TSTP Solution File: MGT024+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT024+1 : 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.oc9YH18j5B true
% Computer : n009.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 0.52s 0.75s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 33
% Syntax : Number of formulae : 142 ( 26 unt; 22 typ; 0 def)
% Number of atoms : 385 ( 91 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1254 ( 162 ~; 221 |; 28 &; 827 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 84 ( 0 ^; 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(number_of_organizations_type,type,
number_of_organizations: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(resources_type,type,
resources: $i > $i > $i ).
thf(environment_type,type,
environment: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(equilibrium_type,type,
equilibrium: $i > $i ).
thf(constant_type,type,
constant: $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(decreases_type,type,
decreases: $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(prove_l6,conjecture,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
=> ( ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
=> ( ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) )
| ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) )
| ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_l6]) ).
thf(zip_derived_cl14,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l7,axiom,
! [E: $i,T: $i] :
( ( ( constant @ ( number_of_organizations @ E @ T ) )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( environment @ E ) )
=> ( ( ( greater @ zero @ ( growth_rate @ first_movers @ T ) )
& ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero ) )
| ( ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) )
& ( greater @ ( growth_rate @ first_movers @ T ) @ zero ) )
| ( ( ( growth_rate @ efficient_producers @ T )
= zero )
& ( ( growth_rate @ first_movers @ T )
= zero ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_2,axiom,
! [T: $i] :
( ( zip_tseitin_2 @ T )
=> ( ( ( growth_rate @ first_movers @ T )
= zero )
& ( ( growth_rate @ efficient_producers @ T )
= zero ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_4,axiom,
! [T: $i] :
( ( zip_tseitin_1 @ T )
=> ( ( greater @ ( growth_rate @ first_movers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_6,axiom,
! [T: $i] :
( ( zip_tseitin_0 @ T )
=> ( ( greater @ ( growth_rate @ efficient_producers @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ first_movers @ T ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( constant @ ( number_of_organizations @ E @ T ) ) )
=> ( ( zip_tseitin_2 @ T )
| ( zip_tseitin_1 @ T )
| ( zip_tseitin_0 @ T ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ( zip_tseitin_2 @ X1 )
| ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_2 @ X1 )
| ~ ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk_ != X1 )
| ( sk__1 != X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( constant @ ( number_of_organizations @ X1 @ X0 ) )
| ( zip_tseitin_2 @ X0 )
| ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl124]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_2 @ X0 )
| ~ ( constant @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ X0 ) )
| ( sk__1 != X0 )
| ( sk_ != X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( sk_ != X0 )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
| ~ ( environment @ X0 )
| ~ ( constant @ ( number_of_organizations @ X0 @ sk__1 ) )
| ( zip_tseitin_2 @ sk__1 )
| ( zip_tseitin_1 @ sk__1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl177,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ~ ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) )
| ~ ( environment @ sk_ )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl19,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ~ ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl19]) ).
thf(zip_derived_cl18_001,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_time_point_occur,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( in_environment @ E @ T ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( in_environment @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mp_time_point_occur]) ).
thf(zip_derived_cl135,plain,
! [X0: $i,X1: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk_ != X0 )
| ( sk__1 != X1 )
| ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).
thf(a3,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T )
& ( greater @ ( number_of_organizations @ E @ T ) @ zero ) )
=> ( ( ( greater @ ( equilibrium @ E ) @ T )
=> ( decreases @ ( resources @ E @ T ) ) )
& ( ~ ( greater @ ( equilibrium @ E ) @ T )
=> ( constant @ ( resources @ E @ T ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( constant @ ( resources @ X0 @ X1 ) )
| ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( sk__1 != X1 )
| ( sk_ != X0 )
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ( greater @ ( equilibrium @ X0 ) @ X1 )
| ( constant @ ( resources @ X0 @ X1 ) )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl135,zip_derived_cl4]) ).
thf(zip_derived_cl179,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( constant @ ( resources @ X0 @ X1 ) )
| ( greater @ ( equilibrium @ X0 ) @ X1 )
| ( sk_ != X0 )
| ( sk__1 != X1 )
| ~ ( environment @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl18_002,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_positive_number_of_organizations,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( greater @ ( number_of_organizations @ E @ T ) @ zero ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero ) ),
inference(cnf,[status(esa)],[mp_positive_number_of_organizations]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk_ != X0 )
| ( sk__1 != X1 )
| ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( sk__1 != X1 )
| ( sk_ != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl180,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( sk__1 != X1 )
| ( sk_ != X0 )
| ( greater @ ( equilibrium @ X0 ) @ X1 )
| ( constant @ ( resources @ X0 @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl160]) ).
thf(zip_derived_cl135_003,plain,
! [X0: $i,X1: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk_ != X0 )
| ( sk__1 != X1 )
| ( in_environment @ X0 @ X1 )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).
thf(a6,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( in_environment @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( number_of_organizations @ E @ T ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( number_of_organizations @ E @ T ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( constant @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[a6]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ( sk__1 != X1 )
| ( sk_ != X0 )
| ( efficient_producers != efficient_producers )
| ( first_movers != first_movers )
| ~ ( constant @ ( resources @ X0 @ X1 ) )
| ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl135,zip_derived_cl5]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i] :
( ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( constant @ ( resources @ X0 @ X1 ) )
| ( sk_ != X0 )
| ( sk__1 != X1 )
| ~ ( environment @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ~ ( environment @ sk_ )
| ( sk__1 != X0 )
| ~ ( constant @ ( resources @ sk_ @ X0 ) )
| ( constant @ ( number_of_organizations @ sk_ @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl19_004,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ( sk__1 != X0 )
| ~ ( constant @ ( resources @ sk_ @ X0 ) )
| ( constant @ ( number_of_organizations @ sk_ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl19]) ).
thf(zip_derived_cl172,plain,
( ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) )
| ~ ( constant @ ( resources @ sk_ @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl181,plain,
( ( greater @ ( equilibrium @ sk_ ) @ sk__1 )
| ( sk_ != sk_ )
| ( sk__1 != sk__1 )
| ~ ( environment @ sk_ )
| ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl172]) ).
thf(zip_derived_cl17,plain,
greater_or_equal @ sk__1 @ ( equilibrium @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_equilibrium,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( greater_or_equal @ T @ ( equilibrium @ E ) ) )
=> ~ ( greater @ ( equilibrium @ E ) @ T ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( greater_or_equal @ X1 @ ( equilibrium @ X0 ) )
| ~ ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[mp_equilibrium]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ( sk__1 != X1 )
| ( ( equilibrium @ sk_ )
!= ( equilibrium @ X0 ) )
| ~ ( greater @ ( equilibrium @ X0 ) @ X1 )
| ~ ( environment @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl2]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( greater @ ( equilibrium @ X0 ) @ sk__1 )
| ( ( equilibrium @ sk_ )
!= ( equilibrium @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl158,plain,
( ~ ( greater @ ( equilibrium @ sk_ ) @ sk__1 )
| ~ ( environment @ sk_ ) ),
inference(eq_res,[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl19_005,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
~ ( greater @ ( equilibrium @ sk_ ) @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl19]) ).
thf(zip_derived_cl19_006,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl182,plain,
( ( sk_ != sk_ )
| ( sk__1 != sk__1 )
| ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl159,zip_derived_cl19]) ).
thf(zip_derived_cl183,plain,
constant @ ( number_of_organizations @ sk_ @ sk__1 ),
inference(simplify,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl185,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl183]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( ( growth_rate @ first_movers @ X0 )
= zero )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl190,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl11]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl197,plain,
( ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl10]) ).
thf(zip_derived_cl18_007,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_008,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ( zip_tseitin_2 @ X1 )
| ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_2 @ X1 )
| ~ ( constant @ ( number_of_organizations @ X0 @ X1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( environment @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i] :
( ( first_movers != first_movers )
| ( efficient_producers != efficient_producers )
| ( sk_ != X1 )
| ( sk__1 != X0 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ~ ( environment @ X1 )
| ~ ( constant @ ( number_of_organizations @ X1 @ X0 ) )
| ( zip_tseitin_2 @ X0 )
| ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl123]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_2 @ X0 )
| ~ ( constant @ ( number_of_organizations @ X1 @ X0 ) )
| ~ ( environment @ X1 )
| ( greater @ ( growth_rate @ efficient_producers @ X0 ) @ zero )
| ( sk__1 != X0 )
| ( sk_ != X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ( sk_ != X0 )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ~ ( environment @ X0 )
| ~ ( constant @ ( number_of_organizations @ X0 @ sk__1 ) )
| ( zip_tseitin_2 @ sk__1 )
| ( zip_tseitin_1 @ sk__1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl173,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ~ ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) )
| ~ ( environment @ sk_ )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero ) ),
inference(eq_res,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl19_009,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ~ ( constant @ ( number_of_organizations @ sk_ @ sk__1 ) )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl19]) ).
thf(zip_derived_cl183_010,plain,
constant @ ( number_of_organizations @ sk_ @ sk__1 ),
inference(simplify,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl184,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl183]) ).
thf(zip_derived_cl11_011,plain,
! [X0: $i] :
( ( ( growth_rate @ first_movers @ X0 )
= zero )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl186,plain,
( ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl11]) ).
thf(zip_derived_cl10_012,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl189,plain,
( ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl10]) ).
thf(zip_derived_cl14_013,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl14]) ).
thf(zip_derived_cl204,plain,
( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero ) ),
inference(clc,[status(thm)],[zip_derived_cl197,zip_derived_cl195]) ).
thf(zip_derived_cl190_014,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl11]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl196,plain,
( ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
| ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl9]) ).
thf(zip_derived_cl186_015,plain,
( ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl11]) ).
thf(zip_derived_cl9_016,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl188,plain,
( ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl9]) ).
thf(zip_derived_cl14_017,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl14]) ).
thf(zip_derived_cl202,plain,
( ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
| ( ( growth_rate @ first_movers @ sk__1 )
= zero ) ),
inference(clc,[status(thm)],[zip_derived_cl196,zip_derived_cl194]) ).
thf(zip_derived_cl15,plain,
( ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
( ( ( growth_rate @ first_movers @ sk__1 )
= zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl15]) ).
thf(zip_derived_cl205,plain,
( ( growth_rate @ first_movers @ sk__1 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl206,plain,
( ~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ~ ( greater @ zero @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl205]) ).
thf(zip_derived_cl185_018,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl183]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl191,plain,
( ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ efficient_producers @ sk__1 )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl12]) ).
thf(zip_derived_cl205_019,plain,
( ( growth_rate @ first_movers @ sk__1 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl211,plain,
( ( greater @ zero @ zero )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ efficient_producers @ sk__1 )
= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl205]) ).
thf(zip_derived_cl16,plain,
( ( ( growth_rate @ first_movers @ sk__1 )
!= zero )
| ( ( growth_rate @ efficient_producers @ sk__1 )
!= zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_020,plain,
( ( growth_rate @ first_movers @ sk__1 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl208,plain,
( ( zero != zero )
| ( ( growth_rate @ efficient_producers @ sk__1 )
!= zero ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl205]) ).
thf(zip_derived_cl209,plain,
( ( growth_rate @ efficient_producers @ sk__1 )
!= zero ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl219,plain,
( ( greater @ zero @ zero )
| ( zip_tseitin_1 @ sk__1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl211,zip_derived_cl209]) ).
thf(zip_derived_cl9_021,plain,
! [X0: $i] :
( ( greater @ ( growth_rate @ first_movers @ X0 ) @ zero )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl220,plain,
( ( greater @ zero @ zero )
| ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl9]) ).
thf(zip_derived_cl205_022,plain,
( ( growth_rate @ first_movers @ sk__1 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl222,plain,
( ( greater @ zero @ zero )
| ( greater @ zero @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl205]) ).
thf(zip_derived_cl223,plain,
greater @ zero @ zero,
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl224,plain,
~ ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl223]) ).
thf(zip_derived_cl184_023,plain,
( ( zip_tseitin_1 @ sk__1 )
| ( zip_tseitin_2 @ sk__1 )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl183]) ).
thf(zip_derived_cl12_024,plain,
! [X0: $i] :
( ( ( growth_rate @ efficient_producers @ X0 )
= zero )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl187,plain,
( ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( zip_tseitin_1 @ sk__1 )
| ( ( growth_rate @ efficient_producers @ sk__1 )
= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl12]) ).
thf(zip_derived_cl10_025,plain,
! [X0: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl193,plain,
( ( ( growth_rate @ efficient_producers @ sk__1 )
= zero )
| ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl10]) ).
thf(zip_derived_cl209_026,plain,
( ( growth_rate @ efficient_producers @ sk__1 )
!= zero ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl229,plain,
( ( greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero )
| ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl193,zip_derived_cl209]) ).
thf(zip_derived_cl15_027,plain,
( ~ ( greater @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_028,plain,
( ( growth_rate @ first_movers @ sk__1 )
= zero ),
inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl203]) ).
thf(zip_derived_cl207,plain,
( ~ ( greater @ zero @ zero )
| ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl205]) ).
thf(zip_derived_cl223_029,plain,
greater @ zero @ zero,
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl225,plain,
~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl223]) ).
thf(zip_derived_cl235,plain,
greater @ ( growth_rate @ efficient_producers @ sk__1 ) @ zero,
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl225]) ).
thf(zip_derived_cl236,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oc9YH18j5B true
% 0.13/0.34 % Computer : n009.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 06:05:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.51/0.61 % Total configuration time : 435
% 0.51/0.61 % Estimated wc time : 1092
% 0.51/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % Solved by fo/fo6_bce.sh.
% 0.52/0.75 % BCE start: 20
% 0.52/0.75 % BCE eliminated: 0
% 0.52/0.75 % PE start: 20
% 0.52/0.75 logic: eq
% 0.52/0.75 % PE eliminated: 4
% 0.52/0.75 % done 54 iterations in 0.033s
% 0.52/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.75 % SZS output start Refutation
% See solution above
% 0.52/0.75
% 0.52/0.75
% 0.52/0.75 % Terminating...
% 0.56/0.83 % Runner terminated.
% 0.56/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------