TSTP Solution File: MGT023+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3v3zsRw5T8 true
% Computer : n026.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 09:19:55 EDT 2023
% Result : Theorem 0.90s 0.77s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 29
% Syntax : Number of formulae : 101 ( 24 unt; 21 typ; 0 def)
% Number of atoms : 249 ( 33 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1117 ( 94 ~; 133 |; 21 &; 854 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 4 con; 0-4 aty)
% Number of variables : 91 ( 0 ^; 86 !; 5 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(environment_type,type,
environment: $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(critical_point_type,type,
critical_point: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(first_movers_type,type,
first_movers: $i ).
thf(stable_type,type,
stable: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $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_cl104,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_cl107,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_cl104,zip_derived_cl0]) ).
thf(prove_l5,conjecture,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ( in_environment @ E @ ( critical_point @ E ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ( in_environment @ E @ ( critical_point @ E ) ) ),
inference('cnf.neg',[status(esa)],[prove_l5]) ).
thf(zip_derived_cl14,plain,
stable @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
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_cl12,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk__3 @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl105,plain,
( ~ ( environment @ sk__4 )
| ( in_environment @ sk__4 @ ( sk__3 @ sk__4 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl13,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl148,plain,
in_environment @ sk__4 @ ( sk__3 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl13]) ).
thf(zip_derived_cl104_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(zip_derived_cl14_002,plain,
stable @ sk__4,
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(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk__3 @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X1 @ ( sk__3 @ 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_cl11]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X1 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( environment @ sk__4 )
| ~ ( zip_tseitin_0 @ X1 @ ( sk__3 @ sk__4 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl102]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk__1 @ X1 @ X0 )
!= X2 )
| ( X1
!= ( sk__3 @ sk__4 ) )
| ( X0 != X3 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ~ ( environment @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ X2 ) @ ( growth_rate @ first_movers @ X2 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl104,zip_derived_cl106]) ).
thf(zip_derived_cl13_003,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk__1 @ X1 @ X0 )
!= X2 )
| ( X1
!= ( sk__3 @ sk__4 ) )
| ( X0 != X3 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X2 ) @ ( growth_rate @ first_movers @ X2 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl13]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X2 )
| ( zip_tseitin_2 @ ( sk_ @ X1 ) @ X1 )
| ( X2
!= ( sk__3 @ sk__4 ) )
| ( ( sk__1 @ X2 @ X1 )
!= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ ( sk__3 @ sk__4 ) @ X0 )
!= X1 )
| ( zip_tseitin_2 @ ( sk_ @ X0 ) @ X0 )
| ~ ( in_environment @ X0 @ ( sk__3 @ sk__4 ) )
| ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 )
!= X0 )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 )
| ~ ( environment @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl156]) ).
thf(zip_derived_cl13_004,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl158,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 )
!= X0 )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl13]) ).
thf(zip_derived_cl159,plain,
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl160,plain,
( ~ ( environment @ sk__4 )
| ~ ( in_environment @ sk__4 @ ( sk__3 @ sk__4 ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl159]) ).
thf(zip_derived_cl13_005,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl148_006,plain,
in_environment @ sk__4 @ ( sk__3 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl13]) ).
thf(zip_derived_cl161,plain,
( ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl13,zip_derived_cl148]) ).
thf(zip_derived_cl162,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__1 @ ( sk__3 @ sk__4 ) @ sk__4 ) ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl161]) ).
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_007,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_cl103,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_cl164,plain,
( ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 )
| ~ ( environment @ sk__4 )
| ~ ( in_environment @ sk__4 @ ( sk__3 @ sk__4 ) )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl103]) ).
thf(zip_derived_cl13_008,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl148_009,plain,
in_environment @ sk__4 @ ( sk__3 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl13]) ).
thf(zip_derived_cl165,plain,
( ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 )
| ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl13,zip_derived_cl148]) ).
thf(zip_derived_cl166,plain,
zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
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_cl167,plain,
in_environment @ sk__4 @ ( sk_ @ sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl6]) ).
thf(zip_derived_cl166_010,plain,
zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(d1,axiom,
! [E: $i,To: $i] :
( ( ( environment @ E )
& ~ ( greater @ ( growth_rate @ efficient_producers @ To ) @ ( growth_rate @ first_movers @ To ) )
& ( in_environment @ E @ To )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) )
=> ( To
= ( critical_point @ E ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( in_environment @ X0 @ X1 )
| ( greater @ ( sk__2 @ X1 @ X0 ) @ X1 )
| ( X1
= ( critical_point @ X0 ) ) ),
inference(cnf,[status(esa)],[d1]) ).
thf(zip_derived_cl166_011,plain,
zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl166_012,plain,
zip_tseitin_2 @ ( sk_ @ sk__4 ) @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl167_013,plain,
in_environment @ sk__4 @ ( sk_ @ sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__2 @ X1 @ X0 ) )
| ( X1
= ( critical_point @ X0 ) ) ),
inference(cnf,[status(esa)],[d1]) ).
thf(zip_derived_cl168,plain,
( ~ ( environment @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl8]) ).
thf(zip_derived_cl13_014,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl169,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl13]) ).
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_cl170,plain,
! [X0: $i] :
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) )
| ~ ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl5]) ).
thf(zip_derived_cl171,plain,
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk__4 @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl170]) ).
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_cl172,plain,
! [X0: $i] :
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ~ ( greater @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) )
| ~ ( zip_tseitin_2 @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl4]) ).
thf(zip_derived_cl173,plain,
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ~ ( greater @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) @ ( sk_ @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl172]) ).
thf(zip_derived_cl174,plain,
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ~ ( in_environment @ sk__4 @ ( sk_ @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ~ ( environment @ sk__4 )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl173]) ).
thf(zip_derived_cl167_015,plain,
in_environment @ sk__4 @ ( sk_ @ sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl6]) ).
thf(zip_derived_cl13_016,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl175,plain,
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl167,zip_derived_cl13]) ).
thf(zip_derived_cl176,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ ( sk_ @ sk__4 ) @ sk__4 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ X1 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ X1 @ X0 ) ) )
| ( X1
= ( critical_point @ X0 ) ) ),
inference(cnf,[status(esa)],[d1]) ).
thf(zip_derived_cl178,plain,
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ~ ( environment @ sk__4 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ~ ( in_environment @ sk__4 @ ( sk_ @ sk__4 ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl10]) ).
thf(zip_derived_cl13_017,plain,
environment @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl167_018,plain,
in_environment @ sk__4 @ ( sk_ @ sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl6]) ).
thf(zip_derived_cl179,plain,
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl13,zip_derived_cl167]) ).
thf(zip_derived_cl180,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( sk_ @ sk__4 ) ) @ ( growth_rate @ first_movers @ ( sk_ @ sk__4 ) ) )
| ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl5_019,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_cl181,plain,
! [X0: $i] :
( ( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) )
| ~ ( zip_tseitin_2 @ ( sk_ @ sk__4 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl5]) ).
thf(zip_derived_cl182,plain,
( ( sk_ @ sk__4 )
= ( critical_point @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl181]) ).
thf(zip_derived_cl15,plain,
~ ( in_environment @ sk__4 @ ( critical_point @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl184,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl182,zip_derived_cl15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3v3zsRw5T8 true
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:41:20 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/0.77 % Solved by fo/fo6_bce.sh.
% 0.90/0.77 % BCE start: 16
% 0.90/0.77 % BCE eliminated: 0
% 0.90/0.77 % PE start: 16
% 0.90/0.77 logic: eq
% 0.90/0.77 % PE eliminated: 4
% 0.90/0.77 % done 30 iterations in 0.027s
% 0.90/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.90/0.77 % SZS output start Refutation
% See solution above
% 0.90/0.77
% 0.90/0.77
% 0.90/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.77 % Terminating...
% 1.49/0.86 % Runner terminated.
% 1.49/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------