%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT022+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PgEsr05UQV true
% Computer : n017.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 06:24:48 AM UTC 2026
% Result : Theorem 0.49s 0.85s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 370 ( 36 ~; 29 |; 7 &; 288 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 5 con; 0-4 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(constant_type,type,
constant: $i > $o ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(disbanding_rate_type,type,
disbanding_rate: $i > $i > $i ).
thf(decreases_type,type,
decreases: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(first_movers_type,type,
first_movers: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(increases_type,type,
increases: $i > $o ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(resources_type,type,
resources: $i > $i > $i ).
thf(resilience_type,type,
resilience: $i > $i ).
thf(prove_l4,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_l4]) ).
thf(zip_derived_cl6,plain,
( ( decreases @ ( resources @ sk_ @ sk__1 ) )
| ( decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a2,axiom,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) ).
thf(zip_derived_cl3,plain,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
inference(cnf,[status(esa)],[a2]) ).
thf(zip_derived_cl8,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a6,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T )
& ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
=> ( ( ( decreases @ ( resources @ E @ T ) )
=> ( increases @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) )
& ( ( constant @ ( resources @ E @ T ) )
=> ( constant @ ( difference @ ( disbanding_rate @ S1 @ T ) @ ( disbanding_rate @ S2 @ T ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( greater @ ( resilience @ X0 ) @ ( resilience @ X1 ) )
| ~ ( environment @ X2 )
| ~ ( subpopulations @ X1 @ X0 @ X2 @ X3 )
| ( increases @ ( difference @ ( disbanding_rate @ X1 @ X3 ) @ ( disbanding_rate @ X0 @ X3 ) ) )
| ~ ( decreases @ ( resources @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[a6]) ).
thf(zip_derived_cl5,plain,
( ~ ( increases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) )
| ( constant @ ( resources @ sk_ @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( decreases @ ( resources @ X0 @ sk__1 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ sk__1 )
| ~ ( environment @ X0 )
| ~ ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
| ( constant @ ( resources @ sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
( ( constant @ ( resources @ sk_ @ sk__1 ) )
| ~ ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1 )
| ~ ( decreases @ ( resources @ sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
( ~ ( decreases @ ( resources @ sk_ @ sk__1 ) )
| ~ ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
| ( constant @ ( resources @ sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
( ( constant @ ( resources @ sk_ @ sk__1 ) )
| ~ ( decreases @ ( resources @ sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl17]) ).
thf(mp_constant_not_decrease,axiom,
! [X: $i] :
( ( constant @ X )
=> ~ ( decreases @ X ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ~ ( decreases @ X0 )
| ~ ( constant @ X0 ) ),
inference(cnf,[status(esa)],[mp_constant_not_decrease]) ).
thf(zip_derived_cl21,plain,
~ ( decreases @ ( resources @ sk_ @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl25,plain,
decreases @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl21]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] :
( ~ ( decreases @ X0 )
| ~ ( constant @ X0 ) ),
inference(cnf,[status(esa)],[mp_constant_not_decrease]) ).
thf(zip_derived_cl26,plain,
~ ( constant @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl0]) ).
thf(zip_derived_cl3_002,plain,
greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
inference(cnf,[status(esa)],[a2]) ).
thf(zip_derived_cl8_003,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_004,plain,
environment @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( greater @ ( resilience @ X0 ) @ ( resilience @ X1 ) )
| ~ ( environment @ X2 )
| ~ ( subpopulations @ X1 @ X0 @ X2 @ X3 )
| ( constant @ ( difference @ ( disbanding_rate @ X1 @ X3 ) @ ( disbanding_rate @ X0 @ X3 ) ) )
| ~ ( constant @ ( resources @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[a6]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( constant @ ( resources @ sk_ @ X0 ) )
| ( constant @ ( difference @ ( disbanding_rate @ X2 @ X0 ) @ ( disbanding_rate @ X1 @ X0 ) ) )
| ~ ( subpopulations @ X2 @ X1 @ sk_ @ X0 )
| ~ ( greater @ ( resilience @ X1 ) @ ( resilience @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
( ~ ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) )
| ( constant @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) )
| ~ ( constant @ ( resources @ sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
( ~ ( constant @ ( resources @ sk_ @ sk__1 ) )
| ( constant @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).
thf(zip_derived_cl7,plain,
( ( decreases @ ( resources @ sk_ @ sk__1 ) )
| ( constant @ ( resources @ sk_ @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_005,plain,
~ ( decreases @ ( resources @ sk_ @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
constant @ ( resources @ sk_ @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
constant @ ( difference @ ( disbanding_rate @ first_movers @ sk__1 ) @ ( disbanding_rate @ efficient_producers @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl23]) ).
thf(zip_derived_cl28,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT022+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PgEsr05UQV true
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 7 12:00:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Running portfolio for 300 s
% 0.12/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Number of cores: 8
% 0.12/0.40 % Python version: Python 3.12.3
% 0.12/0.40 % Running in FO mode
% 0.44/0.68 % Total configuration time : 435
% 0.44/0.68 % Estimated wc time : 1092
% 0.44/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.85 % Solved by fo/fo3_bce.sh.
% 0.49/0.85 % BCE start: 10
% 0.49/0.85 % BCE eliminated: 0
% 0.49/0.85 % PE start: 10
% 0.49/0.85 logic: neq
% 0.49/0.85 % PE eliminated: 4
% 0.49/0.85 % done 7 iterations in 0.014s
% 0.49/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.85 % SZS output start Refutation
% See solution above
% 0.49/0.85
% 0.49/0.85
% 0.49/0.85 % Terminating...
% 1.84/0.90 % Runner terminated.
% 1.84/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------