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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT030-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:47:31 PM UTC 2026

% Result   : Unsatisfiable 1.25s 1.72s
% Output   : CNFRefutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   60 (  10 unt;  29 nHn;  60 RR)
%            Number of literals    :  191 (   0 equ;  98 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   63 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(l1_10,hypothesis,
    ( in_environment(X1,sk3(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_10) ).

cnf(prove_l12_13,negated_conjecture,
    stable(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_13) ).

cnf(prove_l12_12,negated_conjecture,
    environment(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_12) ).

cnf(mp_earliest_time_growth_rate_exceeds_2,axiom,
    ( greater_or_equal(sk1(X2,X1),X2)
    | in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_2) ).

cnf(mp_earliest_time_growth_rate_exceeds_1,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_1) ).

cnf(l1_11,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ stable(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ greater_or_equal(X2,sk3(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_11) ).

cnf(prove_l12_15,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | greater(sk5(X1),X1)
    | ~ in_environment(sk4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_15) ).

cnf(mp_earliest_time_growth_rate_exceeds_7,axiom,
    ( in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_7) ).

cnf(mp_earliest_time_growth_rate_exceeds_6,axiom,
    ( greater_or_equal(sk1(X2,X1),X2)
    | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater(X3,sk2(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_6) ).

cnf(prove_l12_14,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(X1))
    | ~ in_environment(sk4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_14) ).

cnf(prove_l12_16,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(sk4,X1)
    | ~ greater(growth_rate(efficient_producers,sk5(X1)),growth_rate(first_movers,sk5(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_16) ).

cnf(mp_earliest_time_growth_rate_exceeds_4,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater(X3,sk2(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_4) ).

cnf(mp_earliest_time_growth_rate_exceeds_9,axiom,
    ( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater(X3,sk2(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_9) ).

cnf(mp_earliest_time_growth_rate_exceeds_5,axiom,
    ( greater_or_equal(sk1(X2,X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_5) ).

cnf(mp_earliest_time_growth_rate_exceeds_3,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_3) ).

cnf(mp_earliest_time_growth_rate_exceeds_8,axiom,
    ( ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_8) ).

cnf(c_0_16,hypothesis,
    ( in_environment(X1,sk3(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    l1_10 ).

cnf(c_0_17,negated_conjecture,
    stable(sk4),
    prove_l12_13 ).

cnf(c_0_18,negated_conjecture,
    environment(sk4),
    prove_l12_12 ).

cnf(c_0_19,axiom,
    ( greater_or_equal(sk1(X2,X1),X2)
    | in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_earliest_time_growth_rate_exceeds_2 ).

cnf(c_0_20,negated_conjecture,
    in_environment(sk4,sk3(sk4)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    mp_earliest_time_growth_rate_exceeds_1 ).

cnf(c_0_22,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ stable(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ greater_or_equal(X2,sk3(X1)) ),
    l1_11 ).

cnf(c_0_23,negated_conjecture,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | in_environment(sk4,sk2(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18])]) ).

cnf(c_0_24,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | in_environment(sk4,sk2(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_18])]) ).

cnf(c_0_25,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | greater(sk5(X1),X1)
    | ~ in_environment(sk4,X1) ),
    prove_l12_15 ).

cnf(c_0_26,hypothesis,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | in_environment(sk4,sk2(sk4)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]),c_0_18])]),c_0_24]) ).

cnf(c_0_27,axiom,
    ( in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
    mp_earliest_time_growth_rate_exceeds_7 ).

cnf(c_0_28,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | greater(sk5(sk2(sk4)),sk2(sk4)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,axiom,
    ( greater_or_equal(sk1(X2,X1),X2)
    | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater(X3,sk2(X1)) ),
    mp_earliest_time_growth_rate_exceeds_6 ).

cnf(c_0_30,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | greater(sk5(sk2(sk4)),sk2(sk4)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20]),c_0_18])]),c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(X1))
    | ~ in_environment(sk4,X1) ),
    prove_l12_14 ).

cnf(c_0_32,negated_conjecture,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ in_environment(sk4,X1)
    | ~ greater(growth_rate(efficient_producers,sk5(X1)),growth_rate(first_movers,sk5(X1))) ),
    prove_l12_16 ).

cnf(c_0_33,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater(X3,sk2(X1)) ),
    mp_earliest_time_growth_rate_exceeds_4 ).

cnf(c_0_34,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | greater_or_equal(sk1(X1,sk4),X1)
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
    | ~ in_environment(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18])]) ).

cnf(c_0_35,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | ~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(spm,[status(thm)],[c_0_32,c_0_26]) ).

cnf(c_0_37,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
    | ~ in_environment(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_18])]) ).

cnf(c_0_38,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | greater_or_equal(sk1(X1,sk4),X1)
    | ~ in_environment(sk4,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
    | ~ in_environment(sk4,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_20]) ).

cnf(c_0_41,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_20]) ).

cnf(c_0_42,hypothesis,
    ( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_40]),c_0_17]),c_0_18])]),c_0_41]) ).

cnf(c_0_43,axiom,
    ( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
    | ~ subpopulations(first_movers,efficient_producers,X1,X3)
    | ~ greater(X3,sk2(X1)) ),
    mp_earliest_time_growth_rate_exceeds_9 ).

cnf(c_0_44,hypothesis,
    ( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | in_environment(sk4,sk2(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_42]),c_0_20]),c_0_18])]) ).

cnf(c_0_45,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
    | greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
    | ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
    | ~ in_environment(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_18])]) ).

cnf(c_0_46,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | ~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(spm,[status(thm)],[c_0_32,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
    | ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
    | ~ in_environment(sk4,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_49,axiom,
    ( greater_or_equal(sk1(X2,X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    mp_earliest_time_growth_rate_exceeds_5 ).

cnf(c_0_50,negated_conjecture,
    greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_20]),c_0_42]) ).

cnf(c_0_51,axiom,
    ( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    mp_earliest_time_growth_rate_exceeds_3 ).

cnf(c_0_52,axiom,
    ( ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    mp_earliest_time_growth_rate_exceeds_8 ).

cnf(c_0_53,negated_conjecture,
    ( greater_or_equal(sk1(X1,sk4),X1)
    | ~ in_environment(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_18])]) ).

cnf(c_0_54,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
    | ~ in_environment(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_18])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
    | ~ in_environment(sk4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_18])]) ).

cnf(c_0_56,negated_conjecture,
    greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
    inference(spm,[status(thm)],[c_0_53,c_0_20]) ).

cnf(c_0_57,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
    inference(spm,[status(thm)],[c_0_54,c_0_20]) ).

cnf(c_0_58,negated_conjecture,
    ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))),
    inference(spm,[status(thm)],[c_0_55,c_0_20]) ).

cnf(c_0_59,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_56]),c_0_17]),c_0_57]),c_0_18])]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT030-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n019.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 23:27:44 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.25/1.72  % Version  : CSE_E---1.7
% 1.25/1.72  % Problem  : theBenchmark.p
% 1.25/1.72  % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72  % SZS output start CNFRefutation
% See solution above
% 1.25/1.72  % Total time : 1.368s
%------------------------------------------------------------------------------