TSTP Solution File: MGT036-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 21:57:48 EDT 2022

% Result   : Unsatisfiable 0.44s 1.09s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Thu Jun  9 10:19:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/1.09  *** allocated 10000 integers for termspace/termends
% 0.44/1.09  *** allocated 10000 integers for clauses
% 0.44/1.09  *** allocated 10000 integers for justifications
% 0.44/1.09  Bliksem 1.12
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Automatic Strategy Selection
% 0.44/1.09  
% 0.44/1.09  Clauses:
% 0.44/1.09  [
% 0.44/1.09     [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    subpopulations( Z, Y, X, T ) ],
% 0.44/1.09     [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), ~( 
% 0.44/1.09    'greater_or_equal'( 'growth_rate'( Z, T ), zero ) ), ~( greater( zero, 
% 0.44/1.09    'growth_rate'( Y, T ) ) ), outcompetes( Z, Y, T ) ],
% 0.44/1.09     [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), ~( 
% 0.44/1.09    outcompetes( Z, Y, T ) ), 'greater_or_equal'( 'growth_rate'( Z, T ), zero
% 0.44/1.09     ) ],
% 0.44/1.09     [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), ~( 
% 0.44/1.09    outcompetes( Z, Y, T ) ), greater( zero, 'growth_rate'( Y, T ) ) ],
% 0.44/1.09     [ environment( sk1 ) ],
% 0.44/1.09     [ subpopulations( 'first_movers', 'efficient_producers', sk1, sk2 ) ]
% 0.44/1.09    ,
% 0.44/1.09     [ 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 ), zero ) ]
% 0.44/1.09    ,
% 0.44/1.09     [ greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) ) ],
% 0.44/1.09     [ ~( environment( X ) ), ~( subpopulations( 'first_movers', 
% 0.44/1.09    'efficient_producers', X, Y ) ), ~( outcompetes( 'first_movers', 
% 0.44/1.09    'efficient_producers', Y ) ) ]
% 0.44/1.09  ] .
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  percentage equality = 0.000000, percentage horn = 1.000000
% 0.44/1.09  This is a near-Horn, non-equality  problem
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Options Used:
% 0.44/1.09  
% 0.44/1.09  useres =            1
% 0.44/1.09  useparamod =        0
% 0.44/1.09  useeqrefl =         0
% 0.44/1.09  useeqfact =         0
% 0.44/1.09  usefactor =         1
% 0.44/1.09  usesimpsplitting =  0
% 0.44/1.09  usesimpdemod =      0
% 0.44/1.09  usesimpres =        4
% 0.44/1.09  
% 0.44/1.09  resimpinuse      =  1000
% 0.44/1.09  resimpclauses =     20000
% 0.44/1.09  substype =          standard
% 0.44/1.09  backwardsubs =      1
% 0.44/1.09  selectoldest =      5
% 0.44/1.09  
% 0.44/1.09  litorderings [0] =  split
% 0.44/1.09  litorderings [1] =  liftord
% 0.44/1.09  
% 0.44/1.09  termordering =      none
% 0.44/1.09  
% 0.44/1.09  litapriori =        1
% 0.44/1.09  termapriori =       0
% 0.44/1.09  litaposteriori =    0
% 0.44/1.09  termaposteriori =   0
% 0.44/1.09  demodaposteriori =  0
% 0.44/1.09  ordereqreflfact =   0
% 0.44/1.09  
% 0.44/1.09  litselect =         negative
% 0.44/1.09  
% 0.44/1.09  maxweight =         30000
% 0.44/1.09  maxdepth =          30000
% 0.44/1.09  maxlength =         115
% 0.44/1.09  maxnrvars =         195
% 0.44/1.09  excuselevel =       0
% 0.44/1.09  increasemaxweight = 0
% 0.44/1.09  
% 0.44/1.09  maxselected =       10000000
% 0.44/1.09  maxnrclauses =      10000000
% 0.44/1.09  
% 0.44/1.09  showgenerated =    0
% 0.44/1.09  showkept =         0
% 0.44/1.09  showselected =     0
% 0.44/1.09  showdeleted =      0
% 0.44/1.09  showresimp =       1
% 0.44/1.09  showstatus =       2000
% 0.44/1.09  
% 0.44/1.09  prologoutput =     1
% 0.44/1.09  nrgoals =          5000000
% 0.44/1.09  totalproof =       1
% 0.44/1.09  
% 0.44/1.09  Symbols occurring in the translation:
% 0.44/1.09  
% 0.44/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.09  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.44/1.09  !  [4, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.44/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.09  environment  [40, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.44/1.09  subpopulations  [44, 4]      (w:1, o:53, a:1, s:1, b:0), 
% 0.44/1.09  'growth_rate'  [45, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.44/1.09  zero  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.44/1.09  'greater_or_equal'  [47, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.44/1.09  greater  [48, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.44/1.09  outcompetes  [49, 3]      (w:1, o:52, a:1, s:1, b:0), 
% 0.44/1.09  sk1  [50, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.44/1.09  'first_movers'  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.44/1.09  'efficient_producers'  [52, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.44/1.09  sk2  [53, 0]      (w:1, o:6, a:1, s:1, b:0).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Starting Search:
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Bliksems!, er is een bewijs:
% 0.44/1.09  % SZS status Unsatisfiable
% 0.44/1.09  % SZS output start Refutation
% 0.44/1.09  
% 0.44/1.09  clause( 0, [ ~( subpopulations( Y, Z, X, T ) ), subpopulations( Z, Y, X, T
% 0.44/1.09     ), ~( environment( X ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 1, [ ~( subpopulations( Y, Z, X, T ) ), ~( 'greater_or_equal'( 
% 0.44/1.09    'growth_rate'( Z, T ), zero ) ), ~( greater( zero, 'growth_rate'( Y, T )
% 0.44/1.09     ) ), outcompetes( Z, Y, T ), ~( environment( X ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 4, [ environment( sk1 ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 5, [ subpopulations( 'first_movers', 'efficient_producers', sk1, 
% 0.44/1.09    sk2 ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 6, [ 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 ), zero
% 0.44/1.09     ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 7, [ greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) ) ]
% 0.44/1.09     )
% 0.44/1.09  .
% 0.44/1.09  clause( 8, [ ~( subpopulations( 'first_movers', 'efficient_producers', X, Y
% 0.44/1.09     ) ), ~( outcompetes( 'first_movers', 'efficient_producers', Y ) ), ~( 
% 0.44/1.09    environment( X ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 9, [ subpopulations( Y, X, sk1, Z ), ~( subpopulations( X, Y, sk1, 
% 0.44/1.09    Z ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 10, [ ~( 'greater_or_equal'( 'growth_rate'( Y, Z ), zero ) ), ~( 
% 0.44/1.09    greater( zero, 'growth_rate'( X, Z ) ) ), outcompetes( Y, X, Z ), ~( 
% 0.44/1.09    subpopulations( X, Y, sk1, Z ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 11, [ subpopulations( 'efficient_producers', 'first_movers', sk1, 
% 0.44/1.09    sk2 ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 12, [ ~( outcompetes( 'first_movers', 'efficient_producers', X ) )
% 0.44/1.09    , ~( subpopulations( 'first_movers', 'efficient_producers', sk1, X ) ) ]
% 0.44/1.09     )
% 0.44/1.09  .
% 0.44/1.09  clause( 13, [ ~( outcompetes( 'first_movers', 'efficient_producers', sk2 )
% 0.44/1.09     ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 17, [ outcompetes( 'first_movers', 'efficient_producers', sk2 ), 
% 0.44/1.09    ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 19, [] )
% 0.44/1.09  .
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  % SZS output end Refutation
% 0.44/1.09  found a proof!
% 0.44/1.09  
% 0.44/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.09  
% 0.44/1.09  initialclauses(
% 0.44/1.09  [ clause( 21, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    subpopulations( Z, Y, X, T ) ] )
% 0.44/1.09  , clause( 22, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    ~( 'greater_or_equal'( 'growth_rate'( Z, T ), zero ) ), ~( greater( zero
% 0.44/1.09    , 'growth_rate'( Y, T ) ) ), outcompetes( Z, Y, T ) ] )
% 0.44/1.09  , clause( 23, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    ~( outcompetes( Z, Y, T ) ), 'greater_or_equal'( 'growth_rate'( Z, T ), 
% 0.44/1.09    zero ) ] )
% 0.44/1.09  , clause( 24, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    ~( outcompetes( Z, Y, T ) ), greater( zero, 'growth_rate'( Y, T ) ) ] )
% 0.44/1.09  , clause( 25, [ environment( sk1 ) ] )
% 0.44/1.09  , clause( 26, [ subpopulations( 'first_movers', 'efficient_producers', sk1
% 0.44/1.09    , sk2 ) ] )
% 0.44/1.09  , clause( 27, [ 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 ), 
% 0.44/1.09    zero ) ] )
% 0.44/1.09  , clause( 28, [ greater( zero, 'growth_rate'( 'efficient_producers', sk2 )
% 0.44/1.09     ) ] )
% 0.44/1.09  , clause( 29, [ ~( environment( X ) ), ~( subpopulations( 'first_movers', 
% 0.44/1.09    'efficient_producers', X, Y ) ), ~( outcompetes( 'first_movers', 
% 0.44/1.09    'efficient_producers', Y ) ) ] )
% 0.44/1.09  ] ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 0, [ ~( subpopulations( Y, Z, X, T ) ), subpopulations( Z, Y, X, T
% 0.44/1.09     ), ~( environment( X ) ) ] )
% 0.44/1.09  , clause( 21, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    subpopulations( Z, Y, X, T ) ] )
% 0.44/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.44/1.09    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 1, [ ~( subpopulations( Y, Z, X, T ) ), ~( 'greater_or_equal'( 
% 0.44/1.09    'growth_rate'( Z, T ), zero ) ), ~( greater( zero, 'growth_rate'( Y, T )
% 0.44/1.09     ) ), outcompetes( Z, Y, T ), ~( environment( X ) ) ] )
% 0.44/1.09  , clause( 22, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), 
% 0.44/1.09    ~( 'greater_or_equal'( 'growth_rate'( Z, T ), zero ) ), ~( greater( zero
% 0.44/1.09    , 'growth_rate'( Y, T ) ) ), outcompetes( Z, Y, T ) ] )
% 0.44/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.44/1.09    permutation( 0, [ ==>( 0, 4 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 ), 
% 0.44/1.09    ==>( 4, 3 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 4, [ environment( sk1 ) ] )
% 0.44/1.09  , clause( 25, [ environment( sk1 ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 5, [ subpopulations( 'first_movers', 'efficient_producers', sk1, 
% 0.44/1.09    sk2 ) ] )
% 0.44/1.09  , clause( 26, [ subpopulations( 'first_movers', 'efficient_producers', sk1
% 0.44/1.09    , sk2 ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 6, [ 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 ), zero
% 0.44/1.09     ) ] )
% 0.44/1.09  , clause( 27, [ 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 ), 
% 0.44/1.09    zero ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 7, [ greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) ) ]
% 0.44/1.09     )
% 0.44/1.09  , clause( 28, [ greater( zero, 'growth_rate'( 'efficient_producers', sk2 )
% 0.44/1.09     ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 8, [ ~( subpopulations( 'first_movers', 'efficient_producers', X, Y
% 0.44/1.09     ) ), ~( outcompetes( 'first_movers', 'efficient_producers', Y ) ), ~( 
% 0.44/1.09    environment( X ) ) ] )
% 0.44/1.09  , clause( 29, [ ~( environment( X ) ), ~( subpopulations( 'first_movers', 
% 0.44/1.09    'efficient_producers', X, Y ) ), ~( outcompetes( 'first_movers', 
% 0.44/1.09    'efficient_producers', Y ) ) ] )
% 0.44/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.44/1.09     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 30, [ ~( subpopulations( X, Y, sk1, Z ) ), subpopulations( Y, X, 
% 0.44/1.09    sk1, Z ) ] )
% 0.44/1.09  , clause( 0, [ ~( subpopulations( Y, Z, X, T ) ), subpopulations( Z, Y, X, 
% 0.44/1.09    T ), ~( environment( X ) ) ] )
% 0.44/1.09  , 2, clause( 4, [ environment( sk1 ) ] )
% 0.44/1.09  , 0, substitution( 0, [ :=( X, sk1 ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.44/1.09    , substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 9, [ subpopulations( Y, X, sk1, Z ), ~( subpopulations( X, Y, sk1, 
% 0.44/1.09    Z ) ) ] )
% 0.44/1.09  , clause( 30, [ ~( subpopulations( X, Y, sk1, Z ) ), subpopulations( Y, X, 
% 0.44/1.09    sk1, Z ) ] )
% 0.44/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.09    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 31, [ ~( subpopulations( X, Y, sk1, Z ) ), ~( 'greater_or_equal'( 
% 0.44/1.09    'growth_rate'( Y, Z ), zero ) ), ~( greater( zero, 'growth_rate'( X, Z )
% 0.44/1.09     ) ), outcompetes( Y, X, Z ) ] )
% 0.44/1.09  , clause( 1, [ ~( subpopulations( Y, Z, X, T ) ), ~( 'greater_or_equal'( 
% 0.44/1.09    'growth_rate'( Z, T ), zero ) ), ~( greater( zero, 'growth_rate'( Y, T )
% 0.44/1.09     ) ), outcompetes( Z, Y, T ), ~( environment( X ) ) ] )
% 0.44/1.09  , 4, clause( 4, [ environment( sk1 ) ] )
% 0.44/1.09  , 0, substitution( 0, [ :=( X, sk1 ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.44/1.09    , substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 10, [ ~( 'greater_or_equal'( 'growth_rate'( Y, Z ), zero ) ), ~( 
% 0.44/1.09    greater( zero, 'growth_rate'( X, Z ) ) ), outcompetes( Y, X, Z ), ~( 
% 0.44/1.09    subpopulations( X, Y, sk1, Z ) ) ] )
% 0.44/1.09  , clause( 31, [ ~( subpopulations( X, Y, sk1, Z ) ), ~( 'greater_or_equal'( 
% 0.44/1.09    'growth_rate'( Y, Z ), zero ) ), ~( greater( zero, 'growth_rate'( X, Z )
% 0.44/1.09     ) ), outcompetes( Y, X, Z ) ] )
% 0.44/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.09    permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.44/1.09     ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 32, [ subpopulations( 'efficient_producers', 'first_movers', sk1, 
% 0.44/1.09    sk2 ) ] )
% 0.44/1.09  , clause( 9, [ subpopulations( Y, X, sk1, Z ), ~( subpopulations( X, Y, sk1
% 0.44/1.09    , Z ) ) ] )
% 0.44/1.09  , 1, clause( 5, [ subpopulations( 'first_movers', 'efficient_producers', 
% 0.44/1.09    sk1, sk2 ) ] )
% 0.44/1.09  , 0, substitution( 0, [ :=( X, 'first_movers' ), :=( Y, 
% 0.44/1.09    'efficient_producers' ), :=( Z, sk2 )] ), substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 11, [ subpopulations( 'efficient_producers', 'first_movers', sk1, 
% 0.44/1.09    sk2 ) ] )
% 0.44/1.09  , clause( 32, [ subpopulations( 'efficient_producers', 'first_movers', sk1
% 0.44/1.09    , sk2 ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 33, [ ~( subpopulations( 'first_movers', 'efficient_producers', sk1
% 0.44/1.09    , X ) ), ~( outcompetes( 'first_movers', 'efficient_producers', X ) ) ]
% 0.44/1.09     )
% 0.44/1.09  , clause( 8, [ ~( subpopulations( 'first_movers', 'efficient_producers', X
% 0.44/1.09    , Y ) ), ~( outcompetes( 'first_movers', 'efficient_producers', Y ) ), 
% 0.44/1.09    ~( environment( X ) ) ] )
% 0.44/1.09  , 2, clause( 4, [ environment( sk1 ) ] )
% 0.44/1.09  , 0, substitution( 0, [ :=( X, sk1 ), :=( Y, X )] ), substitution( 1, [] )
% 0.44/1.09    ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 12, [ ~( outcompetes( 'first_movers', 'efficient_producers', X ) )
% 0.44/1.09    , ~( subpopulations( 'first_movers', 'efficient_producers', sk1, X ) ) ]
% 0.44/1.09     )
% 0.44/1.09  , clause( 33, [ ~( subpopulations( 'first_movers', 'efficient_producers', 
% 0.44/1.09    sk1, X ) ), ~( outcompetes( 'first_movers', 'efficient_producers', X ) )
% 0.44/1.09     ] )
% 0.44/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.44/1.09    0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 34, [ ~( outcompetes( 'first_movers', 'efficient_producers', sk2 )
% 0.44/1.09     ) ] )
% 0.44/1.09  , clause( 12, [ ~( outcompetes( 'first_movers', 'efficient_producers', X )
% 0.44/1.09     ), ~( subpopulations( 'first_movers', 'efficient_producers', sk1, X ) )
% 0.44/1.09     ] )
% 0.44/1.09  , 1, clause( 5, [ subpopulations( 'first_movers', 'efficient_producers', 
% 0.44/1.09    sk1, sk2 ) ] )
% 0.44/1.09  , 0, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 13, [ ~( outcompetes( 'first_movers', 'efficient_producers', sk2 )
% 0.44/1.09     ) ] )
% 0.44/1.09  , clause( 34, [ ~( outcompetes( 'first_movers', 'efficient_producers', sk2
% 0.44/1.09     ) ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 35, [ ~( 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 ), 
% 0.44/1.09    zero ) ), ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) )
% 0.44/1.09     ), outcompetes( 'first_movers', 'efficient_producers', sk2 ) ] )
% 0.44/1.09  , clause( 10, [ ~( 'greater_or_equal'( 'growth_rate'( Y, Z ), zero ) ), ~( 
% 0.44/1.09    greater( zero, 'growth_rate'( X, Z ) ) ), outcompetes( Y, X, Z ), ~( 
% 0.44/1.09    subpopulations( X, Y, sk1, Z ) ) ] )
% 0.44/1.09  , 3, clause( 11, [ subpopulations( 'efficient_producers', 'first_movers', 
% 0.44/1.09    sk1, sk2 ) ] )
% 0.44/1.09  , 0, substitution( 0, [ :=( X, 'efficient_producers' ), :=( Y, 
% 0.44/1.09    'first_movers' ), :=( Z, sk2 )] ), substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 36, [ ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 )
% 0.44/1.09     ) ), outcompetes( 'first_movers', 'efficient_producers', sk2 ) ] )
% 0.44/1.09  , clause( 35, [ ~( 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 )
% 0.44/1.09    , zero ) ), ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 )
% 0.44/1.09     ) ), outcompetes( 'first_movers', 'efficient_producers', sk2 ) ] )
% 0.44/1.09  , 0, clause( 6, [ 'greater_or_equal'( 'growth_rate'( 'first_movers', sk2 )
% 0.44/1.09    , zero ) ] )
% 0.44/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 17, [ outcompetes( 'first_movers', 'efficient_producers', sk2 ), 
% 0.44/1.09    ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) ) ) ] )
% 0.44/1.09  , clause( 36, [ ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2
% 0.44/1.09     ) ) ), outcompetes( 'first_movers', 'efficient_producers', sk2 ) ] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.44/1.09     ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 37, [ ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 )
% 0.44/1.09     ) ) ] )
% 0.44/1.09  , clause( 13, [ ~( outcompetes( 'first_movers', 'efficient_producers', sk2
% 0.44/1.09     ) ) ] )
% 0.44/1.09  , 0, clause( 17, [ outcompetes( 'first_movers', 'efficient_producers', sk2
% 0.44/1.09     ), ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2 ) ) ) ]
% 0.44/1.09     )
% 0.44/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  resolution(
% 0.44/1.09  clause( 38, [] )
% 0.44/1.09  , clause( 37, [ ~( greater( zero, 'growth_rate'( 'efficient_producers', sk2
% 0.44/1.09     ) ) ) ] )
% 0.44/1.09  , 0, clause( 7, [ greater( zero, 'growth_rate'( 'efficient_producers', sk2
% 0.44/1.09     ) ) ] )
% 0.44/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  subsumption(
% 0.44/1.09  clause( 19, [] )
% 0.44/1.09  , clause( 38, [] )
% 0.44/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  end.
% 0.44/1.09  
% 0.44/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.09  
% 0.44/1.09  Memory use:
% 0.44/1.09  
% 0.44/1.09  space for terms:        523
% 0.44/1.09  space for clauses:      1300
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  clauses generated:      22
% 0.44/1.09  clauses kept:           20
% 0.44/1.09  clauses selected:       16
% 0.44/1.09  clauses deleted:        1
% 0.44/1.09  clauses inuse deleted:  0
% 0.44/1.09  
% 0.44/1.09  subsentry:          2
% 0.44/1.09  literals s-matched: 2
% 0.44/1.09  literals matched:   2
% 0.44/1.09  full subsumption:   0
% 0.44/1.09  
% 0.44/1.09  checksum:           1383000960
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Bliksem ended
%------------------------------------------------------------------------------