TSTP Solution File: SYN099-1.003 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Thu Jul 21 02:47:42 EDT 2022

% Result   : Unsatisfiable 0.41s 1.06s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jul 11 22:26:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.06  *** allocated 10000 integers for termspace/termends
% 0.41/1.06  *** allocated 10000 integers for clauses
% 0.41/1.06  *** allocated 10000 integers for justifications
% 0.41/1.06  Bliksem 1.12
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Automatic Strategy Selection
% 0.41/1.06  
% 0.41/1.06  Clauses:
% 0.41/1.06  [
% 0.41/1.06     [ ~( 'p_1_3'( X ) ) ],
% 0.41/1.06     [ 'p_1_2'( X ), ~( 'p_2_2'( X ) ), ~( 'p_1_1'( X ) ) ],
% 0.41/1.06     [ 'p_1_2'( X ), ~( 'q_2_2'( X ) ), ~( 'q_1_1'( X ) ) ],
% 0.41/1.06     [ 'p_1_3'( X ), ~( 'p_2_3'( X ) ), ~( 'p_1_2'( X ) ) ],
% 0.41/1.06     [ 'p_1_3'( X ), ~( 'q_2_3'( X ) ), ~( 'q_1_2'( X ) ) ],
% 0.41/1.06     [ 'p_2_3'( X ), ~( 'p_3_3'( X ) ), ~( 'p_2_2'( X ) ) ],
% 0.41/1.06     [ 'p_2_3'( X ), ~( 'q_3_3'( X ) ), ~( 'q_2_2'( X ) ) ],
% 0.41/1.06     [ 'q_1_2'( X ), ~( 'p_2_2'( X ) ), ~( 'q_1_1'( X ) ) ],
% 0.41/1.06     [ 'q_1_2'( X ), ~( 'q_2_2'( X ) ), ~( 'p_1_1'( X ) ) ],
% 0.41/1.06     [ 'q_1_3'( X ), ~( 'p_2_3'( X ) ), ~( 'q_1_2'( X ) ) ],
% 0.41/1.06     [ 'q_1_3'( X ), ~( 'q_2_3'( X ) ), ~( 'p_1_2'( X ) ) ],
% 0.41/1.06     [ 'q_2_3'( X ), ~( 'p_3_3'( X ) ), ~( 'q_2_2'( X ) ) ],
% 0.41/1.06     [ 'q_2_3'( X ), ~( 'q_3_3'( X ) ), ~( 'p_2_2'( X ) ) ],
% 0.41/1.06     [ 'p_1_1'( X ), ~( 'p_1_2'( X ) ) ],
% 0.41/1.06     [ 'q_1_1'( X ), ~( 'q_1_2'( X ) ) ],
% 0.41/1.06     [ 'p_2_2'( X ), ~( 'p_1_2'( X ) ) ],
% 0.41/1.06     [ 'p_3_3'( X ), ~( 'p_2_3'( X ) ) ],
% 0.41/1.06     [ 'q_2_2'( X ), ~( 'q_1_2'( X ) ) ],
% 0.41/1.06     [ 'q_3_3'( X ), ~( 'q_2_3'( X ) ) ],
% 0.41/1.06     [ 'p_1_1'( a ) ],
% 0.41/1.06     [ 'q_1_1'( a ) ],
% 0.41/1.06     [ 'p_2_2'( a ) ],
% 0.41/1.06     [ 'q_2_2'( a ) ],
% 0.41/1.06     [ 'p_3_3'( a ) ],
% 0.41/1.06     [ 'q_3_3'( a ) ],
% 0.41/1.06     [ 'sym_p_1_3'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_1_2'( X ) ), 'sym_p_2_2'( X ), 'sym_p_1_1'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_1_2'( X ) ), 'sym_q_2_2'( X ), 'sym_q_1_1'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_1_3'( X ) ), 'sym_p_2_3'( X ), 'sym_p_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_1_3'( X ) ), 'sym_q_2_3'( X ), 'sym_q_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_2_3'( X ) ), 'sym_p_3_3'( X ), 'sym_p_2_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_2_3'( X ) ), 'sym_q_3_3'( X ), 'sym_q_2_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_1_2'( X ) ), 'sym_p_2_2'( X ), 'sym_q_1_1'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_1_2'( X ) ), 'sym_q_2_2'( X ), 'sym_p_1_1'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_1_3'( X ) ), 'sym_p_2_3'( X ), 'sym_q_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_1_3'( X ) ), 'sym_q_2_3'( X ), 'sym_p_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_2_3'( X ) ), 'sym_p_3_3'( X ), 'sym_q_2_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_2_3'( X ) ), 'sym_q_3_3'( X ), 'sym_p_2_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_1_1'( X ) ), 'sym_p_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_1_1'( X ) ), 'sym_q_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_2_2'( X ) ), 'sym_p_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_3_3'( X ) ), 'sym_p_2_3'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_2_2'( X ) ), 'sym_q_1_2'( X ) ],
% 0.41/1.06     [ ~( 'sym_q_3_3'( X ) ), 'sym_q_2_3'( X ) ],
% 0.41/1.06     [ ~( 'sym_p_1_1'( a ) ) ],
% 0.41/1.06     [ ~( 'sym_q_1_1'( a ) ) ],
% 0.41/1.06     [ ~( 'sym_p_2_2'( a ) ) ],
% 0.41/1.06     [ ~( 'sym_q_2_2'( a ) ) ],
% 0.41/1.06     [ ~( 'sym_p_3_3'( a ) ) ],
% 0.41/1.06     [ ~( 'sym_q_3_3'( a ) ) ]
% 0.41/1.06  ] .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  percentage equality = 0.000000, percentage horn = 0.760000
% 0.41/1.06  This a non-horn, non-equality problem
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Options Used:
% 0.41/1.06  
% 0.41/1.06  useres =            1
% 0.41/1.06  useparamod =        0
% 0.41/1.06  useeqrefl =         0
% 0.41/1.06  useeqfact =         0
% 0.41/1.06  usefactor =         1
% 0.41/1.06  usesimpsplitting =  0
% 0.41/1.06  usesimpdemod =      0
% 0.41/1.06  usesimpres =        3
% 0.41/1.06  
% 0.41/1.06  resimpinuse      =  1000
% 0.41/1.06  resimpclauses =     20000
% 0.41/1.06  substype =          standard
% 0.41/1.06  backwardsubs =      1
% 0.41/1.06  selectoldest =      5
% 0.41/1.06  
% 0.41/1.06  litorderings [0] =  split
% 0.41/1.06  litorderings [1] =  liftord
% 0.41/1.06  
% 0.41/1.06  termordering =      none
% 0.41/1.06  
% 0.41/1.06  litapriori =        1
% 0.41/1.06  termapriori =       0
% 0.41/1.06  litaposteriori =    0
% 0.41/1.06  termaposteriori =   0
% 0.41/1.06  demodaposteriori =  0
% 0.41/1.06  ordereqreflfact =   0
% 0.41/1.06  
% 0.41/1.06  litselect =         none
% 0.41/1.06  
% 0.41/1.06  maxweight =         15
% 0.41/1.06  maxdepth =          30000
% 0.41/1.06  maxlength =         115
% 0.41/1.06  maxnrvars =         195
% 0.41/1.06  excuselevel =       1
% 0.41/1.06  increasemaxweight = 1
% 0.41/1.06  
% 0.41/1.06  maxselected =       10000000
% 0.41/1.06  maxnrclauses =      10000000
% 0.41/1.06  
% 0.41/1.06  showgenerated =    0
% 0.41/1.06  showkept =         0
% 0.41/1.06  showselected =     0
% 0.41/1.06  showdeleted =      0
% 0.41/1.06  showresimp =       1
% 0.41/1.06  showstatus =       2000
% 0.41/1.06  
% 0.41/1.06  prologoutput =     1
% 0.41/1.06  nrgoals =          5000000
% 0.41/1.06  totalproof =       1
% 0.41/1.06  
% 0.41/1.06  Symbols occurring in the translation:
% 0.41/1.06  
% 0.41/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.06  .  [1, 2]      (w:1, o:40, a:1, s:1, b:0), 
% 0.41/1.06  !  [4, 1]      (w:0, o:11, a:1, s:1, b:0), 
% 0.41/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  'p_1_3'  [40, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.41/1.06  'p_1_2'  [41, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.41/1.06  'p_2_2'  [42, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.41/1.06  'p_1_1'  [43, 1]      (w:1, o:16, a:1, s:1, b:0), 
% 0.41/1.06  'q_2_2'  [44, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.41/1.06  'q_1_1'  [45, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.41/1.06  'p_2_3'  [46, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.41/1.06  'q_2_3'  [47, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.41/1.06  'q_1_2'  [48, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.41/1.06  'p_3_3'  [49, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.41/1.06  'q_3_3'  [50, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.41/1.06  'q_1_3'  [51, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.41/1.06  a  [52, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.41/1.06  'sym_p_1_3'  [53, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.41/1.06  'sym_p_1_2'  [54, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.41/1.06  'sym_p_2_2'  [55, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.41/1.06  'sym_p_1_1'  [56, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.41/1.06  'sym_q_2_2'  [57, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 0.41/1.06  'sym_q_1_1'  [58, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 0.41/1.06  'sym_p_2_3'  [59, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.41/1.06  'sym_q_2_3'  [60, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 0.41/1.06  'sym_q_1_2'  [61, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 0.41/1.06  'sym_p_3_3'  [62, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.41/1.06  'sym_q_3_3'  [63, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 0.41/1.06  'sym_q_1_3'  [64, 1]      (w:1, o:36, a:1, s:1, b:0).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Starting Search:
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksems!, er is een bewijs:
% 0.41/1.06  % SZS status Unsatisfiable
% 0.41/1.06  % SZS output start Refutation
% 0.41/1.06  
% 0.41/1.06  clause( 0, [ ~( 'p_1_3'( X ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 2, [ 'p_1_2'( X ), ~( 'q_1_1'( X ) ), ~( 'q_2_2'( X ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 3, [ ~( 'p_1_2'( X ) ), ~( 'p_2_3'( X ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 5, [ 'p_2_3'( X ), ~( 'p_2_2'( X ) ), ~( 'p_3_3'( X ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 20, [ 'q_1_1'( a ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 21, [ 'p_2_2'( a ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 22, [ 'q_2_2'( a ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 23, [ 'p_3_3'( a ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 50, [ 'p_1_2'( a ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 51, [ 'p_2_3'( a ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 52, [] )
% 0.41/1.06  .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  % SZS output end Refutation
% 0.41/1.06  found a proof!
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  initialclauses(
% 0.41/1.06  [ clause( 54, [ ~( 'p_1_3'( X ) ) ] )
% 0.41/1.06  , clause( 55, [ 'p_1_2'( X ), ~( 'p_2_2'( X ) ), ~( 'p_1_1'( X ) ) ] )
% 0.41/1.06  , clause( 56, [ 'p_1_2'( X ), ~( 'q_2_2'( X ) ), ~( 'q_1_1'( X ) ) ] )
% 0.41/1.06  , clause( 57, [ 'p_1_3'( X ), ~( 'p_2_3'( X ) ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 58, [ 'p_1_3'( X ), ~( 'q_2_3'( X ) ), ~( 'q_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 59, [ 'p_2_3'( X ), ~( 'p_3_3'( X ) ), ~( 'p_2_2'( X ) ) ] )
% 0.41/1.06  , clause( 60, [ 'p_2_3'( X ), ~( 'q_3_3'( X ) ), ~( 'q_2_2'( X ) ) ] )
% 0.41/1.06  , clause( 61, [ 'q_1_2'( X ), ~( 'p_2_2'( X ) ), ~( 'q_1_1'( X ) ) ] )
% 0.41/1.06  , clause( 62, [ 'q_1_2'( X ), ~( 'q_2_2'( X ) ), ~( 'p_1_1'( X ) ) ] )
% 0.41/1.06  , clause( 63, [ 'q_1_3'( X ), ~( 'p_2_3'( X ) ), ~( 'q_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 64, [ 'q_1_3'( X ), ~( 'q_2_3'( X ) ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 65, [ 'q_2_3'( X ), ~( 'p_3_3'( X ) ), ~( 'q_2_2'( X ) ) ] )
% 0.41/1.06  , clause( 66, [ 'q_2_3'( X ), ~( 'q_3_3'( X ) ), ~( 'p_2_2'( X ) ) ] )
% 0.41/1.06  , clause( 67, [ 'p_1_1'( X ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 68, [ 'q_1_1'( X ), ~( 'q_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 69, [ 'p_2_2'( X ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 70, [ 'p_3_3'( X ), ~( 'p_2_3'( X ) ) ] )
% 0.41/1.06  , clause( 71, [ 'q_2_2'( X ), ~( 'q_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 72, [ 'q_3_3'( X ), ~( 'q_2_3'( X ) ) ] )
% 0.41/1.06  , clause( 73, [ 'p_1_1'( a ) ] )
% 0.41/1.06  , clause( 74, [ 'q_1_1'( a ) ] )
% 0.41/1.06  , clause( 75, [ 'p_2_2'( a ) ] )
% 0.41/1.06  , clause( 76, [ 'q_2_2'( a ) ] )
% 0.41/1.06  , clause( 77, [ 'p_3_3'( a ) ] )
% 0.41/1.06  , clause( 78, [ 'q_3_3'( a ) ] )
% 0.41/1.06  , clause( 79, [ 'sym_p_1_3'( X ) ] )
% 0.41/1.06  , clause( 80, [ ~( 'sym_p_1_2'( X ) ), 'sym_p_2_2'( X ), 'sym_p_1_1'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 81, [ ~( 'sym_p_1_2'( X ) ), 'sym_q_2_2'( X ), 'sym_q_1_1'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 82, [ ~( 'sym_p_1_3'( X ) ), 'sym_p_2_3'( X ), 'sym_p_1_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 83, [ ~( 'sym_p_1_3'( X ) ), 'sym_q_2_3'( X ), 'sym_q_1_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 84, [ ~( 'sym_p_2_3'( X ) ), 'sym_p_3_3'( X ), 'sym_p_2_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 85, [ ~( 'sym_p_2_3'( X ) ), 'sym_q_3_3'( X ), 'sym_q_2_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 86, [ ~( 'sym_q_1_2'( X ) ), 'sym_p_2_2'( X ), 'sym_q_1_1'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 87, [ ~( 'sym_q_1_2'( X ) ), 'sym_q_2_2'( X ), 'sym_p_1_1'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 88, [ ~( 'sym_q_1_3'( X ) ), 'sym_p_2_3'( X ), 'sym_q_1_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 89, [ ~( 'sym_q_1_3'( X ) ), 'sym_q_2_3'( X ), 'sym_p_1_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 90, [ ~( 'sym_q_2_3'( X ) ), 'sym_p_3_3'( X ), 'sym_q_2_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 91, [ ~( 'sym_q_2_3'( X ) ), 'sym_q_3_3'( X ), 'sym_p_2_2'( X ) ]
% 0.41/1.06     )
% 0.41/1.06  , clause( 92, [ ~( 'sym_p_1_1'( X ) ), 'sym_p_1_2'( X ) ] )
% 0.41/1.06  , clause( 93, [ ~( 'sym_q_1_1'( X ) ), 'sym_q_1_2'( X ) ] )
% 0.41/1.06  , clause( 94, [ ~( 'sym_p_2_2'( X ) ), 'sym_p_1_2'( X ) ] )
% 0.41/1.06  , clause( 95, [ ~( 'sym_p_3_3'( X ) ), 'sym_p_2_3'( X ) ] )
% 0.41/1.06  , clause( 96, [ ~( 'sym_q_2_2'( X ) ), 'sym_q_1_2'( X ) ] )
% 0.41/1.06  , clause( 97, [ ~( 'sym_q_3_3'( X ) ), 'sym_q_2_3'( X ) ] )
% 0.41/1.06  , clause( 98, [ ~( 'sym_p_1_1'( a ) ) ] )
% 0.41/1.06  , clause( 99, [ ~( 'sym_q_1_1'( a ) ) ] )
% 0.41/1.06  , clause( 100, [ ~( 'sym_p_2_2'( a ) ) ] )
% 0.41/1.06  , clause( 101, [ ~( 'sym_q_2_2'( a ) ) ] )
% 0.41/1.06  , clause( 102, [ ~( 'sym_p_3_3'( a ) ) ] )
% 0.41/1.06  , clause( 103, [ ~( 'sym_q_3_3'( a ) ) ] )
% 0.41/1.06  ] ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 0, [ ~( 'p_1_3'( X ) ) ] )
% 0.41/1.06  , clause( 54, [ ~( 'p_1_3'( X ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 2, [ 'p_1_2'( X ), ~( 'q_1_1'( X ) ), ~( 'q_2_2'( X ) ) ] )
% 0.41/1.06  , clause( 56, [ 'p_1_2'( X ), ~( 'q_2_2'( X ) ), ~( 'q_1_1'( X ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.41/1.06    2 ), ==>( 2, 1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 104, [ ~( 'p_2_3'( X ) ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , clause( 0, [ ~( 'p_1_3'( X ) ) ] )
% 0.41/1.06  , 0, clause( 57, [ 'p_1_3'( X ), ~( 'p_2_3'( X ) ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.06    ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 3, [ ~( 'p_1_2'( X ) ), ~( 'p_2_3'( X ) ) ] )
% 0.41/1.06  , clause( 104, [ ~( 'p_2_3'( X ) ), ~( 'p_1_2'( X ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.41/1.06    0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 5, [ 'p_2_3'( X ), ~( 'p_2_2'( X ) ), ~( 'p_3_3'( X ) ) ] )
% 0.41/1.06  , clause( 59, [ 'p_2_3'( X ), ~( 'p_3_3'( X ) ), ~( 'p_2_2'( X ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.41/1.06    2 ), ==>( 2, 1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 20, [ 'q_1_1'( a ) ] )
% 0.41/1.06  , clause( 74, [ 'q_1_1'( a ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 21, [ 'p_2_2'( a ) ] )
% 0.41/1.06  , clause( 75, [ 'p_2_2'( a ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 22, [ 'q_2_2'( a ) ] )
% 0.41/1.06  , clause( 76, [ 'q_2_2'( a ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 23, [ 'p_3_3'( a ) ] )
% 0.41/1.06  , clause( 77, [ 'p_3_3'( a ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 105, [ 'p_1_2'( a ), ~( 'q_1_1'( a ) ) ] )
% 0.41/1.06  , clause( 2, [ 'p_1_2'( X ), ~( 'q_1_1'( X ) ), ~( 'q_2_2'( X ) ) ] )
% 0.41/1.06  , 2, clause( 22, [ 'q_2_2'( a ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 106, [ 'p_1_2'( a ) ] )
% 0.41/1.06  , clause( 105, [ 'p_1_2'( a ), ~( 'q_1_1'( a ) ) ] )
% 0.41/1.06  , 1, clause( 20, [ 'q_1_1'( a ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 50, [ 'p_1_2'( a ) ] )
% 0.41/1.06  , clause( 106, [ 'p_1_2'( a ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 107, [ 'p_2_3'( a ), ~( 'p_2_2'( a ) ) ] )
% 0.41/1.06  , clause( 5, [ 'p_2_3'( X ), ~( 'p_2_2'( X ) ), ~( 'p_3_3'( X ) ) ] )
% 0.41/1.06  , 2, clause( 23, [ 'p_3_3'( a ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 108, [ 'p_2_3'( a ) ] )
% 0.41/1.06  , clause( 107, [ 'p_2_3'( a ), ~( 'p_2_2'( a ) ) ] )
% 0.41/1.06  , 1, clause( 21, [ 'p_2_2'( a ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 51, [ 'p_2_3'( a ) ] )
% 0.41/1.06  , clause( 108, [ 'p_2_3'( a ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 109, [ ~( 'p_1_2'( a ) ) ] )
% 0.41/1.06  , clause( 3, [ ~( 'p_1_2'( X ) ), ~( 'p_2_3'( X ) ) ] )
% 0.41/1.06  , 1, clause( 51, [ 'p_2_3'( a ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 110, [] )
% 0.41/1.06  , clause( 109, [ ~( 'p_1_2'( a ) ) ] )
% 0.41/1.06  , 0, clause( 50, [ 'p_1_2'( a ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 52, [] )
% 0.41/1.06  , clause( 110, [] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  end.
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  Memory use:
% 0.41/1.06  
% 0.41/1.06  space for terms:        1146
% 0.41/1.06  space for clauses:      2812
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  clauses generated:      54
% 0.41/1.06  clauses kept:           53
% 0.41/1.06  clauses selected:       27
% 0.41/1.06  clauses deleted:        0
% 0.41/1.06  clauses inuse deleted:  0
% 0.41/1.06  
% 0.41/1.06  subsentry:          1
% 0.41/1.06  literals s-matched: 1
% 0.41/1.06  literals matched:   1
% 0.41/1.06  full subsumption:   0
% 0.41/1.06  
% 0.41/1.06  checksum:           -1161227570
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksem ended
%------------------------------------------------------------------------------