TSTP Solution File: MGT036+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT036+3 : 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.vPeHBKu5jE true
% Computer : n010.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 09:20:25 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 35 ( 11 unt; 11 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 197 ( 20 ~; 16 |; 10 &; 148 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 28 ( 0 ^; 22 !; 6 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(outcompetes_type,type,
outcompetes: $i > $i > $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(a13_star,axiom,
? [E: $i,T: $i] :
( ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) )
& ( greater_or_equal @ ( growth_rate @ first_movers @ T ) @ zero )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( environment @ E ) ) ).
thf(zip_derived_cl6,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[a13_star]) ).
thf(zip_derived_cl6_001,plain,
subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
inference(cnf,[status(esa)],[a13_star]) ).
thf(mp_symmetry_of_subpopulations,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( subpopulations @ S2 @ S1 @ E @ T ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
| ( subpopulations @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[mp_symmetry_of_subpopulations]) ).
thf(zip_derived_cl16,plain,
( ~ ( environment @ sk_ )
| ( subpopulations @ efficient_producers @ first_movers @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
environment @ sk_,
inference(cnf,[status(esa)],[a13_star]) ).
thf(zip_derived_cl17,plain,
subpopulations @ efficient_producers @ first_movers @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ),
inference(cnf,[status(esa)],[a13_star]) ).
thf(zip_derived_cl5,plain,
greater_or_equal @ ( growth_rate @ first_movers @ sk__1 ) @ zero,
inference(cnf,[status(esa)],[a13_star]) ).
thf(d2,axiom,
! [E: $i,S1: $i,S2: $i,T: $i] :
( ( ( environment @ E )
& ( subpopulations @ S1 @ S2 @ E @ T ) )
=> ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
& ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
<=> ( outcompetes @ S2 @ S1 @ T ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
| ( outcompetes @ X2 @ X1 @ X3 )
| ~ ( greater @ zero @ ( growth_rate @ X1 @ X3 ) )
| ~ ( greater_or_equal @ ( growth_rate @ X2 @ X3 ) @ zero ) ),
inference(cnf,[status(esa)],[d2]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ zero @ ( growth_rate @ X0 @ sk__1 ) )
| ( outcompetes @ first_movers @ X0 @ sk__1 )
| ~ ( subpopulations @ X0 @ first_movers @ X1 @ sk__1 )
| ~ ( environment @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( outcompetes @ first_movers @ efficient_producers @ sk__1 )
| ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 )
| ~ ( environment @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl25,plain,
( ( outcompetes @ first_movers @ efficient_producers @ sk__1 )
| ~ ( environment @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl20]) ).
thf(zip_derived_cl7_002,plain,
environment @ sk_,
inference(cnf,[status(esa)],[a13_star]) ).
thf(zip_derived_cl26,plain,
outcompetes @ first_movers @ efficient_producers @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl7]) ).
thf(prove_t5_star,conjecture,
? [E: $i,T: $i] :
( ( outcompetes @ first_movers @ efficient_producers @ T )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( environment @ E ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [E: $i,T: $i] :
( ( outcompetes @ first_movers @ efficient_producers @ T )
& ( subpopulations @ first_movers @ efficient_producers @ E @ T )
& ( environment @ E ) ),
inference('cnf.neg',[status(esa)],[prove_t5_star]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
| ~ ( outcompetes @ first_movers @ efficient_producers @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ~ ( environment @ X0 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl8]) ).
thf(zip_derived_cl29,plain,
~ ( environment @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl27]) ).
thf(zip_derived_cl7_003,plain,
environment @ sk_,
inference(cnf,[status(esa)],[a13_star]) ).
thf(zip_derived_cl30,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT036+3 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vPeHBKu5jE true
% 0.13/0.34 % Computer : n010.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 05:58:34 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % Solved by fo/fo6_bce.sh.
% 0.20/0.72 % BCE start: 9
% 0.20/0.72 % BCE eliminated: 0
% 0.20/0.72 % PE start: 9
% 0.20/0.72 logic: neq
% 0.20/0.72 % PE eliminated: 1
% 0.20/0.72 % done 13 iterations in 0.012s
% 0.20/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.72 % SZS output start Refutation
% See solution above
% 0.20/0.72
% 0.20/0.72
% 0.20/0.72 % Terminating...
% 0.20/0.75 % Runner terminated.
% 0.20/0.76 % Zipperpin 1.5 exiting
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