%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q7zj0PiFTt true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:25:12 AM UTC 2026
% Result : Theorem 0.62s 1.04s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 16
% Syntax : Number of formulae : 196 ( 54 unt; 0 typ; 0 def)
% Number of atoms : 728 ( 118 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 3132 ( 453 ~; 478 |; 34 &;2147 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 203 ( 0 ^; 201 !; 2 ?; 203 :)
% Comments :
%------------------------------------------------------------------------------
thf(first_movers_type,type,
first_movers: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(resources_type,type,
resources: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(number_of_organizations_type,type,
number_of_organizations: $i > $i > $i ).
thf(environment_type,type,
environment: $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(subpopulation_type,type,
subpopulation: $i > $i > $i > $o ).
thf(decreases_type,type,
decreases: $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(constant_type,type,
constant: $i > $o ).
thf(equilibrium_type,type,
equilibrium: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(zero_type,type,
zero: $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(resilience_type,type,
resilience: $i > $i ).
thf(cardinality_at_time_type,type,
cardinality_at_time: $i > $i > $i ).
thf(an_organisation_type,type,
an_organisation: $i ).
thf(appear_type,type,
appear: $i > $i > $i ).
thf(mp_previous_negative_growth,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( ( cardinality_at_time @ efficient_producers @ T )
= zero ) )
=> ? [To: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ To ) )
& ( greater @ T @ To )
& ( in_environment @ E @ To )
& ( greater @ To @ ( appear @ efficient_producers @ E ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(mp_environment_inequality,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) )
| ( greater @ ( appear @ an_organisation @ E ) @ T ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater_or_equal @ X1 @ ( appear @ an_organisation @ X0 ) )
| ( greater @ ( appear @ an_organisation @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[mp_environment_inequality]) ).
thf(a1,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ an_organisation @ E ) ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( appear @ an_organisation @ X0 ) )
| ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[a1]) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( appear @ an_organisation @ X0 ) @ X1 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl17]) ).
thf(zip_derived_cl239,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater @ ( appear @ an_organisation @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl238]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(prove_t6,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ),
inference('cnf.neg',[status(esa)],[prove_t6]) ).
thf(zip_derived_cl25,plain,
in_environment @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_efficient_producers_exist,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( cardinality_at_time @ efficient_producers @ T )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_efficient_producers_exist]) ).
thf(zip_derived_cl226,plain,
( ~ ( environment @ sk__2 )
| ( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ sk__3 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ sk__3 ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl26]) ).
thf(zip_derived_cl23,plain,
~ ( greater @ ( cardinality_at_time @ efficient_producers @ sk__3 ) @ zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(a2,axiom,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) ).
thf(zip_derived_cl21,plain,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
inference(cnf,[status(esa)],[a2]) ).
thf(a12,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( greater @ ( resilience @ X0 ) @ ( resilience @ X1 ) )
| ~ ( environment @ X2 )
| ~ ( in_environment @ X2 @ X3 )
| ( greater @ zero @ ( growth_rate @ X1 @ X3 ) )
| ~ ( greater @ zero @ ( growth_rate @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[a12]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl20]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X2 )
| ~ ( in_environment @ X2 @ ( sk_ @ X1 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl241]) ).
thf(zip_derived_cl243,plain,
! [X0: $i,X1: $i] :
( ( zero != zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl242]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl244]) ).
thf(zip_derived_cl229_007,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl246,plain,
! [X0: $i] :
( ( zero != zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl229]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl246]) ).
thf(zip_derived_cl239_008,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater @ ( appear @ an_organisation @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl238]) ).
thf(a3,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_cl16,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)],[a3]) ).
thf(a6,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_cl18,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)],[a6]) ).
thf(zip_derived_cl249,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ( constant @ ( number_of_organizations @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).
thf(zip_derived_cl250,plain,
! [X0: $i,X1: $i] :
( ( constant @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( greater @ ( equilibrium @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl249]) ).
thf(mp_constant_not_decrease,axiom,
! [X: $i] :
( ( constant @ X )
=> ~ ( decreases @ X ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ~ ( decreases @ X0 )
| ~ ( constant @ X0 ) ),
inference(cnf,[status(esa)],[mp_constant_not_decrease]) ).
thf(zip_derived_cl259,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( decreases @ ( resources @ X0 @ X1 ) )
| ~ ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(zip_derived_cl259_009,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl13]) ).
thf(zip_derived_cl15_010,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( decreases @ ( resources @ X0 @ X1 ) )
| ~ ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(mp_non_decreasing,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
=> ? [X: $i] :
( ~ ( greater @ zero @ ( growth_rate @ X @ T ) )
& ( greater @ ( cardinality_at_time @ X @ T ) @ zero )
& ( subpopulation @ X @ E @ T ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ( subpopulation @ ( sk__1 @ X1 @ X0 ) @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_non_decreasing]) ).
thf(a9,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 ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = first_movers )
| ( X0 = efficient_producers )
| ~ ( environment @ X1 )
| ~ ( subpopulation @ X0 @ X1 @ X2 )
| ~ ( greater @ ( cardinality_at_time @ X0 @ X2 ) @ zero ) ),
inference(cnf,[status(esa)],[a9]) ).
thf(zip_derived_cl190,plain,
! [X0: $i,X1: $i] :
( ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ~ ( greater @ ( cardinality_at_time @ ( sk__1 @ X1 @ X0 ) @ X1 ) @ zero )
| ~ ( environment @ X0 )
| ( ( sk__1 @ X1 @ X0 )
= efficient_producers )
| ( ( sk__1 @ X1 @ X0 )
= first_movers ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl22]) ).
thf(zip_derived_cl262,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X1 @ X0 )
= first_movers )
| ( ( sk__1 @ X1 @ X0 )
= efficient_producers )
| ~ ( greater @ ( cardinality_at_time @ ( sk__1 @ X1 @ X0 ) @ X1 ) @ zero )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( decreases @ ( number_of_organizations @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ( greater @ ( cardinality_at_time @ ( sk__1 @ X1 @ X0 ) @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_non_decreasing]) ).
thf(zip_derived_cl263,plain,
! [X0: $i,X1: $i] :
( ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( ( sk__1 @ X1 @ X0 )
= efficient_producers )
| ( ( sk__1 @ X1 @ X0 )
= first_movers ) ),
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl6]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( decreases @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[a6]) ).
thf(zip_derived_cl264,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ X1 )
= first_movers )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( decreases @ ( resources @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl19]) ).
thf(zip_derived_cl265,plain,
! [X0: $i,X1: $i] :
( ~ ( decreases @ ( resources @ X1 @ X0 ) )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ( ( sk__1 @ X0 @ X1 )
= first_movers ) ),
inference(simplify,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ( ( sk__1 @ X0 @ X1 )
= first_movers ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl265]) ).
thf(zip_derived_cl267,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ X1 )
= first_movers )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( greater @ ( equilibrium @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl269,plain,
! [X0: $i,X1: $i] :
( ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= first_movers )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl267]) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ( ( sk__1 @ X0 @ X1 )
= first_movers )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl269]) ).
thf(zip_derived_cl263_011,plain,
! [X0: $i,X1: $i] :
( ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( ( sk__1 @ X1 @ X0 )
= efficient_producers )
| ( ( sk__1 @ X1 @ X0 )
= first_movers ) ),
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl6]) ).
thf(zip_derived_cl271,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= first_movers )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers ) ),
inference(clc,[status(thm)],[zip_derived_cl270,zip_derived_cl263]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( greater @ zero @ ( growth_rate @ ( sk__1 @ X1 @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_non_decreasing]) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ( decreases @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl5]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( decreases @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers ) ),
inference(simplify,[status(thm)],[zip_derived_cl272]) ).
thf(zip_derived_cl19_012,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( decreases @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[a6]) ).
thf(zip_derived_cl279,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( decreases @ ( resources @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl19]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i] :
( ~ ( decreases @ ( resources @ X1 @ X0 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers ) ),
inference(simplify,[status(thm)],[zip_derived_cl279]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl280]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( greater @ ( equilibrium @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl281]) ).
thf(zip_derived_cl283,plain,
! [X0: $i,X1: $i] :
( ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl282]) ).
thf(zip_derived_cl284,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl275_013,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( decreases @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers ) ),
inference(simplify,[status(thm)],[zip_derived_cl272]) ).
thf(zip_derived_cl285,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl284,zip_derived_cl275]) ).
thf(zip_derived_cl286,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( appear @ an_organisation @ X1 ) @ X0 )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl285]) ).
thf(zip_derived_cl287,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( sk__1 @ X0 @ X1 )
= efficient_producers )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X0 )
| ( greater @ ( appear @ an_organisation @ X1 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl286]) ).
thf(zip_derived_cl288,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ( ( sk__1 @ ( sk_ @ sk__3 @ X0 ) @ X1 )
= efficient_producers )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ( greater @ ( appear @ an_organisation @ X1 ) @ ( sk_ @ sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl287]) ).
thf(zip_derived_cl5_014,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( greater @ zero @ ( growth_rate @ ( sk__1 @ X1 @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[mp_non_decreasing]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( appear @ an_organisation @ X1 ) @ ( sk_ @ sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ( decreases @ ( number_of_organizations @ X1 @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl5]) ).
thf(zip_derived_cl292,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ X0 ) ) )
| ( decreases @ ( number_of_organizations @ X1 @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ( greater @ ( appear @ an_organisation @ X1 ) @ ( sk_ @ sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl2_015,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl259_016,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl13]) ).
thf(zip_derived_cl2_017,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl15_018,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( decreases @ ( resources @ X0 @ X1 ) )
| ~ ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(zip_derived_cl2_019,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( in_environment @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
!= zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ X1 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mp_previous_negative_growth]) ).
thf(zip_derived_cl24,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl292_021,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ X0 ) ) )
| ( decreases @ ( number_of_organizations @ X1 @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ( greater @ ( appear @ an_organisation @ X1 ) @ ( sk_ @ sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl19_022,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( decreases @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( decreases @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[a6]) ).
thf(zip_derived_cl301,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( appear @ an_organisation @ X1 ) @ ( sk_ @ sk__3 @ X0 ) )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ~ ( decreases @ ( resources @ X1 @ ( sk_ @ sk__3 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl19]) ).
thf(zip_derived_cl302,plain,
! [X0: $i,X1: $i] :
( ~ ( decreases @ ( resources @ X1 @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ X0 ) ) )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ ( sk_ @ sk__3 @ X0 ) )
| ( greater @ ( appear @ an_organisation @ X1 ) @ ( sk_ @ sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl326,plain,
! [X0: $i] :
( ~ ( decreases @ ( resources @ X0 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( environment @ sk__2 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ X0 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl302]) ).
thf(zip_derived_cl26_023,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl327,plain,
! [X0: $i] :
( ~ ( decreases @ ( resources @ X0 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ X0 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl26]) ).
thf(zip_derived_cl344,plain,
! [X0: $i] :
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ~ ( decreases @ ( resources @ X0 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ X0 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl327]) ).
thf(zip_derived_cl229_024,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_025,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_026,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] :
( ( zero != zero )
| ~ ( decreases @ ( resources @ X0 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ X0 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl346,plain,
! [X0: $i] :
( ( greater @ ( appear @ an_organisation @ X0 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( in_environment @ X0 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( environment @ X0 )
| ~ ( decreases @ ( resources @ X0 @ ( sk_ @ sk__3 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl345]) ).
thf(zip_derived_cl347,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ~ ( decreases @ ( resources @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl346]) ).
thf(zip_derived_cl229_027,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_028,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_029,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_030,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348,plain,
( ( zero != zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( decreases @ ( resources @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26,zip_derived_cl26]) ).
thf(zip_derived_cl349,plain,
( ~ ( decreases @ ( resources @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl350,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl349]) ).
thf(zip_derived_cl26_031,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl26]) ).
thf(zip_derived_cl352,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl351]) ).
thf(zip_derived_cl229_032,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_033,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_034,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl353,plain,
( ( zero != zero )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl354,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl353]) ).
thf(zip_derived_cl355,plain,
( ~ ( decreases @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( environment @ sk__2 )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl354]) ).
thf(zip_derived_cl26_035,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
( ~ ( decreases @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl26]) ).
thf(zip_derived_cl357,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( decreases @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl360,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( decreases @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl357]) ).
thf(zip_derived_cl229_036,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_037,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_038,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl361,plain,
( ( zero != zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( decreases @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl362,plain,
( ~ ( decreases @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl361]) ).
thf(zip_derived_cl367,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ~ ( environment @ sk__2 )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl362]) ).
thf(zip_derived_cl26_039,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_040,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_041,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl371,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl26,zip_derived_cl26,zip_derived_cl24]) ).
thf(zip_derived_cl372,plain,
( ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl371]) ).
thf(zip_derived_cl377,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl372]) ).
thf(zip_derived_cl229_042,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_043,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_044,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378,plain,
( ( zero != zero )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl379,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl378]) ).
thf(zip_derived_cl380,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl379]) ).
thf(zip_derived_cl229_045,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_046,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_047,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl381,plain,
( ( zero != zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl380,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl382,plain,
( ~ ( greater @ ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) @ zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl383,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl382]) ).
thf(zip_derived_cl26_048,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl384,plain,
( ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl26]) ).
thf(zip_derived_cl385,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl384]) ).
thf(zip_derived_cl389,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl385]) ).
thf(zip_derived_cl229_049,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_050,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_051,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
( ( zero != zero )
| ( greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl391,plain,
greater @ ( appear @ an_organisation @ sk__2 ) @ ( sk_ @ sk__3 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl390]) ).
thf(mp_start_of_organizations,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( appear @ an_organisation @ E ) @ T ) )
=> ( ( number_of_organizations @ E @ T )
= zero ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( appear @ an_organisation @ X0 ) @ X1 )
| ( ( number_of_organizations @ X0 @ X1 )
= zero ) ),
inference(cnf,[status(esa)],[mp_start_of_organizations]) ).
thf(zip_derived_cl394,plain,
( ~ ( environment @ sk__2 )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl4]) ).
thf(zip_derived_cl26_052,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl395,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl26]) ).
thf(zip_derived_cl397,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl395]) ).
thf(zip_derived_cl229_053,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_054,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_055,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl398,plain,
( ( zero != zero )
| ( ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl399,plain,
( ( number_of_organizations @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl398]) ).
thf(mp_subpopulations,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_subpopulations]) ).
thf(mp_no_members,axiom,
! [E: $i,T: $i,X: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( ( number_of_organizations @ E @ T )
= zero )
& ( subpopulation @ X @ E @ T ) )
=> ( ( cardinality_at_time @ X @ T )
= zero ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( number_of_organizations @ X0 @ X1 )
!= zero )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ~ ( subpopulation @ X2 @ X0 @ X1 )
| ( ( cardinality_at_time @ X2 @ X1 )
= zero ) ),
inference(cnf,[status(esa)],[mp_no_members]) ).
thf(zip_derived_cl191,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
= zero )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( ( number_of_organizations @ X0 @ X1 )
!= zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i] :
( ( ( number_of_organizations @ X0 @ X1 )
!= zero )
| ( ( cardinality_at_time @ efficient_producers @ X1 )
= zero )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl401,plain,
( ( zero != zero )
| ( ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) )
= zero )
| ~ ( environment @ sk__2 )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl237]) ).
thf(zip_derived_cl26_056,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414,plain,
( ( zero != zero )
| ( ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) )
= zero )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl401,zip_derived_cl26]) ).
thf(zip_derived_cl415,plain,
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__3 @ sk__2 ) )
| ( ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl441,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 )
| ( ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl415]) ).
thf(zip_derived_cl229_057,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_058,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_059,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl442,plain,
( ( zero != zero )
| ( ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl443,plain,
( ( cardinality_at_time @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl442]) ).
thf(mp_empty_not_decreasing,axiom,
! [S: $i,T: $i] :
( ( ( cardinality_at_time @ S @ T )
= zero )
=> ~ ( greater @ zero @ ( growth_rate @ S @ T ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ X0 @ X1 ) )
| ( ( cardinality_at_time @ X0 @ X1 )
!= zero ) ),
inference(cnf,[status(esa)],[mp_empty_not_decreasing]) ).
thf(zip_derived_cl444,plain,
( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) )
| ( zero != zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl11]) ).
thf(zip_derived_cl450,plain,
~ ( greater @ zero @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl444]) ).
thf(zip_derived_cl457,plain,
( ( ( cardinality_at_time @ efficient_producers @ sk__3 )
!= zero )
| ~ ( greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ) )
| ~ ( environment @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl450]) ).
thf(zip_derived_cl229_060,plain,
( ( cardinality_at_time @ efficient_producers @ sk__3 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl23]) ).
thf(zip_derived_cl24_061,plain,
greater_or_equal @ sk__3 @ ( appear @ efficient_producers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_062,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl458,plain,
zero != zero,
inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl229,zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl459,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q7zj0PiFTt true
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 7 12:44:08 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.12.3
% 0.15/0.36 % Running in FO mode
% 0.55/0.76 % Total configuration time : 435
% 0.55/0.76 % Estimated wc time : 1092
% 0.55/0.76 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/1.04 % Solved by fo/fo6_bce.sh.
% 0.62/1.04 % BCE start: 27
% 0.62/1.04 % BCE eliminated: 0
% 0.62/1.04 % PE start: 27
% 0.62/1.04 logic: eq
% 0.62/1.04 % PE eliminated: 1
% 0.62/1.04 % done 104 iterations in 0.120s
% 0.62/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/1.04 % SZS output start Refutation
% See solution above
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 % Terminating...
% 2.65/1.11 % Runner terminated.
% 2.65/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------