SV44 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY103 @ SV44 ) )
| ( greater @ ( growth_rate @ SY103 @ SV44 ) @ zero ) ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(211,plain,
! [SV45: $i,SV17: $i] :
( ( ( ~ ( in_environment @ SV17 @ SV45 ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( subpopulation @ SY104 @ SV17 @ SV45 )
| ~ ( greater @ ( cardinality_at_time @ SY104 @ SV45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY104 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SY104 @ SV45 ) ) ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(212,plain,
! [SV46: $i,SV18: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV46 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(213,plain,
! [SV47: $i,SV19: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV47 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(214,plain,
! [SV48: $i,SV20: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV48 ) )
= $true )
| ( ( in_environment @ SV20 @ SV48 )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(215,plain,
! [SV49: $i,SV1: $i,SV36: $i] :
( ( ( ~ ( subpopulation @ SV36 @ SV1 @ SV49 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV36 @ SV49 ) @ zero )
| ( SV36 = efficient_producers )
| ( SV36 = first_movers ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(216,plain,
! [SV50: $i,SV2: $i,SV37: $i] :
( ( ( ~ ( subpopulation @ SV37 @ SV2 @ SV50 ) )
= $true )
| ( ( ( ( number_of_organizations @ SV2 @ SV50 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV50 ) @ ( cardinality_at_time @ efficient_producers @ SV50 ) ) )
| ( greater @ ( cardinality_at_time @ SV37 @ SV50 ) @ zero ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(217,plain,
! [SV51: $i,SV3: $i,SV38: $i] :
( ( ( ~ ( subpopulation @ SV38 @ SV3 @ SV51 ) )
= $true )
| ( ( ( SV38 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SV51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV51 ) @ ( cardinality_at_time @ efficient_producers @ SV51 ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(218,plain,
! [SV52: $i,SV4: $i,SV39: $i] :
( ( ( ~ ( subpopulation @ SV39 @ SV4 @ SV52 ) )
= $true )
| ( ( ( SV39 != first_movers )
| ( ( number_of_organizations @ SV4 @ SV52 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV52 ) @ ( cardinality_at_time @ efficient_producers @ SV52 ) ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(219,plain,
! [SV40: $i,SV5: $i] :
( ( ( in_environment @ SV5 @ SV40 )
= $false )
| ( ( subpopulation @ first_movers @ SV5 @ SV40 )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(220,plain,
! [SV41: $i,SV6: $i] :
( ( ( in_environment @ SV6 @ SV41 )
= $false )
| ( ( subpopulation @ efficient_producers @ SV6 @ SV41 )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(221,plain,
! [SV42: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( constant @ SV7 ) )
= $true )
| ( ( ( constant @ SV21 )
| ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true )
| ( ( SV7
= ( sum @ SV21 @ SV42 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(222,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( constant @ SV8 ) )
= $true )
| ( ( ( constant @ SV22 )
| ( increases @ SV22 )
| ( increases @ SV29 ) )
= $true )
| ( ( SV8
= ( sum @ SV22 @ SV29 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(223,plain,
! [SV30: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( constant @ SV9 ) )
= $true )
| ( ( ( constant @ SV23 )
| ( decreases @ SV30 )
| ( decreases @ SV23 ) )
= $true )
| ( ( SV9
= ( sum @ SV23 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(224,plain,
! [SV31: $i,SV24: $i,SV10: $i] :
( ( ( ~ ( constant @ SV10 ) )
= $true )
| ( ( ( constant @ SV24 )
| ( decreases @ SV31 )
| ( increases @ SV31 ) )
= $true )
| ( ( SV10
= ( sum @ SV24 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(225,plain,
! [SV25: $i,SV32: $i,SV11: $i] :
( ( ( ~ ( constant @ SV11 ) )
= $true )
| ( ( ( constant @ SV32 )
| ( decreases @ SV25 )
| ( increases @ SV25 ) )
= $true )
| ( ( SV11
= ( sum @ SV25 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(226,plain,
! [SV26: $i,SV33: $i,SV12: $i] :
( ( ( ~ ( constant @ SV12 ) )
= $true )
| ( ( ( constant @ SV33 )
| ( increases @ SV26 )
| ( increases @ SV33 ) )
= $true )
| ( ( SV12
= ( sum @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(227,plain,
! [SV27: $i,SV34: $i,SV13: $i] :
( ( ( ~ ( constant @ SV13 ) )
= $true )
| ( ( ( constant @ SV34 )
| ( decreases @ SV34 )
| ( decreases @ SV27 ) )
= $true )
| ( ( SV13
= ( sum @ SV27 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(228,plain,
! [SV28: $i,SV35: $i,SV14: $i] :
( ( ( ~ ( constant @ SV14 ) )
= $true )
| ( ( ( constant @ SV35 )
| ( decreases @ SV35 )
| ( increases @ SV35 ) )
= $true )
| ( ( SV14
= ( sum @ SV28 @ SV35 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(229,plain,
! [SV43: $i,SV15: $i] :
( ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( subpopulation @ SY102 @ SV15 @ SV43 )
| ~ ( greater @ ( cardinality_at_time @ SY102 @ SV43 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SY102 @ SV43 ) )
| ( ( growth_rate @ SY102 @ SV43 )
= zero ) ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(230,plain,
! [SV44: $i,SV16: $i] :
( ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( subpopulation @ SY103 @ SV16 @ SV44 )
| ~ ( greater @ ( cardinality_at_time @ SY103 @ SV44 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SY103 @ SV44 ) )
| ( greater @ ( growth_rate @ SY103 @ SV44 ) @ zero ) ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(231,plain,
! [SV45: $i,SV17: $i] :
( ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( subpopulation @ SY104 @ SV17 @ SV45 )
| ~ ( greater @ ( cardinality_at_time @ SY104 @ SV45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SY104 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SY104 @ SV45 ) ) ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(232,plain,
! [SV46: $i,SV18: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV18 @ SV46 )
= $false )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV46 ) @ zero )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(233,plain,
! [SV47: $i,SV19: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV19 @ SV47 )
= $false )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV47 ) @ zero )
= $true )
| ( ( environment @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(234,plain,
! [SV48: $i,SV20: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV20 @ SV48 )
= $false )
| ( ( in_environment @ SV20 @ SV48 )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(235,plain,
! [SV49: $i,SV1: $i,SV36: $i] :
( ( ( subpopulation @ SV36 @ SV1 @ SV49 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV36 @ SV49 ) @ zero )
| ( SV36 = efficient_producers )
| ( SV36 = first_movers ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(236,plain,
! [SV50: $i,SV2: $i,SV37: $i] :
( ( ( subpopulation @ SV37 @ SV2 @ SV50 )
= $false )
| ( ( ( ( number_of_organizations @ SV2 @ SV50 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV50 ) @ ( cardinality_at_time @ efficient_producers @ SV50 ) ) )
| ( greater @ ( cardinality_at_time @ SV37 @ SV50 ) @ zero ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(237,plain,
! [SV51: $i,SV3: $i,SV38: $i] :
( ( ( subpopulation @ SV38 @ SV3 @ SV51 )
= $false )
| ( ( ( SV38 != efficient_producers )
| ( ( number_of_organizations @ SV3 @ SV51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV51 ) @ ( cardinality_at_time @ efficient_producers @ SV51 ) ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(238,plain,
! [SV52: $i,SV4: $i,SV39: $i] :
( ( ( subpopulation @ SV39 @ SV4 @ SV52 )
= $false )
| ( ( ( SV39 != first_movers )
| ( ( number_of_organizations @ SV4 @ SV52 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV52 ) @ ( cardinality_at_time @ efficient_producers @ SV52 ) ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(239,plain,
! [SV42: $i,SV21: $i,SV7: $i] :
( ( ( constant @ SV7 )
= $false )
| ( ( ( constant @ SV21 )
| ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true )
| ( ( SV7
= ( sum @ SV21 @ SV42 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(240,plain,
! [SV29: $i,SV22: $i,SV8: $i] :
( ( ( constant @ SV8 )
= $false )
| ( ( ( constant @ SV22 )
| ( increases @ SV22 )
| ( increases @ SV29 ) )
= $true )
| ( ( SV8
= ( sum @ SV22 @ SV29 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(241,plain,
! [SV30: $i,SV23: $i,SV9: $i] :
( ( ( constant @ SV9 )
= $false )
| ( ( ( constant @ SV23 )
| ( decreases @ SV30 )
| ( decreases @ SV23 ) )
= $true )
| ( ( SV9
= ( sum @ SV23 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(242,plain,
! [SV31: $i,SV24: $i,SV10: $i] :
( ( ( constant @ SV10 )
= $false )
| ( ( ( constant @ SV24 )
| ( decreases @ SV31 )
| ( increases @ SV31 ) )
= $true )
| ( ( SV10
= ( sum @ SV24 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(243,plain,
! [SV25: $i,SV32: $i,SV11: $i] :
( ( ( constant @ SV11 )
= $false )
| ( ( ( constant @ SV32 )
| ( decreases @ SV25 )
| ( increases @ SV25 ) )
= $true )
| ( ( SV11
= ( sum @ SV25 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(244,plain,
! [SV26: $i,SV33: $i,SV12: $i] :
( ( ( constant @ SV12 )
= $false )
| ( ( ( constant @ SV33 )
| ( increases @ SV26 )
| ( increases @ SV33 ) )
= $true )
| ( ( SV12
= ( sum @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(245,plain,
! [SV27: $i,SV34: $i,SV13: $i] :
( ( ( constant @ SV13 )
= $false )
| ( ( ( constant @ SV34 )
| ( decreases @ SV34 )
| ( decreases @ SV27 ) )
= $true )
| ( ( SV13
= ( sum @ SV27 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(246,plain,
! [SV28: $i,SV35: $i,SV14: $i] :
( ( ( constant @ SV14 )
= $false )
| ( ( ( constant @ SV35 )
| ( decreases @ SV35 )
| ( increases @ SV35 ) )
= $true )
| ( ( SV14
= ( sum @ SV28 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(247,plain,
! [SV43: $i,SV15: $i,SV53: $i] :
( ( ( ~ ( subpopulation @ SV53 @ SV15 @ SV43 )
| ~ ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) )
| ( ( growth_rate @ SV53 @ SV43 )
= zero ) )
= $true )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(248,plain,
! [SV44: $i,SV16: $i,SV54: $i] :
( ( ( ~ ( subpopulation @ SV54 @ SV16 @ SV44 )
| ~ ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) )
| ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero ) )
= $true )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(249,plain,
! [SV45: $i,SV17: $i,SV55: $i] :
( ( ( ~ ( subpopulation @ SV55 @ SV17 @ SV45 )
| ~ ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) ) )
= $true )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(250,plain,
! [SV1: $i,SV49: $i,SV36: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV36 @ SV49 ) @ zero ) )
= $true )
| ( ( ( SV36 = efficient_producers )
| ( SV36 = first_movers ) )
= $true )
| ( ( subpopulation @ SV36 @ SV1 @ SV49 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(251,plain,
! [SV37: $i,SV50: $i,SV2: $i] :
( ( ( ( number_of_organizations @ SV2 @ SV50 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV50 ) @ ( cardinality_at_time @ efficient_producers @ SV50 ) ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV37 @ SV50 ) @ zero )
= $true )
| ( ( subpopulation @ SV37 @ SV2 @ SV50 )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(252,plain,
! [SV51: $i,SV3: $i,SV38: $i] :
( ( ( ( SV38 != efficient_producers ) )
= $true )
| ( ( ( number_of_organizations @ SV3 @ SV51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV51 ) @ ( cardinality_at_time @ efficient_producers @ SV51 ) ) )
= $true )
| ( ( subpopulation @ SV38 @ SV3 @ SV51 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(253,plain,
! [SV52: $i,SV4: $i,SV39: $i] :
( ( ( ( SV39 != first_movers ) )
= $true )
| ( ( ( number_of_organizations @ SV4 @ SV52 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV52 ) @ ( cardinality_at_time @ efficient_producers @ SV52 ) ) )
= $true )
| ( ( subpopulation @ SV39 @ SV4 @ SV52 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(254,plain,
! [SV42: $i,SV7: $i,SV21: $i] :
( ( ( constant @ SV21 )
= $true )
| ( ( ( decreases @ SV21 )
| ( increases @ SV21 ) )
= $true )
| ( ( constant @ SV7 )
= $false )
| ( ( SV7
= ( sum @ SV21 @ SV42 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(255,plain,
! [SV8: $i,SV29: $i,SV22: $i] :
( ( ( constant @ SV22 )
= $true )
| ( ( ( increases @ SV22 )
| ( increases @ SV29 ) )
= $true )
| ( ( constant @ SV8 )
= $false )
| ( ( SV8
= ( sum @ SV22 @ SV29 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(256,plain,
! [SV9: $i,SV30: $i,SV23: $i] :
( ( ( constant @ SV23 )
= $true )
| ( ( ( decreases @ SV30 )
| ( decreases @ SV23 ) )
= $true )
| ( ( constant @ SV9 )
= $false )
| ( ( SV9
= ( sum @ SV23 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(257,plain,
! [SV10: $i,SV31: $i,SV24: $i] :
( ( ( constant @ SV24 )
= $true )
| ( ( ( decreases @ SV31 )
| ( increases @ SV31 ) )
= $true )
| ( ( constant @ SV10 )
= $false )
| ( ( SV10
= ( sum @ SV24 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(258,plain,
! [SV11: $i,SV25: $i,SV32: $i] :
( ( ( constant @ SV32 )
= $true )
| ( ( ( decreases @ SV25 )
| ( increases @ SV25 ) )
= $true )
| ( ( constant @ SV11 )
= $false )
| ( ( SV11
= ( sum @ SV25 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(259,plain,
! [SV12: $i,SV26: $i,SV33: $i] :
( ( ( constant @ SV33 )
= $true )
| ( ( ( increases @ SV26 )
| ( increases @ SV33 ) )
= $true )
| ( ( constant @ SV12 )
= $false )
| ( ( SV12
= ( sum @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(260,plain,
! [SV13: $i,SV27: $i,SV34: $i] :
( ( ( constant @ SV34 )
= $true )
| ( ( ( decreases @ SV34 )
| ( decreases @ SV27 ) )
= $true )
| ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV27 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(261,plain,
! [SV28: $i,SV14: $i,SV35: $i] :
( ( ( constant @ SV35 )
= $true )
| ( ( ( decreases @ SV35 )
| ( increases @ SV35 ) )
= $true )
| ( ( constant @ SV14 )
= $false )
| ( ( SV14
= ( sum @ SV28 @ SV35 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(262,plain,
! [SV43: $i,SV15: $i,SV53: $i] :
( ( ( ~ ( subpopulation @ SV53 @ SV15 @ SV43 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) )
| ( ( growth_rate @ SV53 @ SV43 )
= zero ) )
= $true )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV44: $i,SV16: $i,SV54: $i] :
( ( ( ~ ( subpopulation @ SV54 @ SV16 @ SV44 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) )
| ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero ) )
= $true )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(264,plain,
! [SV45: $i,SV17: $i,SV55: $i] :
( ( ( ~ ( subpopulation @ SV55 @ SV17 @ SV45 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) ) )
= $true )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(265,plain,
! [SV1: $i,SV49: $i,SV36: $i] :
( ( ( greater @ ( cardinality_at_time @ SV36 @ SV49 ) @ zero )
= $false )
| ( ( ( SV36 = efficient_producers )
| ( SV36 = first_movers ) )
= $true )
| ( ( subpopulation @ SV36 @ SV1 @ SV49 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(266,plain,
! [SV51: $i,SV3: $i,SV38: $i] :
( ( ( SV38 = efficient_producers )
= $false )
| ( ( ( number_of_organizations @ SV3 @ SV51 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV51 ) @ ( cardinality_at_time @ efficient_producers @ SV51 ) ) )
= $true )
| ( ( subpopulation @ SV38 @ SV3 @ SV51 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV52: $i,SV4: $i,SV39: $i] :
( ( ( SV39 = first_movers )
= $false )
| ( ( ( number_of_organizations @ SV4 @ SV52 )
= ( sum @ ( cardinality_at_time @ first_movers @ SV52 ) @ ( cardinality_at_time @ efficient_producers @ SV52 ) ) )
= $true )
| ( ( subpopulation @ SV39 @ SV4 @ SV52 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(268,plain,
! [SV42: $i,SV7: $i,SV21: $i] :
( ( ( decreases @ SV21 )
= $true )
| ( ( increases @ SV21 )
= $true )
| ( ( constant @ SV21 )
= $true )
| ( ( constant @ SV7 )
= $false )
| ( ( SV7
= ( sum @ SV21 @ SV42 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(269,plain,
! [SV8: $i,SV29: $i,SV22: $i] :
( ( ( increases @ SV22 )
= $true )
| ( ( increases @ SV29 )
= $true )
| ( ( constant @ SV22 )
= $true )
| ( ( constant @ SV8 )
= $false )
| ( ( SV8
= ( sum @ SV22 @ SV29 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(270,plain,
! [SV9: $i,SV23: $i,SV30: $i] :
( ( ( decreases @ SV30 )
= $true )
| ( ( decreases @ SV23 )
= $true )
| ( ( constant @ SV23 )
= $true )
| ( ( constant @ SV9 )
= $false )
| ( ( SV9
= ( sum @ SV23 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(271,plain,
! [SV10: $i,SV24: $i,SV31: $i] :
( ( ( decreases @ SV31 )
= $true )
| ( ( increases @ SV31 )
= $true )
| ( ( constant @ SV24 )
= $true )
| ( ( constant @ SV10 )
= $false )
| ( ( SV10
= ( sum @ SV24 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(272,plain,
! [SV11: $i,SV32: $i,SV25: $i] :
( ( ( decreases @ SV25 )
= $true )
| ( ( increases @ SV25 )
= $true )
| ( ( constant @ SV32 )
= $true )
| ( ( constant @ SV11 )
= $false )
| ( ( SV11
= ( sum @ SV25 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(273,plain,
! [SV12: $i,SV33: $i,SV26: $i] :
( ( ( increases @ SV26 )
= $true )
| ( ( increases @ SV33 )
= $true )
| ( ( constant @ SV33 )
= $true )
| ( ( constant @ SV12 )
= $false )
| ( ( SV12
= ( sum @ SV26 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(274,plain,
! [SV13: $i,SV27: $i,SV34: $i] :
( ( ( decreases @ SV34 )
= $true )
| ( ( decreases @ SV27 )
= $true )
| ( ( constant @ SV34 )
= $true )
| ( ( constant @ SV13 )
= $false )
| ( ( SV13
= ( sum @ SV27 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(275,plain,
! [SV28: $i,SV14: $i,SV35: $i] :
( ( ( decreases @ SV35 )
= $true )
| ( ( increases @ SV35 )
= $true )
| ( ( constant @ SV35 )
= $true )
| ( ( constant @ SV14 )
= $false )
| ( ( SV14
= ( sum @ SV28 @ SV35 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(276,plain,
! [SV43: $i,SV15: $i,SV53: $i] :
( ( ( subpopulation @ SV53 @ SV15 @ SV43 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero )
| ~ ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) )
| ( ( growth_rate @ SV53 @ SV43 )
= zero ) )
= $true )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(277,plain,
! [SV44: $i,SV16: $i,SV54: $i] :
( ( ( subpopulation @ SV54 @ SV16 @ SV44 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) )
| ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero ) )
= $true )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(278,plain,
! [SV45: $i,SV17: $i,SV55: $i] :
( ( ( subpopulation @ SV55 @ SV17 @ SV45 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero )
| ~ ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) ) )
= $true )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(279,plain,
! [SV1: $i,SV49: $i,SV36: $i] :
( ( ( SV36 = efficient_producers )
= $true )
| ( ( SV36 = first_movers )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV36 @ SV49 ) @ zero )
= $false )
| ( ( subpopulation @ SV36 @ SV1 @ SV49 )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(280,plain,
! [SV15: $i,SV43: $i,SV53: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero ) )
= $true )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) )
| ( ( growth_rate @ SV53 @ SV43 )
= zero ) )
= $true )
| ( ( subpopulation @ SV53 @ SV15 @ SV43 )
= $false )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(281,plain,
! [SV16: $i,SV44: $i,SV54: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero ) )
= $true )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) )
| ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero ) )
= $true )
| ( ( subpopulation @ SV54 @ SV16 @ SV44 )
= $false )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(282,plain,
! [SV17: $i,SV45: $i,SV55: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero ) )
= $true )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) ) )
= $true )
| ( ( subpopulation @ SV55 @ SV17 @ SV45 )
= $false )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(283,plain,
! [SV15: $i,SV43: $i,SV53: $i] :
( ( ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero )
= $false )
| ( ( ~ ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) )
| ( ( growth_rate @ SV53 @ SV43 )
= zero ) )
= $true )
| ( ( subpopulation @ SV53 @ SV15 @ SV43 )
= $false )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(284,plain,
! [SV16: $i,SV44: $i,SV54: $i] :
( ( ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero )
= $false )
| ( ( ~ ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) )
| ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero ) )
= $true )
| ( ( subpopulation @ SV54 @ SV16 @ SV44 )
= $false )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(285,plain,
! [SV17: $i,SV45: $i,SV55: $i] :
( ( ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero )
= $false )
| ( ( ~ ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) )
| ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) ) )
= $true )
| ( ( subpopulation @ SV55 @ SV17 @ SV45 )
= $false )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(286,plain,
! [SV15: $i,SV43: $i,SV53: $i] :
( ( ( ~ ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) ) )
= $true )
| ( ( ( growth_rate @ SV53 @ SV43 )
= zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero )
= $false )
| ( ( subpopulation @ SV53 @ SV15 @ SV43 )
= $false )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(287,plain,
! [SV16: $i,SV44: $i,SV54: $i] :
( ( ( ~ ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero )
= $false )
| ( ( subpopulation @ SV54 @ SV16 @ SV44 )
= $false )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(288,plain,
! [SV17: $i,SV45: $i,SV55: $i] :
( ( ( ~ ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero )
= $false )
| ( ( subpopulation @ SV55 @ SV17 @ SV45 )
= $false )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(289,plain,
! [SV15: $i,SV43: $i,SV53: $i] :
( ( ( constant @ ( cardinality_at_time @ SV53 @ SV43 ) )
= $false )
| ( ( ( growth_rate @ SV53 @ SV43 )
= zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV53 @ SV43 ) @ zero )
= $false )
| ( ( subpopulation @ SV53 @ SV15 @ SV43 )
= $false )
| ( ( in_environment @ SV15 @ SV43 )
= $false )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(290,plain,
! [SV16: $i,SV44: $i,SV54: $i] :
( ( ( increases @ ( cardinality_at_time @ SV54 @ SV44 ) )
= $false )
| ( ( greater @ ( growth_rate @ SV54 @ SV44 ) @ zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV54 @ SV44 ) @ zero )
= $false )
| ( ( subpopulation @ SV54 @ SV16 @ SV44 )
= $false )
| ( ( in_environment @ SV16 @ SV44 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(291,plain,
! [SV17: $i,SV45: $i,SV55: $i] :
( ( ( decreases @ ( cardinality_at_time @ SV55 @ SV45 ) )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV55 @ SV45 ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV55 @ SV45 ) @ zero )
= $false )
| ( ( subpopulation @ SV55 @ SV17 @ SV45 )
= $false )
| ( ( in_environment @ SV17 @ SV45 )
= $false )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(292,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[78,291,290,289,279,275,274,273,272,271,270,269,268,267,266,251,234,233,232,220,219,154,153,152,128,80,79]) ).
thf(293,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT025-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 10:18:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37
% 0.12/0.37 No.of.Axioms: 26
% 0.12/0.37
% 0.12/0.37 Length.of.Defs: 0
% 0.12/0.37
% 0.12/0.37 Contains.Choice.Funs: false
% 0.18/0.39 .
% 0.18/0.39 (rf:0,axioms:26,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:28,loop_count:0,foatp_calls:0,translation:fof_full).............
% 0.34/0.54
% 0.34/0.54 ********************************
% 0.34/0.54 * All subproblems solved! *
% 0.34/0.54 ********************************
% 0.34/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,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:292,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.56
% 0.36/0.56 %**** Beginning of derivation protocol ****
% 0.36/0.56 % SZS output start CNFRefutation
% See solution above
% 0.36/0.56
% 0.36/0.56 %**** End of derivation protocol ****
% 0.36/0.56 %**** no. of clauses in derivation: 293 ****
% 0.36/0.56 %**** clause counter: 292 ****
% 0.36/0.56
% 0.36/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,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:292,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------