TSTP Solution File: SYN097-1.002 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 0.69s 1.09s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n027.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 : Tue Jul 12 09:21:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.69/1.09  *** allocated 10000 integers for termspace/termends
% 0.69/1.09  *** allocated 10000 integers for clauses
% 0.69/1.09  *** allocated 10000 integers for justifications
% 0.69/1.09  Bliksem 1.12
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Automatic Strategy Selection
% 0.69/1.09  
% 0.69/1.09  Clauses:
% 0.69/1.09  [
% 0.69/1.09     [ 'u_1', ~( 'p_1_2' ) ],
% 0.69/1.09     [ ~( 'u_1' ) ],
% 0.69/1.09     [ 'u_2', 'p_1_2', ~( 'p_2_2' ), ~( 'p_1_1' ) ],
% 0.69/1.09     [ 'p_1_2', ~( 'u_2' ) ],
% 0.69/1.09     [ 'u_3', 'p_1_2', ~( 'q_2_2' ), ~( 'q_1_1' ) ],
% 0.69/1.09     [ 'p_1_2', ~( 'u_3' ) ],
% 0.69/1.09     [ 'u_4', 'q_1_2', ~( 'p_2_2' ), ~( 'q_1_1' ) ],
% 0.69/1.09     [ 'q_1_2', ~( 'u_4' ) ],
% 0.69/1.09     [ 'u_5', 'q_1_2', ~( 'q_2_2' ), ~( 'p_1_1' ) ],
% 0.69/1.09     [ 'q_1_2', ~( 'u_5' ) ],
% 0.69/1.09     [ 'u_6', 'p_1_1', ~( 'p_1_2' ) ],
% 0.69/1.09     [ 'p_1_1', ~( 'u_6' ) ],
% 0.69/1.09     [ 'u_7', 'q_1_1', ~( 'q_1_2' ) ],
% 0.69/1.09     [ 'q_1_1', ~( 'u_7' ) ],
% 0.69/1.09     [ 'u_8', 'p_2_2', ~( 'p_1_2' ) ],
% 0.69/1.09     [ 'p_2_2', ~( 'u_8' ) ],
% 0.69/1.09     [ 'u_9', 'q_2_2', ~( 'q_1_2' ) ],
% 0.69/1.09     [ 'q_2_2', ~( 'u_9' ) ],
% 0.69/1.09     [ 'u_10', 'p_1_1' ],
% 0.69/1.09     [ 'p_1_1', ~( 'u_10' ) ],
% 0.69/1.09     [ 'u_11', 'q_1_1' ],
% 0.69/1.09     [ 'q_1_1', ~( 'u_11' ) ],
% 0.69/1.09     [ 'u_12', 'p_2_2' ],
% 0.69/1.09     [ 'p_2_2', ~( 'u_12' ) ],
% 0.69/1.09     [ 'u_13', 'q_2_2' ],
% 0.69/1.09     [ 'q_2_2', ~( 'u_13' ) ],
% 0.69/1.09     [ ~( 'sym_u_1' ), 'sym_p_1_2' ],
% 0.69/1.09     [ 'sym_u_1' ],
% 0.69/1.09     [ ~( 'sym_u_2' ), ~( 'sym_p_1_2' ), 'sym_p_2_2', 'sym_p_1_1' ],
% 0.69/1.09     [ ~( 'sym_p_1_2' ), 'sym_u_2' ],
% 0.69/1.09     [ ~( 'sym_u_3' ), ~( 'sym_p_1_2' ), 'sym_q_2_2', 'sym_q_1_1' ],
% 0.69/1.09     [ ~( 'sym_p_1_2' ), 'sym_u_3' ],
% 0.69/1.09     [ ~( 'sym_u_4' ), ~( 'sym_q_1_2' ), 'sym_p_2_2', 'sym_q_1_1' ],
% 0.69/1.09     [ ~( 'sym_q_1_2' ), 'sym_u_4' ],
% 0.69/1.09     [ ~( 'sym_u_5' ), ~( 'sym_q_1_2' ), 'sym_q_2_2', 'sym_p_1_1' ],
% 0.69/1.09     [ ~( 'sym_q_1_2' ), 'sym_u_5' ],
% 0.69/1.09     [ ~( 'sym_u_6' ), ~( 'sym_p_1_1' ), 'sym_p_1_2' ],
% 0.69/1.09     [ ~( 'sym_p_1_1' ), 'sym_u_6' ],
% 0.69/1.09     [ ~( 'sym_u_7' ), ~( 'sym_q_1_1' ), 'sym_q_1_2' ],
% 0.69/1.09     [ ~( 'sym_q_1_1' ), 'sym_u_7' ],
% 0.69/1.09     [ ~( 'sym_u_8' ), ~( 'sym_p_2_2' ), 'sym_p_1_2' ],
% 0.69/1.09     [ ~( 'sym_p_2_2' ), 'sym_u_8' ],
% 0.69/1.09     [ ~( 'sym_u_9' ), ~( 'sym_q_2_2' ), 'sym_q_1_2' ],
% 0.69/1.09     [ ~( 'sym_q_2_2' ), 'sym_u_9' ],
% 0.69/1.09     [ ~( 'sym_u_10' ), ~( 'sym_p_1_1' ) ],
% 0.69/1.09     [ ~( 'sym_p_1_1' ), 'sym_u_10' ],
% 0.69/1.09     [ ~( 'sym_u_11' ), ~( 'sym_q_1_1' ) ],
% 0.69/1.09     [ ~( 'sym_q_1_1' ), 'sym_u_11' ],
% 0.69/1.09     [ ~( 'sym_u_12' ), ~( 'sym_p_2_2' ) ],
% 0.69/1.09     [ ~( 'sym_p_2_2' ), 'sym_u_12' ],
% 0.69/1.09     [ ~( 'sym_u_13' ), ~( 'sym_q_2_2' ) ],
% 0.69/1.09     [ ~( 'sym_q_2_2' ), 'sym_u_13' ]
% 0.69/1.09  ] .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  percentage equality = 0.000000, percentage horn = 0.692308
% 0.69/1.09  This a non-horn, non-equality problem
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Options Used:
% 0.69/1.09  
% 0.69/1.09  useres =            1
% 0.69/1.09  useparamod =        0
% 0.69/1.09  useeqrefl =         0
% 0.69/1.09  useeqfact =         0
% 0.69/1.09  usefactor =         1
% 0.69/1.09  usesimpsplitting =  0
% 0.69/1.09  usesimpdemod =      0
% 0.69/1.09  usesimpres =        3
% 0.69/1.09  
% 0.69/1.09  resimpinuse      =  1000
% 0.69/1.09  resimpclauses =     20000
% 0.69/1.09  substype =          standard
% 0.69/1.09  backwardsubs =      1
% 0.69/1.09  selectoldest =      5
% 0.69/1.09  
% 0.69/1.09  litorderings [0] =  split
% 0.69/1.09  litorderings [1] =  liftord
% 0.69/1.09  
% 0.69/1.09  termordering =      none
% 0.69/1.09  
% 0.69/1.09  litapriori =        1
% 0.69/1.09  termapriori =       0
% 0.69/1.09  litaposteriori =    0
% 0.69/1.09  termaposteriori =   0
% 0.69/1.09  demodaposteriori =  0
% 0.69/1.09  ordereqreflfact =   0
% 0.69/1.09  
% 0.69/1.09  litselect =         none
% 0.69/1.09  
% 0.69/1.09  maxweight =         15
% 0.69/1.09  maxdepth =          30000
% 0.69/1.09  maxlength =         115
% 0.69/1.09  maxnrvars =         195
% 0.69/1.09  excuselevel =       1
% 0.69/1.09  increasemaxweight = 1
% 0.69/1.09  
% 0.69/1.09  maxselected =       10000000
% 0.69/1.09  maxnrclauses =      10000000
% 0.69/1.09  
% 0.69/1.09  showgenerated =    0
% 0.69/1.09  showkept =         0
% 0.69/1.09  showselected =     0
% 0.69/1.09  showdeleted =      0
% 0.69/1.09  showresimp =       1
% 0.69/1.09  showstatus =       2000
% 0.69/1.09  
% 0.69/1.09  prologoutput =     1
% 0.69/1.09  nrgoals =          5000000
% 0.69/1.09  totalproof =       1
% 0.69/1.09  
% 0.69/1.09  Symbols occurring in the translation:
% 0.69/1.09  
% 0.69/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.69/1.09  .  [1, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.69/1.09  !  [4, 1]      (w:0, o:47, a:1, s:1, b:0), 
% 0.69/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  'u_1'  [39, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.69/1.09  'p_1_2'  [40, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.69/1.09  'u_2'  [41, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 0.69/1.09  'p_2_2'  [42, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.69/1.09  'p_1_1'  [43, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.69/1.09  'u_3'  [44, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 0.69/1.09  'q_2_2'  [45, 0]      (w:1, o:40, a:1, s:1, b:0), 
% 0.69/1.09  'q_1_1'  [46, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.69/1.09  'u_4'  [47, 0]      (w:1, o:41, a:1, s:1, b:0), 
% 0.69/1.09  'q_1_2'  [48, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.69/1.09  'u_5'  [49, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 0.69/1.09  'u_6'  [50, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.69/1.09  'u_7'  [51, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 0.69/1.09  'u_8'  [52, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 0.69/1.09  'u_9'  [53, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 0.69/1.09  'u_10'  [54, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 0.69/1.09  'u_11'  [55, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 0.69/1.09  'u_12'  [56, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 0.69/1.09  'u_13'  [57, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_1'  [58, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.69/1.09  'sym_p_1_2'  [59, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_2'  [60, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.69/1.09  'sym_p_2_2'  [61, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.69/1.09  'sym_p_1_1'  [62, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_3'  [63, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.69/1.09  'sym_q_2_2'  [64, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.69/1.09  'sym_q_1_1'  [65, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_4'  [66, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 0.69/1.09  'sym_q_1_2'  [67, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_5'  [68, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_6'  [69, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_7'  [70, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_8'  [71, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_9'  [72, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_10'  [73, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_11'  [74, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_12'  [75, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.69/1.09  'sym_u_13'  [76, 0]      (w:1, o:11, a:1, s:1, b:0).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Starting Search:
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksems!, er is een bewijs:
% 0.69/1.09  % SZS status Unsatisfiable
% 0.69/1.09  % SZS output start Refutation
% 0.69/1.09  
% 0.69/1.09  clause( 0, [ 'u_1', ~( 'p_1_2' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 1, [ ~( 'u_1' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 2, [ 'p_1_2', 'u_2', ~( 'p_1_1' ), ~( 'p_2_2' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 3, [ 'p_1_2', ~( 'u_2' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 18, [ 'p_1_1', 'u_10' ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 19, [ 'p_1_1' ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 22, [ 'u_12', 'p_2_2' ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 23, [ 'p_2_2' ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 52, [ ~( 'p_1_2' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 53, [ 'u_2' ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 54, [] )
% 0.69/1.09  .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  % SZS output end Refutation
% 0.69/1.09  found a proof!
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  initialclauses(
% 0.69/1.09  [ clause( 56, [ 'u_1', ~( 'p_1_2' ) ] )
% 0.69/1.09  , clause( 57, [ ~( 'u_1' ) ] )
% 0.69/1.09  , clause( 58, [ 'u_2', 'p_1_2', ~( 'p_2_2' ), ~( 'p_1_1' ) ] )
% 0.69/1.09  , clause( 59, [ 'p_1_2', ~( 'u_2' ) ] )
% 0.69/1.09  , clause( 60, [ 'u_3', 'p_1_2', ~( 'q_2_2' ), ~( 'q_1_1' ) ] )
% 0.69/1.09  , clause( 61, [ 'p_1_2', ~( 'u_3' ) ] )
% 0.69/1.09  , clause( 62, [ 'u_4', 'q_1_2', ~( 'p_2_2' ), ~( 'q_1_1' ) ] )
% 0.69/1.09  , clause( 63, [ 'q_1_2', ~( 'u_4' ) ] )
% 0.69/1.09  , clause( 64, [ 'u_5', 'q_1_2', ~( 'q_2_2' ), ~( 'p_1_1' ) ] )
% 0.69/1.09  , clause( 65, [ 'q_1_2', ~( 'u_5' ) ] )
% 0.69/1.09  , clause( 66, [ 'u_6', 'p_1_1', ~( 'p_1_2' ) ] )
% 0.69/1.09  , clause( 67, [ 'p_1_1', ~( 'u_6' ) ] )
% 0.69/1.09  , clause( 68, [ 'u_7', 'q_1_1', ~( 'q_1_2' ) ] )
% 0.69/1.09  , clause( 69, [ 'q_1_1', ~( 'u_7' ) ] )
% 0.69/1.09  , clause( 70, [ 'u_8', 'p_2_2', ~( 'p_1_2' ) ] )
% 0.69/1.09  , clause( 71, [ 'p_2_2', ~( 'u_8' ) ] )
% 0.69/1.09  , clause( 72, [ 'u_9', 'q_2_2', ~( 'q_1_2' ) ] )
% 0.69/1.09  , clause( 73, [ 'q_2_2', ~( 'u_9' ) ] )
% 0.69/1.09  , clause( 74, [ 'u_10', 'p_1_1' ] )
% 0.69/1.09  , clause( 75, [ 'p_1_1', ~( 'u_10' ) ] )
% 0.69/1.09  , clause( 76, [ 'u_11', 'q_1_1' ] )
% 0.69/1.09  , clause( 77, [ 'q_1_1', ~( 'u_11' ) ] )
% 0.69/1.09  , clause( 78, [ 'u_12', 'p_2_2' ] )
% 0.69/1.09  , clause( 79, [ 'p_2_2', ~( 'u_12' ) ] )
% 0.69/1.09  , clause( 80, [ 'u_13', 'q_2_2' ] )
% 0.69/1.09  , clause( 81, [ 'q_2_2', ~( 'u_13' ) ] )
% 0.69/1.09  , clause( 82, [ ~( 'sym_u_1' ), 'sym_p_1_2' ] )
% 0.69/1.09  , clause( 83, [ 'sym_u_1' ] )
% 0.69/1.09  , clause( 84, [ ~( 'sym_u_2' ), ~( 'sym_p_1_2' ), 'sym_p_2_2', 'sym_p_1_1'
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 85, [ ~( 'sym_p_1_2' ), 'sym_u_2' ] )
% 0.69/1.09  , clause( 86, [ ~( 'sym_u_3' ), ~( 'sym_p_1_2' ), 'sym_q_2_2', 'sym_q_1_1'
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 87, [ ~( 'sym_p_1_2' ), 'sym_u_3' ] )
% 0.69/1.09  , clause( 88, [ ~( 'sym_u_4' ), ~( 'sym_q_1_2' ), 'sym_p_2_2', 'sym_q_1_1'
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 89, [ ~( 'sym_q_1_2' ), 'sym_u_4' ] )
% 0.69/1.09  , clause( 90, [ ~( 'sym_u_5' ), ~( 'sym_q_1_2' ), 'sym_q_2_2', 'sym_p_1_1'
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 91, [ ~( 'sym_q_1_2' ), 'sym_u_5' ] )
% 0.69/1.09  , clause( 92, [ ~( 'sym_u_6' ), ~( 'sym_p_1_1' ), 'sym_p_1_2' ] )
% 0.69/1.09  , clause( 93, [ ~( 'sym_p_1_1' ), 'sym_u_6' ] )
% 0.69/1.09  , clause( 94, [ ~( 'sym_u_7' ), ~( 'sym_q_1_1' ), 'sym_q_1_2' ] )
% 0.69/1.09  , clause( 95, [ ~( 'sym_q_1_1' ), 'sym_u_7' ] )
% 0.69/1.09  , clause( 96, [ ~( 'sym_u_8' ), ~( 'sym_p_2_2' ), 'sym_p_1_2' ] )
% 0.69/1.09  , clause( 97, [ ~( 'sym_p_2_2' ), 'sym_u_8' ] )
% 0.69/1.09  , clause( 98, [ ~( 'sym_u_9' ), ~( 'sym_q_2_2' ), 'sym_q_1_2' ] )
% 0.69/1.09  , clause( 99, [ ~( 'sym_q_2_2' ), 'sym_u_9' ] )
% 0.69/1.09  , clause( 100, [ ~( 'sym_u_10' ), ~( 'sym_p_1_1' ) ] )
% 0.69/1.09  , clause( 101, [ ~( 'sym_p_1_1' ), 'sym_u_10' ] )
% 0.69/1.09  , clause( 102, [ ~( 'sym_u_11' ), ~( 'sym_q_1_1' ) ] )
% 0.69/1.09  , clause( 103, [ ~( 'sym_q_1_1' ), 'sym_u_11' ] )
% 0.69/1.09  , clause( 104, [ ~( 'sym_u_12' ), ~( 'sym_p_2_2' ) ] )
% 0.69/1.09  , clause( 105, [ ~( 'sym_p_2_2' ), 'sym_u_12' ] )
% 0.69/1.09  , clause( 106, [ ~( 'sym_u_13' ), ~( 'sym_q_2_2' ) ] )
% 0.69/1.09  , clause( 107, [ ~( 'sym_q_2_2' ), 'sym_u_13' ] )
% 0.69/1.09  ] ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 0, [ 'u_1', ~( 'p_1_2' ) ] )
% 0.69/1.09  , clause( 56, [ 'u_1', ~( 'p_1_2' ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.09     ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 1, [ ~( 'u_1' ) ] )
% 0.69/1.09  , clause( 57, [ ~( 'u_1' ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 2, [ 'p_1_2', 'u_2', ~( 'p_1_1' ), ~( 'p_2_2' ) ] )
% 0.69/1.09  , clause( 58, [ 'u_2', 'p_1_2', ~( 'p_2_2' ), ~( 'p_1_1' ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.69/1.09    , 3 ), ==>( 3, 2 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 3, [ 'p_1_2', ~( 'u_2' ) ] )
% 0.69/1.09  , clause( 59, [ 'p_1_2', ~( 'u_2' ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.09     ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 18, [ 'p_1_1', 'u_10' ] )
% 0.69/1.09  , clause( 74, [ 'u_10', 'p_1_1' ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.69/1.09     ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 110, [ 'p_1_1', 'p_1_1' ] )
% 0.69/1.09  , clause( 75, [ 'p_1_1', ~( 'u_10' ) ] )
% 0.69/1.09  , 1, clause( 18, [ 'p_1_1', 'u_10' ] )
% 0.69/1.09  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  factor(
% 0.69/1.09  clause( 111, [ 'p_1_1' ] )
% 0.69/1.09  , clause( 110, [ 'p_1_1', 'p_1_1' ] )
% 0.69/1.09  , 0, 1, substitution( 0, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 19, [ 'p_1_1' ] )
% 0.69/1.09  , clause( 111, [ 'p_1_1' ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 22, [ 'u_12', 'p_2_2' ] )
% 0.69/1.09  , clause( 78, [ 'u_12', 'p_2_2' ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.69/1.09     ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 114, [ 'p_2_2', 'p_2_2' ] )
% 0.69/1.09  , clause( 79, [ 'p_2_2', ~( 'u_12' ) ] )
% 0.69/1.09  , 1, clause( 22, [ 'u_12', 'p_2_2' ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  factor(
% 0.69/1.09  clause( 115, [ 'p_2_2' ] )
% 0.69/1.09  , clause( 114, [ 'p_2_2', 'p_2_2' ] )
% 0.69/1.09  , 0, 1, substitution( 0, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 23, [ 'p_2_2' ] )
% 0.69/1.09  , clause( 115, [ 'p_2_2' ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 116, [ ~( 'p_1_2' ) ] )
% 0.69/1.09  , clause( 1, [ ~( 'u_1' ) ] )
% 0.69/1.09  , 0, clause( 0, [ 'u_1', ~( 'p_1_2' ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 52, [ ~( 'p_1_2' ) ] )
% 0.69/1.09  , clause( 116, [ ~( 'p_1_2' ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 117, [ 'u_2', ~( 'p_1_1' ), ~( 'p_2_2' ) ] )
% 0.69/1.09  , clause( 52, [ ~( 'p_1_2' ) ] )
% 0.69/1.09  , 0, clause( 2, [ 'p_1_2', 'u_2', ~( 'p_1_1' ), ~( 'p_2_2' ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 118, [ 'u_2', ~( 'p_2_2' ) ] )
% 0.69/1.09  , clause( 117, [ 'u_2', ~( 'p_1_1' ), ~( 'p_2_2' ) ] )
% 0.69/1.09  , 1, clause( 19, [ 'p_1_1' ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 119, [ 'u_2' ] )
% 0.69/1.09  , clause( 118, [ 'u_2', ~( 'p_2_2' ) ] )
% 0.69/1.09  , 1, clause( 23, [ 'p_2_2' ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 53, [ 'u_2' ] )
% 0.69/1.09  , clause( 119, [ 'u_2' ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 120, [ ~( 'u_2' ) ] )
% 0.69/1.09  , clause( 52, [ ~( 'p_1_2' ) ] )
% 0.69/1.09  , 0, clause( 3, [ 'p_1_2', ~( 'u_2' ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 121, [] )
% 0.69/1.09  , clause( 120, [ ~( 'u_2' ) ] )
% 0.69/1.09  , 0, clause( 53, [ 'u_2' ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 54, [] )
% 0.69/1.09  , clause( 121, [] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  end.
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  Memory use:
% 0.69/1.09  
% 0.69/1.09  space for terms:        931
% 0.69/1.09  space for clauses:      2309
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  clauses generated:      55
% 0.69/1.09  clauses kept:           55
% 0.69/1.09  clauses selected:       12
% 0.69/1.09  clauses deleted:        9
% 0.69/1.09  clauses inuse deleted:  0
% 0.69/1.09  
% 0.69/1.09  subsentry:          6
% 0.69/1.09  literals s-matched: 6
% 0.69/1.09  literals matched:   6
% 0.69/1.09  full subsumption:   0
% 0.69/1.09  
% 0.69/1.09  checksum:           -602521562
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksem ended
%------------------------------------------------------------------------------