TSTP Solution File: MGT032+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT032+2 : 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.72W84INDSx true
% Computer : n018.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 09:20:10 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 41 ( 10 unt; 13 typ; 0 def)
% Number of atoms : 84 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 351 ( 48 ~; 38 |; 11 &; 247 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 0 ^; 28 !; 3 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(selection_favors_type,type,
selection_favors: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(stable_type,type,
stable: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(prove_t1,conjecture,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( selection_favors @ efficient_producers @ first_movers @ T ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( selection_favors @ efficient_producers @ first_movers @ T ) )
& ( in_environment @ E @ To ) ) ),
inference('cnf.neg',[status(esa)],[prove_t1]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk__1 @ ( sk__2 @ X0 ) )
| ~ ( in_environment @ sk__1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
stable @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( greater_or_equal @ ( sk__2 @ X0 ) @ X0 )
| ~ ( in_environment @ sk__1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l1,axiom,
! [E: $i] :
( ( ( environment @ E )
& ( stable @ E ) )
=> ? [To: $i] :
( ! [T: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( greater_or_equal @ T @ To ) )
=> ( greater @ ( growth_rate @ efficient_producers @ T ) @ ( growth_rate @ first_movers @ T ) ) )
& ( in_environment @ E @ To ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( greater_or_equal @ X1 @ ( sk_ @ X0 ) )
| ( greater @ ( growth_rate @ efficient_producers @ X1 ) @ ( growth_rate @ first_movers @ X1 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ~ ( in_environment @ sk__1 @ ( sk_ @ X0 ) )
| ~ ( environment @ X0 )
| ~ ( stable @ X0 )
| ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ ( sk_ @ X0 ) ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ ( sk_ @ X0 ) ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__2 @ ( sk_ @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
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_cl5,plain,
! [X0: $i] :
( ~ ( selection_favors @ efficient_producers @ first_movers @ ( sk__2 @ X0 ) )
| ~ ( in_environment @ sk__1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk__2 @ X0 ) ) @ ( growth_rate @ first_movers @ ( sk__2 @ X0 ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ ( sk__2 @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( in_environment @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__2 @ ( sk_ @ X0 ) ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 )
| ~ ( in_environment @ sk__1 @ ( sk_ @ X0 ) )
| ~ ( in_environment @ sk__1 @ ( sk_ @ X0 ) )
| ~ ( environment @ X1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X1 @ ( sk__2 @ ( sk_ @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__2 @ ( sk_ @ sk__1 ) ) )
| ~ ( environment @ X0 )
| ~ ( in_environment @ sk__1 @ ( sk_ @ sk__1 ) )
| ~ ( in_environment @ sk__1 @ ( sk_ @ sk__1 ) )
| ~ ( environment @ sk__1 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk__1 @ ( sk__2 @ ( sk_ @ sk__1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__1 @ ( sk__2 @ ( sk_ @ sk__1 ) ) )
| ~ ( environment @ sk__1 )
| ~ ( in_environment @ sk__1 @ ( sk_ @ sk__1 ) )
| ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__2 @ ( sk_ @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl3,plain,
environment @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_001,plain,
stable @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( in_environment @ X0 @ ( sk_ @ X0 ) )
| ~ ( stable @ X0 )
| ~ ( environment @ X0 ) ),
inference(cnf,[status(esa)],[l1]) ).
thf(zip_derived_cl11,plain,
( ~ ( environment @ sk__1 )
| ( in_environment @ sk__1 @ ( sk_ @ sk__1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl3_002,plain,
environment @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
in_environment @ sk__1 @ ( sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__1 @ ( sk__2 @ ( sk_ @ sk__1 ) ) )
| ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ ( sk__2 @ ( sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl3,zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk__1 @ ( sk__2 @ ( sk_ @ sk__1 ) ) )
| ~ ( environment @ sk__1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl3_003,plain,
environment @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
~ ( subpopulations @ first_movers @ efficient_producers @ sk__1 @ ( sk__2 @ ( sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl3]) ).
thf(zip_derived_cl20,plain,
~ ( in_environment @ sk__1 @ ( sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl17]) ).
thf(zip_derived_cl13_004,plain,
in_environment @ sk__1 @ ( sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl21,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.72W84INDSx true
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 06:45:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % Solved by fo/fo6_bce.sh.
% 0.21/0.74 % BCE start: 8
% 0.21/0.74 % BCE eliminated: 0
% 0.21/0.74 % PE start: 8
% 0.21/0.74 logic: neq
% 0.21/0.74 % PE eliminated: 4
% 0.21/0.74 % done 4 iterations in 0.007s
% 0.21/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74 % SZS output start Refutation
% See solution above
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 0.70/0.77 % Runner terminated.
% 0.70/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------