TSTP Solution File: MGT028+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3J7TxCRHAJ true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:19:58 EDT 2023
% Result : Theorem 0.21s 0.73s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of formulae : 99 ( 9 unt; 22 typ; 0 def)
% Number of atoms : 323 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1430 ( 202 ~; 209 |; 22 &; 982 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 120 ( 0 ^; 113 !; 7 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(stable_type,type,
stable: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(appear_type,type,
appear: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(zero_type,type,
zero: $i ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(mp_first_movers_negative_growth,axiom,
! [E: $i] :
( ( ? [T1: $i] :
( ( in_environment @ E @ T1 )
& ! [T: $i] :
( ( ( greater_or_equal @ T @ T1 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) )
& ( stable @ E )
& ( environment @ E ) )
=> ? [T2: $i] :
( ( greater @ T2 @ ( appear @ efficient_producers @ E ) )
& ! [T: $i] :
( ( ( greater_or_equal @ T @ T2 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [T: $i,T1: $i,E: $i] :
( ( ( zip_tseitin_0 @ T @ T1 @ E )
=> ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) )
=> ( zip_tseitin_1 @ T @ T1 @ E ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
! [T: $i,T1: $i,E: $i] :
( ( zip_tseitin_0 @ T @ T1 @ E )
=> ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ T1 ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X1 @ X0 @ X2 )
| ( greater_or_equal @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(l11,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 ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__2 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l11]) ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [T2: $i,E: $i] :
( ( zip_tseitin_2 @ T2 @ E )
=> ( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ T2 ) )
=> ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) )
& ( greater @ T2 @ ( appear @ efficient_producers @ E ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E )
& ? [T1: $i] :
( ! [T: $i] : ( zip_tseitin_1 @ T @ T1 @ E )
& ( in_environment @ E @ T1 ) ) )
=> ? [T2: $i] : ( zip_tseitin_2 @ T2 @ E ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( greater @ X0 @ ( appear @ efficient_producers @ X1 ) )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl19]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ( greater_or_equal @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk__2 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l11]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl7]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_001,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl36]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X2 @ X1 )
| ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl19_003,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl19]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl40]) ).
thf(prove_l10,conjecture,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) )
& ( greater @ To @ ( appear @ efficient_producers @ E ) ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) )
& ( greater @ To @ ( appear @ efficient_producers @ E ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_l10]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__3 @ ( sk__4 @ X0 ) )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl47_004,plain,
! [X0: $i] :
( ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl40]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__4 @ X0 ) @ X0 )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl17_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X1 @ X0 @ X2 )
| ( greater_or_equal @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl15_006,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ X2 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( zip_tseitin_2 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) @ ( sk__2 @ X1 ) @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) @ ( sk__2 @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ( greater_or_equal @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) @ ( sk__2 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__4 @ ( sk_ @ X0 ) ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ( greater_or_equal @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl55]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__4 @ X0 ) ) )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl12]) ).
thf(zip_derived_cl7_007,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk__2 @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l11]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl7]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl13_008,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__4 @ X0 ) @ X0 )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_010,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) @ ( sk__2 @ X1 ) @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl18]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__4 @ ( sk_ @ X0 ) ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl37]) ).
thf(zip_derived_cl12_011,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__4 @ X0 ) ) )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl39]) ).
thf(zip_derived_cl13_012,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__4 @ X0 ) @ X0 )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl16_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X2 @ X1 )
| ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl18_014,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) @ ( sk__2 @ X1 ) @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ X1 @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ~ ( stable @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( stable @ X1 )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater_or_equal @ X0 @ ( sk_ @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ( subpopulations @ first_movers @ efficient_producers @ X1 @ ( sk__1 @ ( sk__2 @ X1 ) @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__4 @ ( sk_ @ X0 ) ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl44]) ).
thf(zip_derived_cl12_015,plain,
! [X0: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk__4 @ X0 ) ) )
| ~ ( greater @ X0 @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ ( sk__2 @ X0 ) @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl12]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ~ ( greater @ ( sk_ @ X0 ) @ ( appear @ efficient_producers @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(zip_derived_cl63,plain,
( ~ ( environment @ sk__3 )
| ~ ( stable @ sk__3 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__3 @ ( sk__4 @ ( sk_ @ sk__3 ) ) )
| ~ ( environment @ sk__3 )
| ~ ( stable @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl62]) ).
thf(zip_derived_cl10,plain,
environment @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl11,plain,
stable @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl10_016,plain,
environment @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl11_017,plain,
stable @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl64,plain,
~ ( subpopulations @ first_movers @ efficient_producers @ sk__3 @ ( sk__4 @ ( sk_ @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl10,zip_derived_cl11,zip_derived_cl10,zip_derived_cl11]) ).
thf(zip_derived_cl65,plain,
~ ( greater @ ( sk_ @ sk__3 ) @ ( appear @ efficient_producers @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl64]) ).
thf(zip_derived_cl66,plain,
( ~ ( environment @ sk__3 )
| ~ ( stable @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl65]) ).
thf(zip_derived_cl10_018,plain,
environment @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl11_019,plain,
stable @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl67,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl10,zip_derived_cl11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3J7TxCRHAJ true
% 0.13/0.34 % Computer : n002.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 06:36:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % Solved by fo/fo6_bce.sh.
% 0.21/0.73 % BCE start: 15
% 0.21/0.73 % BCE eliminated: 1
% 0.21/0.73 % PE start: 14
% 0.21/0.73 logic: neq
% 0.21/0.73 % PE eliminated: 2
% 0.21/0.73 % done 23 iterations in 0.024s
% 0.21/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.73 % SZS output start Refutation
% See solution above
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 0.21/0.84 % Runner terminated.
% 0.21/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------