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 v2.4.0.
% 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 22:25:33 EDT 2022
% Result : Unsatisfiable 0.48s 0.66s
% Output : Refutation 0.48s
% 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(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/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(mp2_favour_members_34,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_34) ).
cnf(mp3_favoured_trategy_35,axiom,
( ~ observational_period(X)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| environment(sk1(X))
| selection_favors(efficient_producers,first_movers,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
cnf(mp3_favoured_trategy_36,axiom,
( ~ observational_period(X)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| in_environment(X,sk1(X))
| selection_favors(efficient_producers,first_movers,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
cnf(mp3_favoured_trategy_37,axiom,
( ~ observational_period(X)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X)))
| selection_favors(efficient_producers,first_movers,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
cnf(mp4_critical_point_38,axiom,
( ~ observational_period(X)
| ~ slow_change(X)
| ~ environment(Y)
| ~ in_environment(X,Y)
| in_environment(Y,sk2(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_38) ).
cnf(mp4_critical_point_39,axiom,
( ~ observational_period(X)
| ~ slow_change(X)
| ~ environment(Y)
| ~ in_environment(X,Y)
| greater(sk2(Y,X),critical_point(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_39) ).
cnf(mp_organizational_sets1_40,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
cnf(mp_organizational_sets2_41,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).
cnf(mp_time_in_environment_42,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_42) ).
cnf(mp_environment_end_point_43,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_43) ).
cnf(mp_contains_FM_and_EP_44,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_44) ).
cnf(mp_first_movers_exist_45,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_45) ).
cnf(mp_subpopulations_46,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulation(first_movers,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_46) ).
cnf(mp_subpopulations_47,axiom,
( ~ environment(X)
| ~ in_environment(X,Y)
| subpopulation(efficient_producers,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_47) ).
cnf(mp_critical_point_after_EP_48,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_48) ).
cnf(mp_time_of_critical_point_49,axiom,
( ~ environment(X)
| greater_or_equal(critical_point(X),start_time(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
cnf(mp_greater_transitivity_50,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).
cnf(mp_greater_or_equal_52,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_greater_or_equal_53,axiom,
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).
cnf(mp_greater_or_equal_54,axiom,
( X != Y
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).
cnf(d1_56,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_56) ).
cnf(t6_57,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_57) ).
cnf(prove_t8_58,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_58) ).
cnf(prove_t8_59,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_59) ).
cnf(prove_t8_60,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_60) ).
cnf(29,plain,
( ~ observational_period(X)
| environment(sk1(X))
| selection_favors(efficient_producers,first_movers,X) ),
inference('REWRITE',[status(thm)],[mp3_favoured_trategy_35,mp_organizational_sets2_41,mp_organizational_sets1_40]) ).
cnf(30,plain,
( ~ observational_period(X)
| in_environment(X,sk1(X))
| selection_favors(efficient_producers,first_movers,X) ),
inference('REWRITE',[status(thm)],[mp3_favoured_trategy_36,mp_organizational_sets2_41,mp_organizational_sets1_40]) ).
cnf(31,plain,
( ~ observational_period(X)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X)))
| selection_favors(efficient_producers,first_movers,X) ),
inference('REWRITE',[status(thm)],[mp3_favoured_trategy_37,mp_organizational_sets2_41,mp_organizational_sets1_40]) ).
cnf(32,plain,
greater_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_54,theory(equality)]) ).
cnf(33,plain,
environment(sk1(sk3)),
inference('UR-RESOLVE',[status(thm)],[29,prove_t8_58,prove_t8_60]) ).
cnf(34,plain,
in_environment(sk3,sk1(sk3)),
inference('UR-RESOLVE',[status(thm)],[30,prove_t8_58,prove_t8_60]) ).
cnf(35,plain,
~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference('UR-RESOLVE',[status(thm)],[31,prove_t8_58,prove_t8_60]) ).
cnf(36,plain,
greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
inference('HYPERRESOLVE',[status(thm)],[mp_time_of_critical_point_49,33]) ).
cnf(37,plain,
greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))),
inference('HYPERRESOLVE',[status(thm)],[mp_critical_point_after_EP_48,33]) ).
cnf(39,plain,
in_environment(sk1(sk3),sk2(sk1(sk3),sk3)),
inference('HYPERRESOLVE',[status(thm)],[mp4_critical_point_38,34,prove_t8_58,prove_t8_59,33]) ).
cnf(40,plain,
greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
inference('HYPERRESOLVE',[status(thm)],[mp4_critical_point_39,34,prove_t8_58,prove_t8_59,33]) ).
cnf(41,plain,
( greater(critical_point(sk1(sk3)),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,36]) ).
cnf(42,plain,
subpopulation(efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)),
inference('HYPERRESOLVE',[status(thm)],[mp_subpopulations_47,39,33]) ).
cnf(43,plain,
subpopulation(first_movers,sk1(sk3),sk2(sk1(sk3),sk3)),
inference('HYPERRESOLVE',[status(thm)],[mp_subpopulations_46,39,33]) ).
cnf(44,plain,
greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)),
inference('HYPERRESOLVE',[status(thm)],[mp_environment_end_point_43,39,33]) ).
cnf(45,plain,
greater_or_equal(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero),
inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_exist_45,39,33]) ).
cnf(46,plain,
( greater(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,37]) ).
cnf(47,plain,
greater_or_equal(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_53,40]) ).
cnf(48,plain,
( greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,44]) ).
cnf(49,plain,
( greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero)
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,45]) ).
cnf(50,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_50,41,40]) ).
cnf(52,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_50,46,40]) ).
cnf(54,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_50,48,40]) ).
cnf(55,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_50,48,50]) ).
cnf(56,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_53,54]) ).
cnf(57,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_50,54,46]) ).
cnf(58,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_53,52]) ).
cnf(64,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[t6_57,58,33,39]) ).
cnf(66,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,64,33,39,49]) ).
cnf(75,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_53,55]) ).
cnf(79,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_time_in_environment_42,75,33,32]) ).
cnf(83,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_subpopulations_47,79,33]) ).
cnf(84,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_subpopulations_46,79,33]) ).
cnf(85,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_exist_45,79,33]) ).
cnf(86,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_53,57]) ).
cnf(88,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,85]) ).
cnf(89,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[t6_57,86,33,79]) ).
cnf(90,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,66,33,40,theory(equality)]) ).
cnf(106,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,90,33,66]) ).
cnf(112,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,88,33,79,89]) ).
cnf(117,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,112,33,54,theory(equality)]) ).
cnf(118,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,117,33,112]),35]) ).
cnf(119,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[106,118,theory(equality)]),35]) ).
cnf(122,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,119,33,83,84,89]),35]) ).
cnf(131,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[43,122,theory(equality)]) ).
cnf(132,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[42,122,theory(equality)]) ).
cnf(136,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[64,122,theory(equality)]) ).
cnf(148,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,136,33,132,131,119]),35]) ).
cnf(150,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| ~ in_environment(sk1(sk3),X)
| ~ greater_or_equal(X,critical_point(sk1(sk3)))
| greater(cardinality_at_time(efficient_producers,X),zero) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[t6_57,148,theory(equality)]),33]) ).
cnf(151,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[150,39,47]) ).
cnf(152,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[150,79,56]) ).
cnf(155,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,151,33,39,49]) ).
cnf(157,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,152,33,79,88]) ).
cnf(158,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,155,33,40,theory(equality)]) ).
cnf(161,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,158,33,155]) ).
cnf(163,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,157,33,54,theory(equality)]) ).
cnf(164,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,163,33,157]),35]) ).
cnf(165,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[161,164,theory(equality)]),35]) ).
cnf(168,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,165,33,83,84,152]),35]) ).
cnf(177,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[43,168,theory(equality)]) ).
cnf(178,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[42,168,theory(equality)]) ).
cnf(182,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[151,168,theory(equality)]) ).
cnf(192,plain,
critical_point(sk1(sk3)) = start_time(sk1(sk3)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,182,33,178,177,165]),35]) ).
cnf(193,plain,
( ~ greater_or_equal(X,critical_point(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),X)
| in_environment(sk1(sk3),X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[mp_time_in_environment_42,192,theory(equality)]),33]) ).
cnf(195,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[193,56,32]) ).
cnf(196,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_subpopulations_47,195,33]) ).
cnf(197,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_subpopulations_46,195,33]) ).
cnf(198,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_first_movers_exist_45,195,33]) ).
cnf(199,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[t6_57,195,33,86]) ).
cnf(200,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_52,198]) ).
cnf(202,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,200,33,195,199]) ).
cnf(203,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,202,33,54,theory(equality)]) ).
cnf(204,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,203,33,202]),35]) ).
cnf(205,plain,
( cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[106,204,theory(equality)]),35]) ).
cnf(208,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,205,33,196,197,199]),35]) ).
cnf(214,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[43,208,theory(equality)]) ).
cnf(215,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[42,208,theory(equality)]) ).
cnf(219,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[64,208,theory(equality)]) ).
cnf(227,plain,
critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,219,33,215,214,205]),35]) ).
cnf(228,plain,
( ~ in_environment(sk1(sk3),X)
| ~ greater_or_equal(X,critical_point(sk1(sk3)))
| greater(cardinality_at_time(efficient_producers,X),zero) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[t6_57,227,theory(equality)]),33]) ).
cnf(229,plain,
greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero),
inference('HYPERRESOLVE',[status(thm)],[228,39,47]) ).
cnf(230,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[228,195,56]) ).
cnf(232,plain,
( cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,229,33,39,49]) ).
cnf(234,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_contains_FM_and_EP_44,230,33,195,200]) ).
cnf(235,plain,
( cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,232,33,40,theory(equality)]) ).
cnf(236,plain,
( cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) = zero
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,235,33,232]) ).
cnf(238,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[d1_56,234,33,54,theory(equality)]) ).
cnf(239,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp1_high_growth_rates_33,238,33,234]),35]) ).
cnf(240,plain,
cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,239,theory(equality)]),35]) ).
cnf(241,plain,
end_time(sk1(sk3)) = sk2(sk1(sk3),sk3),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp2_favour_members_34,240,33,196,197,230]),35]) ).
cnf(244,plain,
subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))),
inference('REWRITE',[status(thm)],[42,241,theory(equality)]) ).
cnf(245,plain,
subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))),
inference('REWRITE',[status(thm)],[43,241,theory(equality)]) ).
cnf(247,plain,
greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero),
inference('REWRITE',[status(thm)],[229,241,theory(equality)]) ).
cnf(252,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[mp2_favour_members_34,245,33,244,240,35]),247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 07:32:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T07:32:50
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T07:32:50
% 0.48/0.66
% 0.48/0.66
% 0.48/0.66 #||
% 0.48/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.66 % SZS output start Refutation
% See solution above
% 0.48/0.68 ||#
% 0.48/0.68
% 0.48/0.68 ; Summary of computation:
% 0.48/0.68 ; 794 formulas have been input or derived (from 207 formulas).
% 0.48/0.68 ; 252 (32%) were retained. Of these,
% 0.48/0.68 ; 201 (80%) were simplified or subsumed later,
% 0.48/0.68 ; 51 (20%) are still being kept.
% 0.48/0.68 ;
% 0.48/0.68 ; Run time in seconds excluding printing time:
% 0.48/0.68 ; 0.007 4% Read assertion file (1 call)
% 0.48/0.68 ; 0.001 1% Assert (28 calls)
% 0.48/0.68 ; 0.029 15% Process new row (730 calls)
% 0.48/0.68 ; 0.021 11% Resolution (412 calls)
% 0.48/0.68 ; 0.007 4% Paramodulation (206 calls)
% 0.48/0.68 ; 0.002 1% Factoring (151 calls)
% 0.48/0.68 ; 0.001 1% Condensing (391 calls)
% 0.48/0.68 ; 0.043 23% Forward subsumption (391 calls)
% 0.48/0.68 ; 0.014 7% Backward subsumption (219 calls)
% 0.48/0.68 ; 0.001 1% Clause clause subsumption (450 calls)
% 0.48/0.68 ; 0.012 6% Forward simplification (620 calls)
% 0.48/0.68 ; 0.008 4% Backward simplification (252 calls)
% 0.48/0.68 ; 0.011 6% Ordering (4,531 calls)
% 0.48/0.68 ; 0.001 1% Sortal reasoning (32 calls)
% 0.48/0.68 ; 0.000 0% Purity testing (1 call)
% 0.48/0.68 ; 0.030 16% Other
% 0.48/0.68 ; 0.188 Total
% 0.48/0.68 ; 0.207 Real time
% 0.48/0.68 ;
% 0.48/0.68 ; Term-hash-array has 171 terms in all.
% 0.48/0.68 ; Feature-vector-row-index has 29 entries (115 at peak, 219 added, 190 deleted).
% 0.48/0.68 ; Feature-vector-row-index has 221 nodes (1,191 at peak, 2,421 added, 2,200 deleted).
% 0.48/0.68 ; Retrieved 634 possibly forward subsuming rows in 391 calls.
% 0.48/0.68 ; Retrieved 137 possibly backward subsumed rows in 219 calls.
% 0.48/0.68 ; Path-index has 112 entries (163 at peak, 290 added, 178 deleted).
% 0.48/0.68 ; Path-index has 372 nodes (433 at peak, 516 added, 144 deleted).
% 0.48/0.68 ; Trie-index has 112 entries (163 at peak, 290 added, 178 deleted).
% 0.48/0.68 ; Trie-index has 287 nodes (521 at peak, 974 added, 687 deleted).
% 0.48/0.68 ; Retrieved 294 generalization terms in 797 calls.
% 0.48/0.68 ; Retrieved 39 instance terms in 32 calls.
% 0.48/0.68 ; Retrieved 5,385 unifiable terms in 3,041 calls.
% 0.48/0.68 ;
% 0.48/0.68 ; The agenda of rows to give has 7 entries:
% 0.48/0.68 ; 1 with value (4 13) 1 with value (4 54) 1 with value (4 84)
% 0.48/0.68 ; 1 with value (4 49) 1 with value (4 68) 1 with value (4 88)
% 0.48/0.68 ; 1 with value (4 50)
% 0.48/0.68 Evaluation took:
% 0.48/0.68 0.207 seconds of real time
% 0.48/0.68 0.18897 seconds of user run time
% 0.48/0.68 0.017785 seconds of system run time
% 0.48/0.68 [Run times include 0.007 seconds GC run time.]
% 0.48/0.68 0 calls to %EVAL
% 0.48/0.68 0 page faults and
% 0.48/0.68 25,243,224 bytes consed.
% 0.48/0.68 :PROOF-FOUND
% 0.48/0.68 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T07:32:50
% 0.48/0.68 :PROOF-FOUND
% 0.48/0.68 *
%------------------------------------------------------------------------------