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 v2.4.0.
% 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   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   44 (  10 unt;   0 def)
%            Number of atoms       :  143 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  185 (  86   ~;  99   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   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   :   50 (   0 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l10_11,plain,
    stable(sk4),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173246176,plain,
    stable(sk4),
    inference(rewrite,[status(thm)],[prove_l10_11]),
    [] ).

fof(l11_7,plain,
    ! [A] :
      ( ~ environment(A)
      | ~ stable(A)
      | in_environment(A,sk3(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173198744,plain,
    ( ~ environment(A)
    | ~ stable(A)
    | in_environment(A,sk3(A)) ),
    inference(rewrite,[status(thm)],[l11_7]),
    [] ).

fof(prove_l10_10,plain,
    environment(sk4),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173241128,plain,
    environment(sk4),
    inference(rewrite,[status(thm)],[prove_l10_10]),
    [] ).

cnf(191698928,plain,
    in_environment(sk4,sk3(sk4)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173246176,173198744,173241128]),
    [] ).

fof(mp_first_movers_negative_growth_1,plain,
    ! [A,B] :
      ( ~ 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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173097408,plain,
    ( ~ 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(rewrite,[status(thm)],[mp_first_movers_negative_growth_1]),
    [] ).

fof(prove_l10_12,plain,
    ! [A] :
      ( ~ greater(A,appear(efficient_producers,sk4))
      | subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173253096,plain,
    ( ~ greater(A,appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ),
    inference(rewrite,[status(thm)],[prove_l10_12]),
    [] ).

cnf(192029520,plain,
    ( ~ in_environment(sk4,A)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173097408,173253096]),
    [] ).

fof(mp_first_movers_negative_growth_3,plain,
    ! [A,B,C] :
      ( ~ 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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173148912,plain,
    ( ~ 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(rewrite,[status(thm)],[mp_first_movers_negative_growth_3]),
    [] ).

cnf(192002552,plain,
    ( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173097408,191698928]),
    [] ).

fof(l11_9,plain,
    ! [A,B] :
      ( ~ 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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173236728,plain,
    ( ~ 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(rewrite,[status(thm)],[l11_9]),
    [] ).

fof(mp_first_movers_negative_growth_2,plain,
    ! [A,B] :
      ( ~ environment(A)
      | ~ stable(A)
      | ~ in_environment(A,B)
      | greater_or_equal(sk1(B,A),B)
      | greater(sk2(A),appear(efficient_producers,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173113848,plain,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | greater_or_equal(sk1(B,A),B)
    | greater(sk2(A),appear(efficient_producers,A)) ),
    inference(rewrite,[status(thm)],[mp_first_movers_negative_growth_2]),
    [] ).

cnf(191878336,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173113848,191698928]),
    [] ).

cnf(192740384,plain,
    ( greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[192002552,173241128,173246176,173236728,191878336]),
    [] ).

fof(mp_first_movers_negative_growth_5,plain,
    ! [A,B] :
      ( ~ 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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173180856,plain,
    ( ~ 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(rewrite,[status(thm)],[mp_first_movers_negative_growth_5]),
    [] ).

cnf(193434864,plain,
    greater(sk2(sk4),appear(efficient_producers,sk4)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[192740384,173241128,173246176,173180856,191698928]),
    [] ).

fof(prove_l10_13,plain,
    ! [A] :
      ( ~ greater(A,appear(efficient_producers,sk4))
      | greater_or_equal(sk5(A),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173262480,plain,
    ( ~ greater(A,appear(efficient_producers,sk4))
    | greater_or_equal(sk5(A),A) ),
    inference(rewrite,[status(thm)],[prove_l10_13]),
    [] ).

cnf(193501552,plain,
    greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
    inference(resolution,[status(thm)],[193434864,173262480]),
    [] ).

cnf(195479072,plain,
    ( ~ in_environment(sk4,A)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[192029520,173241128,173246176,173148912,193501552]),
    [] ).

cnf(191926984,plain,
    ( ~ in_environment(sk4,A)
    | greater_or_equal(sk1(A,sk4),A)
    | subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173113848,173253096]),
    [] ).

fof(mp_first_movers_negative_growth_4,plain,
    ! [A,B,C] :
      ( ~ 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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173161672,plain,
    ( ~ 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(rewrite,[status(thm)],[mp_first_movers_negative_growth_4]),
    [] ).

cnf(194260648,plain,
    ( ~ in_environment(sk4,A)
    | greater_or_equal(sk1(A,sk4),A)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[191926984,173241128,173246176,173161672,193501552]),
    [] ).

fof(prove_l10_14,plain,
    ! [A] :
      ( ~ greater(A,appear(efficient_producers,sk4))
      | ~ greater(zero,growth_rate(first_movers,sk5(A))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173267600,plain,
    ( ~ greater(A,appear(efficient_producers,sk4))
    | ~ greater(zero,growth_rate(first_movers,sk5(A))) ),
    inference(rewrite,[status(thm)],[prove_l10_14]),
    [] ).

cnf(193511432,plain,
    ~ greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
    inference(resolution,[status(thm)],[193434864,173267600]),
    [] ).

cnf(194545440,plain,
    ( ~ in_environment(sk4,A)
    | greater_or_equal(sk1(A,sk4),A) ),
    inference(resolution,[status(thm)],[194260648,193511432]),
    [] ).

cnf(191784912,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk4,A)
    | ~ greater_or_equal(A,sk3(sk4))
    | greater(zero,growth_rate(first_movers,A)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173246176,173236728,173241128]),
    [] ).

cnf(194687408,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[191698928,194545440,191784912]),
    [] ).

cnf(195733480,plain,
    ( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[191698928,195479072,194687408]),
    [] ).

cnf(193506416,plain,
    subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
    inference(resolution,[status(thm)],[193434864,173253096]),
    [] ).

fof(mp_first_movers_negative_growth_6,plain,
    ! [A,B,C] :
      ( ~ 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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),
    [] ).

cnf(173193928,plain,
    ( ~ 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(rewrite,[status(thm)],[mp_first_movers_negative_growth_6]),
    [] ).

cnf(195816032,plain,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ greater(zero,growth_rate(first_movers,sk1(sk3(A),A)))
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ greater_or_equal(B,sk2(A))
    | greater(zero,growth_rate(first_movers,B)) ),
    inference(resolution,[status(thm)],[173193928,173198744]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[195733480,173241128,193511432,173246176,193506416,195816032,193501552]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_l10_11,plain,(stable(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173246176,plain,(stable(sk4)),inference(rewrite,[status(thm)],[prove_l10_11]),[]).
% 
% fof(l11_7,plain,(~environment(A)|~stable(A)|in_environment(A,sk3(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173198744,plain,(~environment(A)|~stable(A)|in_environment(A,sk3(A))),inference(rewrite,[status(thm)],[l11_7]),[]).
% 
% fof(prove_l10_10,plain,(environment(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173241128,plain,(environment(sk4)),inference(rewrite,[status(thm)],[prove_l10_10]),[]).
% 
% cnf(191698928,plain,(in_environment(sk4,sk3(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173246176,173198744,173241128]),[]).
% 
% fof(mp_first_movers_negative_growth_1,plain,(~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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173097408,plain,(~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(rewrite,[status(thm)],[mp_first_movers_negative_growth_1]),[]).
% 
% fof(prove_l10_12,plain,(~greater(A,appear(efficient_producers,sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173253096,plain,(~greater(A,appear(efficient_producers,sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(A))),inference(rewrite,[status(thm)],[prove_l10_12]),[]).
% 
% cnf(192029520,plain,(~in_environment(sk4,A)|subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173097408,173253096]),[]).
% 
% fof(mp_first_movers_negative_growth_3,plain,(~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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173148912,plain,(~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(rewrite,[status(thm)],[mp_first_movers_negative_growth_3]),[]).
% 
% cnf(192002552,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(sk2(sk4),appear(efficient_producers,sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173097408,191698928]),[]).
% 
% fof(l11_9,plain,(~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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173236728,plain,(~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(rewrite,[status(thm)],[l11_9]),[]).
% 
% fof(mp_first_movers_negative_growth_2,plain,(~environment(A)|~stable(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|greater(sk2(A),appear(efficient_producers,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173113848,plain,(~environment(A)|~stable(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|greater(sk2(A),appear(efficient_producers,A))),inference(rewrite,[status(thm)],[mp_first_movers_negative_growth_2]),[]).
% 
% cnf(191878336,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(sk2(sk4),appear(efficient_producers,sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173113848,191698928]),[]).
% 
% cnf(192740384,plain,(greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(sk2(sk4),appear(efficient_producers,sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192002552,173241128,173246176,173236728,191878336]),[]).
% 
% fof(mp_first_movers_negative_growth_5,plain,(~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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173180856,plain,(~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(rewrite,[status(thm)],[mp_first_movers_negative_growth_5]),[]).
% 
% cnf(193434864,plain,(greater(sk2(sk4),appear(efficient_producers,sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192740384,173241128,173246176,173180856,191698928]),[]).
% 
% fof(prove_l10_13,plain,(~greater(A,appear(efficient_producers,sk4))|greater_or_equal(sk5(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173262480,plain,(~greater(A,appear(efficient_producers,sk4))|greater_or_equal(sk5(A),A)),inference(rewrite,[status(thm)],[prove_l10_13]),[]).
% 
% cnf(193501552,plain,(greater_or_equal(sk5(sk2(sk4)),sk2(sk4))),inference(resolution,[status(thm)],[193434864,173262480]),[]).
% 
% cnf(195479072,plain,(~in_environment(sk4,A)|subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))|greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192029520,173241128,173246176,173148912,193501552]),[]).
% 
% cnf(191926984,plain,(~in_environment(sk4,A)|greater_or_equal(sk1(A,sk4),A)|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173241128,173246176,173113848,173253096]),[]).
% 
% fof(mp_first_movers_negative_growth_4,plain,(~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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173161672,plain,(~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(rewrite,[status(thm)],[mp_first_movers_negative_growth_4]),[]).
% 
% cnf(194260648,plain,(~in_environment(sk4,A)|greater_or_equal(sk1(A,sk4),A)|greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[191926984,173241128,173246176,173161672,193501552]),[]).
% 
% fof(prove_l10_14,plain,(~greater(A,appear(efficient_producers,sk4))|~greater(zero,growth_rate(first_movers,sk5(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173267600,plain,(~greater(A,appear(efficient_producers,sk4))|~greater(zero,growth_rate(first_movers,sk5(A)))),inference(rewrite,[status(thm)],[prove_l10_14]),[]).
% 
% cnf(193511432,plain,(~greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))),inference(resolution,[status(thm)],[193434864,173267600]),[]).
% 
% cnf(194545440,plain,(~in_environment(sk4,A)|greater_or_equal(sk1(A,sk4),A)),inference(resolution,[status(thm)],[194260648,193511432]),[]).
% 
% cnf(191784912,plain,(~subpopulations(first_movers,efficient_producers,sk4,A)|~greater_or_equal(A,sk3(sk4))|greater(zero,growth_rate(first_movers,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173246176,173236728,173241128]),[]).
% 
% cnf(194687408,plain,(~subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[191698928,194545440,191784912]),[]).
% 
% cnf(195733480,plain,(greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))|greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[191698928,195479072,194687408]),[]).
% 
% cnf(193506416,plain,(subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(resolution,[status(thm)],[193434864,173253096]),[]).
% 
% fof(mp_first_movers_negative_growth_6,plain,(~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('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT028-1.tptp',unknown),[]).
% 
% cnf(173193928,plain,(~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(rewrite,[status(thm)],[mp_first_movers_negative_growth_6]),[]).
% 
% cnf(195816032,plain,(~environment(A)|~stable(A)|~greater(zero,growth_rate(first_movers,sk1(sk3(A),A)))|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk2(A))|greater(zero,growth_rate(first_movers,B))),inference(resolution,[status(thm)],[173193928,173198744]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[195733480,173241128,193511432,173246176,193506416,195816032,193501552]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------