TSTP Solution File: MGT028-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT028-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 22:18:57 EDT 2022

% Result   : Unsatisfiable 0.18s 0.35s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   67 (   9 unt;  34 nHn;  67 RR)
%            Number of literals    :  235 (   0 equ; 137 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_first_movers_negative_growth_1,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | subpopulations(first_movers,efficient_producers,A,sk1(B,A))
    | greater(sk2(A),appear(efficient_producers,A)) ) ).

cnf(mp_first_movers_negative_growth_2,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | greater_or_equal(sk1(B,A),B)
    | greater(sk2(A),appear(efficient_producers,A)) ) ).

cnf(mp_first_movers_negative_growth_3,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | subpopulations(first_movers,efficient_producers,A,sk1(B,A))
    | ~ subpopulations(first_movers,efficient_producers,A,C)
    | ~ greater_or_equal(C,sk2(A))
    | greater(zero,growth_rate(first_movers,C)) ) ).

cnf(mp_first_movers_negative_growth_4,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | greater_or_equal(sk1(B,A),B)
    | ~ subpopulations(first_movers,efficient_producers,A,C)
    | ~ greater_or_equal(C,sk2(A))
    | greater(zero,growth_rate(first_movers,C)) ) ).

cnf(mp_first_movers_negative_growth_5,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
    | greater(sk2(A),appear(efficient_producers,A)) ) ).

cnf(mp_first_movers_negative_growth_6,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
    | ~ subpopulations(first_movers,efficient_producers,A,C)
    | ~ greater_or_equal(C,sk2(A))
    | greater(zero,growth_rate(first_movers,C)) ) ).

cnf(l11_7,hypothesis,
    ( ~ environment(A)
    | ~ stable(A)
    | in_environment(A,sk3(A)) ) ).

cnf(l11_9,hypothesis,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ greater_or_equal(B,sk3(A))
    | greater(zero,growth_rate(first_movers,B)) ) ).

cnf(prove_l10_10,negated_conjecture,
    environment(sk4) ).

cnf(prove_l10_11,negated_conjecture,
    stable(sk4) ).

cnf(prove_l10_12,negated_conjecture,
    ( ~ greater(A,appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ) ).

cnf(prove_l10_13,negated_conjecture,
    ( ~ greater(A,appear(efficient_producers,sk4))
    | greater_or_equal(sk5(A),A) ) ).

cnf(prove_l10_14,negated_conjecture,
    ( ~ greater(A,appear(efficient_producers,sk4))
    | ~ greater(zero,growth_rate(first_movers,sk5(A))) ) ).

cnf(refute_0_0,plain,
    ( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(subst,[],[prove_l10_14:[bind(A,$fot(sk2(sk4)))]]) ).

cnf(refute_0_1,plain,
    ( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
    inference(subst,[],[prove_l10_12:[bind(A,$fot(sk2(sk4)))]]) ).

cnf(refute_0_2,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | in_environment(sk4,sk3(sk4)) ),
    inference(subst,[],[l11_7:[bind(A,$fot(sk4))]]) ).

cnf(refute_0_3,plain,
    ( ~ environment(sk4)
    | in_environment(sk4,sk3(sk4)) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_2]) ).

cnf(refute_0_4,plain,
    in_environment(sk4,sk3(sk4)),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ environment(sk4)
    | ~ in_environment(sk4,sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(subst,[],[mp_first_movers_negative_growth_2:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).

cnf(refute_0_6,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ stable(sk4)
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(subst,[],[l11_9:[bind(A,$fot(sk4)),bind(B,$fot(sk1(sk3(sk4),sk4)))]]) ).

cnf(refute_0_10,plain,
    ( ~ environment(sk4)
    | ~ in_environment(sk4,sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(subst,[],[mp_first_movers_negative_growth_1:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).

cnf(refute_0_11,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_4,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) )],[refute_0_13,refute_0_9]) ).

cnf(refute_0_15,plain,
    ( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolve,[$cnf( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) )],[refute_0_8,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( ~ environment(sk4)
    | ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | ~ in_environment(sk4,sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(subst,[],[mp_first_movers_negative_growth_5:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).

cnf(refute_0_19,plain,
    ( ~ environment(sk4)
    | ~ in_environment(sk4,sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ in_environment(sk4,sk3(sk4))
    | ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ stable(sk4)
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_4,refute_0_20]) ).

cnf(refute_0_22,plain,
    greater(sk2(sk4),appear(efficient_producers,sk4)),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_21]) ).

cnf(refute_0_23,plain,
    subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
    inference(resolve,[$cnf( greater(sk2(sk4),appear(efficient_producers,sk4)) )],[refute_0_22,refute_0_1]) ).

cnf(refute_0_24,plain,
    ( ~ environment(sk4)
    | ~ greater(zero,growth_rate(first_movers,sk1(X_19,sk4)))
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_19)
    | ~ stable(sk4)
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(subst,[],[mp_first_movers_negative_growth_6:[bind(A,$fot(sk4)),bind(B,$fot(X_19)),bind(C,$fot(sk5(sk2(sk4))))]]) ).

cnf(refute_0_25,plain,
    ( ~ environment(sk4)
    | ~ greater(zero,growth_rate(first_movers,sk1(X_19,sk4)))
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_19)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X_19,sk4)))
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_19)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater_or_equal(sk5(sk2(sk4)),sk2(sk4)) ),
    inference(subst,[],[prove_l10_13:[bind(A,$fot(sk2(sk4)))]]) ).

cnf(refute_0_28,plain,
    greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
    inference(resolve,[$cnf( greater(sk2(sk4),appear(efficient_producers,sk4)) )],[refute_0_22,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X_19,sk4)))
    | ~ in_environment(sk4,X_19)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( greater_or_equal(sk5(sk2(sk4)),sk2(sk4)) )],[refute_0_28,refute_0_26]) ).

cnf(refute_0_30,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(X_19,sk4)))
    | ~ in_environment(sk4,X_19)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | ~ in_environment(sk4,sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(subst,[],[refute_0_30:[bind(X_19,$fot(sk3(sk4)))]]) ).

cnf(refute_0_32,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_15)
    | ~ stable(sk4)
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(X_15,sk4),X_15) ),
    inference(subst,[],[mp_first_movers_negative_growth_4:[bind(A,$fot(sk4)),bind(B,$fot(X_15)),bind(C,$fot(sk5(sk2(sk4))))]]) ).

cnf(refute_0_33,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_15)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(X_15,sk4),X_15) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) )],[refute_0_23,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_15)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(X_15,sk4),X_15) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( ~ in_environment(sk4,X_15)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(X_15,sk4),X_15) ),
    inference(resolve,[$cnf( greater_or_equal(sk5(sk2(sk4)),sk2(sk4)) )],[refute_0_28,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( ~ in_environment(sk4,X_15)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(X_15,sk4),X_15) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( ~ in_environment(sk4,sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(subst,[],[refute_0_36:[bind(X_15,$fot(sk3(sk4)))]]) ).

cnf(refute_0_38,plain,
    ( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_4,refute_0_37]) ).

cnf(refute_0_39,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_23)
    | ~ stable(sk4)
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X_23,sk4)) ),
    inference(subst,[],[mp_first_movers_negative_growth_3:[bind(A,$fot(sk4)),bind(B,$fot(X_23)),bind(C,$fot(sk5(sk2(sk4))))]]) ).

cnf(refute_0_40,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_23)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X_23,sk4)) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) )],[refute_0_23,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | ~ in_environment(sk4,X_23)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X_23,sk4)) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( ~ in_environment(sk4,X_23)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X_23,sk4)) ),
    inference(resolve,[$cnf( greater_or_equal(sk5(sk2(sk4)),sk2(sk4)) )],[refute_0_28,refute_0_41]) ).

cnf(refute_0_43,plain,
    ( ~ in_environment(sk4,X_23)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X_23,sk4)) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( ~ in_environment(sk4,sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(subst,[],[refute_0_43:[bind(X_23,$fot(sk3(sk4)))]]) ).

cnf(refute_0_45,plain,
    ( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_4,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( ~ environment(sk4)
    | ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) )],[refute_0_45,refute_0_9]) ).

cnf(refute_0_47,plain,
    ( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( environment(sk4) )],[prove_l10_10,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( stable(sk4) )],[prove_l10_11,refute_0_47]) ).

cnf(refute_0_49,plain,
    ( greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) )],[refute_0_38,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( ~ in_environment(sk4,sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_49,refute_0_31]) ).

cnf(refute_0_51,plain,
    greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
    inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_4,refute_0_50]) ).

cnf(refute_0_52,plain,
    ~ greater(sk2(sk4),appear(efficient_producers,sk4)),
    inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) )],[refute_0_51,refute_0_0]) ).

cnf(refute_0_53,plain,
    $false,
    inference(resolve,[$cnf( greater(sk2(sk4),appear(efficient_producers,sk4)) )],[refute_0_22,refute_0_52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT028-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 11:09:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  
% 0.18/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.36  
%------------------------------------------------------------------------------