TSTP Solution File: MGT028+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT028+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 14:01:27 EDT 2009

% Result   : Theorem 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   33 (   8 unt;   0 def)
%            Number of atoms       :  163 (   0 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  217 (  87   ~; 109   |;  21   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l10,plain,
    ! [B] :
      ( ( environment(e)
        | subpopulations(first_movers,efficient_producers,e,t(B)) )
      & ( stable(e)
        | subpopulations(first_movers,efficient_producers,e,t(B)) )
      & ( ~ greater(B,appear(efficient_producers,e))
        | subpopulations(first_movers,efficient_producers,e,t(B)) )
      & ( environment(e)
        | greater_or_equal(t(B),B) )
      & ( stable(e)
        | greater_or_equal(t(B),B) )
      & ( ~ greater(B,appear(efficient_producers,e))
        | greater_or_equal(t(B),B) )
      & ( environment(e)
        | ~ greater(zero,growth_rate(first_movers,t(B))) )
      & ( stable(e)
        | ~ greater(zero,growth_rate(first_movers,t(B))) )
      & ( ~ greater(B,appear(efficient_producers,e))
        | ~ greater(zero,growth_rate(first_movers,t(B))) )
      & ( environment(e)
        | environment(e) )
      & ( stable(e)
        | environment(e) )
      & ( ~ greater(B,appear(efficient_producers,e))
        | environment(e) )
      & ( environment(e)
        | stable(e) )
      & ( stable(e)
        | stable(e) )
      & ( ~ greater(B,appear(efficient_producers,e))
        | stable(e) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028+1.tptp',unknown),
    [] ).

cnf(168474056,plain,
    environment(e),
    inference(rewrite,[status(thm)],[prove_l10]),
    [] ).

cnf(168459784,plain,
    stable(e),
    inference(rewrite,[status(thm)],[prove_l10]),
    [] ).

fof(mp_first_movers_negative_growth,plain,
    ! [A,B,E] :
      ( ( subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))
        | ~ in_environment(A,B)
        | ~ stable(A)
        | ~ environment(A)
        | ~ subpopulations(first_movers,efficient_producers,A,E)
        | ~ greater_or_equal(E,t2(A,B))
        | greater(zero,growth_rate(first_movers,E)) )
      & ( greater_or_equal(t_nn_1(A,B),B)
        | ~ in_environment(A,B)
        | ~ stable(A)
        | ~ environment(A)
        | ~ subpopulations(first_movers,efficient_producers,A,E)
        | ~ greater_or_equal(E,t2(A,B))
        | greater(zero,growth_rate(first_movers,E)) )
      & ( ~ greater(zero,growth_rate(first_movers,t_nn_1(A,B)))
        | ~ in_environment(A,B)
        | ~ stable(A)
        | ~ environment(A)
        | ~ subpopulations(first_movers,efficient_producers,A,E)
        | ~ greater_or_equal(E,t2(A,B))
        | greater(zero,growth_rate(first_movers,E)) )
      & ( subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))
        | ~ in_environment(A,B)
        | ~ stable(A)
        | ~ environment(A)
        | greater(t2(A,B),appear(efficient_producers,A)) )
      & ( greater_or_equal(t_nn_1(A,B),B)
        | ~ in_environment(A,B)
        | ~ stable(A)
        | ~ environment(A)
        | greater(t2(A,B),appear(efficient_producers,A)) )
      & ( ~ greater(zero,growth_rate(first_movers,t_nn_1(A,B)))
        | ~ in_environment(A,B)
        | ~ stable(A)
        | ~ environment(A)
        | greater(t2(A,B),appear(efficient_producers,A)) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028+1.tptp',unknown),
    [] ).

cnf(168143864,plain,
    ( greater_or_equal(t_nn_1(A,B),B)
    | ~ in_environment(A,B)
    | ~ stable(A)
    | ~ environment(A)
    | greater(t2(A,B),appear(efficient_producers,A)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),
    [] ).

fof(l11,plain,
    ! [C,A] :
      ( ( greater(zero,growth_rate(first_movers,C))
        | ~ subpopulations(first_movers,efficient_producers,A,C)
        | ~ greater_or_equal(C,to(A))
        | ~ environment(A)
        | ~ stable(A) )
      & ( greater(growth_rate(efficient_producers,C),zero)
        | ~ subpopulations(first_movers,efficient_producers,A,C)
        | ~ greater_or_equal(C,to(A))
        | ~ environment(A)
        | ~ stable(A) )
      & ( in_environment(A,to(A))
        | ~ environment(A)
        | ~ stable(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028+1.tptp',unknown),
    [] ).

cnf(168231800,plain,
    ( in_environment(A,to(A))
    | ~ environment(A)
    | ~ stable(A) ),
    inference(rewrite,[status(thm)],[l11]),
    [] ).

cnf(192252536,plain,
    in_environment(e,to(e)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168231800,168459784]),
    [] ).

cnf(192444408,plain,
    ( greater_or_equal(t_nn_1(e,to(e)),to(e))
    | greater(t2(e,to(e)),appear(efficient_producers,e)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168459784,168143864,192252536]),
    [] ).

cnf(168519032,plain,
    ( ~ greater(B,appear(efficient_producers,e))
    | subpopulations(first_movers,efficient_producers,e,t(B)) ),
    inference(rewrite,[status(thm)],[prove_l10]),
    [] ).

cnf(192641936,plain,
    ( greater_or_equal(t_nn_1(e,to(e)),to(e))
    | subpopulations(first_movers,efficient_producers,e,t(t2(e,to(e)))) ),
    inference(resolution,[status(thm)],[192444408,168519032]),
    [] ).

cnf(168210968,plain,
    ( greater_or_equal(t_nn_1(A,B),B)
    | ~ in_environment(A,B)
    | ~ stable(A)
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,E)
    | ~ greater_or_equal(E,t2(A,B))
    | greater(zero,growth_rate(first_movers,E)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),
    [] ).

cnf(168127344,plain,
    ( ~ greater(zero,growth_rate(first_movers,t_nn_1(A,B)))
    | ~ in_environment(A,B)
    | ~ stable(A)
    | ~ environment(A)
    | greater(t2(A,B),appear(efficient_producers,A)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),
    [] ).

cnf(168155736,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))
    | ~ in_environment(A,B)
    | ~ stable(A)
    | ~ environment(A)
    | greater(t2(A,B),appear(efficient_producers,A)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),
    [] ).

cnf(192460072,plain,
    ( subpopulations(first_movers,efficient_producers,e,t_nn_1(e,to(e)))
    | greater(t2(e,to(e)),appear(efficient_producers,e)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168459784,168155736,192252536]),
    [] ).

cnf(168280304,plain,
    ( greater(zero,growth_rate(first_movers,C))
    | ~ subpopulations(first_movers,efficient_producers,A,C)
    | ~ greater_or_equal(C,to(A))
    | ~ environment(A)
    | ~ stable(A) ),
    inference(rewrite,[status(thm)],[l11]),
    [] ).

cnf(193246576,plain,
    ( greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))
    | greater(t2(e,to(e)),appear(efficient_producers,e)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[192460072,168474056,168459784,168280304,192444408]),
    [] ).

cnf(193959928,plain,
    greater(t2(e,to(e)),appear(efficient_producers,e)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,192252536,168459784,168127344,193246576]),
    [] ).

cnf(168509736,plain,
    ( ~ greater(B,appear(efficient_producers,e))
    | greater_or_equal(t(B),B) ),
    inference(rewrite,[status(thm)],[prove_l10]),
    [] ).

cnf(194069480,plain,
    greater_or_equal(t(t2(e,to(e))),t2(e,to(e))),
    inference(resolution,[status(thm)],[193959928,168509736]),
    [] ).

cnf(195199328,plain,
    ( greater_or_equal(t_nn_1(e,to(e)),to(e))
    | greater(zero,growth_rate(first_movers,t(t2(e,to(e))))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[192641936,168474056,192252536,168459784,168210968,194069480]),
    [] ).

cnf(192322928,plain,
    ( greater(zero,growth_rate(first_movers,B))
    | ~ subpopulations(first_movers,efficient_producers,e,B)
    | ~ greater_or_equal(B,to(e)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168280304,168459784]),
    [] ).

cnf(195847512,plain,
    ( greater(zero,growth_rate(first_movers,t(t2(e,to(e)))))
    | greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))
    | ~ subpopulations(first_movers,efficient_producers,e,t_nn_1(e,to(e))) ),
    inference(resolution,[status(thm)],[195199328,192322928]),
    [] ).

cnf(193563992,plain,
    ( greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))
    | subpopulations(first_movers,efficient_producers,e,t(t2(e,to(e)))) ),
    inference(resolution,[status(thm)],[193246576,168519032]),
    [] ).

cnf(168223832,plain,
    ( subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))
    | ~ in_environment(A,B)
    | ~ stable(A)
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,E)
    | ~ greater_or_equal(E,t2(A,B))
    | greater(zero,growth_rate(first_movers,E)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),
    [] ).

cnf(193558608,plain,
    ( greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))
    | greater_or_equal(t(t2(e,to(e))),t2(e,to(e))) ),
    inference(resolution,[status(thm)],[193246576,168509736]),
    [] ).

cnf(196979744,plain,
    ( greater(zero,growth_rate(first_movers,t(t2(e,to(e)))))
    | greater(zero,growth_rate(first_movers,t_nn_1(e,to(e)))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[195847512,193563992,168474056,192252536,168459784,168223832,193558608]),
    [] ).

cnf(168494536,plain,
    ( ~ greater(B,appear(efficient_producers,e))
    | ~ greater(zero,growth_rate(first_movers,t(B))) ),
    inference(rewrite,[status(thm)],[prove_l10]),
    [] ).

cnf(194079072,plain,
    ~ greater(zero,growth_rate(first_movers,t(t2(e,to(e))))),
    inference(resolution,[status(thm)],[193959928,168494536]),
    [] ).

cnf(168198144,plain,
    ( ~ greater(zero,growth_rate(first_movers,t_nn_1(A,B)))
    | ~ in_environment(A,B)
    | ~ stable(A)
    | ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,E)
    | ~ greater_or_equal(E,t2(A,B))
    | greater(zero,growth_rate(first_movers,E)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),
    [] ).

cnf(192522352,plain,
    ( ~ greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))
    | ~ subpopulations(first_movers,efficient_producers,e,C)
    | ~ greater_or_equal(C,t2(e,to(e)))
    | greater(zero,growth_rate(first_movers,C)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168459784,168198144,192252536]),
    [] ).

cnf(194074088,plain,
    subpopulations(first_movers,efficient_producers,e,t(t2(e,to(e)))),
    inference(resolution,[status(thm)],[193959928,168519032]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[196979744,194079072,194069480,192522352,194074088]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_l10,plain,(((environment(e)|subpopulations(first_movers,efficient_producers,e,t(B)))&(stable(e)|subpopulations(first_movers,efficient_producers,e,t(B)))&(~greater(B,appear(efficient_producers,e))|subpopulations(first_movers,efficient_producers,e,t(B)))&(environment(e)|greater_or_equal(t(B),B))&(stable(e)|greater_or_equal(t(B),B))&(~greater(B,appear(efficient_producers,e))|greater_or_equal(t(B),B))&(environment(e)|~greater(zero,growth_rate(first_movers,t(B))))&(stable(e)|~greater(zero,growth_rate(first_movers,t(B))))&(~greater(B,appear(efficient_producers,e))|~greater(zero,growth_rate(first_movers,t(B))))&(environment(e)|environment(e))&(stable(e)|environment(e))&(~greater(B,appear(efficient_producers,e))|environment(e))&(environment(e)|stable(e))&(stable(e)|stable(e))&(~greater(B,appear(efficient_producers,e))|stable(e)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028+1.tptp',unknown),[]).
% 
% cnf(168474056,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_l10]),[]).
% 
% cnf(168459784,plain,(stable(e)),inference(rewrite,[status(thm)],[prove_l10]),[]).
% 
% fof(mp_first_movers_negative_growth,plain,(((subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))|~in_environment(A,B)|~stable(A)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater_or_equal(E,t2(A,B))|greater(zero,growth_rate(first_movers,E)))&(greater_or_equal(t_nn_1(A,B),B)|~in_environment(A,B)|~stable(A)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater_or_equal(E,t2(A,B))|greater(zero,growth_rate(first_movers,E)))&(~greater(zero,growth_rate(first_movers,t_nn_1(A,B)))|~in_environment(A,B)|~stable(A)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater_or_equal(E,t2(A,B))|greater(zero,growth_rate(first_movers,E)))&(subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))|~in_environment(A,B)|~stable(A)|~environment(A)|greater(t2(A,B),appear(efficient_producers,A)))&(greater_or_equal(t_nn_1(A,B),B)|~in_environment(A,B)|~stable(A)|~environment(A)|greater(t2(A,B),appear(efficient_producers,A)))&(~greater(zero,growth_rate(first_movers,t_nn_1(A,B)))|~in_environment(A,B)|~stable(A)|~environment(A)|greater(t2(A,B),appear(efficient_producers,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028+1.tptp',unknown),[]).
% 
% cnf(168143864,plain,(greater_or_equal(t_nn_1(A,B),B)|~in_environment(A,B)|~stable(A)|~environment(A)|greater(t2(A,B),appear(efficient_producers,A))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),[]).
% 
% fof(l11,plain,(((greater(zero,growth_rate(first_movers,C))|~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|~environment(A)|~stable(A))&(greater(growth_rate(efficient_producers,C),zero)|~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|~environment(A)|~stable(A))&(in_environment(A,to(A))|~environment(A)|~stable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028+1.tptp',unknown),[]).
% 
% cnf(168231800,plain,(in_environment(A,to(A))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l11]),[]).
% 
% cnf(192252536,plain,(in_environment(e,to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168231800,168459784]),[]).
% 
% cnf(192444408,plain,(greater_or_equal(t_nn_1(e,to(e)),to(e))|greater(t2(e,to(e)),appear(efficient_producers,e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168459784,168143864,192252536]),[]).
% 
% cnf(168519032,plain,(~greater(B,appear(efficient_producers,e))|subpopulations(first_movers,efficient_producers,e,t(B))),inference(rewrite,[status(thm)],[prove_l10]),[]).
% 
% cnf(192641936,plain,(greater_or_equal(t_nn_1(e,to(e)),to(e))|subpopulations(first_movers,efficient_producers,e,t(t2(e,to(e))))),inference(resolution,[status(thm)],[192444408,168519032]),[]).
% 
% cnf(168210968,plain,(greater_or_equal(t_nn_1(A,B),B)|~in_environment(A,B)|~stable(A)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater_or_equal(E,t2(A,B))|greater(zero,growth_rate(first_movers,E))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),[]).
% 
% cnf(168127344,plain,(~greater(zero,growth_rate(first_movers,t_nn_1(A,B)))|~in_environment(A,B)|~stable(A)|~environment(A)|greater(t2(A,B),appear(efficient_producers,A))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),[]).
% 
% cnf(168155736,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))|~in_environment(A,B)|~stable(A)|~environment(A)|greater(t2(A,B),appear(efficient_producers,A))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),[]).
% 
% cnf(192460072,plain,(subpopulations(first_movers,efficient_producers,e,t_nn_1(e,to(e)))|greater(t2(e,to(e)),appear(efficient_producers,e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168459784,168155736,192252536]),[]).
% 
% cnf(168280304,plain,(greater(zero,growth_rate(first_movers,C))|~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l11]),[]).
% 
% cnf(193246576,plain,(greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))|greater(t2(e,to(e)),appear(efficient_producers,e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192460072,168474056,168459784,168280304,192444408]),[]).
% 
% cnf(193959928,plain,(greater(t2(e,to(e)),appear(efficient_producers,e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,192252536,168459784,168127344,193246576]),[]).
% 
% cnf(168509736,plain,(~greater(B,appear(efficient_producers,e))|greater_or_equal(t(B),B)),inference(rewrite,[status(thm)],[prove_l10]),[]).
% 
% cnf(194069480,plain,(greater_or_equal(t(t2(e,to(e))),t2(e,to(e)))),inference(resolution,[status(thm)],[193959928,168509736]),[]).
% 
% cnf(195199328,plain,(greater_or_equal(t_nn_1(e,to(e)),to(e))|greater(zero,growth_rate(first_movers,t(t2(e,to(e)))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192641936,168474056,192252536,168459784,168210968,194069480]),[]).
% 
% cnf(192322928,plain,(greater(zero,growth_rate(first_movers,B))|~subpopulations(first_movers,efficient_producers,e,B)|~greater_or_equal(B,to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168280304,168459784]),[]).
% 
% cnf(195847512,plain,(greater(zero,growth_rate(first_movers,t(t2(e,to(e)))))|greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))|~subpopulations(first_movers,efficient_producers,e,t_nn_1(e,to(e)))),inference(resolution,[status(thm)],[195199328,192322928]),[]).
% 
% cnf(193563992,plain,(greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))|subpopulations(first_movers,efficient_producers,e,t(t2(e,to(e))))),inference(resolution,[status(thm)],[193246576,168519032]),[]).
% 
% cnf(168223832,plain,(subpopulations(first_movers,efficient_producers,A,t_nn_1(A,B))|~in_environment(A,B)|~stable(A)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater_or_equal(E,t2(A,B))|greater(zero,growth_rate(first_movers,E))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),[]).
% 
% cnf(193558608,plain,(greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))|greater_or_equal(t(t2(e,to(e))),t2(e,to(e)))),inference(resolution,[status(thm)],[193246576,168509736]),[]).
% 
% cnf(196979744,plain,(greater(zero,growth_rate(first_movers,t(t2(e,to(e)))))|greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195847512,193563992,168474056,192252536,168459784,168223832,193558608]),[]).
% 
% cnf(168494536,plain,(~greater(B,appear(efficient_producers,e))|~greater(zero,growth_rate(first_movers,t(B)))),inference(rewrite,[status(thm)],[prove_l10]),[]).
% 
% cnf(194079072,plain,(~greater(zero,growth_rate(first_movers,t(t2(e,to(e)))))),inference(resolution,[status(thm)],[193959928,168494536]),[]).
% 
% cnf(168198144,plain,(~greater(zero,growth_rate(first_movers,t_nn_1(A,B)))|~in_environment(A,B)|~stable(A)|~environment(A)|~subpopulations(first_movers,efficient_producers,A,E)|~greater_or_equal(E,t2(A,B))|greater(zero,growth_rate(first_movers,E))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth]),[]).
% 
% cnf(192522352,plain,(~greater(zero,growth_rate(first_movers,t_nn_1(e,to(e))))|~subpopulations(first_movers,efficient_producers,e,C)|~greater_or_equal(C,t2(e,to(e)))|greater(zero,growth_rate(first_movers,C))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168474056,168459784,168198144,192252536]),[]).
% 
% cnf(194074088,plain,(subpopulations(first_movers,efficient_producers,e,t(t2(e,to(e))))),inference(resolution,[status(thm)],[193959928,168519032]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[196979744,194079072,194069480,192522352,194074088]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------