%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:31:34 AM UTC 2026
% Result : Unsatisfiable 29.09s 5.12s
% Output : CNFRefutation 29.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 275 ( 107 unt; 0 typ; 0 def)
% Number of atoms : 2313 ( 692 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 4721 ( 467 ~; 938 |; 0 &;3316 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 591 ( 0 ^; 591 !; 0 ?; 591 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_environment,type,
environment: $i > $o ).
thf(tp_equilibrium,type,
equilibrium: $i > $i ).
thf(tp_first_movers,type,
first_movers: $i ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_growth_rate,type,
growth_rate: $i > $i > $i ).
thf(tp_in_environment,type,
in_environment: $i > $i > $o ).
thf(tp_outcompetes,type,
outcompetes: $i > $i > $i > $o ).
thf(tp_sk1,type,
sk1: $i > $i ).
thf(tp_sk2,type,
sk2: $i > $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_sk4,type,
sk4: $i > $i ).
thf(tp_stable,type,
stable: $i > $o ).
thf(tp_subpopulations,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_26) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_25) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_24) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment_23) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_22) ).
thf(6,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk2 @ A ) @ ( equilibrium @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_41) ).
thf(7,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_40) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_39) ).
thf(9,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_38) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_37) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_36) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_35) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_34) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_33) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_32) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_31) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_30) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_29) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_28) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_27) ).
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,
! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_46) ).
thf(24,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( greater_or_equal @ ( sk4 @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_45) ).
thf(25,negated_conjecture,
! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_44) ).
thf(26,negated_conjecture,
stable @ sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_43) ).
thf(27,negated_conjecture,
environment @ sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_42) ).
thf(28,plain,
$false = $false,
inference(unfold_def,[status(thm)],[22]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(32,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(33,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(34,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk2 @ A ) @ ( equilibrium @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(35,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(37,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(42,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(46,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(47,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(49,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(50,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( greater_or_equal @ ( sk4 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(52,plain,
( ( stable @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(53,plain,
( ( environment @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(54,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(59,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(60,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(61,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(62,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(63,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(64,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(65,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(66,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(67,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(71,plain,
( ( environment @ sk3 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(72,plain,
( ( stable @ sk3 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(73,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(74,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ( greater_or_equal @ ( sk4 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(75,plain,
( ( ! [A: $i] :
( ~ ( in_environment @ sk3 @ A )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ B @ D ) )
| ( outcompetes @ C @ B @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( outcompetes @ C @ B @ D )
| ( greater @ zero @ ( growth_rate @ B @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(79,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(80,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(81,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(82,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ first_movers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(83,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(84,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ ( growth_rate @ first_movers @ B ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(85,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(86,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( equilibrium @ A ) )
| ( ( growth_rate @ efficient_producers @ B )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(87,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(88,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ! [B: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk1 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(89,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(90,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk2 @ A ) @ ( equilibrium @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in_environment @ A @ B )
| ! [C: $i] :
( ~ ( in_environment @ A @ C )
| ( greater @ C @ B )
| ( C = B )
| ( greater @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(95,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(96,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[54]) ).
thf(97,plain,
! [SV1: $i] :
( ( ~ ( in_environment @ sk3 @ SV1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(98,plain,
! [SV2: $i] :
( ( ~ ( in_environment @ sk3 @ SV2 )
| ( greater_or_equal @ ( sk4 @ SV2 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(99,plain,
! [SV3: $i] :
( ( ~ ( in_environment @ sk3 @ SV3 )
| ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(100,plain,
! [SV4: $i] :
( ( ! [SY48: $i] :
( ~ ( environment @ SV4 )
| ! [SY49: $i,SY50: $i] :
( ~ ( subpopulations @ SY48 @ SY49 @ SV4 @ SY50 )
| ~ ( greater_or_equal @ ( growth_rate @ SY49 @ SY50 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SY48 @ SY50 ) )
| ( outcompetes @ SY49 @ SY48 @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(101,plain,
! [SV5: $i] :
( ( ! [SY51: $i] :
( ~ ( environment @ SV5 )
| ! [SY52: $i,SY53: $i] :
( ~ ( subpopulations @ SY51 @ SY52 @ SV5 @ SY53 )
| ~ ( outcompetes @ SY52 @ SY51 @ SY53 )
| ( greater_or_equal @ ( growth_rate @ SY52 @ SY53 ) @ zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(102,plain,
! [SV6: $i] :
( ( ! [SY54: $i] :
( ~ ( environment @ SV6 )
| ! [SY55: $i,SY56: $i] :
( ~ ( subpopulations @ SY54 @ SY55 @ SV6 @ SY56 )
| ~ ( outcompetes @ SY55 @ SY54 @ SY56 )
| ( greater @ zero @ ( growth_rate @ SY54 @ SY56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(103,plain,
! [SV7: $i] :
( ( ~ ( environment @ SV7 )
| ! [SY57: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SY57 )
| ~ ( greater_or_equal @ SY57 @ ( equilibrium @ SV7 ) )
| ( ( growth_rate @ first_movers @ SY57 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY57 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SY57 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(104,plain,
! [SV8: $i] :
( ( ~ ( environment @ SV8 )
| ! [SY58: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SY58 )
| ~ ( greater_or_equal @ SY58 @ ( equilibrium @ SV8 ) )
| ( ( growth_rate @ first_movers @ SY58 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY58 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(105,plain,
! [SV9: $i] :
( ( ~ ( environment @ SV9 )
| ! [SY59: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY59 )
| ~ ( greater_or_equal @ SY59 @ ( equilibrium @ SV9 ) )
| ( ( growth_rate @ first_movers @ SY59 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY59 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY59 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(106,plain,
! [SV10: $i] :
( ( ~ ( environment @ SV10 )
| ! [SY60: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY60 )
| ~ ( greater_or_equal @ SY60 @ ( equilibrium @ SV10 ) )
| ( ( growth_rate @ first_movers @ SY60 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY60 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(107,plain,
! [SV11: $i] :
( ( ~ ( environment @ SV11 )
| ! [SY61: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY61 )
| ~ ( greater_or_equal @ SY61 @ ( equilibrium @ SV11 ) )
| ( ( growth_rate @ efficient_producers @ SY61 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY61 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SY61 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(108,plain,
! [SV12: $i] :
( ( ~ ( environment @ SV12 )
| ! [SY62: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SY62 )
| ~ ( greater_or_equal @ SY62 @ ( equilibrium @ SV12 ) )
| ( ( growth_rate @ efficient_producers @ SY62 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY62 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(109,plain,
! [SV13: $i] :
( ( ~ ( environment @ SV13 )
| ! [SY63: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY63 )
| ~ ( greater_or_equal @ SY63 @ ( equilibrium @ SV13 ) )
| ( ( growth_rate @ efficient_producers @ SY63 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY63 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY63 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(110,plain,
! [SV14: $i] :
( ( ~ ( environment @ SV14 )
| ! [SY64: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY64 )
| ~ ( greater_or_equal @ SY64 @ ( equilibrium @ SV14 ) )
| ( ( growth_rate @ efficient_producers @ SY64 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY64 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(111,plain,
! [SV15: $i] :
( ( ~ ( environment @ SV15 )
| ~ ( stable @ SV15 )
| ( in_environment @ SV15 @ ( sk1 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(112,plain,
! [SV16: $i] :
( ( ~ ( environment @ SV16 )
| ~ ( stable @ SV16 )
| ! [SY65: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY65 )
| ~ ( greater_or_equal @ SY65 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY65 ) @ ( growth_rate @ first_movers @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(113,plain,
! [SV17: $i] :
( ( ~ ( environment @ SV17 )
| ~ ( stable @ SV17 )
| ( in_environment @ SV17 @ ( sk2 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(114,plain,
! [SV18: $i] :
( ( ~ ( environment @ SV18 )
| ~ ( stable @ SV18 )
| ( greater_or_equal @ ( sk2 @ SV18 ) @ ( equilibrium @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(115,plain,
! [SV19: $i] :
( ( ! [SY66: $i] :
( ~ ( greater @ SV19 @ SY66 )
| ! [SY67: $i] :
( ~ ( greater @ SY66 @ SY67 )
| ( greater @ SV19 @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(116,plain,
! [SV20: $i] :
( ( ! [SY68: $i] :
( ~ ( in_environment @ SV20 @ SY68 )
| ! [SY69: $i] :
( ~ ( in_environment @ SV20 @ SY69 )
| ( greater @ SY69 @ SY68 )
| ( SY69 = SY68 )
| ( greater @ SY68 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(117,plain,
! [SV21: $i] :
( ( ! [SY70: $i] :
( ~ ( greater_or_equal @ SV21 @ SY70 )
| ( SV21 = SY70 )
| ( greater @ SV21 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(118,plain,
! [SV22: $i] :
( ( ! [SY71: $i] :
( ~ ( greater @ SV22 @ SY71 )
| ( greater_or_equal @ SV22 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(119,plain,
! [SV23: $i] :
( ( ! [SY72: $i] :
( ( SV23 != SY72 )
| ( greater_or_equal @ SV23 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(120,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( ~ ( in_environment @ sk3 @ SV1 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( ~ ( in_environment @ sk3 @ SV2 ) )
= $true )
| ( ( greater_or_equal @ ( sk4 @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(123,plain,
! [SV3: $i] :
( ( ( ~ ( in_environment @ sk3 @ SV3 ) )
= $true )
| ( ( ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(124,plain,
! [SV24: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ! [SY73: $i,SY74: $i] :
( ~ ( subpopulations @ SV24 @ SY73 @ SV4 @ SY74 )
| ~ ( greater_or_equal @ ( growth_rate @ SY73 @ SY74 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY74 ) )
| ( outcompetes @ SY73 @ SV24 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(125,plain,
! [SV25: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ! [SY75: $i,SY76: $i] :
( ~ ( subpopulations @ SV25 @ SY75 @ SV5 @ SY76 )
| ~ ( outcompetes @ SY75 @ SV25 @ SY76 )
| ( greater_or_equal @ ( growth_rate @ SY75 @ SY76 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(126,plain,
! [SV26: $i,SV6: $i] :
( ( ~ ( environment @ SV6 )
| ! [SY77: $i,SY78: $i] :
( ~ ( subpopulations @ SV26 @ SY77 @ SV6 @ SY78 )
| ~ ( outcompetes @ SY77 @ SV26 @ SY78 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SY78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(127,plain,
! [SV7: $i] :
( ( ( ~ ( environment @ SV7 ) )
= $true )
| ( ( ! [SY57: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SY57 )
| ~ ( greater_or_equal @ SY57 @ ( equilibrium @ SV7 ) )
| ( ( growth_rate @ first_movers @ SY57 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY57 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SY57 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(128,plain,
! [SV8: $i] :
( ( ( ~ ( environment @ SV8 ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SY58 )
| ~ ( greater_or_equal @ SY58 @ ( equilibrium @ SV8 ) )
| ( ( growth_rate @ first_movers @ SY58 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY58 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(129,plain,
! [SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY59 )
| ~ ( greater_or_equal @ SY59 @ ( equilibrium @ SV9 ) )
| ( ( growth_rate @ first_movers @ SY59 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY59 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY59 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(130,plain,
! [SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY60 )
| ~ ( greater_or_equal @ SY60 @ ( equilibrium @ SV10 ) )
| ( ( growth_rate @ first_movers @ SY60 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY60 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY60 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(131,plain,
! [SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY61 )
| ~ ( greater_or_equal @ SY61 @ ( equilibrium @ SV11 ) )
| ( ( growth_rate @ efficient_producers @ SY61 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY61 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SY61 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(132,plain,
! [SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SY62 )
| ~ ( greater_or_equal @ SY62 @ ( equilibrium @ SV12 ) )
| ( ( growth_rate @ efficient_producers @ SY62 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY62 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY62 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(133,plain,
! [SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY63 )
| ~ ( greater_or_equal @ SY63 @ ( equilibrium @ SV13 ) )
| ( ( growth_rate @ efficient_producers @ SY63 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY63 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY63 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(134,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY64 )
| ~ ( greater_or_equal @ SY64 @ ( equilibrium @ SV14 ) )
| ( ( growth_rate @ efficient_producers @ SY64 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY64 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(135,plain,
! [SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( ~ ( stable @ SV15 )
| ( in_environment @ SV15 @ ( sk1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(136,plain,
! [SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ~ ( stable @ SV16 )
| ! [SY65: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY65 )
| ~ ( greater_or_equal @ SY65 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY65 ) @ ( growth_rate @ first_movers @ SY65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(137,plain,
! [SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( ~ ( stable @ SV17 )
| ( in_environment @ SV17 @ ( sk2 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(138,plain,
! [SV18: $i] :
( ( ( ~ ( environment @ SV18 ) )
= $true )
| ( ( ~ ( stable @ SV18 )
| ( greater_or_equal @ ( sk2 @ SV18 ) @ ( equilibrium @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(139,plain,
! [SV27: $i,SV19: $i] :
( ( ~ ( greater @ SV19 @ SV27 )
| ! [SY79: $i] :
( ~ ( greater @ SV27 @ SY79 )
| ( greater @ SV19 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(140,plain,
! [SV28: $i,SV20: $i] :
( ( ~ ( in_environment @ SV20 @ SV28 )
| ! [SY80: $i] :
( ~ ( in_environment @ SV20 @ SY80 )
| ( greater @ SY80 @ SV28 )
| ( SY80 = SV28 )
| ( greater @ SV28 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(141,plain,
! [SV29: $i,SV21: $i] :
( ( ~ ( greater_or_equal @ SV21 @ SV29 )
| ( SV21 = SV29 )
| ( greater @ SV21 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(142,plain,
! [SV30: $i,SV22: $i] :
( ( ~ ( greater @ SV22 @ SV30 )
| ( greater_or_equal @ SV22 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV31: $i,SV23: $i] :
( ( ( SV23 != SV31 )
| ( greater_or_equal @ SV23 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(144,plain,
! [SV1: $i] :
( ( ( in_environment @ sk3 @ SV1 )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(145,plain,
! [SV2: $i] :
( ( ( in_environment @ sk3 @ SV2 )
= $false )
| ( ( greater_or_equal @ ( sk4 @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(146,plain,
! [SV3: $i] :
( ( ( in_environment @ sk3 @ SV3 )
= $false )
| ( ( ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(147,plain,
! [SV24: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ! [SY73: $i,SY74: $i] :
( ~ ( subpopulations @ SV24 @ SY73 @ SV4 @ SY74 )
| ~ ( greater_or_equal @ ( growth_rate @ SY73 @ SY74 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY74 ) )
| ( outcompetes @ SY73 @ SV24 @ SY74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(148,plain,
! [SV25: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ! [SY75: $i,SY76: $i] :
( ~ ( subpopulations @ SV25 @ SY75 @ SV5 @ SY76 )
| ~ ( outcompetes @ SY75 @ SV25 @ SY76 )
| ( greater_or_equal @ ( growth_rate @ SY75 @ SY76 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(149,plain,
! [SV26: $i,SV6: $i] :
( ( ( ~ ( environment @ SV6 ) )
= $true )
| ( ( ! [SY77: $i,SY78: $i] :
( ~ ( subpopulations @ SV26 @ SY77 @ SV6 @ SY78 )
| ~ ( outcompetes @ SY77 @ SV26 @ SY78 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SY78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(150,plain,
! [SV7: $i] :
( ( ( environment @ SV7 )
= $false )
| ( ( ! [SY57: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SY57 )
| ~ ( greater_or_equal @ SY57 @ ( equilibrium @ SV7 ) )
| ( ( growth_rate @ first_movers @ SY57 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY57 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SY57 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(151,plain,
! [SV8: $i] :
( ( ( environment @ SV8 )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SY58 )
| ~ ( greater_or_equal @ SY58 @ ( equilibrium @ SV8 ) )
| ( ( growth_rate @ first_movers @ SY58 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY58 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(152,plain,
! [SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SY59 )
| ~ ( greater_or_equal @ SY59 @ ( equilibrium @ SV9 ) )
| ( ( growth_rate @ first_movers @ SY59 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY59 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY59 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(153,plain,
! [SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ! [SY60: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SY60 )
| ~ ( greater_or_equal @ SY60 @ ( equilibrium @ SV10 ) )
| ( ( growth_rate @ first_movers @ SY60 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY60 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY60 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(154,plain,
! [SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SY61 )
| ~ ( greater_or_equal @ SY61 @ ( equilibrium @ SV11 ) )
| ( ( growth_rate @ efficient_producers @ SY61 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY61 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SY61 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(155,plain,
! [SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ! [SY62: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SY62 )
| ~ ( greater_or_equal @ SY62 @ ( equilibrium @ SV12 ) )
| ( ( growth_rate @ efficient_producers @ SY62 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SY62 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY62 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY63 )
| ~ ( greater_or_equal @ SY63 @ ( equilibrium @ SV13 ) )
| ( ( growth_rate @ efficient_producers @ SY63 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY63 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY63 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(157,plain,
! [SV14: $i] :
( ( ( environment @ SV14 )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SY64 )
| ~ ( greater_or_equal @ SY64 @ ( equilibrium @ SV14 ) )
| ( ( growth_rate @ efficient_producers @ SY64 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SY64 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SY64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(158,plain,
! [SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( ~ ( stable @ SV15 )
| ( in_environment @ SV15 @ ( sk1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(159,plain,
! [SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ~ ( stable @ SV16 )
| ! [SY65: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY65 )
| ~ ( greater_or_equal @ SY65 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY65 ) @ ( growth_rate @ first_movers @ SY65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(160,plain,
! [SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( ~ ( stable @ SV17 )
| ( in_environment @ SV17 @ ( sk2 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(161,plain,
! [SV18: $i] :
( ( ( environment @ SV18 )
= $false )
| ( ( ~ ( stable @ SV18 )
| ( greater_or_equal @ ( sk2 @ SV18 ) @ ( equilibrium @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(162,plain,
! [SV27: $i,SV19: $i] :
( ( ( ~ ( greater @ SV19 @ SV27 ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( greater @ SV27 @ SY79 )
| ( greater @ SV19 @ SY79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(163,plain,
! [SV28: $i,SV20: $i] :
( ( ( ~ ( in_environment @ SV20 @ SV28 ) )
= $true )
| ( ( ! [SY80: $i] :
( ~ ( in_environment @ SV20 @ SY80 )
| ( greater @ SY80 @ SV28 )
| ( SY80 = SV28 )
| ( greater @ SV28 @ SY80 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(164,plain,
! [SV29: $i,SV21: $i] :
( ( ( ~ ( greater_or_equal @ SV21 @ SV29 ) )
= $true )
| ( ( ( SV21 = SV29 )
| ( greater @ SV21 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(165,plain,
! [SV30: $i,SV22: $i] :
( ( ( ~ ( greater @ SV22 @ SV30 ) )
= $true )
| ( ( greater_or_equal @ SV22 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(166,plain,
! [SV31: $i,SV23: $i] :
( ( ( SV23 != SV31 )
= $true )
| ( ( greater_or_equal @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(167,plain,
! [SV3: $i] :
( ( ( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ SV3 ) )
= $false )
| ( ( in_environment @ sk3 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(168,plain,
! [SV24: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ! [SY73: $i,SY74: $i] :
( ~ ( subpopulations @ SV24 @ SY73 @ SV4 @ SY74 )
| ~ ( greater_or_equal @ ( growth_rate @ SY73 @ SY74 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY74 ) )
| ( outcompetes @ SY73 @ SV24 @ SY74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(169,plain,
! [SV25: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ! [SY75: $i,SY76: $i] :
( ~ ( subpopulations @ SV25 @ SY75 @ SV5 @ SY76 )
| ~ ( outcompetes @ SY75 @ SV25 @ SY76 )
| ( greater_or_equal @ ( growth_rate @ SY75 @ SY76 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(170,plain,
! [SV26: $i,SV6: $i] :
( ( ( environment @ SV6 )
= $false )
| ( ( ! [SY77: $i,SY78: $i] :
( ~ ( subpopulations @ SV26 @ SY77 @ SV6 @ SY78 )
| ~ ( outcompetes @ SY77 @ SV26 @ SY78 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SY78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(171,plain,
! [SV32: $i,SV7: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 )
| ~ ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) )
| ( ( growth_rate @ first_movers @ SV32 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(172,plain,
! [SV33: $i,SV8: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 )
| ~ ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) )
| ( ( growth_rate @ first_movers @ SV33 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV34: $i,SV9: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 )
| ~ ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) )
| ( ( growth_rate @ first_movers @ SV34 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(174,plain,
! [SV35: $i,SV10: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 )
| ~ ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) )
| ( ( growth_rate @ first_movers @ SV35 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(175,plain,
! [SV36: $i,SV11: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 )
| ~ ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) )
| ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV37: $i,SV12: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 )
| ~ ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) )
| ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV38: $i,SV13: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 )
| ~ ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) )
| ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 )
| ~ ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) )
| ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV15: $i] :
( ( ( ~ ( stable @ SV15 ) )
= $true )
| ( ( in_environment @ SV15 @ ( sk1 @ SV15 ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV16: $i] :
( ( ( ~ ( stable @ SV16 ) )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY65 )
| ~ ( greater_or_equal @ SY65 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY65 ) @ ( growth_rate @ first_movers @ SY65 ) ) ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV17: $i] :
( ( ( ~ ( stable @ SV17 ) )
= $true )
| ( ( in_environment @ SV17 @ ( sk2 @ SV17 ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(182,plain,
! [SV18: $i] :
( ( ( ~ ( stable @ SV18 ) )
= $true )
| ( ( greater_or_equal @ ( sk2 @ SV18 ) @ ( equilibrium @ SV18 ) )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV27: $i,SV19: $i] :
( ( ( greater @ SV19 @ SV27 )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( greater @ SV27 @ SY79 )
| ( greater @ SV19 @ SY79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV28: $i,SV20: $i] :
( ( ( in_environment @ SV20 @ SV28 )
= $false )
| ( ( ! [SY80: $i] :
( ~ ( in_environment @ SV20 @ SY80 )
| ( greater @ SY80 @ SV28 )
| ( SY80 = SV28 )
| ( greater @ SV28 @ SY80 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV29: $i,SV21: $i] :
( ( ( greater_or_equal @ SV21 @ SV29 )
= $false )
| ( ( ( SV21 = SV29 )
| ( greater @ SV21 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV30: $i,SV22: $i] :
( ( ( greater @ SV22 @ SV30 )
= $false )
| ( ( greater_or_equal @ SV22 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV31: $i,SV23: $i] :
( ( ( SV23 = SV31 )
= $false )
| ( ( greater_or_equal @ SV23 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV4: $i,SV40: $i,SV24: $i] :
( ( ( ! [SY81: $i] :
( ~ ( subpopulations @ SV24 @ SV40 @ SV4 @ SY81 )
| ~ ( greater_or_equal @ ( growth_rate @ SV40 @ SY81 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SY81 ) )
| ( outcompetes @ SV40 @ SV24 @ SY81 ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(189,plain,
! [SV5: $i,SV41: $i,SV25: $i] :
( ( ( ! [SY82: $i] :
( ~ ( subpopulations @ SV25 @ SV41 @ SV5 @ SY82 )
| ~ ( outcompetes @ SV41 @ SV25 @ SY82 )
| ( greater_or_equal @ ( growth_rate @ SV41 @ SY82 ) @ zero ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(190,plain,
! [SV6: $i,SV42: $i,SV26: $i] :
( ( ( ! [SY83: $i] :
( ~ ( subpopulations @ SV26 @ SV42 @ SV6 @ SY83 )
| ~ ( outcompetes @ SV42 @ SV26 @ SY83 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SY83 ) ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(191,plain,
! [SV32: $i,SV7: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) )
| ( ( growth_rate @ first_movers @ SV32 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(192,plain,
! [SV33: $i,SV8: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) )
| ( ( growth_rate @ first_movers @ SV33 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(193,plain,
! [SV34: $i,SV9: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) )
| ( ( growth_rate @ first_movers @ SV34 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(194,plain,
! [SV35: $i,SV10: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) )
| ( ( growth_rate @ first_movers @ SV35 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(195,plain,
! [SV36: $i,SV11: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) )
| ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(196,plain,
! [SV37: $i,SV12: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) )
| ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(197,plain,
! [SV38: $i,SV13: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) )
| ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(198,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) )
| ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(199,plain,
! [SV15: $i] :
( ( ( stable @ SV15 )
= $false )
| ( ( in_environment @ SV15 @ ( sk1 @ SV15 ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(200,plain,
! [SV16: $i] :
( ( ( stable @ SV16 )
= $false )
| ( ( ! [SY65: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SY65 )
| ~ ( greater_or_equal @ SY65 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SY65 ) @ ( growth_rate @ first_movers @ SY65 ) ) ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(201,plain,
! [SV17: $i] :
( ( ( stable @ SV17 )
= $false )
| ( ( in_environment @ SV17 @ ( sk2 @ SV17 ) )
= $true )
| ( ( environment @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(202,plain,
! [SV18: $i] :
( ( ( stable @ SV18 )
= $false )
| ( ( greater_or_equal @ ( sk2 @ SV18 ) @ ( equilibrium @ SV18 ) )
= $true )
| ( ( environment @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(203,plain,
! [SV19: $i,SV43: $i,SV27: $i] :
( ( ( ~ ( greater @ SV27 @ SV43 )
| ( greater @ SV19 @ SV43 ) )
= $true )
| ( ( greater @ SV19 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(204,plain,
! [SV28: $i,SV44: $i,SV20: $i] :
( ( ( ~ ( in_environment @ SV20 @ SV44 )
| ( greater @ SV44 @ SV28 )
| ( SV44 = SV28 )
| ( greater @ SV28 @ SV44 ) )
= $true )
| ( ( in_environment @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(205,plain,
! [SV29: $i,SV21: $i] :
( ( ( SV21 = SV29 )
= $true )
| ( ( greater @ SV21 @ SV29 )
= $true )
| ( ( greater_or_equal @ SV21 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(206,plain,
! [SV45: $i,SV4: $i,SV40: $i,SV24: $i] :
( ( ( ~ ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 )
| ~ ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) )
| ( outcompetes @ SV40 @ SV24 @ SV45 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV46: $i,SV5: $i,SV41: $i,SV25: $i] :
( ( ( ~ ( subpopulations @ SV25 @ SV41 @ SV5 @ SV46 )
| ~ ( outcompetes @ SV41 @ SV25 @ SV46 )
| ( greater_or_equal @ ( growth_rate @ SV41 @ SV46 ) @ zero ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV47: $i,SV6: $i,SV42: $i,SV26: $i] :
( ( ( ~ ( subpopulations @ SV26 @ SV42 @ SV6 @ SV47 )
| ~ ( outcompetes @ SV42 @ SV26 @ SV47 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SV47 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(209,plain,
! [SV32: $i,SV7: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 )
= $false )
| ( ( ~ ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) )
| ( ( growth_rate @ first_movers @ SV32 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(210,plain,
! [SV33: $i,SV8: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 )
= $false )
| ( ( ~ ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) )
| ( ( growth_rate @ first_movers @ SV33 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV34: $i,SV9: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 )
= $false )
| ( ( ~ ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) )
| ( ( growth_rate @ first_movers @ SV34 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero ) )
= $true )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV35: $i,SV10: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 )
= $false )
| ( ( ~ ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) )
| ( ( growth_rate @ first_movers @ SV35 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) ) )
= $true )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(213,plain,
! [SV36: $i,SV11: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 )
= $false )
| ( ( ~ ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) )
| ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV37: $i,SV12: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 )
= $false )
| ( ( ~ ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) )
| ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV38: $i,SV13: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 )
= $false )
| ( ( ~ ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) )
| ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV39: $i,SV14: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 )
= $false )
| ( ( ~ ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) )
| ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV48: $i,SV16: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV48 )
| ~ ( greater_or_equal @ SV48 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV48 ) @ ( growth_rate @ first_movers @ SV48 ) ) )
= $true )
| ( ( stable @ SV16 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(218,plain,
! [SV19: $i,SV43: $i,SV27: $i] :
( ( ( ~ ( greater @ SV27 @ SV43 ) )
= $true )
| ( ( greater @ SV19 @ SV43 )
= $true )
| ( ( greater @ SV19 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(219,plain,
! [SV28: $i,SV44: $i,SV20: $i] :
( ( ( ~ ( in_environment @ SV20 @ SV44 ) )
= $true )
| ( ( ( greater @ SV44 @ SV28 )
| ( SV44 = SV28 )
| ( greater @ SV28 @ SV44 ) )
= $true )
| ( ( in_environment @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(220,plain,
! [SV45: $i,SV4: $i,SV40: $i,SV24: $i] :
( ( ( ~ ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) )
| ( outcompetes @ SV40 @ SV24 @ SV45 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(221,plain,
! [SV46: $i,SV5: $i,SV41: $i,SV25: $i] :
( ( ( ~ ( subpopulations @ SV25 @ SV41 @ SV5 @ SV46 ) )
= $true )
| ( ( ~ ( outcompetes @ SV41 @ SV25 @ SV46 )
| ( greater_or_equal @ ( growth_rate @ SV41 @ SV46 ) @ zero ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(222,plain,
! [SV47: $i,SV6: $i,SV42: $i,SV26: $i] :
( ( ( ~ ( subpopulations @ SV26 @ SV42 @ SV6 @ SV47 ) )
= $true )
| ( ( ~ ( outcompetes @ SV42 @ SV26 @ SV47 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SV47 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(223,plain,
! [SV7: $i,SV32: $i] :
( ( ( ~ ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) ) )
= $true )
| ( ( ( ( growth_rate @ first_movers @ SV32 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(224,plain,
! [SV8: $i,SV33: $i] :
( ( ( ~ ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) ) )
= $true )
| ( ( ( ( growth_rate @ first_movers @ SV33 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(225,plain,
! [SV9: $i,SV34: $i] :
( ( ( ~ ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) ) )
= $true )
| ( ( ( ( growth_rate @ first_movers @ SV34 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(226,plain,
! [SV10: $i,SV35: $i] :
( ( ( ~ ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) ) )
= $true )
| ( ( ( ( growth_rate @ first_movers @ SV35 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 )
= $false )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(227,plain,
! [SV11: $i,SV36: $i] :
( ( ( ~ ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) ) )
= $true )
| ( ( ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(228,plain,
! [SV12: $i,SV37: $i] :
( ( ( ~ ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) ) )
= $true )
| ( ( ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(229,plain,
! [SV13: $i,SV38: $i] :
( ( ( ~ ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) ) )
= $true )
| ( ( ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(230,plain,
! [SV14: $i,SV39: $i] :
( ( ( ~ ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) ) )
= $true )
| ( ( ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(231,plain,
! [SV48: $i,SV16: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV48 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV48 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV48 ) @ ( growth_rate @ first_movers @ SV48 ) ) )
= $true )
| ( ( stable @ SV16 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(232,plain,
! [SV19: $i,SV43: $i,SV27: $i] :
( ( ( greater @ SV27 @ SV43 )
= $false )
| ( ( greater @ SV19 @ SV43 )
= $true )
| ( ( greater @ SV19 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(233,plain,
! [SV28: $i,SV44: $i,SV20: $i] :
( ( ( in_environment @ SV20 @ SV44 )
= $false )
| ( ( ( greater @ SV44 @ SV28 )
| ( SV44 = SV28 )
| ( greater @ SV28 @ SV44 ) )
= $true )
| ( ( in_environment @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(234,plain,
! [SV45: $i,SV4: $i,SV40: $i,SV24: $i] :
( ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 )
= $false )
| ( ( ~ ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) )
| ( outcompetes @ SV40 @ SV24 @ SV45 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(235,plain,
! [SV46: $i,SV5: $i,SV41: $i,SV25: $i] :
( ( ( subpopulations @ SV25 @ SV41 @ SV5 @ SV46 )
= $false )
| ( ( ~ ( outcompetes @ SV41 @ SV25 @ SV46 )
| ( greater_or_equal @ ( growth_rate @ SV41 @ SV46 ) @ zero ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(236,plain,
! [SV47: $i,SV6: $i,SV42: $i,SV26: $i] :
( ( ( subpopulations @ SV26 @ SV42 @ SV6 @ SV47 )
= $false )
| ( ( ~ ( outcompetes @ SV42 @ SV26 @ SV47 )
| ( greater @ zero @ ( growth_rate @ SV26 @ SV47 ) ) )
= $true )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(237,plain,
! [SV7: $i,SV32: $i] :
( ( ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) )
= $false )
| ( ( ( ( growth_rate @ first_movers @ SV32 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(238,plain,
! [SV8: $i,SV33: $i] :
( ( ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) )
= $false )
| ( ( ( ( growth_rate @ first_movers @ SV33 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(239,plain,
! [SV9: $i,SV34: $i] :
( ( ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) )
= $false )
| ( ( ( ( growth_rate @ first_movers @ SV34 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(240,plain,
! [SV10: $i,SV35: $i] :
( ( ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) )
= $false )
| ( ( ( ( growth_rate @ first_movers @ SV35 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 )
= $false )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(241,plain,
! [SV11: $i,SV36: $i] :
( ( ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) )
= $false )
| ( ( ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(242,plain,
! [SV12: $i,SV37: $i] :
( ( ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) )
= $false )
| ( ( ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
| ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(243,plain,
! [SV13: $i,SV38: $i] :
( ( ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) )
= $false )
| ( ( ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(244,plain,
! [SV14: $i,SV39: $i] :
( ( ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) )
= $false )
| ( ( ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(245,plain,
! [SV48: $i,SV16: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV48 )
= $false )
| ( ( ~ ( greater_or_equal @ SV48 @ ( sk1 @ SV16 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV48 ) @ ( growth_rate @ first_movers @ SV48 ) ) )
= $true )
| ( ( stable @ SV16 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(246,plain,
! [SV20: $i,SV28: $i,SV44: $i] :
( ( ( greater @ SV44 @ SV28 )
= $true )
| ( ( ( SV44 = SV28 )
| ( greater @ SV28 @ SV44 ) )
= $true )
| ( ( in_environment @ SV20 @ SV44 )
= $false )
| ( ( in_environment @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(247,plain,
! [SV4: $i,SV24: $i,SV45: $i,SV40: $i] :
( ( ( ~ ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) )
| ( outcompetes @ SV40 @ SV24 @ SV45 ) )
= $true )
| ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(248,plain,
! [SV5: $i,SV46: $i,SV25: $i,SV41: $i] :
( ( ( ~ ( outcompetes @ SV41 @ SV25 @ SV46 ) )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV41 @ SV46 ) @ zero )
= $true )
| ( ( subpopulations @ SV25 @ SV41 @ SV5 @ SV46 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(249,plain,
! [SV6: $i,SV47: $i,SV26: $i,SV42: $i] :
( ( ( ~ ( outcompetes @ SV42 @ SV26 @ SV47 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV26 @ SV47 ) )
= $true )
| ( ( subpopulations @ SV26 @ SV42 @ SV6 @ SV47 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(250,plain,
! [SV7: $i,SV32: $i] :
( ( ( ( growth_rate @ first_movers @ SV32 )
= zero )
= $true )
| ( ( ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(251,plain,
! [SV8: $i,SV33: $i] :
( ( ( ( growth_rate @ first_movers @ SV33 )
= zero )
= $true )
| ( ( ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) ) )
= $true )
| ( ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(252,plain,
! [SV9: $i,SV34: $i] :
( ( ( ( growth_rate @ first_movers @ SV34 )
= zero )
= $true )
| ( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero ) )
= $true )
| ( ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(253,plain,
! [SV10: $i,SV35: $i] :
( ( ( ( growth_rate @ first_movers @ SV35 )
= zero )
= $true )
| ( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) ) )
= $true )
| ( ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 )
= $false )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(254,plain,
! [SV11: $i,SV36: $i] :
( ( ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
= $true )
| ( ( ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero ) )
= $true )
| ( ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(255,plain,
! [SV12: $i,SV37: $i] :
( ( ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
= $true )
| ( ( ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) ) )
= $true )
| ( ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(256,plain,
! [SV13: $i,SV38: $i] :
( ( ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
= $true )
| ( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
| ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero ) )
= $true )
| ( ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(257,plain,
! [SV14: $i,SV39: $i] :
( ( ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
= $true )
| ( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) ) )
= $true )
| ( ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(258,plain,
! [SV16: $i,SV48: $i] :
( ( ( ~ ( greater_or_equal @ SV48 @ ( sk1 @ SV16 ) ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV48 ) @ ( growth_rate @ first_movers @ SV48 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV48 )
= $false )
| ( ( stable @ SV16 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(259,plain,
! [SV20: $i,SV28: $i,SV44: $i] :
( ( ( SV44 = SV28 )
= $true )
| ( ( greater @ SV28 @ SV44 )
= $true )
| ( ( greater @ SV44 @ SV28 )
= $true )
| ( ( in_environment @ SV20 @ SV44 )
= $false )
| ( ( in_environment @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(260,plain,
! [SV4: $i,SV24: $i,SV45: $i,SV40: $i] :
( ( ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) )
| ( outcompetes @ SV40 @ SV24 @ SV45 ) )
= $true )
| ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(261,plain,
! [SV5: $i,SV46: $i,SV25: $i,SV41: $i] :
( ( ( outcompetes @ SV41 @ SV25 @ SV46 )
= $false )
| ( ( greater_or_equal @ ( growth_rate @ SV41 @ SV46 ) @ zero )
= $true )
| ( ( subpopulations @ SV25 @ SV41 @ SV5 @ SV46 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV6: $i,SV47: $i,SV26: $i,SV42: $i] :
( ( ( outcompetes @ SV42 @ SV26 @ SV47 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV26 @ SV47 ) )
= $true )
| ( ( subpopulations @ SV26 @ SV42 @ SV6 @ SV47 )
= $false )
| ( ( environment @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV7: $i,SV32: $i] :
( ( ( greater @ ( growth_rate @ first_movers @ SV32 ) @ zero )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV32 ) @ zero )
= $true )
| ( ( ( growth_rate @ first_movers @ SV32 )
= zero )
= $true )
| ( ( greater_or_equal @ SV32 @ ( equilibrium @ SV7 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV7 @ SV32 )
= $false )
| ( ( environment @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV8: $i,SV33: $i] :
( ( ( greater @ ( growth_rate @ first_movers @ SV33 ) @ zero )
= $true )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ SV33 ) )
= $true )
| ( ( ( growth_rate @ first_movers @ SV33 )
= zero )
= $true )
| ( ( greater_or_equal @ SV33 @ ( equilibrium @ SV8 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV8 @ SV33 )
= $false )
| ( ( environment @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(265,plain,
! [SV9: $i,SV34: $i] :
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV34 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV34 ) @ zero )
= $true )
| ( ( ( growth_rate @ first_movers @ SV34 )
= zero )
= $true )
| ( ( greater_or_equal @ SV34 @ ( equilibrium @ SV9 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV9 @ SV34 )
= $false )
| ( ( environment @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(266,plain,
! [SV10: $i,SV35: $i] :
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV35 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ SV35 ) )
= $true )
| ( ( ( growth_rate @ first_movers @ SV35 )
= zero )
= $true )
| ( ( greater_or_equal @ SV35 @ ( equilibrium @ SV10 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV10 @ SV35 )
= $false )
| ( ( environment @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(267,plain,
! [SV11: $i,SV36: $i] :
( ( ( greater @ ( growth_rate @ first_movers @ SV36 ) @ zero )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV36 ) @ zero )
= $true )
| ( ( ( growth_rate @ efficient_producers @ SV36 )
= zero )
= $true )
| ( ( greater_or_equal @ SV36 @ ( equilibrium @ SV11 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV11 @ SV36 )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(268,plain,
! [SV12: $i,SV37: $i] :
( ( ( greater @ ( growth_rate @ first_movers @ SV37 ) @ zero )
= $true )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ SV37 ) )
= $true )
| ( ( ( growth_rate @ efficient_producers @ SV37 )
= zero )
= $true )
| ( ( greater_or_equal @ SV37 @ ( equilibrium @ SV12 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV12 @ SV37 )
= $false )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(269,plain,
! [SV13: $i,SV38: $i] :
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV38 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV38 ) @ zero )
= $true )
| ( ( ( growth_rate @ efficient_producers @ SV38 )
= zero )
= $true )
| ( ( greater_or_equal @ SV38 @ ( equilibrium @ SV13 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV38 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(270,plain,
! [SV14: $i,SV39: $i] :
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ SV39 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ SV39 ) )
= $true )
| ( ( ( growth_rate @ efficient_producers @ SV39 )
= zero )
= $true )
| ( ( greater_or_equal @ SV39 @ ( equilibrium @ SV14 ) )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV14 @ SV39 )
= $false )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(271,plain,
! [SV16: $i,SV48: $i] :
( ( ( greater_or_equal @ SV48 @ ( sk1 @ SV16 ) )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV48 ) @ ( growth_rate @ first_movers @ SV48 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV16 @ SV48 )
= $false )
| ( ( stable @ SV16 )
= $false )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(272,plain,
! [SV4: $i,SV40: $i,SV45: $i,SV24: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) ) )
= $true )
| ( ( outcompetes @ SV40 @ SV24 @ SV45 )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero )
= $false )
| ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(273,plain,
! [SV4: $i,SV40: $i,SV45: $i,SV24: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV24 @ SV45 ) )
= $false )
| ( ( outcompetes @ SV40 @ SV24 @ SV45 )
= $true )
| ( ( greater_or_equal @ ( growth_rate @ SV40 @ SV45 ) @ zero )
= $false )
| ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV45 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(274,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[71,273,271,270,269,268,267,266,265,264,263,262,261,259,232,205,202,201,199,187,186,167,145,144,120,72]) ).
thf(275,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 12:42:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.09/5.12
% 29.09/5.12 No.of.Axioms: 25
% 29.09/5.12
% 29.09/5.12 Length.of.Defs: 0
% 29.09/5.12
% 29.09/5.12 Contains.Choice.Funs: false
% 29.09/5.12 ........
% 29.09/5.12
% 29.09/5.12 ********************************
% 29.09/5.12 * All subproblems solved! *
% 29.09/5.12 ********************************
% 29.09/5.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:25,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:274,loop_count:0,foatp_calls:1,translation:fof_full)
% 29.09/5.12
% 29.09/5.12 %**** Beginning of derivation protocol ****
% 29.09/5.12 % SZS output start CNFRefutation
% See solution above
% 29.09/5.13
% 29.09/5.13 %**** End of derivation protocol ****
% 29.09/5.13 %**** no. of clauses in derivation: 275 ****
% 29.09/5.13 %**** clause counter: 274 ****
% 29.09/5.13
% 29.09/5.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:25,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:274,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------