TSTP Solution File: MGT034-2 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : 300s
% DateTime : Tue May 21 00:38:56 EDT 2024
% Result : Unsatisfiable 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 23
% Syntax : Number of clauses : 101 ( 16 unt; 20 nHn; 100 RR)
% Number of literals : 285 ( 21 equ; 178 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 : 124 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_greater_or_equal_52,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_critical_time_points_46,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points_46) ).
cnf(mp_critical_point_means_FM_and_EP_35,axiom,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
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,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
cnf(mp_greater_or_equal_50,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
( greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
cnf(a10_56,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_56) ).
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_58,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_58) ).
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(mp_greater_or_equal_51,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
cnf(a12_57,hypothesis,
( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_57) ).
cnf(prove_t3_61,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).
cnf(mp_decreasing_function_38,axiom,
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function_38) ).
cnf(mp_difference_between_founding_rates_37,axiom,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).
cnf(mp_symmetry_of_subpopulations_48,axiom,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
cnf(l3_34,axiom,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_34) ).
cnf(mp1_high_growth_rates_33,axiom,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(prove_t3_62,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_62) ).
cnf(mp_positive_growth_rate_difference_41,axiom,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).
cnf(d1_54,hypothesis,
( ~ environment(X1)
| X2 != critical_point(X1)
| ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_54) ).
cnf(mp_relationship_of_growth_rates_53,axiom,
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).
cnf(mp_negative_growth_rate_difference_39,axiom,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).
cnf(c_0_23,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(fof_simplification,[status(thm)],[mp_greater_or_equal_52]) ).
cnf(c_0_24,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_critical_time_points_46]) ).
cnf(c_0_25,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
c_0_23 ).
cnf(c_0_26,plain,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
inference(fof_simplification,[status(thm)],[mp_critical_point_means_FM_and_EP_35]) ).
cnf(c_0_27,plain,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
inference(fof_simplification,[status(thm)],[mp_FM_and_EP_when_EP_appears_36]) ).
cnf(c_0_28,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X2) ),
c_0_24 ).
cnf(c_0_29,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_greater_or_equal_50]) ).
cnf(c_0_31,plain,
( greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_FM_and_EP_members_EP_appeared_49]) ).
cnf(c_0_32,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4) ),
inference(fof_simplification,[status(thm)],[a10_56]) ).
cnf(c_0_33,plain,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
c_0_26 ).
cnf(c_0_34,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
prove_t3_59 ).
cnf(c_0_35,negated_conjecture,
environment(sk1),
prove_t3_58 ).
cnf(c_0_36,plain,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
c_0_27 ).
cnf(c_0_37,plain,
( in_environment(X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
c_0_30 ).
cnf(c_0_39,plain,
( greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_31 ).
cnf(c_0_40,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4) ),
c_0_32 ).
cnf(c_0_41,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_42,plain,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( X1 = appear(efficient_producers,X2)
| greater(X1,appear(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,hypothesis,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,sk1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35])]) ).
cnf(c_0_45,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_33]) ).
cnf(c_0_46,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| ~ greater_or_equal(critical_point(sk1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
prove_t3_60 ).
cnf(c_0_48,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_greater_or_equal_51]) ).
cnf(c_0_49,hypothesis,
( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(fof_simplification,[status(thm)],[a12_57]) ).
cnf(c_0_50,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(critical_point(sk1),sk2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
c_0_48 ).
cnf(c_0_52,negated_conjecture,
greater(critical_point(sk1),sk2),
prove_t3_61 ).
cnf(c_0_53,plain,
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
inference(fof_simplification,[status(thm)],[mp_decreasing_function_38]) ).
cnf(c_0_54,plain,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(fof_simplification,[status(thm)],[mp_difference_between_founding_rates_37]) ).
cnf(c_0_55,hypothesis,
( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_49 ).
cnf(c_0_56,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_57,plain,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_symmetry_of_subpopulations_48]) ).
cnf(c_0_58,plain,
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
c_0_53 ).
cnf(c_0_59,plain,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[l3_34]) ).
cnf(c_0_60,plain,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
c_0_54 ).
cnf(c_0_61,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_35])]) ).
cnf(c_0_62,plain,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
inference(fof_simplification,[status(thm)],[mp1_high_growth_rates_33]) ).
cnf(c_0_63,plain,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_57 ).
cnf(c_0_64,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
inference(fof_simplification,[status(thm)],[prove_t3_62]) ).
cnf(c_0_65,plain,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(fof_simplification,[status(thm)],[mp_positive_growth_rate_difference_41]) ).
cnf(c_0_66,negated_conjecture,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(sk1,X1)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ greater(X1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_35])]) ).
cnf(c_0_67,plain,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
c_0_59 ).
cnf(c_0_68,hypothesis,
( appear(efficient_producers,sk1) = critical_point(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(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
c_0_62 ).
cnf(c_0_70,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_56]),c_0_35])]) ).
cnf(c_0_71,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
c_0_64 ).
cnf(c_0_72,plain,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
c_0_65 ).
cnf(c_0_73,negated_conjecture,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_34]),c_0_52])]) ).
cnf(c_0_74,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ subpopulations(first_movers,efficient_producers,X1,sk2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_35])]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_56]),c_0_35])]) ).
cnf(c_0_78,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,critical_point(sk1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_79,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X1,critical_point(sk1))
| ~ greater(critical_point(sk1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_51]) ).
cnf(c_0_81,negated_conjecture,
( greater_or_equal(sk2,critical_point(sk1))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(spm,[status(thm)],[c_0_47,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_52])]) ).
cnf(c_0_83,negated_conjecture,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_82]),c_0_35])]) ).
cnf(c_0_84,negated_conjecture,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_83]),c_0_35])]),c_0_71]) ).
cnf(c_0_85,hypothesis,
( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_35])]) ).
cnf(c_0_86,negated_conjecture,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_84,c_0_76]) ).
cnf(c_0_87,hypothesis,
( ~ environment(X1)
| X2 != critical_point(X1)
| ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(fof_simplification,[status(thm)],[d1_54]) ).
cnf(c_0_88,plain,
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_relationship_of_growth_rates_53]) ).
cnf(c_0_89,hypothesis,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_85]),c_0_86]) ).
cnf(c_0_90,hypothesis,
( ~ environment(X1)
| X2 != critical_point(X1)
| ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
c_0_87 ).
cnf(c_0_91,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
inference(fof_simplification,[status(thm)],[mp_negative_growth_rate_difference_39]) ).
cnf(c_0_92,plain,
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
c_0_88 ).
cnf(c_0_93,hypothesis,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,sk2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_89]) ).
cnf(c_0_94,hypothesis,
( ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1)))
| ~ environment(X1) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_95,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
c_0_91 ).
cnf(c_0_96,negated_conjecture,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_41]),c_0_35])]) ).
cnf(c_0_97,negated_conjecture,
~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_82]),c_0_35])]) ).
cnf(c_0_98,hypothesis,
( ~ greater(zero,difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
inference(sr,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 23:59:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54 # Version: 3.1.0
% 0.21/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54 # Starting sh5l with 300s (1) cores
% 0.21/0.54 # new_bool_3 with pid 2868 completed with status 0
% 0.21/0.54 # Result found by new_bool_3
% 0.21/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.54 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 2873 completed with status 0
% 0.21/0.54 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.21/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.54 # Preprocessing time : 0.002 s
% 0.21/0.54 # Presaturation interreduction done
% 0.21/0.54
% 0.21/0.54 # Proof found!
% 0.21/0.54 # SZS status Unsatisfiable
% 0.21/0.54 # SZS output start CNFRefutation
% See solution above
% 0.21/0.54 # Parsed axioms : 30
% 0.21/0.54 # Removed by relevancy pruning/SinE : 3
% 0.21/0.54 # Initial clauses : 27
% 0.21/0.54 # Removed in clause preprocessing : 0
% 0.21/0.54 # Initial clauses in saturation : 27
% 0.21/0.54 # Processed clauses : 292
% 0.21/0.54 # ...of these trivial : 0
% 0.21/0.54 # ...subsumed : 68
% 0.21/0.54 # ...remaining for further processing : 224
% 0.21/0.54 # Other redundant clauses eliminated : 3
% 0.21/0.54 # Clauses deleted for lack of memory : 0
% 0.21/0.54 # Backward-subsumed : 47
% 0.21/0.54 # Backward-rewritten : 16
% 0.21/0.54 # Generated clauses : 425
% 0.21/0.54 # ...of the previous two non-redundant : 319
% 0.21/0.54 # ...aggressively subsumed : 0
% 0.21/0.54 # Contextual simplify-reflections : 5
% 0.21/0.54 # Paramodulations : 421
% 0.21/0.54 # Factorizations : 0
% 0.21/0.54 # NegExts : 0
% 0.21/0.54 # Equation resolutions : 3
% 0.21/0.54 # Disequality decompositions : 0
% 0.21/0.54 # Total rewrite steps : 261
% 0.21/0.54 # ...of those cached : 251
% 0.21/0.54 # Propositional unsat checks : 0
% 0.21/0.54 # Propositional check models : 0
% 0.21/0.54 # Propositional check unsatisfiable : 0
% 0.21/0.54 # Propositional clauses : 0
% 0.21/0.54 # Propositional clauses after purity: 0
% 0.21/0.54 # Propositional unsat core size : 0
% 0.21/0.54 # Propositional preprocessing time : 0.000
% 0.21/0.54 # Propositional encoding time : 0.000
% 0.21/0.54 # Propositional solver time : 0.000
% 0.21/0.54 # Success case prop preproc time : 0.000
% 0.21/0.54 # Success case prop encoding time : 0.000
% 0.21/0.54 # Success case prop solver time : 0.000
% 0.21/0.54 # Current number of processed clauses : 130
% 0.21/0.54 # Positive orientable unit clauses : 11
% 0.21/0.54 # Positive unorientable unit clauses: 0
% 0.21/0.54 # Negative unit clauses : 2
% 0.21/0.54 # Non-unit-clauses : 117
% 0.21/0.54 # Current number of unprocessed clauses: 78
% 0.21/0.54 # ...number of literals in the above : 475
% 0.21/0.55 # Current number of archived formulas : 0
% 0.21/0.55 # Current number of archived clauses : 91
% 0.21/0.55 # Clause-clause subsumption calls (NU) : 6263
% 0.21/0.55 # Rec. Clause-clause subsumption calls : 1684
% 0.21/0.55 # Non-unit clause-clause subsumptions : 87
% 0.21/0.55 # Unit Clause-clause subsumption calls : 61
% 0.21/0.55 # Rewrite failures with RHS unbound : 0
% 0.21/0.55 # BW rewrite match attempts : 28
% 0.21/0.55 # BW rewrite match successes : 2
% 0.21/0.55 # Condensation attempts : 0
% 0.21/0.55 # Condensation successes : 0
% 0.21/0.55 # Termbank termtop insertions : 15360
% 0.21/0.55 # Search garbage collected termcells : 119
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.034 s
% 0.21/0.55 # System time : 0.003 s
% 0.21/0.55 # Total time : 0.037 s
% 0.21/0.55 # Maximum resident set size: 1740 pages
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.035 s
% 0.21/0.55 # System time : 0.006 s
% 0.21/0.55 # Total time : 0.041 s
% 0.21/0.55 # Maximum resident set size: 1724 pages
% 0.21/0.55 % E---3.1 exiting
% 0.21/0.55 % E exiting
%------------------------------------------------------------------------------