TSTP Solution File: MGT023-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT023-2 : 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 : n026.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 22:17:13 EDT 2022
% Result : Unsatisfiable 0.36s 0.56s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 212 ( 73 unt; 15 typ; 0 def)
% Number of atoms : 1727 ( 463 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 4174 ( 403 ~; 678 |; 0 &;3093 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 5 con; 0-4 aty)
% Number of variables : 399 ( 0 ^ 399 !; 0 ?; 399 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_critical_point,type,
critical_point: $i > $i ).
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_environment,type,
environment: $i > $o ).
thf(tp_first_movers,type,
first_movers: $i ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_growth_rate,type,
growth_rate: $i > $i > $i ).
thf(tp_in_environment,type,
in_environment: $i > $i > $o ).
thf(tp_sk1,type,
sk1: $i > $i > $i ).
thf(tp_sk2,type,
sk2: $i > $i ).
thf(tp_sk3,type,
sk3: $i > $i > $i ).
thf(tp_sk4,type,
sk4: $i > $i ).
thf(tp_sk5,type,
sk5: $i ).
thf(tp_stable,type,
stable: $i > $o ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk4 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_32) ).
thf(11,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk4 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_31) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk3 @ B @ A ) ) )
| ( B
= ( critical_point @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_30) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk3 @ B @ A ) @ B )
| ( B
= ( critical_point @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_29) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk3 @ B @ A ) )
| ( B
= ( critical_point @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_28) ).
thf(15,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(16,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[15]) ).
thf(17,negated_conjecture,
~ ( in_environment @ sk5 @ ( critical_point @ sk5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_35) ).
thf(18,negated_conjecture,
stable @ sk5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_34) ).
thf(19,negated_conjecture,
environment @ sk5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_33) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk4 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk4 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk3 @ B @ A ) ) )
| ( B
= ( critical_point @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk3 @ B @ A ) @ B )
| ( B
= ( critical_point @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk3 @ B @ A ) )
| ( B
= ( critical_point @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ~ ( in_environment @ sk5 @ ( critical_point @ sk5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(36,plain,
( ( stable @ sk5 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(37,plain,
( ( environment @ sk5 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(40,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(41,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( in_environment @ A @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(42,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(43,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(44,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(45,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(46,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( in_environment @ A @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(47,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( in_environment @ A @ ( sk2 @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(48,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk4 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(49,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk3 @ B @ A ) ) )
| ( B
= ( critical_point @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(50,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( B
= ( critical_point @ A ) )
| ( greater @ ( sk3 @ B @ A ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( B
= ( critical_point @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk3 @ B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(52,plain,
( ( environment @ sk5 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(53,plain,
( ( stable @ sk5 )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(54,plain,
( ( ~ ( in_environment @ sk5 @ ( critical_point @ sk5 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(55,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( B
= ( critical_point @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk3 @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(56,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( B
= ( critical_point @ A ) )
| ( greater @ ( sk3 @ B @ A ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(57,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk3 @ B @ A ) ) )
| ( B
= ( critical_point @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(58,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk4 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(59,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk4 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(60,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( in_environment @ A @ ( sk2 @ A ) )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(61,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( in_environment @ A @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(62,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(63,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(64,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(65,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(66,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( in_environment @ A @ ( sk2 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(67,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(68,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(69,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(70,plain,
( ( in_environment @ sk5 @ ( critical_point @ sk5 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(71,plain,
! [SV1: $i] :
( ( ~ ( environment @ SV1 )
| ! [SY30: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY30 ) @ ( growth_rate @ first_movers @ SY30 ) )
| ~ ( in_environment @ SV1 @ SY30 )
| ( SY30
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SY30 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(72,plain,
! [SV2: $i] :
( ( ~ ( environment @ SV2 )
| ! [SY31: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY31 ) @ ( growth_rate @ first_movers @ SY31 ) )
| ~ ( in_environment @ SV2 @ SY31 )
| ( SY31
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SY31 @ SV2 ) @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(73,plain,
! [SV3: $i] :
( ( ~ ( environment @ SV3 )
| ! [SY32: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY32 ) @ ( growth_rate @ first_movers @ SY32 ) )
| ~ ( in_environment @ SV3 @ SY32 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SY32 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SY32 @ SV3 ) ) )
| ( SY32
= ( critical_point @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(74,plain,
! [SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( stable @ SV4 )
| ( in_environment @ SV4 @ ( sk4 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(75,plain,
! [SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( stable @ SV5 )
| ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY33 )
| ~ ( greater_or_equal @ SY33 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(76,plain,
! [SV6: $i] :
( ( ~ ( environment @ SV6 )
| ! [SY34: $i] :
( ~ ( in_environment @ SV6 @ SY34 )
| ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SY34 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(77,plain,
! [SV7: $i] :
( ( ~ ( environment @ SV7 )
| ! [SY35: $i] :
( ~ ( in_environment @ SV7 @ SY35 )
| ( greater_or_equal @ ( sk1 @ SY35 @ SV7 ) @ SY35 )
| ( in_environment @ SV7 @ ( sk2 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(78,plain,
! [SV8: $i] :
( ( ~ ( environment @ SV8 )
| ! [SY36: $i] :
( ~ ( in_environment @ SV8 @ SY36 )
| ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SY36 @ SV8 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(79,plain,
! [SV9: $i] :
( ( ~ ( environment @ SV9 )
| ! [SY37: $i] :
( ~ ( in_environment @ SV9 @ SY37 )
| ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SY37 @ SV9 ) )
| ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(80,plain,
! [SV10: $i] :
( ( ~ ( environment @ SV10 )
| ! [SY39: $i] :
( ~ ( in_environment @ SV10 @ SY39 )
| ( greater_or_equal @ ( sk1 @ SY39 @ SV10 ) @ SY39 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(81,plain,
! [SV11: $i] :
( ( ~ ( environment @ SV11 )
| ! [SY40: $i] :
( ~ ( in_environment @ SV11 @ SY40 )
| ( greater_or_equal @ ( sk1 @ SY40 @ SV11 ) @ SY40 )
| ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(82,plain,
! [SV12: $i] :
( ( ~ ( environment @ SV12 )
| ! [SY42: $i] :
( ~ ( in_environment @ SV12 @ SY42 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY42 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY42 @ SV12 ) ) )
| ( in_environment @ SV12 @ ( sk2 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(83,plain,
! [SV13: $i] :
( ( ~ ( environment @ SV13 )
| ! [SY43: $i] :
( ~ ( in_environment @ SV13 @ SY43 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY43 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY43 @ SV13 ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(84,plain,
! [SV14: $i] :
( ( ~ ( environment @ SV14 )
| ! [SY44: $i] :
( ~ ( in_environment @ SV14 @ SY44 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY44 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY44 @ SV14 ) ) )
| ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(85,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(86,plain,
! [SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ! [SY30: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY30 ) @ ( growth_rate @ first_movers @ SY30 ) )
| ~ ( in_environment @ SV1 @ SY30 )
| ( SY30
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SY30 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ! [SY31: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY31 ) @ ( growth_rate @ first_movers @ SY31 ) )
| ~ ( in_environment @ SV2 @ SY31 )
| ( SY31
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SY31 @ SV2 ) @ SY31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(88,plain,
! [SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ! [SY32: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY32 ) @ ( growth_rate @ first_movers @ SY32 ) )
| ~ ( in_environment @ SV3 @ SY32 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SY32 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SY32 @ SV3 ) ) )
| ( SY32
= ( critical_point @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( stable @ SV4 )
| ( in_environment @ SV4 @ ( sk4 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( stable @ SV5 )
| ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY33 )
| ~ ( greater_or_equal @ SY33 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ! [SY34: $i] :
( ~ ( in_environment @ SV6 @ SY34 )
| ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SY34 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV7: $i] :
( ( ( ~ ( environment @ SV7 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ( in_environment @ SV7 @ SY35 )
| ( greater_or_equal @ ( sk1 @ SY35 @ SV7 ) @ SY35 )
| ( in_environment @ SV7 @ ( sk2 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(93,plain,
! [SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( ! [SY36: $i] :
( ~ ( in_environment @ SV8 @ SY36 )
| ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SY36 @ SV8 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(94,plain,
! [SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( in_environment @ SV9 @ SY37 )
| ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SY37 @ SV9 ) )
| ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( in_environment @ SV10 @ SY39 )
| ( greater_or_equal @ ( sk1 @ SY39 @ SV10 ) @ SY39 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( in_environment @ SV11 @ SY40 )
| ( greater_or_equal @ ( sk1 @ SY40 @ SV11 ) @ SY40 )
| ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(97,plain,
! [SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ! [SY42: $i] :
( ~ ( in_environment @ SV12 @ SY42 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY42 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY42 @ SV12 ) ) )
| ( in_environment @ SV12 @ ( sk2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( in_environment @ SV13 @ SY43 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY43 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY43 @ SV13 ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 ) )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( in_environment @ SV14 @ SY44 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY44 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY44 @ SV14 ) ) )
| ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ! [SY30: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY30 ) @ ( growth_rate @ first_movers @ SY30 ) )
| ~ ( in_environment @ SV1 @ SY30 )
| ( SY30
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SY30 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ! [SY31: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY31 ) @ ( growth_rate @ first_movers @ SY31 ) )
| ~ ( in_environment @ SV2 @ SY31 )
| ( SY31
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SY31 @ SV2 ) @ SY31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ! [SY32: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ SY32 ) @ ( growth_rate @ first_movers @ SY32 ) )
| ~ ( in_environment @ SV3 @ SY32 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SY32 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SY32 @ SV3 ) ) )
| ( SY32
= ( critical_point @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( stable @ SV4 )
| ( in_environment @ SV4 @ ( sk4 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( stable @ SV5 )
| ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY33 )
| ~ ( greater_or_equal @ SY33 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ! [SY34: $i] :
( ~ ( in_environment @ SV6 @ SY34 )
| ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SY34 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV7: $i] :
( ( ( environment @ SV7 )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( in_environment @ SV7 @ SY35 )
| ( greater_or_equal @ ( sk1 @ SY35 @ SV7 ) @ SY35 )
| ( in_environment @ SV7 @ ( sk2 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( ! [SY36: $i] :
( ~ ( in_environment @ SV8 @ SY36 )
| ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SY36 @ SV8 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ! [SY37: $i] :
( ~ ( in_environment @ SV9 @ SY37 )
| ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SY37 @ SV9 ) )
| ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( in_environment @ SV10 @ SY39 )
| ( greater_or_equal @ ( sk1 @ SY39 @ SV10 ) @ SY39 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ! [SY40: $i] :
( ~ ( in_environment @ SV11 @ SY40 )
| ( greater_or_equal @ ( sk1 @ SY40 @ SV11 ) @ SY40 )
| ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ! [SY42: $i] :
( ~ ( in_environment @ SV12 @ SY42 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY42 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY42 @ SV12 ) ) )
| ( in_environment @ SV12 @ ( sk2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( in_environment @ SV13 @ SY43 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY43 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY43 @ SV13 ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV14: $i] :
( ( ( environment @ SV14 )
= $false )
| ( ( ! [SY44: $i] :
( ~ ( in_environment @ SV14 @ SY44 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SY44 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SY44 @ SV14 ) ) )
| ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV1: $i,SV15: $i] :
( ( ( ( greater @ ( growth_rate @ efficient_producers @ SV15 ) @ ( growth_rate @ first_movers @ SV15 ) )
| ~ ( in_environment @ SV1 @ SV15 )
| ( SV15
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SV15 @ SV1 ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV2: $i,SV16: $i] :
( ( ( ( greater @ ( growth_rate @ efficient_producers @ SV16 ) @ ( growth_rate @ first_movers @ SV16 ) )
| ~ ( in_environment @ SV2 @ SV16 )
| ( SV16
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SV16 @ SV2 ) @ SV16 ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV3: $i,SV17: $i] :
( ( ( ( greater @ ( growth_rate @ efficient_producers @ SV17 ) @ ( growth_rate @ first_movers @ SV17 ) )
| ~ ( in_environment @ SV3 @ SV17 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SV17 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SV17 @ SV3 ) ) )
| ( SV17
= ( critical_point @ SV3 ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV4: $i] :
( ( ( ~ ( stable @ SV4 ) )
= $true )
| ( ( in_environment @ SV4 @ ( sk4 @ SV4 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV5: $i] :
( ( ( ~ ( stable @ SV5 ) )
= $true )
| ( ( ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY33 )
| ~ ( greater_or_equal @ SY33 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( in_environment @ SV6 @ SV18 )
| ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SV18 @ SV6 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( in_environment @ SV7 @ SV19 )
| ( greater_or_equal @ ( sk1 @ SV19 @ SV7 ) @ SV19 )
| ( in_environment @ SV7 @ ( sk2 @ SV7 ) ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV20: $i,SV8: $i] :
( ( ( ~ ( in_environment @ SV8 @ SV20 )
| ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SV20 @ SV8 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(122,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( in_environment @ SV9 @ SV21 )
| ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
| ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(123,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( in_environment @ SV10 @ SV22 )
| ( greater_or_equal @ ( sk1 @ SV22 @ SV10 ) @ SV22 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV23: $i,SV11: $i] :
( ( ( ~ ( in_environment @ SV11 @ SV23 )
| ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
| ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(125,plain,
! [SV24: $i,SV12: $i] :
( ( ( ~ ( in_environment @ SV12 @ SV24 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV24 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV24 @ SV12 ) ) )
| ( in_environment @ SV12 @ ( sk2 @ SV12 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(126,plain,
! [SV25: $i,SV13: $i] :
( ( ( ~ ( in_environment @ SV13 @ SV25 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV25 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV25 @ SV13 ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(127,plain,
! [SV26: $i,SV14: $i] :
( ( ( ~ ( in_environment @ SV14 @ SV26 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
| ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(128,plain,
! [SV1: $i,SV15: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV15 ) @ ( growth_rate @ first_movers @ SV15 ) )
= $true )
| ( ( ~ ( in_environment @ SV1 @ SV15 )
| ( SV15
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SV15 @ SV1 ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(129,plain,
! [SV2: $i,SV16: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV16 ) @ ( growth_rate @ first_movers @ SV16 ) )
= $true )
| ( ( ~ ( in_environment @ SV2 @ SV16 )
| ( SV16
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SV16 @ SV2 ) @ SV16 ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(130,plain,
! [SV3: $i,SV17: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV17 ) @ ( growth_rate @ first_movers @ SV17 ) )
= $true )
| ( ( ~ ( in_environment @ SV3 @ SV17 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SV17 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SV17 @ SV3 ) ) )
| ( SV17
= ( critical_point @ SV3 ) ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(131,plain,
! [SV4: $i] :
( ( ( stable @ SV4 )
= $false )
| ( ( in_environment @ SV4 @ ( sk4 @ SV4 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(132,plain,
! [SV5: $i] :
( ( ( stable @ SV5 )
= $false )
| ( ( ! [SY33: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SY33 )
| ~ ( greater_or_equal @ SY33 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY33 ) @ ( growth_rate @ first_movers @ SY33 ) ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(133,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( in_environment @ SV6 @ SV18 ) )
= $true )
| ( ( ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SV18 @ SV6 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(134,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( in_environment @ SV7 @ SV19 ) )
= $true )
| ( ( ( greater_or_equal @ ( sk1 @ SV19 @ SV7 ) @ SV19 )
| ( in_environment @ SV7 @ ( sk2 @ SV7 ) ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(135,plain,
! [SV20: $i,SV8: $i] :
( ( ( ~ ( in_environment @ SV8 @ SV20 ) )
= $true )
| ( ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SV20 @ SV8 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( in_environment @ SV9 @ SV21 ) )
= $true )
| ( ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
| ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( in_environment @ SV10 @ SV22 ) )
= $true )
| ( ( ( greater_or_equal @ ( sk1 @ SV22 @ SV10 ) @ SV22 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV23: $i,SV11: $i] :
( ( ( ~ ( in_environment @ SV11 @ SV23 ) )
= $true )
| ( ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
| ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(139,plain,
! [SV24: $i,SV12: $i] :
( ( ( ~ ( in_environment @ SV12 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV24 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV24 @ SV12 ) ) )
| ( in_environment @ SV12 @ ( sk2 @ SV12 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(140,plain,
! [SV25: $i,SV13: $i] :
( ( ( ~ ( in_environment @ SV13 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV25 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV25 @ SV13 ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(141,plain,
! [SV26: $i,SV14: $i] :
( ( ( ~ ( in_environment @ SV14 @ SV26 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
| ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(142,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( in_environment @ SV1 @ SV15 ) )
= $true )
| ( ( ( SV15
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SV15 @ SV1 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV15 ) @ ( growth_rate @ first_movers @ SV15 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(143,plain,
! [SV16: $i,SV2: $i] :
( ( ( ~ ( in_environment @ SV2 @ SV16 ) )
= $true )
| ( ( ( SV16
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SV16 @ SV2 ) @ SV16 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV16 ) @ ( growth_rate @ first_movers @ SV16 ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(144,plain,
! [SV17: $i,SV3: $i] :
( ( ( ~ ( in_environment @ SV3 @ SV17 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SV17 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SV17 @ SV3 ) ) )
| ( SV17
= ( critical_point @ SV3 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV17 ) @ ( growth_rate @ first_movers @ SV17 ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(145,plain,
! [SV27: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV27 )
| ~ ( greater_or_equal @ SV27 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV27 ) @ ( growth_rate @ first_movers @ SV27 ) ) )
= $true )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(146,plain,
! [SV18: $i,SV6: $i] :
( ( ( in_environment @ SV6 @ SV18 )
= $false )
| ( ( ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SV18 @ SV6 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(147,plain,
! [SV19: $i,SV7: $i] :
( ( ( in_environment @ SV7 @ SV19 )
= $false )
| ( ( ( greater_or_equal @ ( sk1 @ SV19 @ SV7 ) @ SV19 )
| ( in_environment @ SV7 @ ( sk2 @ SV7 ) ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(148,plain,
! [SV20: $i,SV8: $i] :
( ( ( in_environment @ SV8 @ SV20 )
= $false )
| ( ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SV20 @ SV8 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV21: $i,SV9: $i] :
( ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
| ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV22: $i,SV10: $i] :
( ( ( in_environment @ SV10 @ SV22 )
= $false )
| ( ( ( greater_or_equal @ ( sk1 @ SV22 @ SV10 ) @ SV22 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(151,plain,
! [SV23: $i,SV11: $i] :
( ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
| ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(152,plain,
! [SV24: $i,SV12: $i] :
( ( ( in_environment @ SV12 @ SV24 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV24 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV24 @ SV12 ) ) )
| ( in_environment @ SV12 @ ( sk2 @ SV12 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(153,plain,
! [SV25: $i,SV13: $i] :
( ( ( in_environment @ SV13 @ SV25 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV25 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV25 @ SV13 ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(154,plain,
! [SV26: $i,SV14: $i] :
( ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
| ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(155,plain,
! [SV15: $i,SV1: $i] :
( ( ( in_environment @ SV1 @ SV15 )
= $false )
| ( ( ( SV15
= ( critical_point @ SV1 ) )
| ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SV15 @ SV1 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV15 ) @ ( growth_rate @ first_movers @ SV15 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(156,plain,
! [SV16: $i,SV2: $i] :
( ( ( in_environment @ SV2 @ SV16 )
= $false )
| ( ( ( SV16
= ( critical_point @ SV2 ) )
| ( greater @ ( sk3 @ SV16 @ SV2 ) @ SV16 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV16 ) @ ( growth_rate @ first_movers @ SV16 ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(157,plain,
! [SV17: $i,SV3: $i] :
( ( ( in_environment @ SV3 @ SV17 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SV17 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SV17 @ SV3 ) ) )
| ( SV17
= ( critical_point @ SV3 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV17 ) @ ( growth_rate @ first_movers @ SV17 ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(158,plain,
! [SV27: $i,SV5: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV27 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV27 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV27 ) @ ( growth_rate @ first_movers @ SV27 ) ) )
= $true )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(159,plain,
! [SV18: $i,SV6: $i] :
( ( ( in_environment @ SV6 @ ( sk2 @ SV6 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV6 @ ( sk1 @ SV18 @ SV6 ) )
= $true )
| ( ( in_environment @ SV6 @ SV18 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(160,plain,
! [SV7: $i,SV19: $i] :
( ( ( greater_or_equal @ ( sk1 @ SV19 @ SV7 ) @ SV19 )
= $true )
| ( ( in_environment @ SV7 @ ( sk2 @ SV7 ) )
= $true )
| ( ( in_environment @ SV7 @ SV19 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(161,plain,
! [SV20: $i,SV8: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SV20 @ SV8 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) ) )
= $true )
| ( ( in_environment @ SV8 @ SV20 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(162,plain,
! [SV21: $i,SV9: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
= $true )
| ( ( ! [SY38: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY38 )
| ~ ( greater @ SY38 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY38 ) @ ( growth_rate @ first_movers @ SY38 ) ) ) )
= $true )
| ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(163,plain,
! [SV10: $i,SV22: $i] :
( ( ( greater_or_equal @ ( sk1 @ SV22 @ SV10 ) @ SV22 )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) ) )
= $true )
| ( ( in_environment @ SV10 @ SV22 )
= $false )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(164,plain,
! [SV11: $i,SV23: $i] :
( ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY41 )
| ~ ( greater @ SY41 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY41 ) @ ( growth_rate @ first_movers @ SY41 ) ) ) )
= $true )
| ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(165,plain,
! [SV12: $i,SV24: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV24 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV24 @ SV12 ) ) ) )
= $true )
| ( ( in_environment @ SV12 @ ( sk2 @ SV12 ) )
= $true )
| ( ( in_environment @ SV12 @ SV24 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(166,plain,
! [SV13: $i,SV25: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV25 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV25 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) )
= $true )
| ( ( in_environment @ SV13 @ SV25 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(167,plain,
! [SV14: $i,SV26: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) ) )
= $true )
| ( ( ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) )
= $true )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(168,plain,
! [SV1: $i,SV15: $i] :
( ( ( SV15
= ( critical_point @ SV1 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV1 @ ( sk3 @ SV15 @ SV1 ) )
= $true )
| ( ( in_environment @ SV1 @ SV15 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV15 ) @ ( growth_rate @ first_movers @ SV15 ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(169,plain,
! [SV2: $i,SV16: $i] :
( ( ( SV16
= ( critical_point @ SV2 ) )
= $true )
| ( ( greater @ ( sk3 @ SV16 @ SV2 ) @ SV16 )
= $true )
| ( ( in_environment @ SV2 @ SV16 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV16 ) @ ( growth_rate @ first_movers @ SV16 ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(170,plain,
! [SV3: $i,SV17: $i] :
( ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SV17 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SV17 @ SV3 ) ) ) )
= $true )
| ( ( SV17
= ( critical_point @ SV3 ) )
= $true )
| ( ( in_environment @ SV3 @ SV17 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV17 ) @ ( growth_rate @ first_movers @ SV17 ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(171,plain,
! [SV27: $i,SV5: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV27 )
= $false )
| ( ( ~ ( greater_or_equal @ SV27 @ ( sk4 @ SV5 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV27 ) @ ( growth_rate @ first_movers @ SV27 ) ) )
= $true )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(172,plain,
! [SV20: $i,SV8: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV8 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV8 ) ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ ( sk1 @ SV20 @ SV8 ) )
= $true )
| ( ( in_environment @ SV8 @ SV20 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV21: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV28 )
| ~ ( greater @ SV28 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV28 ) @ ( growth_rate @ first_movers @ SV28 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
= $true )
| ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(174,plain,
! [SV22: $i,SV10: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV10 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV10 ) ) )
= $false )
| ( ( greater_or_equal @ ( sk1 @ SV22 @ SV10 ) @ SV22 )
= $true )
| ( ( in_environment @ SV10 @ SV22 )
= $false )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(175,plain,
! [SV23: $i,SV29: $i,SV11: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV29 )
| ~ ( greater @ SV29 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV29 ) @ ( growth_rate @ first_movers @ SV29 ) ) )
= $true )
| ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
= $true )
| ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(176,plain,
! [SV12: $i,SV24: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV24 @ SV12 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV24 @ SV12 ) ) )
= $false )
| ( ( in_environment @ SV12 @ ( sk2 @ SV12 ) )
= $true )
| ( ( in_environment @ SV12 @ SV24 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(177,plain,
! [SV13: $i,SV25: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV25 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV25 @ SV13 ) ) )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) ) )
= $true )
| ( ( in_environment @ SV13 @ SV25 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(178,plain,
! [SV14: $i,SV26: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
= $false )
| ( ( ! [SY45: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY45 )
| ~ ( greater @ SY45 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY45 ) @ ( growth_rate @ first_movers @ SY45 ) ) ) )
= $true )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(179,plain,
! [SV3: $i,SV17: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk3 @ SV17 @ SV3 ) ) @ ( growth_rate @ first_movers @ ( sk3 @ SV17 @ SV3 ) ) )
= $false )
| ( ( SV17
= ( critical_point @ SV3 ) )
= $true )
| ( ( in_environment @ SV3 @ SV17 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV17 ) @ ( growth_rate @ first_movers @ SV17 ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(180,plain,
! [SV5: $i,SV27: $i] :
( ( ( ~ ( greater_or_equal @ SV27 @ ( sk4 @ SV5 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV27 ) @ ( growth_rate @ first_movers @ SV27 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV27 )
= $false )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(181,plain,
! [SV21: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV28 ) )
= $true )
| ( ( ~ ( greater @ SV28 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV28 ) @ ( growth_rate @ first_movers @ SV28 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
= $true )
| ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(182,plain,
! [SV23: $i,SV29: $i,SV11: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV29 ) )
= $true )
| ( ( ~ ( greater @ SV29 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV29 ) @ ( growth_rate @ first_movers @ SV29 ) ) )
= $true )
| ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
= $true )
| ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(183,plain,
! [SV25: $i,SV13: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk2 @ SV13 ) ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV25 @ SV13 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV25 @ SV13 ) ) )
= $false )
| ( ( in_environment @ SV13 @ SV25 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV26: $i,SV30: $i,SV14: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV30 )
| ~ ( greater @ SV30 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
= $false )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(185,plain,
! [SV5: $i,SV27: $i] :
( ( ( greater_or_equal @ SV27 @ ( sk4 @ SV5 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV27 ) @ ( growth_rate @ first_movers @ SV27 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV5 @ SV27 )
= $false )
| ( ( stable @ SV5 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(186,plain,
! [SV21: $i,SV28: $i,SV9: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV28 )
= $false )
| ( ( ~ ( greater @ SV28 @ ( sk2 @ SV9 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV28 ) @ ( growth_rate @ first_movers @ SV28 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
= $true )
| ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(187,plain,
! [SV23: $i,SV29: $i,SV11: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV29 )
= $false )
| ( ( ~ ( greater @ SV29 @ ( sk2 @ SV11 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV29 ) @ ( growth_rate @ first_movers @ SV29 ) ) )
= $true )
| ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
= $true )
| ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(188,plain,
! [SV26: $i,SV30: $i,SV14: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV30 ) )
= $true )
| ( ( ~ ( greater @ SV30 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
= $false )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(189,plain,
! [SV21: $i,SV9: $i,SV28: $i] :
( ( ( ~ ( greater @ SV28 @ ( sk2 @ SV9 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV28 ) @ ( growth_rate @ first_movers @ SV28 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV28 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
= $true )
| ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(190,plain,
! [SV23: $i,SV11: $i,SV29: $i] :
( ( ( ~ ( greater @ SV29 @ ( sk2 @ SV11 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV29 ) @ ( growth_rate @ first_movers @ SV29 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV29 )
= $false )
| ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
= $true )
| ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(191,plain,
! [SV26: $i,SV30: $i,SV14: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV30 )
= $false )
| ( ( ~ ( greater @ SV30 @ ( sk2 @ SV14 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
= $false )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(192,plain,
! [SV21: $i,SV9: $i,SV28: $i] :
( ( ( greater @ SV28 @ ( sk2 @ SV9 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV28 ) @ ( growth_rate @ first_movers @ SV28 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV28 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ ( sk1 @ SV21 @ SV9 ) )
= $true )
| ( ( in_environment @ SV9 @ SV21 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(193,plain,
! [SV23: $i,SV11: $i,SV29: $i] :
( ( ( greater @ SV29 @ ( sk2 @ SV11 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV29 ) @ ( growth_rate @ first_movers @ SV29 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV29 )
= $false )
| ( ( greater_or_equal @ ( sk1 @ SV23 @ SV11 ) @ SV23 )
= $true )
| ( ( in_environment @ SV11 @ SV23 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(194,plain,
! [SV26: $i,SV14: $i,SV30: $i] :
( ( ( ~ ( greater @ SV30 @ ( sk2 @ SV14 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV30 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
= $false )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(195,plain,
! [SV26: $i,SV14: $i,SV30: $i] :
( ( ( greater @ SV30 @ ( sk2 @ SV14 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV30 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ SV26 @ SV14 ) ) @ ( growth_rate @ first_movers @ ( sk1 @ SV26 @ SV14 ) ) )
= $false )
| ( ( in_environment @ SV14 @ SV26 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(196,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[52,195,193,192,185,183,179,176,174,172,169,168,160,159,131,85,70,53]) ).
thf(197,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 10:00:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 17
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.38 (rf:0,axioms:17,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:19,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.36/0.56
% 0.36/0.56 ********************************
% 0.36/0.56 * All subproblems solved! *
% 0.36/0.56 ********************************
% 0.36/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,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:196,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.57
% 0.36/0.57 %**** Beginning of derivation protocol ****
% 0.36/0.57 % SZS output start CNFRefutation
% See solution above
% 0.36/0.58
% 0.36/0.58 %**** End of derivation protocol ****
% 0.36/0.58 %**** no. of clauses in derivation: 197 ****
% 0.36/0.58 %**** clause counter: 196 ****
% 0.36/0.58
% 0.36/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,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:196,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------