%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT021+1 : 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.1XyGuM3eZJ true
% Computer : n016.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 06:24:47 AM UTC 2026
% Result : Theorem 0.50s 0.77s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 122 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 537 ( 73 ~; 64 |; 9 &; 380 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(difference_type,type,
difference: $i > $i > $i ).
thf(number_of_organizations_type,type,
number_of_organizations: $i > $i > $i ).
thf(resources_type,type,
resources: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(environment_type,type,
environment: $i > $o ).
thf(equilibrium_type,type,
equilibrium: $i > $i ).
thf(constant_type,type,
constant: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(zero_type,type,
zero: $i ).
thf(disbanding_rate_type,type,
disbanding_rate: $i > $i > $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(decreases_type,type,
decreases: $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(increases_type,type,
increases: $i > $o ).
thf(prove_l3,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_l3]) ).
thf(zip_derived_cl9,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mp_time_point_in_environment,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_in_environment]) ).
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_cl5,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(l4,axiom,
! [E: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ T ) @ ( disbanding_rate @ efficient_producers @ T ) ) ) ) ) ) ).
thf(zip_derived_cl6,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 ) ) )
| ~ ( constant @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[l4]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( in_environment @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X0 ) @ ( disbanding_rate @ efficient_producers @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( environment @ X0 )
| ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X1 ) @ ( disbanding_rate @ efficient_producers @ X1 ) ) )
| ~ ( environment @ X0 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl70]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ( greater @ ( equilibrium @ X0 ) @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X1 ) @ ( disbanding_rate @ efficient_producers @ X1 ) ) )
| ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(mp_environment_not_empty,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_environment_not_empty]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( environment @ X0 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X1 ) @ ( disbanding_rate @ efficient_producers @ X1 ) ) )
| ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl75,zip_derived_cl1]) ).
thf(zip_derived_cl77,plain,
( ~ ( environment @ sk_ )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) )
| ( greater @ ( equilibrium @ sk_ ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl76]) ).
thf(zip_derived_cl10,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
greater @ ( equilibrium @ sk_ ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl10,zip_derived_cl8]) ).
thf(zip_derived_cl0_001,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_in_environment]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( in_environment @ X0 @ X1 )
| ~ ( greater @ ( number_of_organizations @ X0 @ X1 ) @ zero )
| ( decreases @ ( resources @ X0 @ X1 ) )
| ~ ( greater @ ( equilibrium @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( greater @ ( equilibrium @ X1 ) @ X0 )
| ( decreases @ ( resources @ X1 @ X0 ) )
| ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ~ ( environment @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( number_of_organizations @ X1 @ X0 ) @ zero )
| ( decreases @ ( resources @ X1 @ X0 ) )
| ~ ( greater @ ( equilibrium @ X1 ) @ X0 )
| ~ ( environment @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl1_002,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_environment_not_empty]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( greater @ ( equilibrium @ X1 ) @ X0 )
| ( decreases @ ( resources @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl73,zip_derived_cl1]) ).
thf(zip_derived_cl79,plain,
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( environment @ sk_ )
| ( decreases @ ( resources @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl74]) ).
thf(zip_derived_cl9_003,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_004,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
decreases @ ( resources @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ( increases @ ( difference @ ( disbanding_rate @ first_movers @ X1 ) @ ( disbanding_rate @ efficient_producers @ X1 ) ) )
| ~ ( decreases @ ( resources @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[l4]) ).
thf(mp_increase_not_decrease,axiom,
! [X: $i] :
( ( increases @ X )
=> ~ ( decreases @ X ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( decreases @ X0 )
| ~ ( increases @ X0 ) ),
inference(cnf,[status(esa)],[mp_increase_not_decrease]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( decreases @ ( resources @ X1 @ X0 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ X0 )
| ~ ( environment @ X1 )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ X0 ) @ ( disbanding_rate @ efficient_producers @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl81,plain,
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( environment @ sk_ )
| ~ ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl69]) ).
thf(zip_derived_cl9_005,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_006,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_007,plain,
decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl9,zip_derived_cl10,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021+1 : 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.1XyGuM3eZJ true
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:07:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Running portfolio for 300 s
% 0.09/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Number of cores: 8
% 0.09/0.36 % Python version: Python 3.12.3
% 0.09/0.36 % 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
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.77 % Solved by fo/fo6_bce.sh.
% 0.50/0.77 % BCE start: 11
% 0.50/0.77 % BCE eliminated: 1
% 0.50/0.77 % PE start: 10
% 0.50/0.77 logic: neq
% 0.50/0.77 % PE eliminated: 3
% 0.50/0.77 % done 8 iterations in 0.011s
% 0.50/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.77 % SZS output start Refutation
% See solution above
% 0.50/0.77
% 0.50/0.77
% 0.50/0.77 % Terminating...
% 1.37/0.80 % Runner terminated.
% 1.37/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------