TSTP Solution File: MGT034-2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT034-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n002.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 : Thu Aug 31 09:07:49 EDT 2023

% Result   : Unsatisfiable 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  102 (  15 unt;  20 typ;   0 def)
%            Number of atoms       :  223 (  18 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  276 ( 135   ~; 141   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :   88 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    environment: $i > $o ).

tff(decl_23,type,
    subpopulations: ( $i * $i * $i * $i ) > $o ).

tff(decl_24,type,
    growth_rate: ( $i * $i ) > $i ).

tff(decl_25,type,
    greater: ( $i * $i ) > $o ).

tff(decl_26,type,
    selection_favors: ( $i * $i * $i ) > $o ).

tff(decl_27,type,
    first_movers: $i ).

tff(decl_28,type,
    efficient_producers: $i ).

tff(decl_29,type,
    disbanding_rate: ( $i * $i ) > $i ).

tff(decl_30,type,
    difference: ( $i * $i ) > $i ).

tff(decl_31,type,
    decreases: $i > $o ).

tff(decl_32,type,
    critical_point: $i > $i ).

tff(decl_33,type,
    in_environment: ( $i * $i ) > $o ).

tff(decl_34,type,
    appear: ( $i * $i ) > $i ).

tff(decl_35,type,
    founding_rate: ( $i * $i ) > $i ).

tff(decl_36,type,
    zero: $i ).

tff(decl_37,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(decl_38,type,
    start_time: $i > $i ).

tff(decl_39,type,
    cardinality_at_time: ( $i * $i ) > $i ).

tff(decl_40,type,
    sk1: $i ).

tff(decl_41,type,
    sk2: $i ).

cnf(mp_greater_or_equal_52,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).

cnf(mp_critical_time_points_46,axiom,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,critical_point(X1))
    | ~ greater_or_equal(X2,appear(efficient_producers,X1))
    | ~ greater(critical_point(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points_46) ).

cnf(mp_critical_point_means_FM_and_EP_35,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,critical_point(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).

cnf(prove_t3_59,negated_conjecture,
    in_environment(sk1,critical_point(sk1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_59) ).

cnf(prove_t3_58,negated_conjecture,
    environment(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_58) ).

cnf(mp_FM_and_EP_when_EP_appears_36,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ in_environment(X1,appear(efficient_producers,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).

cnf(mp_greater_or_equal_50,axiom,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).

cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
    ( greater_or_equal(X2,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).

cnf(a10_56,hypothesis,
    ( subpopulations(first_movers,efficient_producers,X1,X4)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater_or_equal(X4,X2)
    | ~ greater_or_equal(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_56) ).

cnf(prove_t3_60,negated_conjecture,
    greater_or_equal(sk2,appear(efficient_producers,sk1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_60) ).

cnf(mp_greater_or_equal_51,axiom,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).

cnf(prove_t3_61,negated_conjecture,
    greater(critical_point(sk1),sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).

cnf(a12_57,hypothesis,
    ( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_57) ).

cnf(mp_decreasing_function_38,axiom,
    ( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
    | ~ greater_or_equal(X3,appear(efficient_producers,X1))
    | ~ greater(X2,X3)
    | ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function_38) ).

cnf(mp_difference_between_founding_rates_37,axiom,
    ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
    | ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).

cnf(mp_symmetry_of_subpopulations_48,axiom,
    ( subpopulations(efficient_producers,first_movers,X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).

cnf(l3_34,axiom,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_34) ).

cnf(mp1_high_growth_rates_33,axiom,
    ( selection_favors(X3,X2,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).

cnf(prove_t3_62,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_62) ).

cnf(mp_positive_growth_rate_difference_41,axiom,
    ( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
    | ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).

cnf(d1_54,hypothesis,
    ( ~ environment(X1)
    | X2 != critical_point(X1)
    | ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_54) ).

cnf(mp_relationship_of_growth_rates_53,axiom,
    ( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
    | greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).

cnf(mp_negative_growth_rate_difference_39,axiom,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).

cnf(c_0_23,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    mp_greater_or_equal_52 ).

cnf(c_0_24,axiom,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,critical_point(X1))
    | ~ greater_or_equal(X2,appear(efficient_producers,X1))
    | ~ greater(critical_point(X1),X2) ),
    mp_critical_time_points_46 ).

cnf(c_0_25,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_26,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,critical_point(X1)) ),
    mp_critical_point_means_FM_and_EP_35 ).

cnf(c_0_27,negated_conjecture,
    in_environment(sk1,critical_point(sk1)),
    prove_t3_59 ).

cnf(c_0_28,negated_conjecture,
    environment(sk1),
    prove_t3_58 ).

cnf(c_0_29,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ in_environment(X1,appear(efficient_producers,X1)) ),
    mp_FM_and_EP_when_EP_appears_36 ).

cnf(c_0_30,plain,
    ( in_environment(X1,appear(efficient_producers,X1))
    | ~ in_environment(X1,critical_point(X1))
    | ~ greater(critical_point(X1),appear(efficient_producers,X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_31,axiom,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    mp_greater_or_equal_50 ).

cnf(c_0_32,axiom,
    ( greater_or_equal(X2,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    mp_FM_and_EP_members_EP_appeared_49 ).

cnf(c_0_33,hypothesis,
    ( subpopulations(first_movers,efficient_producers,X1,X4)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater_or_equal(X4,X2)
    | ~ greater_or_equal(X3,X4) ),
    a10_56 ).

cnf(c_0_34,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_35,plain,
    ( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
    | ~ in_environment(X1,critical_point(X1))
    | ~ greater(critical_point(X1),appear(efficient_producers,X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_36,plain,
    ( X1 = appear(efficient_producers,X2)
    | greater(X1,appear(efficient_producers,X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,hypothesis,
    ( subpopulations(first_movers,efficient_producers,sk1,X1)
    | ~ greater_or_equal(critical_point(sk1),X1)
    | ~ greater_or_equal(X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,sk1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28])]) ).

cnf(c_0_38,plain,
    ( appear(efficient_producers,X1) = critical_point(X1)
    | subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
    | ~ in_environment(X1,critical_point(X1))
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).

cnf(c_0_39,hypothesis,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | subpopulations(first_movers,efficient_producers,sk1,X1)
    | ~ greater_or_equal(X1,appear(efficient_producers,sk1))
    | ~ greater_or_equal(critical_point(sk1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_27]),c_0_28])]) ).

cnf(c_0_40,negated_conjecture,
    greater_or_equal(sk2,appear(efficient_producers,sk1)),
    prove_t3_60 ).

cnf(c_0_41,negated_conjecture,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ greater_or_equal(critical_point(sk1),sk2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,axiom,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    mp_greater_or_equal_51 ).

cnf(c_0_43,negated_conjecture,
    greater(critical_point(sk1),sk2),
    prove_t3_61 ).

cnf(c_0_44,hypothesis,
    ( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    a12_57 ).

cnf(c_0_45,negated_conjecture,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_46,axiom,
    ( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
    | ~ greater_or_equal(X3,appear(efficient_producers,X1))
    | ~ greater(X2,X3)
    | ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
    mp_decreasing_function_38 ).

cnf(c_0_47,axiom,
    ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
    | ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
    mp_difference_between_founding_rates_37 ).

cnf(c_0_48,hypothesis,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28])]) ).

cnf(c_0_49,axiom,
    ( subpopulations(efficient_producers,first_movers,X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    mp_symmetry_of_subpopulations_48 ).

cnf(c_0_50,negated_conjecture,
    ( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
    | ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
    | ~ in_environment(sk1,X1)
    | ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | ~ greater(X1,sk2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_28])]) ).

cnf(c_0_51,axiom,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
    l3_34 ).

cnf(c_0_52,hypothesis,
    ( appear(efficient_producers,sk1) = critical_point(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(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,axiom,
    ( selection_favors(X3,X2,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
    mp1_high_growth_rates_33 ).

cnf(c_0_54,negated_conjecture,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_45]),c_0_28])]) ).

cnf(c_0_55,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    prove_t3_62 ).

cnf(c_0_56,axiom,
    ( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
    | ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
    mp_positive_growth_rate_difference_41 ).

cnf(c_0_57,negated_conjecture,
    ( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_27]),c_0_43])]) ).

cnf(c_0_58,hypothesis,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | ~ subpopulations(first_movers,efficient_producers,X1,sk2)
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_28])]),c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_28])]) ).

cnf(c_0_62,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,sk1,X1)
    | ~ greater_or_equal(critical_point(sk1),X1)
    | ~ greater_or_equal(X1,critical_point(sk1)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_34]) ).

cnf(c_0_63,negated_conjecture,
    ( appear(efficient_producers,sk1) = critical_point(sk1)
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,sk1,X1)
    | ~ greater_or_equal(X1,critical_point(sk1))
    | ~ greater(critical_point(sk1),X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_42]) ).

cnf(c_0_65,negated_conjecture,
    ( greater_or_equal(sk2,critical_point(sk1))
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    inference(spm,[status(thm)],[c_0_40,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_43])]) ).

cnf(c_0_67,negated_conjecture,
    ( subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_28])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_67]),c_0_28])]),c_0_55]) ).

cnf(c_0_69,hypothesis,
    ( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_66]),c_0_28])]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_60]) ).

cnf(c_0_71,hypothesis,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_69]),c_0_70]) ).

cnf(c_0_72,hypothesis,
    ( ~ environment(X1)
    | X2 != critical_point(X1)
    | ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    d1_54 ).

cnf(c_0_73,axiom,
    ( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
    | greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    mp_relationship_of_growth_rates_53 ).

cnf(c_0_74,hypothesis,
    ( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ subpopulations(first_movers,efficient_producers,X1,sk2)
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_71]) ).

cnf(c_0_75,hypothesis,
    ( ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1)))
    | ~ environment(X1) ),
    inference(er,[status(thm)],[c_0_72]) ).

cnf(c_0_76,axiom,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
    mp_negative_growth_rate_difference_39 ).

cnf(c_0_77,negated_conjecture,
    ( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_34]),c_0_28])]) ).

cnf(c_0_78,negated_conjecture,
    ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_28])]) ).

cnf(c_0_79,hypothesis,
    ( ~ greater(zero,difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
    inference(sr,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_81,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT034-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 06:31:04 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.60  start to proof: theBenchmark
% 0.20/0.64  % Version  : CSE_E---1.5
% 0.20/0.64  % Problem  : theBenchmark.p
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark.p
% 0.20/0.64  % SZS output start Proof
% See solution above
% 0.20/0.65  % Total time : 0.036000 s
% 0.20/0.65  % SZS output end Proof
% 0.20/0.65  % Total time : 0.039000 s
%------------------------------------------------------------------------------