TSTP Solution File: SYN101-1.002.002 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 02:47:43 EDT 2022

% Result   : Unsatisfiable 0.44s 1.09s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n007.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 : Tue Jul 12 05:28:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/1.09  *** allocated 10000 integers for termspace/termends
% 0.44/1.09  *** allocated 10000 integers for clauses
% 0.44/1.09  *** allocated 10000 integers for justifications
% 0.44/1.09  Bliksem 1.12
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Automatic Strategy Selection
% 0.44/1.09  
% 0.44/1.09  Clauses:
% 0.44/1.09  [
% 0.44/1.09     [ ~( 'p_1_2'( a, a ) ) ],
% 0.44/1.09     [ 'p_1_2'( X, Y ), ~( 'p_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) ) ],
% 0.44/1.09     [ 'p_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'q_1_1'( X, Y ) ) ],
% 0.44/1.09     [ 'q_1_2'( X, Y ), ~( 'p_2_2'( X, Y ) ), ~( 'q_1_1'( X, Y ) ) ],
% 0.44/1.09     [ 'q_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) ) ],
% 0.44/1.09     [ 'p_1_1'( X, Y ), ~( 'p_1_2'( X, Y ) ) ],
% 0.44/1.09     [ 'q_1_1'( X, Y ), ~( 'q_1_2'( X, Y ) ) ],
% 0.44/1.09     [ 'p_2_2'( X, Y ), ~( 'p_1_2'( X, Y ) ) ],
% 0.44/1.09     [ 'q_2_2'( X, Y ), ~( 'q_1_2'( X, Y ) ) ],
% 0.44/1.09     [ 'p_1_1'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ],
% 0.44/1.09     [ 'q_1_1'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ],
% 0.44/1.09     [ 'p_2_2'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ],
% 0.44/1.09     [ 'q_2_2'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ],
% 0.44/1.09     [ 'nq_1'( a ) ],
% 0.44/1.09     [ 'nq_1'( b ) ],
% 0.44/1.09     [ 'nq_2'( a ) ],
% 0.44/1.09     [ 'nq_2'( b ) ]
% 0.44/1.09  ] .
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  percentage equality = 0.000000, percentage horn = 1.000000
% 0.44/1.09  This is a near-Horn, non-equality  problem
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Options Used:
% 0.44/1.09  
% 0.44/1.09  useres =            1
% 0.44/1.09  useparamod =        0
% 0.44/1.09  useeqrefl =         0
% 0.44/1.09  useeqfact =         0
% 0.44/1.09  usefactor =         1
% 0.44/1.09  usesimpsplitting =  0
% 0.44/1.09  usesimpdemod =      0
% 0.44/1.09  usesimpres =        4
% 0.44/1.09  
% 0.44/1.09  resimpinuse      =  1000
% 0.44/1.09  resimpclauses =     20000
% 0.44/1.09  substype =          standard
% 0.44/1.09  backwardsubs =      1
% 0.44/1.09  selectoldest =      5
% 0.44/1.09  
% 0.44/1.09  litorderings [0] =  split
% 0.44/1.09  litorderings [1] =  liftord
% 0.44/1.09  
% 0.44/1.09  termordering =      none
% 0.44/1.09  
% 0.44/1.09  litapriori =        1
% 0.44/1.09  termapriori =       0
% 0.44/1.09  litaposteriori =    0
% 0.44/1.09  termaposteriori =   0
% 0.44/1.09  demodaposteriori =  0
% 0.44/1.09  ordereqreflfact =   0
% 0.44/1.09  
% 0.44/1.09  litselect =         negative
% 0.44/1.09  
% 0.44/1.09  maxweight =         30000
% 0.44/1.09  maxdepth =          30000
% 0.44/1.09  maxlength =         115
% 0.44/1.09  maxnrvars =         195
% 0.44/1.09  excuselevel =       0
% 0.44/1.09  increasemaxweight = 0
% 0.44/1.09  
% 0.44/1.09  maxselected =       10000000
% 0.44/1.09  maxnrclauses =      10000000
% 0.44/1.09  
% 0.44/1.09  showgenerated =    0
% 0.44/1.09  showkept =         0
% 0.44/1.09  showselected =     0
% 0.44/1.09  showdeleted =      0
% 0.44/1.09  showresimp =       1
% 0.44/1.09  showstatus =       2000
% 0.44/1.09  
% 0.44/1.09  prologoutput =     1
% 0.44/1.09  nrgoals =          5000000
% 0.44/1.09  totalproof =       1
% 0.44/1.09  
% 0.44/1.09  Symbols occurring in the translation:
% 0.44/1.09  
% 0.44/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.09  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/1.09  !  [4, 1]      (w:1, o:13, a:1, s:1, b:0), 
% 0.44/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.09  a  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.44/1.09  'p_1_2'  [40, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.44/1.09  'p_2_2'  [43, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.44/1.09  'p_1_1'  [44, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.44/1.09  'q_2_2'  [45, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.44/1.09  'q_1_1'  [46, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.44/1.09  'q_1_2'  [47, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.44/1.09  'nq_1'  [48, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.44/1.09  'nq_2'  [49, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.44/1.09  b  [50, 0]      (w:1, o:12, a:1, s:1, b:0).
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Starting Search:
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Bliksems!, er is een bewijs:
% 0.44/1.09  % SZS status Unsatisfiable
% 0.44/1.09  % SZS output start Refutation
% 0.44/1.09  
% 0.44/1.09  clause( 0, [ ~( 'p_1_2'( a, a ) ) ] )
% 0.44/1.09  .
% 0.44/1.09  clause( 2, [ 'p_1_2'( X, Y ), ~( 'q_1_1'( X, Y ) ), ~( 'q_2_2'( X, Y ) ) ]
% 0.44/1.09     )
% 0.44/1.09  .
% 0.44/1.09  clause( 4, [ 'q_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) ) ]
% 0.44/1.10     )
% 0.44/1.10  .
% 0.44/1.10  clause( 6, [ 'q_1_1'( X, Y ), ~( 'q_1_2'( X, Y ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 9, [ 'p_1_1'( X, Y ), ~( 'nq_2'( Y ) ), ~( 'nq_1'( X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 12, [ 'q_2_2'( X, Y ), ~( 'nq_2'( Y ) ), ~( 'nq_1'( X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 13, [ 'nq_1'( a ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 15, [ 'nq_2'( a ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 17, [ 'q_2_2'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 19, [ 'q_2_2'( a, a ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 21, [ ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 29, [ 'p_1_1'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 31, [ 'p_1_1'( a, a ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 33, [ 'q_1_2'( a, a ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 34, [] )
% 0.44/1.10  .
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  % SZS output end Refutation
% 0.44/1.10  found a proof!
% 0.44/1.10  
% 0.44/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10  
% 0.44/1.10  initialclauses(
% 0.44/1.10  [ clause( 36, [ ~( 'p_1_2'( a, a ) ) ] )
% 0.44/1.10  , clause( 37, [ 'p_1_2'( X, Y ), ~( 'p_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 38, [ 'p_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'q_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 39, [ 'q_1_2'( X, Y ), ~( 'p_2_2'( X, Y ) ), ~( 'q_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 40, [ 'q_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , clause( 41, [ 'p_1_1'( X, Y ), ~( 'p_1_2'( X, Y ) ) ] )
% 0.44/1.10  , clause( 42, [ 'q_1_1'( X, Y ), ~( 'q_1_2'( X, Y ) ) ] )
% 0.44/1.10  , clause( 43, [ 'p_2_2'( X, Y ), ~( 'p_1_2'( X, Y ) ) ] )
% 0.44/1.10  , clause( 44, [ 'q_2_2'( X, Y ), ~( 'q_1_2'( X, Y ) ) ] )
% 0.44/1.10  , clause( 45, [ 'p_1_1'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ] )
% 0.44/1.10  , clause( 46, [ 'q_1_1'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ] )
% 0.44/1.10  , clause( 47, [ 'p_2_2'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ] )
% 0.44/1.10  , clause( 48, [ 'q_2_2'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ] )
% 0.44/1.10  , clause( 49, [ 'nq_1'( a ) ] )
% 0.44/1.10  , clause( 50, [ 'nq_1'( b ) ] )
% 0.44/1.10  , clause( 51, [ 'nq_2'( a ) ] )
% 0.44/1.10  , clause( 52, [ 'nq_2'( b ) ] )
% 0.44/1.10  ] ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 0, [ ~( 'p_1_2'( a, a ) ) ] )
% 0.44/1.10  , clause( 36, [ ~( 'p_1_2'( a, a ) ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 2, [ 'p_1_2'( X, Y ), ~( 'q_1_1'( X, Y ) ), ~( 'q_2_2'( X, Y ) ) ]
% 0.44/1.10     )
% 0.44/1.10  , clause( 38, [ 'p_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'q_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 4, [ 'q_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) ) ]
% 0.44/1.10     )
% 0.44/1.10  , clause( 40, [ 'q_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 6, [ 'q_1_1'( X, Y ), ~( 'q_1_2'( X, Y ) ) ] )
% 0.44/1.10  , clause( 42, [ 'q_1_1'( X, Y ), ~( 'q_1_2'( X, Y ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 9, [ 'p_1_1'( X, Y ), ~( 'nq_2'( Y ) ), ~( 'nq_1'( X ) ) ] )
% 0.44/1.10  , clause( 45, [ 'p_1_1'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 12, [ 'q_2_2'( X, Y ), ~( 'nq_2'( Y ) ), ~( 'nq_1'( X ) ) ] )
% 0.44/1.10  , clause( 48, [ 'q_2_2'( X, Y ), ~( 'nq_1'( X ) ), ~( 'nq_2'( Y ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 13, [ 'nq_1'( a ) ] )
% 0.44/1.10  , clause( 49, [ 'nq_1'( a ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 15, [ 'nq_2'( a ) ] )
% 0.44/1.10  , clause( 51, [ 'nq_2'( a ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 53, [ 'q_2_2'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , clause( 12, [ 'q_2_2'( X, Y ), ~( 'nq_2'( Y ) ), ~( 'nq_1'( X ) ) ] )
% 0.44/1.10  , 2, clause( 13, [ 'nq_1'( a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 17, [ 'q_2_2'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , clause( 53, [ 'q_2_2'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.44/1.10    1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 54, [ 'q_2_2'( a, a ) ] )
% 0.44/1.10  , clause( 17, [ 'q_2_2'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , 1, clause( 15, [ 'nq_2'( a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 19, [ 'q_2_2'( a, a ) ] )
% 0.44/1.10  , clause( 54, [ 'q_2_2'( a, a ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 55, [ 'p_1_2'( a, a ), ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  , clause( 2, [ 'p_1_2'( X, Y ), ~( 'q_1_1'( X, Y ) ), ~( 'q_2_2'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , 2, clause( 19, [ 'q_2_2'( a, a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 56, [ ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  , clause( 0, [ ~( 'p_1_2'( a, a ) ) ] )
% 0.44/1.10  , 0, clause( 55, [ 'p_1_2'( a, a ), ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 21, [ ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  , clause( 56, [ ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 57, [ 'p_1_1'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , clause( 9, [ 'p_1_1'( X, Y ), ~( 'nq_2'( Y ) ), ~( 'nq_1'( X ) ) ] )
% 0.44/1.10  , 2, clause( 13, [ 'nq_1'( a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 29, [ 'p_1_1'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , clause( 57, [ 'p_1_1'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.44/1.10    1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 58, [ 'p_1_1'( a, a ) ] )
% 0.44/1.10  , clause( 29, [ 'p_1_1'( a, X ), ~( 'nq_2'( X ) ) ] )
% 0.44/1.10  , 1, clause( 15, [ 'nq_2'( a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 31, [ 'p_1_1'( a, a ) ] )
% 0.44/1.10  , clause( 58, [ 'p_1_1'( a, a ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 59, [ 'q_1_2'( a, a ), ~( 'q_2_2'( a, a ) ) ] )
% 0.44/1.10  , clause( 4, [ 'q_1_2'( X, Y ), ~( 'q_2_2'( X, Y ) ), ~( 'p_1_1'( X, Y ) )
% 0.44/1.10     ] )
% 0.44/1.10  , 2, clause( 31, [ 'p_1_1'( a, a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 60, [ 'q_1_2'( a, a ) ] )
% 0.44/1.10  , clause( 59, [ 'q_1_2'( a, a ), ~( 'q_2_2'( a, a ) ) ] )
% 0.44/1.10  , 1, clause( 19, [ 'q_2_2'( a, a ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 33, [ 'q_1_2'( a, a ) ] )
% 0.44/1.10  , clause( 60, [ 'q_1_2'( a, a ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 61, [ 'q_1_1'( a, a ) ] )
% 0.44/1.10  , clause( 6, [ 'q_1_1'( X, Y ), ~( 'q_1_2'( X, Y ) ) ] )
% 0.44/1.10  , 1, clause( 33, [ 'q_1_2'( a, a ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, a )] ), substitution( 1, [] )
% 0.44/1.10    ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 62, [] )
% 0.44/1.10  , clause( 21, [ ~( 'q_1_1'( a, a ) ) ] )
% 0.44/1.10  , 0, clause( 61, [ 'q_1_1'( a, a ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 34, [] )
% 0.44/1.10  , clause( 62, [] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  end.
% 0.44/1.10  
% 0.44/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10  
% 0.44/1.10  Memory use:
% 0.44/1.10  
% 0.44/1.10  space for terms:        557
% 0.44/1.10  space for clauses:      1868
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  clauses generated:      35
% 0.44/1.10  clauses kept:           35
% 0.44/1.10  clauses selected:       29
% 0.44/1.10  clauses deleted:        0
% 0.44/1.10  clauses inuse deleted:  0
% 0.44/1.10  
% 0.44/1.10  subsentry:          0
% 0.44/1.10  literals s-matched: 0
% 0.44/1.10  literals matched:   0
% 0.44/1.10  full subsumption:   0
% 0.44/1.10  
% 0.44/1.10  checksum:           -201409874
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Bliksem ended
%------------------------------------------------------------------------------