TSTP Solution File: MGT023+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : 600s
% DateTime : Sun Jul 17 22:24:46 EDT 2022
% Result : Theorem 0.36s 0.53s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of clauses : 45 ( 9 unt; 29 nHn; 45 RR)
% Number of literals : 150 ( 24 equ; 44 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV1'(X,Y))
| in_environment(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(2,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV1'(X,Y))
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV2'(X)),growth_rate(first_movers,'SKOLEMAAAV2'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(3,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV1'(X,Y))
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater(Z,'SKOLEMAAAV2'(X))
| greater(growth_rate(efficient_producers,Z),growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(4,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| greater_or_equal('SKOLEMAAAV1'(X,Y),Y)
| in_environment(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(5,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| greater_or_equal('SKOLEMAAAV1'(X,Y),Y)
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV2'(X)),growth_rate(first_movers,'SKOLEMAAAV2'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(6,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| greater_or_equal('SKOLEMAAAV1'(X,Y),Y)
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater(Z,'SKOLEMAAAV2'(X))
| greater(growth_rate(efficient_producers,Z),growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(7,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV1'(X,Y)),growth_rate(first_movers,'SKOLEMAAAV1'(X,Y)))
| in_environment(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(8,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV1'(X,Y)),growth_rate(first_movers,'SKOLEMAAAV1'(X,Y)))
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV2'(X)),growth_rate(first_movers,'SKOLEMAAAV2'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(9,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV1'(X,Y)),growth_rate(first_movers,'SKOLEMAAAV1'(X,Y)))
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater(Z,'SKOLEMAAAV2'(X))
| greater(growth_rate(efficient_producers,Z),growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
cnf(10,hypothesis,
( ~ environment(X)
| greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y))
| ~ in_environment(X,Y)
| subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV3'(X,Y))
| Y = critical_point(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(11,hypothesis,
( ~ environment(X)
| greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y))
| ~ in_environment(X,Y)
| greater('SKOLEMAAAV3'(X,Y),Y)
| Y = critical_point(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(12,hypothesis,
( ~ environment(X)
| greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y))
| ~ in_environment(X,Y)
| ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV3'(X,Y)),growth_rate(first_movers,'SKOLEMAAAV3'(X,Y)))
| Y = critical_point(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(13,hypothesis,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,'SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
cnf(14,hypothesis,
( ~ environment(X)
| ~ stable(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,'SKOLEMAAAV4'(X))
| greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
cnf(15,negated_conjecture,
environment('SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5) ).
cnf(16,negated_conjecture,
stable('SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5) ).
cnf(17,negated_conjecture,
~ in_environment('SKOLEMAAAV5',critical_point('SKOLEMAAAV5')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5) ).
cnf(18,plain,
in_environment('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[13,15,16]) ).
cnf(19,plain,
( greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5'))
| in_environment('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[4,18,15]) ).
cnf(20,plain,
( subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')))
| in_environment('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[1,18,15]) ).
cnf(23,plain,
( greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5'))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| greater('SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')),'SKOLEMAAAV2'('SKOLEMAAAV5'))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[11,19,15]) ).
cnf(24,plain,
( greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5'))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[10,19,15]) ).
cnf(25,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| greater('SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')),'SKOLEMAAAV2'('SKOLEMAAAV5'))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| in_environment('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[14,23,15,16,20]) ).
cnf(26,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| greater('SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')),'SKOLEMAAAV2'('SKOLEMAAAV5'))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[11,25,15]) ).
cnf(27,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5'))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[6,26,15,18,24]) ).
cnf(28,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))))
| in_environment('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[14,27,15,16,20]) ).
cnf(29,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))))
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))) ),
inference('HYPERRESOLVE',[status(thm)],[10,28,15]) ).
cnf(31,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))))
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))) ),
inference('HYPERRESOLVE',[status(thm)],[3,29,15,18,26]) ).
cnf(33,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[14,31,15,16,27]) ).
cnf(34,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[12,33,15,19]) ).
cnf(35,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))))
| in_environment('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[14,34,15,16,20]) ).
cnf(36,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[12,35,15,33]) ).
cnf(37,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| in_environment('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[7,36,15,18]) ).
cnf(38,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater('SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')),'SKOLEMAAAV2'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[11,37,15]) ).
cnf(39,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))) ),
inference('HYPERRESOLVE',[status(thm)],[10,37,15]) ).
cnf(40,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV5','SKOLEMAAAV2'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[9,39,15,18,36,38]) ).
cnf(41,plain,
( greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV5')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV5')))
| 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[12,40,15,37]) ).
cnf(42,plain,
( 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[5,41,15,18]) ).
cnf(43,plain,
( 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))) ),
inference('HYPERRESOLVE',[status(thm)],[2,41,15,18]) ).
cnf(45,plain,
( 'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5')
| greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')))) ),
inference('HYPERRESOLVE',[status(thm)],[14,43,15,16,42]) ).
cnf(46,plain,
'SKOLEMAAAV2'('SKOLEMAAAV5') = critical_point('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[8,45,15,18,41]) ).
cnf(47,plain,
greater_or_equal('SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')),'SKOLEMAAAV4'('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[19,17,46,theory(equality)]) ).
cnf(48,plain,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),
inference('REWRITE',[status(thm)],[20,17,46,theory(equality)]) ).
cnf(49,plain,
greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV5','SKOLEMAAAV4'('SKOLEMAAAV5')))),
inference('HYPERRESOLVE',[status(thm)],[14,48,15,16,47]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,49,15,18]),17,46,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 9 10:24:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T10:24:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T10:24:35
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 93 formulas have been input or derived (from 47 formulas).
% 0.38/0.54 ; 50 (54%) were retained. Of these,
% 0.38/0.54 ; 25 (50%) were simplified or subsumed later,
% 0.38/0.54 ; 25 (50%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.003 5% Read assertion file (1 call)
% 0.38/0.54 ; 0.001 2% Assert (4 calls)
% 0.38/0.54 ; 0.006 10% Process new row (89 calls)
% 0.38/0.54 ; 0.008 13% Resolution (92 calls)
% 0.38/0.54 ; 0.001 2% Paramodulation (46 calls)
% 0.38/0.54 ; 0.000 0% Factoring (25 calls)
% 0.38/0.54 ; 0.000 0% Condensing (64 calls)
% 0.38/0.54 ; 0.010 17% Forward subsumption (64 calls)
% 0.38/0.54 ; 0.005 8% Backward subsumption (41 calls)
% 0.38/0.54 ; 0.001 2% Clause clause subsumption (43 calls)
% 0.38/0.54 ; 0.001 2% Forward simplification (77 calls)
% 0.38/0.54 ; 0.000 0% Backward simplification (50 calls)
% 0.38/0.54 ; 0.001 2% Ordering (212 calls)
% 0.38/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.023 38% Other
% 0.38/0.54 ; 0.060 Total
% 0.38/0.54 ; 0.071 Real time
% 0.38/0.54 ;
% 0.38/0.55 ; Term-hash-array has 68 terms in all.
% 0.38/0.55 ; Feature-vector-row-index has 16 entries (27 at peak, 41 added, 25 deleted).
% 0.38/0.55 ; Feature-vector-row-index has 208 nodes (398 at peak, 600 added, 392 deleted).
% 0.38/0.55 ; Retrieved 29 possibly forward subsuming rows in 64 calls.
% 0.38/0.55 ; Retrieved 19 possibly backward subsumed rows in 41 calls.
% 0.38/0.55 ; Path-index has 58 entries (71 at peak, 101 added, 43 deleted).
% 0.38/0.55 ; Path-index has 193 nodes (211 at peak, 267 added, 74 deleted).
% 0.38/0.55 ; Trie-index has 58 entries (71 at peak, 101 added, 43 deleted).
% 0.38/0.55 ; Trie-index has 175 nodes (215 at peak, 349 added, 174 deleted).
% 0.38/0.55 ; Retrieved 6 generalization terms in 21 calls.
% 0.38/0.55 ; Retrieved 8 instance terms in 8 calls.
% 0.38/0.55 ; Retrieved 1,058 unifiable terms in 820 calls.
% 0.38/0.55 ;
% 0.38/0.55 ; The agenda of rows to process has 1 entry:
% 0.38/0.55 ; 1 with value 16
% 0.38/0.55 ; The agenda of rows to give has 1 entry:
% 0.38/0.55 ; 1 with value (4 27)
% 0.38/0.55 Evaluation took:
% 0.38/0.55 0.071 seconds of real time
% 0.38/0.55 0.059251 seconds of user run time
% 0.38/0.55 0.012327 seconds of system run time
% 0.38/0.55 0 calls to %EVAL
% 0.38/0.55 0 page faults and
% 0.38/0.55 10,498,912 bytes consed.
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T10:24:36
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------