%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT023+2 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 14:01:01 EDT 2009

% Result   : Theorem 1.0s
% Output   : Refutation 1.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   66 (  11 unt;   0 def)
%            Number of atoms       :  259 (   0 equ)
%            Maximal formula atoms :   42 (   3 avg)
%            Number of connectives :  331 ( 138   ~; 180   |;  13   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp_earliest_time_growth_rate_exceeds,plain,
    ! [A,B,E] :
      ( ( ~ greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))
        | ~ in_environment(A,B)
        | ~ environment(A)
        | ~ greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))) )
      & ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))
        | ~ in_environment(A,B)
        | ~ environment(A)
        | ~ greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))) )
      & ( greater_or_equal(t_nn_2(A,B),B)
        | ~ in_environment(A,B)
        | ~ environment(A)
        | ~ greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))) )
      & ( ~ greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))
        | ~ in_environment(A,B)
        | ~ environment(A)
        | ~ subpopulations(first_movers,efficient_producers,A,E)
        | ~ greater(E,to(A,B))
        | greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)) )
      & ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))
        | ~ in_environment(A,B)
        | ~ environment(A)
        | ~ subpopulations(first_movers,efficient_producers,A,E)
        | ~ greater(E,to(A,B))
        | greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)) )
      & ( greater_or_equal(t_nn_2(A,B),B)
        | ~ in_environment(A,B)
        | ~ environment(A)
        | ~ subpopulations(first_movers,efficient_producers,A,E)
        | ~ greater(E,to(A,B))
        | greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)) )
      & ( ~ greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))
        | ~ in_environment(A,B)
        | ~ environment(A)
        | in_environment(A,to(A,B)) )
      & ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))
        | ~ in_environment(A,B)
        | ~ environment(A)
        | in_environment(A,to(A,B)) )
      & ( greater_or_equal(t_nn_2(A,B),B)
        | ~ in_environment(A,B)
        | ~ environment(A)
        | in_environment(A,to(A,B)) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),
    [] ).

cnf(145596320,plain,
    ( greater_or_equal(t_nn_2(A,B),B)
    | ~ in_environment(A,B)
    | ~ environment(A)
    | in_environment(A,to(A,B)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

fof(prove_l5,plain,
    ( environment(e)
    & stable(e)
    & ~ in_environment(e,critical_point(e)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),
    [] ).

cnf(145861176,plain,
    environment(e),
    inference(rewrite,[status(thm)],[prove_l5]),
    [] ).

cnf(159072240,plain,
    ( greater_or_equal(t_nn_2(e,A),A)
    | ~ in_environment(e,A)
    | in_environment(e,to(e,A)) ),
    inference(resolution,[status(thm)],[145596320,145861176]),
    [] ).

fof(l1,plain,
    ! [A,C] :
      ( ( ~ subpopulations(first_movers,efficient_producers,A,C)
        | ~ greater_or_equal(C,to(A))
        | greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
        | ~ environment(A)
        | ~ stable(A) )
      & ( in_environment(A,to(A))
        | ~ environment(A)
        | ~ stable(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),
    [] ).

cnf(145765264,plain,
    ( in_environment(A,to(A))
    | ~ environment(A)
    | ~ stable(A) ),
    inference(rewrite,[status(thm)],[l1]),
    [] ).

cnf(145847736,plain,
    stable(e),
    inference(rewrite,[status(thm)],[prove_l5]),
    [] ).

cnf(159005552,plain,
    in_environment(e,to(e)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145861176,145765264,145847736]),
    [] ).

cnf(159301608,plain,
    ( greater_or_equal(t_nn_2(e,to(e)),to(e))
    | in_environment(e,to(e,to(e))) ),
    inference(resolution,[status(thm)],[159072240,159005552]),
    [] ).

cnf(145606840,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))
    | ~ in_environment(A,B)
    | ~ environment(A)
    | in_environment(A,to(A,B)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159089752,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))
    | ~ in_environment(e,A)
    | in_environment(e,to(e,A)) ),
    inference(resolution,[status(thm)],[145606840,145861176]),
    [] ).

cnf(159316632,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))
    | in_environment(e,to(e,to(e))) ),
    inference(resolution,[status(thm)],[159089752,159005552]),
    [] ).

cnf(145793672,plain,
    ( ~ subpopulations(first_movers,efficient_producers,A,C)
    | ~ greater_or_equal(C,to(A))
    | greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
    | ~ environment(A)
    | ~ stable(A) ),
    inference(rewrite,[status(thm)],[l1]),
    [] ).

cnf(159032808,plain,
    ( ~ subpopulations(first_movers,efficient_producers,e,B)
    | ~ greater_or_equal(B,to(e))
    | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145861176,145793672,145847736]),
    [] ).

cnf(145621152,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))
    | ~ in_environment(A,B)
    | ~ environment(A)
    | in_environment(A,to(A,B)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159116224,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(e,A)),growth_rate(first_movers,t_nn_2(e,A)))
    | ~ in_environment(e,A)
    | in_environment(e,to(e,A)) ),
    inference(resolution,[status(thm)],[145621152,145861176]),
    [] ).

cnf(159345512,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))
    | in_environment(e,to(e,to(e))) ),
    inference(resolution,[status(thm)],[159116224,159005552]),
    [] ).

cnf(161478480,plain,
    in_environment(e,to(e,to(e))),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159301608,159316632,159032808,159345512]),
    [] ).

cnf(145704304,plain,
    ( greater_or_equal(t_nn_2(A,B),B)
    | ~ in_environment(A,B)
    | ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159169272,plain,
    ( greater_or_equal(t_nn_2(e,A),A)
    | ~ in_environment(e,A)
    | ~ greater(growth_rate(efficient_producers,to(e,A)),growth_rate(first_movers,to(e,A))) ),
    inference(resolution,[status(thm)],[145704304,145861176]),
    [] ).

cnf(159411416,plain,
    ( greater_or_equal(t_nn_2(e,to(e)),to(e))
    | ~ greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e)))) ),
    inference(resolution,[status(thm)],[159169272,159005552]),
    [] ).

cnf(145709640,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))
    | ~ in_environment(A,B)
    | ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159196024,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))
    | ~ in_environment(e,A)
    | ~ greater(growth_rate(efficient_producers,to(e,A)),growth_rate(first_movers,to(e,A))) ),
    inference(resolution,[status(thm)],[145709640,145861176]),
    [] ).

cnf(159433952,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))
    | ~ greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e)))) ),
    inference(resolution,[status(thm)],[159196024,159005552]),
    [] ).

cnf(145718936,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))
    | ~ in_environment(A,B)
    | ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159256528,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(e,A)),growth_rate(first_movers,t_nn_2(e,A)))
    | ~ in_environment(e,A)
    | ~ greater(growth_rate(efficient_producers,to(e,A)),growth_rate(first_movers,to(e,A))) ),
    inference(resolution,[status(thm)],[145718936,145861176]),
    [] ).

cnf(159487944,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))
    | ~ greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e)))) ),
    inference(resolution,[status(thm)],[159256528,159005552]),
    [] ).

cnf(168866592,plain,
    ~ greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e)))),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159411416,159433952,159487944,159032808]),
    [] ).

fof(d1,plain,
    ! [A,B] :
      ( ( ~ greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))
        | ~ in_environment(A,B)
        | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
        | ~ environment(A)
        | $equal(critical_point(A),B) )
      & ( subpopulations(first_movers,efficient_producers,A,t(A,B))
        | ~ in_environment(A,B)
        | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
        | ~ environment(A)
        | $equal(critical_point(A),B) )
      & ( greater(t(A,B),B)
        | ~ in_environment(A,B)
        | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
        | ~ environment(A)
        | $equal(critical_point(A),B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),
    [] ).

cnf(145757232,plain,
    ( ~ greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))
    | ~ in_environment(A,B)
    | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
    | ~ environment(A)
    | $equal(critical_point(A),B) ),
    inference(rewrite,[status(thm)],[d1]),
    [] ).

cnf(159224152,plain,
    ( ~ greater(growth_rate(efficient_producers,t(e,A)),growth_rate(first_movers,t(e,A)))
    | ~ in_environment(e,A)
    | greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
    | $equal(critical_point(e),A) ),
    inference(resolution,[status(thm)],[145757232,145861176]),
    [] ).

cnf(169111552,plain,
    ( ~ greater(growth_rate(efficient_producers,t(e,to(e,to(e)))),growth_rate(first_movers,t(e,to(e,to(e)))))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161478480,168866592,159224152]),
    [] ).

cnf(145730616,plain,
    ( greater(t(A,B),B)
    | ~ in_environment(A,B)
    | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
    | ~ environment(A)
    | $equal(critical_point(A),B) ),
    inference(rewrite,[status(thm)],[d1]),
    [] ).

cnf(159145216,plain,
    ( greater(t(e,A),A)
    | ~ in_environment(e,A)
    | greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
    | $equal(critical_point(e),A) ),
    inference(resolution,[status(thm)],[145730616,145861176]),
    [] ).

cnf(162781728,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))
    | ~ in_environment(e,A)
    | greater(t(e,to(e,A)),to(e,A))
    | $equal(critical_point(e),to(e,A)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159089752,159196024,159145216]),
    [] ).

cnf(160826376,plain,
    ( greater_or_equal(t_nn_2(e,A),A)
    | ~ in_environment(e,A)
    | greater(t(e,to(e,A)),to(e,A))
    | $equal(critical_point(e),to(e,A)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159072240,159169272,159145216]),
    [] ).

cnf(167035416,plain,
    ( greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))
    | greater(t(e,to(e,to(e))),to(e,to(e)))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162781728,159005552,159032808,160826376]),
    [] ).

cnf(168949728,plain,
    ( greater(t(e,to(e,to(e))),to(e,to(e)))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[167035416,161478480,159487944,159145216]),
    [] ).

cnf(145695160,plain,
    ( ~ greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))
    | ~ in_environment(A,B)
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,E)
    | ~ greater(E,to(A,B))
    | greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(160568608,plain,
    ( greater_or_equal(t_nn_2(A,to(A)),to(A))
    | ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,to(A,to(A))),growth_rate(first_movers,to(A,to(A))))
    | ~ stable(A) ),
    inference(resolution,[status(thm)],[145704304,145765264]),
    [] ).

cnf(159546088,plain,
    ( greater_or_equal(t_nn_2(A,to(A)),to(A))
    | ~ environment(A)
    | in_environment(A,to(A,to(A)))
    | ~ stable(A) ),
    inference(resolution,[status(thm)],[145596320,145765264]),
    [] ).

cnf(164071104,plain,
    ( ~ greater(growth_rate(efficient_producers,t(e,to(e,to(e)))),growth_rate(first_movers,t(e,to(e,to(e)))))
    | $equal(critical_point(e),to(e,to(e)))
    | greater_or_equal(t_nn_2(e,to(e)),to(e)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160568608,145861176,145847736,159224152,159546088]),
    [] ).

cnf(161757856,plain,
    ( greater_or_equal(t_nn_2(e,to(e)),to(e))
    | greater(t(e,to(e,to(e))),to(e,to(e)))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159301608,159411416,159145216]),
    [] ).

cnf(145741824,plain,
    ( subpopulations(first_movers,efficient_producers,A,t(A,B))
    | ~ in_environment(A,B)
    | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
    | ~ environment(A)
    | $equal(critical_point(A),B) ),
    inference(rewrite,[status(thm)],[d1]),
    [] ).

cnf(159190072,plain,
    ( subpopulations(first_movers,efficient_producers,e,t(e,A))
    | ~ in_environment(e,A)
    | greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
    | $equal(critical_point(e),A) ),
    inference(resolution,[status(thm)],[145741824,145861176]),
    [] ).

cnf(169088416,plain,
    ( subpopulations(first_movers,efficient_producers,e,t(e,to(e,to(e))))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161478480,168866592,159190072]),
    [] ).

cnf(145673384,plain,
    ( greater_or_equal(t_nn_2(A,B),B)
    | ~ in_environment(A,B)
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,E)
    | ~ greater(E,to(A,B))
    | greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159250496,plain,
    ( greater_or_equal(t_nn_2(e,A),A)
    | ~ in_environment(e,A)
    | ~ subpopulations(first_movers,efficient_producers,e,D)
    | ~ greater(D,to(e,A))
    | greater(growth_rate(efficient_producers,D),growth_rate(first_movers,D)) ),
    inference(resolution,[status(thm)],[145673384,145861176]),
    [] ).

cnf(159481984,plain,
    ( greater_or_equal(t_nn_2(e,to(e)),to(e))
    | ~ subpopulations(first_movers,efficient_producers,e,C)
    | ~ greater(C,to(e,to(e)))
    | greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
    inference(resolution,[status(thm)],[159250496,159005552]),
    [] ).

cnf(169221112,plain,
    ( $equal(critical_point(e),to(e,to(e)))
    | greater_or_equal(t_nn_2(e,to(e)),to(e)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164071104,161757856,169088416,159481984]),
    [] ).

cnf(145838272,plain,
    ~ in_environment(e,critical_point(e)),
    inference(rewrite,[status(thm)],[prove_l5]),
    [] ).

cnf(169351864,plain,
    greater_or_equal(t_nn_2(e,to(e)),to(e)),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[159301608,169221112,145838272,theory(equality)]),
    [] ).

cnf(162548928,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,to(A)))
    | ~ environment(A)
    | ~ greater(growth_rate(efficient_producers,to(A,to(A))),growth_rate(first_movers,to(A,to(A))))
    | ~ stable(A) ),
    inference(resolution,[status(thm)],[145709640,145765264]),
    [] ).

cnf(159658928,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,to(A)))
    | ~ environment(A)
    | in_environment(A,to(A,to(A)))
    | ~ stable(A) ),
    inference(resolution,[status(thm)],[145606840,145765264]),
    [] ).

cnf(164217384,plain,
    ( ~ greater(growth_rate(efficient_producers,t(e,to(e,to(e)))),growth_rate(first_movers,t(e,to(e,to(e)))))
    | $equal(critical_point(e),to(e,to(e)))
    | subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162548928,145861176,145847736,159224152,159658928]),
    [] ).

cnf(162857640,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))
    | greater(t(e,to(e,to(e))),to(e,to(e)))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159316632,159433952,159145216]),
    [] ).

cnf(145686512,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))
    | ~ in_environment(A,B)
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,E)
    | ~ greater(E,to(A,B))
    | greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),
    [] ).

cnf(159269736,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))
    | ~ in_environment(e,A)
    | ~ subpopulations(first_movers,efficient_producers,e,D)
    | ~ greater(D,to(e,A))
    | greater(growth_rate(efficient_producers,D),growth_rate(first_movers,D)) ),
    inference(resolution,[status(thm)],[145686512,145861176]),
    [] ).

cnf(159501264,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))
    | ~ subpopulations(first_movers,efficient_producers,e,C)
    | ~ greater(C,to(e,to(e)))
    | greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
    inference(resolution,[status(thm)],[159269736,159005552]),
    [] ).

cnf(169681520,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))
    | $equal(critical_point(e),to(e,to(e))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164217384,162857640,159501264,169088416]),
    [] ).

cnf(169827200,plain,
    subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e))),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[159316632,169681520,145838272,theory(equality)]),
    [] ).

cnf(169895280,plain,
    greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e)))),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[169351864,169827200,159032808]),
    [] ).

cnf(170075720,plain,
    ( ~ subpopulations(first_movers,efficient_producers,e,C)
    | ~ greater(C,to(e,to(e)))
    | greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145861176,159005552,145695160,169895280]),
    [] ).

cnf(176594960,plain,
    $equal(critical_point(e),to(e,to(e))),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[169111552,168949728,170075720,169088416]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[161478480,176594960,145838272,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp_earliest_time_growth_rate_exceeds,plain,(((~greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))|~in_environment(A,B)|~environment(A)|~greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))))&(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))|~in_environment(A,B)|~environment(A)|~greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))))&(greater_or_equal(t_nn_2(A,B),B)|~in_environment(A,B)|~environment(A)|~greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B))))&(~greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))|~in_environment(A,B)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater(E,to(A,B))|greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)))&(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))|~in_environment(A,B)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater(E,to(A,B))|greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)))&(greater_or_equal(t_nn_2(A,B),B)|~in_environment(A,B)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater(E,to(A,B))|greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E)))&(~greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))|~in_environment(A,B)|~environment(A)|in_environment(A,to(A,B)))&(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))|~in_environment(A,B)|~environment(A)|in_environment(A,to(A,B)))&(greater_or_equal(t_nn_2(A,B),B)|~in_environment(A,B)|~environment(A)|in_environment(A,to(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),[]).
% 
% cnf(145596320,plain,(greater_or_equal(t_nn_2(A,B),B)|~in_environment(A,B)|~environment(A)|in_environment(A,to(A,B))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% fof(prove_l5,plain,((environment(e)&stable(e)&~in_environment(e,critical_point(e)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),[]).
% 
% cnf(145861176,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_l5]),[]).
% 
% cnf(159072240,plain,(greater_or_equal(t_nn_2(e,A),A)|~in_environment(e,A)|in_environment(e,to(e,A))),inference(resolution,[status(thm)],[145596320,145861176]),[]).
% 
% fof(l1,plain,(((~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))|~environment(A)|~stable(A))&(in_environment(A,to(A))|~environment(A)|~stable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),[]).
% 
% cnf(145765264,plain,(in_environment(A,to(A))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l1]),[]).
% 
% cnf(145847736,plain,(stable(e)),inference(rewrite,[status(thm)],[prove_l5]),[]).
% 
% cnf(159005552,plain,(in_environment(e,to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[145861176,145765264,145847736]),[]).
% 
% cnf(159301608,plain,(greater_or_equal(t_nn_2(e,to(e)),to(e))|in_environment(e,to(e,to(e)))),inference(resolution,[status(thm)],[159072240,159005552]),[]).
% 
% cnf(145606840,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))|~in_environment(A,B)|~environment(A)|in_environment(A,to(A,B))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159089752,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))|~in_environment(e,A)|in_environment(e,to(e,A))),inference(resolution,[status(thm)],[145606840,145861176]),[]).
% 
% cnf(159316632,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))|in_environment(e,to(e,to(e)))),inference(resolution,[status(thm)],[159089752,159005552]),[]).
% 
% cnf(145793672,plain,(~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l1]),[]).
% 
% cnf(159032808,plain,(~subpopulations(first_movers,efficient_producers,e,B)|~greater_or_equal(B,to(e))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[145861176,145793672,145847736]),[]).
% 
% cnf(145621152,plain,(~greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))|~in_environment(A,B)|~environment(A)|in_environment(A,to(A,B))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159116224,plain,(~greater(growth_rate(efficient_producers,t_nn_2(e,A)),growth_rate(first_movers,t_nn_2(e,A)))|~in_environment(e,A)|in_environment(e,to(e,A))),inference(resolution,[status(thm)],[145621152,145861176]),[]).
% 
% cnf(159345512,plain,(~greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))|in_environment(e,to(e,to(e)))),inference(resolution,[status(thm)],[159116224,159005552]),[]).
% 
% cnf(161478480,plain,(in_environment(e,to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159301608,159316632,159032808,159345512]),[]).
% 
% cnf(145704304,plain,(greater_or_equal(t_nn_2(A,B),B)|~in_environment(A,B)|~environment(A)|~greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B)))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159169272,plain,(greater_or_equal(t_nn_2(e,A),A)|~in_environment(e,A)|~greater(growth_rate(efficient_producers,to(e,A)),growth_rate(first_movers,to(e,A)))),inference(resolution,[status(thm)],[145704304,145861176]),[]).
% 
% cnf(159411416,plain,(greater_or_equal(t_nn_2(e,to(e)),to(e))|~greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e))))),inference(resolution,[status(thm)],[159169272,159005552]),[]).
% 
% cnf(145709640,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))|~in_environment(A,B)|~environment(A)|~greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B)))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159196024,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))|~in_environment(e,A)|~greater(growth_rate(efficient_producers,to(e,A)),growth_rate(first_movers,to(e,A)))),inference(resolution,[status(thm)],[145709640,145861176]),[]).
% 
% cnf(159433952,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))|~greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e))))),inference(resolution,[status(thm)],[159196024,159005552]),[]).
% 
% cnf(145718936,plain,(~greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))|~in_environment(A,B)|~environment(A)|~greater(growth_rate(efficient_producers,to(A,B)),growth_rate(first_movers,to(A,B)))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159256528,plain,(~greater(growth_rate(efficient_producers,t_nn_2(e,A)),growth_rate(first_movers,t_nn_2(e,A)))|~in_environment(e,A)|~greater(growth_rate(efficient_producers,to(e,A)),growth_rate(first_movers,to(e,A)))),inference(resolution,[status(thm)],[145718936,145861176]),[]).
% 
% cnf(159487944,plain,(~greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))|~greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e))))),inference(resolution,[status(thm)],[159256528,159005552]),[]).
% 
% cnf(168866592,plain,(~greater(growth_rate(efficient_producers,to(e,to(e))),growth_rate(first_movers,to(e,to(e))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159411416,159433952,159487944,159032808]),[]).
% 
% fof(d1,plain,(((~greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B))&(subpopulations(first_movers,efficient_producers,A,t(A,B))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B))&(greater(t(A,B),B)|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+2.tptp',unknown),[]).
% 
% cnf(145757232,plain,(~greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1]),[]).
% 
% cnf(159224152,plain,(~greater(growth_rate(efficient_producers,t(e,A)),growth_rate(first_movers,t(e,A)))|~in_environment(e,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|$equal(critical_point(e),A)),inference(resolution,[status(thm)],[145757232,145861176]),[]).
% 
% cnf(169111552,plain,(~greater(growth_rate(efficient_producers,t(e,to(e,to(e)))),growth_rate(first_movers,t(e,to(e,to(e)))))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[161478480,168866592,159224152]),[]).
% 
% cnf(145730616,plain,(greater(t(A,B),B)|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1]),[]).
% 
% cnf(159145216,plain,(greater(t(e,A),A)|~in_environment(e,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|$equal(critical_point(e),A)),inference(resolution,[status(thm)],[145730616,145861176]),[]).
% 
% cnf(162781728,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))|~in_environment(e,A)|greater(t(e,to(e,A)),to(e,A))|$equal(critical_point(e),to(e,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159089752,159196024,159145216]),[]).
% 
% cnf(160826376,plain,(greater_or_equal(t_nn_2(e,A),A)|~in_environment(e,A)|greater(t(e,to(e,A)),to(e,A))|$equal(critical_point(e),to(e,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159072240,159169272,159145216]),[]).
% 
% cnf(167035416,plain,(greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))|greater(t(e,to(e,to(e))),to(e,to(e)))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[162781728,159005552,159032808,160826376]),[]).
% 
% cnf(168949728,plain,(greater(t(e,to(e,to(e))),to(e,to(e)))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[167035416,161478480,159487944,159145216]),[]).
% 
% cnf(145695160,plain,(~greater(growth_rate(efficient_producers,t_nn_2(A,B)),growth_rate(first_movers,t_nn_2(A,B)))|~in_environment(A,B)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater(E,to(A,B))|greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(160568608,plain,(greater_or_equal(t_nn_2(A,to(A)),to(A))|~environment(A)|~greater(growth_rate(efficient_producers,to(A,to(A))),growth_rate(first_movers,to(A,to(A))))|~stable(A)),inference(resolution,[status(thm)],[145704304,145765264]),[]).
% 
% cnf(159546088,plain,(greater_or_equal(t_nn_2(A,to(A)),to(A))|~environment(A)|in_environment(A,to(A,to(A)))|~stable(A)),inference(resolution,[status(thm)],[145596320,145765264]),[]).
% 
% cnf(164071104,plain,(~greater(growth_rate(efficient_producers,t(e,to(e,to(e)))),growth_rate(first_movers,t(e,to(e,to(e)))))|$equal(critical_point(e),to(e,to(e)))|greater_or_equal(t_nn_2(e,to(e)),to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160568608,145861176,145847736,159224152,159546088]),[]).
% 
% cnf(161757856,plain,(greater_or_equal(t_nn_2(e,to(e)),to(e))|greater(t(e,to(e,to(e))),to(e,to(e)))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159301608,159411416,159145216]),[]).
% 
% cnf(145741824,plain,(subpopulations(first_movers,efficient_producers,A,t(A,B))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1]),[]).
% 
% cnf(159190072,plain,(subpopulations(first_movers,efficient_producers,e,t(e,A))|~in_environment(e,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|$equal(critical_point(e),A)),inference(resolution,[status(thm)],[145741824,145861176]),[]).
% 
% cnf(169088416,plain,(subpopulations(first_movers,efficient_producers,e,t(e,to(e,to(e))))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[161478480,168866592,159190072]),[]).
% 
% cnf(145673384,plain,(greater_or_equal(t_nn_2(A,B),B)|~in_environment(A,B)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater(E,to(A,B))|greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159250496,plain,(greater_or_equal(t_nn_2(e,A),A)|~in_environment(e,A)|~subpopulations(first_movers,efficient_producers,e,D)|~greater(D,to(e,A))|greater(growth_rate(efficient_producers,D),growth_rate(first_movers,D))),inference(resolution,[status(thm)],[145673384,145861176]),[]).
% 
% cnf(159481984,plain,(greater_or_equal(t_nn_2(e,to(e)),to(e))|~subpopulations(first_movers,efficient_producers,e,C)|~greater(C,to(e,to(e)))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(resolution,[status(thm)],[159250496,159005552]),[]).
% 
% cnf(169221112,plain,($equal(critical_point(e),to(e,to(e)))|greater_or_equal(t_nn_2(e,to(e)),to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[164071104,161757856,169088416,159481984]),[]).
% 
% cnf(145838272,plain,(~in_environment(e,critical_point(e))),inference(rewrite,[status(thm)],[prove_l5]),[]).
% 
% cnf(169351864,plain,(greater_or_equal(t_nn_2(e,to(e)),to(e))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[159301608,169221112,145838272,theory(equality)]),[]).
% 
% cnf(162548928,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,to(A)))|~environment(A)|~greater(growth_rate(efficient_producers,to(A,to(A))),growth_rate(first_movers,to(A,to(A))))|~stable(A)),inference(resolution,[status(thm)],[145709640,145765264]),[]).
% 
% cnf(159658928,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,to(A)))|~environment(A)|in_environment(A,to(A,to(A)))|~stable(A)),inference(resolution,[status(thm)],[145606840,145765264]),[]).
% 
% cnf(164217384,plain,(~greater(growth_rate(efficient_producers,t(e,to(e,to(e)))),growth_rate(first_movers,t(e,to(e,to(e)))))|$equal(critical_point(e),to(e,to(e)))|subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[162548928,145861176,145847736,159224152,159658928]),[]).
% 
% cnf(162857640,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))|greater(t(e,to(e,to(e))),to(e,to(e)))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[159316632,159433952,159145216]),[]).
% 
% cnf(145686512,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_2(A,B))|~in_environment(A,B)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater(E,to(A,B))|greater(growth_rate(efficient_producers,E),growth_rate(first_movers,E))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds]),[]).
% 
% cnf(159269736,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,A))|~in_environment(e,A)|~subpopulations(first_movers,efficient_producers,e,D)|~greater(D,to(e,A))|greater(growth_rate(efficient_producers,D),growth_rate(first_movers,D))),inference(resolution,[status(thm)],[145686512,145861176]),[]).
% 
% cnf(159501264,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))|~subpopulations(first_movers,efficient_producers,e,C)|~greater(C,to(e,to(e)))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(resolution,[status(thm)],[159269736,159005552]),[]).
% 
% cnf(169681520,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))|$equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[164217384,162857640,159501264,169088416]),[]).
% 
% cnf(169827200,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_2(e,to(e)))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[159316632,169681520,145838272,theory(equality)]),[]).
% 
% cnf(169895280,plain,(greater(growth_rate(efficient_producers,t_nn_2(e,to(e))),growth_rate(first_movers,t_nn_2(e,to(e))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[169351864,169827200,159032808]),[]).
% 
% cnf(170075720,plain,(~subpopulations(first_movers,efficient_producers,e,C)|~greater(C,to(e,to(e)))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(forward_subsumption_resolution__resolution,[status(thm)],[145861176,159005552,145695160,169895280]),[]).
% 
% cnf(176594960,plain,($equal(critical_point(e),to(e,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[169111552,168949728,170075720,169088416]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[161478480,176594960,145838272,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------