TSTP Solution File: MGT036+2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% 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  : 600s
% DateTime : Sun Jul 17 22:19:44 EDT 2022

% Result   : Theorem 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   79 (  24 unt;   0 def)
%            Number of atoms       :  215 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  255 ( 119   ~; 102   |;  20   &)
%                                         (   6 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  149 (  27 sgn  85   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mp_symmetry_of_subpopulations,axiom,
    ! [E,S1,S2,T] :
      ( ( environment(E)
        & subpopulations(S1,S2,E,T) )
     => subpopulations(S2,S1,E,T) ) ).

fof(mp_time_point_occur,axiom,
    ! [E,T] :
      ( ( environment(E)
        & subpopulations(first_movers,efficient_producers,E,T) )
     => in_environment(E,T) ) ).

fof(mp_growth_rate_relationships,axiom,
    ! [E,S1,S2,T] :
      ( ( ( environment(E)
          & subpopulations(S1,S2,E,T) )
       => greater_or_equal(growth_rate(S1,T),zero) )
    <=> ~ greater(zero,growth_rate(S1,T)) ) ).

fof(d2,hypothesis,
    ! [E,S1,S2,T] :
      ( ( environment(E)
        & subpopulations(S1,S2,E,T) )
     => ( ( greater_or_equal(growth_rate(S2,T),zero)
          & greater(zero,growth_rate(S1,T)) )
      <=> outcompetes(S2,S1,T) ) ) ).

fof(a2,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)) ).

fof(a13,hypothesis,
    ! [E,S1,S2,T] :
      ( ( environment(E)
        & in_environment(E,T)
        & ~ greater(zero,growth_rate(S1,T))
        & greater(resilience(S2),resilience(S1)) )
     => ~ greater(zero,growth_rate(S2,T)) ) ).

fof(prove_t5,conjecture,
    ! [E,T] :
      ( ( environment(E)
        & subpopulations(first_movers,efficient_producers,E,T) )
     => ~ outcompetes(first_movers,efficient_producers,T) ) ).

fof(subgoal_0,plain,
    ! [E,T] :
      ( ( environment(E)
        & subpopulations(first_movers,efficient_producers,E,T) )
     => ~ outcompetes(first_movers,efficient_producers,T) ),
    inference(strip,[],[prove_t5]) ).

fof(negate_0_0,plain,
    ~ ! [E,T] :
        ( ( environment(E)
          & subpopulations(first_movers,efficient_producers,E,T) )
       => ~ outcompetes(first_movers,efficient_producers,T) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [E,T] :
      ( environment(E)
      & outcompetes(first_movers,efficient_producers,T)
      & subpopulations(first_movers,efficient_producers,E,T) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( environment(skolemFOFtoCNF_E)
    & outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T)
    & subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ subpopulations(S1,S2,E,T)
      | subpopulations(S2,S1,E,T) ),
    inference(canonicalize,[],[mp_symmetry_of_subpopulations]) ).

fof(normalize_0_4,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ subpopulations(S1,S2,E,T)
      | subpopulations(S2,S1,E,T) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    environment(skolemFOFtoCNF_E),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_6,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ subpopulations(S1,S2,E,T)
      | ( ~ outcompetes(S2,S1,T)
      <=> ( ~ greater(zero,growth_rate(S1,T))
          | ~ greater_or_equal(growth_rate(S2,T),zero) ) ) ),
    inference(canonicalize,[],[d2]) ).

fof(normalize_0_7,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ subpopulations(S1,S2,E,T)
      | ( ~ outcompetes(S2,S1,T)
      <=> ( ~ greater(zero,growth_rate(S1,T))
          | ~ greater_or_equal(growth_rate(S2,T),zero) ) ) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [E,S1,S2,T] :
      ( ( ~ environment(E)
        | ~ outcompetes(S2,S1,T)
        | ~ subpopulations(S1,S2,E,T)
        | greater(zero,growth_rate(S1,T)) )
      & ( ~ environment(E)
        | ~ outcompetes(S2,S1,T)
        | ~ subpopulations(S1,S2,E,T)
        | greater_or_equal(growth_rate(S2,T),zero) )
      & ( ~ environment(E)
        | ~ greater(zero,growth_rate(S1,T))
        | ~ greater_or_equal(growth_rate(S2,T),zero)
        | ~ subpopulations(S1,S2,E,T)
        | outcompetes(S2,S1,T) ) ),
    inference(clausify,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ outcompetes(S2,S1,T)
      | ~ subpopulations(S1,S2,E,T)
      | greater(zero,growth_rate(S1,T)) ),
    inference(conjunct,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_11,plain,
    greater(resilience(efficient_producers),resilience(first_movers)),
    inference(canonicalize,[],[a2]) ).

fof(normalize_0_12,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ greater(resilience(S2),resilience(S1))
      | ~ greater(zero,growth_rate(S2,T))
      | ~ in_environment(E,T)
      | greater(zero,growth_rate(S1,T)) ),
    inference(canonicalize,[],[a13]) ).

fof(normalize_0_13,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ greater(resilience(S2),resilience(S1))
      | ~ greater(zero,growth_rate(S2,T))
      | ~ in_environment(E,T)
      | greater(zero,growth_rate(S1,T)) ),
    inference(specialize,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [E,S1,S2,T] :
      ( ~ greater(zero,growth_rate(S1,T))
    <=> ( ~ environment(E)
        | ~ subpopulations(S1,S2,E,T)
        | greater_or_equal(growth_rate(S1,T),zero) ) ),
    inference(canonicalize,[],[mp_growth_rate_relationships]) ).

fof(normalize_0_15,plain,
    ! [E,S1,S2,T] :
      ( ~ greater(zero,growth_rate(S1,T))
    <=> ( ~ environment(E)
        | ~ subpopulations(S1,S2,E,T)
        | greater_or_equal(growth_rate(S1,T),zero) ) ),
    inference(specialize,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [E,S1,S2,T] :
      ( ( ~ greater(zero,growth_rate(S1,T))
        | ~ greater_or_equal(growth_rate(S1,T),zero) )
      & ( ~ greater(zero,growth_rate(S1,T))
        | environment(E) )
      & ( ~ greater(zero,growth_rate(S1,T))
        | subpopulations(S1,S2,E,T) )
      & ( ~ environment(E)
        | ~ subpopulations(S1,S2,E,T)
        | greater(zero,growth_rate(S1,T))
        | greater_or_equal(growth_rate(S1,T),zero) ) ),
    inference(clausify,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [E,S1,T] :
      ( ~ greater(zero,growth_rate(S1,T))
      | environment(E) ),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    ! [E,T] :
      ( ~ environment(E)
      | ~ subpopulations(first_movers,efficient_producers,E,T)
      | in_environment(E,T) ),
    inference(canonicalize,[],[mp_time_point_occur]) ).

fof(normalize_0_19,plain,
    ! [E,T] :
      ( ~ environment(E)
      | ~ subpopulations(first_movers,efficient_producers,E,T)
      | in_environment(E,T) ),
    inference(specialize,[],[normalize_0_18]) ).

fof(normalize_0_20,plain,
    ! [E,S1,S2,T] :
      ( ~ greater(zero,growth_rate(S1,T))
      | subpopulations(S1,S2,E,T) ),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_21,plain,
    ! [S1,T] :
      ( ~ greater(zero,growth_rate(S1,T))
      | ~ greater_or_equal(growth_rate(S1,T),zero) ),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_22,plain,
    ! [E,S1,S2,T] :
      ( ~ environment(E)
      | ~ outcompetes(S2,S1,T)
      | ~ subpopulations(S1,S2,E,T)
      | greater_or_equal(growth_rate(S2,T),zero) ),
    inference(conjunct,[],[normalize_0_8]) ).

cnf(refute_0_0,plain,
    subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ environment(E)
    | ~ subpopulations(S1,S2,E,T)
    | subpopulations(S2,S1,E,T) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ environment(skolemFOFtoCNF_E)
    | ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
    | subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
    inference(subst,[],[refute_0_1:[bind(E,$fot(skolemFOFtoCNF_E)),bind(S1,$fot(first_movers)),bind(S2,$fot(efficient_producers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_3,plain,
    ( ~ environment(skolemFOFtoCNF_E)
    | subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    environment(skolemFOFtoCNF_E),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
    inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_4,refute_0_3]) ).

cnf(refute_0_6,plain,
    ( ~ environment(E)
    | ~ outcompetes(S2,S1,T)
    | ~ subpopulations(S1,S2,E,T)
    | greater(zero,growth_rate(S1,T)) ),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_7,plain,
    ( ~ environment(skolemFOFtoCNF_E)
    | ~ outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T)
    | ~ subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
    | greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
    inference(subst,[],[refute_0_6:[bind(E,$fot(skolemFOFtoCNF_E)),bind(S1,$fot(efficient_producers)),bind(S2,$fot(first_movers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_8,plain,
    ( ~ environment(skolemFOFtoCNF_E)
    | ~ outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T)
    | greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
    inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T)
    | greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
    inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_4,refute_0_8]) ).

cnf(refute_0_10,plain,
    outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_11,plain,
    greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)),
    inference(resolve,[$cnf( outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T) )],[refute_0_10,refute_0_9]) ).

cnf(refute_0_12,plain,
    greater(resilience(efficient_producers),resilience(first_movers)),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ environment(E)
    | ~ greater(resilience(S2),resilience(S1))
    | ~ greater(zero,growth_rate(S2,T))
    | ~ in_environment(E,T)
    | greater(zero,growth_rate(S1,T)) ),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_14,plain,
    ( ~ greater(zero,growth_rate(S1,T))
    | environment(E) ),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_15,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
    | environment(E) ),
    inference(subst,[],[refute_0_14:[bind(S1,$fot(efficient_producers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_16,plain,
    environment(E),
    inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_11,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ greater(resilience(S2),resilience(S1))
    | ~ greater(zero,growth_rate(S2,T))
    | ~ in_environment(E,T)
    | greater(zero,growth_rate(S1,T)) ),
    inference(resolve,[$cnf( environment(E) )],[refute_0_16,refute_0_13]) ).

cnf(refute_0_18,plain,
    ( ~ greater(resilience(efficient_producers),resilience(first_movers))
    | ~ greater(zero,growth_rate(efficient_producers,X_40))
    | ~ in_environment(X_37,X_40)
    | greater(zero,growth_rate(first_movers,X_40)) ),
    inference(subst,[],[refute_0_17:[bind(E,$fot(X_37)),bind(S1,$fot(first_movers)),bind(S2,$fot(efficient_producers)),bind(T,$fot(X_40))]]) ).

cnf(refute_0_19,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,X_40))
    | ~ in_environment(X_37,X_40)
    | greater(zero,growth_rate(first_movers,X_40)) ),
    inference(resolve,[$cnf( greater(resilience(efficient_producers),resilience(first_movers)) )],[refute_0_12,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
    | ~ in_environment(X_41,skolemFOFtoCNF_T)
    | greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T)) ),
    inference(subst,[],[refute_0_19:[bind(X_37,$fot(X_41)),bind(X_40,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_21,plain,
    ( ~ in_environment(X_41,skolemFOFtoCNF_T)
    | greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T)) ),
    inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_11,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( ~ environment(E)
    | ~ subpopulations(first_movers,efficient_producers,E,T)
    | in_environment(E,T) ),
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_23,plain,
    ( ~ environment(X_22)
    | ~ subpopulations(first_movers,efficient_producers,X_22,skolemFOFtoCNF_T)
    | in_environment(X_22,skolemFOFtoCNF_T) ),
    inference(subst,[],[refute_0_22:[bind(E,$fot(X_22)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_24,plain,
    ( ~ environment(X_20)
    | ~ subpopulations(efficient_producers,X_21,X_20,skolemFOFtoCNF_T)
    | subpopulations(X_21,efficient_producers,X_20,skolemFOFtoCNF_T) ),
    inference(subst,[],[refute_0_1:[bind(E,$fot(X_20)),bind(S1,$fot(efficient_producers)),bind(S2,$fot(X_21)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_25,plain,
    ( ~ greater(zero,growth_rate(S1,T))
    | subpopulations(S1,S2,E,T) ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_26,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
    | subpopulations(efficient_producers,S2,E,skolemFOFtoCNF_T) ),
    inference(subst,[],[refute_0_25:[bind(S1,$fot(efficient_producers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_27,plain,
    subpopulations(efficient_producers,S2,E,skolemFOFtoCNF_T),
    inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_11,refute_0_26]) ).

cnf(refute_0_28,plain,
    subpopulations(efficient_producers,X_21,X_20,skolemFOFtoCNF_T),
    inference(subst,[],[refute_0_27:[bind(E,$fot(X_20)),bind(S2,$fot(X_21))]]) ).

cnf(refute_0_29,plain,
    ( ~ environment(X_20)
    | subpopulations(X_21,efficient_producers,X_20,skolemFOFtoCNF_T) ),
    inference(resolve,[$cnf( subpopulations(efficient_producers,X_21,X_20,skolemFOFtoCNF_T) )],[refute_0_28,refute_0_24]) ).

cnf(refute_0_30,plain,
    environment(X_20),
    inference(subst,[],[refute_0_16:[bind(E,$fot(X_20))]]) ).

cnf(refute_0_31,plain,
    subpopulations(X_21,efficient_producers,X_20,skolemFOFtoCNF_T),
    inference(resolve,[$cnf( environment(X_20) )],[refute_0_30,refute_0_29]) ).

cnf(refute_0_32,plain,
    subpopulations(first_movers,efficient_producers,X_22,skolemFOFtoCNF_T),
    inference(subst,[],[refute_0_31:[bind(X_20,$fot(X_22)),bind(X_21,$fot(first_movers))]]) ).

cnf(refute_0_33,plain,
    ( ~ environment(X_22)
    | in_environment(X_22,skolemFOFtoCNF_T) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,X_22,skolemFOFtoCNF_T) )],[refute_0_32,refute_0_23]) ).

cnf(refute_0_34,plain,
    environment(X_22),
    inference(subst,[],[refute_0_16:[bind(E,$fot(X_22))]]) ).

cnf(refute_0_35,plain,
    in_environment(X_22,skolemFOFtoCNF_T),
    inference(resolve,[$cnf( environment(X_22) )],[refute_0_34,refute_0_33]) ).

cnf(refute_0_36,plain,
    in_environment(X_41,skolemFOFtoCNF_T),
    inference(subst,[],[refute_0_35:[bind(X_22,$fot(X_41))]]) ).

cnf(refute_0_37,plain,
    greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T)),
    inference(resolve,[$cnf( in_environment(X_41,skolemFOFtoCNF_T) )],[refute_0_36,refute_0_21]) ).

cnf(refute_0_38,plain,
    ( ~ greater(zero,growth_rate(S1,T))
    | ~ greater_or_equal(growth_rate(S1,T),zero) ),
    inference(canonicalize,[],[normalize_0_21]) ).

cnf(refute_0_39,plain,
    ( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T))
    | ~ greater_or_equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
    inference(subst,[],[refute_0_38:[bind(S1,$fot(first_movers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_40,plain,
    ( ~ environment(E)
    | ~ outcompetes(S2,S1,T)
    | ~ subpopulations(S1,S2,E,T)
    | greater_or_equal(growth_rate(S2,T),zero) ),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_41,plain,
    ( ~ outcompetes(S2,S1,T)
    | ~ subpopulations(S1,S2,E,T)
    | greater_or_equal(growth_rate(S2,T),zero) ),
    inference(resolve,[$cnf( environment(E) )],[refute_0_16,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( ~ outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T)
    | ~ subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
    | greater_or_equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
    inference(subst,[],[refute_0_41:[bind(E,$fot(skolemFOFtoCNF_E)),bind(S1,$fot(efficient_producers)),bind(S2,$fot(first_movers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).

cnf(refute_0_43,plain,
    ( ~ outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T)
    | greater_or_equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
    inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_5,refute_0_42]) ).

cnf(refute_0_44,plain,
    greater_or_equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero),
    inference(resolve,[$cnf( outcompetes(first_movers,efficient_producers,skolemFOFtoCNF_T) )],[refute_0_10,refute_0_43]) ).

cnf(refute_0_45,plain,
    ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T)),
    inference(resolve,[$cnf( greater_or_equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_44,refute_0_39]) ).

cnf(refute_0_46,plain,
    $false,
    inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T)) )],[refute_0_37,refute_0_45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 12:10:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  
% 0.19/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36  
%------------------------------------------------------------------------------