TSTP Solution File: MGT034+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 22:25:10 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of clauses : 51 ( 22 unt; 14 nHn; 50 RR)
% Number of literals : 108 ( 14 equ; 48 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(X)
| ~ subpopulations(Y,Z,X,U)
| ~ greater(growth_rate(Z,U),growth_rate(Y,U))
| selection_favors(Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
cnf(2,axiom,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ decreases(difference(disbanding_rate(first_movers,Y),disbanding_rate(efficient_producers,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).
cnf(3,axiom,
( ~ environment(X)
| ~ in_environment(X,critical_point(X))
| subpopulations(first_movers,efficient_producers,X,critical_point(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).
cnf(4,axiom,
( ~ environment(X)
| ~ in_environment(X,appear(efficient_producers,X))
| subpopulations(first_movers,efficient_producers,X,appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).
cnf(5,axiom,
( ~ decreases(difference(founding_rate(first_movers,X),founding_rate(efficient_producers,X)))
| decreases(difference(disbanding_rate(first_movers,X),disbanding_rate(efficient_producers,X)))
| decreases(difference(growth_rate(first_movers,X),growth_rate(efficient_producers,X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).
cnf(6,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater_or_equal(difference(growth_rate(first_movers,Y),growth_rate(efficient_producers,Y)),zero)
| ~ greater_or_equal(Z,appear(efficient_producers,X))
| ~ greater(Y,Z)
| ~ decreases(difference(growth_rate(first_movers,Z),growth_rate(efficient_producers,Z)))
| greater(difference(growth_rate(first_movers,Z),growth_rate(efficient_producers,Z)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function) ).
cnf(7,axiom,
( ~ greater(zero,difference(growth_rate(first_movers,X),growth_rate(efficient_producers,X)))
| greater(growth_rate(efficient_producers,X),growth_rate(first_movers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).
cnf(9,axiom,
( ~ greater(difference(growth_rate(first_movers,X),growth_rate(efficient_producers,X)),zero)
| greater(growth_rate(first_movers,X),growth_rate(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).
cnf(14,axiom,
( ~ environment(X)
| ~ in_environment(X,critical_point(X))
| ~ greater_or_equal(Y,appear(efficient_producers,X))
| ~ greater(critical_point(X),Y)
| in_environment(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points) ).
cnf(16,axiom,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| subpopulations(efficient_producers,first_movers,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
cnf(17,axiom,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| greater_or_equal(Y,appear(efficient_producers,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).
cnf(18,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(19,axiom,
( greater_or_equal(X,Y)
| ~ greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(20,axiom,
( greater_or_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(21,axiom,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| greater(zero,difference(growth_rate(first_movers,Y),growth_rate(efficient_producers,Y)))
| greater_or_equal(difference(growth_rate(first_movers,Y),growth_rate(efficient_producers,Y)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).
cnf(22,hypothesis,
( ~ environment(X)
| Y != critical_point(X)
| ~ greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(24,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater_or_equal(U,Y)
| ~ greater_or_equal(Z,U)
| subpopulations(first_movers,efficient_producers,X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10) ).
cnf(25,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| decreases(difference(founding_rate(first_movers,Y),founding_rate(efficient_producers,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12) ).
cnf(26,negated_conjecture,
environment('SKOLEMAAAU1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
cnf(27,negated_conjecture,
in_environment('SKOLEMAAAU1',critical_point('SKOLEMAAAU1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
cnf(28,negated_conjecture,
greater_or_equal('SKOLEMAAAU2',appear(efficient_producers,'SKOLEMAAAU1')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
cnf(29,negated_conjecture,
greater(critical_point('SKOLEMAAAU1'),'SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
cnf(30,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,'SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
cnf(31,plain,
greater_or_equal(critical_point('SKOLEMAAAU1'),'SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[19,29]) ).
cnf(32,plain,
greater_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[20,theory(equality)]) ).
cnf(36,plain,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAU1',critical_point('SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[3,26,27]) ).
cnf(37,plain,
~ greater(growth_rate(efficient_producers,critical_point('SKOLEMAAAU1')),growth_rate(first_movers,critical_point('SKOLEMAAAU1'))),
inference('UR-RESOLVE',[status(thm)],[22,26,theory(equality)]) ).
cnf(40,plain,
greater_or_equal(critical_point('SKOLEMAAAU1'),appear(efficient_producers,'SKOLEMAAAU1')),
inference('HYPERRESOLVE',[status(thm)],[17,36,26]) ).
cnf(44,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point('SKOLEMAAAU1')),growth_rate(efficient_producers,critical_point('SKOLEMAAAU1'))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point('SKOLEMAAAU1')),growth_rate(efficient_producers,critical_point('SKOLEMAAAU1'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[21,36,26]) ).
cnf(45,plain,
( greater(critical_point('SKOLEMAAAU1'),appear(efficient_producers,'SKOLEMAAAU1'))
| critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1') ),
inference('HYPERRESOLVE',[status(thm)],[18,40]) ).
cnf(48,plain,
~ greater(zero,difference(growth_rate(first_movers,critical_point('SKOLEMAAAU1')),growth_rate(efficient_producers,critical_point('SKOLEMAAAU1')))),
inference('UR-RESOLVE',[status(thm)],[7,37]) ).
cnf(49,plain,
greater_or_equal(difference(growth_rate(first_movers,critical_point('SKOLEMAAAU1')),growth_rate(efficient_producers,critical_point('SKOLEMAAAU1'))),zero),
inference('REWRITE',[status(thm)],[44,48]) ).
cnf(52,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| in_environment('SKOLEMAAAU1',appear(efficient_producers,'SKOLEMAAAU1')) ),
inference('HYPERRESOLVE',[status(thm)],[14,45,26,27,32]) ).
cnf(53,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAU1',appear(efficient_producers,'SKOLEMAAAU1')) ),
inference('HYPERRESOLVE',[status(thm)],[4,52,26]) ).
cnf(54,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAU1','SKOLEMAAAU2') ),
inference('HYPERRESOLVE',[status(thm)],[24,53,26,36,28,31]) ).
cnf(58,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| subpopulations(efficient_producers,first_movers,'SKOLEMAAAU1','SKOLEMAAAU2') ),
inference('HYPERRESOLVE',[status(thm)],[16,54,26]) ).
cnf(59,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| decreases(difference(founding_rate(first_movers,'SKOLEMAAAU2'),founding_rate(efficient_producers,'SKOLEMAAAU2'))) ),
inference('HYPERRESOLVE',[status(thm)],[25,54,26]) ).
cnf(61,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| decreases(difference(disbanding_rate(first_movers,'SKOLEMAAAU2'),disbanding_rate(efficient_producers,'SKOLEMAAAU2')))
| decreases(difference(growth_rate(first_movers,'SKOLEMAAAU2'),growth_rate(efficient_producers,'SKOLEMAAAU2'))) ),
inference('HYPERRESOLVE',[status(thm)],[5,59]) ).
cnf(66,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| decreases(difference(disbanding_rate(first_movers,'SKOLEMAAAU2'),disbanding_rate(efficient_producers,'SKOLEMAAAU2')))
| greater(difference(growth_rate(first_movers,'SKOLEMAAAU2'),growth_rate(efficient_producers,'SKOLEMAAAU2')),zero) ),
inference('HYPERRESOLVE',[status(thm)],[6,61,26,27,49,28,29]) ).
cnf(68,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| decreases(difference(disbanding_rate(first_movers,'SKOLEMAAAU2'),disbanding_rate(efficient_producers,'SKOLEMAAAU2')))
| greater(growth_rate(first_movers,'SKOLEMAAAU2'),growth_rate(efficient_producers,'SKOLEMAAAU2')) ),
inference('HYPERRESOLVE',[status(thm)],[9,66]) ).
cnf(70,plain,
( critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1')
| decreases(difference(disbanding_rate(first_movers,'SKOLEMAAAU2'),disbanding_rate(efficient_producers,'SKOLEMAAAU2'))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,68,26,58]),30]) ).
cnf(71,plain,
critical_point('SKOLEMAAAU1') = appear(efficient_producers,'SKOLEMAAAU1'),
inference('HYPERRESOLVE',[status(thm)],[2,70,26,54]) ).
cnf(72,plain,
greater_or_equal('SKOLEMAAAU2',critical_point('SKOLEMAAAU1')),
inference('REWRITE',[status(thm)],[28,71,theory(equality)]) ).
cnf(74,plain,
subpopulations(first_movers,efficient_producers,'SKOLEMAAAU1','SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[24,72,26,36,36,31]) ).
cnf(75,plain,
subpopulations(efficient_producers,first_movers,'SKOLEMAAAU1','SKOLEMAAAU2'),
inference('HYPERRESOLVE',[status(thm)],[16,74,26]) ).
cnf(77,plain,
decreases(difference(founding_rate(first_movers,'SKOLEMAAAU2'),founding_rate(efficient_producers,'SKOLEMAAAU2'))),
inference('HYPERRESOLVE',[status(thm)],[25,74,26]) ).
cnf(78,plain,
~ decreases(difference(disbanding_rate(first_movers,'SKOLEMAAAU2'),disbanding_rate(efficient_producers,'SKOLEMAAAU2'))),
inference('UR-RESOLVE',[status(thm)],[2,74,26]) ).
cnf(80,plain,
~ greater(growth_rate(first_movers,'SKOLEMAAAU2'),growth_rate(efficient_producers,'SKOLEMAAAU2')),
inference('UR-RESOLVE',[status(thm)],[1,75,26,30]) ).
cnf(84,plain,
~ greater(difference(growth_rate(first_movers,'SKOLEMAAAU2'),growth_rate(efficient_producers,'SKOLEMAAAU2')),zero),
inference('UR-RESOLVE',[status(thm)],[9,80]) ).
cnf(85,plain,
decreases(difference(growth_rate(first_movers,'SKOLEMAAAU2'),growth_rate(efficient_producers,'SKOLEMAAAU2'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,77]),78]) ).
cnf(87,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,84,26,27,49,29,85]),72,71,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 10:23:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T10:23:34
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-09T10:23:34
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 208 formulas have been input or derived (from 79 formulas).
% 0.19/0.53 ; 87 (42%) were retained. Of these,
% 0.19/0.53 ; 22 (25%) were simplified or subsumed later,
% 0.19/0.53 ; 65 (75%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.007 10% Read assertion file (1 call)
% 0.19/0.53 ; 0.002 3% Assert (21 calls)
% 0.19/0.53 ; 0.011 16% Process new row (155 calls)
% 0.19/0.53 ; 0.011 16% Resolution (156 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (78 calls)
% 0.19/0.53 ; 0.000 0% Factoring (19 calls)
% 0.19/0.53 ; 0.000 0% Condensing (58 calls)
% 0.19/0.53 ; 0.005 7% Forward subsumption (58 calls)
% 0.19/0.53 ; 0.002 3% Backward subsumption (50 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (24 calls)
% 0.19/0.53 ; 0.006 9% Forward simplification (153 calls)
% 0.19/0.53 ; 0.001 1% Backward simplification (87 calls)
% 0.19/0.53 ; 0.001 1% Ordering (116 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 33% Other
% 0.19/0.53 ; 0.069 Total
% 0.19/0.53 ; 0.076 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 161 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 30 entries (47 at peak, 50 added, 20 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 299 nodes (551 at peak, 588 added, 289 deleted).
% 0.19/0.53 ; Retrieved 20 possibly forward subsuming rows in 58 calls.
% 0.19/0.53 ; Retrieved 8 possibly backward subsumed rows in 50 calls.
% 0.19/0.53 ; Path-index has 142 entries (160 at peak, 189 added, 47 deleted).
% 0.19/0.53 ; Path-index has 462 nodes (487 at peak, 542 added, 80 deleted).
% 0.19/0.53 ; Trie-index has 142 entries (160 at peak, 189 added, 47 deleted).
% 0.19/0.53 ; Trie-index has 398 nodes (491 at peak, 584 added, 186 deleted).
% 0.19/0.53 ; Retrieved 74 generalization terms in 183 calls.
% 0.19/0.53 ; Retrieved 45 instance terms in 36 calls.
% 0.19/0.53 ; Retrieved 4,538 unifiable terms in 2,001 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 1 entry:
% 0.19/0.53 ; 1 with value 15
% 0.19/0.53 ; The agenda of rows to give has 2 entries:
% 0.19/0.53 ; 1 with value (4 17) 1 with value (4 20)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.076 seconds of real time
% 0.19/0.53 0.068356 seconds of user run time
% 0.19/0.53 0.008012 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 8,054,088 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T10:23:35
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------