TSTP Solution File: MGT024-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : Sat May  4 08:36:58 EDT 2024

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   73 (  16 unt;  36 nHn;  73 RR)
%            Number of literals    :  245 (  41 equ; 122 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   72 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_positive_number_of_organizations_25,axiom,
    ( greater(number_of_organizations(X1,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',mp_positive_number_of_organizations_25) ).

cnf(mp_time_point_occur_24,axiom,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',mp_time_point_occur_24) ).

cnf(mp_equilibrium_26,axiom,
    ( ~ environment(X1)
    | ~ greater_or_equal(X2,equilibrium(X1))
    | ~ greater(equilibrium(X1),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',mp_equilibrium_26) ).

cnf(a3_28,hypothesis,
    ( greater(equilibrium(X1),X2)
    | constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',a3_28) ).

cnf(prove_l6_40,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',prove_l6_40) ).

cnf(prove_l6_39,negated_conjecture,
    environment(sk1),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',prove_l6_39) ).

cnf(prove_l6_41,negated_conjecture,
    greater_or_equal(sk2,equilibrium(sk1)),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',prove_l6_41) ).

cnf(a6_30,hypothesis,
    ( constant(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ constant(resources(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',a6_30) ).

cnf(l7_32,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_32) ).

cnf(l7_34,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_34) ).

cnf(l7_31,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_31) ).

cnf(prove_l6_43,negated_conjecture,
    ( ~ greater(growth_rate(first_movers,sk2),zero)
    | ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',prove_l6_43) ).

cnf(l7_33,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_33) ).

cnf(l7_36,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_36) ).

cnf(l7_38,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_38) ).

cnf(prove_l6_44,negated_conjecture,
    ( ~ greater(growth_rate(efficient_producers,sk2),zero)
    | ~ greater(zero,growth_rate(first_movers,sk2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',prove_l6_44) ).

cnf(l7_37,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',l7_37) ).

cnf(prove_l6_42,negated_conjecture,
    ( growth_rate(first_movers,sk2) != zero
    | growth_rate(efficient_producers,sk2) != zero ),
    file('/export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p',prove_l6_42) ).

cnf(c_0_18,plain,
    ( greater(number_of_organizations(X1,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(fof_simplification,[status(thm)],[mp_positive_number_of_organizations_25]) ).

cnf(c_0_19,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(fof_simplification,[status(thm)],[mp_time_point_occur_24]) ).

cnf(c_0_20,plain,
    ( ~ environment(X1)
    | ~ greater_or_equal(X2,equilibrium(X1))
    | ~ greater(equilibrium(X1),X2) ),
    inference(fof_simplification,[status(thm)],[mp_equilibrium_26]) ).

cnf(c_0_21,hypothesis,
    ( greater(equilibrium(X1),X2)
    | constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero) ),
    inference(fof_simplification,[status(thm)],[a3_28]) ).

cnf(c_0_22,plain,
    ( greater(number_of_organizations(X1,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    c_0_18 ).

cnf(c_0_23,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    prove_l6_40 ).

cnf(c_0_24,negated_conjecture,
    environment(sk1),
    prove_l6_39 ).

cnf(c_0_25,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    c_0_19 ).

cnf(c_0_26,plain,
    ( ~ environment(X1)
    | ~ greater_or_equal(X2,equilibrium(X1))
    | ~ greater(equilibrium(X1),X2) ),
    c_0_20 ).

cnf(c_0_27,negated_conjecture,
    greater_or_equal(sk2,equilibrium(sk1)),
    prove_l6_41 ).

cnf(c_0_28,hypothesis,
    ( constant(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ constant(resources(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[a6_30]) ).

cnf(c_0_29,hypothesis,
    ( greater(equilibrium(X1),X2)
    | constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero) ),
    c_0_21 ).

cnf(c_0_30,negated_conjecture,
    greater(number_of_organizations(sk1,sk2),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_31,negated_conjecture,
    in_environment(sk1,sk2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24])]) ).

cnf(c_0_32,negated_conjecture,
    ~ greater(equilibrium(sk1),sk2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_24])]) ).

cnf(c_0_33,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_32]) ).

cnf(c_0_34,hypothesis,
    ( constant(number_of_organizations(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ constant(resources(X1,X2)) ),
    c_0_28 ).

cnf(c_0_35,hypothesis,
    constant(resources(sk1,sk2)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_24])]),c_0_32]) ).

cnf(c_0_36,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_34]) ).

cnf(c_0_37,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_31]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ greater(growth_rate(first_movers,sk2),zero)
    | ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(fof_simplification,[status(thm)],[prove_l6_43]) ).

cnf(c_0_39,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_33 ).

cnf(c_0_40,hypothesis,
    constant(number_of_organizations(sk1,sk2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31]),c_0_24])]) ).

cnf(c_0_41,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_36 ).

cnf(c_0_42,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_33]) ).

cnf(c_0_43,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_36]) ).

cnf(c_0_44,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_38]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ greater(growth_rate(efficient_producers,sk2),zero)
    | ~ greater(zero,growth_rate(first_movers,sk2)) ),
    inference(fof_simplification,[status(thm)],[prove_l6_44]) ).

cnf(c_0_46,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_37 ).

cnf(c_0_47,negated_conjecture,
    ( ~ greater(growth_rate(first_movers,sk2),zero)
    | ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
    c_0_38 ).

cnf(c_0_48,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(growth_rate(first_movers,sk2),zero)
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_49,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(zero,growth_rate(efficient_producers,sk2))
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_50,hypothesis,
    ( growth_rate(first_movers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_42 ).

cnf(c_0_51,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[l7_37]) ).

cnf(c_0_52,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(growth_rate(first_movers,X2),zero)
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_43 ).

cnf(c_0_53,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(zero,growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_44 ).

cnf(c_0_54,negated_conjecture,
    ( ~ greater(growth_rate(efficient_producers,sk2),zero)
    | ~ greater(zero,growth_rate(first_movers,sk2)) ),
    c_0_45 ).

cnf(c_0_55,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(growth_rate(efficient_producers,sk2),zero)
    | greater(growth_rate(first_movers,sk2),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_56,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(growth_rate(efficient_producers,sk2),zero)
    | greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_58,hypothesis,
    ( growth_rate(efficient_producers,X2) = zero
    | greater(zero,growth_rate(efficient_producers,X2))
    | greater(growth_rate(efficient_producers,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ constant(number_of_organizations(X1,X2)) ),
    c_0_51 ).

cnf(c_0_59,negated_conjecture,
    ( growth_rate(efficient_producers,sk2) = zero
    | greater(growth_rate(first_movers,sk2),zero)
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_60,negated_conjecture,
    ( growth_rate(efficient_producers,sk2) = zero
    | greater(zero,growth_rate(efficient_producers,sk2))
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_61,negated_conjecture,
    ( growth_rate(first_movers,sk2) != zero
    | growth_rate(efficient_producers,sk2) != zero ),
    inference(fof_simplification,[status(thm)],[prove_l6_42]) ).

cnf(c_0_62,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(growth_rate(first_movers,sk2),zero) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    ( growth_rate(first_movers,sk2) = zero
    | greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_57]),c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    ( growth_rate(efficient_producers,sk2) = zero
    | greater(growth_rate(efficient_producers,sk2),zero)
    | greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_23]),c_0_24])]),c_0_40])]) ).

cnf(c_0_65,negated_conjecture,
    ( growth_rate(efficient_producers,sk2) = zero
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_59]),c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( growth_rate(first_movers,sk2) != zero
    | growth_rate(efficient_producers,sk2) != zero ),
    c_0_61 ).

cnf(c_0_67,negated_conjecture,
    growth_rate(first_movers,sk2) = zero,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_62]),c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ( growth_rate(efficient_producers,sk2) = zero
    | greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_64]),c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    growth_rate(efficient_producers,sk2) != zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).

cnf(c_0_70,negated_conjecture,
    greater(zero,growth_rate(efficient_producers,sk2)),
    inference(sr,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_71,negated_conjecture,
    greater(zero,zero),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_67]),c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_67]),c_0_70]),c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n021.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   : Fri May  3 14:12:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.IOTbIwJAnI/E---3.1_27072.p
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # new_bool_3 with pid 27150 completed with status 0
% 0.21/0.51  # Result found by new_bool_3
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.51  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 27155 completed with status 0
% 0.21/0.51  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.001 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 21
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 21
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 21
% 0.21/0.51  # Processed clauses                    : 65
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 1
% 0.21/0.51  # ...remaining for further processing  : 63
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 7
% 0.21/0.51  # Backward-rewritten                   : 7
% 0.21/0.51  # Generated clauses                    : 21
% 0.21/0.51  # ...of the previous two non-redundant : 25
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 6
% 0.21/0.51  # Paramodulations                      : 20
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 35
% 0.21/0.51  # ...of those cached                   : 29
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 27
% 0.21/0.51  #    Positive orientable unit clauses  : 10
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 2
% 0.21/0.51  #    Non-unit-clauses                  : 15
% 0.21/0.51  # Current number of unprocessed clauses: 2
% 0.21/0.51  # ...number of literals in the above   : 6
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 36
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 357
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 34
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 13
% 0.21/0.51  # Unit Clause-clause subsumption calls : 70
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 1
% 0.21/0.51  # BW rewrite match successes           : 1
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 2044
% 0.21/0.51  # Search garbage collected termcells   : 72
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.009 s
% 0.21/0.51  # System time              : 0.000 s
% 0.21/0.51  # Total time               : 0.009 s
% 0.21/0.51  # Maximum resident set size: 1752 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.009 s
% 0.21/0.51  # System time              : 0.004 s
% 0.21/0.51  # Total time               : 0.012 s
% 0.21/0.51  # Maximum resident set size: 1756 pages
% 0.21/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------