TSTP Solution File: MGT039+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT039+2 : 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.nztQ8RSXKz true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:20:27 EDT 2023
% Result : Theorem 1.57s 0.90s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 40
% Syntax : Number of formulae : 207 ( 65 unt; 22 typ; 0 def)
% Number of atoms : 464 ( 42 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1858 ( 192 ~; 229 |; 30 &;1387 @)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 147 ( 0 ^; 146 !; 1 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
thf(selection_favors_type,type,
selection_favors: $i > $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(zero_type,type,
zero: $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(critical_point_type,type,
critical_point: $i > $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(propagation_strategy_type,type,
propagation_strategy: $i > $o ).
thf(cardinality_at_time_type,type,
cardinality_at_time: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(observational_period_type,type,
observational_period: $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(end_time_type,type,
end_time: $i > $i ).
thf(environment_type,type,
environment: $i > $o ).
thf(appear_type,type,
appear: $i > $i > $i ).
thf(start_time_type,type,
start_time: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(subpopulation_type,type,
subpopulation: $i > $i > $i > $o ).
thf(slow_change_type,type,
slow_change: $i > $o ).
thf(prove_t8,conjecture,
! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ),
inference('cnf.neg',[status(esa)],[prove_t8]) ).
thf(zip_derived_cl27,plain,
~ ( selection_favors @ efficient_producers @ first_movers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_time_of_critical_point,axiom,
! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( critical_point @ E ) @ ( start_time @ E ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( greater_or_equal @ ( critical_point @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[mp_time_of_critical_point]) ).
thf(mp_greater_or_equal,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl19,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_cl36,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ( greater @ ( critical_point @ X0 ) @ ( start_time @ X0 ) )
| ( ( critical_point @ X0 )
= ( start_time @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl19]) ).
thf(mp3_favoured_trategy,axiom,
! [P: $i] :
( ( ( observational_period @ P )
& ( propagation_strategy @ first_movers )
& ( propagation_strategy @ efficient_producers )
& ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ P @ E ) )
=> ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ E ) ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ P ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( propagation_strategy @ efficient_producers )
| ~ ( propagation_strategy @ first_movers )
| ~ ( observational_period @ X0 )
| ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(cnf,[status(esa)],[mp3_favoured_trategy]) ).
thf(mp_organizational_sets2,axiom,
propagation_strategy @ efficient_producers ).
thf(zip_derived_cl8,plain,
propagation_strategy @ efficient_producers,
inference(cnf,[status(esa)],[mp_organizational_sets2]) ).
thf(mp_organizational_sets1,axiom,
propagation_strategy @ first_movers ).
thf(zip_derived_cl7,plain,
propagation_strategy @ first_movers,
inference(cnf,[status(esa)],[mp_organizational_sets1]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ~ ( observational_period @ X0 )
| ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl27_001,plain,
~ ( selection_favors @ efficient_producers @ first_movers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
( ( in_environment @ sk__2 @ ( sk_ @ sk__2 ) )
| ~ ( observational_period @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl27]) ).
thf(zip_derived_cl25,plain,
observational_period @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl25]) ).
thf(mp4_critical_point,axiom,
! [P: $i] :
( ( ( observational_period @ P )
& ( slow_change @ P ) )
=> ! [E: $i] :
( ( ( environment @ E )
& ( in_environment @ P @ E ) )
=> ? [T: $i] :
( ( greater @ T @ ( critical_point @ E ) )
& ( in_environment @ E @ T ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X1 @ X0 )
| ( greater @ ( sk__1 @ X0 ) @ ( critical_point @ X0 ) )
| ~ ( slow_change @ X1 )
| ~ ( observational_period @ X1 ) ),
inference(cnf,[status(esa)],[mp4_critical_point]) ).
thf(zip_derived_cl82,plain,
( ~ ( observational_period @ sk__2 )
| ~ ( slow_change @ sk__2 )
| ( greater @ ( sk__1 @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl5]) ).
thf(zip_derived_cl25_002,plain,
observational_period @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
slow_change @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( propagation_strategy @ efficient_producers )
| ~ ( propagation_strategy @ first_movers )
| ~ ( observational_period @ X0 )
| ( environment @ ( sk_ @ X0 ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(cnf,[status(esa)],[mp3_favoured_trategy]) ).
thf(zip_derived_cl8_003,plain,
propagation_strategy @ efficient_producers,
inference(cnf,[status(esa)],[mp_organizational_sets2]) ).
thf(zip_derived_cl7_004,plain,
propagation_strategy @ first_movers,
inference(cnf,[status(esa)],[mp_organizational_sets1]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ~ ( observational_period @ X0 )
| ( environment @ ( sk_ @ X0 ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl27_005,plain,
~ ( selection_favors @ efficient_producers @ first_movers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
( ( environment @ ( sk_ @ sk__2 ) )
| ~ ( observational_period @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl27]) ).
thf(zip_derived_cl25_006,plain,
observational_period @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl83,plain,
greater @ ( sk__1 @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl25,zip_derived_cl26,zip_derived_cl64]) ).
thf(zip_derived_cl67_007,plain,
in_environment @ sk__2 @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl25]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X1 @ X0 )
| ( in_environment @ X0 @ ( sk__1 @ X0 ) )
| ~ ( slow_change @ X1 )
| ~ ( observational_period @ X1 ) ),
inference(cnf,[status(esa)],[mp4_critical_point]) ).
thf(zip_derived_cl75,plain,
( ~ ( observational_period @ sk__2 )
| ~ ( slow_change @ sk__2 )
| ( in_environment @ ( sk_ @ sk__2 ) @ ( sk__1 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl6]) ).
thf(zip_derived_cl25_008,plain,
observational_period @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_009,plain,
slow_change @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_010,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl76,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( sk__1 @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl25,zip_derived_cl26,zip_derived_cl64]) ).
thf(mp_environment_end_point,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( greater_or_equal @ ( end_time @ E ) @ T ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater_or_equal @ ( end_time @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[mp_environment_end_point]) ).
thf(zip_derived_cl19_011,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_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ( greater @ ( end_time @ X1 ) @ X0 )
| ( ( end_time @ X1 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl19]) ).
thf(zip_derived_cl94,plain,
( ( ( end_time @ ( sk_ @ sk__2 ) )
= ( sk__1 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl40]) ).
thf(zip_derived_cl64_012,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl98,plain,
( ( ( end_time @ ( sk_ @ sk__2 ) )
= ( sk__1 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( sk__1 @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl64]) ).
thf(mp_greater_transitivity,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl107,plain,
! [X0: $i] :
( ( ( end_time @ ( sk_ @ sk__2 ) )
= ( sk__1 @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( sk__1 @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl17]) ).
thf(zip_derived_cl134,plain,
( ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ) )
| ( ( end_time @ ( sk_ @ sk__2 ) )
= ( sk__1 @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl107]) ).
thf(zip_derived_cl83_013,plain,
greater @ ( sk__1 @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl25,zip_derived_cl26,zip_derived_cl64]) ).
thf(zip_derived_cl136,plain,
( ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl134,zip_derived_cl83]) ).
thf(zip_derived_cl145,plain,
greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl17_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 )
| ( greater @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mp_greater_transitivity]) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( critical_point @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl17]) ).
thf(zip_derived_cl147,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( start_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( start_time @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl146]) ).
thf(zip_derived_cl64_015,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl149,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( start_time @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( start_time @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl64]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(mp_time_in_environment,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( start_time @ E ) )
& ( greater_or_equal @ ( end_time @ E ) @ T ) )
=> ( in_environment @ E @ T ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( start_time @ X0 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_in_environment]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X1 @ ( start_time @ X0 ) )
| ( in_environment @ X0 @ X1 )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ X1 )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl9]) ).
thf(zip_derived_cl153,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( start_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ~ ( greater_or_equal @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl34]) ).
thf(zip_derived_cl64_016,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( greater_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl156,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( start_time @ ( sk_ @ sk__2 ) ) )
| ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl64,zip_derived_cl29]) ).
thf(zip_derived_cl20_017,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl29_018,plain,
! [X0: $i] : ( greater_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl9_019,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( start_time @ X0 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_in_environment]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( start_time @ X0 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl9]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( greater @ ( end_time @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 )
| ( in_environment @ X0 @ ( start_time @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl35]) ).
thf(zip_derived_cl10_020,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater_or_equal @ ( end_time @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[mp_environment_end_point]) ).
thf(zip_derived_cl9_021,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( start_time @ X0 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_in_environment]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X1 @ ( start_time @ X0 ) )
| ~ ( environment @ X1 )
| ( in_environment @ X0 @ ( end_time @ X1 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ ( end_time @ X1 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( greater @ ( end_time @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ ( end_time @ X0 ) )
| ( in_environment @ X0 @ ( end_time @ X0 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl41]) ).
thf(zip_derived_cl29_022,plain,
! [X0: $i] : ( greater_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( greater @ ( end_time @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 )
| ( in_environment @ X0 @ ( end_time @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl29]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( end_time @ X0 ) )
| ~ ( greater @ ( end_time @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl170,plain,
( ~ ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ) )
| ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl91]) ).
thf(zip_derived_cl145_023,plain,
greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl64_024,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl184,plain,
( ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl145,zip_derived_cl64]) ).
thf(zip_derived_cl185,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(mp_subpopulations,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( subpopulation @ first_movers @ E @ T )
& ( subpopulation @ efficient_producers @ E @ T ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_subpopulations]) ).
thf(zip_derived_cl191,plain,
( ( subpopulation @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl13]) ).
thf(zip_derived_cl64_025,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl195,plain,
subpopulation @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl64]) ).
thf(zip_derived_cl185_026,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl185_027,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(mp_first_movers_exist,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( greater_or_equal @ ( cardinality_at_time @ first_movers @ T ) @ zero ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater_or_equal @ ( cardinality_at_time @ first_movers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_first_movers_exist]) ).
thf(zip_derived_cl190,plain,
( ( greater_or_equal @ ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl12]) ).
thf(zip_derived_cl64_028,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl194,plain,
greater_or_equal @ ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero,
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl64]) ).
thf(zip_derived_cl19_029,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_cl197,plain,
( ( greater @ ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl19]) ).
thf(mp_contains_FM_and_EP,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( cardinality_at_time @ first_movers @ T ) @ zero )
& ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) )
=> ( subpopulations @ first_movers @ efficient_producers @ E @ T ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( cardinality_at_time @ first_movers @ X1 ) @ zero )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_contains_FM_and_EP]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl197,zip_derived_cl11]) ).
thf(zip_derived_cl20_030,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(zip_derived_cl16_031,plain,
! [X0: $i] :
( ( greater_or_equal @ ( critical_point @ X0 ) @ ( start_time @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[mp_time_of_critical_point]) ).
thf(zip_derived_cl9_032,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( start_time @ X0 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_in_environment]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ( in_environment @ X0 @ ( critical_point @ X0 ) )
| ~ ( greater_or_equal @ ( end_time @ X0 ) @ ( critical_point @ X0 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( greater_or_equal @ ( end_time @ X0 ) @ ( critical_point @ X0 ) )
| ( in_environment @ X0 @ ( critical_point @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( greater @ ( end_time @ X0 ) @ ( critical_point @ X0 ) )
| ~ ( environment @ X0 )
| ( in_environment @ X0 @ ( critical_point @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl38]) ).
thf(mp_critical_point_after_EP,axiom,
! [E: $i] :
( ( environment @ E )
=> ( greater_or_equal @ ( critical_point @ E ) @ ( appear @ efficient_producers @ E ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( greater_or_equal @ ( critical_point @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[mp_critical_point_after_EP]) ).
thf(zip_derived_cl19_033,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_cl39,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ( greater @ ( critical_point @ X0 ) @ ( appear @ efficient_producers @ X0 ) )
| ( ( critical_point @ X0 )
= ( appear @ efficient_producers @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl146_034,plain,
! [X0: $i] :
( ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ X0 )
| ~ ( greater @ ( critical_point @ ( sk_ @ sk__2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl17]) ).
thf(zip_derived_cl148,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl146]) ).
thf(zip_derived_cl64_035,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl150,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl64]) ).
thf(zip_derived_cl20_036,plain,
! [X0: $i,X1: $i] :
( ( greater_or_equal @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_greater_or_equal]) ).
thf(t6,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater_or_equal @ T @ ( appear @ efficient_producers @ E ) ) )
=> ( greater @ ( cardinality_at_time @ efficient_producers @ T ) @ zero ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[t6]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl24]) ).
thf(zip_derived_cl222,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl114]) ).
thf(zip_derived_cl64_037,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl185_038,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl223,plain,
( ( ( critical_point @ ( sk_ @ sk__2 ) )
= ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl64,zip_derived_cl185]) ).
thf(zip_derived_cl185_039,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl10_040,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( greater_or_equal @ ( end_time @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[mp_environment_end_point]) ).
thf(zip_derived_cl24_041,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[t6]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] :
( ~ ( in_environment @ X1 @ ( appear @ efficient_producers @ X0 ) )
| ~ ( environment @ X1 )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ X1 ) ) @ zero )
| ~ ( in_environment @ X0 @ ( end_time @ X1 ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl24]) ).
thf(zip_derived_cl203,plain,
( ~ ( environment @ ( sk_ @ sk__2 ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ~ ( in_environment @ ( sk_ @ sk__2 ) @ ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl116]) ).
thf(zip_derived_cl64_042,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl64_043,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl204,plain,
( ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ ( sk_ @ sk__2 ) @ ( appear @ efficient_producers @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl231,plain,
( ~ ( in_environment @ ( sk_ @ sk__2 ) @ ( critical_point @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl204]) ).
thf(zip_derived_cl239,plain,
( ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( in_environment @ ( sk_ @ sk__2 ) @ ( critical_point @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl240,plain,
( ~ ( environment @ ( sk_ @ sk__2 ) )
| ~ ( greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ) )
| ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl239]) ).
thf(zip_derived_cl64_044,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl145_045,plain,
greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl241,plain,
greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero,
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl64,zip_derived_cl145]) ).
thf(zip_derived_cl250,plain,
! [X0: $i] :
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( in_environment @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl241]) ).
thf(zip_derived_cl361,plain,
( ~ ( environment @ ( sk_ @ sk__2 ) )
| ( subpopulations @ first_movers @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl250]) ).
thf(zip_derived_cl64_046,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl362,plain,
( ( subpopulations @ first_movers @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl64]) ).
thf(zip_derived_cl362_047,plain,
( ( subpopulations @ first_movers @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl64]) ).
thf(zip_derived_cl145_048,plain,
greater @ ( end_time @ ( sk_ @ sk__2 ) ) @ ( critical_point @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl136]) ).
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,X2: $i] :
( ~ ( environment @ X0 )
| ( X1
!= ( critical_point @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X2 ) @ ( growth_rate @ first_movers @ X2 ) )
| ~ ( greater @ X2 @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[d1]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( greater @ X0 @ ( critical_point @ X1 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl208,plain,
( ~ ( environment @ ( sk_ @ sk__2 ) )
| ( greater @ ( growth_rate @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl206]) ).
thf(zip_derived_cl64_049,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl211,plain,
( ( greater @ ( growth_rate @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl64]) ).
thf(zip_derived_cl363,plain,
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ ( growth_rate @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl211]) ).
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_cl365,plain,
! [X0: $i] :
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl0]) ).
thf(zip_derived_cl534,plain,
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ~ ( environment @ ( sk_ @ sk__2 ) )
| ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl365]) ).
thf(zip_derived_cl64_050,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl535,plain,
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl64]) ).
thf(zip_derived_cl536,plain,
( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl535]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( propagation_strategy @ efficient_producers )
| ~ ( propagation_strategy @ first_movers )
| ~ ( observational_period @ X0 )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ X0 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(cnf,[status(esa)],[mp3_favoured_trategy]) ).
thf(zip_derived_cl8_051,plain,
propagation_strategy @ efficient_producers,
inference(cnf,[status(esa)],[mp_organizational_sets2]) ).
thf(zip_derived_cl7_052,plain,
propagation_strategy @ first_movers,
inference(cnf,[status(esa)],[mp_organizational_sets1]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ~ ( observational_period @ X0 )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ X0 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl537,plain,
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( selection_favors @ efficient_producers @ first_movers @ sk__2 )
| ~ ( observational_period @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl77]) ).
thf(zip_derived_cl25_053,plain,
observational_period @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl538,plain,
( ( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero )
| ( selection_favors @ efficient_producers @ first_movers @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl25]) ).
thf(zip_derived_cl27_054,plain,
~ ( selection_favors @ efficient_producers @ first_movers @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl539,plain,
( ( cardinality_at_time @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl538,zip_derived_cl27]) ).
thf(mp2_favour_members,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulation @ S1 @ E @ T )
& ( subpopulation @ S2 @ E @ T )
& ( greater @ ( cardinality_at_time @ S1 @ T ) @ zero )
& ( ( cardinality_at_time @ S2 @ T )
= zero ) )
=> ( selection_favors @ S1 @ S2 @ T ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulation @ X1 @ X0 @ X2 )
| ~ ( subpopulation @ X3 @ X0 @ X2 )
| ~ ( greater @ ( cardinality_at_time @ X1 @ X2 ) @ zero )
| ( ( cardinality_at_time @ X3 @ X2 )
!= zero )
| ( selection_favors @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[mp2_favour_members]) ).
thf(zip_derived_cl541,plain,
! [X0: $i,X1: $i] :
( ( zero != zero )
| ( selection_favors @ X0 @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( greater @ ( cardinality_at_time @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( subpopulation @ first_movers @ X1 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( subpopulation @ X0 @ X1 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl1]) ).
thf(zip_derived_cl543,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X1 )
| ~ ( subpopulation @ X0 @ X1 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( subpopulation @ first_movers @ X1 @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( greater @ ( cardinality_at_time @ X0 @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ( selection_favors @ X0 @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl541]) ).
thf(zip_derived_cl566,plain,
( ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero )
| ~ ( subpopulation @ first_movers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl543]) ).
thf(zip_derived_cl241_055,plain,
greater @ ( cardinality_at_time @ efficient_producers @ ( end_time @ ( sk_ @ sk__2 ) ) ) @ zero,
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl64,zip_derived_cl145]) ).
thf(zip_derived_cl185_056,plain,
in_environment @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( subpopulation @ first_movers @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_subpopulations]) ).
thf(zip_derived_cl192,plain,
( ( subpopulation @ first_movers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ) )
| ~ ( environment @ ( sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl14]) ).
thf(zip_derived_cl64_057,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl196,plain,
subpopulation @ first_movers @ ( sk_ @ sk__2 ) @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl64]) ).
thf(zip_derived_cl64_058,plain,
environment @ ( sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl25]) ).
thf(zip_derived_cl570,plain,
selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl566,zip_derived_cl241,zip_derived_cl196,zip_derived_cl64]) ).
thf(zip_derived_cl77_059,plain,
! [X0: $i] :
( ~ ( observational_period @ X0 )
| ~ ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ ( sk_ @ X0 ) ) )
| ( selection_favors @ efficient_producers @ first_movers @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl573,plain,
( ( selection_favors @ efficient_producers @ first_movers @ sk__2 )
| ~ ( observational_period @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl77]) ).
thf(zip_derived_cl25_060,plain,
observational_period @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574,plain,
selection_favors @ efficient_producers @ first_movers @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl573,zip_derived_cl25]) ).
thf(zip_derived_cl575,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nztQ8RSXKz true
% 0.13/0.34 % Computer : n004.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 06:30:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.40/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.40/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.57/0.90 % Solved by fo/fo7.sh.
% 1.57/0.90 % done 201 iterations in 0.130s
% 1.57/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.57/0.90 % SZS output start Refutation
% See solution above
% 1.57/0.91
% 1.57/0.91
% 1.57/0.91 % Terminating...
% 1.77/0.98 % Runner terminated.
% 1.77/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------