%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 10:31:36 AM UTC 2026
% Result : Theorem 0.59s 0.35s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 257 ( 117 unt; 0 typ; 0 def)
% Number of atoms : 2255 ( 676 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 4598 ( 701 ~; 755 |; 86 &;3015 @)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 562 ( 0 ^; 558 !; 4 ?; 562 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_an_organisation,type,
an_organisation: $i ).
thf(tp_appear,type,
appear: $i > $i > $i ).
thf(tp_cardinality_at_time,type,
cardinality_at_time: $i > $i > $i ).
thf(tp_constant,type,
constant: $i > $o ).
thf(tp_decreases,type,
decreases: $i > $o ).
thf(tp_efficient_producers,type,
efficient_producers: $i ).
thf(tp_environment,type,
environment: $i > $o ).
thf(tp_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_number_of_organizations,type,
number_of_organizations: $i > $i > $i ).
thf(tp_resilience,type,
resilience: $i > $i ).
thf(tp_resources,type,
resources: $i > $i > $i ).
thf(tp_sK1_E,type,
sK1_E: $i ).
thf(tp_sK2_SY35,type,
sK2_SY35: $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i > $i ).
thf(tp_sK4_To,type,
sK4_To: $i > $i > $i ).
thf(tp_subpopulation,type,
subpopulation: $i > $i > $i > $o ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) )
| ( greater @ ( appear @ an_organisation @ E ) @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_inequality) ).
thf(2,axiom,
! [X: $i] :
( ( constant @ X )
=> ~ ( decreases @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease) ).
thf(3,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( cardinality_at_time @ efficient_producers @ T )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_efficient_producers_exist) ).
thf(4,axiom,
! [S: $i,T: $i] :
( ( ( cardinality_at_time @ S @ T )
= zero )
=> ~ ( greater @ zero @ ( growth_rate @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_empty_not_decreasing) ).
thf(5,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
thf(6,axiom,
! [E: $i,T: $i,X: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( ( number_of_organizations @ E @ T )
= zero )
& ( subpopulation @ X @ E @ T ) )
=> ( ( cardinality_at_time @ X @ T )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_members) ).
thf(7,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
=> ? [X: $i] :
( ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
& ~ ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing) ).
thf(8,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( appear @ an_organisation @ E ) @ T ) )
=> ( ( number_of_organizations @ E @ T )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_start_of_organizations) ).
thf(9,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( ( cardinality_at_time @ efficient_producers @ T )
= zero ) )
=> ? [To: $i] :
( ( greater @ To @ ( appear @ efficient_producers @ E ) )
& ( in_environment @ E @ To )
& ( greater @ T @ To )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ To ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth) ).
thf(10,axiom,
! [E: $i,X: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9) ).
thf(11,axiom,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(12,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12) ).
thf(13,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( number_of_organizations @ E @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6) ).
thf(14,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(15,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( number_of_organizations @ E @ T ) @ zero ) )
=> ( ( ( greater @ ( equilibrium @ E ) @ T )
=> ( decreases @ ( resources @ E @ T ) ) )
& ( ~ ( greater @ ( equilibrium @ E ) @ T )
=> ( constant @ ( resources @ E @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(16,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6) ).
thf(17,negated_conjecture,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) )
= $false ),
inference(unfold_def,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) )
| ( greater @ ( appear @ an_organisation @ E ) @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( constant @ X )
=> ~ ( decreases @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(21,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( cardinality_at_time @ efficient_producers @ T )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [S: $i,T: $i] :
( ( ( cardinality_at_time @ S @ T )
= zero )
=> ~ ( greater @ zero @ ( growth_rate @ S @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(23,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(24,plain,
( ( ! [E: $i,T: $i,X: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( ( number_of_organizations @ E @ T )
= zero )
& ( subpopulation @ X @ E @ T ) )
=> ( ( cardinality_at_time @ X @ T )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(25,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
=> ? [X: $i] :
( ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
& ~ ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(26,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( appear @ an_organisation @ E ) @ T ) )
=> ( ( number_of_organizations @ E @ T )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(27,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( ( cardinality_at_time @ efficient_producers @ T )
= zero ) )
=> ? [To: $i] :
( ( greater @ To @ ( appear @ efficient_producers @ E ) )
& ( in_environment @ E @ To )
& ( greater @ T @ To )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ To ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(28,plain,
( ( ! [E: $i,X: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(29,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(30,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(31,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( number_of_organizations @ E @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(32,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(33,plain,
( ( ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( number_of_organizations @ E @ T ) @ zero ) )
=> ( ( ( greater @ ( equilibrium @ E ) @ T )
=> ( decreases @ ( resources @ E @ T ) ) )
& ( ~ ( greater @ ( equilibrium @ E ) @ T )
=> ( constant @ ( resources @ E @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(34,plain,
( ( ! [SY35: $i] :
( ( ( environment @ sK1_E )
& ( in_environment @ sK1_E @ SY35 )
& ( greater_or_equal @ SY35 @ ( appear @ efficient_producers @ sK1_E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ SY35 ) @ zero ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(35,plain,
( ( ( ( environment @ sK1_E )
& ( in_environment @ sK1_E @ sK2_SY35 )
& ( greater_or_equal @ sK2_SY35 @ ( appear @ efficient_producers @ sK1_E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ sK2_SY35 ) @ zero ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(36,plain,
( ( environment @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[35]) ).
thf(37,plain,
( ( in_environment @ sK1_E @ sK2_SY35 )
= $true ),
inference(standard_cnf,[status(thm)],[35]) ).
thf(38,plain,
( ( greater_or_equal @ sK2_SY35 @ ( appear @ efficient_producers @ sK1_E ) )
= $true ),
inference(standard_cnf,[status(thm)],[35]) ).
thf(39,plain,
( ( greater @ ( cardinality_at_time @ efficient_producers @ sK2_SY35 ) @ zero )
= $false ),
inference(standard_cnf,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ sK2_SY35 ) @ zero ) )
= $true ),
inference(polarity_switch,[status(thm)],[39]) ).
thf(41,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater @ ( appear @ an_organisation @ E ) @ T )
| ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(42,plain,
( ( ! [X: $i] :
( ~ ( constant @ X )
| ~ ( decreases @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(43,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( ( cardinality_at_time @ efficient_producers @ T )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(44,plain,
( ( ! [S: $i,T: $i] :
( ( ( cardinality_at_time @ S @ T )
!= zero )
| ~ ( greater @ zero @ ( growth_rate @ S @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(45,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ first_movers @ E @ T ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ efficient_producers @ E @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(46,plain,
( ( ! [E: $i,T: $i,X: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( ( number_of_organizations @ E @ T )
!= zero )
| ~ ( subpopulation @ X @ E @ T )
| ( ( cardinality_at_time @ X @ T )
= zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(47,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( decreases @ ( number_of_organizations @ E @ T ) )
| ( ( greater @ ( cardinality_at_time @ ( sK3_X @ T @ E ) @ T ) @ zero )
& ( subpopulation @ ( sK3_X @ T @ E ) @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ T @ E ) @ T ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(48,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( appear @ an_organisation @ E ) @ T )
| ( ( number_of_organizations @ E @ T )
= zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(49,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
| ( ( cardinality_at_time @ efficient_producers @ T )
!= zero )
| ( ( greater @ ( sK4_To @ T @ E ) @ ( appear @ efficient_producers @ E ) )
& ( in_environment @ E @ ( sK4_To @ T @ E ) )
& ( greater @ T @ ( sK4_To @ T @ E ) )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ T @ E ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(50,plain,
( ( ! [E: $i,X: $i] :
( ! [T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
| ( X = efficient_producers )
| ( X = first_movers ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(51,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(52,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( decreases @ ( resources @ E @ T ) )
| ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( number_of_organizations @ E @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(53,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) )
| ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(54,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ~ ( greater @ ( equilibrium @ E ) @ T )
| ( decreases @ ( resources @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ( greater @ ( equilibrium @ E ) @ T )
| ( constant @ ( resources @ E @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(55,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ~ ( greater @ ( equilibrium @ E ) @ T )
| ( decreases @ ( resources @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( number_of_organizations @ E @ T ) @ zero )
| ( greater @ ( equilibrium @ E ) @ T )
| ( constant @ ( resources @ E @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(56,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) )
| ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(57,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( decreases @ ( resources @ E @ T ) )
| ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( constant @ ( resources @ E @ T ) )
| ( constant @ ( number_of_organizations @ E @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(58,plain,
( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater @ zero @ ( growth_rate @ S1 @ T ) )
| ~ ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) )
| ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(59,plain,
( ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(60,plain,
( ( ! [E: $i,X: $i] :
( ! [T: $i] :
( ~ ( environment @ E )
| ~ ( subpopulation @ X @ E @ T )
| ~ ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
| ( X = efficient_producers )
| ( X = first_movers ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(61,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
| ( ( cardinality_at_time @ efficient_producers @ T )
!= zero )
| ( ( greater @ ( sK4_To @ T @ E ) @ ( appear @ efficient_producers @ E ) )
& ( in_environment @ E @ ( sK4_To @ T @ E ) )
& ( greater @ T @ ( sK4_To @ T @ E ) )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ T @ E ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(62,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ~ ( greater @ ( appear @ an_organisation @ E ) @ T )
| ( ( number_of_organizations @ E @ T )
= zero ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(63,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( decreases @ ( number_of_organizations @ E @ T ) )
| ( ( greater @ ( cardinality_at_time @ ( sK3_X @ T @ E ) @ T ) @ zero )
& ( subpopulation @ ( sK3_X @ T @ E ) @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ T @ E ) @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(64,plain,
( ( ! [E: $i,T: $i,X: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( ( number_of_organizations @ E @ T )
!= zero )
| ~ ( subpopulation @ X @ E @ T )
| ( ( cardinality_at_time @ X @ T )
= zero ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(65,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ first_movers @ E @ T ) )
& ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( subpopulation @ efficient_producers @ E @ T ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(66,plain,
( ( ! [S: $i,T: $i] :
( ( ( cardinality_at_time @ S @ T )
!= zero )
| ~ ( greater @ zero @ ( growth_rate @ S @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(67,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( ( cardinality_at_time @ efficient_producers @ T )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(68,plain,
( ( ! [X: $i] :
( ~ ( constant @ X )
| ~ ( decreases @ X ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(69,plain,
( ( ! [E: $i,T: $i] :
( ~ ( environment @ E )
| ~ ( in_environment @ E @ T )
| ( greater @ ( appear @ an_organisation @ E ) @ T )
| ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(70,plain,
( ( greater_or_equal @ sK2_SY35 @ ( appear @ efficient_producers @ sK1_E ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(71,plain,
( ( in_environment @ sK1_E @ sK2_SY35 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(72,plain,
( ( environment @ sK1_E )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(73,plain,
( ( ~ ( greater @ ( cardinality_at_time @ efficient_producers @ sK2_SY35 ) @ zero ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(74,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( greater_or_equal @ SX1 @ ( appear @ efficient_producers @ SX0 ) )
| ( ( cardinality_at_time @ efficient_producers @ SX1 )
!= zero )
| ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SX1 @ SX0 ) @ ( appear @ efficient_producers @ SX0 ) )
| ~ ( in_environment @ SX0 @ ( sK4_To @ SX1 @ SX0 ) ) )
| ~ ( greater @ SX1 @ ( sK4_To @ SX1 @ SX0 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(76,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SX1 @ SX0 ) @ SX1 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SX1 @ SX0 ) @ SX0 @ SX1 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SX1 @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(78,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(79,plain,
! [SV1: $i] :
( ( ! [SY36: $i] :
( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SY36 )
| ~ ( greater_or_equal @ SY36 @ ( appear @ an_organisation @ SV1 ) )
| ( greater @ ( number_of_organizations @ SV1 @ SY36 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(80,plain,
! [SV2: $i] :
( ( ! [SY37: $i,SY38: $i,SY39: $i] :
( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SY39 )
| ( greater @ zero @ ( growth_rate @ SY37 @ SY39 ) )
| ~ ( greater @ ( resilience @ SY38 ) @ ( resilience @ SY37 ) )
| ~ ( greater @ zero @ ( growth_rate @ SY38 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(81,plain,
! [SV3: $i] :
( ( ! [SY40: $i] :
( ! [SY41: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulation @ SY40 @ SV3 @ SY41 )
| ~ ( greater @ ( cardinality_at_time @ SY40 @ SY41 ) @ zero ) )
| ( SY40 = efficient_producers )
| ( SY40 = first_movers ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(82,plain,
! [SV4: $i] :
( ( ! [SY42: $i] :
( ~ ( environment @ SV4 )
| ~ ( in_environment @ SV4 @ SY42 )
| ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SY42 )
| ( ( number_of_organizations @ SV4 @ SY42 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(83,plain,
! [SV5: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ SY43 )
| ( ( number_of_organizations @ SV5 @ SY43 )
!= zero )
| ~ ( subpopulation @ SY44 @ SV5 @ SY43 )
| ( ( cardinality_at_time @ SY44 @ SY43 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(84,plain,
! [SV6: $i] :
( ( ! [SY45: $i] :
( ( ( cardinality_at_time @ SV6 @ SY45 )
!= zero )
| ~ ( greater @ zero @ ( growth_rate @ SV6 @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(85,plain,
! [SV7: $i] :
( ( ! [SY46: $i] :
( ~ ( environment @ SV7 )
| ~ ( in_environment @ SV7 @ SY46 )
| ( ( cardinality_at_time @ efficient_producers @ SY46 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SY46 ) @ zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(86,plain,
! [SV8: $i] :
( ( ~ ( constant @ SV8 )
| ~ ( decreases @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(87,plain,
! [SV9: $i] :
( ( ! [SY47: $i] :
( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SY47 )
| ( greater @ ( appear @ an_organisation @ SV9 ) @ SY47 )
| ( greater_or_equal @ SY47 @ ( appear @ an_organisation @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(88,plain,
( ( greater @ ( cardinality_at_time @ efficient_producers @ sK2_SY35 ) @ zero )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(89,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV10: $i] :
( ( ! [SY48: $i] :
( ~ ( environment @ SV10 )
| ~ ( greater_or_equal @ SY48 @ ( appear @ efficient_producers @ SV10 ) )
| ( ( cardinality_at_time @ efficient_producers @ SY48 )
!= zero )
| ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SY48 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SY48 @ SV10 ) ) )
| ~ ( greater @ SY48 @ ( sK4_To @ SY48 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SY48 @ SV10 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(91,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV11: $i] :
( ( ! [SY49: $i] :
( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SY49 )
| ( decreases @ ( number_of_organizations @ SV11 @ SY49 ) )
| ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SY49 @ SV11 ) @ SY49 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SY49 @ SV11 ) @ SV11 @ SY49 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SY49 @ SV11 ) @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(93,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(94,plain,
! [SV12: $i,SV1: $i] :
( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV12 )
| ~ ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) )
| ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV13: $i,SV2: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SY51 )
| ( greater @ zero @ ( growth_rate @ SV13 @ SY51 ) )
| ~ ( greater @ ( resilience @ SY50 ) @ ( resilience @ SV13 ) )
| ~ ( greater @ zero @ ( growth_rate @ SY50 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV14: $i,SV3: $i] :
( ( ! [SY52: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulation @ SV14 @ SV3 @ SY52 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY52 ) @ zero ) )
| ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(97,plain,
! [SV15: $i,SV4: $i] :
( ( ~ ( environment @ SV4 )
| ~ ( in_environment @ SV4 @ SV15 )
| ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 )
| ( ( number_of_organizations @ SV4 @ SV15 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV16: $i,SV5: $i] :
( ( ! [SY53: $i] :
( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
| ~ ( subpopulation @ SY53 @ SV5 @ SV16 )
| ( ( cardinality_at_time @ SY53 @ SV16 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV17: $i,SV6: $i] :
( ( ( ( cardinality_at_time @ SV6 @ SV17 )
!= zero )
| ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV18: $i,SV7: $i] :
( ( ~ ( environment @ SV7 )
| ~ ( in_environment @ SV7 @ SV18 )
| ( ( cardinality_at_time @ efficient_producers @ SV18 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV8: $i] :
( ( ( ~ ( constant @ SV8 ) )
= $true )
| ( ( ~ ( decreases @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(102,plain,
! [SV19: $i,SV9: $i] :
( ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV19 )
| ( greater @ ( appear @ an_organisation @ SV9 ) @ SV19 )
| ( greater_or_equal @ SV19 @ ( appear @ an_organisation @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(103,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(104,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(105,plain,
! [SV20: $i,SV10: $i] :
( ( ~ ( environment @ SV10 )
| ~ ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
| ( ( cardinality_at_time @ efficient_producers @ SV20 )
!= zero )
| ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(106,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(107,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(108,plain,
! [SV21: $i,SV11: $i] :
( ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV21 )
| ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
| ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(109,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(110,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(111,plain,
! [SV12: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV12 )
| ~ ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(112,plain,
! [SV22: $i,SV13: $i,SV2: $i] :
( ( ! [SY54: $i] :
( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SY54 )
| ( greater @ zero @ ( growth_rate @ SV13 @ SY54 ) )
| ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) )
| ~ ( greater @ zero @ ( growth_rate @ SV22 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(113,plain,
! [SV14: $i,SV3: $i] :
( ( ( ! [SY52: $i] :
( ~ ( environment @ SV3 )
| ~ ( subpopulation @ SV14 @ SV3 @ SY52 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SY52 ) @ zero ) ) )
= $true )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(114,plain,
! [SV15: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 )
| ~ ( in_environment @ SV4 @ SV15 )
| ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 ) )
= $true )
| ( ( ( number_of_organizations @ SV4 @ SV15 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(115,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
| ~ ( subpopulation @ SV23 @ SV5 @ SV16 )
| ( ( cardinality_at_time @ SV23 @ SV16 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(116,plain,
! [SV17: $i,SV6: $i] :
( ( ( ( cardinality_at_time @ SV6 @ SV17 )
!= zero )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(117,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( environment @ SV7 )
| ~ ( in_environment @ SV7 @ SV18 ) )
= $true )
| ( ( ( ( cardinality_at_time @ efficient_producers @ SV18 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(118,plain,
! [SV8: $i] :
( ( ( constant @ SV8 )
= $false )
| ( ( ~ ( decreases @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(119,plain,
! [SV19: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 )
| ~ ( in_environment @ SV9 @ SV19 ) )
= $true )
| ( ( ( greater @ ( appear @ an_organisation @ SV9 ) @ SV19 )
| ( greater_or_equal @ SV19 @ ( appear @ an_organisation @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ first_movers @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ( subpopulation @ efficient_producers @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(122,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 )
| ~ ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
| ( ( cardinality_at_time @ efficient_producers @ SV20 )
!= zero ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(123,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ~ ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( decreases @ ( resources @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( greater @ ( number_of_organizations @ SX0 @ SX1 ) @ zero )
| ( greater @ ( equilibrium @ SX0 ) @ SX1 )
| ( constant @ ( resources @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(125,plain,
! [SV21: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV21 )
| ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( decreases @ ( resources @ SX0 @ SX1 ) )
| ~ ( decreases @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( environment @ SX0 )
| ~ ( in_environment @ SX0 @ SX1 )
| ~ ( constant @ ( resources @ SX0 @ SX1 ) )
| ( constant @ ( number_of_organizations @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(128,plain,
! [SV12: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 )
| ~ ( in_environment @ SV1 @ SV12 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(129,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SV24 )
| ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
| ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) )
| ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(130,plain,
! [SV25: $i,SV14: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 )
| ~ ( subpopulation @ SV14 @ SV3 @ SV25 )
| ~ ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero ) )
= $true )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(131,plain,
! [SV15: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 )
| ~ ( in_environment @ SV4 @ SV15 ) )
= $true )
| ( ( ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 ) )
= $true )
| ( ( ( number_of_organizations @ SV4 @ SV15 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(132,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
| ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(133,plain,
! [SV17: $i,SV6: $i] :
( ( ( ( cardinality_at_time @ SV6 @ SV17 )
= zero )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(134,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( environment @ SV7 ) )
= $true )
| ( ( ~ ( in_environment @ SV7 @ SV18 ) )
= $true )
| ( ( ( ( cardinality_at_time @ efficient_producers @ SV18 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(135,plain,
! [SV8: $i] :
( ( ( decreases @ SV8 )
= $false )
| ( ( constant @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(136,plain,
! [SV19: $i,SV9: $i] :
( ( ( ~ ( environment @ SV9 ) )
= $true )
| ( ( ~ ( in_environment @ SV9 @ SV19 ) )
= $true )
| ( ( ( greater @ ( appear @ an_organisation @ SV9 ) @ SV19 )
| ( greater_or_equal @ SV19 @ ( appear @ an_organisation @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(137,plain,
! [SV26: $i] :
( ( ! [SY55: $i] :
( ~ ( environment @ SV26 )
| ~ ( in_environment @ SV26 @ SY55 )
| ( subpopulation @ first_movers @ SV26 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(138,plain,
! [SV27: $i] :
( ( ! [SY56: $i] :
( ~ ( environment @ SV27 )
| ~ ( in_environment @ SV27 @ SY56 )
| ( subpopulation @ efficient_producers @ SV27 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(139,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 )
| ~ ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) ) )
= $true )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
!= zero )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(140,plain,
! [SV28: $i] :
( ( ! [SY57: $i] :
( ~ ( environment @ SV28 )
| ~ ( in_environment @ SV28 @ SY57 )
| ~ ( greater @ ( number_of_organizations @ SV28 @ SY57 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV28 ) @ SY57 )
| ( decreases @ ( resources @ SV28 @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(141,plain,
! [SV29: $i] :
( ( ! [SY58: $i] :
( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SY58 )
| ~ ( greater @ ( number_of_organizations @ SV29 @ SY58 ) @ zero )
| ( greater @ ( equilibrium @ SV29 ) @ SY58 )
| ( constant @ ( resources @ SV29 @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(142,plain,
! [SV21: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 )
| ~ ( in_environment @ SV11 @ SV21 ) )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(143,plain,
! [SV30: $i] :
( ( ! [SY59: $i] :
( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SY59 )
| ~ ( decreases @ ( resources @ SV30 @ SY59 ) )
| ~ ( decreases @ ( number_of_organizations @ SV30 @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(144,plain,
! [SV31: $i] :
( ( ! [SY60: $i] :
( ~ ( environment @ SV31 )
| ~ ( in_environment @ SV31 @ SY60 )
| ~ ( constant @ ( resources @ SV31 @ SY60 ) )
| ( constant @ ( number_of_organizations @ SV31 @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(145,plain,
! [SV12: $i,SV1: $i] :
( ( ( ~ ( environment @ SV1 ) )
= $true )
| ( ( ~ ( in_environment @ SV1 @ SV12 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(146,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SV24 )
| ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
| ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(147,plain,
! [SV25: $i,SV14: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 )
| ~ ( subpopulation @ SV14 @ SV3 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero ) )
= $true )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV15: $i,SV4: $i] :
( ( ( ~ ( environment @ SV4 ) )
= $true )
| ( ( ~ ( in_environment @ SV4 @ SV15 ) )
= $true )
| ( ( ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 ) )
= $true )
| ( ( ( number_of_organizations @ SV4 @ SV15 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(149,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ SV16 )
| ( ( number_of_organizations @ SV5 @ SV16 )
!= zero ) )
= $true )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(150,plain,
! [SV17: $i,SV6: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV6 @ SV17 ) )
= $false )
| ( ( ( cardinality_at_time @ SV6 @ SV17 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(151,plain,
! [SV18: $i,SV7: $i] :
( ( ( environment @ SV7 )
= $false )
| ( ( ~ ( in_environment @ SV7 @ SV18 ) )
= $true )
| ( ( ( ( cardinality_at_time @ efficient_producers @ SV18 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(152,plain,
! [SV19: $i,SV9: $i] :
( ( ( environment @ SV9 )
= $false )
| ( ( ~ ( in_environment @ SV9 @ SV19 ) )
= $true )
| ( ( ( greater @ ( appear @ an_organisation @ SV9 ) @ SV19 )
| ( greater_or_equal @ SV19 @ ( appear @ an_organisation @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV32: $i,SV26: $i] :
( ( ~ ( environment @ SV26 )
| ~ ( in_environment @ SV26 @ SV32 )
| ( subpopulation @ first_movers @ SV26 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV33: $i,SV27: $i] :
( ( ~ ( environment @ SV27 )
| ~ ( in_environment @ SV27 @ SV33 )
| ( subpopulation @ efficient_producers @ SV27 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(155,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( environment @ SV10 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) ) )
= $true )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
!= zero )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(156,plain,
! [SV34: $i,SV28: $i] :
( ( ~ ( environment @ SV28 )
| ~ ( in_environment @ SV28 @ SV34 )
| ~ ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero )
| ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV35: $i,SV29: $i] :
( ( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SV35 )
| ~ ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero )
| ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV21: $i,SV11: $i] :
( ( ( ~ ( environment @ SV11 ) )
= $true )
| ( ( ~ ( in_environment @ SV11 @ SV21 ) )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(159,plain,
! [SV36: $i,SV30: $i] :
( ( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SV36 )
| ~ ( decreases @ ( resources @ SV30 @ SV36 ) )
| ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(160,plain,
! [SV37: $i,SV31: $i] :
( ( ~ ( environment @ SV31 )
| ~ ( in_environment @ SV31 @ SV37 )
| ~ ( constant @ ( resources @ SV31 @ SV37 ) )
| ( constant @ ( number_of_organizations @ SV31 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(161,plain,
! [SV12: $i,SV1: $i] :
( ( ( environment @ SV1 )
= $false )
| ( ( ~ ( in_environment @ SV1 @ SV12 ) )
= $true )
| ( ( ~ ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(162,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SV24 )
| ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(163,plain,
! [SV25: $i,SV14: $i,SV3: $i] :
( ( ( ~ ( environment @ SV3 ) )
= $true )
| ( ( ~ ( subpopulation @ SV14 @ SV3 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero ) )
= $true )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(164,plain,
! [SV15: $i,SV4: $i] :
( ( ( environment @ SV4 )
= $false )
| ( ( ~ ( in_environment @ SV4 @ SV15 ) )
= $true )
| ( ( ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 ) )
= $true )
| ( ( ( number_of_organizations @ SV4 @ SV15 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(165,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 )
| ~ ( in_environment @ SV5 @ SV16 ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
= $true )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(166,plain,
! [SV18: $i,SV7: $i] :
( ( ( in_environment @ SV7 @ SV18 )
= $false )
| ( ( environment @ SV7 )
= $false )
| ( ( ( ( cardinality_at_time @ efficient_producers @ SV18 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(167,plain,
! [SV19: $i,SV9: $i] :
( ( ( in_environment @ SV9 @ SV19 )
= $false )
| ( ( environment @ SV9 )
= $false )
| ( ( ( greater @ ( appear @ an_organisation @ SV9 ) @ SV19 )
| ( greater_or_equal @ SV19 @ ( appear @ an_organisation @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(168,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ( environment @ SV26 )
| ~ ( in_environment @ SV26 @ SV32 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(169,plain,
! [SV33: $i,SV27: $i] :
( ( ( ~ ( environment @ SV27 )
| ~ ( in_environment @ SV27 @ SV33 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV27 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(170,plain,
! [SV20: $i,SV10: $i] :
( ( ( environment @ SV10 )
= $false )
| ( ( ~ ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) ) )
= $true )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
!= zero )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(171,plain,
! [SV34: $i,SV28: $i] :
( ( ( ~ ( environment @ SV28 )
| ~ ( in_environment @ SV28 @ SV34 )
| ~ ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(172,plain,
! [SV35: $i,SV29: $i] :
( ( ( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SV35 )
| ~ ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(173,plain,
! [SV21: $i,SV11: $i] :
( ( ( environment @ SV11 )
= $false )
| ( ( ~ ( in_environment @ SV11 @ SV21 ) )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(174,plain,
! [SV36: $i,SV30: $i] :
( ( ( ~ ( environment @ SV30 )
| ~ ( in_environment @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV30 @ SV36 ) )
| ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(175,plain,
! [SV37: $i,SV31: $i] :
( ( ( ~ ( environment @ SV31 )
| ~ ( in_environment @ SV31 @ SV37 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV31 @ SV37 ) )
| ( constant @ ( number_of_organizations @ SV31 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(176,plain,
! [SV12: $i,SV1: $i] :
( ( ( in_environment @ SV1 @ SV12 )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( ~ ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) ) )
= $true )
| ( ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(177,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 )
| ~ ( in_environment @ SV2 @ SV24 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV25: $i,SV14: $i,SV3: $i] :
( ( ( environment @ SV3 )
= $false )
| ( ( ~ ( subpopulation @ SV14 @ SV3 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero ) )
= $true )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(179,plain,
! [SV15: $i,SV4: $i] :
( ( ( in_environment @ SV4 @ SV15 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( ~ ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 ) )
= $true )
| ( ( ( number_of_organizations @ SV4 @ SV15 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(180,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( ~ ( environment @ SV5 ) )
= $true )
| ( ( ~ ( in_environment @ SV5 @ SV16 ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
= $true )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(181,plain,
! [SV7: $i,SV18: $i] :
( ( ( ( cardinality_at_time @ efficient_producers @ SV18 )
= zero )
= $true )
| ( ( greater @ ( cardinality_at_time @ efficient_producers @ SV18 ) @ zero )
= $true )
| ( ( environment @ SV7 )
= $false )
| ( ( in_environment @ SV7 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(182,plain,
! [SV19: $i,SV9: $i] :
( ( ( greater @ ( appear @ an_organisation @ SV9 ) @ SV19 )
= $true )
| ( ( greater_or_equal @ SV19 @ ( appear @ an_organisation @ SV9 ) )
= $true )
| ( ( environment @ SV9 )
= $false )
| ( ( in_environment @ SV9 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(183,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ( environment @ SV26 ) )
= $true )
| ( ( ~ ( in_environment @ SV26 @ SV32 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(184,plain,
! [SV33: $i,SV27: $i] :
( ( ( ~ ( environment @ SV27 ) )
= $true )
| ( ( ~ ( in_environment @ SV27 @ SV33 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV27 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(185,plain,
! [SV10: $i,SV20: $i] :
( ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
!= zero )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(186,plain,
! [SV34: $i,SV28: $i] :
( ( ( ~ ( environment @ SV28 )
| ~ ( in_environment @ SV28 @ SV34 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(187,plain,
! [SV35: $i,SV29: $i] :
( ( ( ~ ( environment @ SV29 )
| ~ ( in_environment @ SV29 @ SV35 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(188,plain,
! [SV21: $i,SV11: $i] :
( ( ( in_environment @ SV11 @ SV21 )
= $false )
| ( ( environment @ SV11 )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(189,plain,
! [SV36: $i,SV30: $i] :
( ( ( ~ ( environment @ SV30 ) )
= $true )
| ( ( ~ ( in_environment @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV30 @ SV36 ) )
| ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(190,plain,
! [SV37: $i,SV31: $i] :
( ( ( ~ ( environment @ SV31 ) )
= $true )
| ( ( ~ ( in_environment @ SV31 @ SV37 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV31 @ SV37 ) )
| ( constant @ ( number_of_organizations @ SV31 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(191,plain,
! [SV1: $i,SV12: $i] :
( ( ( greater_or_equal @ SV12 @ ( appear @ an_organisation @ SV1 ) )
= $false )
| ( ( environment @ SV1 )
= $false )
| ( ( in_environment @ SV1 @ SV12 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV1 @ SV12 ) @ zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(192,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( environment @ SV2 ) )
= $true )
| ( ( ~ ( in_environment @ SV2 @ SV24 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(193,plain,
! [SV25: $i,SV3: $i,SV14: $i] :
( ( ( subpopulation @ SV14 @ SV3 @ SV25 )
= $false )
| ( ( environment @ SV3 )
= $false )
| ( ( ~ ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero ) )
= $true )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(194,plain,
! [SV15: $i,SV4: $i] :
( ( ( greater @ ( appear @ an_organisation @ SV4 ) @ SV15 )
= $false )
| ( ( environment @ SV4 )
= $false )
| ( ( in_environment @ SV4 @ SV15 )
= $false )
| ( ( ( number_of_organizations @ SV4 @ SV15 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(195,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( environment @ SV5 )
= $false )
| ( ( ~ ( in_environment @ SV5 @ SV16 ) )
= $true )
| ( ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
= $true )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(196,plain,
! [SV32: $i,SV26: $i] :
( ( ( environment @ SV26 )
= $false )
| ( ( ~ ( in_environment @ SV26 @ SV32 ) )
= $true )
| ( ( subpopulation @ first_movers @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(197,plain,
! [SV33: $i,SV27: $i] :
( ( ( environment @ SV27 )
= $false )
| ( ( ~ ( in_environment @ SV27 @ SV33 ) )
= $true )
| ( ( subpopulation @ efficient_producers @ SV27 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV10: $i,SV20: $i] :
( ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV34: $i,SV28: $i] :
( ( ( ~ ( environment @ SV28 ) )
= $true )
| ( ( ~ ( in_environment @ SV28 @ SV34 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(200,plain,
! [SV35: $i,SV29: $i] :
( ( ( ~ ( environment @ SV29 ) )
= $true )
| ( ( ~ ( in_environment @ SV29 @ SV35 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(201,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
| ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(202,plain,
! [SV36: $i,SV30: $i] :
( ( ( environment @ SV30 )
= $false )
| ( ( ~ ( in_environment @ SV30 @ SV36 ) )
= $true )
| ( ( ~ ( decreases @ ( resources @ SV30 @ SV36 ) )
| ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV37: $i,SV31: $i] :
( ( ( environment @ SV31 )
= $false )
| ( ( ~ ( in_environment @ SV31 @ SV37 ) )
= $true )
| ( ( ~ ( constant @ ( resources @ SV31 @ SV37 ) )
| ( constant @ ( number_of_organizations @ SV31 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(204,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ( environment @ SV2 )
= $false )
| ( ( ~ ( in_environment @ SV2 @ SV24 ) )
= $true )
| ( ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(205,plain,
! [SV3: $i,SV25: $i,SV14: $i] :
( ( ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero )
= $false )
| ( ( environment @ SV3 )
= $false )
| ( ( subpopulation @ SV14 @ SV3 @ SV25 )
= $false )
| ( ( ( SV14 = efficient_producers )
| ( SV14 = first_movers ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(206,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( in_environment @ SV5 @ SV16 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( ( number_of_organizations @ SV5 @ SV16 )
!= zero )
= $true )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(207,plain,
! [SV32: $i,SV26: $i] :
( ( ( in_environment @ SV26 @ SV32 )
= $false )
| ( ( environment @ SV26 )
= $false )
| ( ( subpopulation @ first_movers @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(208,plain,
! [SV33: $i,SV27: $i] :
( ( ( in_environment @ SV27 @ SV33 )
= $false )
| ( ( environment @ SV27 )
= $false )
| ( ( subpopulation @ efficient_producers @ SV27 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(209,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(210,plain,
! [SV34: $i,SV28: $i] :
( ( ( environment @ SV28 )
= $false )
| ( ( ~ ( in_environment @ SV28 @ SV34 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(211,plain,
! [SV35: $i,SV29: $i] :
( ( ( environment @ SV29 )
= $false )
| ( ( ~ ( in_environment @ SV29 @ SV35 ) )
= $true )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(212,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(213,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(214,plain,
! [SV36: $i,SV30: $i] :
( ( ( in_environment @ SV30 @ SV36 )
= $false )
| ( ( environment @ SV30 )
= $false )
| ( ( ~ ( decreases @ ( resources @ SV30 @ SV36 ) )
| ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(215,plain,
! [SV37: $i,SV31: $i] :
( ( ( in_environment @ SV31 @ SV37 )
= $false )
| ( ( environment @ SV31 )
= $false )
| ( ( ~ ( constant @ ( resources @ SV31 @ SV37 ) )
| ( constant @ ( number_of_organizations @ SV31 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(216,plain,
! [SV22: $i,SV13: $i,SV24: $i,SV2: $i] :
( ( ( in_environment @ SV2 @ SV24 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) ) )
= $true )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(217,plain,
! [SV25: $i,SV3: $i,SV14: $i] :
( ( ( SV14 = efficient_producers )
= $true )
| ( ( SV14 = first_movers )
= $true )
| ( ( subpopulation @ SV14 @ SV3 @ SV25 )
= $false )
| ( ( environment @ SV3 )
= $false )
| ( ( greater @ ( cardinality_at_time @ SV14 @ SV25 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(218,plain,
! [SV23: $i,SV16: $i,SV5: $i] :
( ( ( ( number_of_organizations @ SV5 @ SV16 )
= zero )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( in_environment @ SV5 @ SV16 )
= $false )
| ( ( ~ ( subpopulation @ SV23 @ SV5 @ SV16 ) )
= $true )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(219,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(220,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(221,plain,
! [SV34: $i,SV28: $i] :
( ( ( in_environment @ SV28 @ SV34 )
= $false )
| ( ( environment @ SV28 )
= $false )
| ( ( ~ ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero ) )
= $true )
| ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(222,plain,
! [SV35: $i,SV29: $i] :
( ( ( in_environment @ SV29 @ SV35 )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( ~ ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero ) )
= $true )
| ( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(223,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) ) )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(224,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) ) )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(225,plain,
! [SV36: $i,SV30: $i] :
( ( ( ~ ( decreases @ ( resources @ SV30 @ SV36 ) ) )
= $true )
| ( ( ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true )
| ( ( environment @ SV30 )
= $false )
| ( ( in_environment @ SV30 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(226,plain,
! [SV37: $i,SV31: $i] :
( ( ( ~ ( constant @ ( resources @ SV31 @ SV37 ) ) )
= $true )
| ( ( constant @ ( number_of_organizations @ SV31 @ SV37 ) )
= $true )
| ( ( environment @ SV31 )
= $false )
| ( ( in_environment @ SV31 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(227,plain,
! [SV2: $i,SV24: $i,SV13: $i,SV22: $i] :
( ( ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
= $true )
| ( ( environment @ SV2 )
= $false )
| ( ( in_environment @ SV2 @ SV24 )
= $false )
| ( ( ~ ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(228,plain,
! [SV16: $i,SV5: $i,SV23: $i] :
( ( ( subpopulation @ SV23 @ SV5 @ SV16 )
= $false )
| ( ( in_environment @ SV5 @ SV16 )
= $false )
| ( ( environment @ SV5 )
= $false )
| ( ( ( number_of_organizations @ SV5 @ SV16 )
= zero )
= $false )
| ( ( ( cardinality_at_time @ SV23 @ SV16 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) ) )
= $true )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(230,plain,
! [SV10: $i,SV20: $i] :
( ( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sK4_To @ SV20 @ SV10 ) ) )
= $true )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(231,plain,
! [SV34: $i,SV28: $i] :
( ( ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero )
= $false )
| ( ( environment @ SV28 )
= $false )
| ( ( in_environment @ SV28 @ SV34 )
= $false )
| ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 )
| ( decreases @ ( resources @ SV28 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(232,plain,
! [SV35: $i,SV29: $i] :
( ( ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( in_environment @ SV29 @ SV35 )
= $false )
| ( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
| ( constant @ ( resources @ SV29 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(233,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
| ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(234,plain,
! [SV11: $i,SV21: $i] :
( ( ( greater @ zero @ ( growth_rate @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(235,plain,
! [SV36: $i,SV30: $i] :
( ( ( decreases @ ( resources @ SV30 @ SV36 ) )
= $false )
| ( ( ~ ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) ) )
= $true )
| ( ( environment @ SV30 )
= $false )
| ( ( in_environment @ SV30 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(236,plain,
! [SV37: $i,SV31: $i] :
( ( ( constant @ ( resources @ SV31 @ SV37 ) )
= $false )
| ( ( constant @ ( number_of_organizations @ SV31 @ SV37 ) )
= $true )
| ( ( environment @ SV31 )
= $false )
| ( ( in_environment @ SV31 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(237,plain,
! [SV13: $i,SV2: $i,SV24: $i,SV22: $i] :
( ( ( greater @ zero @ ( growth_rate @ SV22 @ SV24 ) )
= $false )
| ( ( in_environment @ SV2 @ SV24 )
= $false )
| ( ( environment @ SV2 )
= $false )
| ( ( greater @ zero @ ( growth_rate @ SV13 @ SV24 ) )
= $true )
| ( ( greater @ ( resilience @ SV22 ) @ ( resilience @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(238,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
| ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV34: $i,SV28: $i] :
( ( ( ~ ( greater @ ( equilibrium @ SV28 ) @ SV34 ) )
= $true )
| ( ( decreases @ ( resources @ SV28 @ SV34 ) )
= $true )
| ( ( in_environment @ SV28 @ SV34 )
= $false )
| ( ( environment @ SV28 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(240,plain,
! [SV35: $i,SV29: $i] :
( ( ( greater @ ( equilibrium @ SV29 ) @ SV35 )
= $true )
| ( ( constant @ ( resources @ SV29 @ SV35 ) )
= $true )
| ( ( in_environment @ SV29 @ SV35 )
= $false )
| ( ( environment @ SV29 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV29 @ SV35 ) @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(242,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 ) )
= $false )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(243,plain,
! [SV36: $i,SV30: $i] :
( ( ( decreases @ ( number_of_organizations @ SV30 @ SV36 ) )
= $false )
| ( ( decreases @ ( resources @ SV30 @ SV36 ) )
= $false )
| ( ( environment @ SV30 )
= $false )
| ( ( in_environment @ SV30 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(244,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(245,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(246,plain,
! [SV34: $i,SV28: $i] :
( ( ( greater @ ( equilibrium @ SV28 ) @ SV34 )
= $false )
| ( ( decreases @ ( resources @ SV28 @ SV34 ) )
= $true )
| ( ( in_environment @ SV28 @ SV34 )
= $false )
| ( ( environment @ SV28 )
= $false )
| ( ( greater @ ( number_of_organizations @ SV28 @ SV34 ) @ zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(247,plain,
! [SV11: $i,SV21: $i] :
( ( ( greater @ ( cardinality_at_time @ ( sK3_X @ SV21 @ SV11 ) @ SV21 ) @ zero )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(248,plain,
! [SV11: $i,SV21: $i] :
( ( ( subpopulation @ ( sK3_X @ SV21 @ SV11 ) @ SV11 @ SV21 )
= $true )
| ( ( decreases @ ( number_of_organizations @ SV11 @ SV21 ) )
= $true )
| ( ( environment @ SV11 )
= $false )
| ( ( in_environment @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(249,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) ) )
= $true )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(250,plain,
! [SV10: $i,SV20: $i] :
( ( ( greater @ SV20 @ ( sK4_To @ SV20 @ SV10 ) )
= $true )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(251,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
| ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(252,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(253,plain,
! [SV20: $i,SV10: $i] :
( ( ( ~ ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) ) )
= $false )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(254,plain,
! [SV10: $i,SV20: $i] :
( ( ( greater @ ( sK4_To @ SV20 @ SV10 ) @ ( appear @ efficient_producers @ SV10 ) )
= $true )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(255,plain,
! [SV20: $i,SV10: $i] :
( ( ( in_environment @ SV10 @ ( sK4_To @ SV20 @ SV10 ) )
= $true )
| ( ( greater_or_equal @ SV20 @ ( appear @ efficient_producers @ SV10 ) )
= $false )
| ( ( environment @ SV10 )
= $false )
| ( ( ( cardinality_at_time @ efficient_producers @ SV20 )
= zero )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(256,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[59,255,254,250,248,247,246,243,240,237,236,234,230,228,217,208,207,194,191,182,181,150,135,88,72,71,70]) ).
thf(257,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n017.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 12:38:15 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.35
% 0.59/0.35 No.of.Axioms: 15
% 0.59/0.35
% 0.59/0.35 Length.of.Defs: 0
% 0.59/0.35
% 0.59/0.35 Contains.Choice.Funs: false
% 0.59/0.35 ........
% 0.59/0.35
% 0.59/0.35 ********************************
% 0.59/0.35 * All subproblems solved! *
% 0.59/0.35 ********************************
% 0.59/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:256,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.59/0.35
% 0.59/0.35 %**** Beginning of derivation protocol ****
% 0.59/0.35 % SZS output start CNFRefutation
% See solution above
% 0.59/0.36
% 0.59/0.36 %**** End of derivation protocol ****
% 0.59/0.36 %**** no. of clauses in derivation: 257 ****
% 0.59/0.36 %**** clause counter: 256 ****
% 0.59/0.36
% 0.59/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:256,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------