TSTP Solution File: MGT020-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT020-1 : TPTP v3.4.2. Released v2.4.0.
% 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 14:00:36 EDT 2009

% Result   : Unsatisfiable 0.6s
% Output   : Refutation 0.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   43 (  14 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  129 (  63   ~;  66   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   47 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a8_31,plain,
    ! [A] :
      ( ~ environment(A)
      | greater(disbanding_rate(first_movers,initial_fm_ep(A)),disbanding_rate(efficient_producers,initial_fm_ep(A))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163267488,plain,
    ( ~ environment(A)
    | greater(disbanding_rate(first_movers,initial_fm_ep(A)),disbanding_rate(efficient_producers,initial_fm_ep(A))) ),
    inference(rewrite,[status(thm)],[a8_31]),
    [] ).

fof(prove_l2_33,plain,
    environment(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163286768,plain,
    environment(sk1),
    inference(rewrite,[status(thm)],[prove_l2_33]),
    [] ).

cnf(176483536,plain,
    greater(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1))),
    inference(resolution,[status(thm)],[163267488,163286768]),
    [] ).

fof(prove_l2_35,plain,
    ~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163296056,plain,
    ~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
    inference(rewrite,[status(thm)],[prove_l2_35]),
    [] ).

fof(mp_positive_function_difference_25,plain,
    ! [A,B,C,D] :
      ( ~ environment(A)
      | ~ greater_or_equal(B,C)
      | ~ greater_or_equal(D,B)
      | ~ subpopulations(first_movers,efficient_producers,A,D)
      | ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))
      | decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
      | greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163198536,plain,
    ( ~ environment(A)
    | ~ greater_or_equal(B,C)
    | ~ greater_or_equal(D,B)
    | ~ subpopulations(first_movers,efficient_producers,A,D)
    | ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))
    | decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
    | greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D)) ),
    inference(rewrite,[status(thm)],[mp_positive_function_difference_25]),
    [] ).

fof(mp_earliest_time_point_24,plain,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | greater_or_equal(B,initial_fm_ep(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163177240,plain,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | greater_or_equal(B,initial_fm_ep(A)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_point_24]),
    [] ).

fof(prove_l2_34,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163291760,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    inference(rewrite,[status(thm)],[prove_l2_34]),
    [] ).

cnf(176600984,plain,
    greater_or_equal(sk2,initial_fm_ep(sk1)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,163177240,163291760]),
    [] ).

cnf(176816952,plain,
    ( ~ environment(A)
    | ~ greater_or_equal(initial_fm_ep(sk1),B)
    | ~ subpopulations(first_movers,efficient_producers,A,sk2)
    | ~ greater(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))
    | decreases(difference(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1)))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163296056,163198536,176600984]),
    [] ).

cnf(176847384,plain,
    ( ~ greater_or_equal(initial_fm_ep(sk1),A)
    | ~ greater(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A))
    | decreases(difference(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1)))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,176816952,163291760]),
    [] ).

fof(mp_greater_or_equal_30,plain,
    ! [A,B] :
      ( ~ greater_or_equal(A,B)
      | greater(A,B)
      | $equal(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163262264,plain,
    ( ~ greater_or_equal(A,B)
    | greater(A,B)
    | $equal(B,A) ),
    inference(rewrite,[status(thm)],[mp_greater_or_equal_30]),
    [] ).

cnf(176710792,plain,
    ( greater(sk2,initial_fm_ep(sk1))
    | $equal(initial_fm_ep(sk1),sk2) ),
    inference(resolution,[status(thm)],[163262264,176600984]),
    [] ).

cnf(177341152,plain,
    ( greater(sk2,initial_fm_ep(sk1))
    | greater_or_equal(initial_fm_ep(sk1),initial_fm_ep(sk1)) ),
    inference(paramodulation,[status(thm)],[176710792,176600984,theory(equality)]),
    [] ).

fof(mp_initial_time_27,plain,
    ! [A] :
      ( ~ environment(A)
      | greater_or_equal(initial_fm_ep(A),start_time(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163212256,plain,
    ( ~ environment(A)
    | greater_or_equal(initial_fm_ep(A),start_time(A)) ),
    inference(rewrite,[status(thm)],[mp_initial_time_27]),
    [] ).

fof(mp_times_in_order_28,plain,
    ! [A,B,C] :
      ( ~ environment(A)
      | ~ greater_or_equal(B,start_time(A))
      | ~ greater(C,B)
      | ~ in_environment(A,C)
      | in_environment(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163238088,plain,
    ( ~ environment(A)
    | ~ greater_or_equal(B,start_time(A))
    | ~ greater(C,B)
    | ~ in_environment(A,C)
    | in_environment(A,B) ),
    inference(rewrite,[status(thm)],[mp_times_in_order_28]),
    [] ).

fof(mp_earliest_time_point_23,plain,
    ! [A] :
      ( ~ environment(A)
      | ~ in_environment(A,initial_fm_ep(A))
      | subpopulations(first_movers,efficient_producers,A,initial_fm_ep(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163159680,plain,
    ( ~ environment(A)
    | ~ in_environment(A,initial_fm_ep(A))
    | subpopulations(first_movers,efficient_producers,A,initial_fm_ep(A)) ),
    inference(rewrite,[status(thm)],[mp_earliest_time_point_23]),
    [] ).

cnf(184515448,plain,
    ( ~ environment(A)
    | ~ greater(B,initial_fm_ep(A))
    | ~ in_environment(A,B)
    | subpopulations(first_movers,efficient_producers,A,initial_fm_ep(A)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163212256,163238088,163159680]),
    [] ).

cnf(176497392,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk1,A)
    | greater_or_equal(A,initial_fm_ep(sk1)) ),
    inference(resolution,[status(thm)],[163177240,163286768]),
    [] ).

cnf(184551808,plain,
    ( ~ greater(A,initial_fm_ep(sk1))
    | ~ in_environment(sk1,A)
    | greater_or_equal(initial_fm_ep(sk1),initial_fm_ep(sk1)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,184515448,176497392]),
    [] ).

fof(mp_time_point_occurs_26,plain,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | in_environment(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163207504,plain,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | in_environment(A,B) ),
    inference(rewrite,[status(thm)],[mp_time_point_occurs_26]),
    [] ).

cnf(176588784,plain,
    in_environment(sk1,sk2),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,163207504,163291760]),
    [] ).

cnf(184564856,plain,
    greater_or_equal(initial_fm_ep(sk1),initial_fm_ep(sk1)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[177341152,184551808,176588784]),
    [] ).

cnf(184726848,plain,
    decreases(difference(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1)))),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[176483536,176847384,184564856]),
    [] ).

cnf(177322720,plain,
    ( greater(sk2,initial_fm_ep(sk1))
    | in_environment(sk1,initial_fm_ep(sk1)) ),
    inference(paramodulation,[status(thm)],[176710792,176588784,theory(equality)]),
    [] ).

cnf(176550712,plain,
    ( ~ greater_or_equal(A,start_time(sk1))
    | ~ greater(B,A)
    | ~ in_environment(sk1,B)
    | in_environment(sk1,A) ),
    inference(resolution,[status(thm)],[163238088,163286768]),
    [] ).

cnf(182973352,plain,
    ( ~ greater(A,initial_fm_ep(sk1))
    | ~ in_environment(sk1,A)
    | in_environment(sk1,initial_fm_ep(sk1)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,176550712,163212256]),
    [] ).

cnf(183357856,plain,
    ( ~ greater(A,initial_fm_ep(sk1))
    | in_environment(sk1,initial_fm_ep(sk1))
    | ~ subpopulations(first_movers,efficient_producers,sk1,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,182973352,163207504]),
    [] ).

cnf(183362688,plain,
    in_environment(sk1,initial_fm_ep(sk1)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[177322720,183357856,163291760]),
    [] ).

cnf(184505168,plain,
    subpopulations(first_movers,efficient_producers,sk1,initial_fm_ep(sk1)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,183362688,163159680]),
    [] ).

fof(l3_22,plain,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),
    [] ).

cnf(163152480,plain,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
    inference(rewrite,[status(thm)],[l3_22]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[184726848,163286768,184505168,163152480]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(a8_31,plain,(~environment(A)|greater(disbanding_rate(first_movers,initial_fm_ep(A)),disbanding_rate(efficient_producers,initial_fm_ep(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163267488,plain,(~environment(A)|greater(disbanding_rate(first_movers,initial_fm_ep(A)),disbanding_rate(efficient_producers,initial_fm_ep(A)))),inference(rewrite,[status(thm)],[a8_31]),[]).
% 
% fof(prove_l2_33,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163286768,plain,(environment(sk1)),inference(rewrite,[status(thm)],[prove_l2_33]),[]).
% 
% cnf(176483536,plain,(greater(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1)))),inference(resolution,[status(thm)],[163267488,163286768]),[]).
% 
% fof(prove_l2_35,plain,(~greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163296056,plain,(~greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),inference(rewrite,[status(thm)],[prove_l2_35]),[]).
% 
% fof(mp_positive_function_difference_25,plain,(~environment(A)|~greater_or_equal(B,C)|~greater_or_equal(D,B)|~subpopulations(first_movers,efficient_producers,A,D)|~greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))|decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163198536,plain,(~environment(A)|~greater_or_equal(B,C)|~greater_or_equal(D,B)|~subpopulations(first_movers,efficient_producers,A,D)|~greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))|decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D))),inference(rewrite,[status(thm)],[mp_positive_function_difference_25]),[]).
% 
% fof(mp_earliest_time_point_24,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater_or_equal(B,initial_fm_ep(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163177240,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater_or_equal(B,initial_fm_ep(A))),inference(rewrite,[status(thm)],[mp_earliest_time_point_24]),[]).
% 
% fof(prove_l2_34,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163291760,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_l2_34]),[]).
% 
% cnf(176600984,plain,(greater_or_equal(sk2,initial_fm_ep(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,163177240,163291760]),[]).
% 
% cnf(176816952,plain,(~environment(A)|~greater_or_equal(initial_fm_ep(sk1),B)|~subpopulations(first_movers,efficient_producers,A,sk2)|~greater(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))|decreases(difference(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163296056,163198536,176600984]),[]).
% 
% cnf(176847384,plain,(~greater_or_equal(initial_fm_ep(sk1),A)|~greater(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A))|decreases(difference(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,176816952,163291760]),[]).
% 
% fof(mp_greater_or_equal_30,plain,(~greater_or_equal(A,B)|greater(A,B)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163262264,plain,(~greater_or_equal(A,B)|greater(A,B)|$equal(B,A)),inference(rewrite,[status(thm)],[mp_greater_or_equal_30]),[]).
% 
% cnf(176710792,plain,(greater(sk2,initial_fm_ep(sk1))|$equal(initial_fm_ep(sk1),sk2)),inference(resolution,[status(thm)],[163262264,176600984]),[]).
% 
% cnf(177341152,plain,(greater(sk2,initial_fm_ep(sk1))|greater_or_equal(initial_fm_ep(sk1),initial_fm_ep(sk1))),inference(paramodulation,[status(thm)],[176710792,176600984,theory(equality)]),[]).
% 
% fof(mp_initial_time_27,plain,(~environment(A)|greater_or_equal(initial_fm_ep(A),start_time(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163212256,plain,(~environment(A)|greater_or_equal(initial_fm_ep(A),start_time(A))),inference(rewrite,[status(thm)],[mp_initial_time_27]),[]).
% 
% fof(mp_times_in_order_28,plain,(~environment(A)|~greater_or_equal(B,start_time(A))|~greater(C,B)|~in_environment(A,C)|in_environment(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163238088,plain,(~environment(A)|~greater_or_equal(B,start_time(A))|~greater(C,B)|~in_environment(A,C)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_times_in_order_28]),[]).
% 
% fof(mp_earliest_time_point_23,plain,(~environment(A)|~in_environment(A,initial_fm_ep(A))|subpopulations(first_movers,efficient_producers,A,initial_fm_ep(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163159680,plain,(~environment(A)|~in_environment(A,initial_fm_ep(A))|subpopulations(first_movers,efficient_producers,A,initial_fm_ep(A))),inference(rewrite,[status(thm)],[mp_earliest_time_point_23]),[]).
% 
% cnf(184515448,plain,(~environment(A)|~greater(B,initial_fm_ep(A))|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,initial_fm_ep(A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163212256,163238088,163159680]),[]).
% 
% cnf(176497392,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|greater_or_equal(A,initial_fm_ep(sk1))),inference(resolution,[status(thm)],[163177240,163286768]),[]).
% 
% cnf(184551808,plain,(~greater(A,initial_fm_ep(sk1))|~in_environment(sk1,A)|greater_or_equal(initial_fm_ep(sk1),initial_fm_ep(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,184515448,176497392]),[]).
% 
% fof(mp_time_point_occurs_26,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163207504,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_occurs_26]),[]).
% 
% cnf(176588784,plain,(in_environment(sk1,sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,163207504,163291760]),[]).
% 
% cnf(184564856,plain,(greater_or_equal(initial_fm_ep(sk1),initial_fm_ep(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177341152,184551808,176588784]),[]).
% 
% cnf(184726848,plain,(decreases(difference(disbanding_rate(first_movers,initial_fm_ep(sk1)),disbanding_rate(efficient_producers,initial_fm_ep(sk1))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176483536,176847384,184564856]),[]).
% 
% cnf(177322720,plain,(greater(sk2,initial_fm_ep(sk1))|in_environment(sk1,initial_fm_ep(sk1))),inference(paramodulation,[status(thm)],[176710792,176588784,theory(equality)]),[]).
% 
% cnf(176550712,plain,(~greater_or_equal(A,start_time(sk1))|~greater(B,A)|~in_environment(sk1,B)|in_environment(sk1,A)),inference(resolution,[status(thm)],[163238088,163286768]),[]).
% 
% cnf(182973352,plain,(~greater(A,initial_fm_ep(sk1))|~in_environment(sk1,A)|in_environment(sk1,initial_fm_ep(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,176550712,163212256]),[]).
% 
% cnf(183357856,plain,(~greater(A,initial_fm_ep(sk1))|in_environment(sk1,initial_fm_ep(sk1))|~subpopulations(first_movers,efficient_producers,sk1,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,182973352,163207504]),[]).
% 
% cnf(183362688,plain,(in_environment(sk1,initial_fm_ep(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177322720,183357856,163291760]),[]).
% 
% cnf(184505168,plain,(subpopulations(first_movers,efficient_producers,sk1,initial_fm_ep(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163286768,183362688,163159680]),[]).
% 
% fof(l3_22,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT020-1.tptp',unknown),[]).
% 
% cnf(163152480,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),inference(rewrite,[status(thm)],[l3_22]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[184726848,163286768,184505168,163152480]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------