TSTP Solution File: MGT035+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT035+1 : 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.4QvQmoehob true
% Computer : n027.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 09:20:12 EDT 2023
% Result : Theorem 3.87s 1.13s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 34
% Syntax : Number of formulae : 315 ( 60 unt; 22 typ; 0 def)
% Number of atoms : 1038 ( 352 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4246 ( 650 ~; 703 |; 25 &;2851 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 293 ( 0 ^; 289 !; 4 ?; 293 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(outcompetes_type,type,
outcompetes: $i > $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(first_movers_type,type,
first_movers: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(equilibrium_type,type,
equilibrium: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(environment_type,type,
environment: $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(stable_type,type,
stable: $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(mp_greater_or_equal,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
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_cl22,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_cl316,plain,
! [X0: $i] :
( ( greater @ ( sk__3 @ X0 ) @ X0 )
| ( ( sk__3 @ X0 )
= X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl22]) ).
thf(zip_derived_cl19,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a4,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [T: $i] :
( ( greater_or_equal @ T @ ( equilibrium @ E ) )
& ( in_environment @ E @ T ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(zip_derived_cl164,plain,
( ~ ( environment @ sk__2 )
| ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl18]) ).
thf(zip_derived_cl211,plain,
( ( sk__2 != sk__2 )
| ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl164]) ).
thf(zip_derived_cl309,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl322,plain,
( ( ( 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_cl316,zip_derived_cl309]) ).
thf(zip_derived_cl2_001,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_cl19_002,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_003,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__1 @ X0 ) @ ( equilibrium @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(zip_derived_cl163,plain,
( ~ ( environment @ sk__2 )
| ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).
thf(zip_derived_cl208,plain,
( ( sk__2 != sk__2 )
| ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl163]) ).
thf(zip_derived_cl312,plain,
greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl315,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl312]) ).
thf(zip_derived_cl19_004,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_005,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl16,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl162,plain,
( ~ ( environment @ sk__2 )
| ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl16]) ).
thf(zip_derived_cl205,plain,
( ( sk__2 != sk__2 )
| ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl162]) ).
thf(zip_derived_cl308,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
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_cl1,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_cl325,plain,
! [X0: $i] :
( ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ( X0
= ( sk_ @ sk__2 ) )
| ( greater @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl1]) ).
thf(zip_derived_cl309_006,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl332,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl325,zip_derived_cl309]) ).
thf(zip_derived_cl315_007,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl312]) ).
thf(zip_derived_cl322_008,plain,
( ( ( 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_cl316,zip_derived_cl309]) ).
thf(mp_greater_transitivity,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) ).
thf(zip_derived_cl0,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_cl348,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl0]) ).
thf(zip_derived_cl309_009,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl3_010,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl309_011,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl309_012,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl19_013,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,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(l6,axiom,
! [E: $i,T: $i] :
( ( ( greater_or_equal @ T @ ( equilibrium @ E ) )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( environment @ E ) )
=> ( ( ( greater @ zero @ ( growth_rate @ first_movers @ T ) )
& ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero ) )
| ( ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) )
& ( greater @ ( growth_rate @ first_movers @ T ) @ zero ) )
| ( ( ( growth_rate @ efficient_producers @ T )
= zero )
& ( ( growth_rate @ first_movers @ T )
= zero ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_2,axiom,
! [T: $i] :
( ( zip_tseitin_2 @ T )
=> ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_4,axiom,
! [T: $i] :
( ( zip_tseitin_1 @ T )
=> ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_6,axiom,
! [T: $i] :
( ( zip_tseitin_0 @ T )
=> ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
=> ( ( zip_tseitin_2 @ T )
| ( zip_tseitin_1 @ T )
| ( zip_tseitin_0 @ T ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
| ( zip_tseitin_2 @ X1 )
| ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_2 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ~ ( environment @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ X1 ) )
| ( zip_tseitin_2 @ X0 )
| ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl152,zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl157,zip_derived_cl13]) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk__2 != X2 )
| ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ zero )
| ~ ( environment @ X2 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X2 ) )
| ( greater @ ( growth_rate @ first_movers @ X1 ) @ zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl166]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( growth_rate @ first_movers @ X1 ) @ zero )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ zero )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= X1 )
| ( sk__2 != sk__2 )
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl184]) ).
thf(zip_derived_cl366,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ zero )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ X1 ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl368,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl366]) ).
thf(zip_derived_cl3_014,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl19_015,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_016,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_cl5,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_cl21,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_cl156,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X1 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X1 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__3 @ X1 ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ sk__2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk__2 != X2 )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ X1 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( environment @ X2 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X1 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X1 ) ) @ zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl156]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X1 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X1 ) ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ X1 ) )
| ( sk__2 != sk__2 )
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl175]) ).
thf(zip_derived_cl343,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( sk__3 @ X1 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X1 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X1 ) ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl343]) ).
thf(zip_derived_cl379,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl344]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl343_017,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( sk__3 @ X1 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X1 ) ) )
| ~ ( greater_or_equal @ ( growth_rate @ efficient_producers @ ( sk__3 @ X1 ) ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl345,plain,
! [X0: $i,X1: $i] :
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
!= zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl343]) ).
thf(zip_derived_cl1239,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl379,zip_derived_cl345]) ).
thf(zip_derived_cl1241,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl1239]) ).
thf(zip_derived_cl1242,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1241]) ).
thf(zip_derived_cl309_018,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl19_019,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_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(zip_derived_cl20_021,plain,
stable @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ~ ( environment @ sk__2 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl15]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk__2 != sk__2 )
| ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ X1 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( environment @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl161]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i] :
( ( sk__2 != sk__2 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( greater_or_equal @ X1 @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= X1 )
| ( sk__2 != sk__2 )
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl178]) ).
thf(zip_derived_cl349,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ X1 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl351,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl349]) ).
thf(zip_derived_cl0_022,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_cl356,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ X1 )
| ~ ( greater @ ( growth_rate @ first_movers @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl0]) ).
thf(zip_derived_cl344_023,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl343]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl344]) ).
thf(zip_derived_cl1472,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1242,zip_derived_cl360]) ).
thf(zip_derived_cl1481,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1472]) ).
thf(zip_derived_cl351_024,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl349]) ).
thf(zip_derived_cl309_025,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl19_026,plain,
environment @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_027,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_cl14_028,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
| ( zip_tseitin_2 @ X1 )
| ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_2 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ X1 ) )
| ( zip_tseitin_2 @ X0 )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl153,zip_derived_cl11]) ).
thf(zip_derived_cl13_029,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl160,zip_derived_cl13]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk__2 != X2 )
| ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( environment @ X2 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl172]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X1 ) )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= X1 )
| ( sk__2 != sk__2 )
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl202]) ).
thf(zip_derived_cl527,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl529,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl527]) ).
thf(zip_derived_cl0_030,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_cl624,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ X1 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl0]) ).
thf(zip_derived_cl854,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl624]) ).
thf(zip_derived_cl868,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl854]) ).
thf(zip_derived_cl351_031,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl349]) ).
thf(zip_derived_cl896,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl868,zip_derived_cl351]) ).
thf(zip_derived_cl920,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl896]) ).
thf(zip_derived_cl1482,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1481,zip_derived_cl920]) ).
thf(zip_derived_cl1483,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1482]) ).
thf(zip_derived_cl1543,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1483]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1543]) ).
thf(zip_derived_cl1566,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1565]) ).
thf(zip_derived_cl1594,plain,
( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl1566]) ).
thf(zip_derived_cl1596,plain,
( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1594]) ).
thf(zip_derived_cl348_032,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl0]) ).
thf(zip_derived_cl1599,plain,
( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1596,zip_derived_cl348]) ).
thf(zip_derived_cl1610,plain,
( ~ ( greater @ ( sk__1 @ 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 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl1599]) ).
thf(zip_derived_cl1613,plain,
( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1610]) ).
thf(zip_derived_cl332_033,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl325,zip_derived_cl309]) ).
thf(zip_derived_cl1623,plain,
( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1613,zip_derived_cl332]) ).
thf(zip_derived_cl315_034,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl312]) ).
thf(zip_derived_cl1645,plain,
( ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1623,zip_derived_cl315]) ).
thf(zip_derived_cl0_035,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_cl1655,plain,
! [X0: $i] :
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1645,zip_derived_cl0]) ).
thf(zip_derived_cl1754,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl1655]) ).
thf(zip_derived_cl1758,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1754]) ).
thf(zip_derived_cl3_036,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl4_037,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl308_038,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl308_039,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl366_040,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ zero )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ X1 ) @ zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl367,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl366]) ).
thf(zip_derived_cl344_041,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl343]) ).
thf(zip_derived_cl377,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
= zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl344]) ).
thf(zip_derived_cl345_042,plain,
! [X0: $i,X1: $i] :
( ( ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) )
!= zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl343]) ).
thf(zip_derived_cl1129,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl377,zip_derived_cl345]) ).
thf(zip_derived_cl1130,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl1129]) ).
thf(zip_derived_cl1132,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1130]) ).
thf(zip_derived_cl308_043,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl349_044,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ X1 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl350,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl349]) ).
thf(zip_derived_cl0_045,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_cl352,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ X1 )
| ~ ( greater @ ( growth_rate @ first_movers @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl0]) ).
thf(zip_derived_cl344_046,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl343]) ).
thf(zip_derived_cl358,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl344]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1132,zip_derived_cl358]) ).
thf(zip_derived_cl1150,plain,
! [X0: $i,X1: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__3 @ X0 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1141]) ).
thf(zip_derived_cl350_047,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl349]) ).
thf(zip_derived_cl308_048,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl527_049,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( growth_rate @ efficient_producers @ X1 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl528,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl527]) ).
thf(zip_derived_cl0_050,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_cl617,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ X1 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl0]) ).
thf(zip_derived_cl719,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl617]) ).
thf(zip_derived_cl732,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl719]) ).
thf(zip_derived_cl350_051,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl349]) ).
thf(zip_derived_cl755,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl350]) ).
thf(zip_derived_cl777,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ X0 @ ( equilibrium @ sk__2 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl755]) ).
thf(zip_derived_cl1328,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1150,zip_derived_cl777]) ).
thf(zip_derived_cl1330,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1328]) ).
thf(zip_derived_cl1332,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk_ @ sk__2 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1330]) ).
thf(zip_derived_cl1374,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1332]) ).
thf(zip_derived_cl308_052,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl3_053,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl22_054,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_cl1328_055,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1150,zip_derived_cl777]) ).
thf(zip_derived_cl1331,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1328]) ).
thf(zip_derived_cl308_056,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl308_057,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl1333,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1331,zip_derived_cl308,zip_derived_cl308]) ).
thf(zip_derived_cl1334,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1333]) ).
thf(zip_derived_cl1335,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1334]) ).
thf(zip_derived_cl1346,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ ( sk_ @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl1335]) ).
thf(zip_derived_cl1348,plain,
~ ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( equilibrium @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1346]) ).
thf(zip_derived_cl316_058,plain,
! [X0: $i] :
( ( greater @ ( sk__3 @ X0 ) @ X0 )
| ( ( sk__3 @ X0 )
= X0 )
| ~ ( in_environment @ sk__2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl22]) ).
thf(zip_derived_cl308_059,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl321,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk__3 @ ( sk_ @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl308]) ).
thf(zip_derived_cl0_060,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_cl346,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_cl321,zip_derived_cl0]) ).
thf(zip_derived_cl1350,plain,
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl346]) ).
thf(zip_derived_cl1393,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1374,zip_derived_cl1350]) ).
thf(zip_derived_cl1396,plain,
! [X0: $i] :
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1393]) ).
thf(zip_derived_cl1397,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1396]) ).
thf(zip_derived_cl308_061,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl1398,plain,
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1397,zip_derived_cl308]) ).
thf(zip_derived_cl1350_062,plain,
( ~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
= ( sk_ @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl346]) ).
thf(zip_derived_cl1402,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1398,zip_derived_cl1350]) ).
thf(zip_derived_cl1764,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1758,zip_derived_cl1402]) ).
thf(zip_derived_cl309_063,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl1764_064,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
= ( sk__1 @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1758,zip_derived_cl1402]) ).
thf(zip_derived_cl1483_065,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1482]) ).
thf(zip_derived_cl1784,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( sk__1 @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1764,zip_derived_cl1483]) ).
thf(zip_derived_cl312_066,plain,
greater_or_equal @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl309_067,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl1828,plain,
! [X0: $i] :
( ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1784,zip_derived_cl312,zip_derived_cl309]) ).
thf(zip_derived_cl1829,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1828]) ).
thf(zip_derived_cl1840,plain,
( ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( sk__1 @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl1829]) ).
thf(zip_derived_cl1842,plain,
( ~ ( greater @ ( sk__3 @ ( sk__1 @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1840]) ).
thf(zip_derived_cl1851,plain,
( ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1764,zip_derived_cl1842]) ).
thf(zip_derived_cl1854,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1851]) ).
thf(zip_derived_cl1863,plain,
( ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl1854]) ).
thf(zip_derived_cl1866,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1863]) ).
thf(zip_derived_cl0_068,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_cl1874,plain,
! [X0: $i] :
( ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ X0 )
| ~ ( greater @ ( sk__1 @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl0]) ).
thf(zip_derived_cl1893,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl1874]) ).
thf(zip_derived_cl1897,plain,
( ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1893]) ).
thf(zip_derived_cl1402_069,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1398,zip_derived_cl1350]) ).
thf(zip_derived_cl1912,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1897,zip_derived_cl1402]) ).
thf(zip_derived_cl315_070,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl312]) ).
thf(zip_derived_cl1915,plain,
( ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1912,zip_derived_cl315]) ).
thf(zip_derived_cl1932,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1915]) ).
thf(zip_derived_cl1402_071,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1398,zip_derived_cl1350]) ).
thf(zip_derived_cl2023,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2023_072,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2023_073,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2023_074,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2026,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
= ( equilibrium @ sk__2 ) )
| ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( equilibrium @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl2023,zip_derived_cl2023,zip_derived_cl2023,zip_derived_cl2023]) ).
thf(zip_derived_cl332_075,plain,
( ( greater @ ( sk__1 @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( greater @ ( sk_ @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl325,zip_derived_cl309]) ).
thf(zip_derived_cl2023_076,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2023_077,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2023_078,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl1402_079,plain,
~ ( greater @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1398,zip_derived_cl1350]) ).
thf(zip_derived_cl2028,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( equilibrium @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl2023,zip_derived_cl2023,zip_derived_cl2023,zip_derived_cl1402]) ).
thf(zip_derived_cl309_080,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl4_081,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl1483_082,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1482]) ).
thf(zip_derived_cl1544,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1483]) ).
thf(zip_derived_cl1546,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1544]) ).
thf(zip_derived_cl1550,plain,
! [X0: $i] :
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1546]) ).
thf(zip_derived_cl1551,plain,
! [X0: $i] :
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1550]) ).
thf(zip_derived_cl1556,plain,
( ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl1551]) ).
thf(zip_derived_cl1557,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1556]) ).
thf(zip_derived_cl2023_083,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2065,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1557,zip_derived_cl2023]) ).
thf(zip_derived_cl2100,plain,
( ( ( equilibrium @ sk__2 )
= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl2065]) ).
thf(zip_derived_cl308_084,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl4_085,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl1332_086,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk_ @ sk__2 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk_ @ sk__2 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1330]) ).
thf(zip_derived_cl1375,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1332]) ).
thf(zip_derived_cl1376,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1375]) ).
thf(zip_derived_cl1379,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1376]) ).
thf(zip_derived_cl1380,plain,
! [X0: $i] :
( ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1379]) ).
thf(zip_derived_cl1385,plain,
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl1380]) ).
thf(zip_derived_cl1387,plain,
( ( ( equilibrium @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1385]) ).
thf(zip_derived_cl1388,plain,
( ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1387]) ).
thf(zip_derived_cl2102,plain,
( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2100,zip_derived_cl1388]) ).
thf(zip_derived_cl2111,plain,
greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( equilibrium @ sk__2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2026,zip_derived_cl2102]) ).
thf(zip_derived_cl0_087,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_cl2113,plain,
! [X0: $i] :
( ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( equilibrium @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2111,zip_derived_cl0]) ).
thf(zip_derived_cl22_088,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_cl1483_089,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1482]) ).
thf(zip_derived_cl1545,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1483]) ).
thf(zip_derived_cl1547,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1545]) ).
thf(zip_derived_cl1561,plain,
( ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1547]) ).
thf(zip_derived_cl1562,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk__1 @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1561]) ).
thf(zip_derived_cl2023_090,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2066,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl2023]) ).
thf(zip_derived_cl2067,plain,
( ~ ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2066]) ).
thf(zip_derived_cl309_091,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl2023_092,plain,
( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl1932,zip_derived_cl1402]) ).
thf(zip_derived_cl2024,plain,
in_environment @ sk__2 @ ( equilibrium @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl2023]) ).
thf(zip_derived_cl2096,plain,
~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2024]) ).
thf(zip_derived_cl2117,plain,
~ ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2113,zip_derived_cl2096]) ).
thf(zip_derived_cl2028_093,plain,
( ( greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ) )
| ( ( equilibrium @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl2023,zip_derived_cl2023,zip_derived_cl2023,zip_derived_cl1402]) ).
thf(zip_derived_cl3_094,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl3_095,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl1328_096,plain,
! [X0: $i,X1: $i] :
( ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1150,zip_derived_cl777]) ).
thf(zip_derived_cl1329,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X1 )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater_or_equal @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1328]) ).
thf(zip_derived_cl1412,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( in_environment @ sk__2 @ X1 )
| ( ( sk__3 @ X1 )
!= ( sk__3 @ X0 ) )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1329]) ).
thf(zip_derived_cl1426,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ X0 )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1412]) ).
thf(zip_derived_cl1427,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__3 @ X0 ) @ ( equilibrium @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ X0 ) )
| ~ ( in_environment @ sk__2 @ X0 )
| ~ ( greater @ ( sk__3 @ X0 ) @ ( sk_ @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1426]) ).
thf(zip_derived_cl1912_097,plain,
( ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( sk_ @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1897,zip_derived_cl1402]) ).
thf(zip_derived_cl1931,plain,
( ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ( ( sk__1 @ sk__2 )
= ( equilibrium @ sk__2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1912]) ).
thf(zip_derived_cl309_098,plain,
in_environment @ sk__2 @ ( sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl1938,plain,
( ( in_environment @ sk__2 @ ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1931,zip_derived_cl309]) ).
thf(zip_derived_cl1989,plain,
( ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( sk_ @ sk__2 ) )
| ( ( sk__3 @ ( sk_ @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1427,zip_derived_cl1938]) ).
thf(zip_derived_cl1995,plain,
( ( ( sk__3 @ ( equilibrium @ sk__2 ) )
!= ( sk__3 @ ( equilibrium @ sk__2 ) ) )
| ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( equilibrium @ sk__2 ) )
| ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1989]) ).
thf(zip_derived_cl1996,plain,
( ( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) )
| ~ ( greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( equilibrium @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1995]) ).
thf(zip_derived_cl2111_099,plain,
greater @ ( sk__3 @ ( equilibrium @ sk__2 ) ) @ ( equilibrium @ sk__2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2026,zip_derived_cl2102]) ).
thf(zip_derived_cl2112,plain,
( ( sk_ @ sk__2 )
!= ( equilibrium @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1996,zip_derived_cl2111]) ).
thf(zip_derived_cl2119,plain,
greater @ ( equilibrium @ sk__2 ) @ ( sk_ @ sk__2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2028,zip_derived_cl2112]) ).
thf(zip_derived_cl2120,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2117,zip_derived_cl2119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT035+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4QvQmoehob true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:52:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.59 % Total configuration time : 435
% 0.21/0.59 % Estimated wc time : 1092
% 0.21/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.87/1.13 % Solved by fo/fo3_bce.sh.
% 3.87/1.13 % BCE start: 24
% 3.87/1.13 % BCE eliminated: 0
% 3.87/1.13 % PE start: 24
% 3.87/1.13 logic: eq
% 3.87/1.13 % PE eliminated: 5
% 3.87/1.13 % done 342 iterations in 0.389s
% 3.87/1.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.87/1.13 % SZS output start Refutation
% See solution above
% 3.87/1.13
% 3.87/1.13
% 3.87/1.14 % Terminating...
% 4.57/1.23 % Runner terminated.
% 4.57/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------