TSTP Solution File: MGT034-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT034-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:49:38 EDT 2023

% Result   : Unsatisfiable 7.89s 3.00s
% Output   : CNFRefutation 7.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  178 (  62 unt;  20 typ;   0 def)
%            Number of atoms       :  397 (  12 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  497 ( 258   ~; 239   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  15   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  133 (; 133   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subpopulations > selection_favors > in_environment > greater_or_equal > greater > environment > decreases > growth_rate > founding_rate > disbanding_rate > difference > cardinality_at_time > appear > #nlpp > start_time > critical_point > zero > sk2 > sk1 > first_movers > efficient_producers

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(subpopulations,type,
    subpopulations: ( $i * $i * $i * $i ) > $o ).

tff(greater,type,
    greater: ( $i * $i ) > $o ).

tff(in_environment,type,
    in_environment: ( $i * $i ) > $o ).

tff(founding_rate,type,
    founding_rate: ( $i * $i ) > $i ).

tff(sk2,type,
    sk2: $i ).

tff(sk1,type,
    sk1: $i ).

tff(appear,type,
    appear: ( $i * $i ) > $i ).

tff(efficient_producers,type,
    efficient_producers: $i ).

tff(disbanding_rate,type,
    disbanding_rate: ( $i * $i ) > $i ).

tff(cardinality_at_time,type,
    cardinality_at_time: ( $i * $i ) > $i ).

tff(critical_point,type,
    critical_point: $i > $i ).

tff(growth_rate,type,
    growth_rate: ( $i * $i ) > $i ).

tff(decreases,type,
    decreases: $i > $o ).

tff(environment,type,
    environment: $i > $o ).

tff(start_time,type,
    start_time: $i > $i ).

tff(first_movers,type,
    first_movers: $i ).

tff(difference,type,
    difference: ( $i * $i ) > $i ).

tff(greater_or_equal,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(selection_favors,type,
    selection_favors: ( $i * $i * $i ) > $o ).

tff(zero,type,
    zero: $i ).

tff(f_255,axiom,
    environment(sk1),
    file(unknown,unknown) ).

tff(f_258,axiom,
    greater(critical_point(sk1),sk2),
    file(unknown,unknown) ).

tff(f_256,axiom,
    in_environment(sk1,critical_point(sk1)),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [A] :
      ( ~ environment(A)
      | ~ in_environment(A,critical_point(A))
      | subpopulations(first_movers,efficient_producers,A,critical_point(A)) ),
    file(unknown,unknown) ).

tff(f_179,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | greater_or_equal(B,appear(efficient_producers,A)) ),
    file(unknown,unknown) ).

tff(f_186,axiom,
    ! [A,B] :
      ( ~ greater_or_equal(A,B)
      | greater(A,B)
      | ( A = B ) ),
    file(unknown,unknown) ).

tff(f_196,axiom,
    ! [A,B] :
      ( ( A != B )
      | greater_or_equal(A,B) ),
    file(unknown,unknown) ).

tff(f_149,axiom,
    ! [A,B] :
      ( ~ 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) ),
    file(unknown,unknown) ).

tff(f_257,axiom,
    greater_or_equal(sk2,appear(efficient_producers,sk1)),
    file(unknown,unknown) ).

tff(f_125,axiom,
    ! [A,B,C,D] :
      ( ~ environment(A)
      | ~ in_environment(A,B)
      | ~ in_environment(A,C)
      | ~ greater_or_equal(C,D)
      | ~ greater_or_equal(D,B)
      | in_environment(A,D) ),
    file(unknown,unknown) ).

tff(f_191,axiom,
    ! [A,B] :
      ( ~ greater(A,B)
      | greater_or_equal(A,B) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [A] :
      ( ~ environment(A)
      | ~ in_environment(A,appear(efficient_producers,A))
      | subpopulations(first_movers,efficient_producers,A,appear(efficient_producers,A)) ),
    file(unknown,unknown) ).

tff(f_246,axiom,
    ! [A,B,C,D] :
      ( ~ 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) ),
    file(unknown,unknown) ).

tff(f_171,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | subpopulations(efficient_producers,first_movers,A,B) ),
    file(unknown,unknown) ).

tff(f_260,axiom,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    file(unknown,unknown) ).

tff(f_254,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | decreases(difference(founding_rate(first_movers,B),founding_rate(efficient_producers,B))) ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ! [A] :
      ( ~ 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))) ),
    file(unknown,unknown) ).

tff(f_206,axiom,
    ! [A,B] :
      ( ~ 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) ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ! [A,B,C] :
      ( ~ 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) ),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ! [A] :
      ( ~ greater(zero,difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)))
      | greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
    file(unknown,unknown) ).

tff(f_215,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ( B != critical_point(A) )
      | ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
    file(unknown,unknown) ).

tff(f_45,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
    file(unknown,unknown) ).

tff(f_103,axiom,
    ! [A] :
      ( ~ greater(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)),zero)
      | greater(growth_rate(first_movers,A),growth_rate(efficient_producers,A)) ),
    file(unknown,unknown) ).

tff(f_36,axiom,
    ! [A,B,C,D] :
      ( ~ environment(A)
      | ~ subpopulations(B,C,A,D)
      | ~ greater(growth_rate(C,D),growth_rate(B,D))
      | selection_favors(C,B,D) ),
    file(unknown,unknown) ).

tff(c_52,plain,
    environment(sk1),
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_58,plain,
    greater(critical_point(sk1),sk2),
    inference(cnfTransformation,[status(thm)],[f_258]) ).

tff(c_54,plain,
    in_environment(sk1,critical_point(sk1)),
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_6,plain,
    ! [A_7] :
      ( subpopulations(first_movers,efficient_producers,A_7,critical_point(A_7))
      | ~ in_environment(A_7,critical_point(A_7))
      | ~ environment(A_7) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_91,plain,
    ! [B_61,A_62] :
      ( greater_or_equal(B_61,appear(efficient_producers,A_62))
      | ~ subpopulations(first_movers,efficient_producers,A_62,B_61)
      | ~ environment(A_62) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_36,plain,
    ! [B_32,A_31] :
      ( ( B_32 = A_31 )
      | greater(A_31,B_32)
      | ~ greater_or_equal(A_31,B_32) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_95,plain,
    ! [A_62,B_61] :
      ( ( appear(efficient_producers,A_62) = B_61 )
      | greater(B_61,appear(efficient_producers,A_62))
      | ~ subpopulations(first_movers,efficient_producers,A_62,B_61)
      | ~ environment(A_62) ),
    inference(resolution,[status(thm)],[c_91,c_36]) ).

tff(c_40,plain,
    ! [B_36] : greater_or_equal(B_36,B_36),
    inference(cnfTransformation,[status(thm)],[f_196]) ).

tff(c_197,plain,
    ! [A_102,B_103] :
      ( in_environment(A_102,B_103)
      | ~ greater(critical_point(A_102),B_103)
      | ~ greater_or_equal(B_103,appear(efficient_producers,A_102))
      | ~ in_environment(A_102,critical_point(A_102))
      | ~ environment(A_102) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_414,plain,
    ! [A_133] :
      ( in_environment(A_133,appear(efficient_producers,A_133))
      | ~ greater(critical_point(A_133),appear(efficient_producers,A_133))
      | ~ in_environment(A_133,critical_point(A_133))
      | ~ environment(A_133) ),
    inference(resolution,[status(thm)],[c_40,c_197]) ).

tff(c_655,plain,
    ! [A_178] :
      ( in_environment(A_178,appear(efficient_producers,A_178))
      | ~ in_environment(A_178,critical_point(A_178))
      | ( appear(efficient_producers,A_178) = critical_point(A_178) )
      | ~ subpopulations(first_movers,efficient_producers,A_178,critical_point(A_178))
      | ~ environment(A_178) ),
    inference(resolution,[status(thm)],[c_95,c_414]) ).

tff(c_660,plain,
    ! [A_179] :
      ( in_environment(A_179,appear(efficient_producers,A_179))
      | ( appear(efficient_producers,A_179) = critical_point(A_179) )
      | ~ in_environment(A_179,critical_point(A_179))
      | ~ environment(A_179) ),
    inference(resolution,[status(thm)],[c_6,c_655]) ).

tff(c_56,plain,
    greater_or_equal(sk2,appear(efficient_producers,sk1)),
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_126,plain,
    ! [A_78,D_79,B_80,C_81] :
      ( in_environment(A_78,D_79)
      | ~ greater_or_equal(D_79,B_80)
      | ~ greater_or_equal(C_81,D_79)
      | ~ in_environment(A_78,C_81)
      | ~ in_environment(A_78,B_80)
      | ~ environment(A_78) ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_143,plain,
    ! [A_84,C_85] :
      ( in_environment(A_84,sk2)
      | ~ greater_or_equal(C_85,sk2)
      | ~ in_environment(A_84,C_85)
      | ~ in_environment(A_84,appear(efficient_producers,sk1))
      | ~ environment(A_84) ),
    inference(resolution,[status(thm)],[c_56,c_126]) ).

tff(c_147,plain,
    ( in_environment(sk1,sk2)
    | ~ greater_or_equal(critical_point(sk1),sk2)
    | ~ in_environment(sk1,appear(efficient_producers,sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_54,c_143]) ).

tff(c_151,plain,
    ( in_environment(sk1,sk2)
    | ~ greater_or_equal(critical_point(sk1),sk2)
    | ~ in_environment(sk1,appear(efficient_producers,sk1)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_147]) ).

tff(c_152,plain,
    ~ in_environment(sk1,appear(efficient_producers,sk1)),
    inference(splitLeft,[status(thm)],[c_151]) ).

tff(c_684,plain,
    ( ( appear(efficient_producers,sk1) = critical_point(sk1) )
    | ~ in_environment(sk1,critical_point(sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_660,c_152]) ).

tff(c_705,plain,
    appear(efficient_producers,sk1) = critical_point(sk1),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_684]) ).

tff(c_64,plain,
    ! [B_54,A_55] :
      ( ( B_54 = A_55 )
      | greater(A_55,B_54)
      | ~ greater_or_equal(A_55,B_54) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_75,plain,
    ( ( appear(efficient_producers,sk1) = sk2 )
    | greater(sk2,appear(efficient_producers,sk1)) ),
    inference(resolution,[status(thm)],[c_56,c_64]) ).

tff(c_83,plain,
    greater(sk2,appear(efficient_producers,sk1)),
    inference(splitLeft,[status(thm)],[c_75]) ).

tff(c_204,plain,
    ( in_environment(sk1,sk2)
    | ~ greater(critical_point(sk1),sk2)
    | ~ in_environment(sk1,critical_point(sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_56,c_197]) ).

tff(c_212,plain,
    in_environment(sk1,sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_58,c_204]) ).

tff(c_38,plain,
    ! [A_33,B_34] :
      ( greater_or_equal(A_33,B_34)
      | ~ greater(A_33,B_34) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_154,plain,
    ! [A_87,A_88,C_89,B_90] :
      ( in_environment(A_87,A_88)
      | ~ greater_or_equal(C_89,A_88)
      | ~ in_environment(A_87,C_89)
      | ~ in_environment(A_87,B_90)
      | ~ environment(A_87)
      | ~ greater(A_88,B_90) ),
    inference(resolution,[status(thm)],[c_38,c_126]) ).

tff(c_167,plain,
    ! [A_87,B_34,A_33,B_90] :
      ( in_environment(A_87,B_34)
      | ~ in_environment(A_87,A_33)
      | ~ in_environment(A_87,B_90)
      | ~ environment(A_87)
      | ~ greater(B_34,B_90)
      | ~ greater(A_33,B_34) ),
    inference(resolution,[status(thm)],[c_38,c_154]) ).

tff(c_217,plain,
    ! [B_34,B_90] :
      ( in_environment(sk1,B_34)
      | ~ in_environment(sk1,B_90)
      | ~ environment(sk1)
      | ~ greater(B_34,B_90)
      | ~ greater(sk2,B_34) ),
    inference(resolution,[status(thm)],[c_212,c_167]) ).

tff(c_239,plain,
    ! [B_106,B_107] :
      ( in_environment(sk1,B_106)
      | ~ in_environment(sk1,B_107)
      | ~ greater(B_106,B_107)
      | ~ greater(sk2,B_106) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_217]) ).

tff(c_252,plain,
    ! [B_108] :
      ( in_environment(sk1,B_108)
      | ~ greater(B_108,sk2)
      | ~ greater(sk2,B_108) ),
    inference(resolution,[status(thm)],[c_212,c_239]) ).

tff(c_265,plain,
    ( ~ greater(appear(efficient_producers,sk1),sk2)
    | ~ greater(sk2,appear(efficient_producers,sk1)) ),
    inference(resolution,[status(thm)],[c_252,c_152]) ).

tff(c_278,plain,
    ~ greater(appear(efficient_producers,sk1),sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_265]) ).

tff(c_712,plain,
    ~ greater(critical_point(sk1),sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_705,c_278]) ).

tff(c_720,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_712]) ).

tff(c_722,plain,
    in_environment(sk1,appear(efficient_producers,sk1)),
    inference(splitRight,[status(thm)],[c_151]) ).

tff(c_8,plain,
    ! [A_8] :
      ( subpopulations(first_movers,efficient_producers,A_8,appear(efficient_producers,A_8))
      | ~ in_environment(A_8,appear(efficient_producers,A_8))
      | ~ environment(A_8) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_721,plain,
    ( ~ greater_or_equal(critical_point(sk1),sk2)
    | in_environment(sk1,sk2) ),
    inference(splitRight,[status(thm)],[c_151]) ).

tff(c_728,plain,
    ~ greater_or_equal(critical_point(sk1),sk2),
    inference(splitLeft,[status(thm)],[c_721]) ).

tff(c_731,plain,
    ~ greater(critical_point(sk1),sk2),
    inference(resolution,[status(thm)],[c_38,c_728]) ).

tff(c_735,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_731]) ).

tff(c_737,plain,
    greater_or_equal(critical_point(sk1),sk2),
    inference(splitRight,[status(thm)],[c_721]) ).

tff(c_873,plain,
    ! [A_207,D_208,C_209,B_210] :
      ( subpopulations(first_movers,efficient_producers,A_207,D_208)
      | ~ greater_or_equal(C_209,D_208)
      | ~ greater_or_equal(D_208,B_210)
      | ~ subpopulations(first_movers,efficient_producers,A_207,C_209)
      | ~ subpopulations(first_movers,efficient_producers,A_207,B_210)
      | ~ environment(A_207) ),
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_1441,plain,
    ! [A_287,B_288] :
      ( subpopulations(first_movers,efficient_producers,A_287,sk2)
      | ~ greater_or_equal(sk2,B_288)
      | ~ subpopulations(first_movers,efficient_producers,A_287,critical_point(sk1))
      | ~ subpopulations(first_movers,efficient_producers,A_287,B_288)
      | ~ environment(A_287) ),
    inference(resolution,[status(thm)],[c_737,c_873]) ).

tff(c_1444,plain,
    ! [B_288] :
      ( subpopulations(first_movers,efficient_producers,sk1,sk2)
      | ~ greater_or_equal(sk2,B_288)
      | ~ subpopulations(first_movers,efficient_producers,sk1,B_288)
      | ~ in_environment(sk1,critical_point(sk1))
      | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_6,c_1441]) ).

tff(c_1447,plain,
    ! [B_288] :
      ( subpopulations(first_movers,efficient_producers,sk1,sk2)
      | ~ greater_or_equal(sk2,B_288)
      | ~ subpopulations(first_movers,efficient_producers,sk1,B_288) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_1444]) ).

tff(c_1468,plain,
    ! [B_293] :
      ( ~ greater_or_equal(sk2,B_293)
      | ~ subpopulations(first_movers,efficient_producers,sk1,B_293) ),
    inference(splitLeft,[status(thm)],[c_1447]) ).

tff(c_1472,plain,
    ( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ in_environment(sk1,appear(efficient_producers,sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_8,c_1468]) ).

tff(c_1480,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_722,c_56,c_1472]) ).

tff(c_1481,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    inference(splitRight,[status(thm)],[c_1447]) ).

tff(c_32,plain,
    ! [A_27,B_28] :
      ( subpopulations(efficient_producers,first_movers,A_27,B_28)
      | ~ subpopulations(first_movers,efficient_producers,A_27,B_28)
      | ~ environment(A_27) ),
    inference(cnfTransformation,[status(thm)],[f_171]) ).

tff(c_1491,plain,
    ( subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_1481,c_32]) ).

tff(c_1502,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_1491]) ).

tff(c_60,plain,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_50,plain,
    ! [B_49,A_48] :
      ( decreases(difference(founding_rate(first_movers,B_49),founding_rate(efficient_producers,B_49)))
      | ~ subpopulations(first_movers,efficient_producers,A_48,B_49)
      | ~ environment(A_48) ),
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_1488,plain,
    ( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_1481,c_50]) ).

tff(c_1499,plain,
    decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_1488]) ).

tff(c_10,plain,
    ! [A_9] :
      ( decreases(difference(growth_rate(first_movers,A_9),growth_rate(efficient_producers,A_9)))
      | decreases(difference(disbanding_rate(first_movers,A_9),disbanding_rate(efficient_producers,A_9)))
      | ~ decreases(difference(founding_rate(first_movers,A_9),founding_rate(efficient_producers,A_9))) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_985,plain,
    ! [B_221,A_222] :
      ( greater_or_equal(difference(growth_rate(first_movers,B_221),growth_rate(efficient_producers,B_221)),zero)
      | greater(zero,difference(growth_rate(first_movers,B_221),growth_rate(efficient_producers,B_221)))
      | ~ subpopulations(first_movers,efficient_producers,A_222,B_221)
      | ~ environment(A_222) ),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_991,plain,
    ! [A_7] :
      ( greater_or_equal(difference(growth_rate(first_movers,critical_point(A_7)),growth_rate(efficient_producers,critical_point(A_7))),zero)
      | greater(zero,difference(growth_rate(first_movers,critical_point(A_7)),growth_rate(efficient_producers,critical_point(A_7))))
      | ~ in_environment(A_7,critical_point(A_7))
      | ~ environment(A_7) ),
    inference(resolution,[status(thm)],[c_6,c_985]) ).

tff(c_1037,plain,
    ! [C_229,B_230,A_231] :
      ( greater(difference(growth_rate(first_movers,C_229),growth_rate(efficient_producers,C_229)),zero)
      | ~ decreases(difference(growth_rate(first_movers,C_229),growth_rate(efficient_producers,C_229)))
      | ~ greater(B_230,C_229)
      | ~ greater_or_equal(C_229,appear(efficient_producers,A_231))
      | ~ greater_or_equal(difference(growth_rate(first_movers,B_230),growth_rate(efficient_producers,B_230)),zero)
      | ~ in_environment(A_231,B_230)
      | ~ environment(A_231) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_1055,plain,
    ! [A_231] :
      ( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
      | ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
      | ~ greater_or_equal(sk2,appear(efficient_producers,A_231))
      | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
      | ~ in_environment(A_231,critical_point(sk1))
      | ~ environment(A_231) ),
    inference(resolution,[status(thm)],[c_58,c_1037]) ).

tff(c_2085,plain,
    ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero),
    inference(splitLeft,[status(thm)],[c_1055]) ).

tff(c_2088,plain,
    ( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
    | ~ in_environment(sk1,critical_point(sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_991,c_2085]) ).

tff(c_2094,plain,
    greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_2088]) ).

tff(c_14,plain,
    ! [A_13] :
      ( greater(growth_rate(efficient_producers,A_13),growth_rate(first_movers,A_13))
      | ~ greater(zero,difference(growth_rate(first_movers,A_13),growth_rate(efficient_producers,A_13))) ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_2126,plain,
    greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))),
    inference(resolution,[status(thm)],[c_2094,c_14]) ).

tff(c_44,plain,
    ! [A_39] :
      ( ~ greater(growth_rate(efficient_producers,critical_point(A_39)),growth_rate(first_movers,critical_point(A_39)))
      | ~ environment(A_39) ),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_2149,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c_2126,c_44]) ).

tff(c_2163,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_2149]) ).

tff(c_2164,plain,
    ! [A_231] :
      ( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
      | ~ greater_or_equal(sk2,appear(efficient_producers,A_231))
      | ~ in_environment(A_231,critical_point(sk1))
      | ~ environment(A_231)
      | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
    inference(splitRight,[status(thm)],[c_1055]) ).

tff(c_2228,plain,
    ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))),
    inference(splitLeft,[status(thm)],[c_2164]) ).

tff(c_2231,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(resolution,[status(thm)],[c_10,c_2228]) ).

tff(c_2234,plain,
    decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
    inference(demodulation,[status(thm),theory(equality)],[c_1499,c_2231]) ).

tff(c_4,plain,
    ! [B_6,A_5] :
      ( ~ decreases(difference(disbanding_rate(first_movers,B_6),disbanding_rate(efficient_producers,B_6)))
      | ~ subpopulations(first_movers,efficient_producers,A_5,B_6)
      | ~ environment(A_5) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_2238,plain,
    ! [A_367] :
      ( ~ subpopulations(first_movers,efficient_producers,A_367,sk2)
      | ~ environment(A_367) ),
    inference(resolution,[status(thm)],[c_2234,c_4]) ).

tff(c_2245,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c_1481,c_2238]) ).

tff(c_2252,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_2245]) ).

tff(c_2253,plain,
    ! [A_231] :
      ( ~ greater_or_equal(sk2,appear(efficient_producers,A_231))
      | ~ in_environment(A_231,critical_point(sk1))
      | ~ environment(A_231)
      | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
    inference(splitRight,[status(thm)],[c_2164]) ).

tff(c_2266,plain,
    ! [A_370] :
      ( ~ greater_or_equal(sk2,appear(efficient_producers,A_370))
      | ~ in_environment(A_370,critical_point(sk1))
      | ~ environment(A_370) ),
    inference(splitLeft,[status(thm)],[c_2253]) ).

tff(c_2273,plain,
    ( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_54,c_2266]) ).

tff(c_2280,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_56,c_2273]) ).

tff(c_2281,plain,
    greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero),
    inference(splitRight,[status(thm)],[c_2253]) ).

tff(c_18,plain,
    ! [A_15] :
      ( greater(growth_rate(first_movers,A_15),growth_rate(efficient_producers,A_15))
      | ~ greater(difference(growth_rate(first_movers,A_15),growth_rate(efficient_producers,A_15)),zero) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_2312,plain,
    greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),
    inference(resolution,[status(thm)],[c_2281,c_18]) ).

tff(c_2,plain,
    ! [C_3,B_2,D_4,A_1] :
      ( selection_favors(C_3,B_2,D_4)
      | ~ greater(growth_rate(C_3,D_4),growth_rate(B_2,D_4))
      | ~ subpopulations(B_2,C_3,A_1,D_4)
      | ~ environment(A_1) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_2332,plain,
    ! [A_1] :
      ( selection_favors(first_movers,efficient_producers,sk2)
      | ~ subpopulations(efficient_producers,first_movers,A_1,sk2)
      | ~ environment(A_1) ),
    inference(resolution,[status(thm)],[c_2312,c_2]) ).

tff(c_2346,plain,
    ! [A_371] :
      ( ~ subpopulations(efficient_producers,first_movers,A_371,sk2)
      | ~ environment(A_371) ),
    inference(negUnitSimplification,[status(thm)],[c_60,c_2332]) ).

tff(c_2353,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c_1502,c_2346]) ).

tff(c_2360,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_2353]) ).

tff(c_2361,plain,
    appear(efficient_producers,sk1) = sk2,
    inference(splitRight,[status(thm)],[c_75]) ).

tff(c_2400,plain,
    ! [A_379] :
      ( subpopulations(first_movers,efficient_producers,A_379,appear(efficient_producers,A_379))
      | ~ in_environment(A_379,appear(efficient_producers,A_379))
      | ~ environment(A_379) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_2410,plain,
    ( subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ in_environment(sk1,appear(efficient_producers,sk1))
    | ~ environment(sk1) ),
    inference(superposition,[status(thm),theory(equality)],[c_2361,c_2400]) ).

tff(c_2416,plain,
    ( subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ in_environment(sk1,sk2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_2361,c_2410]) ).

tff(c_2417,plain,
    ~ in_environment(sk1,sk2),
    inference(splitLeft,[status(thm)],[c_2416]) ).

tff(c_2540,plain,
    ! [A_413,B_414] :
      ( in_environment(A_413,B_414)
      | ~ greater(critical_point(A_413),B_414)
      | ~ greater_or_equal(B_414,appear(efficient_producers,A_413))
      | ~ in_environment(A_413,critical_point(A_413))
      | ~ environment(A_413) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_2544,plain,
    ! [B_414] :
      ( in_environment(sk1,B_414)
      | ~ greater(critical_point(sk1),B_414)
      | ~ greater_or_equal(B_414,sk2)
      | ~ in_environment(sk1,critical_point(sk1))
      | ~ environment(sk1) ),
    inference(superposition,[status(thm),theory(equality)],[c_2361,c_2540]) ).

tff(c_2556,plain,
    ! [B_415] :
      ( in_environment(sk1,B_415)
      | ~ greater(critical_point(sk1),B_415)
      | ~ greater_or_equal(B_415,sk2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_2544]) ).

tff(c_2563,plain,
    ( in_environment(sk1,sk2)
    | ~ greater_or_equal(sk2,sk2) ),
    inference(resolution,[status(thm)],[c_58,c_2556]) ).

tff(c_2567,plain,
    in_environment(sk1,sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_40,c_2563]) ).

tff(c_2569,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2417,c_2567]) ).

tff(c_2570,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    inference(splitRight,[status(thm)],[c_2416]) ).

tff(c_2574,plain,
    ( subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_2570,c_32]) ).

tff(c_2580,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_2574]) ).

tff(c_2583,plain,
    ! [B_416,A_417] :
      ( decreases(difference(founding_rate(first_movers,B_416),founding_rate(efficient_producers,B_416)))
      | ~ subpopulations(first_movers,efficient_producers,A_417,B_416)
      | ~ environment(A_417) ),
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_2585,plain,
    ( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_2570,c_2583]) ).

tff(c_2592,plain,
    decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_2585]) ).

tff(c_2896,plain,
    ! [B_485,A_486] :
      ( greater_or_equal(difference(growth_rate(first_movers,B_485),growth_rate(efficient_producers,B_485)),zero)
      | greater(zero,difference(growth_rate(first_movers,B_485),growth_rate(efficient_producers,B_485)))
      | ~ subpopulations(first_movers,efficient_producers,A_486,B_485)
      | ~ environment(A_486) ),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_2907,plain,
    ! [A_7] :
      ( greater_or_equal(difference(growth_rate(first_movers,critical_point(A_7)),growth_rate(efficient_producers,critical_point(A_7))),zero)
      | greater(zero,difference(growth_rate(first_movers,critical_point(A_7)),growth_rate(efficient_producers,critical_point(A_7))))
      | ~ in_environment(A_7,critical_point(A_7))
      | ~ environment(A_7) ),
    inference(resolution,[status(thm)],[c_6,c_2896]) ).

tff(c_2973,plain,
    ! [C_496,B_497,A_498] :
      ( greater(difference(growth_rate(first_movers,C_496),growth_rate(efficient_producers,C_496)),zero)
      | ~ decreases(difference(growth_rate(first_movers,C_496),growth_rate(efficient_producers,C_496)))
      | ~ greater(B_497,C_496)
      | ~ greater_or_equal(C_496,appear(efficient_producers,A_498))
      | ~ greater_or_equal(difference(growth_rate(first_movers,B_497),growth_rate(efficient_producers,B_497)),zero)
      | ~ in_environment(A_498,B_497)
      | ~ environment(A_498) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_2988,plain,
    ! [A_498] :
      ( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
      | ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
      | ~ greater_or_equal(sk2,appear(efficient_producers,A_498))
      | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
      | ~ in_environment(A_498,critical_point(sk1))
      | ~ environment(A_498) ),
    inference(resolution,[status(thm)],[c_58,c_2973]) ).

tff(c_3788,plain,
    ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero),
    inference(splitLeft,[status(thm)],[c_2988]) ).

tff(c_3791,plain,
    ( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
    | ~ in_environment(sk1,critical_point(sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_2907,c_3788]) ).

tff(c_3797,plain,
    greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_3791]) ).

tff(c_3829,plain,
    greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))),
    inference(resolution,[status(thm)],[c_3797,c_14]) ).

tff(c_3852,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c_3829,c_44]) ).

tff(c_3866,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_3852]) ).

tff(c_3867,plain,
    ! [A_498] :
      ( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
      | ~ greater_or_equal(sk2,appear(efficient_producers,A_498))
      | ~ in_environment(A_498,critical_point(sk1))
      | ~ environment(A_498)
      | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
    inference(splitRight,[status(thm)],[c_2988]) ).

tff(c_4049,plain,
    ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))),
    inference(splitLeft,[status(thm)],[c_3867]) ).

tff(c_4052,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(resolution,[status(thm)],[c_10,c_4049]) ).

tff(c_4055,plain,
    decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
    inference(demodulation,[status(thm),theory(equality)],[c_2592,c_4052]) ).

tff(c_4059,plain,
    ! [A_625] :
      ( ~ subpopulations(first_movers,efficient_producers,A_625,sk2)
      | ~ environment(A_625) ),
    inference(resolution,[status(thm)],[c_4055,c_4]) ).

tff(c_4066,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c_2570,c_4059]) ).

tff(c_4073,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_4066]) ).

tff(c_4074,plain,
    ! [A_498] :
      ( ~ greater_or_equal(sk2,appear(efficient_producers,A_498))
      | ~ in_environment(A_498,critical_point(sk1))
      | ~ environment(A_498)
      | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
    inference(splitRight,[status(thm)],[c_3867]) ).

tff(c_4104,plain,
    ! [A_630] :
      ( ~ greater_or_equal(sk2,appear(efficient_producers,A_630))
      | ~ in_environment(A_630,critical_point(sk1))
      | ~ environment(A_630) ),
    inference(splitLeft,[status(thm)],[c_4074]) ).

tff(c_4111,plain,
    ( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c_54,c_4104]) ).

tff(c_4118,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_40,c_2361,c_4111]) ).

tff(c_4119,plain,
    greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero),
    inference(splitRight,[status(thm)],[c_4074]) ).

tff(c_4150,plain,
    greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),
    inference(resolution,[status(thm)],[c_4119,c_18]) ).

tff(c_4170,plain,
    ! [A_1] :
      ( selection_favors(first_movers,efficient_producers,sk2)
      | ~ subpopulations(efficient_producers,first_movers,A_1,sk2)
      | ~ environment(A_1) ),
    inference(resolution,[status(thm)],[c_4150,c_2]) ).

tff(c_4184,plain,
    ! [A_631] :
      ( ~ subpopulations(efficient_producers,first_movers,A_631,sk2)
      | ~ environment(A_631) ),
    inference(negUnitSimplification,[status(thm)],[c_60,c_4170]) ).

tff(c_4191,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c_2580,c_4184]) ).

tff(c_4198,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_4191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT034-2 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.34  % Computer : n029.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Thu Aug  3 20:47:23 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 7.89/3.00  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.89/3.01  
% 7.89/3.01  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.89/3.06  
% 7.89/3.06  Inference rules
% 7.89/3.06  ----------------------
% 7.89/3.06  #Ref     : 0
% 7.89/3.06  #Sup     : 923
% 7.89/3.06  #Fact    : 0
% 7.89/3.06  #Define  : 0
% 7.89/3.06  #Split   : 38
% 7.89/3.06  #Chain   : 0
% 7.89/3.06  #Close   : 0
% 7.89/3.06  
% 7.89/3.06  Ordering : KBO
% 7.89/3.06  
% 7.89/3.06  Simplification rules
% 7.89/3.06  ----------------------
% 7.89/3.06  #Subsume      : 116
% 7.89/3.06  #Demod        : 657
% 7.89/3.06  #Tautology    : 144
% 7.89/3.06  #SimpNegUnit  : 12
% 7.89/3.06  #BackRed      : 12
% 7.89/3.06  
% 7.89/3.06  #Partial instantiations: 0
% 7.89/3.06  #Strategies tried      : 1
% 7.89/3.06  
% 7.89/3.06  Timing (in seconds)
% 7.89/3.06  ----------------------
% 7.89/3.06  Preprocessing        : 0.58
% 7.89/3.06  Parsing              : 0.31
% 7.89/3.06  CNF conversion       : 0.03
% 7.89/3.06  Main loop            : 1.36
% 7.89/3.06  Inferencing          : 0.52
% 7.89/3.06  Reduction            : 0.39
% 7.89/3.06  Demodulation         : 0.26
% 7.89/3.06  BG Simplification    : 0.05
% 7.89/3.06  Subsumption          : 0.31
% 7.89/3.06  Abstraction          : 0.04
% 7.89/3.06  MUC search           : 0.00
% 7.89/3.06  Cooper               : 0.00
% 7.89/3.06  Total                : 2.02
% 7.89/3.06  Index Insertion      : 0.00
% 7.89/3.06  Index Deletion       : 0.00
% 7.89/3.06  Index Matching       : 0.00
% 7.89/3.06  BG Taut test         : 0.00
%------------------------------------------------------------------------------