%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT030+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VgABAEOG6y true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:25:00 AM UTC 2026
% Result : Theorem 0.50s 0.77s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 174 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 790 ( 71 ~; 80 |; 23 &; 601 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 76 ( 0 ^; 69 !; 7 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(stable_type,type,
stable: $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(first_movers_type,type,
first_movers: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(mp_earliest_time_growth_rate_exceeds,axiom,
! [E: $i] :
( ( ? [To: $i] :
( ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( greater_or_equal @ T @ To )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) )
& ( environment @ E ) )
=> ? [To: $i] :
( ( in_environment @ E @ To )
& ~ ( greater @ ( growth_rate @ efficient_producers @ To ) @ ( growth_rate @ first_movers @ To ) )
& ! [T: $i] :
( ( ( greater @ T @ To )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [T: $i,To: $i,E: $i] :
( ( ( zip_tseitin_0 @ T @ To @ E )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
=> ( zip_tseitin_1 @ T @ To @ 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,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [To: $i,E: $i] :
( ( zip_tseitin_2 @ To @ E )
=> ( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
& ~ ( greater @ ( growth_rate @ efficient_producers @ To ) @ ( growth_rate @ first_movers @ To ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [T: $i,To: $i,E: $i] :
( ( zip_tseitin_0 @ T @ To @ E )
=> ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) ) ) ).
thf(zf_stmt_6,axiom,
! [E: $i] :
( ( ( environment @ E )
& ? [To: $i] :
( ! [T: $i] : ( zip_tseitin_1 @ T @ To @ E )
& ( in_environment @ E @ To ) ) )
=> ? [To: $i] : ( zip_tseitin_2 @ To @ E ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
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_5]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__1 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl17_001,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(prove_l12,conjecture,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
& ~ ( greater @ ( growth_rate @ efficient_producers @ To ) @ ( growth_rate @ first_movers @ To ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
& ~ ( greater @ ( growth_rate @ efficient_producers @ To ) @ ( growth_rate @ first_movers @ To ) )
& ( in_environment @ E @ To ) ) ),
inference('cnf.neg',[status(esa)],[prove_l12]) ).
thf(zip_derived_cl11,plain,
stable @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
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_5]) ).
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_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk__2 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X1 @ ( sk__2 @ X0 ) @ X2 )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__3 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ sk__3 )
| ~ ( zip_tseitin_0 @ X0 @ ( sk__2 @ sk__3 ) @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ ( sk__2 @ sk__3 ) )
| ~ ( environment @ X0 )
| ~ ( environment @ sk__3 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__3 @ ( sk__1 @ ( sk__2 @ sk__3 ) @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( ~ ( environment @ sk__3 )
| ~ ( in_environment @ sk__3 @ ( sk__2 @ sk__3 ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ sk__3 ) ) )
| ~ ( environment @ sk__3 )
| ~ ( environment @ sk__3 )
| ~ ( in_environment @ sk__3 @ ( sk__2 @ sk__3 ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl21]) ).
thf(zip_derived_cl29,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ sk__3 ) ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 )
| ~ ( in_environment @ sk__3 @ ( sk__2 @ sk__3 ) )
| ~ ( environment @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl11_002,plain,
stable @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__2 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl18,plain,
( ~ ( environment @ sk__3 )
| ( in_environment @ sk__3 @ ( sk__2 @ sk__3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).
thf(zip_derived_cl10,plain,
environment @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl25,plain,
in_environment @ sk__3 @ ( sk__2 @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl10]) ).
thf(zip_derived_cl10_003,plain,
environment @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl30,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__2 @ sk__3 ) @ sk__3 ) ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl25,zip_derived_cl10]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_004,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ X1 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(zip_derived_cl32,plain,
( ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 )
| ~ ( environment @ sk__3 )
| ~ ( in_environment @ sk__3 @ ( sk__2 @ sk__3 ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl16]) ).
thf(zip_derived_cl10_005,plain,
environment @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl25_006,plain,
in_environment @ sk__3 @ ( sk__2 @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl10]) ).
thf(zip_derived_cl33,plain,
( ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 )
| ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl10,zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( greater @ ( sk__4 @ X0 ) @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( in_environment @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl34_007,plain,
zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( in_environment @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl35,plain,
in_environment @ sk__3 @ ( sk_ @ sk__3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl6]) ).
thf(zip_derived_cl34_008,plain,
zip_tseitin_2 @ ( sk_ @ sk__3 ) @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__3 @ ( sk__4 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( in_environment @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( zip_tseitin_2 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ sk__3 @ X1 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( zip_tseitin_2 @ X0 @ sk__3 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__4 @ X1 ) ) @ ( growth_rate @ first_movers @ ( sk__4 @ X1 ) ) )
| ~ ( greater @ ( sk__4 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__4 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__4 @ X0 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( in_environment @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( sk__4 @ X1 ) @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ sk__3 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( in_environment @ sk__3 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl12]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( greater @ ( sk__4 @ X0 ) @ ( sk_ @ sk__3 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( in_environment @ sk__3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl27]) ).
thf(zip_derived_cl38,plain,
( ~ ( greater @ ( sk__4 @ ( sk_ @ sk__3 ) ) @ ( sk_ @ sk__3 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl36]) ).
thf(zip_derived_cl40,plain,
( ~ ( in_environment @ sk__3 @ ( sk_ @ sk__3 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl38]) ).
thf(zip_derived_cl35_009,plain,
in_environment @ sk__3 @ ( sk_ @ sk__3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl6]) ).
thf(zip_derived_cl41,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__3 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
~ ( zip_tseitin_2 @ ( sk_ @ sk__3 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl5]) ).
thf(zip_derived_cl44,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT030+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VgABAEOG6y true
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 7 12:21:27 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.39 % Running in FO mode
% 0.47/0.66 % Total configuration time : 435
% 0.47/0.66 % Estimated wc time : 1092
% 0.47/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.77 % Solved by fo/fo6_bce.sh.
% 0.50/0.77 % BCE start: 15
% 0.50/0.77 % BCE eliminated: 0
% 0.50/0.77 % PE start: 15
% 0.50/0.77 logic: neq
% 0.50/0.77 % PE eliminated: 5
% 0.50/0.77 % done 16 iterations in 0.015s
% 0.50/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.77 % SZS output start Refutation
% See solution above
% 0.50/0.77
% 0.50/0.77
% 0.50/0.78 % Terminating...
% 1.40/0.81 % Runner terminated.
% 1.40/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------