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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT030+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 06:07:44 AM UTC 2026

% Result   : Theorem 13.78s 3.62s
% Output   : CNFRefutation 13.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   60 (  10 unt;  29 nHn;  60 RR)
%            Number of literals    :  191 (   0 equ;  98 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   63 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,hypothesis,
    ( in_environment(X1,esk3_1(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_11) ).

cnf(i_0_15,negated_conjecture,
    stable(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_15) ).

cnf(i_0_16,negated_conjecture,
    environment(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_16) ).

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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_9) ).

cnf(i_0_10,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater_or_equal(X1,esk3_1(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_10) ).

cnf(i_0_13,negated_conjecture,
    ( greater(esk5_1(X1),X1)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(esk4_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_3) ).

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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_4) ).

cnf(i_0_14,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(esk4_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_14) ).

cnf(i_0_12,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(esk4_0,X1)
    | ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_12) ).

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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_1) ).

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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/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/sandbox2/tmp/enigma-theBenchmark.p-xv7n7ooo/input.p',i_0_2) ).

cnf(c_0_33,hypothesis,
    ( in_environment(X1,esk3_1(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    i_0_11 ).

cnf(c_0_34,negated_conjecture,
    stable(esk4_0),
    i_0_15 ).

cnf(c_0_35,negated_conjecture,
    environment(esk4_0),
    i_0_16 ).

cnf(c_0_36,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_37,negated_conjecture,
    in_environment(esk4_0,esk3_1(esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_38,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_39,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater_or_equal(X1,esk3_1(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    i_0_10 ).

cnf(c_0_40,plain,
    ( greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0))
    | in_environment(esk4_0,esk2_1(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35])]) ).

cnf(c_0_41,plain,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
    | in_environment(esk4_0,esk2_1(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_35])]) ).

cnf(c_0_42,negated_conjecture,
    ( greater(esk5_1(X1),X1)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(esk4_0,X1) ),
    i_0_13 ).

cnf(c_0_43,hypothesis,
    ( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | in_environment(esk4_0,esk2_1(esk4_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]),c_0_35])]),c_0_41]) ).

cnf(c_0_44,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_45,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | greater(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,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_47,plain,
    ( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | greater(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_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_37]),c_0_35])]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(esk4_0,X1) ),
    i_0_14 ).

cnf(c_0_49,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(esk4_0,X1)
    | ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1))) ),
    i_0_12 ).

cnf(c_0_50,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_51,plain,
    ( greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | greater_or_equal(esk1_2(esk4_0,X1),X1)
    | ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
    | ~ in_environment(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_35])]) ).

cnf(c_0_52,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
    | greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_53,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | ~ greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_43]) ).

cnf(c_0_54,plain,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
    | greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
    | ~ in_environment(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_35])]) ).

cnf(c_0_55,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | greater_or_equal(esk1_2(esk4_0,X1),X1)
    | ~ in_environment(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
    | greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | ~ in_environment(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_37]) ).

cnf(c_0_58,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
    | greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_37]) ).

cnf(c_0_59,hypothesis,
    ( greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_34]),c_0_35])]),c_0_58]) ).

cnf(c_0_60,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_61,plain,
    ( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | in_environment(esk4_0,esk2_1(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_59]),c_0_37]),c_0_35])]) ).

cnf(c_0_62,plain,
    ( greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
    | ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
    | ~ in_environment(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_47]),c_0_35])]) ).

cnf(c_0_63,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
    | greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | ~ greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_61]) ).

cnf(c_0_65,plain,
    ( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
    | ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
    | ~ in_environment(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_66,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_67,negated_conjecture,
    greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_37]),c_0_59]) ).

cnf(c_0_68,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_69,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_70,plain,
    ( greater_or_equal(esk1_2(esk4_0,X1),X1)
    | ~ in_environment(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_35])]) ).

cnf(c_0_71,plain,
    ( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
    | ~ in_environment(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_35])]) ).

cnf(c_0_72,plain,
    ( ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
    | ~ in_environment(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_35])]) ).

cnf(c_0_73,negated_conjecture,
    greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)),
    inference(spm,[status(thm)],[c_0_70,c_0_37]) ).

cnf(c_0_74,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))),
    inference(spm,[status(thm)],[c_0_71,c_0_37]) ).

cnf(c_0_75,negated_conjecture,
    ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))),
    inference(spm,[status(thm)],[c_0_72,c_0_37]) ).

cnf(c_0_76,hypothesis,
    $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_39,c_0_73]),c_0_74]),c_0_34]),c_0_35])]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT030+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep  7 12:18:07 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.19/0.47  # ENIGMATIC: Selected complete mode:
% 13.78/3.62  # ENIGMATIC: Solved by autoschedule:
% 13.78/3.62  # No SInE strategy applied
% 13.78/3.62  # Trying AutoSched0 for 150 seconds
% 13.78/3.62  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 13.78/3.62  # and selection function SelectNewComplexAHP.
% 13.78/3.62  #
% 13.78/3.62  # Preprocessing time       : 0.023 s
% 13.78/3.62  # Presaturation interreduction done
% 13.78/3.62  
% 13.78/3.62  # Proof found!
% 13.78/3.62  # SZS status Theorem
% 13.78/3.62  # SZS output start CNFRefutation
% See solution above
% 13.78/3.63  # Training examples: 0 positive, 0 negative
% 13.78/3.63  
% 13.78/3.63  # -------------------------------------------------
% 13.78/3.63  # User time                : 0.029 s
% 13.78/3.63  # System time              : 0.005 s
% 13.78/3.63  # Total time               : 0.034 s
% 13.78/3.63  # Maximum resident set size: 3328 pages
% 13.78/3.63  
%------------------------------------------------------------------------------