%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT023+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 : Tue Sep 8 06:07:33 AM UTC 2026
% Result : Theorem 11.53s 3.58s
% Output : CNFRefutation 11.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of clauses : 79 ( 12 unt; 51 nHn; 79 RR)
% Number of literals : 275 ( 44 equ; 112 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,hypothesis,
( in_environment(X1,esk4_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_14) ).
cnf(i_0_16,negated_conjecture,
stable(esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_16) ).
cnf(i_0_17,negated_conjecture,
environment(esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_17) ).
cnf(i_0_6,plain,
( in_environment(X1,esk2_1(X1))
| greater_or_equal(esk1_2(X1,X2),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_6) ).
cnf(i_0_9,plain,
( in_environment(X1,esk2_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_9) ).
cnf(i_0_11,hypothesis,
( X1 = critical_point(X2)
| greater(esk3_2(X2,X1),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_11) ).
cnf(i_0_13,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater_or_equal(X1,esk4_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_13) ).
cnf(i_0_3,plain,
( in_environment(X1,esk2_1(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_3) ).
cnf(i_0_5,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_5) ).
cnf(i_0_8,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_8) ).
cnf(i_0_2,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_2) ).
cnf(i_0_4,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_4) ).
cnf(i_0_7,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_7) ).
cnf(i_0_1,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X3)
| ~ greater(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater(growth_rate(efficient_producers,esk1_2(X2,X3)),growth_rate(first_movers,esk1_2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_1) ).
cnf(i_0_12,hypothesis,
( X1 = critical_point(X2)
| subpopulations(first_movers,efficient_producers,X2,esk3_2(X2,X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_12) ).
cnf(i_0_10,hypothesis,
( X1 = critical_point(X2)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(growth_rate(efficient_producers,esk3_2(X2,X1)),growth_rate(first_movers,esk3_2(X2,X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_10) ).
cnf(i_0_15,negated_conjecture,
~ in_environment(esk5_0,critical_point(esk5_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xqvo8igy/input.p',i_0_15) ).
cnf(c_0_35,hypothesis,
( in_environment(X1,esk4_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
i_0_14 ).
cnf(c_0_36,negated_conjecture,
stable(esk5_0),
i_0_16 ).
cnf(c_0_37,negated_conjecture,
environment(esk5_0),
i_0_17 ).
cnf(c_0_38,plain,
( in_environment(X1,esk2_1(X1))
| greater_or_equal(esk1_2(X1,X2),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_6 ).
cnf(c_0_39,negated_conjecture,
in_environment(esk5_0,esk4_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_40,plain,
( in_environment(X1,esk2_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
i_0_9 ).
cnf(c_0_41,hypothesis,
( X1 = critical_point(X2)
| greater(esk3_2(X2,X1),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
i_0_11 ).
cnf(c_0_42,plain,
( greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37])]) ).
cnf(c_0_43,plain,
( subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_37])]) ).
cnf(c_0_44,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater_or_equal(X1,esk4_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
i_0_13 ).
cnf(c_0_45,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_37])]) ).
cnf(c_0_46,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_37])]) ).
cnf(c_0_47,plain,
( in_environment(X1,esk2_1(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2))) ),
i_0_3 ).
cnf(c_0_48,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_36]),c_0_37])]),c_0_46]) ).
cnf(c_0_49,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39]),c_0_37])]) ).
cnf(c_0_50,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
i_0_5 ).
cnf(c_0_51,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_49]),c_0_37])]) ).
cnf(c_0_52,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
i_0_8 ).
cnf(c_0_53,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2))) ),
i_0_2 ).
cnf(c_0_54,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_37])]) ).
cnf(c_0_55,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_37])]) ).
cnf(c_0_56,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,X1)),growth_rate(first_movers,esk1_2(esk5_0,X1)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_51]),c_0_37])]) ).
cnf(c_0_57,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_58,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_39]) ).
cnf(c_0_59,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_56,c_0_39]) ).
cnf(c_0_60,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3) ),
i_0_4 ).
cnf(c_0_61,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_57]),c_0_36]),c_0_37])]),c_0_58]),c_0_59]) ).
cnf(c_0_62,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3) ),
i_0_7 ).
cnf(c_0_63,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X3)
| ~ greater(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater(growth_rate(efficient_producers,esk1_2(X2,X3)),growth_rate(first_movers,esk1_2(X2,X3))) ),
i_0_1 ).
cnf(c_0_64,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_37])]) ).
cnf(c_0_65,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_37])]) ).
cnf(c_0_66,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,X1)),growth_rate(first_movers,esk1_2(esk5_0,X1)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_37])]) ).
cnf(c_0_67,hypothesis,
( X1 = critical_point(X2)
| subpopulations(first_movers,efficient_producers,X2,esk3_2(X2,X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1) ),
i_0_12 ).
cnf(c_0_68,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_69,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_65,c_0_39]) ).
cnf(c_0_70,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_66,c_0_39]) ).
cnf(c_0_71,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_42]),c_0_37])]) ).
cnf(c_0_72,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_43]),c_0_37])]) ).
cnf(c_0_73,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_68]),c_0_36]),c_0_37])]),c_0_69]),c_0_70]) ).
cnf(c_0_74,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_71]),c_0_36]),c_0_37])]),c_0_72]) ).
cnf(c_0_75,hypothesis,
( X1 = critical_point(X2)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(growth_rate(efficient_producers,esk3_2(X2,X1)),growth_rate(first_movers,esk3_2(X2,X1))) ),
i_0_10 ).
cnf(c_0_76,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| ~ in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_37])]) ).
cnf(c_0_78,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_42]) ).
cnf(c_0_79,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_36]),c_0_37])]) ).
cnf(c_0_80,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_43]),c_0_79]) ).
cnf(c_0_81,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_80]),c_0_39]),c_0_37])]) ).
cnf(c_0_82,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0)))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_81]),c_0_37])]) ).
cnf(c_0_83,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_73,c_0_82]) ).
cnf(c_0_84,hypothesis,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_83]),c_0_37])]),c_0_81]) ).
cnf(c_0_85,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_84]),c_0_37])]) ).
cnf(c_0_86,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_84]),c_0_37])]) ).
cnf(c_0_87,plain,
( esk2_1(esk5_0) = critical_point(esk5_0)
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,X1)),growth_rate(first_movers,esk1_2(esk5_0,X1)))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_84]),c_0_37])]) ).
cnf(c_0_88,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_85,c_0_39]) ).
cnf(c_0_89,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_86,c_0_39]) ).
cnf(c_0_90,negated_conjecture,
( esk2_1(esk5_0) = critical_point(esk5_0)
| ~ greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_87,c_0_39]) ).
cnf(c_0_91,hypothesis,
esk2_1(esk5_0) = critical_point(esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_88]),c_0_36]),c_0_37])]),c_0_89]),c_0_90]) ).
cnf(c_0_92,negated_conjecture,
~ in_environment(esk5_0,critical_point(esk5_0)),
i_0_15 ).
cnf(c_0_93,plain,
greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_91]),c_0_92]) ).
cnf(c_0_94,plain,
subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_91]),c_0_92]) ).
cnf(c_0_95,hypothesis,
greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_93]),c_0_36]),c_0_37])]),c_0_94])]) ).
cnf(c_0_96,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_95]),c_0_91]),c_0_39]),c_0_37])]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:09:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.45 # ENIGMATIC: Selected complete mode:
% 11.53/3.58 # ENIGMATIC: Solved by autoschedule:
% 11.53/3.58 # No SInE strategy applied
% 11.53/3.58 # Trying AutoSched0 for 150 seconds
% 11.53/3.58 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 11.53/3.58 # and selection function SelectVGNonCR.
% 11.53/3.58 #
% 11.53/3.58 # Preprocessing time : 0.024 s
% 11.53/3.58 # Presaturation interreduction done
% 11.53/3.58
% 11.53/3.58 # Proof found!
% 11.53/3.58 # SZS status Theorem
% 11.53/3.58 # SZS output start CNFRefutation
% See solution above
% 11.53/3.59 # Training examples: 0 positive, 0 negative
% 11.53/3.59
% 11.53/3.59 # -------------------------------------------------
% 11.53/3.59 # User time : 0.032 s
% 11.53/3.59 # System time : 0.005 s
% 11.53/3.59 # Total time : 0.037 s
% 11.53/3.59 # Maximum resident set size: 3328 pages
% 11.53/3.59
%------------------------------------------------------------------------------