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 v2.4.0.
% 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 22:25:10 EDT 2022
% Result : Unsatisfiable 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(mp1_high_growth_rates_33,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_33) ).
cnf(l3_34,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_34) ).
cnf(mp_critical_point_means_FM_and_EP_35,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_35) ).
cnf(mp_FM_and_EP_when_EP_appears_36,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_36) ).
cnf(mp_difference_between_founding_rates_37,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_37) ).
cnf(mp_decreasing_function_38,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_38) ).
cnf(mp_negative_growth_rate_difference_39,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_39) ).
cnf(mp_positive_growth_rate_difference_41,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_41) ).
cnf(mp_critical_time_points_46,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_46) ).
cnf(mp_symmetry_of_subpopulations_48,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_48) ).
cnf(mp_FM_and_EP_members_EP_appeared_49,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_49) ).
cnf(mp_greater_or_equal_50,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
cnf(mp_greater_or_equal_51,axiom,
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
cnf(mp_greater_or_equal_52,axiom,
( X != Y
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_relationship_of_growth_rates_53,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_53) ).
cnf(d1_54,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_54) ).
cnf(a10_56,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_56) ).
cnf(a12_57,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_57) ).
cnf(prove_t3_58,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_58) ).
cnf(prove_t3_59,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_59) ).
cnf(prove_t3_60,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_60) ).
cnf(prove_t3_61,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).
cnf(prove_t3_62,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_62) ).
cnf(31,plain,
greater_or_equal(critical_point(sk1),sk2),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_51,prove_t3_61]) ).
cnf(32,plain,
greater_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,theory(equality)]) ).
cnf(36,plain,
subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
inference('HYPERRESOLVE',[status(thm)],[mp_critical_point_means_FM_and_EP_35,prove_t3_58,prove_t3_59]) ).
cnf(37,plain,
~ greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))),
inference('UR-RESOLVE',[status(thm)],[d1_54,prove_t3_58,theory(equality)]) ).
cnf(40,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference('HYPERRESOLVE',[status(thm)],[mp_FM_and_EP_members_EP_appeared_49,36,prove_t3_58]) ).
cnf(44,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_relationship_of_growth_rates_53,36,prove_t3_58]) ).
cnf(45,plain,
( greater(critical_point(sk1),appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_50,40]) ).
cnf(48,plain,
~ greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
inference('UR-RESOLVE',[status(thm)],[mp_negative_growth_rate_difference_39,37]) ).
cnf(49,plain,
greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero),
inference('REWRITE',[status(thm)],[44,48]) ).
cnf(52,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| in_environment(sk1,appear(efficient_producers,sk1)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_critical_time_points_46,45,prove_t3_58,prove_t3_59,32]) ).
cnf(53,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_FM_and_EP_when_EP_appears_36,52,prove_t3_58]) ).
cnf(54,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference('HYPERRESOLVE',[status(thm)],[a10_56,53,prove_t3_58,36,prove_t3_60,31]) ).
cnf(58,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference('HYPERRESOLVE',[status(thm)],[mp_symmetry_of_subpopulations_48,54,prove_t3_58]) ).
cnf(59,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
inference('HYPERRESOLVE',[status(thm)],[a12_57,54,prove_t3_58]) ).
cnf(61,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_difference_between_founding_rates_37,59]) ).
cnf(66,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_decreasing_function_38,61,prove_t3_58,prove_t3_59,49,prove_t3_60,prove_t3_61]) ).
cnf(68,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_positive_growth_rate_difference_41,66]) ).
cnf(70,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,68,prove_t3_58,58]),prove_t3_62]) ).
cnf(71,plain,
critical_point(sk1) = appear(efficient_producers,sk1),
inference('HYPERRESOLVE',[status(thm)],[l3_34,70,prove_t3_58,54]) ).
cnf(72,plain,
greater_or_equal(sk2,critical_point(sk1)),
inference('REWRITE',[status(thm)],[prove_t3_60,71,theory(equality)]) ).
cnf(74,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference('HYPERRESOLVE',[status(thm)],[a10_56,72,prove_t3_58,36,36,31]) ).
cnf(75,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference('HYPERRESOLVE',[status(thm)],[mp_symmetry_of_subpopulations_48,74,prove_t3_58]) ).
cnf(77,plain,
decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))),
inference('HYPERRESOLVE',[status(thm)],[a12_57,74,prove_t3_58]) ).
cnf(78,plain,
~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference('UR-RESOLVE',[status(thm)],[l3_34,74,prove_t3_58]) ).
cnf(80,plain,
~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),
inference('UR-RESOLVE',[status(thm)],[mp1_high_growth_rates_33,75,prove_t3_58,prove_t3_62]) ).
cnf(84,plain,
~ greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero),
inference('UR-RESOLVE',[status(thm)],[mp_positive_growth_rate_difference_41,80]) ).
cnf(85,plain,
decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp_difference_between_founding_rates_37,77]),78]) ).
cnf(87,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[mp_decreasing_function_38,84,prove_t3_58,prove_t3_59,49,prove_t3_61,85]),72,71,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT034-2 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 08:50:50 EDT 2022
% 0.12/0.33 % 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 2022-06-09T08:50:50
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T08:50:50
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 208 formulas have been input or derived (from 79 formulas).
% 0.19/0.54 ; 87 (42%) were retained. Of these,
% 0.19/0.54 ; 22 (25%) were simplified or subsumed later,
% 0.19/0.54 ; 65 (75%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.008 12% Read assertion file (1 call)
% 0.19/0.54 ; 0.001 1% Assert (30 calls)
% 0.19/0.54 ; 0.009 13% Process new row (155 calls)
% 0.19/0.54 ; 0.013 19% Resolution (156 calls)
% 0.19/0.54 ; 0.003 4% Paramodulation (78 calls)
% 0.19/0.54 ; 0.000 0% Factoring (19 calls)
% 0.19/0.54 ; 0.001 1% Condensing (58 calls)
% 0.19/0.54 ; 0.004 6% Forward subsumption (58 calls)
% 0.19/0.54 ; 0.001 1% Backward subsumption (50 calls)
% 0.19/0.54 ; 0.000 0% Clause clause subsumption (24 calls)
% 0.19/0.54 ; 0.002 3% Forward simplification (153 calls)
% 0.19/0.54 ; 0.001 1% Backward simplification (87 calls)
% 0.19/0.54 ; 0.001 1% Ordering (116 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.001 1% Purity testing (1 call)
% 0.19/0.54 ; 0.023 34% Other
% 0.19/0.54 ; 0.068 Total
% 0.19/0.54 ; 0.076 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 161 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 30 entries (47 at peak, 50 added, 20 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 299 nodes (551 at peak, 588 added, 289 deleted).
% 0.19/0.54 ; Retrieved 20 possibly forward subsuming rows in 58 calls.
% 0.19/0.54 ; Retrieved 8 possibly backward subsumed rows in 50 calls.
% 0.19/0.54 ; Path-index has 142 entries (160 at peak, 189 added, 47 deleted).
% 0.19/0.54 ; Path-index has 462 nodes (487 at peak, 542 added, 80 deleted).
% 0.19/0.54 ; Trie-index has 142 entries (160 at peak, 189 added, 47 deleted).
% 0.19/0.54 ; Trie-index has 398 nodes (491 at peak, 584 added, 186 deleted).
% 0.19/0.54 ; Retrieved 74 generalization terms in 183 calls.
% 0.19/0.54 ; Retrieved 45 instance terms in 36 calls.
% 0.19/0.54 ; Retrieved 4,547 unifiable terms in 2,003 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 1 entry:
% 0.19/0.54 ; 1 with value 15
% 0.19/0.54 ; The agenda of rows to give has 2 entries:
% 0.19/0.54 ; 1 with value (4 17) 1 with value (4 20)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.076 seconds of real time
% 0.19/0.54 0.065133 seconds of user run time
% 0.19/0.54 0.011235 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 7,775,880 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:50:50
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------