TSTP Solution File: MGT028-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 21 00:41:47 EDT 2024

% Result   : Unsatisfiable 58.94s 9.46s
% Output   : Refutation 58.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  125 (  13 unt;  16 typ;   0 def)
%            Number of atoms       :  453 (  22 equ;   0 cnn)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives : 2034 ( 283   ~; 300   |;   0   &;1451   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   6 con; 0-4 aty)
%            Number of variables   :  124 (   0   ^ 124   !;   0   ?; 124   :)

% Comments : 
%------------------------------------------------------------------------------
thf(environment_type,type,
    environment: $i > $o ).

thf(sk4_type,type,
    sk4: $i ).

thf(stable_type,type,
    stable: $i > $o ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf(appear_type,type,
    appear: $i > $i > $i ).

thf(efficient_producers_type,type,
    efficient_producers: $i ).

thf(subpopulations_type,type,
    subpopulations: $i > $i > $i > $i > $o ).

thf(first_movers_type,type,
    first_movers: $i ).

thf(sk5_type,type,
    sk5: $i > $i ).

thf(greater_or_equal_type,type,
    greater_or_equal: $i > $i > $o ).

thf(zero_type,type,
    zero: $i ).

thf(growth_rate_type,type,
    growth_rate: $i > $i > $i ).

thf(in_environment_type,type,
    in_environment: $i > $i > $o ).

thf(sk1_type,type,
    sk1: $i > $i > $i ).

thf(sk2_type,type,
    sk2: $i > $i ).

thf(sk3_type,type,
    sk3: $i > $i ).

thf(2,negated_conjecture,
    stable @ sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_11) ).

thf(17,plain,
    stable @ sk4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( in_environment @ A @ ( sk3 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_7) ).

thf(35,plain,
    ! [A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( in_environment @ A @ ( sk3 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(36,plain,
    ! [A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( in_environment @ A @ ( sk3 @ A ) ) ),
    inference(cnf,[status(esa)],[35]) ).

thf(50,plain,
    ! [A: $i] :
      ( ~ ( environment @ A )
      | ( in_environment @ A @ ( sk3 @ A ) )
      | ( ( stable @ sk4 )
       != ( stable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[17,36]) ).

thf(51,plain,
    ( ~ ( environment @ sk4 )
    | ( in_environment @ sk4 @ ( sk3 @ sk4 ) ) ),
    inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( sk4 ))]]) ).

thf(1,negated_conjecture,
    environment @ sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_10) ).

thf(16,plain,
    environment @ sk4,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(54,plain,
    ( ~ $true
    | ( in_environment @ sk4 @ ( sk3 @ sk4 ) ) ),
    inference(rewrite,[status(thm)],[51,16]) ).

thf(55,plain,
    in_environment @ sk4 @ ( sk3 @ sk4 ),
    inference(simp,[status(thm)],[54]) ).

thf(7,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(26,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    inference(cnf,[status(esa)],[25]) ).

thf(189,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) )
      | ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
       != ( in_environment @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[55,26]) ).

thf(190,plain,
    ( ~ ( environment @ sk4 )
    | ~ ( stable @ sk4 )
    | ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(pattern_uni,[status(thm)],[189:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 ))]]) ).

thf(216,plain,
    ( ~ $true
    | ~ $true
    | ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(rewrite,[status(thm)],[190,16,17]) ).

thf(217,plain,
    ( ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(simp,[status(thm)],[216]) ).

thf(6,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).

thf(23,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(24,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    inference(cnf,[status(esa)],[23]) ).

thf(60,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) )
      | ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
       != ( in_environment @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[55,24]) ).

thf(61,plain,
    ( ~ ( environment @ sk4 )
    | ~ ( stable @ sk4 )
    | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(pattern_uni,[status(thm)],[60:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 ))]]) ).

thf(69,plain,
    ( ~ $true
    | ~ $true
    | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(rewrite,[status(thm)],[61,16,17]) ).

thf(70,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(simp,[status(thm)],[69]) ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
      | ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_9) ).

thf(39,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
      | ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(40,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
      | ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
    inference(cnf,[status(esa)],[39]) ).

thf(674,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
      | ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ B ) )
      | ( ( stable @ sk4 )
       != ( stable @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[17,40]) ).

thf(675,plain,
    ! [A: $i] :
      ( ~ ( environment @ sk4 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(pattern_uni,[status(thm)],[674:[bind(A,$thf( sk4 ))]]) ).

thf(685,plain,
    ! [A: $i] :
      ( ~ ( environment @ sk4 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(simp,[status(thm)],[675]) ).

thf(2155,plain,
    ! [A: $i] :
      ( ~ $true
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(rewrite,[status(thm)],[685,16]) ).

thf(2156,plain,
    ! [A: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(simp,[status(thm)],[2155]) ).

thf(2169,plain,
    ! [A: $i] :
      ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
      | ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
       != ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[70,2156]) ).

thf(2170,plain,
    ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
    | ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ) ),
    inference(pattern_uni,[status(thm)],[2169:[bind(A,$thf( sk1 @ ( sk3 @ sk4 ) @ sk4 ))]]) ).

thf(10,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).

thf(31,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(32,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( in_environment @ A @ B )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
    inference(cnf,[status(esa)],[31]) ).

thf(478,plain,
    ! [B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
      | ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) )
      | ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
       != ( in_environment @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[55,32]) ).

thf(479,plain,
    ( ~ ( environment @ sk4 )
    | ~ ( stable @ sk4 )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(pattern_uni,[status(thm)],[478:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 ))]]) ).

thf(485,plain,
    ( ~ $true
    | ~ $true
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(rewrite,[status(thm)],[479,16,17]) ).

thf(486,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
    | ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(simp,[status(thm)],[485]) ).

thf(4,negated_conjecture,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( greater_or_equal @ ( sk5 @ A ) @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_13) ).

thf(19,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( greater_or_equal @ ( sk5 @ A ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(21,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( greater_or_equal @ ( sk5 @ A ) @ A ) ),
    inference(cnf,[status(esa)],[19]) ).

thf(3,negated_conjecture,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_12) ).

thf(18,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(20,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) ),
    inference(cnf,[status(esa)],[18]) ).

thf(11,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).

thf(33,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(34,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    inference(cnf,[status(esa)],[33]) ).

thf(79,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( environment @ B )
      | ~ ( stable @ B )
      | ~ ( in_environment @ B @ C )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ C @ B ) ) )
      | ~ ( greater_or_equal @ D @ ( sk2 @ B ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ D ) )
      | ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) )
       != ( subpopulations @ first_movers @ efficient_producers @ B @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[20,34]) ).

thf(80,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( environment @ sk4 )
      | ~ ( stable @ sk4 )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
    inference(pattern_uni,[status(thm)],[79:[bind(A,$thf( E )),bind(B,$thf( sk4 )),bind(C,$thf( C )),bind(D,$thf( sk5 @ E ))]]) ).

thf(97,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( environment @ sk4 )
      | ~ ( stable @ sk4 )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
    inference(simp,[status(thm)],[80]) ).

thf(106,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ $true
      | ~ $true
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
    inference(rewrite,[status(thm)],[97,16,17]) ).

thf(107,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
    inference(simp,[status(thm)],[106]) ).

thf(5,negated_conjecture,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_14) ).

thf(15,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(22,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(41,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) )
       != ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) )
      | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[22]) ).

thf(42,plain,
    ! [A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) )
       != ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
    inference(simp,[status(thm)],[41]) ).

thf(116,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
      | ~ ( greater @ C @ ( appear @ efficient_producers @ sk4 ) )
      | ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) )
       != ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ C ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[107,42]) ).

thf(117,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
      | ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) ) ),
    inference(pattern_uni,[status(thm)],[116:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).

thf(155,plain,
    ! [B: $i,A: $i] :
      ( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) ) ),
    inference(simp,[status(thm)],[117]) ).

thf(164,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater @ C @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ B )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ sk4 ) ) )
      | ( ( greater_or_equal @ ( sk5 @ A ) @ A )
       != ( greater_or_equal @ ( sk5 @ C ) @ ( sk2 @ sk4 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[21,155]) ).

thf(165,plain,
    ! [A: $i] :
      ( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) ) ),
    inference(pattern_uni,[status(thm)],[164:[bind(A,$thf( sk2 @ sk4 )),bind(B,$thf( B )),bind(C,$thf( sk2 @ sk4 ))]]) ).

thf(171,plain,
    ! [A: $i] :
      ( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( in_environment @ sk4 @ A )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) ) ),
    inference(simp,[status(thm)],[165]) ).

thf(175,plain,
    ! [A: $i] :
      ( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
      | ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
       != ( in_environment @ sk4 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[55,171]) ).

thf(176,plain,
    ( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
    | ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ) ),
    inference(pattern_uni,[status(thm)],[175:[bind(A,$thf( sk3 @ sk4 ))]]) ).

thf(519,plain,
    ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
    | ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
     != ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[486,176]) ).

thf(520,plain,
    ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ),
    inference(pattern_uni,[status(thm)],[519:[]]) ).

thf(3374,plain,
    ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
    | ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | $false ),
    inference(rewrite,[status(thm)],[2170,520]) ).

thf(3375,plain,
    ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
    | ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) ) ),
    inference(simp,[status(thm)],[3374]) ).

thf(3376,plain,
    ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
    | ( ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
     != ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[217,3375]) ).

thf(3377,plain,
    greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ),
    inference(pattern_uni,[status(thm)],[3376:[]]) ).

thf(3404,plain,
    ! [A: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) )
      | ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
       != ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[3377,20]) ).

thf(3405,plain,
    subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ ( sk2 @ sk4 ) ),
    inference(pattern_uni,[status(thm)],[3404:[bind(A,$thf( sk2 @ sk4 ))]]) ).

thf(9,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).

thf(29,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(30,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    inference(cnf,[status(esa)],[29]) ).

thf(392,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( 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 ) )
      | ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
       != ( in_environment @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[55,30]) ).

thf(393,plain,
    ! [A: $i] :
      ( ~ ( environment @ sk4 )
      | ~ ( stable @ sk4 )
      | ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(pattern_uni,[status(thm)],[392:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 )),bind(C,$thf( C ))]]) ).

thf(410,plain,
    ! [A: $i] :
      ( ~ ( environment @ sk4 )
      | ~ ( stable @ sk4 )
      | ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(simp,[status(thm)],[393]) ).

thf(8,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).

thf(27,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(28,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( 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 ) ) ),
    inference(cnf,[status(esa)],[27]) ).

thf(267,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( environment @ A )
      | ~ ( stable @ A )
      | ( 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 ) )
      | ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
       != ( in_environment @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[55,28]) ).

thf(268,plain,
    ! [A: $i] :
      ( ~ ( environment @ sk4 )
      | ~ ( stable @ sk4 )
      | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(pattern_uni,[status(thm)],[267:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 )),bind(C,$thf( C ))]]) ).

thf(276,plain,
    ! [A: $i] :
      ( ~ ( environment @ sk4 )
      | ~ ( stable @ sk4 )
      | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(simp,[status(thm)],[268]) ).

thf(4467,plain,
    ! [A: $i] :
      ( ~ $true
      | ~ $true
      | ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(rewrite,[status(thm)],[276,16,17]) ).

thf(4468,plain,
    ! [A: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(simp,[status(thm)],[4467]) ).

thf(4515,plain,
    ! [A: $i] :
      ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
      | ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ ( sk2 @ sk4 ) ) )
       != ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[3405,4468]) ).

thf(4516,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
    | ~ ( greater_or_equal @ ( sk5 @ ( sk2 @ sk4 ) ) @ ( sk2 @ sk4 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ ( sk2 @ sk4 ) ) ) ) ),
    inference(pattern_uni,[status(thm)],[4515:[bind(A,$thf( sk5 @ ( sk2 @ sk4 ) ))]]) ).

thf(3426,plain,
    ! [A: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) )
      | ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
       != ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[3377,22]) ).

thf(3427,plain,
    ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ ( sk2 @ sk4 ) ) ) ),
    inference(pattern_uni,[status(thm)],[3426:[bind(A,$thf( sk2 @ sk4 ))]]) ).

thf(3415,plain,
    ! [A: $i] :
      ( ( greater_or_equal @ ( sk5 @ A ) @ A )
      | ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
       != ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[3377,21]) ).

thf(3416,plain,
    greater_or_equal @ ( sk5 @ ( sk2 @ sk4 ) ) @ ( sk2 @ sk4 ),
    inference(pattern_uni,[status(thm)],[3415:[bind(A,$thf( sk2 @ sk4 ))]]) ).

thf(4537,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
    | ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[4516,3427,3416]) ).

thf(4538,plain,
    subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ),
    inference(simp,[status(thm)],[4537]) ).

thf(4550,plain,
    ! [A: $i] :
      ( ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
      | ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
       != ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[4538,2156]) ).

thf(4551,plain,
    ( ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ) ),
    inference(pattern_uni,[status(thm)],[4550:[bind(A,$thf( sk1 @ ( sk3 @ sk4 ) @ sk4 ))]]) ).

thf(4572,plain,
    ( ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
    | $false ),
    inference(rewrite,[status(thm)],[4551,520]) ).

thf(4573,plain,
    ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) ),
    inference(simp,[status(thm)],[4572]) ).

thf(6825,plain,
    ! [A: $i] :
      ( ~ $true
      | ~ $true
      | $false
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(rewrite,[status(thm)],[410,16,17,4573]) ).

thf(6826,plain,
    ! [A: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
      | ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
    inference(simp,[status(thm)],[6825]) ).

thf(6859,plain,
    ! [A: $i] :
      ( ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
      | ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
      | ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ ( sk2 @ sk4 ) ) )
       != ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[3405,6826]) ).

thf(6860,plain,
    ( ~ ( greater_or_equal @ ( sk5 @ ( sk2 @ sk4 ) ) @ ( sk2 @ sk4 ) )
    | ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ ( sk2 @ sk4 ) ) ) ) ),
    inference(pattern_uni,[status(thm)],[6859:[bind(A,$thf( sk5 @ ( sk2 @ sk4 ) ))]]) ).

thf(6873,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[6860,3427,3416]) ).

thf(6874,plain,
    $false,
    inference(simp,[status(thm)],[6873]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sun May 19 00:07:09 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.97/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.10/1.01  % [INFO] 	 Parsing done (116ms). 
% 1.10/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.78/1.26  % [INFO] 	 nitpick registered as external prover. 
% 1.78/1.26  % [INFO] 	 Scanning for conjecture ... 
% 2.00/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ... 
% 2.00/1.36  % [INFO] 	 Axiom selection finished. Selected 9 axioms (removed 0 axioms). 
% 2.18/1.39  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.18/1.39  % [INFO] 	 Type checking passed. 
% 2.18/1.39  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 58.94/9.44  % [INFO] 	 Killing All external provers ... 
% 58.94/9.46  % Time passed: 8918ms (effective reasoning time: 8412ms)
% 58.94/9.46  % Axioms used in derivation (8): l11_7, mp_first_movers_negative_growth_6, mp_first_movers_negative_growth_2, mp_first_movers_negative_growth_3, mp_first_movers_negative_growth_4, l11_9, mp_first_movers_negative_growth_5, mp_first_movers_negative_growth_1
% 58.94/9.46  % No. of inferences in proof: 109
% 58.94/9.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8918 ms resp. 8412 ms w/o parsing
% 58.94/9.53  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 58.94/9.53  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------