TSTP Solution File: MGT034-2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT034-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 22:19:21 EDT 2022

% Result   : Unsatisfiable 0.41s 0.61s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   64
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  137 (  22 unt;  53 nHn; 132 RR)
%            Number of literals    :  421 (  53 equ; 213 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_33,axiom,
    ( ~ environment(A)
    | ~ subpopulations(B,C,A,D)
    | ~ greater(growth_rate(C,D),growth_rate(B,D))
    | selection_favors(C,B,D) ) ).

cnf(l3_34,axiom,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).

cnf(mp_critical_point_means_FM_and_EP_35,axiom,
    ( ~ environment(A)
    | ~ in_environment(A,critical_point(A))
    | subpopulations(first_movers,efficient_producers,A,critical_point(A)) ) ).

cnf(mp_FM_and_EP_when_EP_appears_36,axiom,
    ( ~ environment(A)
    | ~ in_environment(A,appear(efficient_producers,A))
    | subpopulations(first_movers,efficient_producers,A,appear(efficient_producers,A)) ) ).

cnf(mp_difference_between_founding_rates_37,axiom,
    ( ~ decreases(difference(founding_rate(first_movers,A),founding_rate(efficient_producers,A)))
    | decreases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
    | decreases(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A))) ) ).

cnf(mp_decreasing_function_38,axiom,
    ( ~ environment(A)
    | ~ in_environment(A,B)
    | ~ greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
    | ~ greater_or_equal(C,appear(efficient_producers,A))
    | ~ greater(B,C)
    | ~ decreases(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)))
    | greater(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)),zero) ) ).

cnf(mp_negative_growth_rate_difference_39,axiom,
    ( ~ greater(zero,difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)))
    | greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ) ).

cnf(mp_positive_growth_rate_difference_41,axiom,
    ( ~ greater(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)),zero)
    | greater(growth_rate(first_movers,A),growth_rate(efficient_producers,A)) ) ).

cnf(mp_critical_time_points_46,axiom,
    ( ~ environment(A)
    | ~ in_environment(A,critical_point(A))
    | ~ greater_or_equal(B,appear(efficient_producers,A))
    | ~ greater(critical_point(A),B)
    | in_environment(A,B) ) ).

cnf(mp_symmetry_of_subpopulations_48,axiom,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | subpopulations(efficient_producers,first_movers,A,B) ) ).

cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | greater_or_equal(B,appear(efficient_producers,A)) ) ).

cnf(mp_greater_or_equal_50,axiom,
    ( ~ greater_or_equal(A,B)
    | greater(A,B)
    | A = B ) ).

cnf(mp_greater_or_equal_51,axiom,
    ( ~ greater(A,B)
    | greater_or_equal(A,B) ) ).

cnf(mp_greater_or_equal_52,axiom,
    ( A != B
    | greater_or_equal(A,B) ) ).

cnf(mp_relationship_of_growth_rates_53,axiom,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | greater(zero,difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)))
    | greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero) ) ).

cnf(d1_54,hypothesis,
    ( ~ environment(A)
    | B != critical_point(A)
    | ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).

cnf(a10_56,hypothesis,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ subpopulations(first_movers,efficient_producers,A,C)
    | ~ greater_or_equal(D,B)
    | ~ greater_or_equal(C,D)
    | subpopulations(first_movers,efficient_producers,A,D) ) ).

cnf(a12_57,hypothesis,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | decreases(difference(founding_rate(first_movers,B),founding_rate(efficient_producers,B))) ) ).

cnf(prove_t3_58,negated_conjecture,
    environment(sk1) ).

cnf(prove_t3_59,negated_conjecture,
    in_environment(sk1,critical_point(sk1)) ).

cnf(prove_t3_60,negated_conjecture,
    greater_or_equal(sk2,appear(efficient_producers,sk1)) ).

cnf(prove_t3_61,negated_conjecture,
    greater(critical_point(sk1),sk2) ).

cnf(prove_t3_62,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk2) ).

cnf(refute_0_0,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(subst,[],[mp_symmetry_of_subpopulations_48:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).

cnf(refute_0_1,plain,
    ( ~ greater(critical_point(sk1),sk2)
    | greater_or_equal(critical_point(sk1),sk2) ),
    inference(subst,[],[mp_greater_or_equal_51:[bind(A,$fot(critical_point(sk1))),bind(B,$fot(sk2))]]) ).

cnf(refute_0_2,plain,
    greater_or_equal(critical_point(sk1),sk2),
    inference(resolve,[$cnf( greater(critical_point(sk1),sk2) )],[prove_t3_61,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ environment(sk1)
    | ~ in_environment(sk1,critical_point(sk1))
    | subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) ),
    inference(subst,[],[mp_critical_point_means_FM_and_EP_35:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_4,plain,
    ( ~ environment(sk1)
    | subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) ),
    inference(resolve,[$cnf( in_environment(sk1,critical_point(sk1)) )],[prove_t3_59,refute_0_3]) ).

cnf(refute_0_5,plain,
    subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(X_48,critical_point(sk1))
    | ~ greater_or_equal(critical_point(sk1),X_48)
    | ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
    | subpopulations(first_movers,efficient_producers,sk1,X_48) ),
    inference(subst,[],[a10_56:[bind(A,$fot(sk1)),bind(B,$fot(critical_point(sk1))),bind(C,$fot(critical_point(sk1))),bind(D,$fot(X_48))]]) ).

cnf(refute_0_7,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(X_48,critical_point(sk1))
    | ~ greater_or_equal(critical_point(sk1),X_48)
    | subpopulations(first_movers,efficient_producers,sk1,X_48) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ greater_or_equal(X_48,critical_point(sk1))
    | ~ greater_or_equal(critical_point(sk1),X_48)
    | subpopulations(first_movers,efficient_producers,sk1,X_48) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ greater_or_equal(critical_point(sk1),sk2)
    | ~ greater_or_equal(sk2,critical_point(sk1))
    | subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(subst,[],[refute_0_8:[bind(X_48,$fot(sk2))]]) ).

cnf(refute_0_10,plain,
    ( ~ greater_or_equal(sk2,critical_point(sk1))
    | subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(resolve,[$cnf( greater_or_equal(critical_point(sk1),sk2) )],[refute_0_2,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ environment(sk1)
    | ~ in_environment(sk1,appear(efficient_producers,sk1))
    | subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
    inference(subst,[],[mp_FM_and_EP_when_EP_appears_36:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_12,plain,
    ( ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
    inference(subst,[],[mp_greater_or_equal_50:[bind(A,$fot(critical_point(sk1))),bind(B,$fot(appear(efficient_producers,sk1)))]]) ).

cnf(refute_0_13,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
    | greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)) ),
    inference(subst,[],[mp_FM_and_EP_members_EP_appeared_49:[bind(A,$fot(sk1)),bind(B,$fot(critical_point(sk1)))]]) ).

cnf(refute_0_14,plain,
    ( ~ environment(sk1)
    | greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) )],[refute_0_5,refute_0_13]) ).

cnf(refute_0_15,plain,
    greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)) )],[refute_0_15,refute_0_12]) ).

cnf(refute_0_17,plain,
    ( B != B
    | greater_or_equal(B,B) ),
    inference(subst,[],[mp_greater_or_equal_52:[bind(A,$fot(B))]]) ).

cnf(refute_0_18,plain,
    B = B,
    introduced(tautology,[refl,[$fot(B)]]) ).

cnf(refute_0_19,plain,
    greater_or_equal(B,B),
    inference(resolve,[$cnf( $equal(B,B) )],[refute_0_18,refute_0_17]) ).

cnf(refute_0_20,plain,
    greater_or_equal(appear(efficient_producers,X_25),appear(efficient_producers,X_25)),
    inference(subst,[],[refute_0_19:[bind(B,$fot(appear(efficient_producers,X_25)))]]) ).

cnf(refute_0_21,plain,
    ( ~ environment(X_25)
    | ~ greater(critical_point(X_25),appear(efficient_producers,X_25))
    | ~ greater_or_equal(appear(efficient_producers,X_25),appear(efficient_producers,X_25))
    | ~ in_environment(X_25,critical_point(X_25))
    | in_environment(X_25,appear(efficient_producers,X_25)) ),
    inference(subst,[],[mp_critical_time_points_46:[bind(A,$fot(X_25)),bind(B,$fot(appear(efficient_producers,X_25)))]]) ).

cnf(refute_0_22,plain,
    ( ~ environment(X_25)
    | ~ greater(critical_point(X_25),appear(efficient_producers,X_25))
    | ~ in_environment(X_25,critical_point(X_25))
    | in_environment(X_25,appear(efficient_producers,X_25)) ),
    inference(resolve,[$cnf( greater_or_equal(appear(efficient_producers,X_25),appear(efficient_producers,X_25)) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ environment(sk1)
    | ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
    | ~ in_environment(sk1,critical_point(sk1))
    | in_environment(sk1,appear(efficient_producers,sk1)) ),
    inference(subst,[],[refute_0_22:[bind(X_25,$fot(sk1))]]) ).

cnf(refute_0_24,plain,
    ( ~ environment(sk1)
    | ~ in_environment(sk1,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | in_environment(sk1,appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( greater(critical_point(sk1),appear(efficient_producers,sk1)) )],[refute_0_16,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ in_environment(sk1,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | in_environment(sk1,appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | in_environment(sk1,appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( in_environment(sk1,critical_point(sk1)) )],[prove_t3_59,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ environment(sk1)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( in_environment(sk1,appear(efficient_producers,sk1)) )],[refute_0_26,refute_0_11]) ).

cnf(refute_0_28,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(X_109,X_107)
    | ~ greater_or_equal(critical_point(sk1),X_109)
    | ~ subpopulations(first_movers,efficient_producers,sk1,X_107)
    | ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
    | subpopulations(first_movers,efficient_producers,sk1,X_109) ),
    inference(subst,[],[a10_56:[bind(A,$fot(sk1)),bind(B,$fot(X_107)),bind(C,$fot(critical_point(sk1))),bind(D,$fot(X_109))]]) ).

cnf(refute_0_30,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(X_109,X_107)
    | ~ greater_or_equal(critical_point(sk1),X_109)
    | ~ subpopulations(first_movers,efficient_producers,sk1,X_107)
    | subpopulations(first_movers,efficient_producers,sk1,X_109) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) )],[refute_0_5,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ greater_or_equal(X_109,X_107)
    | ~ greater_or_equal(critical_point(sk1),X_109)
    | ~ subpopulations(first_movers,efficient_producers,sk1,X_107)
    | subpopulations(first_movers,efficient_producers,sk1,X_109) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( ~ greater_or_equal(X_114,appear(efficient_producers,sk1))
    | ~ greater_or_equal(critical_point(sk1),X_114)
    | ~ subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
    | subpopulations(first_movers,efficient_producers,sk1,X_114) ),
    inference(subst,[],[refute_0_31:[bind(X_107,$fot(appear(efficient_producers,sk1))),bind(X_109,$fot(X_114))]]) ).

cnf(refute_0_33,plain,
    ( ~ greater_or_equal(X_114,appear(efficient_producers,sk1))
    | ~ greater_or_equal(critical_point(sk1),X_114)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(first_movers,efficient_producers,sk1,X_114) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) )],[refute_0_28,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ greater_or_equal(critical_point(sk1),sk2)
    | ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(subst,[],[refute_0_33:[bind(X_114,$fot(sk2))]]) ).

cnf(refute_0_35,plain,
    ( ~ greater_or_equal(critical_point(sk1),sk2)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(resolve,[$cnf( greater_or_equal(sk2,appear(efficient_producers,sk1)) )],[prove_t3_60,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(resolve,[$cnf( greater_or_equal(critical_point(sk1),sk2) )],[refute_0_2,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( ~ environment(sk1)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[refute_0_36,refute_0_0]) ).

cnf(refute_0_38,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_37]) ).

cnf(refute_0_39,plain,
    ( ~ environment(A)
    | ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
    | ~ subpopulations(efficient_producers,first_movers,A,sk2)
    | selection_favors(first_movers,efficient_producers,sk2) ),
    inference(subst,[],[mp1_high_growth_rates_33:[bind(B,$fot(efficient_producers)),bind(C,$fot(first_movers)),bind(D,$fot(sk2))]]) ).

cnf(refute_0_40,plain,
    ( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,sk2) ),
    inference(subst,[],[l3_34:[bind(B,$fot(sk2))]]) ).

cnf(refute_0_41,plain,
    ( critical_point(A) != critical_point(A)
    | ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,critical_point(A)),growth_rate(first_movers,critical_point(A))) ),
    inference(subst,[],[d1_54:[bind(B,$fot(critical_point(A)))]]) ).

cnf(refute_0_42,plain,
    critical_point(A) = critical_point(A),
    introduced(tautology,[refl,[$fot(critical_point(A))]]) ).

cnf(refute_0_43,plain,
    ( ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,critical_point(A)),growth_rate(first_movers,critical_point(A))) ),
    inference(resolve,[$cnf( $equal(critical_point(A),critical_point(A)) )],[refute_0_42,refute_0_41]) ).

cnf(refute_0_44,plain,
    ( ~ environment(sk1)
    | ~ greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
    inference(subst,[],[refute_0_43:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_45,plain,
    ( ~ greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(subst,[],[mp_positive_growth_rate_difference_41:[bind(A,$fot(sk2))]]) ).

cnf(refute_0_46,plain,
    ( ~ greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
    | greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
    inference(subst,[],[mp_negative_growth_rate_difference_39:[bind(A,$fot(critical_point(sk1)))]]) ).

cnf(refute_0_47,plain,
    ( ~ decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
    | 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(subst,[],[mp_difference_between_founding_rates_37:[bind(A,$fot(sk2))]]) ).

cnf(refute_0_48,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(subst,[],[a12_57:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).

cnf(refute_0_49,plain,
    ( ~ environment(sk1)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[refute_0_36,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( critical_point(sk1) = appear(efficient_producers,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(resolve,[$cnf( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) )],[refute_0_50,refute_0_47]) ).

cnf(refute_0_52,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
    | 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(subst,[],[mp_relationship_of_growth_rates_53:[bind(A,$fot(sk1)),bind(B,$fot(critical_point(sk1)))]]) ).

cnf(refute_0_53,plain,
    ( ~ environment(sk1)
    | 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(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) )],[refute_0_5,refute_0_52]) ).

cnf(refute_0_54,plain,
    ( 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(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_53]) ).

cnf(refute_0_55,plain,
    ( ~ decreases(difference(growth_rate(first_movers,X_145),growth_rate(efficient_producers,X_145)))
    | ~ environment(X_143)
    | ~ greater(critical_point(sk1),X_145)
    | ~ greater_or_equal(X_145,appear(efficient_producers,X_143))
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ in_environment(X_143,critical_point(sk1))
    | greater(difference(growth_rate(first_movers,X_145),growth_rate(efficient_producers,X_145)),zero) ),
    inference(subst,[],[mp_decreasing_function_38:[bind(A,$fot(X_143)),bind(B,$fot(critical_point(sk1))),bind(C,$fot(X_145))]]) ).

cnf(refute_0_56,plain,
    ( ~ decreases(difference(growth_rate(first_movers,X_145),growth_rate(efficient_producers,X_145)))
    | ~ environment(X_143)
    | ~ greater(critical_point(sk1),X_145)
    | ~ greater_or_equal(X_145,appear(efficient_producers,X_143))
    | ~ in_environment(X_143,critical_point(sk1))
    | greater(difference(growth_rate(first_movers,X_145),growth_rate(efficient_producers,X_145)),zero)
    | greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
    inference(resolve,[$cnf( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    ( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | ~ environment(X_162)
    | ~ greater(critical_point(sk1),sk2)
    | ~ greater_or_equal(sk2,appear(efficient_producers,X_162))
    | ~ in_environment(X_162,critical_point(sk1))
    | 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(subst,[],[refute_0_56:[bind(X_143,$fot(X_162)),bind(X_145,$fot(sk2))]]) ).

cnf(refute_0_58,plain,
    ( ~ environment(X_162)
    | ~ greater(critical_point(sk1),sk2)
    | ~ greater_or_equal(sk2,appear(efficient_producers,X_162))
    | ~ in_environment(X_162,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) )],[refute_0_51,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( ~ environment(X_162)
    | ~ greater_or_equal(sk2,appear(efficient_producers,X_162))
    | ~ in_environment(X_162,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( greater(critical_point(sk1),sk2) )],[prove_t3_61,refute_0_58]) ).

cnf(refute_0_60,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ in_environment(sk1,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(subst,[],[refute_0_59:[bind(X_162,$fot(sk1))]]) ).

cnf(refute_0_61,plain,
    ( ~ environment(sk1)
    | ~ in_environment(sk1,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( greater_or_equal(sk2,appear(efficient_producers,sk1)) )],[prove_t3_60,refute_0_60]) ).

cnf(refute_0_62,plain,
    ( ~ in_environment(sk1,critical_point(sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( in_environment(sk1,critical_point(sk1)) )],[prove_t3_59,refute_0_62]) ).

cnf(refute_0_64,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
    | greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
    inference(resolve,[$cnf( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) )],[refute_0_63,refute_0_46]) ).

cnf(refute_0_65,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) )],[refute_0_64,refute_0_45]) ).

cnf(refute_0_66,plain,
    ( ~ environment(sk1)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) )],[refute_0_65,refute_0_44]) ).

cnf(refute_0_67,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_66]) ).

cnf(refute_0_68,plain,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,sk2)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[refute_0_67,refute_0_40]) ).

cnf(refute_0_69,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(subst,[],[refute_0_68:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_70,plain,
    ( ~ environment(sk1)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[refute_0_36,refute_0_69]) ).

cnf(refute_0_71,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_70]) ).

cnf(refute_0_72,plain,
    ( ~ environment(A)
    | ~ subpopulations(efficient_producers,first_movers,A,sk2)
    | critical_point(sk1) = appear(efficient_producers,sk1)
    | selection_favors(first_movers,efficient_producers,sk2) ),
    inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) )],[refute_0_71,refute_0_39]) ).

cnf(refute_0_73,plain,
    ( ~ environment(A)
    | ~ subpopulations(efficient_producers,first_movers,A,sk2)
    | critical_point(sk1) = appear(efficient_producers,sk1) ),
    inference(resolve,[$cnf( selection_favors(first_movers,efficient_producers,sk2) )],[refute_0_72,prove_t3_62]) ).

cnf(refute_0_74,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
    | critical_point(sk1) = appear(efficient_producers,sk1) ),
    inference(subst,[],[refute_0_73:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_75,plain,
    ( ~ environment(sk1)
    | critical_point(sk1) = appear(efficient_producers,sk1) ),
    inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,sk1,sk2) )],[refute_0_38,refute_0_74]) ).

cnf(refute_0_76,plain,
    critical_point(sk1) = appear(efficient_producers,sk1),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_75]) ).

cnf(refute_0_77,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_78,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_79,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( critical_point(sk1) != appear(efficient_producers,sk1)
    | appear(efficient_producers,sk1) = critical_point(sk1) ),
    inference(subst,[],[refute_0_79:[bind(X,$fot(critical_point(sk1))),bind(Y,$fot(appear(efficient_producers,sk1)))]]) ).

cnf(refute_0_81,plain,
    appear(efficient_producers,sk1) = critical_point(sk1),
    inference(resolve,[$cnf( $equal(critical_point(sk1),appear(efficient_producers,sk1)) )],[refute_0_76,refute_0_80]) ).

cnf(refute_0_82,plain,
    ( appear(efficient_producers,sk1) != critical_point(sk1)
    | ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | greater_or_equal(sk2,critical_point(sk1)) ),
    introduced(tautology,[equality,[$cnf( greater_or_equal(sk2,appear(efficient_producers,sk1)) ),[1],$fot(critical_point(sk1))]]) ).

cnf(refute_0_83,plain,
    ( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | greater_or_equal(sk2,critical_point(sk1)) ),
    inference(resolve,[$cnf( $equal(appear(efficient_producers,sk1),critical_point(sk1)) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    greater_or_equal(sk2,critical_point(sk1)),
    inference(resolve,[$cnf( greater_or_equal(sk2,appear(efficient_producers,sk1)) )],[prove_t3_60,refute_0_83]) ).

cnf(refute_0_85,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    inference(resolve,[$cnf( greater_or_equal(sk2,critical_point(sk1)) )],[refute_0_84,refute_0_10]) ).

cnf(refute_0_86,plain,
    ( ~ environment(sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[refute_0_85,refute_0_0]) ).

cnf(refute_0_87,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | ~ environment(X_143)
    | ~ greater(critical_point(sk1),sk2)
    | ~ greater_or_equal(sk2,appear(efficient_producers,X_143))
    | ~ in_environment(X_143,critical_point(sk1))
    | 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(subst,[],[refute_0_56:[bind(X_145,$fot(sk2))]]) ).

cnf(refute_0_89,plain,
    ( ~ environment(sk1)
    | decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[refute_0_85,refute_0_48]) ).

cnf(refute_0_90,plain,
    decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_89]) ).

cnf(refute_0_91,plain,
    ( 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(resolve,[$cnf( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) )],[refute_0_90,refute_0_47]) ).

cnf(refute_0_92,plain,
    ( ~ environment(X_143)
    | ~ greater(critical_point(sk1),sk2)
    | ~ greater_or_equal(sk2,appear(efficient_producers,X_143))
    | ~ in_environment(X_143,critical_point(sk1))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) )],[refute_0_91,refute_0_88]) ).

cnf(refute_0_93,plain,
    ( ~ environment(X_143)
    | ~ greater_or_equal(sk2,appear(efficient_producers,X_143))
    | ~ in_environment(X_143,critical_point(sk1))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( greater(critical_point(sk1),sk2) )],[prove_t3_61,refute_0_92]) ).

cnf(refute_0_94,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ in_environment(sk1,critical_point(sk1))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(subst,[],[refute_0_93:[bind(X_143,$fot(sk1))]]) ).

cnf(refute_0_95,plain,
    ( appear(efficient_producers,sk1) != critical_point(sk1)
    | ~ greater_or_equal(sk2,critical_point(sk1))
    | greater_or_equal(sk2,appear(efficient_producers,sk1)) ),
    introduced(tautology,[equality,[$cnf( ~ greater_or_equal(sk2,appear(efficient_producers,sk1)) ),[1],$fot(critical_point(sk1))]]) ).

cnf(refute_0_96,plain,
    ( ~ greater_or_equal(sk2,critical_point(sk1))
    | greater_or_equal(sk2,appear(efficient_producers,sk1)) ),
    inference(resolve,[$cnf( $equal(appear(efficient_producers,sk1),critical_point(sk1)) )],[refute_0_81,refute_0_95]) ).

cnf(refute_0_97,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(sk2,critical_point(sk1))
    | ~ in_environment(sk1,critical_point(sk1))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( greater_or_equal(sk2,appear(efficient_producers,sk1)) )],[refute_0_96,refute_0_94]) ).

cnf(refute_0_98,plain,
    ( ~ greater_or_equal(sk2,critical_point(sk1))
    | ~ in_environment(sk1,critical_point(sk1))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_97]) ).

cnf(refute_0_99,plain,
    ( ~ in_environment(sk1,critical_point(sk1))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( greater_or_equal(sk2,critical_point(sk1)) )],[refute_0_84,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | 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(resolve,[$cnf( in_environment(sk1,critical_point(sk1)) )],[prove_t3_59,refute_0_99]) ).

cnf(refute_0_101,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
    | greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
    inference(resolve,[$cnf( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) )],[refute_0_100,refute_0_46]) ).

cnf(refute_0_102,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) )],[refute_0_101,refute_0_45]) ).

cnf(refute_0_103,plain,
    ( ~ environment(sk1)
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) )],[refute_0_102,refute_0_44]) ).

cnf(refute_0_104,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_103]) ).

cnf(refute_0_105,plain,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,sk2)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[refute_0_104,refute_0_40]) ).

cnf(refute_0_106,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(subst,[],[refute_0_105:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_107,plain,
    ( ~ environment(sk1)
    | greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[refute_0_85,refute_0_106]) ).

cnf(refute_0_108,plain,
    greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_107]) ).

cnf(refute_0_109,plain,
    ( ~ environment(A)
    | ~ subpopulations(efficient_producers,first_movers,A,sk2)
    | selection_favors(first_movers,efficient_producers,sk2) ),
    inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) )],[refute_0_108,refute_0_39]) ).

cnf(refute_0_110,plain,
    ( ~ environment(A)
    | ~ subpopulations(efficient_producers,first_movers,A,sk2) ),
    inference(resolve,[$cnf( selection_favors(first_movers,efficient_producers,sk2) )],[refute_0_109,prove_t3_62]) ).

cnf(refute_0_111,plain,
    ( ~ environment(sk1)
    | ~ subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(subst,[],[refute_0_110:[bind(A,$fot(sk1))]]) ).

cnf(refute_0_112,plain,
    ~ environment(sk1),
    inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,sk1,sk2) )],[refute_0_87,refute_0_111]) ).

cnf(refute_0_113,plain,
    $false,
    inference(resolve,[$cnf( environment(sk1) )],[prove_t3_58,refute_0_112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT034-2 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 08:06:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.61  
% 0.41/0.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.41/0.62  
%------------------------------------------------------------------------------