TSTP Solution File: LCL127-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL127-1 : TPTP v8.1.0. Released v1.0.0.
% 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 07:50:44 EDT 2022

% Result   : Unsatisfiable 77.12s 77.52s
% Output   : Refutation 77.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL127-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sun Jul  3 08:29:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 5.03/5.41  *** allocated 10000 integers for termspace/termends
% 5.03/5.41  *** allocated 10000 integers for clauses
% 5.03/5.41  *** allocated 10000 integers for justifications
% 5.03/5.41  Bliksem 1.12
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Automatic Strategy Selection
% 5.03/5.41  
% 5.03/5.41  Clauses:
% 5.03/5.41  [
% 5.03/5.41     [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~( 'is_a_theorem'( X ) ), 
% 5.03/5.41    'is_a_theorem'( Y ) ],
% 5.03/5.41     [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z ) ), 
% 5.03/5.41    equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ) )
% 5.03/5.41     ],
% 5.03/5.41     [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent( 
% 5.03/5.41    equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 5.03/5.41     ) ) ) ) ) ]
% 5.03/5.41  ] .
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  percentage equality = 0.000000, percentage horn = 1.000000
% 5.03/5.41  This is a near-Horn, non-equality  problem
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Options Used:
% 5.03/5.41  
% 5.03/5.41  useres =            1
% 5.03/5.41  useparamod =        0
% 5.03/5.41  useeqrefl =         0
% 5.03/5.41  useeqfact =         0
% 5.03/5.41  usefactor =         1
% 5.03/5.41  usesimpsplitting =  0
% 5.03/5.41  usesimpdemod =      0
% 5.03/5.41  usesimpres =        4
% 5.03/5.41  
% 5.03/5.41  resimpinuse      =  1000
% 5.03/5.41  resimpclauses =     20000
% 5.03/5.41  substype =          standard
% 5.03/5.41  backwardsubs =      1
% 5.03/5.41  selectoldest =      5
% 5.03/5.41  
% 5.03/5.41  litorderings [0] =  split
% 5.03/5.41  litorderings [1] =  liftord
% 5.03/5.41  
% 5.03/5.41  termordering =      none
% 5.03/5.41  
% 5.03/5.41  litapriori =        1
% 5.03/5.41  termapriori =       0
% 5.03/5.41  litaposteriori =    0
% 5.03/5.41  termaposteriori =   0
% 5.03/5.41  demodaposteriori =  0
% 5.03/5.41  ordereqreflfact =   0
% 5.03/5.41  
% 5.03/5.41  litselect =         negative
% 5.03/5.41  
% 5.03/5.41  maxweight =         30000
% 5.03/5.41  maxdepth =          30000
% 5.03/5.41  maxlength =         115
% 5.03/5.41  maxnrvars =         195
% 5.03/5.41  excuselevel =       0
% 5.03/5.41  increasemaxweight = 0
% 5.03/5.41  
% 5.03/5.41  maxselected =       10000000
% 5.03/5.41  maxnrclauses =      10000000
% 5.03/5.41  
% 5.03/5.41  showgenerated =    0
% 5.03/5.41  showkept =         0
% 5.03/5.41  showselected =     0
% 5.03/5.41  showdeleted =      0
% 5.03/5.41  showresimp =       1
% 5.03/5.41  showstatus =       2000
% 5.03/5.41  
% 5.03/5.41  prologoutput =     1
% 5.03/5.41  nrgoals =          5000000
% 5.03/5.41  totalproof =       1
% 5.03/5.41  
% 5.03/5.41  Symbols occurring in the translation:
% 5.03/5.41  
% 5.03/5.41  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.03/5.41  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 5.03/5.41  !  [4, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 5.03/5.41  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.03/5.41  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.03/5.41  equivalent  [41, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 5.03/5.41  'is_a_theorem'  [42, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 5.03/5.41  a  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 5.03/5.41  b  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 5.03/5.41  c  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 5.03/5.41  e  [48, 0]      (w:1, o:16, a:1, s:1, b:0).
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Starting Search:
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    4852
% 5.03/5.41  Kept:         2030
% 5.03/5.41  Inuse:        240
% 5.03/5.41  Deleted:      12
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    8606
% 5.03/5.41  Kept:         4031
% 5.03/5.41  Inuse:        351
% 5.03/5.41  Deleted:      13
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    13902
% 5.03/5.41  Kept:         6153
% 5.03/5.41  Inuse:        414
% 5.03/5.41  Deleted:      13
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    18815
% 5.03/5.41  Kept:         8175
% 5.03/5.41  Inuse:        511
% 5.03/5.41  Deleted:      13
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    23938
% 5.03/5.41  Kept:         10186
% 5.03/5.41  Inuse:        605
% 5.03/5.41  Deleted:      13
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    30279
% 5.03/5.41  Kept:         12239
% 5.03/5.41  Inuse:        704
% 5.03/5.41  Deleted:      13
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    40542
% 5.03/5.41  Kept:         14241
% 5.03/5.41  Inuse:        917
% 5.03/5.41  Deleted:      17
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    46523
% 5.03/5.41  Kept:         16252
% 5.03/5.41  Inuse:        1028
% 5.03/5.41  Deleted:      17
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    50807
% 5.03/5.41  Kept:         18286
% 5.03/5.41  Inuse:        1103
% 5.03/5.41  Deleted:      17
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying clauses:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    56092
% 5.03/5.41  Kept:         20315
% 5.03/5.41  Inuse:        1234
% 5.03/5.41  Deleted:      83
% 5.03/5.41  Deletedinuse: 6
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  Resimplifying inuse:
% 5.03/5.41  Done
% 5.03/5.41  
% 5.03/5.41  
% 5.03/5.41  Intermediate Status:
% 5.03/5.41  Generated:    63725
% 5.03/5.41  Kept:         22331
% 5.03/5.41  Inuse:        1346
% 5.03/5.41  Deleted:      83
% 5.03/5.41  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    69484
% 10.93/11.30  Kept:         24349
% 10.93/11.30  Inuse:        1404
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    75243
% 10.93/11.30  Kept:         26357
% 10.93/11.30  Inuse:        1471
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    80497
% 10.93/11.30  Kept:         28387
% 10.93/11.30  Inuse:        1506
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    87504
% 10.93/11.30  Kept:         30387
% 10.93/11.30  Inuse:        1596
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    94334
% 10.93/11.30  Kept:         32452
% 10.93/11.30  Inuse:        1710
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    102785
% 10.93/11.30  Kept:         34525
% 10.93/11.30  Inuse:        1791
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    106362
% 10.93/11.30  Kept:         36548
% 10.93/11.30  Inuse:        1823
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    110743
% 10.93/11.30  Kept:         38606
% 10.93/11.30  Inuse:        1871
% 10.93/11.30  Deleted:      83
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying clauses:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    119011
% 10.93/11.30  Kept:         40635
% 10.93/11.30  Inuse:        1917
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    125822
% 10.93/11.30  Kept:         42635
% 10.93/11.30  Inuse:        2025
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    133739
% 10.93/11.30  Kept:         44873
% 10.93/11.30  Inuse:        2100
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    141840
% 10.93/11.30  Kept:         46954
% 10.93/11.30  Inuse:        2186
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    149414
% 10.93/11.30  Kept:         49374
% 10.93/11.30  Inuse:        2240
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    158548
% 10.93/11.30  Kept:         52013
% 10.93/11.30  Inuse:        2310
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    164571
% 10.93/11.30  Kept:         54362
% 10.93/11.30  Inuse:        2350
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    174342
% 10.93/11.30  Kept:         56386
% 10.93/11.30  Inuse:        2484
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    179328
% 10.93/11.30  Kept:         58394
% 10.93/11.30  Inuse:        2527
% 10.93/11.30  Deleted:      120
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying clauses:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    186591
% 10.93/11.30  Kept:         60456
% 10.93/11.30  Inuse:        2608
% 10.93/11.30  Deleted:      205
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    192615
% 10.93/11.30  Kept:         63007
% 10.93/11.30  Inuse:        2645
% 10.93/11.30  Deleted:      205
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    200021
% 10.93/11.30  Kept:         65079
% 10.93/11.30  Inuse:        2699
% 10.93/11.30  Deleted:      205
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    208733
% 10.93/11.30  Kept:         67082
% 10.93/11.30  Inuse:        2822
% 10.93/11.30  Deleted:      205
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    218806
% 10.93/11.30  Kept:         69110
% 10.93/11.30  Inuse:        2926
% 10.93/11.30  Deleted:      205
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    226533
% 10.93/11.30  Kept:         71850
% 10.93/11.30  Inuse:        2980
% 10.93/11.30  Deleted:      205
% 10.93/11.30  Deletedinuse: 6
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  Resimplifying inuse:
% 10.93/11.30  Done
% 10.93/11.30  
% 10.93/11.30  
% 10.93/11.30  Intermediate Status:
% 10.93/11.30  Generated:    235316
% 10.93/11.30  Kept:         74433
% 19.23/19.63  Inuse:        3040
% 19.23/19.63  Deleted:      205
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    244449
% 19.23/19.63  Kept:         76727
% 19.23/19.63  Inuse:        3090
% 19.23/19.63  Deleted:      205
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    250828
% 19.23/19.63  Kept:         79184
% 19.23/19.63  Inuse:        3140
% 19.23/19.63  Deleted:      205
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying clauses:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    257476
% 19.23/19.63  Kept:         81188
% 19.23/19.63  Inuse:        3165
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    261693
% 19.23/19.63  Kept:         83204
% 19.23/19.63  Inuse:        3221
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    265821
% 19.23/19.63  Kept:         85359
% 19.23/19.63  Inuse:        3240
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    268490
% 19.23/19.63  Kept:         87380
% 19.23/19.63  Inuse:        3264
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    272290
% 19.23/19.63  Kept:         89391
% 19.23/19.63  Inuse:        3310
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    276504
% 19.23/19.63  Kept:         91438
% 19.23/19.63  Inuse:        3329
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    282902
% 19.23/19.63  Kept:         94068
% 19.23/19.63  Inuse:        3370
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    288908
% 19.23/19.63  Kept:         96111
% 19.23/19.63  Inuse:        3422
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    293955
% 19.23/19.63  Kept:         98614
% 19.23/19.63  Inuse:        3445
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    300457
% 19.23/19.63  Kept:         100751
% 19.23/19.63  Inuse:        3465
% 19.23/19.63  Deleted:      270
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying clauses:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    306592
% 19.23/19.63  Kept:         102835
% 19.23/19.63  Inuse:        3496
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    314591
% 19.23/19.63  Kept:         105001
% 19.23/19.63  Inuse:        3540
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    322227
% 19.23/19.63  Kept:         107123
% 19.23/19.63  Inuse:        3582
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    330110
% 19.23/19.63  Kept:         109285
% 19.23/19.63  Inuse:        3595
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    334671
% 19.23/19.63  Kept:         111332
% 19.23/19.63  Inuse:        3623
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    339283
% 19.23/19.63  Kept:         113396
% 19.23/19.63  Inuse:        3642
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    345787
% 19.23/19.63  Kept:         116011
% 19.23/19.63  Inuse:        3685
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    353294
% 19.23/19.63  Kept:         118015
% 19.23/19.63  Inuse:        3738
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    356673
% 19.23/19.63  Kept:         120018
% 19.23/19.63  Inuse:        3768
% 19.23/19.63  Deleted:      283
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying clauses:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    360780
% 19.23/19.63  Kept:         122054
% 19.23/19.63  Inuse:        3804
% 19.23/19.63  Deleted:      321
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    363685
% 19.23/19.63  Kept:         124188
% 19.23/19.63  Inuse:        3831
% 19.23/19.63  Deleted:      321
% 19.23/19.63  Deletedinuse: 6
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  Resimplifying inuse:
% 19.23/19.63  Done
% 19.23/19.63  
% 19.23/19.63  
% 19.23/19.63  Intermediate Status:
% 19.23/19.63  Generated:    368683
% 37.16/37.62  Kept:         126218
% 37.16/37.62  Inuse:        3879
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    374862
% 37.16/37.62  Kept:         128332
% 37.16/37.62  Inuse:        3949
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    380845
% 37.16/37.62  Kept:         130489
% 37.16/37.62  Inuse:        3980
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    390136
% 37.16/37.62  Kept:         132498
% 37.16/37.62  Inuse:        4013
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    393975
% 37.16/37.62  Kept:         134525
% 37.16/37.62  Inuse:        4053
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    399380
% 37.16/37.62  Kept:         136530
% 37.16/37.62  Inuse:        4097
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    402470
% 37.16/37.62  Kept:         138538
% 37.16/37.62  Inuse:        4127
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    406136
% 37.16/37.62  Kept:         140628
% 37.16/37.62  Inuse:        4159
% 37.16/37.62  Deleted:      321
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying clauses:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    409305
% 37.16/37.62  Kept:         142635
% 37.16/37.62  Inuse:        4184
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    416099
% 37.16/37.62  Kept:         144984
% 37.16/37.62  Inuse:        4200
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    422696
% 37.16/37.62  Kept:         147008
% 37.16/37.62  Inuse:        4254
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    426841
% 37.16/37.62  Kept:         149257
% 37.16/37.62  Inuse:        4270
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    431911
% 37.16/37.62  Kept:         151288
% 37.16/37.62  Inuse:        4324
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    435360
% 37.16/37.62  Kept:         153350
% 37.16/37.62  Inuse:        4354
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    438456
% 37.16/37.62  Kept:         155418
% 37.16/37.62  Inuse:        4359
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    442601
% 37.16/37.62  Kept:         157551
% 37.16/37.62  Inuse:        4374
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    446109
% 37.16/37.62  Kept:         159586
% 37.16/37.62  Inuse:        4405
% 37.16/37.62  Deleted:      338
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying clauses:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    451723
% 37.16/37.62  Kept:         161628
% 37.16/37.62  Inuse:        4455
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    456660
% 37.16/37.62  Kept:         163655
% 37.16/37.62  Inuse:        4470
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    459980
% 37.16/37.62  Kept:         165661
% 37.16/37.62  Inuse:        4496
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    467271
% 37.16/37.62  Kept:         167994
% 37.16/37.62  Inuse:        4510
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    473834
% 37.16/37.62  Kept:         170125
% 37.16/37.62  Inuse:        4521
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    479363
% 37.16/37.62  Kept:         172145
% 37.16/37.62  Inuse:        4545
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    484284
% 37.16/37.62  Kept:         174225
% 37.16/37.62  Inuse:        4565
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 37.16/37.62  Generated:    489870
% 37.16/37.62  Kept:         176279
% 37.16/37.62  Inuse:        4589
% 37.16/37.62  Deleted:      347
% 37.16/37.62  Deletedinuse: 6
% 37.16/37.62  
% 37.16/37.62  Resimplifying inuse:
% 37.16/37.62  Done
% 37.16/37.62  
% 37.16/37.62  
% 37.16/37.62  Intermediate Status:
% 58.07/58.46  Generated:    495832
% 58.07/58.46  Kept:         178637
% 58.07/58.46  Inuse:        4625
% 58.07/58.46  Deleted:      347
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    505847
% 58.07/58.46  Kept:         181516
% 58.07/58.46  Inuse:        4680
% 58.07/58.46  Deleted:      347
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying clauses:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    514280
% 58.07/58.46  Kept:         184127
% 58.07/58.46  Inuse:        4730
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    520914
% 58.07/58.46  Kept:         186288
% 58.07/58.46  Inuse:        4780
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    529488
% 58.07/58.46  Kept:         189224
% 58.07/58.46  Inuse:        4830
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    540827
% 58.07/58.46  Kept:         192122
% 58.07/58.46  Inuse:        4885
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    551612
% 58.07/58.46  Kept:         194240
% 58.07/58.46  Inuse:        4900
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    559738
% 58.07/58.46  Kept:         196332
% 58.07/58.46  Inuse:        4980
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    575429
% 58.07/58.46  Kept:         198585
% 58.07/58.46  Inuse:        5105
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    583271
% 58.07/58.46  Kept:         200641
% 58.07/58.46  Inuse:        5115
% 58.07/58.46  Deleted:      369
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying clauses:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    588574
% 58.07/58.46  Kept:         202668
% 58.07/58.46  Inuse:        5166
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    593411
% 58.07/58.46  Kept:         204723
% 58.07/58.46  Inuse:        5183
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    605377
% 58.07/58.46  Kept:         207659
% 58.07/58.46  Inuse:        5225
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    611082
% 58.07/58.46  Kept:         209748
% 58.07/58.46  Inuse:        5250
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    620102
% 58.07/58.46  Kept:         211779
% 58.07/58.46  Inuse:        5264
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    624449
% 58.07/58.46  Kept:         213882
% 58.07/58.46  Inuse:        5284
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    632307
% 58.07/58.46  Kept:         216003
% 58.07/58.46  Inuse:        5331
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    640801
% 58.07/58.46  Kept:         218759
% 58.07/58.46  Inuse:        5340
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    648038
% 58.07/58.46  Kept:         221692
% 58.07/58.46  Inuse:        5350
% 58.07/58.46  Deleted:      385
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying clauses:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    656808
% 58.07/58.46  Kept:         223700
% 58.07/58.46  Inuse:        5373
% 58.07/58.46  Deleted:      391
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    663715
% 58.07/58.46  Kept:         226297
% 58.07/58.46  Inuse:        5415
% 58.07/58.46  Deleted:      391
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    672467
% 58.07/58.46  Kept:         229249
% 58.07/58.46  Inuse:        5425
% 58.07/58.46  Deleted:      391
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    680161
% 58.07/58.46  Kept:         231472
% 58.07/58.46  Inuse:        5435
% 58.07/58.46  Deleted:      391
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    685466
% 58.07/58.46  Kept:         233521
% 58.07/58.46  Inuse:        5453
% 58.07/58.46  Deleted:      391
% 58.07/58.46  Deletedinuse: 6
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  Resimplifying inuse:
% 58.07/58.46  Done
% 58.07/58.46  
% 58.07/58.46  
% 58.07/58.46  Intermediate Status:
% 58.07/58.46  Generated:    689198
% 77.12/77.52  Kept:         235605
% 77.12/77.52  Inuse:        5491
% 77.12/77.52  Deleted:      391
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    692140
% 77.12/77.52  Kept:         237736
% 77.12/77.52  Inuse:        5511
% 77.12/77.52  Deleted:      391
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    697657
% 77.12/77.52  Kept:         240903
% 77.12/77.52  Inuse:        5525
% 77.12/77.52  Deleted:      391
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    701604
% 77.12/77.52  Kept:         242903
% 77.12/77.52  Inuse:        5530
% 77.12/77.52  Deleted:      391
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying clauses:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    708181
% 77.12/77.52  Kept:         244947
% 77.12/77.52  Inuse:        5563
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    710556
% 77.12/77.52  Kept:         246951
% 77.12/77.52  Inuse:        5578
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    717593
% 77.12/77.52  Kept:         249220
% 77.12/77.52  Inuse:        5620
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    722336
% 77.12/77.52  Kept:         251369
% 77.12/77.52  Inuse:        5664
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    733464
% 77.12/77.52  Kept:         254171
% 77.12/77.52  Inuse:        5690
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    736732
% 77.12/77.52  Kept:         256191
% 77.12/77.52  Inuse:        5719
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    740022
% 77.12/77.52  Kept:         258247
% 77.12/77.52  Inuse:        5746
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    742884
% 77.12/77.52  Kept:         260270
% 77.12/77.52  Inuse:        5769
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    748299
% 77.12/77.52  Kept:         262427
% 77.12/77.52  Inuse:        5814
% 77.12/77.52  Deleted:      396
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying clauses:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    750954
% 77.12/77.52  Kept:         264436
% 77.12/77.52  Inuse:        5831
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    753998
% 77.12/77.52  Kept:         266511
% 77.12/77.52  Inuse:        5849
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    758789
% 77.12/77.52  Kept:         268697
% 77.12/77.52  Inuse:        5891
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    761753
% 77.12/77.52  Kept:         270765
% 77.12/77.52  Inuse:        5911
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    766671
% 77.12/77.52  Kept:         272931
% 77.12/77.52  Inuse:        5949
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    770456
% 77.12/77.52  Kept:         274938
% 77.12/77.52  Inuse:        5977
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    774532
% 77.12/77.52  Kept:         276943
% 77.12/77.52  Inuse:        6005
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    780904
% 77.12/77.52  Kept:         279364
% 77.12/77.52  Inuse:        6035
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    785874
% 77.12/77.52  Kept:         281480
% 77.12/77.52  Inuse:        6074
% 77.12/77.52  Deleted:      397
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying clauses:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    789513
% 77.12/77.52  Kept:         283621
% 77.12/77.52  Inuse:        6096
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    792100
% 77.12/77.52  Kept:         285656
% 77.12/77.52  Inuse:        6113
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    796033
% 77.12/77.52  Kept:         287728
% 77.12/77.52  Inuse:        6144
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    803719
% 77.12/77.52  Kept:         289777
% 77.12/77.52  Inuse:        6214
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    809868
% 77.12/77.52  Kept:         291858
% 77.12/77.52  Inuse:        6274
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    814322
% 77.12/77.52  Kept:         293911
% 77.12/77.52  Inuse:        6306
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    817841
% 77.12/77.52  Kept:         295967
% 77.12/77.52  Inuse:        6337
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    820274
% 77.12/77.52  Kept:         298131
% 77.12/77.52  Inuse:        6352
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    823481
% 77.12/77.52  Kept:         300134
% 77.12/77.52  Inuse:        6378
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    826763
% 77.12/77.52  Kept:         302259
% 77.12/77.52  Inuse:        6401
% 77.12/77.52  Deleted:      421
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying clauses:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    830920
% 77.12/77.52  Kept:         304351
% 77.12/77.52  Inuse:        6447
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    837296
% 77.12/77.52  Kept:         307583
% 77.12/77.52  Inuse:        6460
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    839819
% 77.12/77.52  Kept:         309644
% 77.12/77.52  Inuse:        6474
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    842257
% 77.12/77.52  Kept:         311666
% 77.12/77.52  Inuse:        6489
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    845716
% 77.12/77.52  Kept:         313962
% 77.12/77.52  Inuse:        6492
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    852131
% 77.12/77.52  Kept:         316060
% 77.12/77.52  Inuse:        6512
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    856013
% 77.12/77.52  Kept:         318074
% 77.12/77.52  Inuse:        6542
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    859476
% 77.12/77.52  Kept:         320110
% 77.12/77.52  Inuse:        6569
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    864337
% 77.12/77.52  Kept:         323002
% 77.12/77.52  Inuse:        6586
% 77.12/77.52  Deleted:      426
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying clauses:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    870468
% 77.12/77.52  Kept:         326373
% 77.12/77.52  Inuse:        6605
% 77.12/77.52  Deleted:      435
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    874283
% 77.12/77.52  Kept:         328521
% 77.12/77.52  Inuse:        6632
% 77.12/77.52  Deleted:      435
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    879917
% 77.12/77.52  Kept:         331937
% 77.12/77.52  Inuse:        6648
% 77.12/77.52  Deleted:      435
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    884076
% 77.12/77.52  Kept:         334337
% 77.12/77.52  Inuse:        6656
% 77.12/77.52  Deleted:      435
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  Done
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  Intermediate Status:
% 77.12/77.52  Generated:    887910
% 77.12/77.52  Kept:         336355
% 77.12/77.52  Inuse:        6658
% 77.12/77.52  Deleted:      435
% 77.12/77.52  Deletedinuse: 6
% 77.12/77.52  
% 77.12/77.52  Resimplifying inuse:
% 77.12/77.52  
% 77.12/77.52  Bliksems!, er is een bewijs:
% 77.12/77.52  % SZS status Unsatisfiable
% 77.12/77.52  % SZS output start Refutation
% 77.12/77.52  
% 77.12/77.52  clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y )
% 77.12/77.52    , ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 77.12/77.52     ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) )
% 77.12/77.52     ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 2, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent( 
% 77.12/77.52    equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 77.12/77.52     ), equivalent( equivalent( X, T ), equivalent( equivalent( equivalent( Y
% 77.12/77.52    , U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 5, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 6, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( equivalent( X, T ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, U ), equivalent( Z, U ) ), T ) ) )
% 77.12/77.52    , W ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ) )
% 77.12/77.52     ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 8, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, U ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, W ), equivalent( Z, W ) ), U ) ), T ) ), V0 ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 9, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Z, T ), equivalent( U, T ) ), Y ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ), V0 ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 10, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), 
% 77.12/77.52    equivalent( equivalent( X, W ), equivalent( equivalent( equivalent( Z, V0
% 77.12/77.52     ), equivalent( U, V0 ) ), W ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 20, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, U ), equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) )
% 77.12/77.52    , U ) ), V0 ), equivalent( T, V0 ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 23, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), W ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Z, V0 ), equivalent( U, V0 ) ) ), W ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 37, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 43, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 44, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T
% 77.12/77.52    , Z ) ) ), equivalent( X, equivalent( equivalent( Y, U ), equivalent( T, 
% 77.12/77.52    U ) ) ) ), W ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 45, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 77.12/77.52     ), equivalent( equivalent( X, Y ), Z ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 46, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    T, Y ) ), equivalent( equivalent( X, U ), equivalent( equivalent( T, Z )
% 77.12/77.52    , U ) ) ), W ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 53, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 57, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 77.12/77.52     ), equivalent( equivalent( equivalent( X, Y ), T ), equivalent( Z, T ) )
% 77.12/77.52     ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 65, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 69, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( Z, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 78, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( Z, T ), equivalent( U, T ) ) ), equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, U ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 82, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 87, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( X
% 77.12/77.52    , Y ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 88, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), 
% 77.12/77.52    equivalent( X, Z ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 89, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 97, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ), 
% 77.12/77.52    equivalent( Y, Z ) ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 135, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Z ), T ), equivalent( equivalent( Y, Z ), T )
% 77.12/77.52     ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 150, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 152, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X, Z
% 77.12/77.52     ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 165, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 77.12/77.52     ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 181, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Y
% 77.12/77.52     ) ), X ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 183, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 188, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Y ) ), Z ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 190, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ), Z ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 205, [ 'is_a_theorem'( equivalent( X, equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( Z, Z ), Y ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 242, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( equivalent( X, Y ), equivalent( equivalent( Z
% 77.12/77.52    , Z ), Y ) ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 901, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, 
% 77.12/77.52    equivalent( Z, Z ) ) ), equivalent( X, Y ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 908, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, equivalent( Z, Z ) ) ), 
% 77.12/77.52    equivalent( X, Y ) ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 958, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z
% 77.12/77.52     ) ), equivalent( equivalent( X, equivalent( T, Z ) ), equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 1950, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( equivalent( T, T ), Z ) ) ), equivalent( 
% 77.12/77.52    X, Y ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 2442, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 2449, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    Z, Y ) ), X ), T ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 10598, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 77.12/77.52    , Z ), equivalent( equivalent( X, T ), equivalent( Z, equivalent( T, Y )
% 77.12/77.52     ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 10619, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 10650, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( X, equivalent( T, equivalent( Z, Y ) ) ) ), U ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 14255, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, 
% 77.12/77.52    equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, T ), U ), equivalent( Y, U ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 14602, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), 
% 77.12/77.52    equivalent( T, Y ) ), U ), equivalent( X, U ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 335171, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 77.12/77.52     ) ) ) ) ] )
% 77.12/77.52  .
% 77.12/77.52  clause( 336355, [] )
% 77.12/77.52  .
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  % SZS output end Refutation
% 77.12/77.52  found a proof!
% 77.12/77.52  
% 77.12/77.52  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 77.12/77.52  
% 77.12/77.52  initialclauses(
% 77.12/77.52  [ clause( 336357, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~( 
% 77.12/77.52    'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 77.12/77.52  , clause( 336358, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , clause( 336359, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, 
% 77.12/77.52    equivalent( equivalent( b, c ), equivalent( equivalent( b, e ), 
% 77.12/77.52    equivalent( c, e ) ) ) ) ) ) ) ] )
% 77.12/77.52  ] ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y )
% 77.12/77.52    , ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , clause( 336357, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), ~( 
% 77.12/77.52    'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 77.12/77.52     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 77.12/77.52     ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) ) )
% 77.12/77.52     ) ) ] )
% 77.12/77.52  , clause( 336358, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 2, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent( 
% 77.12/77.52    equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , clause( 336359, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, 
% 77.12/77.52    equivalent( equivalent( b, c ), equivalent( equivalent( b, e ), 
% 77.12/77.52    equivalent( c, e ) ) ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336361, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( Y, Z ) ), equivalent( X, equivalent( equivalent( Y, T ), 
% 77.12/77.52    equivalent( Z, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( Y, Z
% 77.12/77.52     ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 77.12/77.52     ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, 
% 77.12/77.52    Z ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , clause( 336361, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, equivalent( Y, Z ) ), equivalent( X, equivalent( equivalent( Y, T ), 
% 77.12/77.52    equivalent( Z, T ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336362, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( equivalent( X, T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), 
% 77.12/77.52    :=( U, equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    equivalent( X, T ), equivalent( equivalent( equivalent( Y, U ), 
% 77.12/77.52    equivalent( Z, U ) ), T ) ) ) )] ), substitution( 1, [ :=( X, equivalent( 
% 77.12/77.52    X, equivalent( Y, Z ) ) ), :=( Y, X ), :=( Z, equivalent( equivalent( Y, 
% 77.12/77.52    U ), equivalent( Z, U ) ) ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z )
% 77.12/77.52     ), equivalent( equivalent( X, T ), equivalent( equivalent( equivalent( Y
% 77.12/77.52    , U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 77.12/77.52  , clause( 336362, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Z ) ), equivalent( equivalent( X, T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336363, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( equivalent( X, T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, W ), 
% 77.12/77.52    :=( U, equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, U ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, W ), equivalent( Z, W ) ), U ) ), T ) ) )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, equivalent( X, equivalent( Y, Z ) ) ), :=( Y, X
% 77.12/77.52     ), :=( Z, equivalent( equivalent( Y, W ), equivalent( Z, W ) ) ), :=( T
% 77.12/77.52    , T ), :=( U, U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 5, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  , clause( 336363, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336365, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( Y, Z ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ), W ) ) ), 
% 77.12/77.52    'is_a_theorem'( W ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 4, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( equivalent( X, T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( Y, Z
% 77.12/77.52     ) ), equivalent( equivalent( X, T ), equivalent( equivalent( equivalent( 
% 77.12/77.52    Y, U ), equivalent( Z, U ) ), T ) ) ) ), :=( Y, W )] ), substitution( 1
% 77.12/77.52    , [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 6, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( equivalent( X, T ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, U ), equivalent( Z, U ) ), T ) ) )
% 77.12/77.52    , W ) ) ) ] )
% 77.12/77.52  , clause( 336365, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, equivalent( Y, Z ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( equivalent( Y, U ), equivalent( Z, U ) ), T ) ) ), W ) ) ), 
% 77.12/77.52    'is_a_theorem'( W ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336366, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y )
% 77.12/77.52     ), equivalent( X, equivalent( equivalent( Z, W ), equivalent( U, W ) ) )
% 77.12/77.52     ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 5, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, U ), :=( T, W ), 
% 77.12/77.52    :=( U, equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Z, T ), equivalent( U, T ) ), Y ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ) )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, U ), :=( T, equivalent( 
% 77.12/77.52    X, equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ), :=( U, Y ), 
% 77.12/77.52    :=( W, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ) )
% 77.12/77.52     ] )
% 77.12/77.52  , clause( 336366, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y
% 77.12/77.52     ) ), equivalent( X, equivalent( equivalent( Z, W ), equivalent( U, W ) )
% 77.12/77.52     ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336368, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( equivalent( equivalent( Y, W ), 
% 77.12/77.52    equivalent( Z, W ) ), U ) ), T ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 5, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 77.12/77.52    , Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 8, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, U ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, W ), equivalent( Z, W ) ), U ) ), T ) ), V0 ) ) ) ] )
% 77.12/77.52  , clause( 336368, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( equivalent( equivalent( Y, W ), 
% 77.12/77.52    equivalent( Z, W ) ), U ) ), T ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 77.12/77.52    , 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336370, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), equivalent( X, equivalent( equivalent( Z, W
% 77.12/77.52     ), equivalent( U, W ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 7, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y )
% 77.12/77.52     ), equivalent( X, equivalent( equivalent( Z, W ), equivalent( U, W ) ) )
% 77.12/77.52     ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ) )
% 77.12/77.52    , :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), 
% 77.12/77.52    :=( T, T ), :=( U, U ), :=( W, W )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 9, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Z, T ), equivalent( U, T ) ), Y ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ), V0 ) ) ) ] )
% 77.12/77.52  , clause( 336370, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), equivalent( X, equivalent( equivalent( Z, W
% 77.12/77.52     ), equivalent( U, W ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 77.12/77.52    , 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336371, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y )
% 77.12/77.52     ), equivalent( equivalent( X, W ), equivalent( equivalent( equivalent( Z
% 77.12/77.52    , V0 ), equivalent( U, V0 ) ), W ) ) ) ) ] )
% 77.12/77.52  , clause( 6, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( equivalent( 
% 77.12/77.52    X, T ), equivalent( equivalent( equivalent( Y, U ), equivalent( Z, U ) )
% 77.12/77.52    , T ) ) ), W ) ) ) ] )
% 77.12/77.52  , 1, clause( 5, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( X, U ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) ), U ) ), 
% 77.12/77.52    T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, U ), :=( T, W ), 
% 77.12/77.52    :=( U, V0 ), :=( W, equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), 
% 77.12/77.52    equivalent( equivalent( X, W ), equivalent( equivalent( equivalent( Z, V0
% 77.12/77.52     ), equivalent( U, V0 ) ), W ) ) ) )] ), substitution( 1, [ :=( X, X ), 
% 77.12/77.52    :=( Y, Z ), :=( Z, U ), :=( T, equivalent( equivalent( X, W ), equivalent( 
% 77.12/77.52    equivalent( equivalent( Z, V0 ), equivalent( U, V0 ) ), W ) ) ), :=( U, Y
% 77.12/77.52     ), :=( W, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 10, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), 
% 77.12/77.52    equivalent( equivalent( X, W ), equivalent( equivalent( equivalent( Z, V0
% 77.12/77.52     ), equivalent( U, V0 ) ), W ) ) ) ) ] )
% 77.12/77.52  , clause( 336371, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y
% 77.12/77.52     ) ), equivalent( equivalent( X, W ), equivalent( equivalent( equivalent( 
% 77.12/77.52    Z, V0 ), equivalent( U, V0 ) ), W ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 77.12/77.52     ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336372, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, U ), equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) )
% 77.12/77.52    , U ) ), V0 ), equivalent( T, V0 ) ) ) ) ] )
% 77.12/77.52  , clause( 8, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, U ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Y, W ), equivalent( Z, W ) ), U ) ), T ) ), V0 ) ) ) ] )
% 77.12/77.52  , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), 
% 77.12/77.52    :=( U, U ), :=( W, W ), :=( V0, equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, U ), equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) )
% 77.12/77.52    , U ) ), V0 ), equivalent( T, V0 ) ) ) )] ), substitution( 1, [ :=( X, 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), T ) ), :=( Y, equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( equivalent( equivalent( Y, W ), 
% 77.12/77.52    equivalent( Z, W ) ), U ) ) ), :=( Z, T ), :=( T, V0 )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 20, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, U ), equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) )
% 77.12/77.52    , U ) ), V0 ), equivalent( T, V0 ) ) ) ) ] )
% 77.12/77.52  , clause( 336372, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, U ), equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) )
% 77.12/77.52    , U ) ), V0 ), equivalent( T, V0 ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 77.12/77.52     ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336373, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), W ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Z, V0 ), equivalent( U, V0 ) ) ), W ) ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 20, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, U ), equivalent( equivalent( equivalent( Y, W ), equivalent( Z, W ) )
% 77.12/77.52    , U ) ), V0 ), equivalent( T, V0 ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, U ), :=( T, V0 ), 
% 77.12/77.52    :=( U, equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y ) ), W ), 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Z, V0 ), equivalent( U
% 77.12/77.52    , V0 ) ) ), W ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z
% 77.12/77.52    , U ), :=( T, equivalent( X, equivalent( equivalent( Z, V0 ), equivalent( 
% 77.12/77.52    U, V0 ) ) ) ), :=( U, Y ), :=( W, T ), :=( V0, W )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 23, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), W ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Z, V0 ), equivalent( U, V0 ) ) ), W ) ) ) ] )
% 77.12/77.52  , clause( 336373, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), W ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Z, V0 ), equivalent( U, V0 ) ) ), W ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 77.12/77.52     ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336374, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , clause( 9, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Z, T ), equivalent( U, T ) ), Y ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ), V0 ) ) ) ] )
% 77.12/77.52  , 1, clause( 23, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( equivalent( Z, T ), 
% 77.12/77.52    equivalent( U, T ) ), Y ) ), W ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Z, V0 ), equivalent( U, V0 ) ) ), W ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, W ), :=( Z, Y ), :=( T, V0 ), 
% 77.12/77.52    :=( U, T ), :=( W, U ), :=( V0, equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) )] ), substitution( 1, [ 
% 77.12/77.52    :=( X, X ), :=( Y, W ), :=( Z, Y ), :=( T, V0 ), :=( U, T ), :=( W, 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Y, U ), equivalent( T, U ) ) ) ), 
% 77.12/77.52    :=( V0, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 37, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , clause( 336374, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336375, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 37, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( Y, Z ) ) ), :=( Y
% 77.12/77.52    , T ), :=( Z, Y ), :=( T, Z ), :=( U, equivalent( equivalent( equivalent( 
% 77.12/77.52    X, equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X
% 77.12/77.52    , U ), equivalent( equivalent( T, Z ), U ) ) ) )] ), substitution( 1, [ 
% 77.12/77.52    :=( X, equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( T, Y
% 77.12/77.52     ) ) ), :=( Y, X ), :=( Z, equivalent( Y, Z ) ), :=( T, equivalent( T, Z
% 77.12/77.52     ) ), :=( U, U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 43, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ) ] )
% 77.12/77.52  , clause( 336375, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336377, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, U ), equivalent( T, U ) ) ) ), W ) ) ), 
% 77.12/77.52    'is_a_theorem'( W ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 37, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ), :=( Y, W )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 44, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T
% 77.12/77.52    , Z ) ) ), equivalent( X, equivalent( equivalent( Y, U ), equivalent( T, 
% 77.12/77.52    U ) ) ) ), W ) ) ) ] )
% 77.12/77.52  , clause( 336377, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( X
% 77.12/77.52    , equivalent( equivalent( Y, U ), equivalent( T, U ) ) ) ), W ) ) ), 
% 77.12/77.52    'is_a_theorem'( W ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336378, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), Z ), equivalent( equivalent( X, Y ), Z ) ) ) ] )
% 77.12/77.52  , clause( 9, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( 
% 77.12/77.52    equivalent( Z, T ), equivalent( U, T ) ), Y ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Z, W ), equivalent( U, W ) ) ) ), V0 ) ) ) ] )
% 77.12/77.52  , 1, clause( 43, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, U ), 
% 77.12/77.52    :=( U, W ), :=( W, U ), :=( V0, equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), Z ), equivalent( equivalent( X, Y ), Z ) ) )] ), substitution( 1, [ 
% 77.12/77.52    :=( X, equivalent( X, Y ) ), :=( Y, equivalent( equivalent( T, U ), 
% 77.12/77.52    equivalent( W, U ) ) ), :=( Z, Y ), :=( T, X ), :=( U, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 45, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 77.12/77.52     ), equivalent( equivalent( X, Y ), Z ) ) ) ] )
% 77.12/77.52  , clause( 336378, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), Z ), equivalent( equivalent( X, Y ), Z ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336380, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( equivalent( T, Z ), U ) ) ), W ) ) ), 
% 77.12/77.52    'is_a_theorem'( W ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 43, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( equivalent( X, U
% 77.12/77.52     ), equivalent( equivalent( T, Z ), U ) ) ) ), :=( Y, W )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 46, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    T, Y ) ), equivalent( equivalent( X, U ), equivalent( equivalent( T, Z )
% 77.12/77.52    , U ) ) ), W ) ) ) ] )
% 77.12/77.52  , clause( 336380, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( T, Y ) ), equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( equivalent( T, Z ), U ) ) ), W ) ) ), 
% 77.12/77.52    'is_a_theorem'( W ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336382, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), Z ), equivalent( equivalent( X, Y ), Z ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 45, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), Z ), equivalent( equivalent( X, Y ), Z ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    Z ), equivalent( equivalent( X, Y ), Z ) ) ), :=( Y, T )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336382, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), Z ), equivalent( equivalent( X, Y ), Z ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336383, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 10, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( equivalent( Z, T ), equivalent( U, T ) ), Y )
% 77.12/77.52     ), equivalent( equivalent( X, W ), equivalent( equivalent( equivalent( Z
% 77.12/77.52    , V0 ), equivalent( U, V0 ) ), W ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( X, Y ) ), :=( Y, equivalent( Z, 
% 77.12/77.52    Y ) ), :=( Z, W ), :=( T, equivalent( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( equivalent( X
% 77.12/77.52    , U ), equivalent( Z, U ) ), T ) ) )] ), substitution( 1, [ :=( X, 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( Z, Y ) ) ), :=( Y, W ), :=( Z
% 77.12/77.52    , X ), :=( T, Y ), :=( U, Z ), :=( W, T ), :=( V0, U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 53, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336383, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336384, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), Z ), equivalent( equivalent( equivalent( X, Y ), T ), equivalent( Z, 
% 77.12/77.52    T ) ) ) ) ] )
% 77.12/77.52  , clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), T ), equivalent( Z, T ) ) ) )] ), substitution( 1, [ 
% 77.12/77.52    :=( X, equivalent( equivalent( X, Y ), Z ) ), :=( Y, equivalent( X, Y ) )
% 77.12/77.52    , :=( Z, Z ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 57, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), Z
% 77.12/77.52     ), equivalent( equivalent( equivalent( X, Y ), T ), equivalent( Z, T ) )
% 77.12/77.52     ) ) ] )
% 77.12/77.52  , clause( 336384, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), Z ), equivalent( equivalent( equivalent( X, Y ), T ), equivalent( Z
% 77.12/77.52    , T ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336385, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 57, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), Z ), equivalent( equivalent( equivalent( X, Y ), T ), equivalent( Z, 
% 77.12/77.52    T ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, U ), 
% 77.12/77.52    :=( U, equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Y, U ), equivalent( Z
% 77.12/77.52    , U ) ) ), T ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, equivalent( 
% 77.12/77.52    Y, Z ) ), :=( Z, equivalent( X, equivalent( equivalent( Y, U ), 
% 77.12/77.52    equivalent( Z, U ) ) ) ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 65, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336385, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336386, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( Z, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 53, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, U ), equivalent( Z, U ) ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( X, T ) ), :=( Y, Z ), :=( Z, T )
% 77.12/77.52    , :=( T, U ), :=( U, equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( Z, U ), equivalent( T, U ) ) ) ) )] ), substitution( 1, [ 
% 77.12/77.52    :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, equivalent( equivalent( X, T )
% 77.12/77.52    , equivalent( equivalent( Z, U ), equivalent( T, U ) ) ) ), :=( U, Y )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 69, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( Z, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , clause( 336386, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( Z, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336387, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( Z, T ), equivalent( U, T ) ) ), equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, U ) ) ) ) ] )
% 77.12/77.52  , clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 65, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, equivalent( Z, U ) )
% 77.12/77.52    , :=( T, equivalent( equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( Z, T ), equivalent( U, T ) ) ), equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( Z, U ) ) ) )] ), substitution( 1, [ :=( X, equivalent( X
% 77.12/77.52    , Y ) ), :=( Y, Z ), :=( Z, U ), :=( T, equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, U ) ) ), :=( U, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 78, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( Z, T ), equivalent( U, T ) ) ), equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, U ) ) ) ) ] )
% 77.12/77.52  , clause( 336387, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( equivalent( Z, T ), equivalent( U, T ) ) ), equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, U ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336388, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 78, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( Z, T ), equivalent( U, T ) ) ), equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, U ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, equivalent( Z, Y ) )
% 77.12/77.52    , :=( T, equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) )
% 77.12/77.52    , equivalent( X, Z ) ) )] ), substitution( 1, [ :=( X, equivalent( X, Y )
% 77.12/77.52     ), :=( Y, equivalent( Z, Y ) ), :=( Z, X ), :=( T, Y ), :=( U, Z )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 82, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , clause( 336388, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336389, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , clause( 47, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), Z ), equivalent( equivalent( 
% 77.12/77.52    X, Y ), Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 82, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( X, Y ) ) )] ), substitution( 
% 77.12/77.52    1, [ :=( X, equivalent( X, Y ) ), :=( Y, Z ), :=( Z, equivalent( X, Y ) )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 87, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( X
% 77.12/77.52    , Y ) ) ) ] )
% 77.12/77.52  , clause( 336389, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 77.12/77.52     )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336391, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 82, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( Z, Y ) ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( Z, Y ) ), equivalent( X, Z ) ) ), :=( Y, T )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 88, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), 
% 77.12/77.52    equivalent( X, Z ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336391, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), equivalent( X, Z ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336393, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , Y ), equivalent( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 87, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 89, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 77.12/77.52  , clause( 336393, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, Y ), equivalent( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336394, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  , clause( 89, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( X, Y ) ), Z ) ) ) ] )
% 77.12/77.52  , 1, clause( 69, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( Z, Y ) ), equivalent( equivalent( X, T ), equivalent( 
% 77.12/77.52    equivalent( Z, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) )
% 77.12/77.52     ) )] ), substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, X ), :=( T, Y
% 77.12/77.52     ), :=( U, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 97, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  , clause( 336394, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336396, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 97, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( X, Z ), equivalent( Y, Z ) ) ) ), :=( Y, T )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ), 
% 77.12/77.52    equivalent( Y, Z ) ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336396, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, Y ), equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336397, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Z ), T ), equivalent( equivalent( 
% 77.12/77.52    Y, Z ), T ) ) ) ) ] )
% 77.12/77.52  , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ), 
% 77.12/77.52    equivalent( Y, Z ) ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 1, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( X, equivalent( equivalent( Y, T ), equivalent( Z, T
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( equivalent( equivalent( X, Z
% 77.12/77.52     ), T ), equivalent( equivalent( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 77.12/77.52     :=( X, equivalent( X, Y ) ), :=( Y, equivalent( X, Z ) ), :=( Z, 
% 77.12/77.52    equivalent( Y, Z ) ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 135, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Z ), T ), equivalent( equivalent( Y, Z ), T )
% 77.12/77.52     ) ) ) ] )
% 77.12/77.52  , clause( 336397, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Z ), T ), equivalent( equivalent( 
% 77.12/77.52    Y, Z ), T ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336398, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , clause( 88, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), 
% 77.12/77.52    equivalent( X, Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 97, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 77.12/77.52     ) ), T ), equivalent( equivalent( X, Z ), T ) ) )] ), substitution( 1, [
% 77.12/77.52     :=( X, equivalent( equivalent( X, Y ), equivalent( Z, Y ) ) ), :=( Y, 
% 77.12/77.52    equivalent( X, Z ) ), :=( Z, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 150, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , clause( 336398, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336399, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X
% 77.12/77.52    , Z ) ) ) ] )
% 77.12/77.52  , clause( 88, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), 
% 77.12/77.52    equivalent( X, Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 65, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( equivalent( Z, T
% 77.12/77.52     ), equivalent( Y, T ) ) ), equivalent( X, Z ) ) )] ), substitution( 1, [
% 77.12/77.52     :=( X, equivalent( X, Y ) ), :=( Y, Z ), :=( Z, Y ), :=( T, equivalent( 
% 77.12/77.52    X, Z ) ), :=( U, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 152, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( X, Z
% 77.12/77.52     ) ) ) ] )
% 77.12/77.52  , clause( 336399, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( 
% 77.12/77.52    X, Z ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336401, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( 
% 77.12/77.52    equivalent( X, Z ), T ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 150, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 77.12/77.52    , :=( Z, Z ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 165, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 77.12/77.52     ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 77.12/77.52  , clause( 336401, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( 
% 77.12/77.52    equivalent( X, Z ), T ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336402, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Y ) ), X ) ) ] )
% 77.12/77.52  , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, T ), equivalent( Z, T ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 152, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), equivalent( equivalent( Z, T ), equivalent( Y, T ) ) ), equivalent( 
% 77.12/77.52    X, Z ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( Y, Y ) ) ), :=( Y
% 77.12/77.52    , Z ), :=( Z, Y ), :=( T, Y ), :=( U, equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ), X ) )] ), substitution( 1, [ :=( X, equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ) ), :=( Y, equivalent( Z, Y ) ), :=( Z, X ), :=( T, 
% 77.12/77.52    equivalent( Y, Y ) )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 181, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Y
% 77.12/77.52     ) ), X ) ) ] )
% 77.12/77.52  , clause( 336402, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Y ) ), X ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 77.12/77.52     )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336404, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( Y, Y ) ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 181, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Y ) ), X ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( Y, Y
% 77.12/77.52     ) ), X ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 183, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 77.12/77.52  , clause( 336404, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, equivalent( Y, Y ) ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336405, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Y ) ), Z ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , clause( 183, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 77.12/77.52  , 1, clause( 135, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Z ), T ), equivalent( equivalent( 
% 77.12/77.52    Y, Z ), T ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Y ) ), Z ), T ), 
% 77.12/77.52    equivalent( equivalent( X, Z ), T ) ) )] ), substitution( 1, [ :=( X, 
% 77.12/77.52    equivalent( X, equivalent( Y, Y ) ) ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 188, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Y ) ), Z ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , clause( 336405, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Y ) ), Z ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336406, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ), Z ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , clause( 183, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Y ) ), X ), Z ) ) ) ] )
% 77.12/77.52  , 1, clause( 97, [ 'is_a_theorem'( equivalent( equivalent( X, Y ), 
% 77.12/77.52    equivalent( equivalent( X, Z ), equivalent( Y, Z ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Y ) ), Z ), equivalent( X, Z )
% 77.12/77.52     ) )] ), substitution( 1, [ :=( X, equivalent( X, equivalent( Y, Y ) ) )
% 77.12/77.52    , :=( Y, X ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 190, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ), Z ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , clause( 336406, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ), Z ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336407, [ 'is_a_theorem'( equivalent( X, equivalent( equivalent( X
% 77.12/77.52    , Y ), equivalent( equivalent( Z, Z ), Y ) ) ) ) ] )
% 77.12/77.52  , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( equivalent( X, Z ), 
% 77.12/77.52    equivalent( Y, Z ) ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 190, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Y ) ), Z ), equivalent( X, Z ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Z, Z ) ), :=( Z, Y )
% 77.12/77.52    , :=( T, equivalent( X, equivalent( equivalent( X, Y ), equivalent( 
% 77.12/77.52    equivalent( Z, Z ), Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z
% 77.12/77.52     ), :=( Z, equivalent( equivalent( X, Y ), equivalent( equivalent( Z, Z )
% 77.12/77.52    , Y ) ) )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 205, [ 'is_a_theorem'( equivalent( X, equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( Z, Z ), Y ) ) ) ) ] )
% 77.12/77.52  , clause( 336407, [ 'is_a_theorem'( equivalent( X, equivalent( equivalent( 
% 77.12/77.52    X, Y ), equivalent( equivalent( Z, Z ), Y ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336409, [ ~( 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( equivalent( Z, Z ), Y ) ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 205, [ 'is_a_theorem'( equivalent( X, equivalent( equivalent( 
% 77.12/77.52    X, Y ), equivalent( equivalent( Z, Z ), Y ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( equivalent( X, Y
% 77.12/77.52     ), equivalent( equivalent( Z, Z ), Y ) ) ) ), :=( Y, T )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 242, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( equivalent( X, Y ), equivalent( equivalent( Z
% 77.12/77.52    , Z ), Y ) ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336409, [ ~( 'is_a_theorem'( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( equivalent( X, Y ), equivalent( equivalent( Z, Z ), Y ) ) ), 
% 77.12/77.52    T ) ) ), 'is_a_theorem'( T ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336410, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , equivalent( Z, Z ) ) ), equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , clause( 88, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y ) ), 
% 77.12/77.52    equivalent( X, Z ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 188, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Y ) ), Z ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Z, Z ) ), :=( Z, Y )
% 77.12/77.52    , :=( T, equivalent( equivalent( X, equivalent( Y, equivalent( Z, Z ) ) )
% 77.12/77.52    , equivalent( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), 
% 77.12/77.52    :=( Z, equivalent( Y, equivalent( Z, Z ) ) ), :=( T, equivalent( X, Y ) )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 901, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, 
% 77.12/77.52    equivalent( Z, Z ) ) ), equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , clause( 336410, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, equivalent( Z, Z ) ) ), equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336412, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( Y, equivalent( Z, Z ) ) ), equivalent( X, Y ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 901, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, equivalent( Z, Z ) ) ), equivalent( X, Y ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( X, equivalent( Y, 
% 77.12/77.52    equivalent( Z, Z ) ) ), equivalent( X, Y ) ) ), :=( Y, T )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 908, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, equivalent( Z, Z ) ) ), 
% 77.12/77.52    equivalent( X, Y ) ), T ) ) ) ] )
% 77.12/77.52  , clause( 336412, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    X, equivalent( Y, equivalent( Z, Z ) ) ), equivalent( X, Y ) ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336413, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , Z ) ), equivalent( equivalent( X, equivalent( T, Z ) ), equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , clause( 44, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T
% 77.12/77.52    , Z ) ) ), equivalent( X, equivalent( equivalent( Y, U ), equivalent( T, 
% 77.12/77.52    U ) ) ) ), W ) ) ) ] )
% 77.12/77.52  , 1, clause( 150, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( X, equivalent( T, Z ) ) ), :=( Y
% 77.12/77.52    , Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, equivalent( equivalent( 
% 77.12/77.52    X, equivalent( Y, Z ) ), equivalent( equivalent( X, equivalent( T, Z ) )
% 77.12/77.52    , equivalent( equivalent( Y, U ), equivalent( T, U ) ) ) ) )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, equivalent( T, Z ) ), :=( Z, 
% 77.12/77.52    equivalent( Y, Z ) ), :=( T, equivalent( equivalent( X, equivalent( T, Z
% 77.12/77.52     ) ), equivalent( equivalent( Y, U ), equivalent( T, U ) ) ) )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 958, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, Z
% 77.12/77.52     ) ), equivalent( equivalent( X, equivalent( T, Z ) ), equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , clause( 336413, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Z ) ), equivalent( equivalent( X, equivalent( T, Z ) ), equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336414, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( equivalent( T, T ), Z ) ) ), equivalent( 
% 77.12/77.52    X, Y ) ) ) ] )
% 77.12/77.52  , clause( 908, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, equivalent( Z, Z ) ) ), 
% 77.12/77.52    equivalent( X, Y ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 65, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( Z, U ) ) ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Y, Z ), equivalent( 
% 77.12/77.52    equivalent( T, T ), Z ) ) ), equivalent( X, Y ) ) )] ), substitution( 1
% 77.12/77.52    , [ :=( X, X ), :=( Y, Y ), :=( Z, equivalent( T, T ) ), :=( T, 
% 77.12/77.52    equivalent( X, Y ) ), :=( U, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 1950, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( equivalent( T, T ), Z ) ) ), equivalent( 
% 77.12/77.52    X, Y ) ) ) ] )
% 77.12/77.52  , clause( 336414, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( equivalent( T, T ), Z ) ) ), equivalent( 
% 77.12/77.52    X, Y ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336415, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 77.12/77.52  , clause( 46, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    T, Y ) ), equivalent( equivalent( X, U ), equivalent( equivalent( T, Z )
% 77.12/77.52    , U ) ) ), W ) ) ) ] )
% 77.12/77.52  , 1, clause( 1950, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    equivalent( Y, Z ), equivalent( equivalent( T, T ), Z ) ) ), equivalent( 
% 77.12/77.52    X, Y ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z ), 
% 77.12/77.52    :=( U, T ), :=( W, equivalent( equivalent( equivalent( X, equivalent( Y, 
% 77.12/77.52    Z ) ), equivalent( Z, Y ) ), X ) )] ), substitution( 1, [ :=( X, 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( Z, Y ) ) ), 
% 77.12/77.52    :=( Y, X ), :=( Z, T ), :=( T, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 2442, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 77.12/77.52  , clause( 336415, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336417, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 2442, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ) ), :=( Y, T )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 2449, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    Z, Y ) ), X ), T ) ) ) ] )
% 77.12/77.52  , clause( 336417, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), equivalent( Z, Y ) ), X ), T ) ) ), 
% 77.12/77.52    'is_a_theorem'( T ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336418, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y
% 77.12/77.52     ), Z ), equivalent( equivalent( X, T ), equivalent( Z, equivalent( T, Y
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , clause( 165, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( equivalent( X, Y ), equivalent( Z, Y
% 77.12/77.52     ) ), T ), equivalent( equivalent( X, Z ), T ) ), U ) ) ) ] )
% 77.12/77.52  , 1, clause( 150, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), equivalent( Z, Y ) ), T ), equivalent( equivalent( X
% 77.12/77.52    , Z ), T ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, 
% 77.12/77.52    equivalent( Z, equivalent( T, Y ) ) ), :=( U, equivalent( equivalent( 
% 77.12/77.52    equivalent( X, Y ), Z ), equivalent( equivalent( X, T ), equivalent( Z, 
% 77.12/77.52    equivalent( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, equivalent( X, Y
% 77.12/77.52     ) ), :=( Y, equivalent( T, Y ) ), :=( Z, Z ), :=( T, equivalent( 
% 77.12/77.52    equivalent( X, T ), equivalent( Z, equivalent( T, Y ) ) ) )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 10598, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, Y )
% 77.12/77.52    , Z ), equivalent( equivalent( X, T ), equivalent( Z, equivalent( T, Y )
% 77.12/77.52     ) ) ) ) ] )
% 77.12/77.52  , clause( 336418, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    Y ), Z ), equivalent( equivalent( X, T ), equivalent( Z, equivalent( T, Y
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336419, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , clause( 2449, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), equivalent( 
% 77.12/77.52    Z, Y ) ), X ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 10598, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , Y ), Z ), equivalent( equivalent( X, T ), equivalent( Z, equivalent( T
% 77.12/77.52    , Y ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( X, equivalent( T, equivalent( Z, Y ) ) ) ) )] ), 
% 77.12/77.52    substitution( 1, [ :=( X, equivalent( X, equivalent( Y, Z ) ) ), :=( Y, 
% 77.12/77.52    equivalent( Z, Y ) ), :=( Z, X ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 10619, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , clause( 336419, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 77.12/77.52     ) ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.52    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336421, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, 
% 77.12/77.52    equivalent( Z, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 77.12/77.52  , clause( 0, [ ~( 'is_a_theorem'( equivalent( X, Y ) ) ), 'is_a_theorem'( Y
% 77.12/77.52     ), ~( 'is_a_theorem'( X ) ) ] )
% 77.12/77.52  , 2, clause( 10619, [ 'is_a_theorem'( equivalent( equivalent( equivalent( X
% 77.12/77.52    , equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z
% 77.12/77.52    , Y ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, equivalent( Z, Y
% 77.12/77.52     ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), 
% 77.12/77.52    :=( Z, Z ), :=( T, T )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 10650, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.52    equivalent( X, equivalent( T, equivalent( Z, Y ) ) ) ), U ) ) ) ] )
% 77.12/77.52  , clause( 336421, [ ~( 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( Y, Z ) ), T ), equivalent( X, equivalent( T, 
% 77.12/77.52    equivalent( Z, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336422, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y
% 77.12/77.52    , equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, T ), U ), equivalent( Y, U ) ) ) ) ] )
% 77.12/77.52  , clause( 242, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( equivalent( X, Y ), equivalent( equivalent( Z
% 77.12/77.52    , Z ), Y ) ) ), T ) ) ) ] )
% 77.12/77.52  , 1, clause( 958, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, Z ) ), equivalent( equivalent( X, equivalent( T, Z ) ), equivalent( 
% 77.12/77.52    equivalent( Y, U ), equivalent( T, U ) ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, 
% 77.12/77.52    equivalent( equivalent( X, equivalent( Y, equivalent( equivalent( Z, Z )
% 77.12/77.52    , T ) ) ), equivalent( equivalent( equivalent( X, T ), U ), equivalent( Y
% 77.12/77.52    , U ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, equivalent( X, T )
% 77.12/77.52     ), :=( Z, equivalent( equivalent( Z, Z ), T ) ), :=( T, Y ), :=( U, U )] )
% 77.12/77.52    ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 14255, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( Y, 
% 77.12/77.52    equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, T ), U ), equivalent( Y, U ) ) ) ) ] )
% 77.12/77.52  , clause( 336422, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, T ), U ), equivalent( Y, U ) ) ) ) ] )
% 77.12/77.52  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.52    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  resolution(
% 77.12/77.52  clause( 336423, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), 
% 77.12/77.52    equivalent( T, Y ) ), U ), equivalent( X, U ) ) ) ] )
% 77.12/77.52  , clause( 44, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.52    equivalent( equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T
% 77.12/77.52    , Z ) ) ), equivalent( X, equivalent( equivalent( Y, U ), equivalent( T, 
% 77.12/77.52    U ) ) ) ), W ) ) ) ] )
% 77.12/77.52  , 1, clause( 14255, [ 'is_a_theorem'( equivalent( equivalent( X, equivalent( 
% 77.12/77.52    Y, equivalent( equivalent( Z, Z ), T ) ) ), equivalent( equivalent( 
% 77.12/77.52    equivalent( X, T ), U ), equivalent( Y, U ) ) ) ) ] )
% 77.12/77.52  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), 
% 77.12/77.52    :=( U, Y ), :=( W, equivalent( equivalent( equivalent( equivalent( X, 
% 77.12/77.52    equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), equivalent( T, Y
% 77.12/77.52     ) ), U ), equivalent( X, U ) ) )] ), substitution( 1, [ :=( X, 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ) ), 
% 77.12/77.52    :=( Y, X ), :=( Z, Y ), :=( T, equivalent( T, Y ) ), :=( U, U )] )).
% 77.12/77.52  
% 77.12/77.52  
% 77.12/77.52  subsumption(
% 77.12/77.52  clause( 14602, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.52    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), 
% 77.12/77.52    equivalent( T, Y ) ), U ), equivalent( X, U ) ) ) ] )
% 77.12/77.54  , clause( 336423, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.54    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), 
% 77.12/77.54    equivalent( T, Y ) ), U ), equivalent( X, U ) ) ) ] )
% 77.12/77.54  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 77.12/77.54    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  resolution(
% 77.12/77.54  clause( 336424, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent( 
% 77.12/77.54    equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 77.12/77.54     ) ) ) ) ] )
% 77.12/77.54  , clause( 10650, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( equivalent( 
% 77.12/77.54    equivalent( equivalent( equivalent( X, equivalent( Y, Z ) ), T ), 
% 77.12/77.54    equivalent( X, equivalent( T, equivalent( Z, Y ) ) ) ), U ) ) ) ] )
% 77.12/77.54  , 1, clause( 14602, [ 'is_a_theorem'( equivalent( equivalent( equivalent( 
% 77.12/77.54    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( T, Z ) ) ), 
% 77.12/77.54    equivalent( T, Y ) ), U ), equivalent( X, U ) ) ) ] )
% 77.12/77.54  , 0, substitution( 0, [ :=( X, X ), :=( Y, equivalent( Z, T ) ), :=( Z, 
% 77.12/77.54    equivalent( Y, T ) ), :=( T, equivalent( Y, Z ) ), :=( U, equivalent( X, 
% 77.12/77.54    equivalent( X, equivalent( equivalent( Y, Z ), equivalent( equivalent( Y
% 77.12/77.54    , T ), equivalent( Z, T ) ) ) ) ) )] ), substitution( 1, [ :=( X, X ), 
% 77.12/77.54    :=( Y, Z ), :=( Z, T ), :=( T, Y ), :=( U, equivalent( X, equivalent( 
% 77.12/77.54    equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 77.12/77.54     ) ) )] )).
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  subsumption(
% 77.12/77.54  clause( 335171, [ 'is_a_theorem'( equivalent( X, equivalent( X, equivalent( 
% 77.12/77.54    equivalent( Y, Z ), equivalent( equivalent( Y, T ), equivalent( Z, T ) )
% 77.12/77.54     ) ) ) ) ] )
% 77.12/77.54  , clause( 336424, [ 'is_a_theorem'( equivalent( X, equivalent( X, 
% 77.12/77.54    equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ), 
% 77.12/77.54    equivalent( Z, T ) ) ) ) ) ) ] )
% 77.12/77.54  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 77.12/77.54    permutation( 0, [ ==>( 0, 0 )] ) ).
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  resolution(
% 77.12/77.54  clause( 336425, [] )
% 77.12/77.54  , clause( 2, [ ~( 'is_a_theorem'( equivalent( a, equivalent( a, equivalent( 
% 77.12/77.54    equivalent( b, c ), equivalent( equivalent( b, e ), equivalent( c, e ) )
% 77.12/77.54     ) ) ) ) ) ] )
% 77.12/77.54  , 0, clause( 335171, [ 'is_a_theorem'( equivalent( X, equivalent( X, 
% 77.12/77.54    equivalent( equivalent( Y, Z ), equivalent( equivalent( Y, T ), 
% 77.12/77.54    equivalent( Z, T ) ) ) ) ) ) ] )
% 77.12/77.54  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=( 
% 77.12/77.54    Z, c ), :=( T, e )] )).
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  subsumption(
% 77.12/77.54  clause( 336355, [] )
% 77.12/77.54  , clause( 336425, [] )
% 77.12/77.54  , substitution( 0, [] ), permutation( 0, [] ) ).
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  end.
% 77.12/77.54  
% 77.12/77.54  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 77.12/77.54  
% 77.12/77.54  Memory use:
% 77.12/77.54  
% 77.12/77.54  space for terms:        11050145
% 77.12/77.54  space for clauses:      38308427
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  clauses generated:      887911
% 77.12/77.54  clauses kept:           336356
% 77.12/77.54  clauses selected:       6658
% 77.12/77.54  clauses deleted:        436
% 77.12/77.54  clauses inuse deleted:  7
% 77.12/77.54  
% 77.12/77.54  subsentry:          665073
% 77.12/77.54  literals s-matched: 551990
% 77.12/77.54  literals matched:   551990
% 77.12/77.54  full subsumption:   0
% 77.12/77.54  
% 77.12/77.54  checksum:           2091203118
% 77.12/77.54  
% 77.12/77.54  
% 77.12/77.54  Bliksem ended
%------------------------------------------------------------------------------