%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:26:28 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of clauses : 94 ( 22 unt; 18 nHn; 93 RR)
% Number of literals : 252 ( 14 equ; 151 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 : 118 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_critical_point_means_FM_and_EP_35,axiom,
( ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).
cnf(mp_critical_time_points_46,axiom,
( ~ greater(critical_point(X1),X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points_46) ).
cnf(mp_greater_or_equal_52,axiom,
( X1 != X2
| greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(X2,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
cnf(prove_t3_59,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_59) ).
cnf(prove_t3_58,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_58) ).
cnf(mp_greater_or_equal_50,axiom,
( ~ greater_or_equal(X1,X2)
| X1 = X2
| greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
cnf(a10_56,hypothesis,
( ~ greater_or_equal(X3,X4)
| ~ greater_or_equal(X4,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_56) ).
cnf(mp_FM_and_EP_when_EP_appears_36,axiom,
( ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
cnf(mp_greater_or_equal_51,axiom,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
cnf(prove_t3_61,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_61) ).
cnf(prove_t3_60,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_60) ).
cnf(a12_57,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_57) ).
cnf(mp_difference_between_founding_rates_37,axiom,
( ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).
cnf(l3_34,axiom,
( ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_34) ).
cnf(mp_decreasing_function_38,axiom,
( ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
| ~ greater(X2,X3)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function_38) ).
cnf(mp_relationship_of_growth_rates_53,axiom,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).
cnf(d1_54,hypothesis,
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 != critical_point(X1)
| ~ environment(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_54) ).
cnf(mp_negative_growth_rate_difference_39,axiom,
( ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).
cnf(mp_symmetry_of_subpopulations_48,axiom,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(efficient_producers,first_movers,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
cnf(mp1_high_growth_rates_33,axiom,
( ~ greater(growth_rate(X3,X4),growth_rate(X2,X4))
| ~ subpopulations(X2,X3,X1,X4)
| ~ environment(X1)
| selection_favors(X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(prove_t3_62,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_62) ).
cnf(mp_positive_growth_rate_difference_41,axiom,
( ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).
cnf(c_0_23,plain,
( ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
inference(fof_simplification,[status(thm)],[mp_critical_point_means_FM_and_EP_35]) ).
cnf(c_0_24,plain,
( ~ greater(critical_point(X1),X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_critical_time_points_46]) ).
cnf(c_0_25,plain,
( X1 != X2
| greater_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_greater_or_equal_52]) ).
cnf(c_0_26,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(X2,appear(efficient_producers,X1)) ),
inference(fof_simplification,[status(thm)],[mp_FM_and_EP_members_EP_appeared_49]) ).
cnf(c_0_27,plain,
( ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
c_0_23 ).
cnf(c_0_28,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
prove_t3_59 ).
cnf(c_0_29,negated_conjecture,
environment(sk1),
prove_t3_58 ).
cnf(c_0_30,plain,
( ~ greater(critical_point(X1),X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| in_environment(X1,X2) ),
c_0_24 ).
cnf(c_0_31,plain,
( X1 != X2
| greater_or_equal(X1,X2) ),
c_0_25 ).
cnf(c_0_32,plain,
( ~ greater_or_equal(X1,X2)
| X1 = X2
| greater(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_greater_or_equal_50]) ).
cnf(c_0_33,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(X2,appear(efficient_producers,X1)) ),
c_0_26 ).
cnf(c_0_34,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_27,c_0_28]),c_0_29])]) ).
cnf(c_0_35,negated_conjecture,
( ~ greater(critical_point(sk1),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| in_environment(sk1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_29])]) ).
cnf(c_0_36,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( ~ greater_or_equal(X1,X2)
| X1 = X2
| greater(X1,X2) ),
c_0_32 ).
cnf(c_0_38,negated_conjecture,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29])]) ).
cnf(c_0_39,hypothesis,
( ~ greater_or_equal(X3,X4)
| ~ greater_or_equal(X4,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,X4) ),
inference(fof_simplification,[status(thm)],[a10_56]) ).
cnf(c_0_40,plain,
( ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1)) ),
inference(fof_simplification,[status(thm)],[mp_FM_and_EP_when_EP_appears_36]) ).
cnf(c_0_41,negated_conjecture,
( ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
| in_environment(sk1,appear(efficient_producers,sk1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( greater(critical_point(sk1),appear(efficient_producers,sk1))
| appear(efficient_producers,sk1) = critical_point(sk1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,hypothesis,
( ~ greater_or_equal(X3,X4)
| ~ greater_or_equal(X4,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,X4) ),
c_0_39 ).
cnf(c_0_44,plain,
( ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1)) ),
c_0_40 ).
cnf(c_0_45,negated_conjecture,
( in_environment(sk1,appear(efficient_producers,sk1))
| appear(efficient_producers,sk1) = critical_point(sk1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_greater_or_equal_51]) ).
cnf(c_0_47,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,sk1,X2)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(critical_point(sk1),X1)
| subpopulations(first_movers,efficient_producers,sk1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_34]),c_0_29])]) ).
cnf(c_0_48,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| appear(efficient_producers,sk1) = critical_point(sk1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_29])]) ).
cnf(c_0_49,plain,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
c_0_46 ).
cnf(c_0_50,negated_conjecture,
greater(critical_point(sk1),sk2),
prove_t3_61 ).
cnf(c_0_51,negated_conjecture,
( ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| subpopulations(first_movers,efficient_producers,sk1,X1)
| appear(efficient_producers,sk1) = critical_point(sk1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
greater_or_equal(critical_point(sk1),sk2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
prove_t3_60 ).
cnf(c_0_54,negated_conjecture,
( ~ greater_or_equal(X1,critical_point(sk1))
| ~ greater_or_equal(critical_point(sk1),X1)
| subpopulations(first_movers,efficient_producers,sk1,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_55,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[a12_57]) ).
cnf(c_0_56,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| appear(efficient_producers,sk1) = critical_point(sk1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
( ~ greater_or_equal(sk2,critical_point(sk1))
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_58,plain,
( ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(fof_simplification,[status(thm)],[mp_difference_between_founding_rates_37]) ).
cnf(c_0_59,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2))) ),
c_0_55 ).
cnf(c_0_60,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_57]) ).
cnf(c_0_61,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(fof_simplification,[status(thm)],[l3_34]) ).
cnf(c_0_62,plain,
( ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
c_0_58 ).
cnf(c_0_63,hypothesis,
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_59,c_0_60]),c_0_29])]) ).
cnf(c_0_64,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
c_0_61 ).
cnf(c_0_65,hypothesis,
( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
( ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
| ~ greater(X2,X3)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
inference(fof_simplification,[status(thm)],[mp_decreasing_function_38]) ).
cnf(c_0_67,hypothesis,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,sk2)
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
( ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
| ~ greater(X2,X3)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
c_0_66 ).
cnf(c_0_69,negated_conjecture,
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_67,c_0_60]),c_0_29])]) ).
cnf(c_0_70,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[mp_relationship_of_growth_rates_53]) ).
cnf(c_0_71,negated_conjecture,
( ~ environment(X2)
| ~ greater(X1,sk2)
| ~ in_environment(X2,X1)
| ~ greater_or_equal(sk2,appear(efficient_producers,X2))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
c_0_70 ).
cnf(c_0_73,hypothesis,
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 != critical_point(X1)
| ~ environment(X1) ),
inference(fof_simplification,[status(thm)],[d1_54]) ).
cnf(c_0_74,plain,
( ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(fof_simplification,[status(thm)],[mp_negative_growth_rate_difference_39]) ).
cnf(c_0_75,negated_conjecture,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_28]),c_0_53]),c_0_50]),c_0_29])]) ).
cnf(c_0_76,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_34]),c_0_29])]) ).
cnf(c_0_77,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(efficient_producers,first_movers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_symmetry_of_subpopulations_48]) ).
cnf(c_0_78,hypothesis,
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 != critical_point(X1)
| ~ environment(X1) ),
c_0_73 ).
cnf(c_0_79,plain,
( ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
c_0_74 ).
cnf(c_0_80,negated_conjecture,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( ~ greater(growth_rate(X3,X4),growth_rate(X2,X4))
| ~ subpopulations(X2,X3,X1,X4)
| ~ environment(X1)
| selection_favors(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[mp1_high_growth_rates_33]) ).
cnf(c_0_82,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| subpopulations(efficient_producers,first_movers,X1,X2) ),
c_0_77 ).
cnf(c_0_83,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
inference(fof_simplification,[status(thm)],[prove_t3_62]) ).
cnf(c_0_84,plain,
( ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)) ),
inference(fof_simplification,[status(thm)],[mp_positive_growth_rate_difference_41]) ).
cnf(c_0_85,hypothesis,
( ~ environment(X1)
| ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1))) ),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_86,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
( ~ greater(growth_rate(X3,X4),growth_rate(X2,X4))
| ~ subpopulations(X2,X3,X1,X4)
| ~ environment(X1)
| selection_favors(X3,X2,X4) ),
c_0_81 ).
cnf(c_0_88,negated_conjecture,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_60]),c_0_29])]) ).
cnf(c_0_89,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
c_0_83 ).
cnf(c_0_90,plain,
( ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)) ),
c_0_84 ).
cnf(c_0_91,hypothesis,
greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_29])]) ).
cnf(c_0_92,negated_conjecture,
~ 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_87,c_0_88]),c_0_29])]),c_0_89]) ).
cnf(c_0_93,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:23:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.15/0.45 % Version: 3.5.1
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1691973 completed with status 0
% 0.15/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.45 % No SInE strategy applied
% 0.15/0.45 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.45 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.15/0.45 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.45 % new_bool_3 with pid 1691983 completed with status 0
% 0.15/0.45 % Result found by new_bool_3
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.45 % No SInE strategy applied
% 0.15/0.45 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.45 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.15/0.45 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.45 % Preprocessing time : 0.002 s
% 0.15/0.45 % Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 % Proof found!
% 0.15/0.45 % SZS status Unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45 % Parsed axioms : 30
% 0.15/0.45 % Removed by relevancy pruning/SinE : 0
% 0.15/0.45 % Initial clauses : 30
% 0.15/0.45 % Removed in clause preprocessing : 0
% 0.15/0.45 % Initial clauses in saturation : 30
% 0.15/0.45 % Processed clauses : 158
% 0.15/0.45 % ...of these trivial : 0
% 0.15/0.45 % ...subsumed : 12
% 0.15/0.45 % ...remaining for further processing : 146
% 0.15/0.45 % Other redundant clauses eliminated : 3
% 0.15/0.45 % Clauses deleted for lack of memory : 0
% 0.15/0.45 % Backward-subsumed : 0
% 0.15/0.45 % Backward-rewritten : 11
% 0.15/0.45 % Generated clauses : 153
% 0.15/0.45 % ...of the previous two non-redundant : 111
% 0.15/0.45 % ...aggressively subsumed : 0
% 0.15/0.45 % Contextual simplify-reflections : 1
% 0.15/0.45 % Paramodulations : 150
% 0.15/0.45 % Factorizations : 0
% 0.15/0.45 % NegExts : 0
% 0.15/0.45 % Equation resolutions : 3
% 0.15/0.45 % Disequality decompositions : 0
% 0.15/0.45 % Total rewrite steps : 128
% 0.15/0.45 % ...of those cached : 113
% 0.15/0.45 % Propositional unsat checks : 0
% 0.15/0.45 % Propositional check models : 0
% 0.15/0.45 % Propositional check unsatisfiable : 0
% 0.15/0.45 % Propositional clauses : 0
% 0.15/0.45 % Propositional clauses after purity: 0
% 0.15/0.45 % Propositional unsat core size : 0
% 0.15/0.45 % Propositional preprocessing time : 0.000
% 0.15/0.45 % Propositional encoding time : 0.000
% 0.15/0.45 % Propositional solver time : 0.000
% 0.15/0.45 % Success case prop preproc time : 0.000
% 0.15/0.45 % Success case prop encoding time : 0.000
% 0.15/0.45 % Success case prop solver time : 0.000
% 0.15/0.45 % Current number of processed clauses : 102
% 0.15/0.45 % Positive orientable unit clauses : 16
% 0.15/0.45 % Positive unorientable unit clauses: 0
% 0.15/0.45 % Negative unit clauses : 2
% 0.15/0.45 % Non-unit-clauses : 84
% 0.15/0.45 % Current number of unprocessed clauses: 10
% 0.15/0.45 % ...number of literals in the above : 28
% 0.15/0.45 % Current number of archived formulas : 0
% 0.15/0.45 % Current number of archived clauses : 41
% 0.15/0.45 % Clause-clause subsumption calls (NU) : 1245
% 0.15/0.45 % Rec. Clause-clause subsumption calls : 534
% 0.15/0.45 % Non-unit clause-clause subsumptions : 13
% 0.15/0.45 % Unit Clause-clause subsumption calls : 16
% 0.15/0.45 % Rewrite failures with RHS unbound : 0
% 0.15/0.45 % BW rewrite match attempts : 29
% 0.15/0.45 % BW rewrite match successes : 3
% 0.15/0.45 % Condensation attempts : 0
% 0.15/0.45 % Condensation successes : 0
% 0.15/0.45 % Termbank termtop insertions : 5471
% 0.15/0.45 % Search garbage collected termcells : 110
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.016 s
% 0.15/0.45 % System time : 0.002 s
% 0.15/0.45 % Total time : 0.018 s
% 0.15/0.45 % Maximum resident set size: 3664 pages
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.076 s
% 0.15/0.45 % System time : 0.015 s
% 0.15/0.45 % Total time : 0.091 s
% 0.15/0.45 % Maximum resident set size: 4864 pages
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------