TSTP Solution File: MGT024+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:34:38 EDT 2023

% Result   : Timeout 0.31s 300.12s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   58 (  13 unt;   0 def)
%            Number of atoms       :  259 (  39 equ)
%            Maximal formula atoms :   48 (   4 avg)
%            Number of connectives :  301 ( 100   ~; 139   |;  43   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (   0 sgn;  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_l6,conjecture,
    ! [X1,X2] :
      ( ( environment(X1)
        & subpopulations(first_movers,efficient_producers,X1,X2)
        & greater_or_equal(X2,equilibrium(X1)) )
     => ( ( growth_rate(first_movers,X2) = zero
          & growth_rate(efficient_producers,X2) = zero )
        | ( greater(growth_rate(first_movers,X2),zero)
          & greater(zero,growth_rate(efficient_producers,X2)) )
        | ( greater(growth_rate(efficient_producers,X2),zero)
          & greater(zero,growth_rate(first_movers,X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',prove_l6) ).

fof(mp_equilibrium,axiom,
    ! [X1,X2] :
      ( ( environment(X1)
        & greater_or_equal(X2,equilibrium(X1)) )
     => ~ greater(equilibrium(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',mp_equilibrium) ).

fof(a3,hypothesis,
    ! [X1,X2] :
      ( ( environment(X1)
        & in_environment(X1,X2)
        & greater(number_of_organizations(X1,X2),zero) )
     => ( ( greater(equilibrium(X1),X2)
         => decreases(resources(X1,X2)) )
        & ( ~ greater(equilibrium(X1),X2)
         => constant(resources(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',a3) ).

fof(mp_positive_number_of_organizations,axiom,
    ! [X1,X2] :
      ( ( environment(X1)
        & subpopulations(first_movers,efficient_producers,X1,X2) )
     => greater(number_of_organizations(X1,X2),zero) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',mp_positive_number_of_organizations) ).

fof(mp_time_point_occur,axiom,
    ! [X1,X2] :
      ( ( environment(X1)
        & subpopulations(first_movers,efficient_producers,X1,X2) )
     => in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',mp_time_point_occur) ).

fof(a6,hypothesis,
    ! [X1,X2] :
      ( ( environment(X1)
        & in_environment(X1,X2) )
     => ( ( decreases(resources(X1,X2))
         => ~ decreases(number_of_organizations(X1,X2)) )
        & ( constant(resources(X1,X2))
         => constant(number_of_organizations(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',a6) ).

fof(l7,hypothesis,
    ! [X1,X2] :
      ( ( environment(X1)
        & subpopulations(first_movers,efficient_producers,X1,X2)
        & constant(number_of_organizations(X1,X2)) )
     => ( ( growth_rate(first_movers,X2) = zero
          & growth_rate(efficient_producers,X2) = zero )
        | ( greater(growth_rate(first_movers,X2),zero)
          & greater(zero,growth_rate(efficient_producers,X2)) )
        | ( greater(growth_rate(efficient_producers,X2),zero)
          & greater(zero,growth_rate(first_movers,X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p',l7) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( environment(X1)
          & subpopulations(first_movers,efficient_producers,X1,X2)
          & greater_or_equal(X2,equilibrium(X1)) )
       => ( ( growth_rate(first_movers,X2) = zero
            & growth_rate(efficient_producers,X2) = zero )
          | ( greater(growth_rate(first_movers,X2),zero)
            & greater(zero,growth_rate(efficient_producers,X2)) )
          | ( greater(growth_rate(efficient_producers,X2),zero)
            & greater(zero,growth_rate(first_movers,X2)) ) ) ),
    inference(assume_negation,[status(cth)],[prove_l6]) ).

fof(c_0_8,plain,
    ! [X1,X2] :
      ( ( environment(X1)
        & greater_or_equal(X2,equilibrium(X1)) )
     => ~ greater(equilibrium(X1),X2) ),
    inference(fof_simplification,[status(thm)],[mp_equilibrium]) ).

fof(c_0_9,hypothesis,
    ! [X1,X2] :
      ( ( environment(X1)
        & in_environment(X1,X2)
        & greater(number_of_organizations(X1,X2),zero) )
     => ( ( greater(equilibrium(X1),X2)
         => decreases(resources(X1,X2)) )
        & ( ~ greater(equilibrium(X1),X2)
         => constant(resources(X1,X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[a3]) ).

fof(c_0_10,plain,
    ! [X11,X12] :
      ( ~ environment(X11)
      | ~ subpopulations(first_movers,efficient_producers,X11,X12)
      | greater(number_of_organizations(X11,X12),zero) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_number_of_organizations])]) ).

fof(c_0_11,negated_conjecture,
    ( environment(esk1_0)
    & subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
    & greater_or_equal(esk2_0,equilibrium(esk1_0))
    & ( growth_rate(first_movers,esk2_0) != zero
      | growth_rate(efficient_producers,esk2_0) != zero )
    & ( ~ greater(growth_rate(first_movers,esk2_0),zero)
      | ~ greater(zero,growth_rate(efficient_producers,esk2_0)) )
    & ( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
      | ~ greater(zero,growth_rate(first_movers,esk2_0)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_12,plain,
    ! [X15,X16] :
      ( ~ environment(X15)
      | ~ subpopulations(first_movers,efficient_producers,X15,X16)
      | in_environment(X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_occur])]) ).

fof(c_0_13,plain,
    ! [X13,X14] :
      ( ~ environment(X13)
      | ~ greater_or_equal(X14,equilibrium(X13))
      | ~ greater(equilibrium(X13),X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

fof(c_0_14,hypothesis,
    ! [X1,X2] :
      ( ( environment(X1)
        & in_environment(X1,X2) )
     => ( ( decreases(resources(X1,X2))
         => ~ decreases(number_of_organizations(X1,X2)) )
        & ( constant(resources(X1,X2))
         => constant(number_of_organizations(X1,X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[a6]) ).

fof(c_0_15,hypothesis,
    ! [X3,X4] :
      ( ( ~ greater(equilibrium(X3),X4)
        | decreases(resources(X3,X4))
        | ~ environment(X3)
        | ~ in_environment(X3,X4)
        | ~ greater(number_of_organizations(X3,X4),zero) )
      & ( greater(equilibrium(X3),X4)
        | constant(resources(X3,X4))
        | ~ environment(X3)
        | ~ in_environment(X3,X4)
        | ~ greater(number_of_organizations(X3,X4),zero) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

cnf(c_0_16,plain,
    ( greater(number_of_organizations(X1,X2),zero)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    environment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( ~ environment(X1)
    | ~ greater_or_equal(X2,equilibrium(X1))
    | ~ greater(equilibrium(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    greater_or_equal(esk2_0,equilibrium(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_22,hypothesis,
    ! [X5,X6] :
      ( ( ~ decreases(resources(X5,X6))
        | ~ decreases(number_of_organizations(X5,X6))
        | ~ environment(X5)
        | ~ in_environment(X5,X6) )
      & ( ~ constant(resources(X5,X6))
        | constant(number_of_organizations(X5,X6))
        | ~ environment(X5)
        | ~ in_environment(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

cnf(c_0_23,hypothesis,
    ( greater(equilibrium(X1),X2)
    | constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(number_of_organizations(X1,X2),zero) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    greater(number_of_organizations(esk1_0,esk2_0),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_25,negated_conjecture,
    in_environment(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18])]) ).

cnf(c_0_26,negated_conjecture,
    ~ greater(equilibrium(esk1_0),esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18])]) ).

fof(c_0_27,hypothesis,
    ! [X7,X8] :
      ( ( greater(growth_rate(efficient_producers,X8),zero)
        | greater(growth_rate(first_movers,X8),zero)
        | growth_rate(first_movers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(zero,growth_rate(first_movers,X8))
        | greater(growth_rate(first_movers,X8),zero)
        | growth_rate(first_movers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(growth_rate(efficient_producers,X8),zero)
        | greater(zero,growth_rate(efficient_producers,X8))
        | growth_rate(first_movers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(zero,growth_rate(first_movers,X8))
        | greater(zero,growth_rate(efficient_producers,X8))
        | growth_rate(first_movers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(growth_rate(efficient_producers,X8),zero)
        | greater(growth_rate(first_movers,X8),zero)
        | growth_rate(efficient_producers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(zero,growth_rate(first_movers,X8))
        | greater(growth_rate(first_movers,X8),zero)
        | growth_rate(efficient_producers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(growth_rate(efficient_producers,X8),zero)
        | greater(zero,growth_rate(efficient_producers,X8))
        | growth_rate(efficient_producers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) )
      & ( greater(zero,growth_rate(first_movers,X8))
        | greater(zero,growth_rate(efficient_producers,X8))
        | growth_rate(efficient_producers,X8) = zero
        | ~ environment(X7)
        | ~ subpopulations(first_movers,efficient_producers,X7,X8)
        | ~ constant(number_of_organizations(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l7])])]) ).

cnf(c_0_28,hypothesis,
    ( constant(number_of_organizations(X1,X2))
    | ~ constant(resources(X1,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,hypothesis,
    constant(resources(esk1_0,esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_18])]),c_0_26]) ).

cnf(c_0_30,hypothesis,
    ( greater(zero,growth_rate(first_movers,X1))
    | greater(growth_rate(first_movers,X1),zero)
    | growth_rate(first_movers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,hypothesis,
    constant(number_of_organizations(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25]),c_0_18])]) ).

cnf(c_0_32,hypothesis,
    ( greater(zero,growth_rate(first_movers,X1))
    | greater(zero,growth_rate(efficient_producers,X1))
    | growth_rate(first_movers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),zero)
    | greater(growth_rate(first_movers,X1),zero)
    | growth_rate(first_movers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ greater(growth_rate(first_movers,esk2_0),zero)
    | ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_35,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(growth_rate(first_movers,esk2_0),zero)
    | greater(zero,growth_rate(first_movers,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_36,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(zero,growth_rate(efficient_producers,esk2_0))
    | greater(zero,growth_rate(first_movers,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_37,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),zero)
    | greater(zero,growth_rate(efficient_producers,X1))
    | growth_rate(first_movers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,hypothesis,
    ( greater(zero,growth_rate(first_movers,X1))
    | greater(growth_rate(first_movers,X1),zero)
    | growth_rate(efficient_producers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,hypothesis,
    ( greater(zero,growth_rate(first_movers,X1))
    | greater(zero,growth_rate(efficient_producers,X1))
    | growth_rate(efficient_producers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
    | ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(growth_rate(efficient_producers,esk2_0),zero)
    | greater(growth_rate(first_movers,esk2_0),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_42,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(zero,growth_rate(first_movers,esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(growth_rate(efficient_producers,esk2_0),zero)
    | greater(zero,growth_rate(efficient_producers,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_44,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),zero)
    | greater(zero,growth_rate(efficient_producers,X1))
    | growth_rate(efficient_producers,X1) = zero
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(number_of_organizations(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_45,negated_conjecture,
    ( growth_rate(efficient_producers,esk2_0) = zero
    | greater(growth_rate(first_movers,esk2_0),zero)
    | greater(zero,growth_rate(first_movers,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_46,negated_conjecture,
    ( growth_rate(efficient_producers,esk2_0) = zero
    | greater(zero,growth_rate(efficient_producers,esk2_0))
    | greater(zero,growth_rate(first_movers,esk2_0)) ),
    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_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_47,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(growth_rate(first_movers,esk2_0),zero) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) = zero
    | greater(zero,growth_rate(efficient_producers,esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    ( growth_rate(efficient_producers,esk2_0) = zero
    | greater(growth_rate(efficient_producers,esk2_0),zero)
    | greater(zero,growth_rate(efficient_producers,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_17]),c_0_18])]),c_0_31])]) ).

cnf(c_0_50,negated_conjecture,
    ( growth_rate(efficient_producers,esk2_0) = zero
    | greater(zero,growth_rate(first_movers,esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ( growth_rate(first_movers,esk2_0) != zero
    | growth_rate(efficient_producers,esk2_0) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_52,negated_conjecture,
    growth_rate(first_movers,esk2_0) = zero,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    ( growth_rate(efficient_producers,esk2_0) = zero
    | greater(zero,growth_rate(efficient_producers,esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    growth_rate(efficient_producers,esk2_0) != zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_55,negated_conjecture,
    greater(zero,growth_rate(efficient_producers,esk2_0)),
    inference(sr,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    greater(zero,zero),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_52]),c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_52]),c_0_55]),c_0_56])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 00:42:16 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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/tmp/tmp.OEhjH3eKLz/E---3.1_32459.p
% 0.31/300.12  # Version: 3.1pre001
% 0.31/300.12  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.31/300.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/300.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.31/300.12  # Starting new_bool_3 with 300s (1) cores
% 0.31/300.12  # Starting new_bool_1 with 300s (1) cores
% 0.31/300.12  # Starting sh5l with 300s (1) cores
% 0.31/300.12  # new_bool_3 with pid 32539 completed with status 0
% 0.31/300.12  # Result found by new_bool_3
% 0.31/300.12  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.31/300.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/300.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.31/300.12  # Starting new_bool_3 with 300s (1) cores
% 0.31/300.12  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.31/300.12  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.31/300.12  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.31/300.12  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.31/300.12  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 32547 completed with status 0
% 0.31/300.12  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.31/300.12  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.31/300.12  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/300.12  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.31/300.12  # Starting new_bool_3 with 300s (1) cores
% 0.31/300.12  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.31/300.12  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.31/300.12  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.31/300.12  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.31/300.12  # Preprocessing time       : 0.001 s
% 0.31/300.12  # Presaturation interreduction done
% 0.31/300.12  
% 0.31/300.12  # Proof found!
% 0.31/300.12  # SZS status Theorem
% 0.31/300.12  # SZS output start CNFRefutation
% See solution above
% 0.31/300.12  # Parsed axioms                        : 7
% 0.31/300.12  # Removed by relevancy pruning/SinE    : 0
% 0.31/300.12  # Initial clauses                      : 21
% 0.31/300.12  # Removed in clause preprocessing      : 0
% 0.31/300.12  # Initial clauses in saturation        : 21
% 0.31/300.12  # Processed clauses                    : 65
% 0.31/300.12  # ...of these trivial                  : 0
% 0.31/300.12  # ...subsumed                          : 1
% 0.31/300.12  # ...remaining for further processing  : 63
% 0.31/300.12  # Other redundant clauses eliminated   : 0
% 0.31/300.12  # Clauses deleted for lack of memory   : 0
% 0.31/300.12  # Backward-subsumed                    : 7
% 0.31/300.12  # Backward-rewritten                   : 7
% 0.31/300.12  # Generated clauses                    : 21
% 0.31/300.12  # ...of the previous two non-redundant : 25
% 0.31/300.12  # ...aggressively subsumed             : 0
% 0.31/300.12  # Contextual simplify-reflections      : 6
% 0.31/300.12  # Paramodulations                      : 20
% 0.31/300.12  # Factorizations                       : 0
% 0.31/300.12  # NegExts                              : 0
% 0.31/300.12  # Equation resolutions                 : 0
% 0.31/300.12  # Total rewrite steps                  : 35
% 0.31/300.12  # Propositional unsat checks           : 0
% 0.31/300.12  #    Propositional check models        : 0
% 0.31/300.12  #    Propositional check unsatisfiable : 0
% 0.31/300.12  #    Propositional clauses             : 0
% 0.31/300.12  #    Propositional clauses after purity: 0
% 0.31/300.12  #    Propositional unsat core size     : 0
% 0.31/300.12  #    Propositional preprocessing time  : 0.000
% 0.31/300.12  #    Propositional encoding time       : 0.000
% 0.31/300.12  #    Propositional solver time         : 0.000
% 0.31/300.12  #    Success case prop preproc time    : 0.000
% 0.31/300.12  #    Success case prop encoding time   : 0.000
% 0.31/300.12  #    Success case prop solver time     : 0.000
% 0.31/300.12  # Current number of processed clauses  : 27
% 0.31/300.12  #    Positive orientable unit clauses  : 10
% 0.31/300.12  #    Positive unorientable unit clauses: 0
% 0.31/300.12  #    Negative unit clauses             : 2
% 0.31/300.12  #    Non-unit-clauses                  : 15
% 0.31/300.12  # Current number of unprocessed clauses: 2
% 0.31/300.12  # ...number of literals in the above   : 6
% 0.31/300.12  # Current number of archived formulas  : 0
% 0.31/300.12  # Current number of archived clauses   : 36
% 0.31/300.12  # Clause-clause subsumption calls (NU) : 357
% 0.31/300.12  # Rec. Clause-clause subsumption calls : 34
% 0.31/300.12  # Non-unit clause-clause subsumptions  : 13
% 0.31/300.12  # Unit Clause-clause subsumption calls : 70
% 0.31/300.12  # Rewrite failures with RHS unbound    : 0
% 0.31/300.12  # BW rewrite match attempts            : 1
% 0.31/300.12  # BW rewrite match successes           : 1
% 0.31/300.12  # Condensation attempts                : 0
% 0.31/300.12  # Condensation successes               : 0
% 0.31/300.12  # Termbank termtop insertions          : 2578
% 0.31/300.12  
% 0.31/300.12  # -------------------------------------------------
% 0.31/300.12  # User time                : 0.007 s
% 0.31/300.12  # System time              : 0.002 s
% 0.31/300.12  # Total time               : 0.009 s
% 0.31/300.12  # Maximum resident set size: 1712 pages
% 0.31/300.12  
% 0.31/300.12  # -------------------------------------------------
% 0.31/300.12  # User time                : 0.007 s
% 0.31/300.12  # System time              : 0.006 s
% 0.31/300.12  # Total time               : 0.013 s
% 0.31/300.12  # Maximum resident set size: 1676 pages
% 0.31/300.12  % E---3.1 exiting
% 0.31/300.12  % E---3.1 exiting
%------------------------------------------------------------------------------