TSTP Solution File: COL075-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL075-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 : Fri Jul 15 00:12:36 EDT 2022

% Result   : Unsatisfiable 215.61s 216.02s
% Output   : Refutation 215.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COL075-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n025.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 : Tue May 31 12:28:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 128.00/128.38  *** allocated 10000 integers for termspace/termends
% 128.00/128.38  *** allocated 10000 integers for clauses
% 128.00/128.38  *** allocated 10000 integers for justifications
% 128.00/128.38  Bliksem 1.12
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Automatic Strategy Selection
% 128.00/128.38  
% 128.00/128.38  Clauses:
% 128.00/128.38  [
% 128.00/128.38     [ =( apply( apply( k, X ), Y ), X ) ],
% 128.00/128.38     [ =( apply( projection1, pair( X, Y ) ), X ) ],
% 128.00/128.38     [ =( apply( projection2, pair( X, Y ) ), Y ) ],
% 128.00/128.38     [ =( pair( apply( projection1, X ), apply( projection2, X ) ), X ) ]
% 128.00/128.38    ,
% 128.00/128.38     [ =( apply( pair( X, Y ), Z ), pair( apply( X, Z ), apply( Y, Z ) ) ) ]
% 128.00/128.38    ,
% 128.00/128.38     [ =( apply( apply( apply( abstraction, X ), Y ), Z ), apply( apply( X, 
% 128.00/128.38    apply( k, Z ) ), apply( Y, Z ) ) ) ],
% 128.00/128.38     [ =( apply( eq, pair( X, X ) ), projection1 ) ],
% 128.00/128.38     [ =( X, Y ), =( apply( eq, pair( X, Y ) ), projection2 ) ],
% 128.00/128.38     [ =( X, Y ), ~( =( apply( X, n( X, Y ) ), apply( Y, n( X, Y ) ) ) ) ]
% 128.00/128.38    ,
% 128.00/128.38     [ ~( =( projection1, projection2 ) ) ],
% 128.00/128.38     [ ~( =( apply( apply( X, b( X ) ), c( X ) ), apply( b( X ), b( X ) ) ) )
% 128.00/128.38     ]
% 128.00/128.38  ] .
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  percentage equality = 1.000000, percentage horn = 0.909091
% 128.00/128.38  This is a pure equality problem
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Options Used:
% 128.00/128.38  
% 128.00/128.38  useres =            1
% 128.00/128.38  useparamod =        1
% 128.00/128.38  useeqrefl =         1
% 128.00/128.38  useeqfact =         1
% 128.00/128.38  usefactor =         1
% 128.00/128.38  usesimpsplitting =  0
% 128.00/128.38  usesimpdemod =      5
% 128.00/128.38  usesimpres =        3
% 128.00/128.38  
% 128.00/128.38  resimpinuse      =  1000
% 128.00/128.38  resimpclauses =     20000
% 128.00/128.38  substype =          eqrewr
% 128.00/128.38  backwardsubs =      1
% 128.00/128.38  selectoldest =      5
% 128.00/128.38  
% 128.00/128.38  litorderings [0] =  split
% 128.00/128.38  litorderings [1] =  extend the termordering, first sorting on arguments
% 128.00/128.38  
% 128.00/128.38  termordering =      kbo
% 128.00/128.38  
% 128.00/128.38  litapriori =        0
% 128.00/128.38  termapriori =       1
% 128.00/128.38  litaposteriori =    0
% 128.00/128.38  termaposteriori =   0
% 128.00/128.38  demodaposteriori =  0
% 128.00/128.38  ordereqreflfact =   0
% 128.00/128.38  
% 128.00/128.38  litselect =         negord
% 128.00/128.38  
% 128.00/128.38  maxweight =         15
% 128.00/128.38  maxdepth =          30000
% 128.00/128.38  maxlength =         115
% 128.00/128.38  maxnrvars =         195
% 128.00/128.38  excuselevel =       1
% 128.00/128.38  increasemaxweight = 1
% 128.00/128.38  
% 128.00/128.38  maxselected =       10000000
% 128.00/128.38  maxnrclauses =      10000000
% 128.00/128.38  
% 128.00/128.38  showgenerated =    0
% 128.00/128.38  showkept =         0
% 128.00/128.38  showselected =     0
% 128.00/128.38  showdeleted =      0
% 128.00/128.38  showresimp =       1
% 128.00/128.38  showstatus =       2000
% 128.00/128.38  
% 128.00/128.38  prologoutput =     1
% 128.00/128.38  nrgoals =          5000000
% 128.00/128.38  totalproof =       1
% 128.00/128.38  
% 128.00/128.38  Symbols occurring in the translation:
% 128.00/128.38  
% 128.00/128.38  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 128.00/128.38  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 128.00/128.38  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 128.00/128.38  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 128.00/128.38  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 128.00/128.38  k  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 128.00/128.38  apply  [41, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 128.00/128.38  projection1  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 128.00/128.38  pair  [44, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 128.00/128.38  projection2  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 128.00/128.38  abstraction  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 128.00/128.38  eq  [48, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 128.00/128.38  n  [49, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 128.00/128.38  b  [50, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 128.00/128.38  c  [51, 1]      (w:1, o:23, a:1, s:1, b:0).
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Starting Search:
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    51591
% 128.00/128.38  Kept:         2072
% 128.00/128.38  Inuse:        230
% 128.00/128.38  Deleted:      29
% 128.00/128.38  Deletedinuse: 3
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    184754
% 128.00/128.38  Kept:         4090
% 128.00/128.38  Inuse:        483
% 128.00/128.38  Deleted:      117
% 128.00/128.38  Deletedinuse: 36
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    363358
% 128.00/128.38  Kept:         6296
% 128.00/128.38  Inuse:        613
% 128.00/128.38  Deleted:      147
% 128.00/128.38  Deletedinuse: 48
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    503589
% 128.00/128.38  Kept:         8435
% 128.00/128.38  Inuse:        792
% 128.00/128.38  Deleted:      185
% 128.00/128.38  Deletedinuse: 69
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    566440
% 128.00/128.38  Kept:         10723
% 128.00/128.38  Inuse:        880
% 128.00/128.38  Deleted:      269
% 128.00/128.38  Deletedinuse: 94
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    613253
% 128.00/128.38  Kept:         12725
% 128.00/128.38  Inuse:        946
% 128.00/128.38  Deleted:      298
% 128.00/128.38  Deletedinuse: 106
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    671786
% 128.00/128.38  Kept:         14745
% 128.00/128.38  Inuse:        1026
% 128.00/128.38  Deleted:      410
% 128.00/128.38  Deletedinuse: 212
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  Resimplifying inuse:
% 128.00/128.38  Done
% 128.00/128.38  
% 128.00/128.38  
% 128.00/128.38  Intermediate Status:
% 128.00/128.38  Generated:    702994
% 128.00/128.38  Kept:         16757
% 128.00/128.38  Inuse:        1067
% 215.61/216.01  Deleted:      437
% 215.61/216.01  Deletedinuse: 231
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  
% 215.61/216.01  Intermediate Status:
% 215.61/216.01  Generated:    767814
% 215.61/216.01  Kept:         18787
% 215.61/216.01  Inuse:        1189
% 215.61/216.01  Deleted:      523
% 215.61/216.01  Deletedinuse: 280
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  Resimplifying clauses:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  
% 215.61/216.01  Intermediate Status:
% 215.61/216.01  Generated:    965264
% 215.61/216.01  Kept:         20792
% 215.61/216.01  Inuse:        1364
% 215.61/216.01  Deleted:      7109
% 215.61/216.01  Deletedinuse: 280
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  
% 215.61/216.01  Intermediate Status:
% 215.61/216.01  Generated:    1044284
% 215.61/216.01  Kept:         22808
% 215.61/216.01  Inuse:        1442
% 215.61/216.01  Deleted:      7116
% 215.61/216.01  Deletedinuse: 286
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  
% 215.61/216.01  Intermediate Status:
% 215.61/216.01  Generated:    1100902
% 215.61/216.01  Kept:         24816
% 215.61/216.01  Inuse:        1522
% 215.61/216.01  Deleted:      7127
% 215.61/216.01  Deletedinuse: 287
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  
% 215.61/216.01  Intermediate Status:
% 215.61/216.01  Generated:    1159994
% 215.61/216.01  Kept:         26825
% 215.61/216.01  Inuse:        1602
% 215.61/216.01  Deleted:      7153
% 215.61/216.01  Deletedinuse: 313
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  Resimplifying inuse:
% 215.61/216.01  Done
% 215.61/216.01  
% 215.61/216.01  
% 215.61/216.01  Intermediate Status:
% 215.61/216.01  Generated:    1239591
% 215.61/216.01  Kept:         28829
% 215.61/216.02  Inuse:        1715
% 215.61/216.02  Deleted:      7165
% 215.61/216.02  Deletedinuse: 325
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    1374598
% 215.61/216.02  Kept:         32773
% 215.61/216.02  Inuse:        1872
% 215.61/216.02  Deleted:      7175
% 215.61/216.02  Deletedinuse: 326
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    1554473
% 215.61/216.02  Kept:         34774
% 215.61/216.02  Inuse:        2057
% 215.61/216.02  Deleted:      7184
% 215.61/216.02  Deletedinuse: 326
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    1730687
% 215.61/216.02  Kept:         36784
% 215.61/216.02  Inuse:        2198
% 215.61/216.02  Deleted:      7210
% 215.61/216.02  Deletedinuse: 326
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    1919581
% 215.61/216.02  Kept:         38800
% 215.61/216.02  Inuse:        2384
% 215.61/216.02  Deleted:      7232
% 215.61/216.02  Deletedinuse: 326
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying clauses:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    2049641
% 215.61/216.02  Kept:         40805
% 215.61/216.02  Inuse:        2466
% 215.61/216.02  Deleted:      9936
% 215.61/216.02  Deletedinuse: 337
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    2277708
% 215.61/216.02  Kept:         42820
% 215.61/216.02  Inuse:        2577
% 215.61/216.02  Deleted:      9936
% 215.61/216.02  Deletedinuse: 337
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    2564733
% 215.61/216.02  Kept:         44829
% 215.61/216.02  Inuse:        2745
% 215.61/216.02  Deleted:      9938
% 215.61/216.02  Deletedinuse: 339
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    2732500
% 215.61/216.02  Kept:         46886
% 215.61/216.02  Inuse:        2902
% 215.61/216.02  Deleted:      9938
% 215.61/216.02  Deletedinuse: 339
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    2906070
% 215.61/216.02  Kept:         48886
% 215.61/216.02  Inuse:        3084
% 215.61/216.02  Deleted:      9941
% 215.61/216.02  Deletedinuse: 340
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    2970971
% 215.61/216.02  Kept:         50891
% 215.61/216.02  Inuse:        3148
% 215.61/216.02  Deleted:      9941
% 215.61/216.02  Deletedinuse: 340
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3027747
% 215.61/216.02  Kept:         52907
% 215.61/216.02  Inuse:        3217
% 215.61/216.02  Deleted:      9941
% 215.61/216.02  Deletedinuse: 340
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3063670
% 215.61/216.02  Kept:         54925
% 215.61/216.02  Inuse:        3260
% 215.61/216.02  Deleted:      9941
% 215.61/216.02  Deletedinuse: 340
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3160986
% 215.61/216.02  Kept:         56982
% 215.61/216.02  Inuse:        3335
% 215.61/216.02  Deleted:      9946
% 215.61/216.02  Deletedinuse: 345
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3256289
% 215.61/216.02  Kept:         59009
% 215.61/216.02  Inuse:        3417
% 215.61/216.02  Deleted:      10124
% 215.61/216.02  Deletedinuse: 512
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying clauses:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3367245
% 215.61/216.02  Kept:         61010
% 215.61/216.02  Inuse:        3541
% 215.61/216.02  Deleted:      14937
% 215.61/216.02  Deletedinuse: 584
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3492984
% 215.61/216.02  Kept:         63013
% 215.61/216.02  Inuse:        3677
% 215.61/216.02  Deleted:      14942
% 215.61/216.02  Deletedinuse: 588
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3608759
% 215.61/216.02  Kept:         65023
% 215.61/216.02  Inuse:        3794
% 215.61/216.02  Deleted:      14957
% 215.61/216.02  Deletedinuse: 595
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3695178
% 215.61/216.02  Kept:         67030
% 215.61/216.02  Inuse:        3891
% 215.61/216.02  Deleted:      15074
% 215.61/216.02  Deletedinuse: 709
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    3845462
% 215.61/216.02  Kept:         69032
% 215.61/216.02  Inuse:        4059
% 215.61/216.02  Deleted:      15134
% 215.61/216.02  Deletedinuse: 737
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4011654
% 215.61/216.02  Kept:         71040
% 215.61/216.02  Inuse:        4178
% 215.61/216.02  Deleted:      15134
% 215.61/216.02  Deletedinuse: 737
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4183046
% 215.61/216.02  Kept:         73046
% 215.61/216.02  Inuse:        4277
% 215.61/216.02  Deleted:      15145
% 215.61/216.02  Deletedinuse: 748
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4343085
% 215.61/216.02  Kept:         75047
% 215.61/216.02  Inuse:        4389
% 215.61/216.02  Deleted:      15145
% 215.61/216.02  Deletedinuse: 748
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4542111
% 215.61/216.02  Kept:         77066
% 215.61/216.02  Inuse:        4605
% 215.61/216.02  Deleted:      15163
% 215.61/216.02  Deletedinuse: 754
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4664023
% 215.61/216.02  Kept:         79066
% 215.61/216.02  Inuse:        4735
% 215.61/216.02  Deleted:      15251
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying clauses:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4726989
% 215.61/216.02  Kept:         81078
% 215.61/216.02  Inuse:        4790
% 215.61/216.02  Deleted:      21071
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4822232
% 215.61/216.02  Kept:         83106
% 215.61/216.02  Inuse:        4873
% 215.61/216.02  Deleted:      21071
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    4908841
% 215.61/216.02  Kept:         85116
% 215.61/216.02  Inuse:        4949
% 215.61/216.02  Deleted:      21071
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5008466
% 215.61/216.02  Kept:         87127
% 215.61/216.02  Inuse:        5038
% 215.61/216.02  Deleted:      21071
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5106722
% 215.61/216.02  Kept:         89130
% 215.61/216.02  Inuse:        5113
% 215.61/216.02  Deleted:      21071
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5203318
% 215.61/216.02  Kept:         91144
% 215.61/216.02  Inuse:        5190
% 215.61/216.02  Deleted:      21071
% 215.61/216.02  Deletedinuse: 815
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5299259
% 215.61/216.02  Kept:         93171
% 215.61/216.02  Inuse:        5275
% 215.61/216.02  Deleted:      21072
% 215.61/216.02  Deletedinuse: 816
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5393746
% 215.61/216.02  Kept:         95192
% 215.61/216.02  Inuse:        5355
% 215.61/216.02  Deleted:      21073
% 215.61/216.02  Deletedinuse: 817
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5498079
% 215.61/216.02  Kept:         97266
% 215.61/216.02  Inuse:        5434
% 215.61/216.02  Deleted:      21073
% 215.61/216.02  Deletedinuse: 817
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5561168
% 215.61/216.02  Kept:         99278
% 215.61/216.02  Inuse:        5497
% 215.61/216.02  Deleted:      21076
% 215.61/216.02  Deletedinuse: 820
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying clauses:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5661968
% 215.61/216.02  Kept:         101295
% 215.61/216.02  Inuse:        5569
% 215.61/216.02  Deleted:      27207
% 215.61/216.02  Deletedinuse: 829
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5736346
% 215.61/216.02  Kept:         103311
% 215.61/216.02  Inuse:        5628
% 215.61/216.02  Deleted:      27228
% 215.61/216.02  Deletedinuse: 847
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Intermediate Status:
% 215.61/216.02  Generated:    5810902
% 215.61/216.02  Kept:         105312
% 215.61/216.02  Inuse:        5693
% 215.61/216.02  Deleted:      27241
% 215.61/216.02  Deletedinuse: 860
% 215.61/216.02  
% 215.61/216.02  Resimplifying inuse:
% 215.61/216.02  Done
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Bliksems!, er is een bewijs:
% 215.61/216.02  % SZS status Unsatisfiable
% 215.61/216.02  % SZS output start Refutation
% 215.61/216.02  
% 215.61/216.02  clause( 0, [ =( apply( apply( k, X ), Y ), X ) ] )
% 215.61/216.02  .
% 215.61/216.02  clause( 5, [ =( apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ), apply( 
% 215.61/216.02    apply( apply( abstraction, X ), Y ), Z ) ) ] )
% 215.61/216.02  .
% 215.61/216.02  clause( 10, [ ~( =( apply( apply( X, b( X ) ), c( X ) ), apply( b( X ), b( 
% 215.61/216.02    X ) ) ) ) ] )
% 215.61/216.02  .
% 215.61/216.02  clause( 116, [ =( apply( apply( apply( abstraction, Z ), apply( k, X ) ), Y
% 215.61/216.02     ), apply( apply( Z, apply( k, Y ) ), X ) ) ] )
% 215.61/216.02  .
% 215.61/216.02  clause( 3509, [ =( apply( apply( apply( apply( abstraction, abstraction ), 
% 215.61/216.02    k ), X ), Y ), apply( X, X ) ) ] )
% 215.61/216.02  .
% 215.61/216.02  clause( 106428, [] )
% 215.61/216.02  .
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  % SZS output end Refutation
% 215.61/216.02  found a proof!
% 215.61/216.02  
% 215.61/216.02  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 215.61/216.02  
% 215.61/216.02  initialclauses(
% 215.61/216.02  [ clause( 106430, [ =( apply( apply( k, X ), Y ), X ) ] )
% 215.61/216.02  , clause( 106431, [ =( apply( projection1, pair( X, Y ) ), X ) ] )
% 215.61/216.02  , clause( 106432, [ =( apply( projection2, pair( X, Y ) ), Y ) ] )
% 215.61/216.02  , clause( 106433, [ =( pair( apply( projection1, X ), apply( projection2, X
% 215.61/216.02     ) ), X ) ] )
% 215.61/216.02  , clause( 106434, [ =( apply( pair( X, Y ), Z ), pair( apply( X, Z ), apply( 
% 215.61/216.02    Y, Z ) ) ) ] )
% 215.61/216.02  , clause( 106435, [ =( apply( apply( apply( abstraction, X ), Y ), Z ), 
% 215.61/216.02    apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ) ) ] )
% 215.61/216.02  , clause( 106436, [ =( apply( eq, pair( X, X ) ), projection1 ) ] )
% 215.61/216.02  , clause( 106437, [ =( X, Y ), =( apply( eq, pair( X, Y ) ), projection2 )
% 215.61/216.02     ] )
% 215.61/216.02  , clause( 106438, [ =( X, Y ), ~( =( apply( X, n( X, Y ) ), apply( Y, n( X
% 215.61/216.02    , Y ) ) ) ) ] )
% 215.61/216.02  , clause( 106439, [ ~( =( projection1, projection2 ) ) ] )
% 215.61/216.02  , clause( 106440, [ ~( =( apply( apply( X, b( X ) ), c( X ) ), apply( b( X
% 215.61/216.02     ), b( X ) ) ) ) ] )
% 215.61/216.02  ] ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  subsumption(
% 215.61/216.02  clause( 0, [ =( apply( apply( k, X ), Y ), X ) ] )
% 215.61/216.02  , clause( 106430, [ =( apply( apply( k, X ), Y ), X ) ] )
% 215.61/216.02  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 215.61/216.02     )] ) ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  eqswap(
% 215.61/216.02  clause( 106447, [ =( apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ), 
% 215.61/216.02    apply( apply( apply( abstraction, X ), Y ), Z ) ) ] )
% 215.61/216.02  , clause( 106435, [ =( apply( apply( apply( abstraction, X ), Y ), Z ), 
% 215.61/216.02    apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ) ) ] )
% 215.61/216.02  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  subsumption(
% 215.61/216.02  clause( 5, [ =( apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ), apply( 
% 215.61/216.02    apply( apply( abstraction, X ), Y ), Z ) ) ] )
% 215.61/216.02  , clause( 106447, [ =( apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ), 
% 215.61/216.02    apply( apply( apply( abstraction, X ), Y ), Z ) ) ] )
% 215.61/216.02  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 215.61/216.02    permutation( 0, [ ==>( 0, 0 )] ) ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  subsumption(
% 215.61/216.02  clause( 10, [ ~( =( apply( apply( X, b( X ) ), c( X ) ), apply( b( X ), b( 
% 215.61/216.02    X ) ) ) ) ] )
% 215.61/216.02  , clause( 106440, [ ~( =( apply( apply( X, b( X ) ), c( X ) ), apply( b( X
% 215.61/216.02     ), b( X ) ) ) ) ] )
% 215.61/216.02  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  eqswap(
% 215.61/216.02  clause( 106464, [ =( apply( apply( apply( abstraction, X ), Z ), Y ), apply( 
% 215.61/216.02    apply( X, apply( k, Y ) ), apply( Z, Y ) ) ) ] )
% 215.61/216.02  , clause( 5, [ =( apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ), apply( 
% 215.61/216.02    apply( apply( abstraction, X ), Y ), Z ) ) ] )
% 215.61/216.02  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  paramod(
% 215.61/216.02  clause( 106469, [ =( apply( apply( apply( abstraction, X ), apply( k, Y ) )
% 215.61/216.02    , Z ), apply( apply( X, apply( k, Z ) ), Y ) ) ] )
% 215.61/216.02  , clause( 0, [ =( apply( apply( k, X ), Y ), X ) ] )
% 215.61/216.02  , 0, clause( 106464, [ =( apply( apply( apply( abstraction, X ), Z ), Y ), 
% 215.61/216.02    apply( apply( X, apply( k, Y ) ), apply( Z, Y ) ) ) ] )
% 215.61/216.02  , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 215.61/216.02    :=( X, X ), :=( Y, Z ), :=( Z, apply( k, Y ) )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  subsumption(
% 215.61/216.02  clause( 116, [ =( apply( apply( apply( abstraction, Z ), apply( k, X ) ), Y
% 215.61/216.02     ), apply( apply( Z, apply( k, Y ) ), X ) ) ] )
% 215.61/216.02  , clause( 106469, [ =( apply( apply( apply( abstraction, X ), apply( k, Y )
% 215.61/216.02     ), Z ), apply( apply( X, apply( k, Z ) ), Y ) ) ] )
% 215.61/216.02  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 215.61/216.02    permutation( 0, [ ==>( 0, 0 )] ) ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  eqswap(
% 215.61/216.02  clause( 106474, [ =( apply( apply( X, apply( k, Z ) ), Y ), apply( apply( 
% 215.61/216.02    apply( abstraction, X ), apply( k, Y ) ), Z ) ) ] )
% 215.61/216.02  , clause( 116, [ =( apply( apply( apply( abstraction, Z ), apply( k, X ) )
% 215.61/216.02    , Y ), apply( apply( Z, apply( k, Y ) ), X ) ) ] )
% 215.61/216.02  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  paramod(
% 215.61/216.02  clause( 106484, [ =( apply( apply( apply( k, X ), apply( k, Y ) ), X ), 
% 215.61/216.02    apply( apply( apply( apply( abstraction, abstraction ), k ), X ), Y ) ) ]
% 215.61/216.02     )
% 215.61/216.02  , clause( 5, [ =( apply( apply( X, apply( k, Z ) ), apply( Y, Z ) ), apply( 
% 215.61/216.02    apply( apply( abstraction, X ), Y ), Z ) ) ] )
% 215.61/216.02  , 0, clause( 106474, [ =( apply( apply( X, apply( k, Z ) ), Y ), apply( 
% 215.61/216.02    apply( apply( abstraction, X ), apply( k, Y ) ), Z ) ) ] )
% 215.61/216.02  , 0, 11, substitution( 0, [ :=( X, abstraction ), :=( Y, k ), :=( Z, X )] )
% 215.61/216.02    , substitution( 1, [ :=( X, apply( k, X ) ), :=( Y, X ), :=( Z, Y )] )
% 215.61/216.02    ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  paramod(
% 215.61/216.02  clause( 106485, [ =( apply( X, X ), apply( apply( apply( apply( abstraction
% 215.61/216.02    , abstraction ), k ), X ), Y ) ) ] )
% 215.61/216.02  , clause( 0, [ =( apply( apply( k, X ), Y ), X ) ] )
% 215.61/216.02  , 0, clause( 106484, [ =( apply( apply( apply( k, X ), apply( k, Y ) ), X )
% 215.61/216.02    , apply( apply( apply( apply( abstraction, abstraction ), k ), X ), Y ) )
% 215.61/216.02     ] )
% 215.61/216.02  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, apply( k, Y ) )] ), 
% 215.61/216.02    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  eqswap(
% 215.61/216.02  clause( 106486, [ =( apply( apply( apply( apply( abstraction, abstraction )
% 215.61/216.02    , k ), X ), Y ), apply( X, X ) ) ] )
% 215.61/216.02  , clause( 106485, [ =( apply( X, X ), apply( apply( apply( apply( 
% 215.61/216.02    abstraction, abstraction ), k ), X ), Y ) ) ] )
% 215.61/216.02  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  subsumption(
% 215.61/216.02  clause( 3509, [ =( apply( apply( apply( apply( abstraction, abstraction ), 
% 215.61/216.02    k ), X ), Y ), apply( X, X ) ) ] )
% 215.61/216.02  , clause( 106486, [ =( apply( apply( apply( apply( abstraction, abstraction
% 215.61/216.02     ), k ), X ), Y ), apply( X, X ) ) ] )
% 215.61/216.02  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 215.61/216.02     )] ) ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  eqswap(
% 215.61/216.02  clause( 106488, [ ~( =( apply( b( X ), b( X ) ), apply( apply( X, b( X ) )
% 215.61/216.02    , c( X ) ) ) ) ] )
% 215.61/216.02  , clause( 10, [ ~( =( apply( apply( X, b( X ) ), c( X ) ), apply( b( X ), b( 
% 215.61/216.02    X ) ) ) ) ] )
% 215.61/216.02  , 0, substitution( 0, [ :=( X, X )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  paramod(
% 215.61/216.02  clause( 106511, [ ~( =( apply( b( apply( apply( abstraction, abstraction )
% 215.61/216.02    , k ) ), b( apply( apply( abstraction, abstraction ), k ) ) ), apply( b( 
% 215.61/216.02    apply( apply( abstraction, abstraction ), k ) ), b( apply( apply( 
% 215.61/216.02    abstraction, abstraction ), k ) ) ) ) ) ] )
% 215.61/216.02  , clause( 3509, [ =( apply( apply( apply( apply( abstraction, abstraction )
% 215.61/216.02    , k ), X ), Y ), apply( X, X ) ) ] )
% 215.61/216.02  , 0, clause( 106488, [ ~( =( apply( b( X ), b( X ) ), apply( apply( X, b( X
% 215.61/216.02     ) ), c( X ) ) ) ) ] )
% 215.61/216.02  , 0, 15, substitution( 0, [ :=( X, b( apply( apply( abstraction, 
% 215.61/216.02    abstraction ), k ) ) ), :=( Y, c( apply( apply( abstraction, abstraction
% 215.61/216.02     ), k ) ) )] ), substitution( 1, [ :=( X, apply( apply( abstraction, 
% 215.61/216.02    abstraction ), k ) )] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  eqrefl(
% 215.61/216.02  clause( 106513, [] )
% 215.61/216.02  , clause( 106511, [ ~( =( apply( b( apply( apply( abstraction, abstraction
% 215.61/216.02     ), k ) ), b( apply( apply( abstraction, abstraction ), k ) ) ), apply( b( 
% 215.61/216.02    apply( apply( abstraction, abstraction ), k ) ), b( apply( apply( 
% 215.61/216.02    abstraction, abstraction ), k ) ) ) ) ) ] )
% 215.61/216.02  , 0, substitution( 0, [] )).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  subsumption(
% 215.61/216.02  clause( 106428, [] )
% 215.61/216.02  , clause( 106513, [] )
% 215.61/216.02  , substitution( 0, [] ), permutation( 0, [] ) ).
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  end.
% 215.61/216.02  
% 215.61/216.02  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 215.61/216.02  
% 215.61/216.02  Memory use:
% 215.61/216.02  
% 215.61/216.02  space for terms:        1624523
% 215.61/216.02  space for clauses:      5503745
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  clauses generated:      5860109
% 215.61/216.02  clauses kept:           106429
% 215.61/216.02  clauses selected:       5741
% 215.61/216.02  clauses deleted:        27264
% 215.61/216.02  clauses inuse deleted:  875
% 215.61/216.02  
% 215.61/216.02  subsentry:          37329096
% 215.61/216.02  literals s-matched: 8371900
% 215.61/216.02  literals matched:   6920983
% 215.61/216.02  full subsumption:   3774164
% 215.61/216.02  
% 215.61/216.02  checksum:           -206646738
% 215.61/216.02  
% 215.61/216.02  
% 215.61/216.02  Bliksem ended
%------------------------------------------------------------------------------