TSTP Solution File: MGT034-2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 May 21 00:38:56 EDT 2024

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  101 (  16 unt;  20 nHn; 100 RR)
%            Number of literals    :  285 (  21 equ; 178 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  124 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(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_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(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(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(prove_t3_61,negated_conjecture,
    greater(critical_point(sk1),sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).

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,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    inference(fof_simplification,[status(thm)],[mp_greater_or_equal_52]) ).

cnf(c_0_24,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[mp_critical_time_points_46]) ).

cnf(c_0_25,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    c_0_23 ).

cnf(c_0_26,plain,
    ( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,critical_point(X1)) ),
    inference(fof_simplification,[status(thm)],[mp_critical_point_means_FM_and_EP_35]) ).

cnf(c_0_27,plain,
    ( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ in_environment(X1,appear(efficient_producers,X1)) ),
    inference(fof_simplification,[status(thm)],[mp_FM_and_EP_when_EP_appears_36]) ).

cnf(c_0_28,plain,
    ( 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) ),
    c_0_24 ).

cnf(c_0_29,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_30,plain,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    inference(fof_simplification,[status(thm)],[mp_greater_or_equal_50]) ).

cnf(c_0_31,plain,
    ( greater_or_equal(X2,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(fof_simplification,[status(thm)],[mp_FM_and_EP_members_EP_appeared_49]) ).

cnf(c_0_32,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) ),
    inference(fof_simplification,[status(thm)],[a10_56]) ).

cnf(c_0_33,plain,
    ( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,critical_point(X1)) ),
    c_0_26 ).

cnf(c_0_34,negated_conjecture,
    in_environment(sk1,critical_point(sk1)),
    prove_t3_59 ).

cnf(c_0_35,negated_conjecture,
    environment(sk1),
    prove_t3_58 ).

cnf(c_0_36,plain,
    ( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ in_environment(X1,appear(efficient_producers,X1)) ),
    c_0_27 ).

cnf(c_0_37,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_28,c_0_29]) ).

cnf(c_0_38,plain,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    c_0_30 ).

cnf(c_0_39,plain,
    ( greater_or_equal(X2,appear(efficient_producers,X1))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    c_0_31 ).

cnf(c_0_40,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) ),
    c_0_32 ).

cnf(c_0_41,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_33,c_0_34]),c_0_35])]) ).

cnf(c_0_42,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_36,c_0_37]) ).

cnf(c_0_43,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_38,c_0_39]) ).

cnf(c_0_44,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_40,c_0_41]),c_0_35])]) ).

cnf(c_0_45,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_42,c_0_43]),c_0_33]) ).

cnf(c_0_46,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_44,c_0_45]),c_0_34]),c_0_35])]) ).

cnf(c_0_47,negated_conjecture,
    greater_or_equal(sk2,appear(efficient_producers,sk1)),
    prove_t3_60 ).

cnf(c_0_48,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    inference(fof_simplification,[status(thm)],[mp_greater_or_equal_51]) ).

cnf(c_0_49,hypothesis,
    ( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(fof_simplification,[status(thm)],[a12_57]) ).

cnf(c_0_50,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_46,c_0_47]) ).

cnf(c_0_51,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    c_0_48 ).

cnf(c_0_52,negated_conjecture,
    greater(critical_point(sk1),sk2),
    prove_t3_61 ).

cnf(c_0_53,plain,
    ( 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))) ),
    inference(fof_simplification,[status(thm)],[mp_decreasing_function_38]) ).

cnf(c_0_54,plain,
    ( 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))) ),
    inference(fof_simplification,[status(thm)],[mp_difference_between_founding_rates_37]) ).

cnf(c_0_55,hypothesis,
    ( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    c_0_49 ).

cnf(c_0_56,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_50,c_0_51]),c_0_52])]) ).

cnf(c_0_57,plain,
    ( subpopulations(efficient_producers,first_movers,X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(fof_simplification,[status(thm)],[mp_symmetry_of_subpopulations_48]) ).

cnf(c_0_58,plain,
    ( 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))) ),
    c_0_53 ).

cnf(c_0_59,plain,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
    inference(fof_simplification,[status(thm)],[l3_34]) ).

cnf(c_0_60,plain,
    ( 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))) ),
    c_0_54 ).

cnf(c_0_61,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_55,c_0_56]),c_0_35])]) ).

cnf(c_0_62,plain,
    ( selection_favors(X3,X2,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
    inference(fof_simplification,[status(thm)],[mp1_high_growth_rates_33]) ).

cnf(c_0_63,plain,
    ( subpopulations(efficient_producers,first_movers,X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    c_0_57 ).

cnf(c_0_64,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    inference(fof_simplification,[status(thm)],[prove_t3_62]) ).

cnf(c_0_65,plain,
    ( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
    | ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
    inference(fof_simplification,[status(thm)],[mp_positive_growth_rate_difference_41]) ).

cnf(c_0_66,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_58,c_0_47]),c_0_35])]) ).

cnf(c_0_67,plain,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
    c_0_59 ).

cnf(c_0_68,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_60,c_0_61]) ).

cnf(c_0_69,plain,
    ( selection_favors(X3,X2,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
    c_0_62 ).

cnf(c_0_70,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_63,c_0_56]),c_0_35])]) ).

cnf(c_0_71,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    c_0_64 ).

cnf(c_0_72,plain,
    ( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
    | ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
    c_0_65 ).

cnf(c_0_73,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_66,c_0_34]),c_0_52])]) ).

cnf(c_0_74,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_67,c_0_68]) ).

cnf(c_0_75,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_69,c_0_70]),c_0_35])]),c_0_71]) ).

cnf(c_0_76,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_72,c_0_73]) ).

cnf(c_0_77,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_74,c_0_56]),c_0_35])]) ).

cnf(c_0_78,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_44,c_0_41]) ).

cnf(c_0_79,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_75,c_0_76]),c_0_77]) ).

cnf(c_0_80,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_78,c_0_51]) ).

cnf(c_0_81,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_47,c_0_79]) ).

cnf(c_0_82,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_80,c_0_81]),c_0_52])]) ).

cnf(c_0_83,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_63,c_0_82]),c_0_35])]) ).

cnf(c_0_84,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_69,c_0_83]),c_0_35])]),c_0_71]) ).

cnf(c_0_85,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_55,c_0_82]),c_0_35])]) ).

cnf(c_0_86,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_84,c_0_76]) ).

cnf(c_0_87,hypothesis,
    ( ~ environment(X1)
    | X2 != critical_point(X1)
    | ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    inference(fof_simplification,[status(thm)],[d1_54]) ).

cnf(c_0_88,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[mp_relationship_of_growth_rates_53]) ).

cnf(c_0_89,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_60,c_0_85]),c_0_86]) ).

cnf(c_0_90,hypothesis,
    ( ~ environment(X1)
    | X2 != critical_point(X1)
    | ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    c_0_87 ).

cnf(c_0_91,plain,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
    inference(fof_simplification,[status(thm)],[mp_negative_growth_rate_difference_39]) ).

cnf(c_0_92,plain,
    ( 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) ),
    c_0_88 ).

cnf(c_0_93,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_67,c_0_89]) ).

cnf(c_0_94,hypothesis,
    ( ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1)))
    | ~ environment(X1) ),
    inference(er,[status(thm)],[c_0_90]) ).

cnf(c_0_95,plain,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
    c_0_91 ).

cnf(c_0_96,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_92,c_0_41]),c_0_35])]) ).

cnf(c_0_97,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_93,c_0_82]),c_0_35])]) ).

cnf(c_0_98,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_94,c_0_95]) ).

cnf(c_0_99,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_96,c_0_97]) ).

cnf(c_0_100,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 23:59:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54  # Version: 3.1.0
% 0.21/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.54  # Starting sh5l with 300s (1) cores
% 0.21/0.54  # new_bool_3 with pid 2868 completed with status 0
% 0.21/0.54  # Result found by new_bool_3
% 0.21/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.54  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 2873 completed with status 0
% 0.21/0.54  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.21/0.54  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.54  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.54  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.54  # Preprocessing time       : 0.002 s
% 0.21/0.54  # Presaturation interreduction done
% 0.21/0.54  
% 0.21/0.54  # Proof found!
% 0.21/0.54  # SZS status Unsatisfiable
% 0.21/0.54  # SZS output start CNFRefutation
% See solution above
% 0.21/0.54  # Parsed axioms                        : 30
% 0.21/0.54  # Removed by relevancy pruning/SinE    : 3
% 0.21/0.54  # Initial clauses                      : 27
% 0.21/0.54  # Removed in clause preprocessing      : 0
% 0.21/0.54  # Initial clauses in saturation        : 27
% 0.21/0.54  # Processed clauses                    : 292
% 0.21/0.54  # ...of these trivial                  : 0
% 0.21/0.54  # ...subsumed                          : 68
% 0.21/0.54  # ...remaining for further processing  : 224
% 0.21/0.54  # Other redundant clauses eliminated   : 3
% 0.21/0.54  # Clauses deleted for lack of memory   : 0
% 0.21/0.54  # Backward-subsumed                    : 47
% 0.21/0.54  # Backward-rewritten                   : 16
% 0.21/0.54  # Generated clauses                    : 425
% 0.21/0.54  # ...of the previous two non-redundant : 319
% 0.21/0.54  # ...aggressively subsumed             : 0
% 0.21/0.54  # Contextual simplify-reflections      : 5
% 0.21/0.54  # Paramodulations                      : 421
% 0.21/0.54  # Factorizations                       : 0
% 0.21/0.54  # NegExts                              : 0
% 0.21/0.54  # Equation resolutions                 : 3
% 0.21/0.54  # Disequality decompositions           : 0
% 0.21/0.54  # Total rewrite steps                  : 261
% 0.21/0.54  # ...of those cached                   : 251
% 0.21/0.54  # Propositional unsat checks           : 0
% 0.21/0.54  #    Propositional check models        : 0
% 0.21/0.54  #    Propositional check unsatisfiable : 0
% 0.21/0.54  #    Propositional clauses             : 0
% 0.21/0.54  #    Propositional clauses after purity: 0
% 0.21/0.54  #    Propositional unsat core size     : 0
% 0.21/0.54  #    Propositional preprocessing time  : 0.000
% 0.21/0.54  #    Propositional encoding time       : 0.000
% 0.21/0.54  #    Propositional solver time         : 0.000
% 0.21/0.54  #    Success case prop preproc time    : 0.000
% 0.21/0.54  #    Success case prop encoding time   : 0.000
% 0.21/0.54  #    Success case prop solver time     : 0.000
% 0.21/0.54  # Current number of processed clauses  : 130
% 0.21/0.54  #    Positive orientable unit clauses  : 11
% 0.21/0.54  #    Positive unorientable unit clauses: 0
% 0.21/0.54  #    Negative unit clauses             : 2
% 0.21/0.54  #    Non-unit-clauses                  : 117
% 0.21/0.54  # Current number of unprocessed clauses: 78
% 0.21/0.54  # ...number of literals in the above   : 475
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 91
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 6263
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 1684
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 87
% 0.21/0.55  # Unit Clause-clause subsumption calls : 61
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 28
% 0.21/0.55  # BW rewrite match successes           : 2
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 15360
% 0.21/0.55  # Search garbage collected termcells   : 119
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.034 s
% 0.21/0.55  # System time              : 0.003 s
% 0.21/0.55  # Total time               : 0.037 s
% 0.21/0.55  # Maximum resident set size: 1740 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.035 s
% 0.21/0.55  # System time              : 0.006 s
% 0.21/0.55  # Total time               : 0.041 s
% 0.21/0.55  # Maximum resident set size: 1724 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.55  % E exiting
%------------------------------------------------------------------------------