TSTP Solution File: MGT026-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : MGT026-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 21:57:42 EDT 2022

% Result   : Unsatisfiable 2.65s 3.04s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : MGT026-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Thu Jun  9 08:36:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.65/3.04  *** allocated 10000 integers for termspace/termends
% 2.65/3.04  *** allocated 10000 integers for clauses
% 2.65/3.04  *** allocated 10000 integers for justifications
% 2.65/3.04  Bliksem 1.12
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Automatic Strategy Selection
% 2.65/3.04  
% 2.65/3.04  Clauses:
% 2.65/3.04  [
% 2.65/3.04     [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), ~( greater( 
% 2.65/3.04    'growth_rate'( Z, T ), 'growth_rate'( Y, T ) ) ), 'selection_favors'( Z, 
% 2.65/3.04    Y, T ) ],
% 2.65/3.04     [ ~( environment( X ) ), ~( subpopulation( Y, X, Z ) ), ~( subpopulation( 
% 2.65/3.04    T, X, Z ) ), ~( greater( 'cardinality_at_time'( Y, Z ), zero ) ), ~( =( 
% 2.65/3.04    'cardinality_at_time'( T, Z ), zero ) ), 'selection_favors'( Y, T, Z ) ]
% 2.65/3.04    ,
% 2.65/3.04     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( greater( 
% 2.65/3.04    'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 2.65/3.04    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ],
% 2.65/3.04     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    'greater_or_equal'( 'cardinality_at_time'( 'first_movers', Y ), zero ) ]
% 2.65/3.04    ,
% 2.65/3.04     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), subpopulation( 
% 2.65/3.04    'first_movers', X, Y ) ],
% 2.65/3.04     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), subpopulation( 
% 2.65/3.04    'efficient_producers', X, Y ) ],
% 2.65/3.04     [ ~( environment( X ) ), 'greater_or_equal'( 'critical_point'( X ), 
% 2.65/3.04    appear( 'efficient_producers', X ) ) ],
% 2.65/3.04     [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ],
% 2.65/3.04     [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ],
% 2.65/3.04     [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 2.65/3.04     [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ],
% 2.65/3.04     [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) ) ), ~( greater( 
% 2.65/3.04    'growth_rate'( 'efficient_producers', Y ), 'growth_rate'( 'first_movers'
% 2.65/3.04    , Y ) ) ) ],
% 2.65/3.04     [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) ) ), ~( 
% 2.65/3.04    subpopulations( 'first_movers', 'efficient_producers', X, Z ) ), ~( 
% 2.65/3.04    greater( Z, Y ) ), greater( 'growth_rate'( 'efficient_producers', Z ), 
% 2.65/3.04    'growth_rate'( 'first_movers', Z ) ) ],
% 2.65/3.04     [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 2.65/3.04    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ],
% 2.65/3.04     [ environment( sk1 ) ],
% 2.65/3.04     [ 'in_environment'( sk1, sk2 ) ],
% 2.65/3.04     [ greater( sk2, 'critical_point'( sk1 ) ) ],
% 2.65/3.04     [ ~( 'selection_favors'( 'efficient_producers', 'first_movers', sk2 ) )
% 2.65/3.04     ]
% 2.65/3.04  ] .
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  percentage equality = 0.096154, percentage horn = 0.944444
% 2.65/3.04  This is a problem with some equality
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Options Used:
% 2.65/3.04  
% 2.65/3.04  useres =            1
% 2.65/3.04  useparamod =        1
% 2.65/3.04  useeqrefl =         1
% 2.65/3.04  useeqfact =         1
% 2.65/3.04  usefactor =         1
% 2.65/3.04  usesimpsplitting =  0
% 2.65/3.04  usesimpdemod =      5
% 2.65/3.04  usesimpres =        3
% 2.65/3.04  
% 2.65/3.04  resimpinuse      =  1000
% 2.65/3.04  resimpclauses =     20000
% 2.65/3.04  substype =          eqrewr
% 2.65/3.04  backwardsubs =      1
% 2.65/3.04  selectoldest =      5
% 2.65/3.04  
% 2.65/3.04  litorderings [0] =  split
% 2.65/3.04  litorderings [1] =  extend the termordering, first sorting on arguments
% 2.65/3.04  
% 2.65/3.04  termordering =      kbo
% 2.65/3.04  
% 2.65/3.04  litapriori =        0
% 2.65/3.04  termapriori =       1
% 2.65/3.04  litaposteriori =    0
% 2.65/3.04  termaposteriori =   0
% 2.65/3.04  demodaposteriori =  0
% 2.65/3.04  ordereqreflfact =   0
% 2.65/3.04  
% 2.65/3.04  litselect =         negord
% 2.65/3.04  
% 2.65/3.04  maxweight =         15
% 2.65/3.04  maxdepth =          30000
% 2.65/3.04  maxlength =         115
% 2.65/3.04  maxnrvars =         195
% 2.65/3.04  excuselevel =       1
% 2.65/3.04  increasemaxweight = 1
% 2.65/3.04  
% 2.65/3.04  maxselected =       10000000
% 2.65/3.04  maxnrclauses =      10000000
% 2.65/3.04  
% 2.65/3.04  showgenerated =    0
% 2.65/3.04  showkept =         0
% 2.65/3.04  showselected =     0
% 2.65/3.04  showdeleted =      0
% 2.65/3.04  showresimp =       1
% 2.65/3.04  showstatus =       2000
% 2.65/3.04  
% 2.65/3.04  prologoutput =     1
% 2.65/3.04  nrgoals =          5000000
% 2.65/3.04  totalproof =       1
% 2.65/3.04  
% 2.65/3.04  Symbols occurring in the translation:
% 2.65/3.04  
% 2.65/3.04  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 2.65/3.04  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 2.65/3.04  !  [4, 1]      (w:0, o:18, a:1, s:1, b:0), 
% 2.65/3.04  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.65/3.04  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.65/3.04  environment  [40, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 2.65/3.04  subpopulations  [44, 4]      (w:1, o:58, a:1, s:1, b:0), 
% 2.65/3.04  'growth_rate'  [45, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 2.65/3.04  greater  [46, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 2.65/3.04  'selection_favors'  [47, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 2.65/3.04  subpopulation  [48, 3]      (w:1, o:57, a:1, s:1, b:0), 
% 2.65/3.04  'cardinality_at_time'  [49, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 2.65/3.04  zero  [50, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 2.65/3.04  'in_environment'  [51, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 2.65/3.04  'first_movers'  [52, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 2.65/3.04  'efficient_producers'  [53, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 2.65/3.04  'greater_or_equal'  [54, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 2.65/3.04  'critical_point'  [55, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 2.65/3.04  appear  [56, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 2.65/3.04  sk1  [57, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 2.65/3.04  sk2  [58, 0]      (w:1, o:6, a:1, s:1, b:0).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Starting Search:
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Intermediate Status:
% 2.65/3.04  Generated:    8013
% 2.65/3.04  Kept:         2059
% 2.65/3.04  Inuse:        158
% 2.65/3.04  Deleted:      3
% 2.65/3.04  Deletedinuse: 0
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Intermediate Status:
% 2.65/3.04  Generated:    22891
% 2.65/3.04  Kept:         4067
% 2.65/3.04  Inuse:        242
% 2.65/3.04  Deleted:      15
% 2.65/3.04  Deletedinuse: 3
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Intermediate Status:
% 2.65/3.04  Generated:    41070
% 2.65/3.04  Kept:         6080
% 2.65/3.04  Inuse:        353
% 2.65/3.04  Deleted:      19
% 2.65/3.04  Deletedinuse: 3
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Intermediate Status:
% 2.65/3.04  Generated:    64398
% 2.65/3.04  Kept:         8083
% 2.65/3.04  Inuse:        479
% 2.65/3.04  Deleted:      95
% 2.65/3.04  Deletedinuse: 71
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Intermediate Status:
% 2.65/3.04  Generated:    97161
% 2.65/3.04  Kept:         10100
% 2.65/3.04  Inuse:        607
% 2.65/3.04  Deleted:      239
% 2.65/3.04  Deletedinuse: 132
% 2.65/3.04  
% 2.65/3.04  Resimplifying inuse:
% 2.65/3.04  Done
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  Bliksems!, er is een bewijs:
% 2.65/3.04  % SZS status Unsatisfiable
% 2.65/3.04  % SZS output start Refutation
% 2.65/3.04  
% 2.65/3.04  clause( 0, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), ~( 
% 2.65/3.04    greater( 'growth_rate'( Z, T ), 'growth_rate'( Y, T ) ) ), 
% 2.65/3.04    'selection_favors'( Z, Y, T ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 1, [ ~( environment( X ) ), ~( subpopulation( Y, X, Z ) ), ~( 
% 2.65/3.04    subpopulation( T, X, Z ) ), ~( greater( 'cardinality_at_time'( Y, Z ), 
% 2.65/3.04    zero ) ), ~( =( 'cardinality_at_time'( T, Z ), zero ) ), 
% 2.65/3.04    'selection_favors'( Y, T, Z ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 2, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 2.65/3.04    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 2.65/3.04    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 3, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    'greater_or_equal'( 'cardinality_at_time'( 'first_movers', Y ), zero ) ]
% 2.65/3.04     )
% 2.65/3.04  .
% 2.65/3.04  clause( 4, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'first_movers', X, Y ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 5, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'efficient_producers', X, Y ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 6, [ ~( environment( X ) ), 'greater_or_equal'( 'critical_point'( X
% 2.65/3.04     ), appear( 'efficient_producers', X ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 7, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ]
% 2.65/3.04     )
% 2.65/3.04  .
% 2.65/3.04  clause( 8, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ]
% 2.65/3.04     )
% 2.65/3.04  .
% 2.65/3.04  clause( 9, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 10, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 12, [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) ) ), 
% 2.65/3.04    ~( subpopulations( 'first_movers', 'efficient_producers', X, Z ) ), ~( 
% 2.65/3.04    greater( Z, Y ) ), greater( 'growth_rate'( 'efficient_producers', Z ), 
% 2.65/3.04    'growth_rate'( 'first_movers', Z ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 13, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 2.65/3.04    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 14, [ environment( sk1 ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 15, [ 'in_environment'( sk1, sk2 ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 16, [ greater( sk2, 'critical_point'( sk1 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 17, [ ~( 'selection_favors'( 'efficient_producers', 'first_movers'
% 2.65/3.04    , sk2 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 22, [ ~( environment( X ) ), ~( subpopulations( 'first_movers', 
% 2.65/3.04    'efficient_producers', X, sk2 ) ), ~( greater( 'growth_rate'( 
% 2.65/3.04    'efficient_producers', sk2 ), 'growth_rate'( 'first_movers', sk2 ) ) ) ]
% 2.65/3.04     )
% 2.65/3.04  .
% 2.65/3.04  clause( 25, [ 'greater_or_equal'( 'critical_point'( sk1 ), appear( 
% 2.65/3.04    'efficient_producers', sk1 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 32, [ ~( greater( 'critical_point'( sk1 ), X ) ), greater( sk2, X )
% 2.65/3.04     ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 41, [ ~( greater( 'cardinality_at_time'( 'first_movers', sk2 ), 
% 2.65/3.04    zero ) ), ~( greater( 'cardinality_at_time'( 'efficient_producers', sk2 )
% 2.65/3.04    , zero ) ), subpopulations( 'first_movers', 'efficient_producers', sk1, 
% 2.65/3.04    sk2 ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 128, [ greater( sk2, X ), ~( 'greater_or_equal'( 'critical_point'( 
% 2.65/3.04    sk1 ), X ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 148, [ 'greater_or_equal'( 'cardinality_at_time'( 'first_movers', 
% 2.65/3.04    sk2 ), zero ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 189, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 2.65/3.04    subpopulation( Z, X, Y ) ), ~( greater( 'cardinality_at_time'( Z, Y ), 
% 2.65/3.04    zero ) ), ~( =( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), 
% 2.65/3.04    'selection_favors'( Z, 'first_movers', Y ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 281, [ greater( sk2, appear( 'efficient_producers', sk1 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 294, [ ~( greater( X, sk2 ) ), greater( X, appear( 
% 2.65/3.04    'efficient_producers', sk1 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 296, [ greater( X, appear( 'efficient_producers', sk1 ) ), ~( 
% 2.65/3.04    'greater_or_equal'( X, sk2 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 333, [ ~( environment( X ) ), ~( =( 'critical_point'( sk1 ), 
% 2.65/3.04    'critical_point'( X ) ) ), ~( subpopulations( 'first_movers', 
% 2.65/3.04    'efficient_producers', X, sk2 ) ), greater( 'growth_rate'( 
% 2.65/3.04    'efficient_producers', sk2 ), 'growth_rate'( 'first_movers', sk2 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 345, [ ~( subpopulations( 'first_movers', 'efficient_producers', 
% 2.65/3.04    sk1, sk2 ) ), greater( 'growth_rate'( 'efficient_producers', sk2 ), 
% 2.65/3.04    'growth_rate'( 'first_movers', sk2 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 444, [ ~( 'greater_or_equal'( X, sk2 ) ), 'greater_or_equal'( X, 
% 2.65/3.04    appear( 'efficient_producers', sk1 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 457, [ 'greater_or_equal'( X, appear( 'efficient_producers', sk1 )
% 2.65/3.04     ), ~( =( X, sk2 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 466, [ ~( =( X, sk2 ) ), ~( 'in_environment'( sk1, X ) ), greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', X ), zero ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 473, [ greater( 'cardinality_at_time'( 'efficient_producers', sk2 )
% 2.65/3.04    , zero ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 478, [ ~( greater( zero, X ) ), greater( 'cardinality_at_time'( 
% 2.65/3.04    'efficient_producers', sk2 ), X ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 487, [ greater( 'cardinality_at_time'( 'efficient_producers', sk2 )
% 2.65/3.04    , X ), ~( 'greater_or_equal'( zero, X ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 594, [ ~( subpopulations( 'first_movers', 'efficient_producers', 
% 2.65/3.04    sk1, sk2 ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 640, [ greater( 'cardinality_at_time'( 'efficient_producers', sk2 )
% 2.65/3.04    , X ), ~( =( zero, X ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 1247, [ ~( greater( 'cardinality_at_time'( 'first_movers', sk2 ), 
% 2.65/3.04    zero ) ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 1253, [ =( 'cardinality_at_time'( 'first_movers', sk2 ), zero ) ]
% 2.65/3.04     )
% 2.65/3.04  .
% 2.65/3.04  clause( 11010, [ ~( environment( X ) ), ~( 'in_environment'( X, sk2 ) ), 
% 2.65/3.04    'selection_favors'( 'efficient_producers', 'first_movers', sk2 ) ] )
% 2.65/3.04  .
% 2.65/3.04  clause( 11013, [ ~( environment( X ) ), ~( 'in_environment'( X, sk2 ) ) ]
% 2.65/3.04     )
% 2.65/3.04  .
% 2.65/3.04  clause( 11023, [] )
% 2.65/3.04  .
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  % SZS output end Refutation
% 2.65/3.04  found a proof!
% 2.65/3.04  
% 2.65/3.04  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.65/3.04  
% 2.65/3.04  initialclauses(
% 2.65/3.04  [ clause( 11025, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) )
% 2.65/3.04    , ~( greater( 'growth_rate'( Z, T ), 'growth_rate'( Y, T ) ) ), 
% 2.65/3.04    'selection_favors'( Z, Y, T ) ] )
% 2.65/3.04  , clause( 11026, [ ~( environment( X ) ), ~( subpopulation( Y, X, Z ) ), 
% 2.65/3.04    ~( subpopulation( T, X, Z ) ), ~( greater( 'cardinality_at_time'( Y, Z )
% 2.65/3.04    , zero ) ), ~( =( 'cardinality_at_time'( T, Z ), zero ) ), 
% 2.65/3.04    'selection_favors'( Y, T, Z ) ] )
% 2.65/3.04  , clause( 11027, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    ~( greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( 
% 2.65/3.04    greater( 'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 2.65/3.04    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 2.65/3.04  , clause( 11028, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    'greater_or_equal'( 'cardinality_at_time'( 'first_movers', Y ), zero ) ]
% 2.65/3.04     )
% 2.65/3.04  , clause( 11029, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'first_movers', X, Y ) ] )
% 2.65/3.04  , clause( 11030, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'efficient_producers', X, Y ) ] )
% 2.65/3.04  , clause( 11031, [ ~( environment( X ) ), 'greater_or_equal'( 
% 2.65/3.04    'critical_point'( X ), appear( 'efficient_producers', X ) ) ] )
% 2.65/3.04  , clause( 11032, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, 
% 2.65/3.04    Z ) ] )
% 2.65/3.04  , clause( 11033, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, 
% 2.65/3.04    Y ) ] )
% 2.65/3.04  , clause( 11034, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  , clause( 11035, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  , clause( 11036, [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) )
% 2.65/3.04     ), ~( greater( 'growth_rate'( 'efficient_producers', Y ), 'growth_rate'( 
% 2.65/3.04    'first_movers', Y ) ) ) ] )
% 2.65/3.04  , clause( 11037, [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) )
% 2.65/3.04     ), ~( subpopulations( 'first_movers', 'efficient_producers', X, Z ) ), 
% 2.65/3.04    ~( greater( Z, Y ) ), greater( 'growth_rate'( 'efficient_producers', Z )
% 2.65/3.04    , 'growth_rate'( 'first_movers', Z ) ) ] )
% 2.65/3.04  , clause( 11038, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    ~( 'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 2.65/3.04  , clause( 11039, [ environment( sk1 ) ] )
% 2.65/3.04  , clause( 11040, [ 'in_environment'( sk1, sk2 ) ] )
% 2.65/3.04  , clause( 11041, [ greater( sk2, 'critical_point'( sk1 ) ) ] )
% 2.65/3.04  , clause( 11042, [ ~( 'selection_favors'( 'efficient_producers', 
% 2.65/3.04    'first_movers', sk2 ) ) ] )
% 2.65/3.04  ] ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 0, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) ), ~( 
% 2.65/3.04    greater( 'growth_rate'( Z, T ), 'growth_rate'( Y, T ) ) ), 
% 2.65/3.04    'selection_favors'( Z, Y, T ) ] )
% 2.65/3.04  , clause( 11025, [ ~( environment( X ) ), ~( subpopulations( Y, Z, X, T ) )
% 2.65/3.04    , ~( greater( 'growth_rate'( Z, T ), 'growth_rate'( Y, T ) ) ), 
% 2.65/3.04    'selection_favors'( Z, Y, T ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 2.65/3.04    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.65/3.04     ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 1, [ ~( environment( X ) ), ~( subpopulation( Y, X, Z ) ), ~( 
% 2.65/3.04    subpopulation( T, X, Z ) ), ~( greater( 'cardinality_at_time'( Y, Z ), 
% 2.65/3.04    zero ) ), ~( =( 'cardinality_at_time'( T, Z ), zero ) ), 
% 2.65/3.04    'selection_favors'( Y, T, Z ) ] )
% 2.65/3.04  , clause( 11026, [ ~( environment( X ) ), ~( subpopulation( Y, X, Z ) ), 
% 2.65/3.04    ~( subpopulation( T, X, Z ) ), ~( greater( 'cardinality_at_time'( Y, Z )
% 2.65/3.04    , zero ) ), ~( =( 'cardinality_at_time'( T, Z ), zero ) ), 
% 2.65/3.04    'selection_favors'( Y, T, Z ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 2.65/3.04    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 2.65/3.04    ==>( 4, 4 ), ==>( 5, 5 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 2, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 2.65/3.04    greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 2.65/3.04    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 2.65/3.04  , clause( 11027, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    ~( greater( 'cardinality_at_time'( 'first_movers', Y ), zero ) ), ~( 
% 2.65/3.04    greater( 'cardinality_at_time'( 'efficient_producers', Y ), zero ) ), 
% 2.65/3.04    subpopulations( 'first_movers', 'efficient_producers', X, Y ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 3, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    'greater_or_equal'( 'cardinality_at_time'( 'first_movers', Y ), zero ) ]
% 2.65/3.04     )
% 2.65/3.04  , clause( 11028, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    'greater_or_equal'( 'cardinality_at_time'( 'first_movers', Y ), zero ) ]
% 2.65/3.04     )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 4, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'first_movers', X, Y ) ] )
% 2.65/3.04  , clause( 11029, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'first_movers', X, Y ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 5, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'efficient_producers', X, Y ) ] )
% 2.65/3.04  , clause( 11030, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    subpopulation( 'efficient_producers', X, Y ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 6, [ ~( environment( X ) ), 'greater_or_equal'( 'critical_point'( X
% 2.65/3.04     ), appear( 'efficient_producers', X ) ) ] )
% 2.65/3.04  , clause( 11031, [ ~( environment( X ) ), 'greater_or_equal'( 
% 2.65/3.04    'critical_point'( X ), appear( 'efficient_producers', X ) ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 2.65/3.04    1 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 7, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, Z ) ]
% 2.65/3.04     )
% 2.65/3.04  , clause( 11032, [ ~( greater( X, Y ) ), ~( greater( Y, Z ) ), greater( X, 
% 2.65/3.04    Z ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 2.65/3.04    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 8, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, Y ) ]
% 2.65/3.04     )
% 2.65/3.04  , clause( 11033, [ ~( 'greater_or_equal'( X, Y ) ), greater( X, Y ), =( X, 
% 2.65/3.04    Y ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 9, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  , clause( 11034, [ ~( greater( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 10, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  , clause( 11035, [ ~( =( X, Y ) ), 'greater_or_equal'( X, Y ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 12, [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) ) ), 
% 2.65/3.04    ~( subpopulations( 'first_movers', 'efficient_producers', X, Z ) ), ~( 
% 2.65/3.04    greater( Z, Y ) ), greater( 'growth_rate'( 'efficient_producers', Z ), 
% 2.65/3.04    'growth_rate'( 'first_movers', Z ) ) ] )
% 2.65/3.04  , clause( 11037, [ ~( environment( X ) ), ~( =( Y, 'critical_point'( X ) )
% 2.65/3.04     ), ~( subpopulations( 'first_movers', 'efficient_producers', X, Z ) ), 
% 2.65/3.04    ~( greater( Z, Y ) ), greater( 'growth_rate'( 'efficient_producers', Z )
% 2.65/3.04    , 'growth_rate'( 'first_movers', Z ) ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 2.65/3.04    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 2.65/3.04    ==>( 4, 4 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 13, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), ~( 
% 2.65/3.04    'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 2.65/3.04  , clause( 11038, [ ~( environment( X ) ), ~( 'in_environment'( X, Y ) ), 
% 2.65/3.04    ~( 'greater_or_equal'( Y, appear( 'efficient_producers', X ) ) ), greater( 
% 2.65/3.04    'cardinality_at_time'( 'efficient_producers', Y ), zero ) ] )
% 2.65/3.04  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.65/3.04     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 14, [ environment( sk1 ) ] )
% 2.65/3.04  , clause( 11039, [ environment( sk1 ) ] )
% 2.65/3.04  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 15, [ 'in_environment'( sk1, sk2 ) ] )
% 2.65/3.04  , clause( 11040, [ 'in_environment'( sk1, sk2 ) ] )
% 2.65/3.04  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 16, [ greater( sk2, 'critical_point'( sk1 ) ) ] )
% 2.65/3.04  , clause( 11041, [ greater( sk2, 'critical_point'( sk1 ) ) ] )
% 2.65/3.04  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  subsumption(
% 2.65/3.04  clause( 17, [ ~( 'selection_favors'( 'efficient_producers', 'first_movers'
% 2.65/3.04    , sk2 ) ) ] )
% 2.65/3.04  , clause( 11042, [ ~( 'selection_favors'( 'efficient_producers', 
% 2.65/3.04    'first_movers', sk2 ) ) ] )
% 2.65/3.04  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.65/3.04  
% 2.65/3.04  
% 2.65/3.04  resolution(
% 2.65/3.04  clause( 11129, [ ~( environment( X ) ), ~( subpopulations( 'first_movers', 
% 2.65/3.04    'efficient_producers', X, sk2 ) ), ~( greater( 'growth_rate'( 
% 2.65/3.04    'efficient_producers', sk2 ), 'growth_rate'( 'first_movers', sk2 ) ) ) ]
% 2.65/3.04     )
% 2.65/3.04  , clause( 17, [ ~( 'selection_favors'( 'efficient_producers'Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------