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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRA001-1 : 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 : Sat Jul 16 07:11:29 EDT 2022

% Result   : Unsatisfiable 0.42s 1.06s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % 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 : Tue May 31 02:52:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.06  *** allocated 10000 integers for termspace/termends
% 0.42/1.06  *** allocated 10000 integers for clauses
% 0.42/1.06  *** allocated 10000 integers for justifications
% 0.42/1.06  Bliksem 1.12
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Automatic Strategy Selection
% 0.42/1.06  
% 0.42/1.06  Clauses:
% 0.42/1.06  [
% 0.42/1.06     [ a, b ],
% 0.42/1.06     [ ~( a ), ~( b ) ],
% 0.42/1.06     [ a, c, ~( d ) ],
% 0.42/1.06     [ a, ~( c ), d ],
% 0.42/1.06     [ ~( a ), c, d ],
% 0.42/1.06     [ ~( a ), ~( c ), ~( d ) ],
% 0.42/1.06     [ b, c, ~( e ) ],
% 0.42/1.06     [ b, ~( c ), e ],
% 0.42/1.06     [ ~( b ), c, e ],
% 0.42/1.06     [ ~( b ), ~( c ), ~( e ) ],
% 0.42/1.06     [ d, ~( e ) ],
% 0.42/1.06     [ ~( d ), e ]
% 0.42/1.06  ] .
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  percentage equality = 0.000000, percentage horn = 0.416667
% 0.42/1.06  This a non-horn, non-equality problem
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Options Used:
% 0.42/1.06  
% 0.42/1.06  useres =            1
% 0.42/1.06  useparamod =        0
% 0.42/1.06  useeqrefl =         0
% 0.42/1.06  useeqfact =         0
% 0.42/1.06  usefactor =         1
% 0.42/1.06  usesimpsplitting =  0
% 0.42/1.06  usesimpdemod =      0
% 0.42/1.06  usesimpres =        3
% 0.42/1.06  
% 0.42/1.06  resimpinuse      =  1000
% 0.42/1.06  resimpclauses =     20000
% 0.42/1.06  substype =          standard
% 0.42/1.06  backwardsubs =      1
% 0.42/1.06  selectoldest =      5
% 0.42/1.06  
% 0.42/1.06  litorderings [0] =  split
% 0.42/1.06  litorderings [1] =  liftord
% 0.42/1.06  
% 0.42/1.06  termordering =      none
% 0.42/1.06  
% 0.42/1.06  litapriori =        1
% 0.42/1.06  termapriori =       0
% 0.42/1.06  litaposteriori =    0
% 0.42/1.06  termaposteriori =   0
% 0.42/1.06  demodaposteriori =  0
% 0.42/1.06  ordereqreflfact =   0
% 0.42/1.06  
% 0.42/1.06  litselect =         none
% 0.42/1.06  
% 0.42/1.06  maxweight =         15
% 0.42/1.06  maxdepth =          30000
% 0.42/1.06  maxlength =         115
% 0.42/1.06  maxnrvars =         195
% 0.42/1.06  excuselevel =       1
% 0.42/1.06  increasemaxweight = 1
% 0.42/1.06  
% 0.42/1.06  maxselected =       10000000
% 0.42/1.06  maxnrclauses =      10000000
% 0.42/1.06  
% 0.42/1.06  showgenerated =    0
% 0.42/1.06  showkept =         0
% 0.42/1.06  showselected =     0
% 0.42/1.06  showdeleted =      0
% 0.42/1.06  showresimp =       1
% 0.42/1.06  showstatus =       2000
% 0.42/1.06  
% 0.42/1.06  prologoutput =     1
% 0.42/1.06  nrgoals =          5000000
% 0.42/1.06  totalproof =       1
% 0.42/1.06  
% 0.42/1.06  Symbols occurring in the translation:
% 0.42/1.06  
% 0.42/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.06  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 0.42/1.06  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.42/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/1.06  a  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.42/1.06  b  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.42/1.06  c  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.42/1.06  d  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.42/1.06  e  [43, 0]      (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Starting Search:
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Bliksems!, er is een bewijs:
% 0.42/1.06  % SZS status Unsatisfiable
% 0.42/1.06  % SZS output start Refutation
% 0.42/1.06  
% 0.42/1.06  clause( 0, [ a, b ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 1, [ ~( a ), ~( b ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 2, [ a, c, ~( d ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 3, [ a, d, ~( c ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 4, [ c, d, ~( a ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 5, [ ~( a ), ~( c ), ~( d ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 6, [ b, c, ~( e ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 7, [ b, e, ~( c ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 8, [ c, e, ~( b ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 9, [ ~( b ), ~( c ), ~( e ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 10, [ d, ~( e ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 11, [ e, ~( d ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 12, [ c, a, e ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 13, [ a, d ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 14, [ a, c ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 15, [ a, e ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 16, [ ~( b ), ~( c ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 17, [ a ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 18, [ e, ~( c ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 19, [ c, d ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 20, [ e ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 21, [ d ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 22, [ ~( c ) ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 23, [ b ] )
% 0.42/1.06  .
% 0.42/1.06  clause( 24, [] )
% 0.42/1.06  .
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  % SZS output end Refutation
% 0.42/1.06  found a proof!
% 0.42/1.06  
% 0.42/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06  
% 0.42/1.06  initialclauses(
% 0.42/1.06  [ clause( 26, [ a, b ] )
% 0.42/1.06  , clause( 27, [ ~( a ), ~( b ) ] )
% 0.42/1.06  , clause( 28, [ a, c, ~( d ) ] )
% 0.42/1.06  , clause( 29, [ a, ~( c ), d ] )
% 0.42/1.06  , clause( 30, [ ~( a ), c, d ] )
% 0.42/1.06  , clause( 31, [ ~( a ), ~( c ), ~( d ) ] )
% 0.42/1.06  , clause( 32, [ b, c, ~( e ) ] )
% 0.42/1.06  , clause( 33, [ b, ~( c ), e ] )
% 0.42/1.06  , clause( 34, [ ~( b ), c, e ] )
% 0.42/1.06  , clause( 35, [ ~( b ), ~( c ), ~( e ) ] )
% 0.42/1.06  , clause( 36, [ d, ~( e ) ] )
% 0.42/1.06  , clause( 37, [ ~( d ), e ] )
% 0.42/1.06  ] ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 0, [ a, b ] )
% 0.42/1.06  , clause( 26, [ a, b ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 1, [ ~( a ), ~( b ) ] )
% 0.42/1.06  , clause( 27, [ ~( a ), ~( b ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 2, [ a, c, ~( d ) ] )
% 0.42/1.06  , clause( 28, [ a, c, ~( d ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06    , 2 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 3, [ a, d, ~( c ) ] )
% 0.42/1.06  , clause( 29, [ a, ~( c ), d ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06    , 1 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 4, [ c, d, ~( a ) ] )
% 0.42/1.06  , clause( 30, [ ~( a ), c, d ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06    , 1 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 5, [ ~( a ), ~( c ), ~( d ) ] )
% 0.42/1.06  , clause( 31, [ ~( a ), ~( c ), ~( d ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06    , 2 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 6, [ b, c, ~( e ) ] )
% 0.42/1.06  , clause( 32, [ b, c, ~( e ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06    , 2 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 7, [ b, e, ~( c ) ] )
% 0.42/1.06  , clause( 33, [ b, ~( c ), e ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06    , 1 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 8, [ c, e, ~( b ) ] )
% 0.42/1.06  , clause( 34, [ ~( b ), c, e ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.42/1.06    , 1 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 9, [ ~( b ), ~( c ), ~( e ) ] )
% 0.42/1.06  , clause( 35, [ ~( b ), ~( c ), ~( e ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.42/1.06    , 2 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 10, [ d, ~( e ) ] )
% 0.42/1.06  , clause( 36, [ d, ~( e ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 11, [ e, ~( d ) ] )
% 0.42/1.06  , clause( 37, [ ~( d ), e ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 38, [ c, e, a ] )
% 0.42/1.06  , clause( 8, [ c, e, ~( b ) ] )
% 0.42/1.06  , 2, clause( 0, [ a, b ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 12, [ c, a, e ] )
% 0.42/1.06  , clause( 38, [ c, e, a ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2
% 0.42/1.06    , 1 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 39, [ d, c, a ] )
% 0.42/1.06  , clause( 10, [ d, ~( e ) ] )
% 0.42/1.06  , 1, clause( 12, [ c, a, e ] )
% 0.42/1.06  , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 40, [ a, d, d, a ] )
% 0.42/1.06  , clause( 3, [ a, d, ~( c ) ] )
% 0.42/1.06  , 2, clause( 39, [ d, c, a ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 41, [ a, d, d ] )
% 0.42/1.06  , clause( 40, [ a, d, d, a ] )
% 0.42/1.06  , 0, 3, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 42, [ a, d ] )
% 0.42/1.06  , clause( 41, [ a, d, d ] )
% 0.42/1.06  , 1, 2, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 13, [ a, d ] )
% 0.42/1.06  , clause( 42, [ a, d ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 43, [ a, c, a ] )
% 0.42/1.06  , clause( 2, [ a, c, ~( d ) ] )
% 0.42/1.06  , 2, clause( 13, [ a, d ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 44, [ a, c ] )
% 0.42/1.06  , clause( 43, [ a, c, a ] )
% 0.42/1.06  , 0, 2, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 14, [ a, c ] )
% 0.42/1.06  , clause( 44, [ a, c ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 45, [ e, a ] )
% 0.42/1.06  , clause( 11, [ e, ~( d ) ] )
% 0.42/1.06  , 1, clause( 13, [ a, d ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 15, [ a, e ] )
% 0.42/1.06  , clause( 45, [ e, a ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 46, [ ~( b ), ~( c ), a ] )
% 0.42/1.06  , clause( 9, [ ~( b ), ~( c ), ~( e ) ] )
% 0.42/1.06  , 2, clause( 15, [ a, e ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 47, [ ~( b ), ~( b ), ~( c ) ] )
% 0.42/1.06  , clause( 1, [ ~( a ), ~( b ) ] )
% 0.42/1.06  , 0, clause( 46, [ ~( b ), ~( c ), a ] )
% 0.42/1.06  , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 48, [ ~( b ), ~( c ) ] )
% 0.42/1.06  , clause( 47, [ ~( b ), ~( b ), ~( c ) ] )
% 0.42/1.06  , 0, 1, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 16, [ ~( b ), ~( c ) ] )
% 0.42/1.06  , clause( 48, [ ~( b ), ~( c ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 49, [ ~( b ), a ] )
% 0.42/1.06  , clause( 16, [ ~( b ), ~( c ) ] )
% 0.42/1.06  , 1, clause( 14, [ a, c ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 50, [ a, a ] )
% 0.42/1.06  , clause( 49, [ ~( b ), a ] )
% 0.42/1.06  , 0, clause( 0, [ a, b ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 51, [ a ] )
% 0.42/1.06  , clause( 50, [ a, a ] )
% 0.42/1.06  , 0, 1, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 17, [ a ] )
% 0.42/1.06  , clause( 51, [ a ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 52, [ ~( c ), e, ~( c ) ] )
% 0.42/1.06  , clause( 16, [ ~( b ), ~( c ) ] )
% 0.42/1.06  , 0, clause( 7, [ b, e, ~( c ) ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 53, [ ~( c ), e ] )
% 0.42/1.06  , clause( 52, [ ~( c ), e, ~( c ) ] )
% 0.42/1.06  , 0, 2, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 18, [ e, ~( c ) ] )
% 0.42/1.06  , clause( 53, [ ~( c ), e ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 54, [ c, d, d ] )
% 0.42/1.06  , clause( 4, [ c, d, ~( a ) ] )
% 0.42/1.06  , 2, clause( 13, [ a, d ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 55, [ c, d ] )
% 0.42/1.06  , clause( 54, [ c, d, d ] )
% 0.42/1.06  , 1, 2, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 19, [ c, d ] )
% 0.42/1.06  , clause( 55, [ c, d ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.42/1.06     ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 56, [ e, c ] )
% 0.42/1.06  , clause( 11, [ e, ~( d ) ] )
% 0.42/1.06  , 1, clause( 19, [ c, d ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 57, [ e, e ] )
% 0.42/1.06  , clause( 18, [ e, ~( c ) ] )
% 0.42/1.06  , 1, clause( 56, [ e, c ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  factor(
% 0.42/1.06  clause( 58, [ e ] )
% 0.42/1.06  , clause( 57, [ e, e ] )
% 0.42/1.06  , 0, 1, substitution( 0, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 20, [ e ] )
% 0.42/1.06  , clause( 58, [ e ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 59, [ d ] )
% 0.42/1.06  , clause( 10, [ d, ~( e ) ] )
% 0.42/1.06  , 1, clause( 20, [ e ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 21, [ d ] )
% 0.42/1.06  , clause( 59, [ d ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 60, [ ~( c ), ~( d ) ] )
% 0.42/1.06  , clause( 5, [ ~( a ), ~( c ), ~( d ) ] )
% 0.42/1.06  , 0, clause( 17, [ a ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 61, [ ~( c ) ] )
% 0.42/1.06  , clause( 60, [ ~( c ), ~( d ) ] )
% 0.42/1.06  , 1, clause( 21, [ d ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 22, [ ~( c ) ] )
% 0.42/1.06  , clause( 61, [ ~( c ) ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 62, [ b, ~( e ) ] )
% 0.42/1.06  , clause( 22, [ ~( c ) ] )
% 0.42/1.06  , 0, clause( 6, [ b, c, ~( e ) ] )
% 0.42/1.06  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 63, [ b ] )
% 0.42/1.06  , clause( 62, [ b, ~( e ) ] )
% 0.42/1.06  , 1, clause( 20, [ e ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 23, [ b ] )
% 0.42/1.06  , clause( 63, [ b ] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 64, [ ~( a ) ] )
% 0.42/1.06  , clause( 1, [ ~( a ), ~( b ) ] )
% 0.42/1.06  , 1, clause( 23, [ b ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  resolution(
% 0.42/1.06  clause( 65, [] )
% 0.42/1.06  , clause( 64, [ ~( a ) ] )
% 0.42/1.06  , 0, clause( 17, [ a ] )
% 0.42/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  subsumption(
% 0.42/1.06  clause( 24, [] )
% 0.42/1.06  , clause( 65, [] )
% 0.42/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  end.
% 0.42/1.06  
% 0.42/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06  
% 0.42/1.06  Memory use:
% 0.42/1.06  
% 0.42/1.06  space for terms:        270
% 0.42/1.06  space for clauses:      1069
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  clauses generated:      34
% 0.42/1.06  clauses kept:           25
% 0.42/1.06  clauses selected:       18
% 0.42/1.06  clauses deleted:        6
% 0.42/1.06  clauses inuse deleted:  0
% 0.42/1.06  
% 0.42/1.06  subsentry:          11
% 0.42/1.06  literals s-matched: 11
% 0.42/1.06  literals matched:   11
% 0.42/1.06  full subsumption:   0
% 0.42/1.06  
% 0.42/1.06  checksum:           -58498
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  Bliksem ended
%------------------------------------------------------------------------------