TSTP Solution File: MGT039-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT039-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:17:27 EDT 2022
% Result : Unsatisfiable 26.35s 26.57s
% Output : CNFRefutation 26.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 51
% Syntax : Number of formulae : 302 ( 116 unt; 22 typ; 0 def)
% Number of atoms : 2108 ( 590 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 3710 ( 527 ~; 770 |; 0 &;2413 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 556 ( 0 ^ 556 !; 0 ?; 556 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_appear,type,
appear: $i > $i > $i ).
thf(tp_cardinality_at_time,type,
cardinality_at_time: $i > $i > $i ).
thf(tp_critical_point,type,
critical_point: $i > $i ).
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_end_time,type,
end_time: $i > $i ).
thf(tp_environment,type,
environment: $i > $o ).
thf(tp_first_movers,type,
first_movers: $i ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_growth_rate,type,
growth_rate: $i > $i > $i ).
thf(tp_in_environment,type,
in_environment: $i > $i > $o ).
thf(tp_observational_period,type,
observational_period: $i > $o ).
thf(tp_propagation_strategy,type,
propagation_strategy: $i > $o ).
thf(tp_selection_favors,type,
selection_favors: $i > $i > $i > $o ).
thf(tp_sk1,type,
sk1: $i > $i ).
thf(tp_sk2,type,
sk2: $i > $i > $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_slow_change,type,
slow_change: $i > $o ).
thf(tp_start_time,type,
start_time: $i > $i ).
thf(tp_subpopulation,type,
subpopulation: $i > $i > $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_54) ).
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_53) ).
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_52) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_beginning_and_ending_51) ).
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_50) ).
thf(6,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
thf(7,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_47) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_46) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_43) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_42) ).
thf(14,axiom,
propagation_strategy @ efficient_producers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).
thf(15,axiom,
propagation_strategy @ first_movers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_39) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_38) ).
thf(18,axiom,
! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ A ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
thf(19,axiom,
! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ A @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
thf(20,axiom,
! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( subpopulation @ D @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( cardinality_at_time @ D @ C )
!= zero )
| ( selection_favors @ B @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members_34) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_57) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ( B
!= ( critical_point @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ B )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_56) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( B
!= ( critical_point @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_55) ).
thf(26,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(27,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,negated_conjecture,
~ ( selection_favors @ efficient_producers @ first_movers @ sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_60) ).
thf(29,negated_conjecture,
slow_change @ sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_59) ).
thf(30,negated_conjecture,
observational_period @ sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_58) ).
thf(31,plain,
$false = $false,
inference(unfold_def,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(36,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(37,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(38,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(42,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(45,plain,
( ( propagation_strategy @ efficient_producers )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(46,plain,
( ( propagation_strategy @ first_movers )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(49,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ A ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(50,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ A @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(52,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulation @ B @ A @ C )
| ~ ( subpopulation @ D @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( cardinality_at_time @ D @ C )
!= zero )
| ( selection_favors @ B @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( environment @ A )
| ( B
!= ( critical_point @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ B )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ( B
!= ( critical_point @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(57,plain,
( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sk3 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(58,plain,
( ( slow_change @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(59,plain,
( ( observational_period @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(60,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(63,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(64,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(65,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(66,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(67,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(68,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(69,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(70,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(71,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ! [B: $i] :
( ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(72,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ! [B: $i] :
( ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ! [D: $i] :
( ~ ( subpopulation @ D @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( cardinality_at_time @ D @ C )
!= zero )
| ( selection_favors @ B @ D @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(75,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(76,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( B
!= ( critical_point @ A ) )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ B )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(77,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( B
!= ( critical_point @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(78,plain,
( ( observational_period @ sk3 )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(79,plain,
( ( slow_change @ sk3 )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(80,plain,
( ( ~ ( selection_favors @ efficient_producers @ first_movers @ sk3 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(81,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( B
!= ( critical_point @ A ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(82,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ( B
!= ( critical_point @ A ) )
| ! [C: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater @ C @ B )
| ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(83,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i,D: $i] :
( ~ ( subpopulations @ B @ C @ A @ D )
| ~ ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) )
| ( selection_favors @ C @ B @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] :
( ~ ( environment @ A )
| ! [C: $i] :
( ~ ( subpopulation @ B @ A @ C )
| ! [D: $i] :
( ~ ( subpopulation @ D @ A @ C )
| ~ ( greater @ ( cardinality_at_time @ B @ C ) @ zero )
| ( ( cardinality_at_time @ D @ C )
!= zero )
| ( selection_favors @ B @ D @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(86,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(87,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ A @ ( sk1 @ A ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(88,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ A ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ A ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(89,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ! [B: $i] :
( ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( in_environment @ B @ ( sk2 @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(90,plain,
( ( ! [A: $i] :
( ~ ( observational_period @ A )
| ~ ( slow_change @ A )
| ! [B: $i] :
( ~ ( environment @ B )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk2 @ B @ A ) @ ( critical_point @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(91,plain,
( ( propagation_strategy @ first_movers )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(92,plain,
( ( propagation_strategy @ efficient_producers )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(93,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( greater_or_equal @ B @ ( start_time @ A ) )
| ~ ( greater_or_equal @ ( end_time @ A ) @ B )
| ( in_environment @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(94,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(95,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(96,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(97,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ first_movers @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(98,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( in_environment @ A @ B )
| ( subpopulation @ efficient_producers @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(99,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(100,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ! [C: $i] :
( ~ ( greater @ B @ C )
| ( greater @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(102,plain,
( ( ! [A: $i] :
( ~ ( environment @ A )
| ! [B: $i] :
( ~ ( greater @ B @ ( start_time @ A ) )
| ( greater @ B @ ( end_time @ A ) )
| ( greater_or_equal @ ( end_time @ A ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(103,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(106,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(107,plain,
( ( selection_favors @ efficient_producers @ first_movers @ sk3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(108,plain,
! [SV1: $i] :
( ( ~ ( environment @ SV1 )
| ! [SY47: $i] :
( ( SY47
!= ( critical_point @ SV1 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SY47 ) @ ( growth_rate @ first_movers @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(109,plain,
! [SV2: $i] :
( ( ~ ( environment @ SV2 )
| ! [SY48: $i] :
( ( SY48
!= ( critical_point @ SV2 ) )
| ! [SY49: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY49 )
| ~ ( greater @ SY49 @ SY48 )
| ( greater @ ( growth_rate @ efficient_producers @ SY49 ) @ ( growth_rate @ first_movers @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(110,plain,
! [SV3: $i] :
( ( ~ ( environment @ SV3 )
| ! [SY50: $i] :
( ~ ( in_environment @ SV3 @ SY50 )
| ~ ( greater_or_equal @ SY50 @ ( appear @ efficient_producers @ SV3 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY50 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(111,plain,
! [SV4: $i] :
( ( ! [SY51: $i] :
( ~ ( environment @ SV4 )
| ! [SY52: $i,SY53: $i] :
( ~ ( subpopulations @ SY51 @ SY52 @ SV4 @ SY53 )
| ~ ( greater @ ( growth_rate @ SY52 @ SY53 ) @ ( growth_rate @ SY51 @ SY53 ) )
| ( selection_favors @ SY52 @ SY51 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(112,plain,
! [SV5: $i] :
( ( ! [SY54: $i] :
( ~ ( environment @ SV5 )
| ! [SY55: $i] :
( ~ ( subpopulation @ SY54 @ SV5 @ SY55 )
| ! [SY56: $i] :
( ~ ( subpopulation @ SY56 @ SV5 @ SY55 )
| ~ ( greater @ ( cardinality_at_time @ SY54 @ SY55 ) @ zero )
| ( ( cardinality_at_time @ SY56 @ SY55 )
!= zero )
| ( selection_favors @ SY54 @ SY56 @ SY55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(113,plain,
! [SV6: $i] :
( ( ~ ( observational_period @ SV6 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(114,plain,
! [SV7: $i] :
( ( ~ ( observational_period @ SV7 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(115,plain,
! [SV8: $i] :
( ( ~ ( observational_period @ SV8 )
| ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(116,plain,
! [SV9: $i] :
( ( ~ ( observational_period @ SV9 )
| ~ ( slow_change @ SV9 )
| ! [SY57: $i] :
( ~ ( environment @ SY57 )
| ~ ( in_environment @ SV9 @ SY57 )
| ( in_environment @ SY57 @ ( sk2 @ SY57 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(117,plain,
! [SV10: $i] :
( ( ~ ( observational_period @ SV10 )
| ~ ( slow_change @ SV10 )
| ! [SY58: $i] :
( ~ ( environment @ SY58 )
| ~ ( in_environment @ SV10 @ SY58 )
| ( greater @ ( sk2 @ SY58 @ SV10 ) @ ( critical_point @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(118,plain,
! [SV11: $i] :
( ( ~ ( environment @ SV11 )
| ! [SY59: $i] :
( ~ ( greater_or_equal @ SY59 @ ( start_time @ SV11 ) )
| ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SY59 )
| ( in_environment @ SV11 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(119,plain,
! [SV12: $i] :
( ( ~ ( environment @ SV12 )
| ! [SY60: $i] :
( ~ ( in_environment @ SV12 @ SY60 )
| ( greater_or_equal @ ( end_time @ SV12 ) @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(120,plain,
! [SV13: $i] :
( ( ~ ( environment @ SV13 )
| ! [SY61: $i] :
( ~ ( in_environment @ SV13 @ SY61 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SY61 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY61 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(121,plain,
! [SV14: $i] :
( ( ~ ( environment @ SV14 )
| ! [SY62: $i] :
( ~ ( in_environment @ SV14 @ SY62 )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SY62 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(122,plain,
! [SV15: $i] :
( ( ~ ( environment @ SV15 )
| ! [SY63: $i] :
( ~ ( in_environment @ SV15 @ SY63 )
| ( subpopulation @ first_movers @ SV15 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(123,plain,
! [SV16: $i] :
( ( ~ ( environment @ SV16 )
| ! [SY64: $i] :
( ~ ( in_environment @ SV16 @ SY64 )
| ( subpopulation @ efficient_producers @ SV16 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(124,plain,
! [SV17: $i] :
( ( ~ ( environment @ SV17 )
| ( greater_or_equal @ ( critical_point @ SV17 ) @ ( appear @ efficient_producers @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(125,plain,
! [SV18: $i] :
( ( ~ ( environment @ SV18 )
| ( greater_or_equal @ ( critical_point @ SV18 ) @ ( start_time @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(126,plain,
! [SV19: $i] :
( ( ! [SY65: $i] :
( ~ ( greater @ SV19 @ SY65 )
| ! [SY66: $i] :
( ~ ( greater @ SY65 @ SY66 )
| ( greater @ SV19 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(127,plain,
! [SV20: $i] :
( ( ~ ( environment @ SV20 )
| ! [SY67: $i] :
( ~ ( greater @ SY67 @ ( start_time @ SV20 ) )
| ( greater @ SY67 @ ( end_time @ SV20 ) )
| ( greater_or_equal @ ( end_time @ SV20 ) @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(128,plain,
! [SV21: $i] :
( ( ! [SY68: $i] :
( ~ ( greater_or_equal @ SV21 @ SY68 )
| ( SV21 = SY68 )
| ( greater @ SV21 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(129,plain,
! [SV22: $i] :
( ( ! [SY69: $i] :
( ~ ( greater @ SV22 @ SY69 )
| ( greater_or_equal @ SV22 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(130,plain,
! [SV23: $i] :
( ( ! [SY70: $i] :
( ( SV23 != SY70 )
| ( greater_or_equal @ SV23 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(131,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(132,plain,
! [SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ! [SY47: $i] :
( ( SY47
!= ( critical_point @ SV1 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SY47 ) @ ( growth_rate @ first_movers @ SY47 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(133,plain,
! [SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ! [SY48: $i] :
( ( SY48
!= ( critical_point @ SV2 ) )
| ! [SY49: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY49 )
| ~ ( greater @ SY49 @ SY48 )
| ( greater @ ( growth_rate @ efficient_producers @ SY49 ) @ ( growth_rate @ first_movers @ SY49 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(134,plain,
! [SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ! [SY50: $i] :
( ~ ( in_environment @ SV3 @ SY50 )
| ~ ( greater_or_equal @ SY50 @ ( appear @ efficient_producers @ SV3 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY50 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(135,plain,
! [SV24: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ! [SY71: $i,SY72: $i] :
( ~ ( subpopulations @ SV24 @ SY71 @ SV4 @ SY72 )
| ~ ( greater @ ( growth_rate @ SY71 @ SY72 ) @ ( growth_rate @ SV24 @ SY72 ) )
| ( selection_favors @ SY71 @ SV24 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(136,plain,
! [SV25: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ! [SY73: $i] :
( ~ ( subpopulation @ SV25 @ SV5 @ SY73 )
| ! [SY74: $i] :
( ~ ( subpopulation @ SY74 @ SV5 @ SY73 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SY73 ) @ zero )
| ( ( cardinality_at_time @ SY74 @ SY73 )
!= zero )
| ( selection_favors @ SV25 @ SY74 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(137,plain,
! [SV6: $i] :
( ( ( ~ ( observational_period @ SV6 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(138,plain,
! [SV7: $i] :
( ( ( ~ ( observational_period @ SV7 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(139,plain,
! [SV8: $i] :
( ( ( ~ ( observational_period @ SV8 ) )
= $true )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(140,plain,
! [SV9: $i] :
( ( ( ~ ( observational_period @ SV9 ) )
= $true )
| ( ( ~ ( slow_change @ SV9 )
| ! [SY57: $i] :
( ~ ( environment @ SY57 )
| ~ ( in_environment @ SV9 @ SY57 )
| ( in_environment @ SY57 @ ( sk2 @ SY57 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(141,plain,
! [SV10: $i] :
( ( ( ~ ( observational_period @ SV10 ) )
= $true )
| ( ( ~ ( slow_change @ SV10 )
| ! [SY58: $i] :
( ~ ( environment @ SY58 )
| ~ ( in_environment @ SV10 @ SY58 )
| ( greater @ ( sk2 @ SY58 @ SV10 ) @ ( critical_point @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(142,plain,
! [SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( greater_or_equal @ SY59 @ ( start_time @ SV11 ) )
| ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SY59 )
| ( in_environment @ SV11 @ SY59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV12: $i] :
( ( ( ~ ( environment @ SV12 ) )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( in_environment @ SV12 @ SY60 )
| ( greater_or_equal @ ( end_time @ SV12 ) @ SY60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(144,plain,
! [SV13: $i] :
( ( ( ~ ( environment @ SV13 ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( in_environment @ SV13 @ SY61 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SY61 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY61 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(145,plain,
! [SV14: $i] :
( ( ( ~ ( environment @ SV14 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( in_environment @ SV14 @ SY62 )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SY62 ) @ zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(146,plain,
! [SV15: $i] :
( ( ( ~ ( environment @ SV15 ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( in_environment @ SV15 @ SY63 )
| ( subpopulation @ first_movers @ SV15 @ SY63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(147,plain,
! [SV16: $i] :
( ( ( ~ ( environment @ SV16 ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( in_environment @ SV16 @ SY64 )
| ( subpopulation @ efficient_producers @ SV16 @ SY64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV17: $i] :
( ( ( ~ ( environment @ SV17 ) )
= $true )
| ( ( greater_or_equal @ ( critical_point @ SV17 ) @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV18: $i] :
( ( ( ~ ( environment @ SV18 ) )
= $true )
| ( ( greater_or_equal @ ( critical_point @ SV18 ) @ ( start_time @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(150,plain,
! [SV26: $i,SV19: $i] :
( ( ~ ( greater @ SV19 @ SV26 )
| ! [SY75: $i] :
( ~ ( greater @ SV26 @ SY75 )
| ( greater @ SV19 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(151,plain,
! [SV20: $i] :
( ( ( ~ ( environment @ SV20 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( greater @ SY67 @ ( start_time @ SV20 ) )
| ( greater @ SY67 @ ( end_time @ SV20 ) )
| ( greater_or_equal @ ( end_time @ SV20 ) @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(152,plain,
! [SV27: $i,SV21: $i] :
( ( ~ ( greater_or_equal @ SV21 @ SV27 )
| ( SV21 = SV27 )
| ( greater @ SV21 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(153,plain,
! [SV28: $i,SV22: $i] :
( ( ~ ( greater @ SV22 @ SV28 )
| ( greater_or_equal @ SV22 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(154,plain,
! [SV29: $i,SV23: $i] :
( ( ( SV23 != SV29 )
| ( greater_or_equal @ SV23 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ! [SY47: $i] :
( ( SY47
!= ( critical_point @ SV1 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SY47 ) @ ( growth_rate @ first_movers @ SY47 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ! [SY48: $i] :
( ( SY48
!= ( critical_point @ SV2 ) )
| ! [SY49: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY49 )
| ~ ( greater @ SY49 @ SY48 )
| ( greater @ ( growth_rate @ efficient_producers @ SY49 ) @ ( growth_rate @ first_movers @ SY49 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(157,plain,
! [SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ! [SY50: $i] :
( ~ ( in_environment @ SV3 @ SY50 )
| ~ ( greater_or_equal @ SY50 @ ( appear @ efficient_producers @ SV3 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY50 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(158,plain,
! [SV24: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ! [SY71: $i,SY72: $i] :
( ~ ( subpopulations @ SV24 @ SY71 @ SV4 @ SY72 )
| ~ ( greater @ ( growth_rate @ SY71 @ SY72 ) @ ( growth_rate @ SV24 @ SY72 ) )
| ( selection_favors @ SY71 @ SV24 @ SY72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(159,plain,
! [SV25: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ! [SY73: $i] :
( ~ ( subpopulation @ SV25 @ SV5 @ SY73 )
| ! [SY74: $i] :
( ~ ( subpopulation @ SY74 @ SV5 @ SY73 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SY73 ) @ zero )
| ( ( cardinality_at_time @ SY74 @ SY73 )
!= zero )
| ( selection_favors @ SV25 @ SY74 @ SY73 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(160,plain,
! [SV6: $i] :
( ( ( observational_period @ SV6 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(161,plain,
! [SV7: $i] :
( ( ( observational_period @ SV7 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(162,plain,
! [SV8: $i] :
( ( ( observational_period @ SV8 )
= $false )
| ( ( ~ ( propagation_strategy @ first_movers )
| ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(163,plain,
! [SV9: $i] :
( ( ( observational_period @ SV9 )
= $false )
| ( ( ~ ( slow_change @ SV9 )
| ! [SY57: $i] :
( ~ ( environment @ SY57 )
| ~ ( in_environment @ SV9 @ SY57 )
| ( in_environment @ SY57 @ ( sk2 @ SY57 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(164,plain,
! [SV10: $i] :
( ( ( observational_period @ SV10 )
= $false )
| ( ( ~ ( slow_change @ SV10 )
| ! [SY58: $i] :
( ~ ( environment @ SY58 )
| ~ ( in_environment @ SV10 @ SY58 )
| ( greater @ ( sk2 @ SY58 @ SV10 ) @ ( critical_point @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(165,plain,
! [SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( greater_or_equal @ SY59 @ ( start_time @ SV11 ) )
| ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SY59 )
| ( in_environment @ SV11 @ SY59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(166,plain,
! [SV12: $i] :
( ( ( environment @ SV12 )
= $false )
| ( ( ! [SY60: $i] :
( ~ ( in_environment @ SV12 @ SY60 )
| ( greater_or_equal @ ( end_time @ SV12 ) @ SY60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(167,plain,
! [SV13: $i] :
( ( ( environment @ SV13 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( in_environment @ SV13 @ SY61 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SY61 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SY61 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(168,plain,
! [SV14: $i] :
( ( ( environment @ SV14 )
= $false )
| ( ( ! [SY62: $i] :
( ~ ( in_environment @ SV14 @ SY62 )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SY62 ) @ zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(169,plain,
! [SV15: $i] :
( ( ( environment @ SV15 )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( in_environment @ SV15 @ SY63 )
| ( subpopulation @ first_movers @ SV15 @ SY63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV16: $i] :
( ( ( environment @ SV16 )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( in_environment @ SV16 @ SY64 )
| ( subpopulation @ efficient_producers @ SV16 @ SY64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(171,plain,
! [SV17: $i] :
( ( ( environment @ SV17 )
= $false )
| ( ( greater_or_equal @ ( critical_point @ SV17 ) @ ( appear @ efficient_producers @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(172,plain,
! [SV18: $i] :
( ( ( environment @ SV18 )
= $false )
| ( ( greater_or_equal @ ( critical_point @ SV18 ) @ ( start_time @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(173,plain,
! [SV26: $i,SV19: $i] :
( ( ( ~ ( greater @ SV19 @ SV26 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( greater @ SV26 @ SY75 )
| ( greater @ SV19 @ SY75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(174,plain,
! [SV20: $i] :
( ( ( environment @ SV20 )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( greater @ SY67 @ ( start_time @ SV20 ) )
| ( greater @ SY67 @ ( end_time @ SV20 ) )
| ( greater_or_equal @ ( end_time @ SV20 ) @ SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(175,plain,
! [SV27: $i,SV21: $i] :
( ( ( ~ ( greater_or_equal @ SV21 @ SV27 ) )
= $true )
| ( ( ( SV21 = SV27 )
| ( greater @ SV21 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(176,plain,
! [SV28: $i,SV22: $i] :
( ( ( ~ ( greater @ SV22 @ SV28 ) )
= $true )
| ( ( greater_or_equal @ SV22 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(177,plain,
! [SV29: $i,SV23: $i] :
( ( ( ( SV23 != SV29 ) )
= $true )
| ( ( greater_or_equal @ SV23 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(178,plain,
! [SV1: $i,SV30: $i] :
( ( ( ( SV30
!= ( critical_point @ SV1 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV2: $i,SV31: $i] :
( ( ( ( SV31
!= ( critical_point @ SV2 ) )
| ! [SY76: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY76 )
| ~ ( greater @ SY76 @ SV31 )
| ( greater @ ( growth_rate @ efficient_producers @ SY76 ) @ ( growth_rate @ first_movers @ SY76 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(180,plain,
! [SV32: $i,SV3: $i] :
( ( ( ~ ( in_environment @ SV3 @ SV32 )
| ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV3 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(181,plain,
! [SV24: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ! [SY71: $i,SY72: $i] :
( ~ ( subpopulations @ SV24 @ SY71 @ SV4 @ SY72 )
| ~ ( greater @ ( growth_rate @ SY71 @ SY72 ) @ ( growth_rate @ SV24 @ SY72 ) )
| ( selection_favors @ SY71 @ SV24 @ SY72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(182,plain,
! [SV25: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ! [SY73: $i] :
( ~ ( subpopulation @ SV25 @ SV5 @ SY73 )
| ! [SY74: $i] :
( ~ ( subpopulation @ SY74 @ SV5 @ SY73 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SY73 ) @ zero )
| ( ( cardinality_at_time @ SY74 @ SY73 )
!= zero )
| ( selection_favors @ SV25 @ SY74 @ SY73 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(183,plain,
! [SV6: $i] :
( ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(184,plain,
! [SV7: $i] :
( ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true )
| ( ( observational_period @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(185,plain,
! [SV8: $i] :
( ( ( ~ ( propagation_strategy @ first_movers ) )
= $true )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true )
| ( ( observational_period @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(186,plain,
! [SV9: $i] :
( ( ( ~ ( slow_change @ SV9 ) )
= $true )
| ( ( ! [SY57: $i] :
( ~ ( environment @ SY57 )
| ~ ( in_environment @ SV9 @ SY57 )
| ( in_environment @ SY57 @ ( sk2 @ SY57 @ SV9 ) ) ) )
= $true )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(187,plain,
! [SV10: $i] :
( ( ( ~ ( slow_change @ SV10 ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( environment @ SY58 )
| ~ ( in_environment @ SV10 @ SY58 )
| ( greater @ ( sk2 @ SY58 @ SV10 ) @ ( critical_point @ SY58 ) ) ) )
= $true )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(188,plain,
! [SV11: $i,SV33: $i] :
( ( ( ~ ( greater_or_equal @ SV33 @ ( start_time @ SV11 ) )
| ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SV33 )
| ( in_environment @ SV11 @ SV33 ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV34: $i,SV12: $i] :
( ( ( ~ ( in_environment @ SV12 @ SV34 )
| ( greater_or_equal @ ( end_time @ SV12 ) @ SV34 ) )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(190,plain,
! [SV35: $i,SV13: $i] :
( ( ( ~ ( in_environment @ SV13 @ SV35 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(191,plain,
! [SV36: $i,SV14: $i] :
( ( ( ~ ( in_environment @ SV14 @ SV36 )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SV36 ) @ zero ) )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(192,plain,
! [SV37: $i,SV15: $i] :
( ( ( ~ ( in_environment @ SV15 @ SV37 )
| ( subpopulation @ first_movers @ SV15 @ SV37 ) )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(193,plain,
! [SV38: $i,SV16: $i] :
( ( ( ~ ( in_environment @ SV16 @ SV38 )
| ( subpopulation @ efficient_producers @ SV16 @ SV38 ) )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(194,plain,
! [SV26: $i,SV19: $i] :
( ( ( greater @ SV19 @ SV26 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( greater @ SV26 @ SY75 )
| ( greater @ SV19 @ SY75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(195,plain,
! [SV20: $i,SV39: $i] :
( ( ( ~ ( greater @ SV39 @ ( start_time @ SV20 ) )
| ( greater @ SV39 @ ( end_time @ SV20 ) )
| ( greater_or_equal @ ( end_time @ SV20 ) @ SV39 ) )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(196,plain,
! [SV27: $i,SV21: $i] :
( ( ( greater_or_equal @ SV21 @ SV27 )
= $false )
| ( ( ( SV21 = SV27 )
| ( greater @ SV21 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(197,plain,
! [SV28: $i,SV22: $i] :
( ( ( greater @ SV22 @ SV28 )
= $false )
| ( ( greater_or_equal @ SV22 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(198,plain,
! [SV29: $i,SV23: $i] :
( ( ( SV23 = SV29 )
= $false )
| ( ( greater_or_equal @ SV23 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(199,plain,
! [SV1: $i,SV30: $i] :
( ( ( ( SV30
!= ( critical_point @ SV1 ) ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(200,plain,
! [SV2: $i,SV31: $i] :
( ( ( ( SV31
!= ( critical_point @ SV2 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY76 )
| ~ ( greater @ SY76 @ SV31 )
| ( greater @ ( growth_rate @ efficient_producers @ SY76 ) @ ( growth_rate @ first_movers @ SY76 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(201,plain,
! [SV32: $i,SV3: $i] :
( ( ( ~ ( in_environment @ SV3 @ SV32 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV3 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(202,plain,
! [SV4: $i,SV40: $i,SV24: $i] :
( ( ( ! [SY77: $i] :
( ~ ( subpopulations @ SV24 @ SV40 @ SV4 @ SY77 )
| ~ ( greater @ ( growth_rate @ SV40 @ SY77 ) @ ( growth_rate @ SV24 @ SY77 ) )
| ( selection_favors @ SV40 @ SV24 @ SY77 ) ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(203,plain,
! [SV41: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( subpopulation @ SV25 @ SV5 @ SV41 )
| ! [SY78: $i] :
( ~ ( subpopulation @ SY78 @ SV5 @ SV41 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
| ( ( cardinality_at_time @ SY78 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SY78 @ SV41 ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(204,plain,
! [SV6: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(205,plain,
! [SV7: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true )
| ( ( observational_period @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(206,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ first_movers )
= $false )
| ( ( ~ ( propagation_strategy @ efficient_producers )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true )
| ( ( observational_period @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(207,plain,
! [SV9: $i] :
( ( ( slow_change @ SV9 )
= $false )
| ( ( ! [SY57: $i] :
( ~ ( environment @ SY57 )
| ~ ( in_environment @ SV9 @ SY57 )
| ( in_environment @ SY57 @ ( sk2 @ SY57 @ SV9 ) ) ) )
= $true )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(208,plain,
! [SV10: $i] :
( ( ( slow_change @ SV10 )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( environment @ SY58 )
| ~ ( in_environment @ SV10 @ SY58 )
| ( greater @ ( sk2 @ SY58 @ SV10 ) @ ( critical_point @ SY58 ) ) ) )
= $true )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(209,plain,
! [SV11: $i,SV33: $i] :
( ( ( ~ ( greater_or_equal @ SV33 @ ( start_time @ SV11 ) ) )
= $true )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SV33 )
| ( in_environment @ SV11 @ SV33 ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(210,plain,
! [SV34: $i,SV12: $i] :
( ( ( ~ ( in_environment @ SV12 @ SV34 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV12 ) @ SV34 )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(211,plain,
! [SV35: $i,SV13: $i] :
( ( ( ~ ( in_environment @ SV13 @ SV35 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(212,plain,
! [SV36: $i,SV14: $i] :
( ( ( ~ ( in_environment @ SV14 @ SV36 ) )
= $true )
| ( ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SV36 ) @ zero )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV37: $i,SV15: $i] :
( ( ( ~ ( in_environment @ SV15 @ SV37 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV15 @ SV37 )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(214,plain,
! [SV38: $i,SV16: $i] :
( ( ( ~ ( in_environment @ SV16 @ SV38 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV16 @ SV38 )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV19: $i,SV42: $i,SV26: $i] :
( ( ( ~ ( greater @ SV26 @ SV42 )
| ( greater @ SV19 @ SV42 ) )
= $true )
| ( ( greater @ SV19 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV20: $i,SV39: $i] :
( ( ( ~ ( greater @ SV39 @ ( start_time @ SV20 ) ) )
= $true )
| ( ( ( greater @ SV39 @ ( end_time @ SV20 ) )
| ( greater_or_equal @ ( end_time @ SV20 ) @ SV39 ) )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV27: $i,SV21: $i] :
( ( ( SV21 = SV27 )
= $true )
| ( ( greater @ SV21 @ SV27 )
= $true )
| ( ( greater_or_equal @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV1: $i,SV30: $i] :
( ( ( SV30
= ( critical_point @ SV1 ) )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) ) )
= $true )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(219,plain,
! [SV2: $i,SV31: $i] :
( ( ( SV31
= ( critical_point @ SV2 ) )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY76 )
| ~ ( greater @ SY76 @ SV31 )
| ( greater @ ( growth_rate @ efficient_producers @ SY76 ) @ ( growth_rate @ first_movers @ SY76 ) ) ) )
= $true )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(220,plain,
! [SV32: $i,SV3: $i] :
( ( ( in_environment @ SV3 @ SV32 )
= $false )
| ( ( ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV3 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV32 ) @ zero ) )
= $true )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(221,plain,
! [SV43: $i,SV4: $i,SV40: $i,SV24: $i] :
( ( ( ~ ( subpopulations @ SV24 @ SV40 @ SV4 @ SV43 )
| ~ ( greater @ ( growth_rate @ SV40 @ SV43 ) @ ( growth_rate @ SV24 @ SV43 ) )
| ( selection_favors @ SV40 @ SV24 @ SV43 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(222,plain,
! [SV41: $i,SV5: $i,SV25: $i] :
( ( ( ~ ( subpopulation @ SV25 @ SV5 @ SV41 ) )
= $true )
| ( ( ! [SY78: $i] :
( ~ ( subpopulation @ SY78 @ SV5 @ SV41 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
| ( ( cardinality_at_time @ SY78 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SY78 @ SV41 ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(223,plain,
! [SV6: $i] :
( ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(224,plain,
! [SV7: $i] :
( ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(225,plain,
! [SV8: $i] :
( ( ( ~ ( propagation_strategy @ efficient_producers ) )
= $true )
| ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(226,plain,
! [SV9: $i,SV44: $i] :
( ( ( ~ ( environment @ SV44 )
| ~ ( in_environment @ SV9 @ SV44 )
| ( in_environment @ SV44 @ ( sk2 @ SV44 @ SV9 ) ) )
= $true )
| ( ( slow_change @ SV9 )
= $false )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(227,plain,
! [SV10: $i,SV45: $i] :
( ( ( ~ ( environment @ SV45 )
| ~ ( in_environment @ SV10 @ SV45 )
| ( greater @ ( sk2 @ SV45 @ SV10 ) @ ( critical_point @ SV45 ) ) )
= $true )
| ( ( slow_change @ SV10 )
= $false )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(228,plain,
! [SV11: $i,SV33: $i] :
( ( ( greater_or_equal @ SV33 @ ( start_time @ SV11 ) )
= $false )
| ( ( ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SV33 )
| ( in_environment @ SV11 @ SV33 ) )
= $true )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(229,plain,
! [SV34: $i,SV12: $i] :
( ( ( in_environment @ SV12 @ SV34 )
= $false )
| ( ( greater_or_equal @ ( end_time @ SV12 ) @ SV34 )
= $true )
| ( ( environment @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(230,plain,
! [SV35: $i,SV13: $i] :
( ( ( in_environment @ SV13 @ SV35 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 ) )
= $true )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(231,plain,
! [SV36: $i,SV14: $i] :
( ( ( in_environment @ SV14 @ SV36 )
= $false )
| ( ( greater_or_equal @ ( cardinality_at_time @ first_movers @ SV36 ) @ zero )
= $true )
| ( ( environment @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(232,plain,
! [SV37: $i,SV15: $i] :
( ( ( in_environment @ SV15 @ SV37 )
= $false )
| ( ( subpopulation @ first_movers @ SV15 @ SV37 )
= $true )
| ( ( environment @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(233,plain,
! [SV38: $i,SV16: $i] :
( ( ( in_environment @ SV16 @ SV38 )
= $false )
| ( ( subpopulation @ efficient_producers @ SV16 @ SV38 )
= $true )
| ( ( environment @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(234,plain,
! [SV19: $i,SV42: $i,SV26: $i] :
( ( ( ~ ( greater @ SV26 @ SV42 ) )
= $true )
| ( ( greater @ SV19 @ SV42 )
= $true )
| ( ( greater @ SV19 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV20: $i,SV39: $i] :
( ( ( greater @ SV39 @ ( start_time @ SV20 ) )
= $false )
| ( ( ( greater @ SV39 @ ( end_time @ SV20 ) )
| ( greater_or_equal @ ( end_time @ SV20 ) @ SV39 ) )
= $true )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(236,plain,
! [SV1: $i,SV30: $i] :
( ( ( greater @ ( growth_rate @ efficient_producers @ SV30 ) @ ( growth_rate @ first_movers @ SV30 ) )
= $false )
| ( ( SV30
= ( critical_point @ SV1 ) )
= $false )
| ( ( environment @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(237,plain,
! [SV31: $i,SV46: $i,SV2: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV46 )
| ~ ( greater @ SV46 @ SV31 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( SV31
= ( critical_point @ SV2 ) )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(238,plain,
! [SV3: $i,SV32: $i] :
( ( ( ~ ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV3 ) ) )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV32 ) @ zero )
= $true )
| ( ( in_environment @ SV3 @ SV32 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(239,plain,
! [SV43: $i,SV4: $i,SV40: $i,SV24: $i] :
( ( ( ~ ( subpopulations @ SV24 @ SV40 @ SV4 @ SV43 ) )
= $true )
| ( ( ~ ( greater @ ( growth_rate @ SV40 @ SV43 ) @ ( growth_rate @ SV24 @ SV43 ) )
| ( selection_favors @ SV40 @ SV24 @ SV43 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(240,plain,
! [SV41: $i,SV5: $i,SV25: $i] :
( ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( ! [SY78: $i] :
( ~ ( subpopulation @ SY78 @ SV5 @ SV41 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
| ( ( cardinality_at_time @ SY78 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SY78 @ SV41 ) ) )
= $true )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(241,plain,
! [SV6: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( ( environment @ ( sk1 @ SV6 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV6 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(242,plain,
! [SV7: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV7 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(243,plain,
! [SV8: $i] :
( ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ SV8 ) )
= $true )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(244,plain,
! [SV9: $i,SV44: $i] :
( ( ( ~ ( environment @ SV44 ) )
= $true )
| ( ( ~ ( in_environment @ SV9 @ SV44 )
| ( in_environment @ SV44 @ ( sk2 @ SV44 @ SV9 ) ) )
= $true )
| ( ( slow_change @ SV9 )
= $false )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(245,plain,
! [SV10: $i,SV45: $i] :
( ( ( ~ ( environment @ SV45 ) )
= $true )
| ( ( ~ ( in_environment @ SV10 @ SV45 )
| ( greater @ ( sk2 @ SV45 @ SV10 ) @ ( critical_point @ SV45 ) ) )
= $true )
| ( ( slow_change @ SV10 )
= $false )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(246,plain,
! [SV33: $i,SV11: $i] :
( ( ( ~ ( greater_or_equal @ ( end_time @ SV11 ) @ SV33 ) )
= $true )
| ( ( in_environment @ SV11 @ SV33 )
= $true )
| ( ( greater_or_equal @ SV33 @ ( start_time @ SV11 ) )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(247,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 ) )
= $true )
| ( ( in_environment @ SV13 @ SV35 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(248,plain,
! [SV19: $i,SV42: $i,SV26: $i] :
( ( ( greater @ SV26 @ SV42 )
= $false )
| ( ( greater @ SV19 @ SV42 )
= $true )
| ( ( greater @ SV19 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(249,plain,
! [SV20: $i,SV39: $i] :
( ( ( greater @ SV39 @ ( end_time @ SV20 ) )
= $true )
| ( ( greater_or_equal @ ( end_time @ SV20 ) @ SV39 )
= $true )
| ( ( greater @ SV39 @ ( start_time @ SV20 ) )
= $false )
| ( ( environment @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(250,plain,
! [SV31: $i,SV46: $i,SV2: $i] :
( ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV46 ) )
= $true )
| ( ( ~ ( greater @ SV46 @ SV31 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( SV31
= ( critical_point @ SV2 ) )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(251,plain,
! [SV3: $i,SV32: $i] :
( ( ( greater_or_equal @ SV32 @ ( appear @ efficient_producers @ SV3 ) )
= $false )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV32 ) @ zero )
= $true )
| ( ( in_environment @ SV3 @ SV32 )
= $false )
| ( ( environment @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(252,plain,
! [SV43: $i,SV4: $i,SV40: $i,SV24: $i] :
( ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV43 )
= $false )
| ( ( ~ ( greater @ ( growth_rate @ SV40 @ SV43 ) @ ( growth_rate @ SV24 @ SV43 ) )
| ( selection_favors @ SV40 @ SV24 @ SV43 ) )
= $true )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(253,plain,
! [SV25: $i,SV41: $i,SV5: $i,SV47: $i] :
( ( ( ~ ( subpopulation @ SV47 @ SV5 @ SV41 )
| ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
| ( ( cardinality_at_time @ SV47 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SV47 @ SV41 ) )
= $true )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(254,plain,
! [SV6: $i] :
( ( ( environment @ ( sk1 @ SV6 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV6 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(255,plain,
! [SV7: $i] :
( ( ( in_environment @ SV7 @ ( sk1 @ SV7 ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV7 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(256,plain,
! [SV8: $i] :
( ( ( ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) ) )
= $true )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(257,plain,
! [SV9: $i,SV44: $i] :
( ( ( environment @ SV44 )
= $false )
| ( ( ~ ( in_environment @ SV9 @ SV44 )
| ( in_environment @ SV44 @ ( sk2 @ SV44 @ SV9 ) ) )
= $true )
| ( ( slow_change @ SV9 )
= $false )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(258,plain,
! [SV10: $i,SV45: $i] :
( ( ( environment @ SV45 )
= $false )
| ( ( ~ ( in_environment @ SV10 @ SV45 )
| ( greater @ ( sk2 @ SV45 @ SV10 ) @ ( critical_point @ SV45 ) ) )
= $true )
| ( ( slow_change @ SV10 )
= $false )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(259,plain,
! [SV33: $i,SV11: $i] :
( ( ( greater_or_equal @ ( end_time @ SV11 ) @ SV33 )
= $false )
| ( ( in_environment @ SV11 @ SV33 )
= $true )
| ( ( greater_or_equal @ SV33 @ ( start_time @ SV11 ) )
= $false )
| ( ( environment @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(260,plain,
! [SV13: $i,SV35: $i] :
( ( ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 ) )
= $true )
| ( ( in_environment @ SV13 @ SV35 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(261,plain,
! [SV31: $i,SV46: $i,SV2: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV46 )
= $false )
| ( ( ~ ( greater @ SV46 @ SV31 )
| ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) ) )
= $true )
| ( ( SV31
= ( critical_point @ SV2 ) )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(262,plain,
! [SV4: $i,SV24: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( greater @ ( growth_rate @ SV40 @ SV43 ) @ ( growth_rate @ SV24 @ SV43 ) ) )
= $true )
| ( ( selection_favors @ SV40 @ SV24 @ SV43 )
= $true )
| ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV43 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(263,plain,
! [SV25: $i,SV41: $i,SV5: $i,SV47: $i] :
( ( ( ~ ( subpopulation @ SV47 @ SV5 @ SV41 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
| ( ( cardinality_at_time @ SV47 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SV47 @ SV41 ) )
= $true )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(264,plain,
! [SV8: $i] :
( ( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk1 @ SV8 ) ) )
= $false )
| ( ( selection_favors @ efficient_producers @ first_movers @ SV8 )
= $true )
| ( ( propagation_strategy @ efficient_producers )
= $false )
| ( ( propagation_strategy @ first_movers )
= $false )
| ( ( observational_period @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(265,plain,
! [SV44: $i,SV9: $i] :
( ( ( ~ ( in_environment @ SV9 @ SV44 ) )
= $true )
| ( ( in_environment @ SV44 @ ( sk2 @ SV44 @ SV9 ) )
= $true )
| ( ( environment @ SV44 )
= $false )
| ( ( slow_change @ SV9 )
= $false )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(266,plain,
! [SV45: $i,SV10: $i] :
( ( ( ~ ( in_environment @ SV10 @ SV45 ) )
= $true )
| ( ( greater @ ( sk2 @ SV45 @ SV10 ) @ ( critical_point @ SV45 ) )
= $true )
| ( ( environment @ SV45 )
= $false )
| ( ( slow_change @ SV10 )
= $false )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(267,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero )
= $false )
| ( ( in_environment @ SV13 @ SV35 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(268,plain,
! [SV2: $i,SV31: $i,SV46: $i] :
( ( ( ~ ( greater @ SV46 @ SV31 ) )
= $true )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV46 )
= $false )
| ( ( SV31
= ( critical_point @ SV2 ) )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(269,plain,
! [SV4: $i,SV24: $i,SV43: $i,SV40: $i] :
( ( ( greater @ ( growth_rate @ SV40 @ SV43 ) @ ( growth_rate @ SV24 @ SV43 ) )
= $false )
| ( ( selection_favors @ SV40 @ SV24 @ SV43 )
= $true )
| ( ( subpopulations @ SV24 @ SV40 @ SV4 @ SV43 )
= $false )
| ( ( environment @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(270,plain,
! [SV25: $i,SV41: $i,SV5: $i,SV47: $i] :
( ( ( subpopulation @ SV47 @ SV5 @ SV41 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
| ( ( cardinality_at_time @ SV47 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SV47 @ SV41 ) )
= $true )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV44: $i,SV9: $i] :
( ( ( in_environment @ SV9 @ SV44 )
= $false )
| ( ( in_environment @ SV44 @ ( sk2 @ SV44 @ SV9 ) )
= $true )
| ( ( environment @ SV44 )
= $false )
| ( ( slow_change @ SV9 )
= $false )
| ( ( observational_period @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(272,plain,
! [SV45: $i,SV10: $i] :
( ( ( in_environment @ SV10 @ SV45 )
= $false )
| ( ( greater @ ( sk2 @ SV45 @ SV10 ) @ ( critical_point @ SV45 ) )
= $true )
| ( ( environment @ SV45 )
= $false )
| ( ( slow_change @ SV10 )
= $false )
| ( ( observational_period @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(273,plain,
! [SV13: $i,SV35: $i] :
( ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV35 ) @ zero )
= $false )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV13 @ SV35 )
= $true )
| ( ( greater @ ( cardinality_at_time @ first_movers @ SV35 ) @ zero )
= $false )
| ( ( in_environment @ SV13 @ SV35 )
= $false )
| ( ( environment @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(274,plain,
! [SV2: $i,SV31: $i,SV46: $i] :
( ( ( greater @ SV46 @ SV31 )
= $false )
| ( ( greater @ ( growth_rate @ efficient_producers @ SV46 ) @ ( growth_rate @ first_movers @ SV46 ) )
= $true )
| ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV46 )
= $false )
| ( ( SV31
= ( critical_point @ SV2 ) )
= $false )
| ( ( environment @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(275,plain,
! [SV5: $i,SV47: $i,SV41: $i,SV25: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero ) )
= $true )
| ( ( ( ( cardinality_at_time @ SV47 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SV47 @ SV41 ) )
= $true )
| ( ( subpopulation @ SV47 @ SV5 @ SV41 )
= $false )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(276,plain,
! [SV5: $i,SV47: $i,SV41: $i,SV25: $i] :
( ( ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
= $false )
| ( ( ( ( cardinality_at_time @ SV47 @ SV41 )
!= zero )
| ( selection_favors @ SV25 @ SV47 @ SV41 ) )
= $true )
| ( ( subpopulation @ SV47 @ SV5 @ SV41 )
= $false )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(277,plain,
! [SV5: $i,SV25: $i,SV41: $i,SV47: $i] :
( ( ( ( ( cardinality_at_time @ SV47 @ SV41 )
!= zero ) )
= $true )
| ( ( selection_favors @ SV25 @ SV47 @ SV41 )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
= $false )
| ( ( subpopulation @ SV47 @ SV5 @ SV41 )
= $false )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(278,plain,
! [SV5: $i,SV25: $i,SV41: $i,SV47: $i] :
( ( ( ( cardinality_at_time @ SV47 @ SV41 )
= zero )
= $false )
| ( ( selection_favors @ SV25 @ SV47 @ SV41 )
= $true )
| ( ( greater @ ( cardinality_at_time @ SV25 @ SV41 ) @ zero )
= $false )
| ( ( subpopulation @ SV47 @ SV5 @ SV41 )
= $false )
| ( ( subpopulation @ SV25 @ SV5 @ SV41 )
= $false )
| ( ( environment @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(279,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[78,278,274,273,272,271,269,264,259,255,254,251,249,248,236,233,232,231,229,217,198,197,172,171,131,107,92,91,79]) ).
thf(280,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 07:44:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 28
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.38 .
% 0.12/0.39 (rf:0,axioms:28,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:30,loop_count:0,foatp_calls:0,translation:fof_full)............
% 26.35/26.57
% 26.35/26.57 ********************************
% 26.35/26.57 * All subproblems solved! *
% 26.35/26.57 ********************************
% 26.35/26.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:28,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:279,loop_count:0,foatp_calls:1,translation:fof_full)
% 26.43/26.61
% 26.43/26.61 %**** Beginning of derivation protocol ****
% 26.43/26.61 % SZS output start CNFRefutation
% See solution above
% 26.43/26.61
% 26.43/26.61 %**** End of derivation protocol ****
% 26.43/26.61 %**** no. of clauses in derivation: 280 ****
% 26.43/26.61 %**** clause counter: 279 ****
% 26.43/26.61
% 26.43/26.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:28,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:279,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------