TSTP Solution File: MGT035+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT035+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZTmBNmR1Mz true
% Computer : n002.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 : 300s
% DateTime : Thu Aug 31 09:20:13 EDT 2023
% Result : Theorem 62.01s 9.64s
% Output : Refutation 62.01s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decreases_type,type,
decreases: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(number_of_organizations_type,type,
number_of_organizations: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(resources_type,type,
resources: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(constant_type,type,
constant: $i > $o ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(equilibrium_type,type,
equilibrium: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(outcompetes_type,type,
outcompetes: $i > $i > $i > $o ).
thf(subpopulation_type,type,
subpopulation: $i > $i > $i > $o ).
thf(cardinality_at_time_type,type,
cardinality_at_time: $i > $i > $i ).
thf(increases_type,type,
increases: $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(stable_type,type,
stable: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(l1,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(a5,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [T: $i] :
( ( greater_or_equal @ T @ ( equilibrium @ E ) )
& ( in_environment @ E @ T ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_001,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_002,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(mp_time_point_in_environment,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_point_in_environment]) ).
thf(prove_t4,conjecture,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( outcompetes @ efficient_producers @ first_movers @ T ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( outcompetes @ efficient_producers @ first_movers @ T ) )
& ( in_environment @ E @ To ) ) ),
inference('cnf.neg',[status(esa)],[prove_t4]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( environment @ sk__2 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl43]) ).
thf(zip_derived_cl39,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_003,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_004,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_005,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_006,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_007,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_008,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_009,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_010,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_011,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_012,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl43_013,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_environment_not_empty,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_environment_not_empty]) ).
thf(a4,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 ) ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( constant @ ( resources @ X0 @ X1 ) )
| ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(zip_derived_cl407,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( greater @ ( equilibrium @ X1 ) @ X0 )
| ( constant @ ( resources @ X1 @ X0 ) )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl31]) ).
thf(zip_derived_cl412,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X1 @ X0 )
| ( constant @ ( resources @ X1 @ X0 ) )
| ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( environment @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl407]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_point_in_environment]) ).
thf(zip_derived_cl416,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( greater @ ( equilibrium @ X1 ) @ X0 )
| ( constant @ ( resources @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl412,zip_derived_cl0]) ).
thf(zip_derived_cl417,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ X0 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ X0 ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl416]) ).
thf(zip_derived_cl39_015,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl418,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ X0 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl39]) ).
thf(zip_derived_cl445,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl418]) ).
thf(zip_derived_cl39_016,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl448,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl39,zip_derived_cl40]) ).
thf(mp_FM_and_EP_organisational,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ first_movers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(mp_only_members,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 ) ) ) )
=> ( ( number_of_organizations @ E @ T )
= ( sum @ ( cardinality_at_time @ first_movers @ T ) @ ( cardinality_at_time @ efficient_producers @ T ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulation @ X1 @ X0 @ X2 )
| ( X1 != first_movers )
| ( ( number_of_organizations @ X0 @ X2 )
= ( sum @ ( cardinality_at_time @ first_movers @ X2 ) @ ( cardinality_at_time @ efficient_producers @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mp_only_members]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( ( number_of_organizations @ X1 @ X0 )
= ( sum @ ( cardinality_at_time @ first_movers @ X0 ) @ ( cardinality_at_time @ efficient_producers @ X0 ) ) )
| ( first_movers != first_movers )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( ( number_of_organizations @ X1 @ X0 )
= ( sum @ ( cardinality_at_time @ first_movers @ X0 ) @ ( cardinality_at_time @ efficient_producers @ X0 ) ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl124]) ).
thf(a7,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 ) ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( constant @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[a7]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i] :
( ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ X0 ) @ ( cardinality_at_time @ efficient_producers @ X0 ) ) )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( constant @ ( resources @ X1 @ X0 ) )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl126,zip_derived_cl34]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i] :
( ~ ( constant @ ( resources @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ X0 ) @ ( cardinality_at_time @ efficient_producers @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl452,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl202]) ).
thf(zip_derived_cl39_017,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl39]) ).
thf(zip_derived_cl467,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl454]) ).
thf(zip_derived_cl468,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl467]) ).
thf(zip_derived_cl39_018,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_019,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl469,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl468,zip_derived_cl39,zip_derived_cl40]) ).
thf(mp_abc_sum_increase,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( constant @ A )
& ( A
= ( sum @ B @ C ) ) )
=> ( ( ( increases @ C )
& ( decreases @ B ) )
| ( ( decreases @ C )
& ( increases @ B ) )
| ( ( constant @ C )
& ( constant @ B ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [C: $i,B: $i] :
( ( zip_tseitin_2 @ C @ B )
=> ( ( constant @ B )
& ( constant @ C ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [C: $i,B: $i] :
( ( zip_tseitin_1 @ C @ B )
=> ( ( increases @ B )
& ( decreases @ C ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [C: $i,B: $i] :
( ( zip_tseitin_0 @ C @ B )
=> ( ( decreases @ B )
& ( increases @ C ) ) ) ).
thf(zf_stmt_7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A
= ( sum @ B @ C ) )
& ( constant @ A ) )
=> ( ( zip_tseitin_2 @ C @ B )
| ( zip_tseitin_1 @ C @ B )
| ( zip_tseitin_0 @ C @ B ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( constant @ X0 )
| ( X0
!= ( sum @ X1 @ X2 ) )
| ( zip_tseitin_2 @ X2 @ X1 )
| ( zip_tseitin_1 @ X2 @ X1 )
| ( zip_tseitin_0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X1 @ X0 )
| ( zip_tseitin_1 @ X1 @ X0 )
| ( zip_tseitin_2 @ X1 @ X0 )
| ~ ( constant @ ( sum @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl473,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl335]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( increases @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl478,plain,
( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( decreases @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1184,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4686,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl12]) ).
thf(zip_derived_cl43_020,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_positive_number_of_organizations,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_positive_number_of_organizations]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl17]) ).
thf(zip_derived_cl39_021,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl39]) ).
thf(mp_growth_rate,axiom,
! [X: $i,E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( subpopulation @ X @ E @ T )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero ) )
=> ( ( ( constant @ ( cardinality_at_time @ X @ T ) )
=> ( ( growth_rate @ X @ T )
= zero ) )
& ( ( increases @ ( cardinality_at_time @ X @ T ) )
=> ( greater @ ( growth_rate @ X @ T ) @ zero ) )
& ( ( decreases @ ( cardinality_at_time @ X @ T ) )
=> ( greater @ zero @ ( growth_rate @ X @ T ) ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( greater @ ( growth_rate @ X2 @ X1 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl400,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( subpopulation @ efficient_producers @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl15]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl579,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl4688,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4686,zip_derived_cl579]) ).
thf(mp_greater_or_equal,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_022,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_023,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_024,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_025,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl473_026,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl335]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( decreases @ X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl477,plain,
( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl7]) ).
thf(zip_derived_cl10_027,plain,
! [X0: $i,X1: $i] :
( ( decreases @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1089,plain,
( ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl10]) ).
thf(zip_derived_cl12_028,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4081,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl12]) ).
thf(zip_derived_cl43_029,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ ( cardinality_at_time @ first_movers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_positive_number_of_organizations]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl18]) ).
thf(zip_derived_cl39_030,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl39]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( greater @ zero @ ( growth_rate @ X2 @ X1 ) )
| ~ ( decreases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl393,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( subpopulation @ first_movers @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl14]) ).
thf(zip_derived_cl6_031,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ first_movers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl539,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl6]) ).
thf(zip_derived_cl4083,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4081,zip_derived_cl539]) ).
thf(zip_derived_cl4471,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4083]) ).
thf(zip_derived_cl39_032,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_033,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4472,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4471,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl4473,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl4472]) ).
thf(zip_derived_cl39_034,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4474,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4473,zip_derived_cl39]) ).
thf(zip_derived_cl4475,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4474]) ).
thf(zip_derived_cl39_035,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_036,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4476,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4475,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl43_037,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
<=> ( outcompetes @ S2 @ S1 @ T ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
| ( outcompetes @ X2 @ X1 @ X3 )
| ~ ( greater @ zero @ ( growth_rate @ X1 @ X3 ) )
| ~ ( greater_or_equal @ ( growth_rate @ X2 @ X3 ) @ zero ) ),
inference(cnf,[status(esa)],[d2]) ).
thf(zip_derived_cl116,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ( outcompetes @ efficient_producers @ first_movers @ ( sk__3 @ X0 ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl27]) ).
thf(zip_derived_cl39_038,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ( outcompetes @ efficient_producers @ first_movers @ ( sk__3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( outcompetes @ efficient_producers @ first_movers @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl41]) ).
thf(zip_derived_cl4558,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl4476,zip_derived_cl390]) ).
thf(zip_derived_cl4587,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4558]) ).
thf(zip_derived_cl39_039,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_040,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4588,plain,
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4587,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl4589,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl4588]) ).
thf(zip_derived_cl5413,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4688,zip_derived_cl4589]) ).
thf(zip_derived_cl5414,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5413]) ).
thf(zip_derived_cl39_041,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_042,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5415,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5414,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl5416,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl5415]) ).
thf(zip_derived_cl39_043,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5417,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5416,zip_derived_cl39]) ).
thf(zip_derived_cl5418,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5417]) ).
thf(zip_derived_cl39_044,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_045,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5419,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5418,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl66_046,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl39]) ).
thf(zip_derived_cl14_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( greater @ zero @ ( growth_rate @ X2 @ X1 ) )
| ~ ( decreases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl394,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( subpopulation @ efficient_producers @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl14]) ).
thf(zip_derived_cl5_048,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl577,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl394,zip_derived_cl5]) ).
thf(zip_derived_cl5420,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5419,zip_derived_cl577]) ).
thf(zip_derived_cl5421,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5420]) ).
thf(zip_derived_cl39_049,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_050,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5422,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5421,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl5423,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl5422]) ).
thf(zip_derived_cl39_051,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5424,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5423,zip_derived_cl39]) ).
thf(zip_derived_cl5425,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5424]) ).
thf(zip_derived_cl39_052,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_053,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5426,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5425,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl24_054,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_055,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_056,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_057,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_058,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_059,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_060,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_061,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_062,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_063,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_064,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(mp_times_in_environment,axiom,
! [E: $i,T1: $i,T2: $i] :
( ( ( in_environment @ E @ T1 )
& ( in_environment @ E @ T2 ) )
=> ( ( greater @ T2 @ T1 )
| ( T2 = T1 )
| ( greater @ T1 @ T2 ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in_environment @ X0 @ X1 )
| ~ ( in_environment @ X0 @ X2 )
| ( greater @ X2 @ X1 )
| ( X2 = X1 )
| ( greater @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mp_times_in_environment]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ( greater @ ( sk__1 @ X0 ) @ X1 )
| ( X1
= ( sk__1 @ X0 ) )
| ( greater @ X1 @ ( sk__1 @ X0 ) )
| ~ ( in_environment @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl22]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ X0 )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ X0 ) )
| ~ ( stable @ sk__2 )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl95]) ).
thf(zip_derived_cl40_065,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_066,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ X0 )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl679,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl152]) ).
thf(zip_derived_cl39_067,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_068,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl682,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl679,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl24_069,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_070,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_071,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_072,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_073,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_074,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_075,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_076,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl1184_077,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl10]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4685,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl11]) ).
thf(zip_derived_cl579_078,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl4687,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4685,zip_derived_cl579]) ).
thf(zip_derived_cl24_079,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_080,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_081,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_082,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_083,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl1089_084,plain,
( ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl10]) ).
thf(zip_derived_cl11_085,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4080,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl11]) ).
thf(zip_derived_cl539_086,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl6]) ).
thf(zip_derived_cl4082,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4080,zip_derived_cl539]) ).
thf(zip_derived_cl4275,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4082]) ).
thf(zip_derived_cl39_087,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_088,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4276,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4275,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl4277,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl4276]) ).
thf(zip_derived_cl39_089,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4278,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4277,zip_derived_cl39]) ).
thf(zip_derived_cl4279,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4278]) ).
thf(zip_derived_cl39_090,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_091,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4280,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4279,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl390_092,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl41]) ).
thf(zip_derived_cl4324,plain,
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl4280,zip_derived_cl390]) ).
thf(zip_derived_cl4353,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4324]) ).
thf(zip_derived_cl39_093,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_094,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4354,plain,
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4353,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl4355,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl4354]) ).
thf(zip_derived_cl5012,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4687,zip_derived_cl4355]) ).
thf(zip_derived_cl5013,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5012]) ).
thf(zip_derived_cl39_095,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_096,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5014,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5013,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl5015,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl5014]) ).
thf(zip_derived_cl39_097,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5016,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5015,zip_derived_cl39]) ).
thf(zip_derived_cl5017,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5016]) ).
thf(zip_derived_cl39_098,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_099,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5018,plain,
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5017,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl577_100,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl394,zip_derived_cl5]) ).
thf(zip_derived_cl5019,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5018,zip_derived_cl577]) ).
thf(zip_derived_cl5020,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5019]) ).
thf(zip_derived_cl39_101,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_102,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5021,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5020,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl5022,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl5021]) ).
thf(zip_derived_cl39_103,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5023,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5022,zip_derived_cl39]) ).
thf(zip_derived_cl5024,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5023]) ).
thf(zip_derived_cl39_104,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_105,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5025,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5024,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl33_106,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_107,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_108,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl478_109,plain,
( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( increases @ X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1183,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl9]) ).
thf(zip_derived_cl11_110,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4467,plain,
( ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl11]) ).
thf(zip_derived_cl67_111,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl39]) ).
thf(zip_derived_cl15_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( greater @ ( growth_rate @ X2 @ X1 ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl399,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( subpopulation @ first_movers @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl15]) ).
thf(zip_derived_cl6_113,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ first_movers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl578,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl399,zip_derived_cl6]) ).
thf(zip_derived_cl4469,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4467,zip_derived_cl578]) ).
thf(zip_derived_cl4701,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4469]) ).
thf(zip_derived_cl39_114,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_115,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4702,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4701,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl4703,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl4702]) ).
thf(zip_derived_cl39_116,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4704,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl4703,zip_derived_cl39]) ).
thf(zip_derived_cl4714,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl4704]) ).
thf(zip_derived_cl39_117,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_118,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4715,plain,
( ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4714,zip_derived_cl39,zip_derived_cl40]) ).
thf(mp_greater_transitivity,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl4717,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ X0 )
| ~ ( greater @ zero @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4715,zip_derived_cl21]) ).
thf(zip_derived_cl5072,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5025,zip_derived_cl4717]) ).
thf(zip_derived_cl5101,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5072]) ).
thf(zip_derived_cl43_119,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk__1 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl450,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl37]) ).
thf(zip_derived_cl39_120,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_121,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl451,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(mp6_2,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl825,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl20]) ).
thf(zip_derived_cl6714,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5101,zip_derived_cl825]) ).
thf(zip_derived_cl6716,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl6714]) ).
thf(zip_derived_cl39_122,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_123,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6717,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6716,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6718,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl6717]) ).
thf(zip_derived_cl6721,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl6718]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl6717_124,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6716,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6719,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl6717]) ).
thf(zip_derived_cl6941,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6721,zip_derived_cl6719]) ).
thf(zip_derived_cl579_125,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl6942,plain,
! [X0: $i] :
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6941,zip_derived_cl579]) ).
thf(zip_derived_cl5025_126,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5024,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_127,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl5027,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl5025,zip_derived_cl20]) ).
thf(zip_derived_cl10365,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6942,zip_derived_cl5027]) ).
thf(zip_derived_cl10366,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10365]) ).
thf(zip_derived_cl39_128,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_129,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10367,plain,
! [X0: $i] :
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10366,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10368,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl10367]) ).
thf(zip_derived_cl39_130,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10369,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10368,zip_derived_cl39]) ).
thf(zip_derived_cl10370,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10369]) ).
thf(zip_derived_cl39_131,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_132,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10371,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10370,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl67_133,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl39]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( ( growth_rate @ X2 @ X1 )
= zero )
| ~ ( constant @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( subpopulation @ first_movers @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl16]) ).
thf(zip_derived_cl6_134,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ first_movers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl443,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl6]) ).
thf(zip_derived_cl10372,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10371,zip_derived_cl443]) ).
thf(zip_derived_cl10373,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10372]) ).
thf(zip_derived_cl39_135,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_136,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10374,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10373,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10375,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl10374]) ).
thf(zip_derived_cl39_137,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10376,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl10375,zip_derived_cl39]) ).
thf(zip_derived_cl10377,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10376]) ).
thf(zip_derived_cl39_138,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_139,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10378,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10377,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl33_140,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_141,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl33_142,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_143,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_144,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl5426_145,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5425,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl38_146,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ X0 ) @ X0 )
| ( ( sk__3 @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl23]) ).
thf(zip_derived_cl57,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl53]) ).
thf(zip_derived_cl39_147,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_148,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl38_149,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_150,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_151,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_152,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_153,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_154,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_155,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_156,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_157,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_158,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_159,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_160,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_161,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_162,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_163,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl418_164,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ X0 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl39]) ).
thf(zip_derived_cl446,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl418]) ).
thf(zip_derived_cl39_165,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_166,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl449,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( resources @ sk__2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl202_167,plain,
! [X0: $i,X1: $i] :
( ~ ( constant @ ( resources @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ X0 ) @ ( cardinality_at_time @ efficient_producers @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl456,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl202]) ).
thf(zip_derived_cl39_168,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl458,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl39]) ).
thf(zip_derived_cl470,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl458]) ).
thf(zip_derived_cl471,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl470]) ).
thf(zip_derived_cl39_169,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_170,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl472,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( sum @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl335_171,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X1 @ X0 )
| ( zip_tseitin_1 @ X1 @ X0 )
| ( zip_tseitin_2 @ X1 @ X0 )
| ~ ( constant @ ( sum @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl475,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl335]) ).
thf(zip_derived_cl8_172,plain,
! [X0: $i,X1: $i] :
( ( increases @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1008,plain,
( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl8]) ).
thf(zip_derived_cl10_173,plain,
! [X0: $i,X1: $i] :
( ( decreases @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl3709,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl10]) ).
thf(zip_derived_cl12_174,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6210,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3709,zip_derived_cl12]) ).
thf(zip_derived_cl579_175,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl6212,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6210,zip_derived_cl579]) ).
thf(zip_derived_cl24_176,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl38_177,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_178,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_179,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_180,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl475_181,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_0 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl335]) ).
thf(zip_derived_cl7_182,plain,
! [X0: $i,X1: $i] :
( ( decreases @ X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1007,plain,
( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl7]) ).
thf(zip_derived_cl10_183,plain,
! [X0: $i,X1: $i] :
( ( decreases @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl3586,plain,
( ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl10]) ).
thf(zip_derived_cl12_184,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6090,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3586,zip_derived_cl12]) ).
thf(zip_derived_cl539_185,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl6]) ).
thf(zip_derived_cl6092,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6090,zip_derived_cl539]) ).
thf(zip_derived_cl6229,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6092]) ).
thf(zip_derived_cl39_186,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_187,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6230,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6229,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6231,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl6230]) ).
thf(zip_derived_cl39_188,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6232,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6231,zip_derived_cl39]) ).
thf(zip_derived_cl6243,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6232]) ).
thf(zip_derived_cl39_189,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_190,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6244,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6243,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl390_191,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl41]) ).
thf(zip_derived_cl6299,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl6244,zip_derived_cl390]) ).
thf(zip_derived_cl6330,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6299]) ).
thf(zip_derived_cl39_192,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_193,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6331,plain,
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6330,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6332,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl6331]) ).
thf(zip_derived_cl8441,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6212,zip_derived_cl6332]) ).
thf(zip_derived_cl8442,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8441]) ).
thf(zip_derived_cl39_194,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_195,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8443,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl8442,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8444,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl8443]) ).
thf(zip_derived_cl39_196,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8445,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8444,zip_derived_cl39]) ).
thf(zip_derived_cl8446,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8445]) ).
thf(zip_derived_cl39_197,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_198,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8447,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8446,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl577_199,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl394,zip_derived_cl5]) ).
thf(zip_derived_cl8448,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8447,zip_derived_cl577]) ).
thf(zip_derived_cl8449,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8448]) ).
thf(zip_derived_cl39_200,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_201,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8450,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8449,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8451,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl8450]) ).
thf(zip_derived_cl39_202,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8452,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8451,zip_derived_cl39]) ).
thf(zip_derived_cl8453,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8452]) ).
thf(zip_derived_cl39_203,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_204,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8454,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8453,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl38_205,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_206,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_207,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_208,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl1008_209,plain,
( ( zip_tseitin_1 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl8]) ).
thf(zip_derived_cl9_210,plain,
! [X0: $i,X1: $i] :
( ( increases @ X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl3708,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl9]) ).
thf(zip_derived_cl12_211,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6094,plain,
( ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3708,zip_derived_cl12]) ).
thf(zip_derived_cl578_212,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl399,zip_derived_cl6]) ).
thf(zip_derived_cl6096,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6094,zip_derived_cl578]) ).
thf(zip_derived_cl6847,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6096]) ).
thf(zip_derived_cl39_213,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_214,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6848,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6847,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6949,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl6848]) ).
thf(zip_derived_cl39_215,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6950,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl6949,zip_derived_cl39]) ).
thf(zip_derived_cl6951,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6950]) ).
thf(zip_derived_cl39_216,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_217,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6952,plain,
( ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6951,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl451_218,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21_219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl826,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ X1 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl21]) ).
thf(zip_derived_cl6975,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6952,zip_derived_cl826]) ).
thf(zip_derived_cl42_220,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7079,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6975,zip_derived_cl42]) ).
thf(zip_derived_cl7080,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7079]) ).
thf(zip_derived_cl39_221,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_222,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7081,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl7080,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_223,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl7082,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7081,zip_derived_cl20]) ).
thf(zip_derived_cl8530,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8454,zip_derived_cl7082]) ).
thf(zip_derived_cl8559,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8530]) ).
thf(zip_derived_cl579_224,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl8568,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8559,zip_derived_cl579]) ).
thf(zip_derived_cl8454_225,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8453,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_226,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl8465,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl8454,zip_derived_cl20]) ).
thf(zip_derived_cl8710,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8568,zip_derived_cl8465]) ).
thf(zip_derived_cl8711,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8710]) ).
thf(zip_derived_cl39_227,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_228,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8712,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl8711,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8713,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl8712]) ).
thf(zip_derived_cl39_229,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8714,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8713,zip_derived_cl39]) ).
thf(zip_derived_cl8715,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8714]) ).
thf(zip_derived_cl39_230,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_231,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8716,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8715,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl66_232,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl39]) ).
thf(zip_derived_cl16_233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( ( growth_rate @ X2 @ X1 )
= zero )
| ~ ( constant @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( subpopulation @ efficient_producers @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl16]) ).
thf(zip_derived_cl5_234,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl444,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl5]) ).
thf(zip_derived_cl8717,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8716,zip_derived_cl444]) ).
thf(zip_derived_cl8718,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8717]) ).
thf(zip_derived_cl39_235,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_236,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8719,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8718,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8720,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl8719]) ).
thf(zip_derived_cl39_237,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8721,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl8720,zip_derived_cl39]) ).
thf(zip_derived_cl8722,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8721]) ).
thf(zip_derived_cl39_238,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_239,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8723,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8722,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21_240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl8725,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8723,zip_derived_cl21]) ).
thf(zip_derived_cl8761,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl8725]) ).
thf(zip_derived_cl38_241,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl59_242,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl38_243,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_244,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_245,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_246,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_247,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_248,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_249,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_250,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_251,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_252,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_253,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_254,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl3709_255,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl10]) ).
thf(zip_derived_cl11_256,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6209,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3709,zip_derived_cl11]) ).
thf(zip_derived_cl579_257,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl6211,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6209,zip_derived_cl579]) ).
thf(zip_derived_cl24_258,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl38_259,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_260,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_261,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_262,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl3586_263,plain,
( ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl10]) ).
thf(zip_derived_cl11_264,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6089,plain,
( ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3586,zip_derived_cl11]) ).
thf(zip_derived_cl539_265,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl6]) ).
thf(zip_derived_cl6091,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6089,zip_derived_cl539]) ).
thf(zip_derived_cl6097,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6091]) ).
thf(zip_derived_cl39_266,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_267,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6098,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6097,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6099,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl6098]) ).
thf(zip_derived_cl39_268,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6100,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6099,zip_derived_cl39]) ).
thf(zip_derived_cl6101,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6100]) ).
thf(zip_derived_cl39_269,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_270,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6102,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6101,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl390_271,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl41]) ).
thf(zip_derived_cl6154,plain,
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl6102,zip_derived_cl390]) ).
thf(zip_derived_cl6185,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6154]) ).
thf(zip_derived_cl39_272,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_273,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6186,plain,
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6185,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6187,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl6186]) ).
thf(zip_derived_cl7117,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6211,zip_derived_cl6187]) ).
thf(zip_derived_cl7118,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7117]) ).
thf(zip_derived_cl39_274,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_275,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7119,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7118,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl7120,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl7119]) ).
thf(zip_derived_cl39_276,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7121,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7120,zip_derived_cl39]) ).
thf(zip_derived_cl7122,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7121]) ).
thf(zip_derived_cl39_277,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_278,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7123,plain,
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7122,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl577_279,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl394,zip_derived_cl5]) ).
thf(zip_derived_cl7124,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7123,zip_derived_cl577]) ).
thf(zip_derived_cl7125,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7124]) ).
thf(zip_derived_cl39_280,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_281,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7126,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7125,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl7127,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl7126]) ).
thf(zip_derived_cl39_282,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7128,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7127,zip_derived_cl39]) ).
thf(zip_derived_cl7129,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7128]) ).
thf(zip_derived_cl39_283,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_284,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7130,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7129,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl38_285,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl38_286,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_287,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl38_288,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl3708_289,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( zip_tseitin_2 @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl9]) ).
thf(zip_derived_cl11_290,plain,
! [X0: $i,X1: $i] :
( ( constant @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6093,plain,
( ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3708,zip_derived_cl11]) ).
thf(zip_derived_cl578_291,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl399,zip_derived_cl6]) ).
thf(zip_derived_cl6095,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6093,zip_derived_cl578]) ).
thf(zip_derived_cl6732,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6095]) ).
thf(zip_derived_cl39_292,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_293,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6733,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6732,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl6734,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl6733]) ).
thf(zip_derived_cl39_294,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6735,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl6734,zip_derived_cl39]) ).
thf(zip_derived_cl6736,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6735]) ).
thf(zip_derived_cl39_295,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_296,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6737,plain,
( ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6736,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl826_297,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ X1 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl21]) ).
thf(zip_derived_cl6770,plain,
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6737,zip_derived_cl826]) ).
thf(zip_derived_cl42_298,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6804,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6770,zip_derived_cl42]) ).
thf(zip_derived_cl6805,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl6804]) ).
thf(zip_derived_cl39_299,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_300,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6806,plain,
( ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl6805,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_301,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl6807,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6806,zip_derived_cl20]) ).
thf(zip_derived_cl7198,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7130,zip_derived_cl6807]) ).
thf(zip_derived_cl7230,plain,
( ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7198]) ).
thf(zip_derived_cl579_302,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( increases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl5]) ).
thf(zip_derived_cl7272,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7230,zip_derived_cl579]) ).
thf(zip_derived_cl7130_303,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7129,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_304,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl7131,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl7130,zip_derived_cl20]) ).
thf(zip_derived_cl7401,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7272,zip_derived_cl7131]) ).
thf(zip_derived_cl7402,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7401]) ).
thf(zip_derived_cl39_305,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_306,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7403,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7402,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl7404,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl7403]) ).
thf(zip_derived_cl39_307,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7405,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7404,zip_derived_cl39]) ).
thf(zip_derived_cl7406,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7405]) ).
thf(zip_derived_cl39_308,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_309,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7407,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7406,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl443_310,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl6]) ).
thf(zip_derived_cl7408,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7407,zip_derived_cl443]) ).
thf(zip_derived_cl7409,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7408]) ).
thf(zip_derived_cl39_311,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_312,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7410,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7409,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl7411,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl7410]) ).
thf(zip_derived_cl39_313,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7412,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl7411,zip_derived_cl39]) ).
thf(zip_derived_cl7413,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7412]) ).
thf(zip_derived_cl39_314,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_315,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7414,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7413,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21_316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl7416,plain,
! [X0: $i] :
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7414,zip_derived_cl21]) ).
thf(zip_derived_cl7489,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl7416]) ).
thf(zip_derived_cl451_317,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl7505,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7489,zip_derived_cl451]) ).
thf(zip_derived_cl42_318,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7750,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference(clc,[status(thm)],[zip_derived_cl7505,zip_derived_cl42]) ).
thf(zip_derived_cl7751,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7750]) ).
thf(zip_derived_cl39_319,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_320,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7752,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7751,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8815,plain,
( ( greater @ zero @ zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8761,zip_derived_cl7752]) ).
thf(mp6_1,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( X = Y ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp6_1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl8830,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8815,zip_derived_cl44]) ).
thf(zip_derived_cl8831,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8830]) ).
thf(zip_derived_cl39_321,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk_ @ X0 ) @ ( equilibrium @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl23_322,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( equilibrium @ X0 ) )
| ( ( sk_ @ X0 )
= ( equilibrium @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl23]) ).
thf(zip_derived_cl82,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ~ ( stable @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl79]) ).
thf(zip_derived_cl40_323,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl40]) ).
thf(zip_derived_cl33_324,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl53_325,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ X0 ) @ X0 )
| ( ( sk__3 @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl23]) ).
thf(zip_derived_cl56,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl53]) ).
thf(zip_derived_cl39_326,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_327,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21_328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( sk_ @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl21]) ).
thf(zip_derived_cl170,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl70]) ).
thf(zip_derived_cl21_329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl21]) ).
thf(zip_derived_cl8863,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl172]) ).
thf(zip_derived_cl24_330,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_331,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl58_332,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10378_333,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10377,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8831_334,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8830]) ).
thf(zip_derived_cl21_335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl8841,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl21]) ).
thf(zip_derived_cl10422,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10378,zip_derived_cl8841]) ).
thf(zip_derived_cl10440,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10422]) ).
thf(zip_derived_cl21_336,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl10481,plain,
! [X0: $i] :
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10440,zip_derived_cl21]) ).
thf(zip_derived_cl10583,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl10481]) ).
thf(zip_derived_cl83_337,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl40]) ).
thf(zip_derived_cl20_338,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl118,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl20]) ).
thf(zip_derived_cl19_339,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp6_1]) ).
thf(zip_derived_cl120,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl118,zip_derived_cl19]) ).
thf(zip_derived_cl10601,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl10583,zip_derived_cl120]) ).
thf(zip_derived_cl825_340,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl20]) ).
thf(zip_derived_cl10609,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10601,zip_derived_cl825]) ).
thf(zip_derived_cl10676,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10609]) ).
thf(zip_derived_cl39_341,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_342,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10677,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10676,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10678,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl10677]) ).
thf(zip_derived_cl10685,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8863,zip_derived_cl10678]) ).
thf(zip_derived_cl10691,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10685]) ).
thf(zip_derived_cl10694,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5426,zip_derived_cl10691]) ).
thf(zip_derived_cl170_343,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl70]) ).
thf(zip_derived_cl20_344,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl171,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl20]) ).
thf(zip_derived_cl11880,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10694,zip_derived_cl171]) ).
thf(zip_derived_cl444_345,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl5]) ).
thf(zip_derived_cl11881,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11880,zip_derived_cl444]) ).
thf(zip_derived_cl11882,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl11881]) ).
thf(zip_derived_cl39_346,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_347,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11883,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11882,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl11884,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl11883]) ).
thf(zip_derived_cl39_348,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11885,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl11884,zip_derived_cl39]) ).
thf(zip_derived_cl11886,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl11885]) ).
thf(zip_derived_cl39_349,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_350,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11887,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11886,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8863_351,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl172]) ).
thf(zip_derived_cl24_352,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_353,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl10601_354,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl10583,zip_derived_cl120]) ).
thf(zip_derived_cl451_355,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10608,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10601,zip_derived_cl451]) ).
thf(zip_derived_cl10697,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10608]) ).
thf(zip_derived_cl39_356,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_357,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10698,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl10697,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10699,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl10698]) ).
thf(zip_derived_cl10706,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl8863,zip_derived_cl10699]) ).
thf(zip_derived_cl10712,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10706]) ).
thf(zip_derived_cl11942,plain,
( ( greater @ zero @ zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11887,zip_derived_cl10712]) ).
thf(zip_derived_cl11966,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl11942]) ).
thf(zip_derived_cl44_358,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl12009,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11966,zip_derived_cl44]) ).
thf(zip_derived_cl43_359,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12012,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12009,zip_derived_cl43]) ).
thf(zip_derived_cl13001,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl12012]) ).
thf(zip_derived_cl39_360,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_361,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13002,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13001,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl17_362,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_positive_number_of_organizations]) ).
thf(zip_derived_cl13007,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13002,zip_derived_cl17]) ).
thf(zip_derived_cl39_363,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13026,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl13007,zip_derived_cl39]) ).
thf(zip_derived_cl16_364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( ( growth_rate @ X2 @ X1 )
= zero )
| ~ ( constant @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl13204,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ~ ( subpopulation @ efficient_producers @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13026,zip_derived_cl16]) ).
thf(zip_derived_cl12009_365,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11966,zip_derived_cl44]) ).
thf(zip_derived_cl12009_366,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11966,zip_derived_cl44]) ).
thf(zip_derived_cl5426_367,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5425,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl12009_368,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11966,zip_derived_cl44]) ).
thf(zip_derived_cl24_369,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_370,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl10440_371,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10422]) ).
thf(zip_derived_cl83_372,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl40]) ).
thf(zip_derived_cl21_373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl119,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl21]) ).
thf(zip_derived_cl10502,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10440,zip_derived_cl119]) ).
thf(zip_derived_cl58_374,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_375,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl69,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl20]) ).
thf(zip_derived_cl19_376,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp6_1]) ).
thf(zip_derived_cl73,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl19]) ).
thf(zip_derived_cl10784,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(clc,[status(thm)],[zip_derived_cl10502,zip_derived_cl73]) ).
thf(zip_derived_cl825_377,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl20]) ).
thf(zip_derived_cl10787,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10784,zip_derived_cl825]) ).
thf(zip_derived_cl10854,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10787]) ).
thf(zip_derived_cl39_378,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_379,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10855,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10854,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10856,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl10855]) ).
thf(zip_derived_cl12745,plain,
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12009,zip_derived_cl10856]) ).
thf(zip_derived_cl12931,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12745]) ).
thf(zip_derived_cl8831_380,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8830]) ).
thf(zip_derived_cl119_381,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl21]) ).
thf(zip_derived_cl8862,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl119]) ).
thf(zip_derived_cl13050,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12931,zip_derived_cl8862]) ).
thf(zip_derived_cl13052,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5426,zip_derived_cl13050]) ).
thf(zip_derived_cl14178,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12009,zip_derived_cl13052]) ).
thf(zip_derived_cl14179,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14178]) ).
thf(zip_derived_cl14213,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12009,zip_derived_cl14179]) ).
thf(zip_derived_cl120_382,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl118,zip_derived_cl19]) ).
thf(zip_derived_cl14214,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14213,zip_derived_cl120]) ).
thf(zip_derived_cl14215,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14214]) ).
thf(zip_derived_cl14238,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( subpopulation @ efficient_producers @ X0 @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13204,zip_derived_cl14215]) ).
thf(zip_derived_cl5_383,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl14239,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl14238,zip_derived_cl5]) ).
thf(zip_derived_cl14240,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl14239]) ).
thf(zip_derived_cl39_384,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_385,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_386,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14242,plain,
( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14240,zip_derived_cl39,zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl12009_387,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11966,zip_derived_cl44]) ).
thf(zip_derived_cl12009_388,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11966,zip_derived_cl44]) ).
thf(zip_derived_cl24_389,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_390,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl10784_391,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(clc,[status(thm)],[zip_derived_cl10502,zip_derived_cl73]) ).
thf(zip_derived_cl451_392,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10786,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10784,zip_derived_cl451]) ).
thf(zip_derived_cl10870,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10786]) ).
thf(zip_derived_cl39_393,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_394,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10871,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl10870,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10872,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl10871]) ).
thf(zip_derived_cl12748,plain,
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl12009,zip_derived_cl10872]) ).
thf(zip_derived_cl12934,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12748]) ).
thf(zip_derived_cl8862_395,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl119]) ).
thf(zip_derived_cl13435,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(clc,[status(thm)],[zip_derived_cl12934,zip_derived_cl8862]) ).
thf(zip_derived_cl13488,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12009,zip_derived_cl13435]) ).
thf(zip_derived_cl13489,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl13488]) ).
thf(zip_derived_cl14248,plain,
( ( greater @ zero @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14242,zip_derived_cl13489]) ).
thf(zip_derived_cl14253,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl14248]) ).
thf(zip_derived_cl44_396,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl14282,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14253,zip_derived_cl44]) ).
thf(zip_derived_cl8723_397,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8722,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl14749,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl14282,zip_derived_cl8723]) ).
thf(zip_derived_cl14282_398,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14253,zip_derived_cl44]) ).
thf(zip_derived_cl451_399,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl14304,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14282,zip_derived_cl451]) ).
thf(zip_derived_cl42_400,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16709,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14304,zip_derived_cl42]) ).
thf(zip_derived_cl0_401,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_point_in_environment]) ).
thf(zip_derived_cl38_402,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl14282_403,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14253,zip_derived_cl44]) ).
thf(zip_derived_cl43_404,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14285,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14282,zip_derived_cl43]) ).
thf(zip_derived_cl14842,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl14285]) ).
thf(zip_derived_cl39_405,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_406,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14843,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14842,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl14861,plain,
( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl14843]) ).
thf(zip_derived_cl39_407,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14862,plain,
( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14861,zip_derived_cl39]) ).
thf(zip_derived_cl16710,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16709,zip_derived_cl14862]) ).
thf(zip_derived_cl16734,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14749,zip_derived_cl16710]) ).
thf(zip_derived_cl16737,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16734]) ).
thf(zip_derived_cl25_408,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl14749_409,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl14282,zip_derived_cl8723]) ).
thf(zip_derived_cl14282_410,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14253,zip_derived_cl44]) ).
thf(zip_derived_cl390_411,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl41]) ).
thf(zip_derived_cl14298,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl14282,zip_derived_cl390]) ).
thf(zip_derived_cl14862_412,plain,
( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14861,zip_derived_cl39]) ).
thf(zip_derived_cl15132,plain,
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14298,zip_derived_cl14862]) ).
thf(zip_derived_cl15694,plain,
( ~ ( greater_or_equal @ zero @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14749,zip_derived_cl15132]) ).
thf(zip_derived_cl15707,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl15694]) ).
thf(zip_derived_cl15711,plain,
( ( zero != zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl15707]) ).
thf(zip_derived_cl15713,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl15711]) ).
thf(zip_derived_cl16787,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16737,zip_derived_cl15713]) ).
thf(zip_derived_cl21_413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl16789,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16787,zip_derived_cl21]) ).
thf(zip_derived_cl16872,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10378,zip_derived_cl16789]) ).
thf(zip_derived_cl16873,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16872]) ).
thf(zip_derived_cl171_414,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl20]) ).
thf(zip_derived_cl17032,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16873,zip_derived_cl171]) ).
thf(zip_derived_cl17041,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl17032]) ).
thf(zip_derived_cl825_415,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl20]) ).
thf(zip_derived_cl17046,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17041,zip_derived_cl825]) ).
thf(zip_derived_cl17137,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl17046]) ).
thf(zip_derived_cl39_416,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_417,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17138,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17137,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl17139,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl17138]) ).
thf(zip_derived_cl16787_418,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16737,zip_derived_cl15713]) ).
thf(zip_derived_cl172_419,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl21]) ).
thf(zip_derived_cl16812,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16787,zip_derived_cl172]) ).
thf(zip_derived_cl16822,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16812]) ).
thf(zip_derived_cl17141,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl17139,zip_derived_cl16822]) ).
thf(zip_derived_cl17143,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5426,zip_derived_cl17141]) ).
thf(zip_derived_cl171_420,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl20]) ).
thf(zip_derived_cl19010,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl17143,zip_derived_cl171]) ).
thf(zip_derived_cl444_421,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl5]) ).
thf(zip_derived_cl19011,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19010,zip_derived_cl444]) ).
thf(zip_derived_cl19019,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl19011]) ).
thf(zip_derived_cl39_422,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_423,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19020,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19019,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl19021,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl19020]) ).
thf(zip_derived_cl39_424,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19022,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl19021,zip_derived_cl39]) ).
thf(zip_derived_cl19023,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl19022]) ).
thf(zip_derived_cl39_425,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_426,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19024,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19023,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl16822_427,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16812]) ).
thf(zip_derived_cl24_428,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_429,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl16873_430,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16872]) ).
thf(zip_derived_cl119_431,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl21]) ).
thf(zip_derived_cl17025,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16873,zip_derived_cl119]) ).
thf(zip_derived_cl17034,plain,
( ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl17025]) ).
thf(zip_derived_cl73_432,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl19]) ).
thf(zip_derived_cl17189,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl17034,zip_derived_cl73]) ).
thf(zip_derived_cl451_433,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl17191,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17189,zip_derived_cl451]) ).
thf(zip_derived_cl17273,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl17191]) ).
thf(zip_derived_cl39_434,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_435,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17274,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl17273,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl17275,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl17274]) ).
thf(zip_derived_cl17283,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl16822,zip_derived_cl17275]) ).
thf(zip_derived_cl17284,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl17283]) ).
thf(zip_derived_cl19087,plain,
( ( greater @ zero @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19024,zip_derived_cl17284]) ).
thf(zip_derived_cl19120,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl19087]) ).
thf(zip_derived_cl44_436,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl19150,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19120,zip_derived_cl44]) ).
thf(zip_derived_cl43_437,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19153,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19150,zip_derived_cl43]) ).
thf(zip_derived_cl19953,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl19153]) ).
thf(zip_derived_cl39_438,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_439,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19954,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19953,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl17_440,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_positive_number_of_organizations]) ).
thf(zip_derived_cl19959,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
| ~ ( environment @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19954,zip_derived_cl17]) ).
thf(zip_derived_cl39_441,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19978,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl19959,zip_derived_cl39]) ).
thf(zip_derived_cl16_442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ X2 @ X1 ) @ zero )
| ( ( growth_rate @ X2 @ X1 )
= zero )
| ~ ( constant @ ( cardinality_at_time @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_growth_rate]) ).
thf(zip_derived_cl20173,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ~ ( subpopulation @ efficient_producers @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19978,zip_derived_cl16]) ).
thf(zip_derived_cl19150_443,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19120,zip_derived_cl44]) ).
thf(zip_derived_cl19150_444,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19120,zip_derived_cl44]) ).
thf(zip_derived_cl19150_445,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19120,zip_derived_cl44]) ).
thf(zip_derived_cl17275_446,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl17274]) ).
thf(zip_derived_cl19875,plain,
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl19150,zip_derived_cl17275]) ).
thf(zip_derived_cl19925,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl19875]) ).
thf(zip_derived_cl16787_447,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16737,zip_derived_cl15713]) ).
thf(zip_derived_cl119_448,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl21]) ).
thf(zip_derived_cl16811,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16787,zip_derived_cl119]) ).
thf(zip_derived_cl16821,plain,
( ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16811]) ).
thf(zip_derived_cl20307,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(clc,[status(thm)],[zip_derived_cl19925,zip_derived_cl16821]) ).
thf(zip_derived_cl5426_449,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5425,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_450,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl5432,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl5426,zip_derived_cl20]) ).
thf(zip_derived_cl20360,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20307,zip_derived_cl5432]) ).
thf(zip_derived_cl21048,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19150,zip_derived_cl20360]) ).
thf(zip_derived_cl21049,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl21048]) ).
thf(zip_derived_cl21075,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19150,zip_derived_cl21049]) ).
thf(zip_derived_cl120_451,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl118,zip_derived_cl19]) ).
thf(zip_derived_cl21076,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21075,zip_derived_cl120]) ).
thf(zip_derived_cl21077,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl21076]) ).
thf(zip_derived_cl21207,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( subpopulation @ efficient_producers @ X0 @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl20173,zip_derived_cl21077]) ).
thf(zip_derived_cl5_452,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_organisational]) ).
thf(zip_derived_cl21208,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl21207,zip_derived_cl5]) ).
thf(zip_derived_cl21209,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( environment @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl21208]) ).
thf(zip_derived_cl39_453,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_454,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_455,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21211,plain,
( ( ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) )
= zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21209,zip_derived_cl39,zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl19150_456,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19120,zip_derived_cl44]) ).
thf(zip_derived_cl20307_457,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(clc,[status(thm)],[zip_derived_cl19925,zip_derived_cl16821]) ).
thf(zip_derived_cl20363,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19150,zip_derived_cl20307]) ).
thf(zip_derived_cl20365,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__2 ) ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl20363]) ).
thf(zip_derived_cl21214,plain,
( ( greater @ zero @ zero )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21211,zip_derived_cl20365]) ).
thf(zip_derived_cl21219,plain,
( ( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl21214]) ).
thf(zip_derived_cl44_458,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21250,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl33_459,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl22113,plain,
( ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21250,zip_derived_cl33]) ).
thf(zip_derived_cl39_460,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_461,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22116,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl64_462,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl5419_463,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5418,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21250_464,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_465,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_466,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21855,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5419,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl73_467,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl19]) ).
thf(zip_derived_cl21250_468,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_469,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21253,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl22936,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21855,zip_derived_cl21253]) ).
thf(zip_derived_cl577_470,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( decreases @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl394,zip_derived_cl5]) ).
thf(zip_derived_cl22937,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22936,zip_derived_cl577]) ).
thf(zip_derived_cl22116_471,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl22938,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22937,zip_derived_cl22116]) ).
thf(zip_derived_cl23039,plain,
( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl22938]) ).
thf(zip_derived_cl22116_472,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl39_473,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23040,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23039,zip_derived_cl22116,zip_derived_cl39]) ).
thf(zip_derived_cl64_474,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl64_475,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl8831_476,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8830]) ).
thf(zip_derived_cl70_477,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( sk_ @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl21]) ).
thf(zip_derived_cl21250_478,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_479,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_480,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_481,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21252,plain,
! [X0: $i] :
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl22259,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl21252]) ).
thf(zip_derived_cl24_482,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl10440_483,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10422]) ).
thf(zip_derived_cl21250_484,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_485,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl22058,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10440,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl21253_486,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl22816,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl22058,zip_derived_cl21253]) ).
thf(zip_derived_cl451_487,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl22818,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22816,zip_derived_cl451]) ).
thf(zip_derived_cl22116_488,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl22850,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22818,zip_derived_cl22116]) ).
thf(zip_derived_cl22881,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl22850]) ).
thf(zip_derived_cl22883,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22259,zip_derived_cl22881]) ).
thf(zip_derived_cl22884,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl22883]) ).
thf(zip_derived_cl5432_489,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl5426,zip_derived_cl20]) ).
thf(zip_derived_cl21250_490,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_491,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_492,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21857,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl5432,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl21253_493,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl22499,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl21857,zip_derived_cl21253]) ).
thf(zip_derived_cl22955,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22884,zip_derived_cl22499]) ).
thf(zip_derived_cl444_494,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl5]) ).
thf(zip_derived_cl23032,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22955,zip_derived_cl444]) ).
thf(zip_derived_cl22116_495,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl23033,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl23032,zip_derived_cl22116]) ).
thf(zip_derived_cl24070,plain,
( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl23033]) ).
thf(zip_derived_cl22116_496,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl39_497,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24071,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24070,zip_derived_cl22116,zip_derived_cl39]) ).
thf(zip_derived_cl22884_498,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl22883]) ).
thf(zip_derived_cl24084,plain,
( ( greater @ zero @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl24071,zip_derived_cl22884]) ).
thf(zip_derived_cl24116,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl24084]) ).
thf(zip_derived_cl44_499,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24122,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl8723_500,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8722,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl24410,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl24122,zip_derived_cl8723]) ).
thf(zip_derived_cl24122_501,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl451_502,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl24144,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl24122,zip_derived_cl451]) ).
thf(zip_derived_cl42_503,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27211,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24144,zip_derived_cl42]) ).
thf(zip_derived_cl0_504,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_point_in_environment]) ).
thf(zip_derived_cl38_505,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl24122_506,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl43_507,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24125,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl24122,zip_derived_cl43]) ).
thf(zip_derived_cl24458,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl24125]) ).
thf(zip_derived_cl39_508,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_509,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24459,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24458,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl24477,plain,
( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl24459]) ).
thf(zip_derived_cl39_510,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24478,plain,
( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24477,zip_derived_cl39]) ).
thf(zip_derived_cl27212,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27211,zip_derived_cl24478]) ).
thf(zip_derived_cl27231,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl24410,zip_derived_cl27212]) ).
thf(zip_derived_cl27234,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27231]) ).
thf(zip_derived_cl25_511,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl24410_512,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl24122,zip_derived_cl8723]) ).
thf(zip_derived_cl24122_513,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl390_514,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl41]) ).
thf(zip_derived_cl24138,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl24122,zip_derived_cl390]) ).
thf(zip_derived_cl24478_515,plain,
( ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24477,zip_derived_cl39]) ).
thf(zip_derived_cl24744,plain,
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24138,zip_derived_cl24478]) ).
thf(zip_derived_cl25326,plain,
( ~ ( greater_or_equal @ zero @ zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24410,zip_derived_cl24744]) ).
thf(zip_derived_cl25339,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl25326]) ).
thf(zip_derived_cl25344,plain,
( ( zero != zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl25339]) ).
thf(zip_derived_cl25346,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl25344]) ).
thf(zip_derived_cl27243,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27234,zip_derived_cl25346]) ).
thf(zip_derived_cl21252_516,plain,
! [X0: $i] :
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl27261,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27243,zip_derived_cl21252]) ).
thf(zip_derived_cl27271,plain,
( ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27261]) ).
thf(zip_derived_cl24_517,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl33_518,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl58_519,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl58_520,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10378_521,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10377,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21_522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl10380,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10378,zip_derived_cl21]) ).
thf(zip_derived_cl10453,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl10380]) ).
thf(zip_derived_cl21_523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl10963,plain,
! [X0: $i] :
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10453,zip_derived_cl21]) ).
thf(zip_derived_cl11254,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl10963]) ).
thf(zip_derived_cl120_524,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl118,zip_derived_cl19]) ).
thf(zip_derived_cl11273,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl11254,zip_derived_cl120]) ).
thf(zip_derived_cl11274,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11273]) ).
thf(zip_derived_cl825_525,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl20]) ).
thf(zip_derived_cl11289,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11274,zip_derived_cl825]) ).
thf(zip_derived_cl11356,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl11289]) ).
thf(zip_derived_cl39_526,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_527,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11357,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11356,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl11358,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl11357]) ).
thf(zip_derived_cl21250_528,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_529,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_530,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_531,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_532,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl22083,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11358,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl27423,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27271,zip_derived_cl22083]) ).
thf(zip_derived_cl27434,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27423]) ).
thf(zip_derived_cl27243_533,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27234,zip_derived_cl25346]) ).
thf(zip_derived_cl20_534,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl27244,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27243,zip_derived_cl20]) ).
thf(zip_derived_cl27451,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27434,zip_derived_cl27244]) ).
thf(zip_derived_cl23040_535,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23039,zip_derived_cl22116,zip_derived_cl39]) ).
thf(zip_derived_cl27453,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27451,zip_derived_cl23040]) ).
thf(zip_derived_cl444_536,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl5]) ).
thf(zip_derived_cl27475,plain,
! [X0: $i] :
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27453,zip_derived_cl444]) ).
thf(zip_derived_cl22116_537,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27476,plain,
! [X0: $i] :
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27475,zip_derived_cl22116]) ).
thf(zip_derived_cl27648,plain,
( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl27476]) ).
thf(zip_derived_cl22116_538,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl39_539,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27649,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27648,zip_derived_cl22116,zip_derived_cl39]) ).
thf(zip_derived_cl24_540,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl27243_541,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27234,zip_derived_cl25346]) ).
thf(zip_derived_cl24122_542,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl24122_543,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl64_544,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl10371_545,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10370,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21250_546,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_547,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_548,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl22050,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10371,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl21253_549,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl23501,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22050,zip_derived_cl21253]) ).
thf(zip_derived_cl443_550,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl6]) ).
thf(zip_derived_cl23502,plain,
! [X0: $i] :
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23501,zip_derived_cl443]) ).
thf(zip_derived_cl22116_551,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl23503,plain,
! [X0: $i] :
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl23502,zip_derived_cl22116]) ).
thf(zip_derived_cl23522,plain,
( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl23503]) ).
thf(zip_derived_cl22116_552,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl39_553,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23523,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23522,zip_derived_cl22116,zip_derived_cl39]) ).
thf(zip_derived_cl24122_554,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl24122_555,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24116,zip_derived_cl44]) ).
thf(zip_derived_cl58_556,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl38_557,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl64_558,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl64_559,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl33_560,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl64_561,plain,
! [X0: $i] :
( ( in_environment @ sk__2 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl22_562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in_environment @ X0 @ X1 )
| ~ ( in_environment @ X0 @ X2 )
| ( greater @ X2 @ X1 )
| ( X2 = X1 )
| ( greater @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mp_times_in_environment]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ X0 ) @ X1 )
| ( X1
= ( sk__3 @ X0 ) )
| ( greater @ X1 @ ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl22]) ).
thf(zip_derived_cl462,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( X0
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl96]) ).
thf(zip_derived_cl39_563,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_564,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl465,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ X0 @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( X0
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl843,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ X0 ) )
| ( ( sk__3 @ X0 )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ X0 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl465]) ).
thf(zip_derived_cl1246,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ ( sk__3 @ X0 ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__3 @ X0 ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl843]) ).
thf(zip_derived_cl1724,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl1246]) ).
thf(zip_derived_cl39_565,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_566,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1727,plain,
( ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1724,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl21_567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl1825,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl21]) ).
thf(zip_derived_cl2592,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) )
| ( ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl1825]) ).
thf(zip_derived_cl20_568,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl3559,plain,
( ( ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ~ ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2592,zip_derived_cl20]) ).
thf(zip_derived_cl19_569,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp6_1]) ).
thf(zip_derived_cl3583,plain,
( ~ ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3559,zip_derived_cl19]) ).
thf(zip_derived_cl21250_570,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_571,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_572,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_573,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21748,plain,
( ~ ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3583,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl24419,plain,
( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24122,zip_derived_cl21748]) ).
thf(zip_derived_cl24434,plain,
( ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24419]) ).
thf(zip_derived_cl25715,plain,
( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24122,zip_derived_cl24434]) ).
thf(zip_derived_cl25716,plain,
( ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl25715]) ).
thf(zip_derived_cl25752,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23523,zip_derived_cl25716]) ).
thf(zip_derived_cl20_574,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl26978,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25752,zip_derived_cl20]) ).
thf(zip_derived_cl27000,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24122,zip_derived_cl26978]) ).
thf(zip_derived_cl27001,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27000]) ).
thf(zip_derived_cl27007,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl24122,zip_derived_cl27001]) ).
thf(zip_derived_cl27011,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27007]) ).
thf(zip_derived_cl27269,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl27243,zip_derived_cl27011]) ).
thf(zip_derived_cl27276,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27269]) ).
thf(zip_derived_cl451_575,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27292,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27276,zip_derived_cl451]) ).
thf(zip_derived_cl22116_576,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27343,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27292,zip_derived_cl22116]) ).
thf(zip_derived_cl27481,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl27343]) ).
thf(zip_derived_cl27271_577,plain,
( ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27261]) ).
thf(zip_derived_cl27483,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27481,zip_derived_cl27271]) ).
thf(zip_derived_cl27678,plain,
( ( greater @ zero @ zero )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27649,zip_derived_cl27483]) ).
thf(zip_derived_cl27693,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl27678]) ).
thf(zip_derived_cl44_578,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27695,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_579,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27775,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23040,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl22816_580,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl22058,zip_derived_cl21253]) ).
thf(zip_derived_cl27695_581,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27753,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22816,zip_derived_cl27695]) ).
thf(zip_derived_cl8831_582,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8830]) ).
thf(zip_derived_cl24_583,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl27695_584,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl825_585,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl20]) ).
thf(zip_derived_cl27850,plain,
( ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27695,zip_derived_cl825]) ).
thf(zip_derived_cl27695_586,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl22116_587,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27695_588,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27921,plain,
( ~ ( greater @ ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) ) @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater_or_equal @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27850,zip_derived_cl27695,zip_derived_cl22116,zip_derived_cl27695]) ).
thf(zip_derived_cl28043,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( greater @ ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) ) @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl27921]) ).
thf(zip_derived_cl28100,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) ) @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8831,zip_derived_cl28043]) ).
thf(zip_derived_cl28190,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27753,zip_derived_cl28100]) ).
thf(zip_derived_cl28191,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28190]) ).
thf(zip_derived_cl28255,plain,
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27775,zip_derived_cl28191]) ).
thf(zip_derived_cl27695_589,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl444_590,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl5]) ).
thf(zip_derived_cl27837,plain,
! [X0: $i] :
( ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ~ ( in_environment @ X0 @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27695,zip_derived_cl444]) ).
thf(zip_derived_cl22116_591,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27695_592,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_593,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27908,plain,
! [X0: $i] :
( ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27837,zip_derived_cl22116,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl28481,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl28255,zip_derived_cl27908]) ).
thf(zip_derived_cl28590,plain,
( ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( environment @ sk__2 )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22116,zip_derived_cl28481]) ).
thf(zip_derived_cl39_594,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28591,plain,
( ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28590,zip_derived_cl39]) ).
thf(zip_derived_cl22881_595,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl22850]) ).
thf(zip_derived_cl27695_596,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_597,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27757,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl22881,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl8831_598,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8830]) ).
thf(zip_derived_cl28646,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27757,zip_derived_cl8831]) ).
thf(zip_derived_cl28666,plain,
( ( greater @ zero @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28591,zip_derived_cl28646]) ).
thf(zip_derived_cl28667,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl28666]) ).
thf(zip_derived_cl44_599,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28670,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl451_600,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl28877,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28670,zip_derived_cl451]) ).
thf(zip_derived_cl28670_601,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28670_602,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28909,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) )
| ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28877,zip_derived_cl28670,zip_derived_cl28670]) ).
thf(zip_derived_cl28670_603,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl42_604,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__3 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28857,plain,
( ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28670,zip_derived_cl42]) ).
thf(zip_derived_cl29705,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl28909,zip_derived_cl28857]) ).
thf(zip_derived_cl7414_605,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7413,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl28670_606,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28670_607,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28800,plain,
( ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7414,zip_derived_cl28670,zip_derived_cl28670]) ).
thf(zip_derived_cl24_608,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl27695_609,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl451_610,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27838,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl27695,zip_derived_cl451]) ).
thf(zip_derived_cl27695_611,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_612,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl22116_613,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl27909,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater_or_equal @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27838,zip_derived_cl27695,zip_derived_cl27695,zip_derived_cl22116]) ).
thf(zip_derived_cl38_614,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl843_615,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ X0 ) )
| ( ( sk__3 @ X0 )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ X0 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl465]) ).
thf(zip_derived_cl1245,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl843]) ).
thf(zip_derived_cl39_616,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_617,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1249,plain,
( ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1245,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl10380_618,plain,
! [X0: $i] :
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( sk__1 @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10378,zip_derived_cl21]) ).
thf(zip_derived_cl10462,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1249,zip_derived_cl10380]) ).
thf(zip_derived_cl59_619,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl20_620,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl74,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl20]) ).
thf(zip_derived_cl19_621,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp6_1]) ).
thf(zip_derived_cl76,plain,
~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl19]) ).
thf(zip_derived_cl10479,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10462,zip_derived_cl76]) ).
thf(zip_derived_cl20_622,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp6_2]) ).
thf(zip_derived_cl11499,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10479,zip_derived_cl20]) ).
thf(zip_derived_cl19_623,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp6_1]) ).
thf(zip_derived_cl11565,plain,
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11499,zip_derived_cl19]) ).
thf(zip_derived_cl21250_624,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_625,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl21250_626,plain,
( ( sk_ @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl21219,zip_derived_cl44]) ).
thf(zip_derived_cl22097,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11565,zip_derived_cl21250,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl21253_627,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl21250,zip_derived_cl21250]) ).
thf(zip_derived_cl22558,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl22097,zip_derived_cl21253]) ).
thf(zip_derived_cl27695_628,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_629,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27750,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl22558,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl8723_630,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8722,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl28119,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl27750,zip_derived_cl8723]) ).
thf(zip_derived_cl28670_631,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28839,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl28119,zip_derived_cl28670]) ).
thf(zip_derived_cl38_632,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl27750_633,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl22558,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl7414_634,plain,
( ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7413,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl28118,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ first_movers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl27750,zip_derived_cl7414]) ).
thf(zip_derived_cl28670_635,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28838,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl28118,zip_derived_cl28670]) ).
thf(zip_derived_cl29705_636,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl28909,zip_derived_cl28857]) ).
thf(zip_derived_cl29710,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
| ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl28838,zip_derived_cl29705]) ).
thf(zip_derived_cl29713,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl29710]) ).
thf(zip_derived_cl39_637,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_638,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29714,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl29713,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl29720,plain,
( ( greater @ zero @ zero )
| ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl28839,zip_derived_cl29714]) ).
thf(zip_derived_cl29721,plain,
( ( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl29720]) ).
thf(zip_derived_cl44_639,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29722,plain,
( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl29721,zip_derived_cl44]) ).
thf(zip_derived_cl29731,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) ) @ zero )
| ~ ( greater_or_equal @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27909,zip_derived_cl29722]) ).
thf(zip_derived_cl22116_640,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl8723_641,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ ( sk__1 @ sk__2 ) ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__3 @ ( sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8722,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl28670_642,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28670_643,plain,
( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl28667,zip_derived_cl44]) ).
thf(zip_derived_cl28811,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8723,zip_derived_cl28670,zip_derived_cl28670]) ).
thf(zip_derived_cl24_644,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl451_645,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl23040_646,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23039,zip_derived_cl22116,zip_derived_cl39]) ).
thf(zip_derived_cl21_647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl23042,plain,
! [X0: $i] :
( ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( greater @ zero @ X0 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23040,zip_derived_cl21]) ).
thf(zip_derived_cl23097,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl23042]) ).
thf(zip_derived_cl22116_648,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl23099,plain,
( ~ ( greater_or_equal @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23097,zip_derived_cl22116]) ).
thf(zip_derived_cl23124,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl23099]) ).
thf(zip_derived_cl27695_649,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_650,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27695_651,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl27693,zip_derived_cl44]) ).
thf(zip_derived_cl27787,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23124,zip_derived_cl27695,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl29722_652,plain,
( ( growth_rate @ first_movers @ ( equilibrium @ sk__2 ) )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl29721,zip_derived_cl44]) ).
thf(zip_derived_cl44_653,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29727,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27787,zip_derived_cl29722,zip_derived_cl44]) ).
thf(zip_derived_cl27908_654,plain,
! [X0: $i] :
( ~ ( constant @ ( cardinality_at_time @ efficient_producers @ ( equilibrium @ sk__2 ) ) )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27837,zip_derived_cl22116,zip_derived_cl27695,zip_derived_cl27695]) ).
thf(zip_derived_cl29825,plain,
! [X0: $i] :
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl29727,zip_derived_cl27908]) ).
thf(zip_derived_cl29840,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28811,zip_derived_cl29825]) ).
thf(zip_derived_cl29988,plain,
( ~ ( environment @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl22116,zip_derived_cl29840]) ).
thf(zip_derived_cl39_655,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29989,plain,
( ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl29988,zip_derived_cl39]) ).
thf(zip_derived_cl38_656,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl22116_657,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl22113,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl28800_658,plain,
( ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7414,zip_derived_cl28670,zip_derived_cl28670]) ).
thf(zip_derived_cl29825_659,plain,
! [X0: $i] :
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl29727,zip_derived_cl27908]) ).
thf(zip_derived_cl29839,plain,
! [X0: $i] :
( ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( in_environment @ X0 @ ( equilibrium @ sk__2 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28800,zip_derived_cl29825]) ).
thf(zip_derived_cl29970,plain,
( ~ ( environment @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl22116,zip_derived_cl29839]) ).
thf(zip_derived_cl39_660,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29971,plain,
( ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl29970,zip_derived_cl39]) ).
thf(zip_derived_cl29705_661,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl28909,zip_derived_cl28857]) ).
thf(zip_derived_cl29974,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl29971,zip_derived_cl29705]) ).
thf(zip_derived_cl29976,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl29974]) ).
thf(zip_derived_cl39_662,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_663,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29977,plain,
( ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl29976,zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl30000,plain,
( ( greater @ zero @ zero )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl29989,zip_derived_cl29977]) ).
thf(zip_derived_cl30008,plain,
( ( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero )
| ( greater @ zero @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl30000]) ).
thf(zip_derived_cl44_664,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30024,plain,
( ( growth_rate @ efficient_producers @ ( equilibrium @ sk__2 ) )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl30008,zip_derived_cl44]) ).
thf(zip_derived_cl44_665,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30033,plain,
~ ( greater_or_equal @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl29731,zip_derived_cl30024,zip_derived_cl44]) ).
thf(zip_derived_cl30048,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl30033]) ).
thf(zip_derived_cl30077,plain,
( ( growth_rate @ first_movers @ ( sk__1 @ sk__2 ) )
= zero ),
inference('sup-',[status(thm)],[zip_derived_cl28800,zip_derived_cl30048]) ).
thf(zip_derived_cl30098,plain,
( ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl29705,zip_derived_cl30077]) ).
thf(zip_derived_cl28811_666,plain,
( ( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero )
| ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8723,zip_derived_cl28670,zip_derived_cl28670]) ).
thf(zip_derived_cl30048_667,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl30033]) ).
thf(zip_derived_cl30078,plain,
( ( growth_rate @ efficient_producers @ ( sk__1 @ sk__2 ) )
= zero ),
inference('sup-',[status(thm)],[zip_derived_cl28811,zip_derived_cl30048]) ).
thf(zip_derived_cl44_668,plain,
! [X0: $i] :
~ ( greater @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30156,plain,
~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl30098,zip_derived_cl30078,zip_derived_cl44]) ).
thf(zip_derived_cl30157,plain,
( ~ ( environment @ sk__2 )
| ~ ( stable @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl30156]) ).
thf(zip_derived_cl39_669,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_670,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30158,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl30157,zip_derived_cl39,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT035+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZTmBNmR1Mz true
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:53:34 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 62.01/9.64 % Solved by fo/fo4.sh.
% 62.01/9.64 % done 6517 iterations in 8.767s
% 62.01/9.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 62.01/9.64 % SZS output start Refutation
% See solution above
% 62.01/9.66
% 62.01/9.66
% 62.01/9.66 % Terminating...
% 63.04/9.69 % Runner terminated.
% 63.04/9.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------