TSTP Solution File: MGT027-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.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 21:57:43 EDT 2022

% Result   : Unsatisfiable 88.03s 88.38s
% Output   : Refutation 88.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Thu Jun  9 09:16:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 87.93/88.38  *** allocated 10000 integers for termspace/termends
% 87.93/88.38  *** allocated 10000 integers for clauses
% 87.93/88.38  *** allocated 10000 integers for justifications
% 87.93/88.38  Bliksem 1.12
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Automatic Strategy Selection
% 87.93/88.38  
% 87.93/88.38  Clauses:
% 87.93/88.38  [
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( X, Y ) )
% 87.93/88.38    , greater( 'cardinality_at_time'( 'first_movers', sk1( Y, X ) ), zero ), 
% 87.93/88.38    'contracts_from'( Y, 'first_movers' ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( X, Y ) )
% 87.93/88.38    , 'greater_or_equal'( sk1( Y, X ), Y ), 'contracts_from'( Y, 
% 87.93/88.38    'first_movers' ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( X, Y ) )
% 87.93/88.38    , ~( greater( zero, 'growth_rate'( 'first_movers', sk1( Y, X ) ) ) ), 
% 87.93/88.38    'contracts_from'( Y, 'first_movers' ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( greater( 
% 87.93/88.38    'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 87.93/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 87.93/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( X, Y ) )
% 87.93/88.38    , ~( greater( Z, Y ) ), 'in_environment'( X, Z ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( X, appear( 
% 87.93/88.38    'efficient_producers', X ) ) ],
% 87.93/88.38     [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ],
% 87.93/88.38     [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ],
% 87.93/88.38     [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 87.93/88.38     [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 87.93/88.38    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 87.93/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), greater( sk2( X ), appear( 
% 87.93/88.38    'efficient_producers', X ) ) ],
% 87.93/88.38     [ ~( environment( X ) ), ~( stable( X ) ), ~( subpopulations( 
% 87.93/88.38    'first_movers', 'efficient_producers', X, Y ) ), ~( 'greater_or_equal'( Y
% 87.93/88.38    , sk2( X ) ) ), greater( zero, 'growth_rate'( 'first_movers', Y ) ) ]
% 87.93/88.38    ,
% 87.93/88.38     [ environment( sk3 ) ],
% 87.93/88.38     [ stable( sk3 ) ],
% 87.93/88.38     [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), ~( 
% 87.93/88.38    'contracts_from'( X, 'first_movers' ) ) ]
% 87.93/88.38  ] .
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  percentage equality = 0.037037, percentage horn = 0.812500
% 87.93/88.38  This is a problem with some equality
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Options Used:
% 87.93/88.38  
% 87.93/88.38  useres =            1
% 87.93/88.38  useparamod =        1
% 87.93/88.38  useeqrefl =         1
% 87.93/88.38  useeqfact =         1
% 87.93/88.38  usefactor =         1
% 87.93/88.38  usesimpsplitting =  0
% 87.93/88.38  usesimpdemod =      5
% 87.93/88.38  usesimpres =        3
% 87.93/88.38  
% 87.93/88.38  resimpinuse      =  1000
% 87.93/88.38  resimpclauses =     20000
% 87.93/88.38  substype =          eqrewr
% 87.93/88.38  backwardsubs =      1
% 87.93/88.38  selectoldest =      5
% 87.93/88.38  
% 87.93/88.38  litorderings [0] =  split
% 87.93/88.38  litorderings [1] =  extend the termordering, first sorting on arguments
% 87.93/88.38  
% 87.93/88.38  termordering =      kbo
% 87.93/88.38  
% 87.93/88.38  litapriori =        0
% 87.93/88.38  termapriori =       1
% 87.93/88.38  litaposteriori =    0
% 87.93/88.38  termaposteriori =   0
% 87.93/88.38  demodaposteriori =  0
% 87.93/88.38  ordereqreflfact =   0
% 87.93/88.38  
% 87.93/88.38  litselect =         negord
% 87.93/88.38  
% 87.93/88.38  maxweight =         15
% 87.93/88.38  maxdepth =          30000
% 87.93/88.38  maxlength =         115
% 87.93/88.38  maxnrvars =         195
% 87.93/88.38  excuselevel =       1
% 87.93/88.38  increasemaxweight = 1
% 87.93/88.38  
% 87.93/88.38  maxselected =       10000000
% 87.93/88.38  maxnrclauses =      10000000
% 87.93/88.38  
% 87.93/88.38  showgenerated =    0
% 87.93/88.38  showkept =         0
% 87.93/88.38  showselected =     0
% 87.93/88.38  showdeleted =      0
% 87.93/88.38  showresimp =       1
% 87.93/88.38  showstatus =       2000
% 87.93/88.38  
% 87.93/88.38  prologoutput =     1
% 87.93/88.38  nrgoals =          5000000
% 87.93/88.38  totalproof =       1
% 87.93/88.38  
% 87.93/88.38  Symbols occurring in the translation:
% 87.93/88.38  
% 87.93/88.38  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 87.93/88.38  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 87.93/88.38  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 87.93/88.38  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 87.93/88.38  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 87.93/88.38  environment  [40, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 87.93/88.38  stable  [41, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 87.93/88.38  'in_environment'  [43, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 87.93/88.38  'first_movers'  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 87.93/88.38  sk1  [45, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 87.93/88.38  'cardinality_at_time'  [46, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 87.93/88.38  zero  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 87.93/88.38  greater  [48, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 87.93/88.38  'contracts_from'  [49, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 87.93/88.38  'greater_or_equal'  [50, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 87.93/88.38  'growth_rate'  [51, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 87.93/88.38  'efficient_producers'  [52, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 87.93/88.38  subpopulations  [53, 4]      (w:1, o:57, a:1, s:1, b:0), 
% 87.93/88.38  appear  [55, 2]      (w:1, o:56, a:1, s:1, b:0), 
% 87.93/88.38  sk2  [56, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 87.93/88.38  sk3  [57, 0]      (w:1, o:5, a:1, s:1, b:0).
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Starting Search:
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Intermediate Status:
% 87.93/88.38  Generated:    21326
% 87.93/88.38  Kept:         2003
% 87.93/88.38  Inuse:        182
% 87.93/88.38  Deleted:      14
% 87.93/88.38  Deletedinuse: 0
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Intermediate Status:
% 87.93/88.38  Generated:    73371
% 87.93/88.38  Kept:         4016
% 87.93/88.38  Inuse:        428
% 87.93/88.38  Deleted:      29
% 87.93/88.38  Deletedinuse: 0
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Intermediate Status:
% 87.93/88.38  Generated:    197048
% 87.93/88.38  Kept:         6016
% 87.93/88.38  Inuse:        607
% 87.93/88.38  Deleted:      42
% 87.93/88.38  Deletedinuse: 2
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 87.93/88.38  Done
% 87.93/88.38  
% 87.93/88.38  
% 87.93/88.38  Intermediate Status:
% 87.93/88.38  Generated:    3978528
% 87.93/88.38  Kept:         8061
% 87.93/88.38  Inuse:        2272
% 87.93/88.38  Deleted:      169
% 87.93/88.38  Deletedinuse: 8
% 87.93/88.38  
% 87.93/88.38  Resimplifying inuse:
% 88.03/88.38  
% 88.03/88.38  Bliksems!, er is een bewijs:
% 88.03/88.38  % SZS status Unsatisfiable
% 88.03/88.38  % SZS output start Refutation
% 88.03/88.38  
% 88.03/88.38  clause( 0, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), greater( 'cardinality_at_time'( 'first_movers', sk1( Y, X ) ), 
% 88.03/88.38    zero ), 'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 1, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), 'greater_or_equal'( sk1( Y, X ), Y ), 'contracts_from'( Y, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 2, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), ~( greater( zero, 'growth_rate'( 'first_movers', sk1( Y, X ) )
% 88.03/88.38     ) ), 'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 3, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 4, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), ~( greater( Z, Y ) ), 'in_environment'( X, Z ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 5, [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( X, 
% 88.03/88.38    appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 6, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ]
% 88.03/88.38     )
% 88.03/88.38  .
% 88.03/88.38  clause( 7, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ]
% 88.03/88.38     )
% 88.03/88.38  .
% 88.03/88.38  clause( 8, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 9, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 10, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 11, [ ~( environment( X ) ), ~( stable( X ) ), greater( sk2( X ), 
% 88.03/88.38    appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 12, [ ~( environment( X ) ), ~( stable( X ) ), ~( subpopulations( 
% 88.03/88.38    'first_movers', 'efficient_producers', X, Y ) ), ~( 'greater_or_equal'( Y
% 88.03/88.38    , sk2( X ) ) ), greater( zero, 'growth_rate'( 'first_movers', Y ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 14, [ stable( sk3 ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 15, [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), ~( 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 16, [ 'greater_or_equal'( X, X ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 18, [ ~( 'in_environment'( sk3, X ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', sk1( X, sk3 ) ), zero ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 24, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), 
% 88.03/88.38    'greater_or_equal'( X, Z ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 53, [ ~( 'in_environment'( sk3, X ) ), 'greater_or_equal'( sk1( X, 
% 88.03/88.38    sk3 ), X ), 'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 89, [ ~( 'in_environment'( sk3, X ) ), ~( greater( zero, 
% 88.03/88.38    'growth_rate'( 'first_movers', sk1( X, sk3 ) ) ) ), 'contracts_from'( X, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 131, [ ~( 'in_environment'( sk3, X ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', X ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', X ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', sk3, X ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 150, [ 'in_environment'( sk3, appear( 'efficient_producers', sk3 )
% 88.03/88.38     ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 169, [ greater( sk2( sk3 ), appear( 'efficient_producers', sk3 ) )
% 88.03/88.38     ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 177, [ ~( greater( X, sk2( sk3 ) ) ), 'greater_or_equal'( X, appear( 
% 88.03/88.38    'efficient_producers', sk3 ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 179, [ ~( greater( X, sk2( sk3 ) ) ), greater( X, appear( 
% 88.03/88.38    'efficient_producers', sk3 ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 180, [ ~( 'contracts_from'( sk2( sk3 ), 'first_movers' ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 181, [ 'greater_or_equal'( sk2( sk3 ), appear( 
% 88.03/88.38    'efficient_producers', sk3 ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 183, [ greater( X, appear( 'efficient_producers', sk3 ) ), ~( 
% 88.03/88.38    'greater_or_equal'( X, sk2( sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 190, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, appear( 'efficient_producers', Y ) ) ), 'in_environment'( X, sk2( Y )
% 88.03/88.38     ), ~( environment( Y ) ), ~( stable( Y ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 211, [ ~( 'in_environment'( sk3, X ) ), ~( greater( Y, X ) ), 
% 88.03/88.38    'in_environment'( sk3, Y ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 212, [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( X
% 88.03/88.38    , sk2( X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 221, [ 'greater_or_equal'( X, appear( 'efficient_producers', sk3 )
% 88.03/88.38     ), ~( 'greater_or_equal'( X, sk2( sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 234, [ 'in_environment'( sk3, sk2( sk3 ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 242, [ ~( environment( X ) ), greater( 'cardinality_at_time'( 
% 88.03/88.38    'efficient_producers', appear( 'efficient_producers', X ) ), zero ), ~( 
% 88.03/88.38    stable( X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 270, [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), 
% 88.03/88.38    'in_environment'( sk3, X ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 293, [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), ~( 
% 88.03/88.38    'greater_or_equal'( X, appear( 'efficient_producers', sk3 ) ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', X ), zero ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 313, [ ~( subpopulations( 'first_movers', 'efficient_producers', 
% 88.03/88.38    sk3, X ) ), ~( 'greater_or_equal'( X, sk2( sk3 ) ) ), greater( zero, 
% 88.03/88.38    'growth_rate'( 'first_movers', X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 394, [ greater( 'cardinality_at_time'( 'first_movers', sk1( sk2( 
% 88.03/88.38    sk3 ), sk3 ) ), zero ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 453, [ ~( 'greater_or_equal'( X, sk2( sk3 ) ) ), 'in_environment'( 
% 88.03/88.38    sk3, X ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 458, [ ~( 'greater_or_equal'( X, sk2( sk3 ) ) ), ~( 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 471, [ 'in_environment'( sk3, X ), ~( =( X, sk2( sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 536, [ ~( 'contracts_from'( X, 'first_movers' ) ), ~( =( X, sk2( 
% 88.03/88.38    sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 1990, [ 'greater_or_equal'( sk1( X, sk3 ), X ), ~( =( X, sk2( sk3 )
% 88.03/88.38     ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 1999, [ 'greater_or_equal'( sk1( sk2( sk3 ), sk3 ), sk2( sk3 ) ) ]
% 88.03/88.38     )
% 88.03/88.38  .
% 88.03/88.38  clause( 2603, [ ~( greater( zero, 'growth_rate'( 'first_movers', sk1( sk2( 
% 88.03/88.38    sk3 ), sk3 ) ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 2611, [ ~( greater( zero, X ) ), ~( greater( X, 'growth_rate'( 
% 88.03/88.38    'first_movers', sk1( sk2( sk3 ), sk3 ) ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 2612, [ ~( greater( X, 'growth_rate'( 'first_movers', sk1( sk2( sk3
% 88.03/88.38     ), sk3 ) ) ) ), ~( 'greater_or_equal'( zero, X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 2667, [ greater( 'cardinality_at_time'( 'efficient_producers', 
% 88.03/88.38    appear( 'efficient_producers', sk3 ) ), zero ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 2703, [ greater( 'cardinality_at_time'( 'efficient_producers', X )
% 88.03/88.38    , zero ), ~( 'greater_or_equal'( X, appear( 'efficient_producers', sk3 )
% 88.03/88.38     ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 2753, [ greater( 'cardinality_at_time'( 'efficient_producers', X )
% 88.03/88.38    , zero ), ~( 'greater_or_equal'( X, sk2( sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 3699, [ ~( greater( 'cardinality_at_time'( 'first_movers', X ), 
% 88.03/88.38    zero ) ), subpopulations( 'first_movers', 'efficient_producers', sk3, X )
% 88.03/88.38    , ~( 'greater_or_equal'( X, sk2( sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 3723, [ ~( greater( X, 'growth_rate'( 'first_movers', sk1( sk2( sk3
% 88.03/88.38     ), sk3 ) ) ) ), ~( =( zero, X ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 6573, [ ~( subpopulations( 'first_movers', 'efficient_producers', 
% 88.03/88.38    sk3, sk1( sk2( sk3 ), sk3 ) ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 7694, [ subpopulations( 'first_movers', 'efficient_producers', sk3
% 88.03/88.38    , sk1( sk2( sk3 ), sk3 ) ) ] )
% 88.03/88.38  .
% 88.03/88.38  clause( 8154, [] )
% 88.03/88.38  .
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  % SZS output end Refutation
% 88.03/88.38  found a proof!
% 88.03/88.38  
% 88.03/88.38  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 88.03/88.38  
% 88.03/88.38  initialclauses(
% 88.03/88.38  [ clause( 8156, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), greater( 'cardinality_at_time'( 
% 88.03/88.38    'first_movers', sk1( Y, X ) ), zero ), 'contracts_from'( Y, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , clause( 8157, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), 'greater_or_equal'( sk1( Y, X ), Y ), 
% 88.03/88.38    'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8158, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), ~( greater( zero, 'growth_rate'( 
% 88.03/88.38    'first_movers', sk1( Y, X ) ) ) ), 'contracts_from'( Y, 'first_movers' )
% 88.03/88.38     ] )
% 88.03/88.38  , clause( 8159, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 88.03/88.38  , clause( 8160, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), ~( greater( Z, Y ) ), 'in_environment'( X, Z
% 88.03/88.38     ) ] )
% 88.03/88.38  , clause( 8161, [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( 
% 88.03/88.38    X, appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , clause( 8162, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z
% 88.03/88.38     ) ] )
% 88.03/88.38  , clause( 8163, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y
% 88.03/88.38     ) ] )
% 88.03/88.38  , clause( 8164, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , clause( 8165, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , clause( 8166, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 88.03/88.38  , clause( 8167, [ ~( environment( X ) ), ~( stable( X ) ), greater( sk2( X
% 88.03/88.38     ), appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , clause( 8168, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ), ~( 
% 88.03/88.38    'greater_or_equal'( Y, sk2( X ) ) ), greater( zero, 'growth_rate'( 
% 88.03/88.38    'first_movers', Y ) ) ] )
% 88.03/88.38  , clause( 8169, [ environment( sk3 ) ] )
% 88.03/88.38  , clause( 8170, [ stable( sk3 ) ] )
% 88.03/88.38  , clause( 8171, [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), 
% 88.03/88.38    ~( 'contracts_from'( X, 'first_movers' ) ) ] )
% 88.03/88.38  ] ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 0, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), greater( 'cardinality_at_time'( 'first_movers', sk1( Y, X ) ), 
% 88.03/88.38    zero ), 'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8156, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), greater( 'cardinality_at_time'( 
% 88.03/88.38    'first_movers', sk1( Y, X ) ), zero ), 'contracts_from'( Y, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 1, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), 'greater_or_equal'( sk1( Y, X ), Y ), 'contracts_from'( Y, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , clause( 8157, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), 'greater_or_equal'( sk1( Y, X ), Y ), 
% 88.03/88.38    'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 2, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), ~( greater( zero, 'growth_rate'( 'first_movers', sk1( Y, X ) )
% 88.03/88.38     ) ), 'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8158, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), ~( greater( zero, 'growth_rate'( 
% 88.03/88.38    'first_movers', sk1( Y, X ) ) ) ), 'contracts_from'( Y, 'first_movers' )
% 88.03/88.38     ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 3, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 88.03/88.38  , clause( 8159, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 4, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), ~( greater( Z, Y ) ), 'in_environment'( X, Z ) ] )
% 88.03/88.38  , clause( 8160, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    'in_environment'( X, Y ) ), ~( greater( Z, Y ) ), 'in_environment'( X, Z
% 88.03/88.38     ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 88.03/88.38    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 88.03/88.38    ==>( 4, 4 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 5, [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( X, 
% 88.03/88.38    appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , clause( 8161, [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( 
% 88.03/88.38    X, appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 6, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ]
% 88.03/88.38     )
% 88.03/88.38  , clause( 8162, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z
% 88.03/88.38     ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 88.03/88.38    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 7, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ]
% 88.03/88.38     )
% 88.03/88.38  , clause( 8163, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y
% 88.03/88.38     ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 8, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , clause( 8164, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 9, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , clause( 8165, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 10, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 88.03/88.38  , clause( 8166, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 11, [ ~( environment( X ) ), ~( stable( X ) ), greater( sk2( X ), 
% 88.03/88.38    appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , clause( 8167, [ ~( environment( X ) ), ~( stable( X ) ), greater( sk2( X
% 88.03/88.38     ), appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 12, [ ~( environment( X ) ), ~( stable( X ) ), ~( subpopulations( 
% 88.03/88.38    'first_movers', 'efficient_producers', X, Y ) ), ~( 'greater_or_equal'( Y
% 88.03/88.38    , sk2( X ) ) ), greater( zero, 'growth_rate'( 'first_movers', Y ) ) ] )
% 88.03/88.38  , clause( 8168, [ ~( environment( X ) ), ~( stable( X ) ), ~( 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ), ~( 
% 88.03/88.38    'greater_or_equal'( Y, sk2( X ) ) ), greater( zero, 'growth_rate'( 
% 88.03/88.38    'first_movers', Y ) ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 88.03/88.38     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  , clause( 8169, [ environment( sk3 ) ] )
% 88.03/88.38  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 14, [ stable( sk3 ) ] )
% 88.03/88.38  , clause( 8170, [ stable( sk3 ) ] )
% 88.03/88.38  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 15, [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), ~( 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ) ] )
% 88.03/88.38  , clause( 8171, [ ~( greater( X, appear( 'efficient_producers', sk3 ) ) ), 
% 88.03/88.38    ~( 'contracts_from'( X, 'first_movers' ) ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  eqswap(
% 88.03/88.38  clause( 8198, [ ~( =( Y, X ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , clause( 9, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  eqrefl(
% 88.03/88.38  clause( 8199, [ 'greater_or_equal'( X, X ) ] )
% 88.03/88.38  , clause( 8198, [ ~( =( Y, X ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 16, [ 'greater_or_equal'( X, X ) ] )
% 88.03/88.38  , clause( 8199, [ 'greater_or_equal'( X, X ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8200, [ ~( stable( sk3 ) ), ~( 'in_environment'( sk3, X ) ), 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', sk1( X, sk3 ) ), zero ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , clause( 0, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), greater( 'cardinality_at_time'( 'first_movers', sk1( Y, X ) ), 
% 88.03/88.38    zero ), 'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  , 0, clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, sk3 ), :=( Y, X )] ), substitution( 1, [] )
% 88.03/88.38    ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8201, [ ~( 'in_environment'( sk3, X ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', sk1( X, sk3 ) ), zero ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8200, [ ~( stable( sk3 ) ), ~( 'in_environment'( sk3, X ) ), 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', sk1( X, sk3 ) ), zero ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , 0, clause( 14, [ stable( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 18, [ ~( 'in_environment'( sk3, X ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', sk1( X, sk3 ) ), zero ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8201, [ ~( 'in_environment'( sk3, X ) ), greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', sk1( X, sk3 ) ), zero ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8202, [ 'greater_or_equal'( X, Y ), ~( greater( X, Z ) ), ~( 
% 88.03/88.38    greater( Z, Y ) ) ] )
% 88.03/88.38  , clause( 8, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 88.03/88.38  , 0, clause( 6, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z
% 88.03/88.38     ) ] )
% 88.03/88.38  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 88.03/88.38    , X ), :=( Y, Z ), :=( Z, Y )] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 24, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), 
% 88.03/88.38    'greater_or_equal'( X, Z ) ] )
% 88.03/88.38  , clause( 8202, [ 'greater_or_equal'( X, Y ), ~( greater( X, Z ) ), ~( 
% 88.03/88.38    greater( Z, Y ) ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 88.03/88.38    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8204, [ ~( stable( sk3 ) ), ~( 'in_environment'( sk3, X ) ), 
% 88.03/88.38    'greater_or_equal'( sk1( X, sk3 ), X ), 'contracts_from'( X, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , clause( 1, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), 'greater_or_equal'( sk1( Y, X ), Y ), 'contracts_from'( Y, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , 0, clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, sk3 ), :=( Y, X )] ), substitution( 1, [] )
% 88.03/88.38    ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8205, [ ~( 'in_environment'( sk3, X ) ), 'greater_or_equal'( sk1( X
% 88.03/88.38    , sk3 ), X ), 'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8204, [ ~( stable( sk3 ) ), ~( 'in_environment'( sk3, X ) ), 
% 88.03/88.38    'greater_or_equal'( sk1( X, sk3 ), X ), 'contracts_from'( X, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , 0, clause( 14, [ stable( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 53, [ ~( 'in_environment'( sk3, X ) ), 'greater_or_equal'( sk1( X, 
% 88.03/88.38    sk3 ), X ), 'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , clause( 8205, [ ~( 'in_environment'( sk3, X ) ), 'greater_or_equal'( sk1( 
% 88.03/88.38    X, sk3 ), X ), 'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8206, [ ~( stable( sk3 ) ), ~( 'in_environment'( sk3, X ) ), ~( 
% 88.03/88.38    greater( zero, 'growth_rate'( 'first_movers', sk1( X, sk3 ) ) ) ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , clause( 2, [ ~( environment( X ) ), ~( stable( X ) ), ~( 'in_environment'( 
% 88.03/88.38    X, Y ) ), ~( greater( zero, 'growth_rate'( 'first_movers', sk1( Y, X ) )
% 88.03/88.38     ) ), 'contracts_from'( Y, 'first_movers' ) ] )
% 88.03/88.38  , 0, clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, sk3 ), :=( Y, X )] ), substitution( 1, [] )
% 88.03/88.38    ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8207, [ ~( 'in_environment'( sk3, X ) ), ~( greater( zero, 
% 88.03/88.38    'growth_rate'( 'first_movers', sk1( X, sk3 ) ) ) ), 'contracts_from'( X, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , clause( 8206, [ ~( stable( sk3 ) ), ~( 'in_environment'( sk3, X ) ), ~( 
% 88.03/88.38    greater( zero, 'growth_rate'( 'first_movers', sk1( X, sk3 ) ) ) ), 
% 88.03/88.38    'contracts_from'( X, 'first_movers' ) ] )
% 88.03/88.38  , 0, clause( 14, [ stable( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 89, [ ~( 'in_environment'( sk3, X ) ), ~( greater( zero, 
% 88.03/88.38    'growth_rate'( 'first_movers', sk1( X, sk3 ) ) ) ), 'contracts_from'( X, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , clause( 8207, [ ~( 'in_environment'( sk3, X ) ), ~( greater( zero, 
% 88.03/88.38    'growth_rate'( 'first_movers', sk1( X, sk3 ) ) ) ), 'contracts_from'( X, 
% 88.03/88.38    'first_movers' ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 ), ==>( 2, 2 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8208, [ ~( 'in_environment'( sk3, X ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', X ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', X ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', sk3, X ) ] )
% 88.03/88.38  , clause( 3, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 88.03/88.38    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 88.03/88.38  , 0, clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, sk3 ), :=( Y, X )] ), substitution( 1, [] )
% 88.03/88.38    ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 131, [ ~( 'in_environment'( sk3, X ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', X ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', X ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', sk3, X ) ] )
% 88.03/88.38  , clause( 8208, [ ~( 'in_environment'( sk3, X ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'first_movers', X ), zero ) ), ~( greater( 
% 88.03/88.38    'cardinality_at_time'( 'efficient_producers', X ), zero ) ), 
% 88.03/88.38    subpopulations( 'first_movers', 'efficient_producers', sk3, X ) ] )
% 88.03/88.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 88.03/88.38    1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8209, [ ~( stable( sk3 ) ), 'in_environment'( sk3, appear( 
% 88.03/88.38    'efficient_producers', sk3 ) ) ] )
% 88.03/88.38  , clause( 5, [ ~( environment( X ) ), ~( stable( X ) ), 'in_environment'( X
% 88.03/88.38    , appear( 'efficient_producers', X ) ) ] )
% 88.03/88.38  , 0, clause( 13, [ environment( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [ :=( X, sk3 )] ), substitution( 1, [] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8210, [ 'in_environment'( sk3, appear( 'efficient_producers', sk3 )
% 88.03/88.38     ) ] )
% 88.03/88.38  , clause( 8209, [ ~( stable( sk3 ) ), 'in_environment'( sk3, appear( 
% 88.03/88.38    'efficient_producers', sk3 ) ) ] )
% 88.03/88.38  , 0, clause( 14, [ stable( sk3 ) ] )
% 88.03/88.38  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  subsumption(
% 88.03/88.38  clause( 150, [ 'in_environment'( sk3, appear( 'efficient_producers', sk3 )
% 88.03/88.38     ) ] )
% 88.03/88.38  , clause( 8210, [ 'in_environment'( sk3, appear( 'efficient_producers', sk3
% 88.03/88.38     ) ) ] )
% 88.03/88.38  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 88.03/88.38  
% 88.03/88.38  
% 88.03/88.38  resolution(
% 88.03/88.38  clause( 8211, [ ~( stable( sCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------