TSTP Solution File: MGT039+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT039+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Sun Jul 17 22:25:34 EDT 2022
% Result : Theorem 0.45s 0.65s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 26
% Syntax : Number of clauses : 120 ( 27 unt; 72 nHn; 119 RR)
% Number of literals : 303 ( 132 equ; 67 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 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/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
cnf(2,axiom,
( ~ environment(X)
| ~ subpopulation(Y,X,Z)
| ~ subpopulation(U,X,Z)
| ~ greater(cardinality_at_time(Y,Z),zero)
| cardinality_at_time(U,Z) != zero
| selection_favors(Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members) ).
cnf(3,axiom,
( ~ observational_period(X)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| environment('SKOLEMAAAV1'(X))
| selection_favors(efficient_producers,first_movers,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
cnf(4,axiom,
( ~ observational_period(X)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| in_environment(X,'SKOLEMAAAV1'(X))
| selection_favors(efficient_producers,first_movers,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
cnf(5,axiom,
( ~ observational_period(X)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time('SKOLEMAAAV1'(X)))
| selection_favors(efficient_producers,first_movers,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
cnf(6,axiom,
( ~ observational_period(X)
| ~ slow_change(X)
| ~ environment(Y)
| ~ in_environment(X,Y)
| in_environment(Y,'SKOLEMAAAV2'(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).
cnf(7,axiom,
( ~ observational_period(X)
| ~ slow_change(X)
| ~ environment(Y)
| ~ in_environment(X,Y)
| greater('SKOLEMAAAV2'(Y),critical_point(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).
cnf(8,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).
cnf(9,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).
cnf(10,axiom,
( ~ environment(X)
| ~ greater_or_equal(Y,start_time(X))
| ~ greater_or_equal(end_time(X),Y)
| in_environment(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).
cnf(11,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| greater_or_equal(end_time(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).
cnf(12,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater(cardinality_at_time(first_movers,Y),zero)
| ~ greater(cardinality_at_time(efficient_producers,Y),zero)
| subpopulations(first_movers,efficient_producers,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).
cnf(13,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| greater_or_equal(cardinality_at_time(first_movers,Y),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist) ).
cnf(14,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulation(first_movers,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
cnf(15,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulation(efficient_producers,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
cnf(16,axiom,
( ~ environment(X)
| greater_or_equal(critical_point(X),appear(efficient_producers,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP) ).
cnf(17,axiom,
( ~ environment(X)
| greater_or_equal(critical_point(X),start_time(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
cnf(18,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).
cnf(20,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(21,axiom,
( greater_or_equal(X,Y)
| ~ greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(22,axiom,
( greater_or_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
cnf(24,hypothesis,
( ~ environment(X)
| Y != critical_point(X)
| ~ subpopulations(first_movers,efficient_producers,X,Z)
| ~ greater(Z,Y)
| greater(growth_rate(efficient_producers,Z),growth_rate(first_movers,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
cnf(25,hypothesis,
( ~ environment(X)
| ~ in_environment(X,Y)
| ~ greater_or_equal(Y,appear(efficient_producers,X))
| greater(cardinality_at_time(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6) ).
cnf(26,negated_conjecture,
observational_period('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
cnf(27,negated_conjecture,
slow_change('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
cnf(28,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,'SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
cnf(29,plain,
( ~ observational_period(X)
| environment('SKOLEMAAAV1'(X))
| selection_favors(efficient_producers,first_movers,X) ),
inference('REWRITE',[status(thm)],[3,9,8]) ).
cnf(30,plain,
( ~ observational_period(X)
| in_environment(X,'SKOLEMAAAV1'(X))
| selection_favors(efficient_producers,first_movers,X) ),
inference('REWRITE',[status(thm)],[4,9,8]) ).
cnf(31,plain,
( ~ observational_period(X)
| ~ selection_favors(efficient_producers,first_movers,end_time('SKOLEMAAAV1'(X)))
| selection_favors(efficient_producers,first_movers,X) ),
inference('REWRITE',[status(thm)],[5,9,8]) ).
cnf(32,plain,
greater_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[22,theory(equality)]) ).
cnf(33,plain,
environment('SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[29,26,28]) ).
cnf(34,plain,
in_environment('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[30,26,28]) ).
cnf(35,plain,
~ selection_favors(efficient_producers,first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[31,26,28]) ).
cnf(36,plain,
greater_or_equal(critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')),start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[17,33]) ).
cnf(37,plain,
greater_or_equal(critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')),appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[16,33]) ).
cnf(39,plain,
in_environment('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[6,34,26,27,33]) ).
cnf(40,plain,
greater('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')),critical_point('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[7,34,26,27,33]) ).
cnf(41,plain,
subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[15,39,33]) ).
cnf(42,plain,
subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[14,39,33]) ).
cnf(43,plain,
greater_or_equal(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[11,39,33]) ).
cnf(44,plain,
greater_or_equal(cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero),
inference('HYPERRESOLVE',[status(thm)],[13,39,33]) ).
cnf(45,plain,
( greater(critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')),start_time('SKOLEMAAAV1'('SKOLEMAAAV3')))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('HYPERRESOLVE',[status(thm)],[20,36]) ).
cnf(46,plain,
greater_or_equal('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')),critical_point('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('HYPERRESOLVE',[status(thm)],[21,40]) ).
cnf(47,plain,
( greater(critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')),appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('HYPERRESOLVE',[status(thm)],[20,37]) ).
cnf(48,plain,
( greater(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('HYPERRESOLVE',[status(thm)],[20,43]) ).
cnf(49,plain,
( greater(cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero)
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[20,44]) ).
cnf(50,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')),start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[18,45,40]) ).
cnf(52,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),critical_point('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[18,48,40]) ).
cnf(54,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[18,50,48]) ).
cnf(55,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')),appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[18,47,40]) ).
cnf(56,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater_or_equal(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),critical_point('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[21,52]) ).
cnf(57,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[18,52,47]) ).
cnf(58,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater_or_equal('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')),appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[21,55]) ).
cnf(64,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[25,58,33,39]) ).
cnf(66,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,64,33,39,49]) ).
cnf(75,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater_or_equal(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[21,54]) ).
cnf(77,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| in_environment('SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[10,75,33,32]) ).
cnf(81,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[15,77,33]) ).
cnf(82,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[14,77,33]) ).
cnf(83,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater_or_equal(cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[13,77,33]) ).
cnf(86,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater_or_equal(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[21,57]) ).
cnf(88,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero)
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[20,83]) ).
cnf(89,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[25,86,33,77]) ).
cnf(90,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,66,33,40,theory(equality)]) ).
cnf(96,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| selection_favors(efficient_producers,first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[1,90,33,66]) ).
cnf(112,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,88,33,77,89]) ).
cnf(117,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(growth_rate(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,112,33,52,theory(equality)]) ).
cnf(118,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,117,33,112]),35]) ).
cnf(119,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,118,theory(equality)]),35]) ).
cnf(122,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,119,33,81,82,89]),35]) ).
cnf(132,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('PARAMODULATE',[status(thm)],[42,122,theory(equality)]) ).
cnf(133,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('PARAMODULATE',[status(thm)],[41,122,theory(equality)]) ).
cnf(136,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('PARAMODULATE',[status(thm)],[64,122,theory(equality)]) ).
cnf(148,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,136,33,133,132,119]),35]) ).
cnf(150,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| ~ in_environment('SKOLEMAAAV1'('SKOLEMAAAV3'),X)
| ~ greater_or_equal(X,critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')))
| greater(cardinality_at_time(efficient_producers,X),zero) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,148,theory(equality)]),33]) ).
cnf(151,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[150,39,46]) ).
cnf(152,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[150,77,56]) ).
cnf(155,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,151,33,39,49]) ).
cnf(157,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,152,33,77,88]) ).
cnf(158,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,155,33,40,theory(equality)]) ).
cnf(159,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| selection_favors(efficient_producers,first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[1,158,33,155]) ).
cnf(163,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| greater(growth_rate(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,157,33,52,theory(equality)]) ).
cnf(164,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,163,33,157]),35]) ).
cnf(165,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[159,164,theory(equality)]),35]) ).
cnf(168,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,165,33,81,82,152]),35]) ).
cnf(178,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('PARAMODULATE',[status(thm)],[42,168,theory(equality)]) ).
cnf(179,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('PARAMODULATE',[status(thm)],[41,168,theory(equality)]) ).
cnf(182,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('PARAMODULATE',[status(thm)],[151,168,theory(equality)]) ).
cnf(192,plain,
critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = start_time('SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,182,33,179,178,165]),35]) ).
cnf(193,plain,
( ~ greater_or_equal(X,critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')))
| ~ greater_or_equal(end_time('SKOLEMAAAV1'('SKOLEMAAAV3')),X)
| in_environment('SKOLEMAAAV1'('SKOLEMAAAV3'),X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,192,theory(equality)]),33]) ).
cnf(195,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| in_environment('SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[193,56,32]) ).
cnf(196,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[15,195,33]) ).
cnf(197,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[14,195,33]) ).
cnf(198,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater_or_equal(cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[13,195,33]) ).
cnf(199,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[25,195,33,86]) ).
cnf(200,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero)
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[20,198]) ).
cnf(202,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,200,33,195,199]) ).
cnf(203,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(growth_rate(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,202,33,52,theory(equality)]) ).
cnf(204,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,203,33,202]),35]) ).
cnf(205,plain,
( cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,204,theory(equality)]),35]) ).
cnf(208,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,205,33,196,197,199]),35]) ).
cnf(215,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('PARAMODULATE',[status(thm)],[42,208,theory(equality)]) ).
cnf(216,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('PARAMODULATE',[status(thm)],[41,208,theory(equality)]) ).
cnf(219,plain,
( critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('PARAMODULATE',[status(thm)],[64,208,theory(equality)]) ).
cnf(227,plain,
critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')) = appear(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,219,33,216,215,205]),35]) ).
cnf(228,plain,
( ~ in_environment('SKOLEMAAAV1'('SKOLEMAAAV3'),X)
| ~ greater_or_equal(X,critical_point('SKOLEMAAAV1'('SKOLEMAAAV3')))
| greater(cardinality_at_time(efficient_producers,X),zero) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,227,theory(equality)]),33]) ).
cnf(229,plain,
greater(cardinality_at_time(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero),
inference('HYPERRESOLVE',[status(thm)],[228,39,46]) ).
cnf(230,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[228,195,56]) ).
cnf(232,plain,
( cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,229,33,39,49]) ).
cnf(234,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[12,230,33,195,200]) ).
cnf(235,plain,
( cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,232,33,40,theory(equality)]) ).
cnf(236,plain,
( cardinality_at_time(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| selection_favors(efficient_producers,first_movers,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[1,235,33,232]) ).
cnf(238,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero
| greater(growth_rate(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),growth_rate(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3')))) ),
inference('HYPERRESOLVE',[status(thm)],[24,234,33,52,theory(equality)]) ).
cnf(239,plain,
( end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'))
| cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,238,33,234]),35]) ).
cnf(240,plain,
cardinality_at_time(first_movers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,239,theory(equality)]),35]) ).
cnf(241,plain,
end_time('SKOLEMAAAV1'('SKOLEMAAAV3')) = 'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,240,33,196,197,230]),35]) ).
cnf(244,plain,
subpopulation(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[41,241,theory(equality)]) ).
cnf(245,plain,
subpopulation(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3'),end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[42,241,theory(equality)]) ).
cnf(247,plain,
greater(cardinality_at_time(efficient_producers,end_time('SKOLEMAAAV1'('SKOLEMAAAV3'))),zero),
inference('REWRITE',[status(thm)],[229,241,theory(equality)]) ).
cnf(252,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,245,33,244,240,35]),247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT039+2 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 12:11:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:11:08
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-09T12:11:08
% 0.45/0.65
% 0.45/0.65
% 0.45/0.65 #||
% 0.45/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65 % SZS output start Refutation
% See solution above
% 0.45/0.67 ||#
% 0.45/0.67
% 0.45/0.67 ; Summary of computation:
% 0.45/0.67 ; 794 formulas have been input or derived (from 207 formulas).
% 0.45/0.67 ; 252 (32%) were retained. Of these,
% 0.45/0.67 ; 201 (80%) were simplified or subsumed later,
% 0.45/0.67 ; 51 (20%) are still being kept.
% 0.45/0.67 ;
% 0.45/0.67 ; Run time in seconds excluding printing time:
% 0.45/0.67 ; 0.006 3% Read assertion file (1 call)
% 0.45/0.67 ; 0.001 1% Assert (19 calls)
% 0.45/0.67 ; 0.023 12% Process new row (731 calls)
% 0.45/0.67 ; 0.022 12% Resolution (412 calls)
% 0.45/0.67 ; 0.012 6% Paramodulation (206 calls)
% 0.45/0.67 ; 0.001 1% Factoring (151 calls)
% 0.45/0.67 ; 0.000 0% Condensing (392 calls)
% 0.45/0.67 ; 0.052 28% Forward subsumption (392 calls)
% 0.45/0.67 ; 0.018 10% Backward subsumption (219 calls)
% 0.45/0.67 ; 0.000 0% Clause clause subsumption (450 calls)
% 0.45/0.67 ; 0.012 6% Forward simplification (621 calls)
% 0.45/0.67 ; 0.005 3% Backward simplification (252 calls)
% 0.45/0.67 ; 0.010 5% Ordering (4,704 calls)
% 0.45/0.67 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.67 ; 0.001 1% Purity testing (1 call)
% 0.45/0.67 ; 0.024 13% Other
% 0.45/0.67 ; 0.187 Total
% 0.45/0.67 ; 0.208 Real time
% 0.45/0.67 ;
% 0.45/0.67 ; Term-hash-array has 171 terms in all.
% 0.45/0.67 ; Feature-vector-row-index has 29 entries (115 at peak, 219 added, 190 deleted).
% 0.45/0.67 ; Feature-vector-row-index has 221 nodes (1,195 at peak, 2,441 added, 2,220 deleted).
% 0.45/0.67 ; Retrieved 562 possibly forward subsuming rows in 392 calls.
% 0.45/0.67 ; Retrieved 128 possibly backward subsumed rows in 219 calls.
% 0.45/0.67 ; Path-index has 112 entries (163 at peak, 290 added, 178 deleted).
% 0.45/0.67 ; Path-index has 329 nodes (373 at peak, 448 added, 119 deleted).
% 0.45/0.67 ; Trie-index has 112 entries (163 at peak, 290 added, 178 deleted).
% 0.45/0.67 ; Trie-index has 282 nodes (494 at peak, 936 added, 654 deleted).
% 0.45/0.67 ; Retrieved 294 generalization terms in 800 calls.
% 0.45/0.67 ; Retrieved 39 instance terms in 32 calls.
% 0.45/0.67 ; Retrieved 5,375 unifiable terms in 3,040 calls.
% 0.45/0.67 ;
% 0.45/0.67 ; The agenda of rows to give has 7 entries:
% 0.45/0.67 ; 1 with value (4 13) 1 with value (4 53) 1 with value (4 84)
% 0.45/0.67 ; 1 with value (4 49) 1 with value (4 68) 1 with value (4 88)
% 0.45/0.67 ; 1 with value (4 50)
% 0.45/0.67 Evaluation took:
% 0.45/0.67 0.208 seconds of real time
% 0.45/0.67 0.190131 seconds of user run time
% 0.45/0.67 0.018177 seconds of system run time
% 0.45/0.67 [Run times include 0.007 seconds GC run time.]
% 0.45/0.67 0 calls to %EVAL
% 0.45/0.67 0 page faults and
% 0.45/0.67 27,167,192 bytes consed.
% 0.45/0.67 :PROOF-FOUND
% 0.45/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:11:08
% 0.45/0.67 :PROOF-FOUND
% 0.45/0.67 *
%------------------------------------------------------------------------------