%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT034+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fIgqL8DkIb true
% Computer : n001.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 06:25:01 AM UTC 2026
% Result : Theorem 0.51s 0.93s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 112 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 294 ( 15 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1495 ( 122 ~; 131 |; 31 &;1191 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 106 ( 0 ^; 106 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(selection_favors_type,type,
selection_favors: $i > $i > $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(disbanding_rate_type,type,
disbanding_rate: $i > $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(critical_point_type,type,
critical_point: $i > $i ).
thf(decreases_type,type,
decreases: $i > $o ).
thf(founding_rate_type,type,
founding_rate: $i > $i > $i ).
thf(environment_type,type,
environment: $i > $o ).
thf(appear_type,type,
appear: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(prove_t3,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( selection_favors @ first_movers @ efficient_producers @ T ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( selection_favors @ first_movers @ efficient_producers @ T ) ),
inference('cnf.neg',[status(esa)],[prove_t3]) ).
thf(zip_derived_cl28,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_symmetry_of_subpopulations,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( subpopulations @ efficient_producers @ first_movers @ E @ T ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( subpopulations @ efficient_producers @ first_movers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_symmetry_of_subpopulations]) ).
thf(zip_derived_cl212,plain,
! [X0: $i] :
( ( subpopulations @ efficient_producers @ first_movers @ sk_ @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl15]) ).
thf(zip_derived_cl28_001,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp1_high_growth_rates,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( growth_rate @ S2 @ T ) @ ( growth_rate @ S1 @ T ) ) )
=> ( selection_favors @ S2 @ S1 @ T ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
| ~ ( greater @ ( growth_rate @ X2 @ X3 ) @ ( growth_rate @ X1 @ X3 ) )
| ( selection_favors @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[mp1_high_growth_rates]) ).
thf(zip_derived_cl25,plain,
~ ( selection_favors @ first_movers @ efficient_producers @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] :
( ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) )
| ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl25]) ).
thf(zip_derived_cl219,plain,
( ~ ( subpopulations @ efficient_producers @ first_movers @ sk_ @ sk__1 )
| ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl202]) ).
thf(zip_derived_cl234,plain,
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl219]) ).
thf(mp_greater_or_equal,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl26,plain,
greater @ ( critical_point @ sk_ ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_002,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl27,plain,
greater_or_equal @ sk__1 @ ( appear @ efficient_producers @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_003,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_FM_and_EP_members_EP_appeared,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_members_EP_appeared]) ).
thf(zip_derived_cl213,plain,
! [X0: $i] :
( ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl16]) ).
thf(zip_derived_cl17,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_cl231,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 )
| ( X0
= ( appear @ efficient_producers @ sk_ ) )
| ( greater @ X0 @ ( appear @ efficient_producers @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl17]) ).
thf(zip_derived_cl28_004,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_critical_time_points,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ ( critical_point @ E ) @ T ) )
=> ( in_environment @ E @ T ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X0 @ ( critical_point @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( greater @ ( critical_point @ X0 ) @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_critical_time_points]) ).
thf(zip_derived_cl210,plain,
! [X0: $i] :
( ( in_environment @ sk_ @ X0 )
| ~ ( greater @ ( critical_point @ sk_ ) @ X0 )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ~ ( in_environment @ sk_ @ ( critical_point @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl13]) ).
thf(zip_derived_cl29,plain,
in_environment @ sk_ @ ( critical_point @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl222,plain,
! [X0: $i] :
( ( in_environment @ sk_ @ X0 )
| ~ ( greater @ ( critical_point @ sk_ ) @ X0 )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl29]) ).
thf(zip_derived_cl244,plain,
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ) )
| ( in_environment @ sk_ @ ( appear @ efficient_producers @ sk_ ) )
| ~ ( greater_or_equal @ ( appear @ efficient_producers @ sk_ ) @ ( appear @ efficient_producers @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl222]) ).
thf(zip_derived_cl28_005,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_critical_point_means_FM_and_EP,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( critical_point @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( critical_point @ E ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( critical_point @ X0 ) )
| ~ ( in_environment @ X0 @ ( critical_point @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[mp_critical_point_means_FM_and_EP]) ).
thf(zip_derived_cl204,plain,
( ~ ( in_environment @ sk_ @ ( critical_point @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl2]) ).
thf(zip_derived_cl29_006,plain,
in_environment @ sk_ @ ( critical_point @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl29]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] : ( greater_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl245,plain,
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( in_environment @ sk_ @ ( appear @ efficient_producers @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl226,zip_derived_cl220]) ).
thf(zip_derived_cl28_007,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_FM_and_EP_when_EP_appears,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ ( appear @ efficient_producers @ E ) ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ ( appear @ efficient_producers @ E ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( in_environment @ X0 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[mp_FM_and_EP_when_EP_appears]) ).
thf(zip_derived_cl205,plain,
( ~ ( in_environment @ sk_ @ ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ ( appear @ efficient_producers @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(zip_derived_cl248,plain,
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ ( appear @ efficient_producers @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl205]) ).
thf(zip_derived_cl28_008,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a10,axiom,
! [E: $i,T1: $i,T2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T1 )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T2 )
& ( greater_or_equal @ T @ T1 )
& ( greater_or_equal @ T2 @ T ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X2 )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X3 @ X2 )
| ~ ( greater_or_equal @ X1 @ X3 )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[a10]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X2 )
| ~ ( greater_or_equal @ X0 @ X2 )
| ~ ( greater_or_equal @ X2 @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl23]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i] :
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl217]) ).
thf(zip_derived_cl400,plain,
! [X0: $i] :
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( greater_or_equal @ X0 @ sk__1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl281]) ).
thf(zip_derived_cl495,plain,
! [X0: $i] :
( ~ ( greater @ X0 @ sk__1 )
| ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl400]) ).
thf(zip_derived_cl497,plain,
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl495]) ).
thf(zip_derived_cl226_009,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl29]) ).
thf(zip_derived_cl498,plain,
( ( ( critical_point @ sk_ )
= ( appear @ efficient_producers @ sk_ ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl226]) ).
thf(zip_derived_cl27_010,plain,
greater_or_equal @ sk__1 @ ( appear @ efficient_producers @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl502,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ( greater_or_equal @ sk__1 @ ( critical_point @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl498,zip_derived_cl27]) ).
thf(zip_derived_cl226_011,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl29]) ).
thf(zip_derived_cl217_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X2 )
| ~ ( greater_or_equal @ X0 @ X2 )
| ~ ( greater_or_equal @ X2 @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl23]) ).
thf(zip_derived_cl283,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 )
| ~ ( greater_or_equal @ X0 @ X1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl299,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ X0 @ ( critical_point @ sk_ ) )
| ~ ( greater_or_equal @ ( critical_point @ sk_ ) @ X0 )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl283]) ).
thf(zip_derived_cl538,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( greater_or_equal @ ( critical_point @ sk_ ) @ sk__1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl299]) ).
thf(zip_derived_cl546,plain,
( ~ ( greater_or_equal @ ( critical_point @ sk_ ) @ sk__1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl553,plain,
( ~ ( greater @ ( critical_point @ sk_ ) @ sk__1 )
| ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl546]) ).
thf(zip_derived_cl26_013,plain,
greater @ ( critical_point @ sk_ ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl554,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl26]) ).
thf(zip_derived_cl555,plain,
~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl554]) ).
thf(zip_derived_cl28_014,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a12,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( decreases @ ( difference @ ( founding_rate @ first_movers @ X1 ) @ ( founding_rate @ efficient_producers @ X1 ) ) ) ),
inference(cnf,[status(esa)],[a12]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] :
( ( decreases @ ( difference @ ( founding_rate @ first_movers @ X0 ) @ ( founding_rate @ efficient_producers @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl24]) ).
thf(mp_difference_between_founding_rates,axiom,
! [T: $i] :
( ( ( decreases @ ( difference @ ( founding_rate @ first_movers @ T ) @ ( founding_rate @ efficient_producers @ T ) ) )
& ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
=> ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X0 ) @ ( disbanding_rate @ efficient_producers @ X0 ) ) )
| ~ ( decreases @ ( difference @ ( founding_rate @ first_movers @ X0 ) @ ( founding_rate @ efficient_producers @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mp_difference_between_founding_rates]) ).
thf(zip_derived_cl298,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 )
| ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X0 ) @ ( disbanding_rate @ efficient_producers @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl4]) ).
thf(zip_derived_cl28_015,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l3,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X1 ) @ ( disbanding_rate @ efficient_producers @ X1 ) ) ) ),
inference(cnf,[status(esa)],[l3]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X0 ) @ ( disbanding_rate @ efficient_producers @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl1]) ).
thf(zip_derived_cl303,plain,
! [X0: $i] :
( ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl298,zip_derived_cl203]) ).
thf(zip_derived_cl26_016,plain,
greater @ ( critical_point @ sk_ ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_017,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_relationship_of_growth_rates,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) )
=> ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ X1 ) @ ( growth_rate @ efficient_producers @ X1 ) ) )
| ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ X1 ) @ ( growth_rate @ efficient_producers @ X1 ) ) @ zero ) ),
inference(cnf,[status(esa)],[mp_relationship_of_growth_rates]) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
( ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl20]) ).
thf(zip_derived_cl29_018,plain,
in_environment @ sk_ @ ( critical_point @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_019,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_decreasing_function,axiom,
! [E: $i,T: $i,To: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ To )
& ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ To ) @ ( growth_rate @ efficient_producers @ To ) ) @ zero )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) )
& ( greater @ To @ T ) )
=> ( ( decreases @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
=> ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ X1 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ X1 @ X2 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ X2 ) @ ( growth_rate @ efficient_producers @ X2 ) ) @ zero )
| ~ ( greater @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[mp_decreasing_function]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X1 @ X0 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ X1 ) @ ( growth_rate @ efficient_producers @ X1 ) ) @ zero )
| ~ ( in_environment @ sk_ @ X1 )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl5]) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ~ ( greater @ ( critical_point @ sk_ ) @ X0 )
| ~ ( greater_or_equal @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) @ zero )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl206]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ) )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) )
| ~ ( greater @ ( critical_point @ sk_ ) @ X0 )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl235]) ).
thf(zip_derived_cl226_020,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ ( critical_point @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl29]) ).
thf(zip_derived_cl306,plain,
! [X0: $i] :
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) )
| ~ ( greater @ ( critical_point @ sk_ ) @ X0 )
| ~ ( greater_or_equal @ X0 @ ( appear @ efficient_producers @ sk_ ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl226]) ).
thf(zip_derived_cl437,plain,
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) )
| ~ ( greater_or_equal @ sk__1 @ ( appear @ efficient_producers @ sk_ ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) @ zero )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl306]) ).
thf(zip_derived_cl27_021,plain,
greater_or_equal @ sk__1 @ ( appear @ efficient_producers @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl439,plain,
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) @ zero )
| ~ ( decreases @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl27]) ).
thf(zip_derived_cl602,plain,
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl439]) ).
thf(zip_derived_cl554_022,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl26]) ).
thf(zip_derived_cl603,plain,
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) ) )
| ( greater @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl602,zip_derived_cl554]) ).
thf(mp_negative_growth_rate_difference,axiom,
! [T: $i] :
( ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) )
<=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( greater @ zero @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mp_negative_growth_rate_difference]) ).
thf(zip_derived_cl614,plain,
( ( greater @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) @ zero )
| ( greater @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl6]) ).
thf(zip_derived_cl28_023,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1,axiom,
! [E: $i,Tc: $i] :
( ( ( environment @ E )
& ( Tc
= ( critical_point @ E ) ) )
=> ( ~ ( greater @ ( growth_rate @ efficient_producers @ Tc ) @ ( growth_rate @ first_movers @ Tc ) )
& ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater @ T @ Tc ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( X1
!= ( critical_point @ X0 ) )
| ~ ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) ) ),
inference(cnf,[status(esa)],[d1]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ( X0
!= ( critical_point @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl22]) ).
thf(zip_derived_cl221,plain,
~ ( greater @ ( growth_rate @ efficient_producers @ ( critical_point @ sk_ ) ) @ ( growth_rate @ first_movers @ ( critical_point @ sk_ ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl629,plain,
greater @ ( difference @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ) ) @ zero,
inference(clc,[status(thm)],[zip_derived_cl614,zip_derived_cl221]) ).
thf(mp_positive_growth_rate_difference,axiom,
! [T: $i] :
( ( greater @ ( difference @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) @ zero )
<=> ( greater @ ( growth_rate @ first_movers @ T ) @ ( growth_rate @ efficient_producers @ T ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( greater @ ( difference @ ( growth_rate @ first_movers @ X0 ) @ ( growth_rate @ efficient_producers @ X0 ) ) @ zero ) ),
inference(cnf,[status(esa)],[mp_positive_growth_rate_difference]) ).
thf(zip_derived_cl631,plain,
greater @ ( growth_rate @ first_movers @ sk__1 ) @ ( growth_rate @ efficient_producers @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl8]) ).
thf(zip_derived_cl634,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl555,zip_derived_cl631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT034+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fIgqL8DkIb true
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 12:36:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.46/0.66 % Total configuration time : 435
% 0.46/0.66 % Estimated wc time : 1092
% 0.46/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.93 % Solved by fo/fo6_bce.sh.
% 0.51/0.93 % BCE start: 30
% 0.51/0.93 % BCE eliminated: 0
% 0.51/0.93 % PE start: 30
% 0.51/0.93 logic: eq
% 0.51/0.93 % PE eliminated: 2
% 0.51/0.93 % done 220 iterations in 0.173s
% 0.51/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.93 % SZS output start Refutation
% See solution above
% 0.51/0.93
% 0.51/0.93
% 0.51/0.93 % Terminating...
% 0.51/0.96 % Runner terminated.
% 0.51/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------