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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL002-5 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 : Fri Jul 15 00:12:19 EDT 2022

% Result   : Unsatisfiable 0.68s 1.06s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : COL002-5 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n029.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 15:16:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/1.06  *** allocated 10000 integers for termspace/termends
% 0.68/1.06  *** allocated 10000 integers for clauses
% 0.68/1.06  *** allocated 10000 integers for justifications
% 0.68/1.06  Bliksem 1.12
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Automatic Strategy Selection
% 0.68/1.06  
% 0.68/1.06  Clauses:
% 0.68/1.06  [
% 0.68/1.06     [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply( 
% 0.68/1.06    Y, Z ) ) ) ],
% 0.68/1.06     [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.68/1.06     ],
% 0.68/1.06     [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z ), Y ) )
% 0.68/1.06     ],
% 0.68/1.06     [ =( apply( i, X ), X ) ],
% 0.68/1.06     [ =( 'weak_fixed_point'( X ), apply( apply( apply( s, apply( c, apply( b
% 0.68/1.06    , X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, 
% 0.68/1.06    apply( b, X ) ) ) ) ) ],
% 0.68/1.06     [ ~( =( 'weak_fixed_point'( 'fixed_pt' ), apply( 'fixed_pt', 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ) ]
% 0.68/1.06  ] .
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.06  This is a pure equality problem
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Options Used:
% 0.68/1.06  
% 0.68/1.06  useres =            1
% 0.68/1.06  useparamod =        1
% 0.68/1.06  useeqrefl =         1
% 0.68/1.06  useeqfact =         1
% 0.68/1.06  usefactor =         1
% 0.68/1.06  usesimpsplitting =  0
% 0.68/1.06  usesimpdemod =      5
% 0.68/1.06  usesimpres =        3
% 0.68/1.06  
% 0.68/1.06  resimpinuse      =  1000
% 0.68/1.06  resimpclauses =     20000
% 0.68/1.06  substype =          eqrewr
% 0.68/1.06  backwardsubs =      1
% 0.68/1.06  selectoldest =      5
% 0.68/1.06  
% 0.68/1.06  litorderings [0] =  split
% 0.68/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.68/1.06  
% 0.68/1.06  termordering =      kbo
% 0.68/1.06  
% 0.68/1.06  litapriori =        0
% 0.68/1.06  termapriori =       1
% 0.68/1.06  litaposteriori =    0
% 0.68/1.06  termaposteriori =   0
% 0.68/1.06  demodaposteriori =  0
% 0.68/1.06  ordereqreflfact =   0
% 0.68/1.06  
% 0.68/1.06  litselect =         negord
% 0.68/1.06  
% 0.68/1.06  maxweight =         15
% 0.68/1.06  maxdepth =          30000
% 0.68/1.06  maxlength =         115
% 0.68/1.06  maxnrvars =         195
% 0.68/1.06  excuselevel =       1
% 0.68/1.06  increasemaxweight = 1
% 0.68/1.06  
% 0.68/1.06  maxselected =       10000000
% 0.68/1.06  maxnrclauses =      10000000
% 0.68/1.06  
% 0.68/1.06  showgenerated =    0
% 0.68/1.06  showkept =         0
% 0.68/1.06  showselected =     0
% 0.68/1.06  showdeleted =      0
% 0.68/1.06  showresimp =       1
% 0.68/1.06  showstatus =       2000
% 0.68/1.06  
% 0.68/1.06  prologoutput =     1
% 0.68/1.06  nrgoals =          5000000
% 0.68/1.06  totalproof =       1
% 0.68/1.06  
% 0.68/1.06  Symbols occurring in the translation:
% 0.68/1.06  
% 0.68/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.68/1.06  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.68/1.06  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.68/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.06  s  [39, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.68/1.06  apply  [41, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.68/1.06  b  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.68/1.06  c  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.68/1.06  i  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.68/1.06  'weak_fixed_point'  [47, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.68/1.06  'fixed_pt'  [48, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Starting Search:
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Bliksems!, er is een bewijs:
% 0.68/1.06  % SZS status Unsatisfiable
% 0.68/1.06  % SZS output start Refutation
% 0.68/1.06  
% 0.68/1.06  clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.68/1.06    , apply( Y, Z ) ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.68/1.06    Z ) ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 2, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z )
% 0.68/1.06    , Y ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 4, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), apply( 
% 0.68/1.06    s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, apply( b, X ) ) ) )
% 0.68/1.06    , 'weak_fixed_point'( X ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 5, [ ~( =( apply( 'fixed_pt', 'weak_fixed_point'( 'fixed_pt' ) ), 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 22, [ =( apply( X, 'weak_fixed_point'( X ) ), 'weak_fixed_point'( X
% 0.68/1.06     ) ) ] )
% 0.68/1.06  .
% 0.68/1.06  clause( 26, [] )
% 0.68/1.06  .
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  % SZS output end Refutation
% 0.68/1.06  found a proof!
% 0.68/1.06  
% 0.68/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.06  
% 0.68/1.06  initialclauses(
% 0.68/1.06  [ clause( 28, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, 
% 0.68/1.06    Z ), apply( Y, Z ) ) ) ] )
% 0.68/1.06  , clause( 29, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.68/1.06    Y, Z ) ) ) ] )
% 0.68/1.06  , clause( 30, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, 
% 0.68/1.06    Z ), Y ) ) ] )
% 0.68/1.06  , clause( 31, [ =( apply( i, X ), X ) ] )
% 0.68/1.06  , clause( 32, [ =( 'weak_fixed_point'( X ), apply( apply( apply( s, apply( 
% 0.68/1.06    c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ), apply( s, 
% 0.68/1.06    apply( c, apply( b, X ) ) ) ) ) ] )
% 0.68/1.06  , clause( 33, [ ~( =( 'weak_fixed_point'( 'fixed_pt' ), apply( 'fixed_pt', 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ) ] )
% 0.68/1.06  ] ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.68/1.06    , apply( Y, Z ) ) ) ] )
% 0.68/1.06  , clause( 28, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, 
% 0.68/1.06    Z ), apply( Y, Z ) ) ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.68/1.06    Z ) ) ) ] )
% 0.68/1.06  , clause( 29, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.68/1.06    Y, Z ) ) ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 2, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z )
% 0.68/1.06    , Y ) ) ] )
% 0.68/1.06  , clause( 30, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, 
% 0.68/1.06    Z ), Y ) ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 44, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), apply( 
% 0.68/1.06    s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, apply( b, X ) ) ) )
% 0.68/1.06    , 'weak_fixed_point'( X ) ) ] )
% 0.68/1.06  , clause( 32, [ =( 'weak_fixed_point'( X ), apply( apply( apply( s, apply( 
% 0.68/1.06    c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ), apply( s, 
% 0.68/1.06    apply( c, apply( b, X ) ) ) ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 4, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), apply( 
% 0.68/1.06    s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, apply( b, X ) ) ) )
% 0.68/1.06    , 'weak_fixed_point'( X ) ) ] )
% 0.68/1.06  , clause( 44, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, apply( b, X
% 0.68/1.06     ) ) ) ), 'weak_fixed_point'( X ) ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 50, [ ~( =( apply( 'fixed_pt', 'weak_fixed_point'( 'fixed_pt' ) ), 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ] )
% 0.68/1.06  , clause( 33, [ ~( =( 'weak_fixed_point'( 'fixed_pt' ), apply( 'fixed_pt', 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 5, [ ~( =( apply( 'fixed_pt', 'weak_fixed_point'( 'fixed_pt' ) ), 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ] )
% 0.68/1.06  , clause( 50, [ ~( =( apply( 'fixed_pt', 'weak_fixed_point'( 'fixed_pt' ) )
% 0.68/1.06    , 'weak_fixed_point'( 'fixed_pt' ) ) ) ] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 51, [ =( 'weak_fixed_point'( X ), apply( apply( apply( s, apply( c
% 0.68/1.06    , apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ), apply( s, 
% 0.68/1.06    apply( c, apply( b, X ) ) ) ) ) ] )
% 0.68/1.06  , clause( 4, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, apply( b, X
% 0.68/1.06     ) ) ) ), 'weak_fixed_point'( X ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  paramod(
% 0.68/1.06  clause( 58, [ =( 'weak_fixed_point'( X ), apply( apply( apply( c, apply( b
% 0.68/1.06    , X ) ), apply( s, apply( c, apply( b, X ) ) ) ), apply( apply( s, apply( 
% 0.68/1.06    c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ) ) ) ] )
% 0.68/1.06  , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.68/1.06     ), apply( Y, Z ) ) ) ] )
% 0.68/1.06  , 0, clause( 51, [ =( 'weak_fixed_point'( X ), apply( apply( apply( s, 
% 0.68/1.06    apply( c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ), 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ) ) ) ] )
% 0.68/1.06  , 0, 3, substitution( 0, [ :=( X, apply( c, apply( b, X ) ) ), :=( Y, apply( 
% 0.68/1.06    s, apply( c, apply( b, X ) ) ) ), :=( Z, apply( s, apply( c, apply( b, X
% 0.68/1.06     ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  paramod(
% 0.68/1.06  clause( 59, [ =( 'weak_fixed_point'( X ), apply( apply( apply( b, X ), 
% 0.68/1.06    apply( apply( s, apply( c, apply( b, X ) ) ), apply( s, apply( c, apply( 
% 0.68/1.06    b, X ) ) ) ) ), apply( s, apply( c, apply( b, X ) ) ) ) ) ] )
% 0.68/1.06  , clause( 2, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z
% 0.68/1.06     ), Y ) ) ] )
% 0.68/1.06  , 0, clause( 58, [ =( 'weak_fixed_point'( X ), apply( apply( apply( c, 
% 0.68/1.06    apply( b, X ) ), apply( s, apply( c, apply( b, X ) ) ) ), apply( apply( s
% 0.68/1.06    , apply( c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ) )
% 0.68/1.06     ) ] )
% 0.68/1.06  , 0, 3, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, apply( s, apply( 
% 0.68/1.06    c, apply( b, X ) ) ) ), :=( Z, apply( apply( s, apply( c, apply( b, X ) )
% 0.68/1.06     ), apply( s, apply( c, apply( b, X ) ) ) ) )] ), substitution( 1, [ :=( 
% 0.68/1.06    X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  paramod(
% 0.68/1.06  clause( 60, [ =( 'weak_fixed_point'( X ), apply( X, apply( apply( apply( s
% 0.68/1.06    , apply( c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ), 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ) ) ) ) ] )
% 0.68/1.06  , clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.06    , Z ) ) ) ] )
% 0.68/1.06  , 0, clause( 59, [ =( 'weak_fixed_point'( X ), apply( apply( apply( b, X )
% 0.68/1.06    , apply( apply( s, apply( c, apply( b, X ) ) ), apply( s, apply( c, apply( 
% 0.68/1.06    b, X ) ) ) ) ), apply( s, apply( c, apply( b, X ) ) ) ) ) ] )
% 0.68/1.06  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, apply( apply( s, apply( c, 
% 0.68/1.06    apply( b, X ) ) ), apply( s, apply( c, apply( b, X ) ) ) ) ), :=( Z, 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.06    ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  paramod(
% 0.68/1.06  clause( 61, [ =( 'weak_fixed_point'( X ), apply( X, 'weak_fixed_point'( X )
% 0.68/1.06     ) ) ] )
% 0.68/1.06  , clause( 4, [ =( apply( apply( apply( s, apply( c, apply( b, X ) ) ), 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ) ), apply( s, apply( c, apply( b, X
% 0.68/1.06     ) ) ) ), 'weak_fixed_point'( X ) ) ] )
% 0.68/1.06  , 0, clause( 60, [ =( 'weak_fixed_point'( X ), apply( X, apply( apply( 
% 0.68/1.06    apply( s, apply( c, apply( b, X ) ) ), apply( s, apply( c, apply( b, X )
% 0.68/1.06     ) ) ), apply( s, apply( c, apply( b, X ) ) ) ) ) ) ] )
% 0.68/1.06  , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.06    ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 62, [ =( apply( X, 'weak_fixed_point'( X ) ), 'weak_fixed_point'( X
% 0.68/1.06     ) ) ] )
% 0.68/1.06  , clause( 61, [ =( 'weak_fixed_point'( X ), apply( X, 'weak_fixed_point'( X
% 0.68/1.06     ) ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 22, [ =( apply( X, 'weak_fixed_point'( X ) ), 'weak_fixed_point'( X
% 0.68/1.06     ) ) ] )
% 0.68/1.06  , clause( 62, [ =( apply( X, 'weak_fixed_point'( X ) ), 'weak_fixed_point'( 
% 0.68/1.06    X ) ) ] )
% 0.68/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 63, [ =( 'weak_fixed_point'( X ), apply( X, 'weak_fixed_point'( X )
% 0.68/1.06     ) ) ] )
% 0.68/1.06  , clause( 22, [ =( apply( X, 'weak_fixed_point'( X ) ), 'weak_fixed_point'( 
% 0.68/1.06    X ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  eqswap(
% 0.68/1.06  clause( 64, [ ~( =( 'weak_fixed_point'( 'fixed_pt' ), apply( 'fixed_pt', 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ) ] )
% 0.68/1.06  , clause( 5, [ ~( =( apply( 'fixed_pt', 'weak_fixed_point'( 'fixed_pt' ) )
% 0.68/1.06    , 'weak_fixed_point'( 'fixed_pt' ) ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  resolution(
% 0.68/1.06  clause( 65, [] )
% 0.68/1.06  , clause( 64, [ ~( =( 'weak_fixed_point'( 'fixed_pt' ), apply( 'fixed_pt', 
% 0.68/1.06    'weak_fixed_point'( 'fixed_pt' ) ) ) ) ] )
% 0.68/1.06  , 0, clause( 63, [ =( 'weak_fixed_point'( X ), apply( X, 'weak_fixed_point'( 
% 0.68/1.06    X ) ) ) ] )
% 0.68/1.06  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  subsumption(
% 0.68/1.06  clause( 26, [] )
% 0.68/1.06  , clause( 65, [] )
% 0.68/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  end.
% 0.68/1.06  
% 0.68/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.06  
% 0.68/1.06  Memory use:
% 0.68/1.06  
% 0.68/1.06  space for terms:        694
% 0.68/1.06  space for clauses:      4604
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  clauses generated:      50
% 0.68/1.06  clauses kept:           27
% 0.68/1.06  clauses selected:       7
% 0.68/1.06  clauses deleted:        0
% 0.68/1.06  clauses inuse deleted:  0
% 0.68/1.06  
% 0.68/1.06  subsentry:          132
% 0.68/1.06  literals s-matched: 64
% 0.68/1.06  literals matched:   64
% 0.68/1.06  full subsumption:   0
% 0.68/1.06  
% 0.68/1.06  checksum:           -408589547
% 0.68/1.06  
% 0.68/1.06  
% 0.68/1.06  Bliksem ended
%------------------------------------------------------------------------------